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37
Historical Return Data—US Dollars MATRIX BOOK 2013

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Transcript of Dfa matrix book us_2013 - copy

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Historical Return Data—US Dollars

Matrix Book 2013

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on the cover

Decades of financial

research underlie our

views on the capital

markets and form the

basis for how we invest.

As research progresses,

Dimensional continues

to evolve—offering new

dimensions to investors. Historical Return Data—US Dollars

Matrix Book 2 013

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we disregarded it. As it turns out, there hasn’t been a January effect since we began managing small cap strategies. This is what happens to most anomalies—they disappear when the data set is expanded.

Data mining is a big concern when we look for patterns in returns. As a result, we have more confidence when patterns are persistent across time periods and pervasive across markets. The multifactor research of Eugene Fama and Ken French is a good example. When Fama and French first presented their research on the dimensions of equity returns in 1991, their evidence was based on US stocks from 1963 to 1990. Some people wondered if their results might be due to data mining, similar to the

January effect. In response to that concern, Fama and French did two out-of-sample tests. First, working with Jim Davis, they collected and analyzed the data in the US from 1926 to 1962. Second, they studied the performance of stocks

in developed and emerging markets around the world. They found the return patterns in both the pre-1963 data and the non-US data were consistent with the patterns they had observed in the US returns from 1963 to 1990. More recent returns continue to support their earlier conclusions. As a result, we are confident that the size and value factors are, in fact, dimensions of expected returns.

The Fama/French research led us to create our value strategies, which increase the exposure to low priced stocks relative to their weight in benchmarks used by our clients. Recent research on profitability by Robert Novy-Marx has identified another measure that appears to meet our standards for a dimension of expected returns. Using a measure of gross operating margin as the gauge of profitability, high profitability firms have higher average returns than low profitability firms. Our research team has replicated his work, and, once again, we find the results persistent and pervasive around the world.

Using valuation models The finding that firms with high direct profitability have higher stock returns is not surprising to most people. But to some, a higher expected return must mean greater risk.

A parallel may be drawn between direct profitability and term premiums for fixed income obligations. It is well known that buying 1-month

Dimensional’s Rich Historykey breakthroughs in finding and pursuing dimensions of equity returns

Small Cap Strategies

Value Strategies

Applied Core Equity Strategies

Opens the door to new strategies and potential enhancements to existing strategies

Company Size Dimensional offers investors diversified, cost-efficient access to small companies.

Relative Price Fama/French research identifies market, size, and value factors as the principal drivers of equity returns.

Total Market Solutions Advancement in portfolio design provides value-added, efficient total market solutions that focus on dimensions of higher expected returns.

Direct Profitability Research identifies a robust proxy for a new investable dimension of higher expected return—expected profitability.

1981 1992 2004 2012

We conSiDeR a DimenSion to be a factoR tHat explainS

DiffeRenceS in RetURnS, iS peRSiStent anD peRvaSive, anD

iS conSiStent WitH an eqUilibRiUm vieW of inveSting.

We believe that the best way to add value over benchmark returns is by structuring portfolios around the dimensions of expected returns. Portfolio structure, rather than the tactical shifts associated with conventional management, drives the performance of portfolios.

Clients vary in their preferences toward these investment dimensions. We work with clients to figure out what structure works best for them. Often, this involves trading off increased expected returns against costs and tracking error.

Identifying dimensions of expected returnsWe consider a dimension to be a factor that explains differences in returns, is persistent and pervasive, and is consistent with an equilibrium view of investing. These characteristics give us confidence that we can expect the relations observed in the past to repeat in the future.

Our fixed income portfolios are structured around two generally accepted dimensions of fixed income expected returns: term (maturity) and credit spread (quality). Our equity portfolios

are based on four dimensions of expected returns that have been identified by academic research: the overall market (beta), company size (small cap/large cap), relative price (high/low), and direct profitability (high/low).

Beginning in the mid-1960s, asset pricing models have been developed to explain differences in average returns across portfolios and individual securities. Testing any model eventually produces anomalies, because no model can perfectly describe reality. But eventually, most anomalies disappear, get explained away, or sink the pricing model that revealed them.

Evaluating the research Our evolution parallels the evolution of research. In 1981, when we started our firm offering small cap investment strategies, the “size effect” was an anomaly. Small cap stocks had higher average returns than could be explained by the single-factor market model used at the time. Nevertheless, we felt comfortable launching a small cap fund, because the size effect was so persistent and pervasive. We didn’t have a good explanation for the higher returns, but it seemed reasonable that the smaller the firm, the higher its costs of capital; and the return to an investor is the company’s cost of capital.

Not long after we started Dimensional, Don Keim discovered another anomaly, “the January effect.” His research showed that most of the size effect occurred in January. We could see no sensible equilibrium explanation for a January effect, so

Dimensional evolves as the science of investing

evolves, which explains why we keep such close

connection to the academic community. many,

if not most, of the major advances in portfolio

management over the last 60 years have come

from academic research.

tHE EVoLUtioN oF DiMENSioNaL

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that have underperformed in a past period are more likely to underperform in the next period; stocks that have outperformed have a tendency to continue to outperform. If the momentum effect were large enough to trade on profitably, then it would be evidence of market mispricing.

We believe that momentum is a factor affecting returns, but it is too small and sporadic to actively induce trading. Momentum is stronger in small cap stocks than in large cap stocks, which is consistent with our view that it is best considered a trading cost rather than a trading rule. Momentum is also quite variable; in 2009, it was sharply negative for US stocks.

However, by trading carefully, it is possible to use momentum to increase returns. For example, momentum has explained most of the outperformance of our small cap strategies relative to small cap indices.

Contrast with conventional managementDimensional’s investment philosophy is centered on an equilibrium, or efficient market, view of public markets. In this view, the best way to add value over conventional benchmarks is to structure portfolios along the dimensions of expected returns. For equity portfolios, expected returns are increased by giving greater weight to small cap, low relative price, and high direct profitability firms.

A competing philosophy dominates conventional money management. In that view, value can be added through tactical shifts. For example, behavioral finance proponents argue that low

priced stocks have higher returns than high priced stocks because of market mispricing. Interestingly, they use much of the same data to support their view that we use to support ours. Clients who want to hire a money manager to capture mispricings have a difficult challenge: First, they have to be able to identify successful

managers in advance, and second, they have to hope that any such managers don’t raise their fees to keep the bulk of any alpha for themselves.

We believe that our philosophy provides a better investment experience. Our approach is transparent and easy to explain because it relies on basic valuation methods and extensive empirical research, and it is validated by a long track record of implementation.

Looking forwardDimensional will continue to evolve as research on the dimensions of returns progresses. When we started the firm in 1981, academic research used the single-factor market model to explain average returns. The size effect was viewed as an anomaly because small cap returns were too great to be explained by beta. Nevertheless, we sponsored a small cap fund because the size effect was persistent and pervasive, and because it gave institutional investors a tool to efficiently diversify beyond large cap stocks.

In our view, the size effect went from being an anomaly to a dimension of returns in the Fama/French three-factor model, even though there is still no robust explanation of why it exists. Their research also identified the value effect as a dimension and led to the creation of our value funds.

The latest research has identified profitability as a dimension of expected returns, with highly profitable firms having higher average returns than can be explained by the three-factor model. So the evolution of financial science continues. We are very excited about this new research and will incorporate it into the investment policies of many of our existing portfolios. We also have developed new portfolios based on this research—the first of these were two US growth strategies and two international growth strategies.

David BoothCo-Chief Executive Officer,Dimensional Fund Advisors

tHe beSt Way to aDD valUe iS to StRUctURe poRtfolioS

along tHe DimenSionS of expecteD RetURnS.

Treasuries produces a lower return, on average, than buying 3-month Treasuries. For some investors, 3-month bills are less risky, or only slightly more risky, than 1-month bills. The higher return for the 3-month maturities is not due to mispricing; it is just the result of market forces. Similarly, it is perfectly reasonable that equity markets have dimensions of returns that may be particularly attractive to some investors and not others. Our confidence that we have correctly identified a dimension goes up if we can connect it to a basic valuation model, such as the equation below.

The value of a stock or bond is the sum of future cash flows discounted back to present value. For example, the price of a bond is determined by the stream of coupon payments and principal repayment, discounted back at various interest rates. A high-yield bond must either have a higher coupon or sell at a lower price than a low-yield bond.

Generally, the greater the risk of an investment, the higher the discount rate and lower the price. The discount rate is the investment’s expected return. Reworking the equation above to solve for expected return gives us:

Expressing the relation this way highlights two of the dimensions of expected returns for

equities—relative price and direct profitability. Higher expected returns are the result of having either higher expected cash flows or a lower price. The direct profitability dimension is tied to the numerator and the relative price dimension to the denominator. Stated another way, if two stocks sell at the same price, then the one with higher expected cash flows must have a higher expected return.

These two dimensions, relative price and direct profitability, can be combined to improve portfolio structure. For example, the explanatory power of direct profitability is fairly weak. However, when conditioned on the relative price dimension, the explanatory power becomes much stronger.

Our growth and value strategies are not contradictory. They both are structured around the same dimensions of size, relative price, and direct profitability. The difference is that one focuses on stocks selling at high relative prices, and the other focuses on stocks selling at low relative prices. In our view, value and growth are not opposite ends of one dimension, but two different dimensions.

Momentum Momentum is an example of a factor that does not meet our criteria as a dimension of returns but still impacts portfolio returns.

Research suggests that there is momentum in stock prices in most markets around the world. Stocks

expected = Returns

expected cash flows

price

price = expected cash flows

Discount Rate

Size

large

Small

Size Effect, 1981

Size

Relative Price

large

low High

Small

Value Effect, 1991

SizeDirect Profitability

Relative Price

low

High

low

High

low High

large

large

Small

Small

Direct Profitability, 2012

Advancements in Research

Single-Factor Model, 1963

Market

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MATRIX BOOK 2013 7

tHe evolUtion of DimenSional 2

annUalizeD RateS of RetURnS (%) 8

HoW to USe tHiS book 9

ToTal ReTuRnS S&p 500 inDex 1926–2012 11

fama/fRencH total US maRket inDex 1927–2012 13

DimenSional US aDjUSteD maRket 1 inDex 1928–2012 15

DimenSional US aDjUSteD maRket 2 inDex 1928–2012 17

DimenSional US aDjUSteD maRket valUe inDex 1928–2012 19

DimenSional US laRge cap gRoWtH inDex 1975–2012 20

DimenSional US Small cap gRoWtH inDex 1975–2012 21

fama/fRencH US laRge valUe ReSeaRcH inDex 1927–2012 23

fama/fRencH US Small valUe ReSeaRcH inDex 1927–2012 25

DimenSional US taRgeteD valUe inDex 1928–2012 27

fama/fRencH US Small cap inDex 1927–2012 29

DoW joneS US Select Reit inDex 1978–2012 30

DoW joneS-UbS commoDity inDex 1992–2012 30

DimenSional inteRnational laRge cap gRoWtH inDex 1992–2012 31

mSci eafe inDex 1970–2012 31

DimenSional inteRnational aDjUSteD maRket inDex 1994–2012 32

DimenSional inteRnational vectoR inDex 1994–2012 32

fama/fRencH inteRnational valUe inDex 1975–2012 33

DimenSional inteRnational Small cap gRoWtH inDex 1992–2012 33

DimenSional inteRnational Small cap inDex 1970–2012 34

DimenSional inteRnational Small cap valUe inDex 1982–2012 34

mSci emeRging maRketS inDex 1988–2012 35

DimenSional emeRging maRketS aDjUSteD maRket inDex 1994–2012 35

DimenSional emeRging maRketS gRoWtH inDex 1996–2012 35

one-montH US tReaSURy billS 1926–2012 37

long-teRm goveRnment bonDS 1926–2012 39

long-teRm coRpoRate bonDS 1926–2012 41

baRclayS US tipS inDex 1998–2012 42

one-montH ceRtificateS of DepoSit 1966–2012 42

baRclayS US aggRegate bonD inDex 1976–2012 43

baRclayS mUnicipal bonD inDex 1980–2012 43

DimenSional US inteRmeDiate vaRiable cReDit inDex 1974–2012 44

DimenSional US inteRmeDiate vaRiable goveRnment/cReDit inDex 1974–2012 44

DimenSional US inteRmeDiate vaRiable matURity goveRnment/cReDit inDex 1977–2012 45

DimenSional global inteRmeDiate vaRiable matURity inDex 1985–2012 45

Real ReTuRnS (InflaTIon aDjuSTeD) US inflation: cHangeS in US conSUmeR pRice inDex 1926–2012 47

fama/fRencH US Small cap inDex 1927–2012 49

S&p 500 inDex 1926–2012 51

long-teRm goveRnment bonDS 1926–2012 53

one-montH US tReaSURy billS 1926–2012 55

one-montH ceRtificateS of DepoSit 1966–2012 56

DoW joneS US Select Reit inDex 1978–2012 57

DoW joneS-UbS commoDity inDex 1992–2012 57

BalanceD STRaTegIeSbalanceD StRategieS: WeigHtS anD SUmmaRy StatiSticS 58

balanceD StRategy: fixeD 1973–2012 60

balanceD StRategy: conSeRvative 1973–2012 60

balanceD StRategy: moDeRate 1973–2012 61

balanceD StRategy: noRmal 1973–2012 61

balanceD StRategy: aggReSSive 1973–2012 62

balanceD StRategy: eqUity 1973–2012 62

global StRategieS 63

WoRlD maRket capitalization 64

SoURceS anD DeScRiptionS of Data 66

TABLE OF CONTENTS

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DIMENSIONAL FUND ADVISORS MATRIX BOOK 20138 9

For example, to find the annualized compound rate of return for the Fama/French US Large Value Research Index for the interval 1996–2004:

locate the column for the first year of the interval (1996). years are labeled at the top and bottom of each column.

locate the row for the last year of the interval (2004). years are labeled at the beginning of each row.

the return can be found where the first year’s column meets the last year’s row. in this example, the fama/french US large value Research index had a compound rate of return of 10.2% per year for the nine-year period.

3

2

1

19931993 22.2 19941994 7.3 -5.8 19951995 16.3 13.4 36.6 19961996 15.9 13.8 25.2 14.7 19971997 18.1 17.1 25.9 20.8 27.3 19981998 18.6 17.8 24.6 20.9 24.1 21.0 19991999 15.5 14.4 19.0 14.9 15.0 9.3 -1.3 20002000 16.0 15.1 19.0 15.8 16.1 12.6 8.6 19.5 20012001 14.1 13.1 16.1 13.0 12.7 9.3 5.6 9.3 0.0 20022002 9.4 8.1 9.9 6.6 5.3 1.4 -3.0 -3.6 -13.4 -25.0 20032003 11.0 9.9 11.8 9.0 8.3 5.4 2.5 3.5 -1.4 -2.1 27.8 20042004 11.7 10.8 12.6 10.2 9.7 7.4 5.2 6.6 3.6 4.8 23.9 20.1 20052005 11.7 10.9 12.5 10.4 9.9 7.9 6.2 7.5 5.2 6.6 19.8 16.0 12.0 20062006 12.6 11.8 13.5 11.6 11.3 9.6 8.2 9.7 8.1 9.8 20.8 18.6 17.8 24.0 20072007 11.9 11.2 12.6 10.9 10.5 9.0 7.7 8.9 7.4 8.7 17.1 14.6 12.8 13.2 3.3 20082008 7.7 6.8 7.8 5.9 5.2 3.3 1.7 2.1 0.1 0.1 5.0 1.0 -3.3 -8.0 -20.7 -39.1 20092009 8.6 7.8 8.7 7.0 6.4 4.8 3.5 4.0 2.4 2.7 7.4 4.3 1.4 -1.1 -8.2 -13.5 22.9 20102010 8.7 7.9 8.8 7.2 6.7 5.2 4.0 4.5 3.1 3.5 7.7 5.1 2.8 1.1 -3.9 -6.2 16.4 10.2 20112011 7.8 7.0 7.8 6.3 5.7 4.3 3.2 3.5 2.2 2.4 6.0 3.6 1.4 -0.3 -4.5 -6.4 8.1 1.4 -6.8 20122012 8.6 7.9 8.7 7.3 6.8 5.6 4.6 5.0 3.9 4.3 7.8 5.7 4.1 3.0 -0.1 -0.8 12.0 8.7 7.9 24.9

1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

1

2

3

HOW TO USE THIS BOOKANNUALIZED RATES OF RETURNS (%)

one Year

2012

five Years

2008–2012

Ten Years

2003–2012

fifteen Years

1998–2012

Twenty Years

1993–2012

fifty Years

1963–2012

eighty Years

1933–2012

S&p 500 inDex 16.0 1.7 7.1 4.5 8.2 9.8 11.1

fama/fRencH total US maRket inDex 15.1 2.3 7.9 5.0 8.4 10.0 11.2

DimenSional US aDjUSteD maRket 1 inDex 17.1 2.9 8.9 6.1 9.4 11.0 12.2

DimenSional US aDjUSteD maRket 2 inDex 17.9 2.9 9.2 6.7 9.9 11.7 12.9

DimenSional US aDjUSteD maRket valUe inDex 19.3 3.7 10.4 8.2 11.2 13.2 14.2

DimenSional US laRge cap gRoWtH inDex 15.3 5.1 7.8 5.3 8.5 — —

DimenSional US Small cap gRoWtH inDex 15.6 4.8 10.3 8.3 9.9 — —

fama/fRencH US laRge valUe ReSeaRcH inDex 24.9 -0.8 7.8 5.6 8.6 12.4 14.0

fama/fRencH US Small valUe ReSeaRcH inDex 21.9 5.9 12.3 10.9 14.0 16.7 17.6

DimenSional US taRgeteD valUe inDex 20.0 6.3 12.5 10.4 13.3 15.1 15.8

fama/fRencH US Small cap inDex 17.4 5.4 11.4 7.7 10.2 12.4 14.3

DoW joneS US Select Reit inDex 17.1 5.1 11.5 9.0 10.9 — —

DoW joneS-UbS commoDity inDex -1.1 -5.2 4.1 4.0 5.4 — —

DimenSional inteRnational laRge cap gRoWtH inDex 17.9 -1.2 9.9 6.3 7.0 — —

mSci eafe inDex (net DiviDenDS) 17.3 -3.7 8.2 4.4 6.1 — —

DimenSional inteRnational aDjUSteD maRket inDex 17.8 -2.2 11.3 7.6 — — —

DimenSional inteRnational vectoR inDex 18.1 -1.8 12.1 8.4 — — —

fama/fRencH inteRnational valUe inDex 21.2 -1.5 12.8 9.9 11.4 — —

DimenSional inteRnational Small cap gRoWtH inDex 20.1 -0.2 13.2 8.5 7.7 — —

DimenSional inteRnational Small cap inDex 16.8 -1.8 12.4 8.3 7.8 — —

DimenSional inteRnational Small cap valUe inDex 18.2 0.3 14.4 11.1 10.3 — —

mSci emeRging maRketS inDex (gRoSS DiviDenDS) 18.6 -0.6 16.9 9.2 8.8 — —

DimenSional emeRging maRketS aDjUSteD maRket inDex 21.1 1.5 19.9 11.8 — — —

DimenSional emeRging maRketS gRoWtH inDex 19.7 0.8 16.3 8.8 — — —

one-montH US tReaSURy billS 0.1 0.4 1.7 2.5 3.0 5.2 3.6

long-teRm goveRnment bonDS 3.3 9.3 7.5 7.9 8.6 7.5 5.8

long-teRm coRpoRate bonDS 10.7 10.5 7.8 7.9 8.1 7.7 6.2

baRclayS US tipS inDex 7.0 7.0 6.7 7.3 — — —

one-montH ceRtificate of DepoSit 0.2 0.8 2.0 2.9 3.4 — —

baRclayS US aggRegate bonD inDex 4.2 5.9 5.2 6.0 6.3 — —

baRclayS mUnicipal bonD inDex 6.8 5.9 5.1 5.4 6.0 — —

DimenSional US inteRmeDiate vaRiable cReDit inDex 8.8 7.1 5.9 6.4 6.7 — —

DimenSional US inteRmeDiate vaRiable govt/cReDit inDex 5.4 5.9 5.1 5.9 6.1 — —

DimenSional US inteRmeDiate vaRiable matURity govt/cReDit inDex 3.9 5.2 4.7 5.6 5.9 — —

DimenSional global inteRmeDiate vaRiable matURity inDex 4.8 6.2 5.5 6.4 7.1 — —

US conSUmeR pRice inDex 1.7 1.8 2.4 2.4 2.4 4.1 3.7

Dfa fixeD balanceD StRategy inDex 1.1 2.5 2.9 4.0 4.5 — —

Dfa conSeRvative balanceD StRategy inDex 4.7 2.9 4.8 5.1 6.0 — —

Dfa moDeRate balanceD StRategy inDex 8.4 3.0 6.6 6.1 7.3 — —

Dfa noRmal balanceD StRategy inDex 12.1 2.8 8.2 6.9 8.5 — —

Dfa aggReSSive balanceD StRategy inDex 15.8 2.4 9.7 7.6 9.6 — —

Dfa eqUity balanceD StRategy inDex 19.6 1.7 11.0 8.1 10.5 — —

all returns are in US dollars. for balanced strategy weights, see page 58. for a detailed description of returns series, see page 66. past performance is no guarantee of future results. indices are not available for direct investment. their performance does not reflect the expenses associated with the management of an actual portfolio.

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DIMENSIONAL FUND ADVISORS MATRIX BOOK 201310 11

S&P 500 INDEX1926–2012: Total Returns (%)

Data provided by Standard & poor’s index Services group.

2012

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

1926

$3,530

19261926 11.6 19271927 23.9 37.5 19281928 30.1 40.5 43.6 19291929 19.2 21.8 14.7 -8.4 19301930 8.7 8.0 -0.4 -17.1 -24.9 19311931 -2.5 -5.1 -13.5 -27.0 -34.8 -43.3 19321932 -3.3 -5.6 -12.5 -22.7 -26.9 -27.9 -8.2 19331933 2.5 1.2 -3.8 -11.2 -11.9 -7.1 18.9 54.0 19341934 2.0 0.9 -3.5 -9.7 -9.9 -5.7 11.7 23.2 -1.4 19351935 5.9 5.2 1.8 -3.1 -2.2 3.1 19.8 30.9 20.6 47.7 19361936 8.1 7.8 4.9 0.9 2.3 7.7 22.5 31.6 24.9 40.6 33.9 19371937 3.6 3.0 0.0 -3.9 -3.3 0.2 10.2 14.3 6.1 8.7 -6.7 -35.0 19381938 5.5 5.1 2.5 -0.9 0.0 3.6 13.0 16.9 10.7 13.9 4.5 -7.7 31.1 19391939 5.1 4.6 2.3 -0.8 -0.1 3.2 11.2 14.3 8.7 10.9 3.2 -5.3 14.3 -0.4 19401940 4.0 3.5 1.3 -1.6 -1.0 1.8 8.6 11.0 5.9 7.2 0.5 -6.5 5.6 -5.2 -9.8 19411941 3.0 2.4 0.3 -2.4 -1.9 0.5 6.4 8.2 3.5 4.3 -1.6 -7.5 1.0 -7.4 -10.7 -11.6 19421942 3.9 3.5 1.5 -1.0 -0.4 2.0 7.6 9.4 5.3 6.1 1.2 -3.4 4.6 -1.1 -1.4 3.2 20.3 19431943 5.0 4.7 2.9 0.6 1.3 3.7 9.0 10.8 7.2 8.2 4.0 0.4 7.9 3.8 4.9 10.2 23.1 25.9 19441944 5.8 5.5 3.8 1.7 2.5 4.8 9.8 11.5 8.3 9.3 5.7 2.6 9.5 6.3 7.7 12.5 22.0 22.8 19.7 19451945 7.1 6.9 5.4 3.5 4.3 6.6 11.5 13.2 10.4 11.5 8.4 5.9 12.6 10.1 12.0 17.0 25.4 27.2 27.8 36.4 19461946 6.3 6.1 4.7 2.8 3.5 5.6 10.1 11.6 8.8 9.7 6.8 4.4 10.1 7.7 8.9 12.4 17.9 17.3 14.5 12.0 -8.1 19471947 6.3 6.1 4.7 3.0 3.7 5.6 9.8 11.2 8.6 9.4 6.7 4.5 9.6 7.5 8.5 11.4 15.7 14.8 12.2 9.8 -1.4 5.7 19481948 6.3 6.0 4.7 3.1 3.8 5.6 9.6 10.8 8.4 9.1 6.6 4.6 9.2 7.3 8.1 10.6 14.2 13.2 10.9 8.7 0.8 5.6 5.5 19491949 6.8 6.6 5.3 3.8 4.5 6.3 10.1 11.2 9.0 9.7 7.4 5.6 10.0 8.3 9.2 11.5 14.8 14.0 12.1 10.7 5.0 9.8 12.0 18.8 19501950 7.7 7.5 6.4 4.9 5.6 7.4 11.1 12.3 10.2 11.0 8.9 7.3 11.5 10.0 11.0 13.4 16.6 16.1 14.8 13.9 9.9 14.9 18.2 25.1 31.7 19511951 8.3 8.1 7.1 5.7 6.4 8.2 11.7 12.9 11.0 11.7 9.8 8.4 12.4 11.1 12.1 14.3 17.3 16.9 15.9 15.3 12.1 16.7 19.6 24.7 27.8 24.0 19521952 8.6 8.5 7.5 6.2 6.9 8.6 12.0 13.2 11.3 12.1 10.3 9.0 12.8 11.6 12.5 14.6 17.4 17.1 16.1 15.7 13.0 17.0 19.4 23.1 24.6 21.2 18.4 19531953 8.3 8.1 7.1 5.9 6.5 8.2 11.4 12.4 10.7 11.4 9.6 8.3 11.9 10.7 11.5 13.4 15.7 15.3 14.3 13.7 11.2 14.2 15.7 17.9 17.6 13.3 8.3 -1.0 19541954 9.6 9.5 8.6 7.4 8.1 9.7 12.9 14.0 12.4 13.1 11.6 10.4 13.9 12.9 13.9 15.8 18.2 18.0 17.4 17.1 15.1 18.4 20.4 23.1 23.9 22.0 21.4 22.9 52.6 19551955 10.2 10.2 9.3 8.2 8.9 10.5 13.7 14.7 13.2 13.9 12.5 11.4 14.8 13.9 14.9 16.8 19.1 19.0 18.5 18.4 16.7 19.8 21.7 24.2 25.2 23.9 23.9 25.7 41.7 31.5 19561956 10.1 10.1 9.2 8.2 8.8 10.4 13.4 14.4 12.9 13.6 12.2 11.2 14.4 13.5 14.4 16.1 18.2 18.1 17.5 17.3 15.7 18.4 19.9 21.9 22.3 20.8 20.2 20.6 28.8 18.4 6.6 19571957 9.4 9.3 8.5 7.4 8.0 9.5 12.3 13.2 11.8 12.4 11.0 10.0 13.0 12.1 12.8 14.3 16.2 15.9 15.2 14.9 13.2 15.4 16.4 17.7 17.6 15.7 14.4 13.6 17.5 7.7 -2.5 -10.8 19581958 10.3 10.2 9.5 8.5 9.1 10.6 13.3 14.3 12.9 13.6 12.3 11.4 14.3 13.5 14.3 15.8 17.6 17.5 16.9 16.7 15.3 17.5 18.7 20.1 20.2 18.8 18.1 18.1 22.3 15.7 10.9 13.1 43.4 19591959 10.3 10.3 9.5 8.6 9.2 10.6 13.3 14.2 12.9 13.5 12.3 11.4 14.2 13.4 14.1 15.6 17.3 17.1 16.6 16.4 15.1 17.1 18.1 19.3 19.4 18.1 17.3 17.2 20.5 15.0 11.1 12.7 26.7 12.0 19601960 10.0 10.0 9.3 8.3 8.9 10.3 12.8 13.7 12.4 13.0 11.8 10.9 13.5 12.8 13.5 14.8 16.3 16.1 15.6 15.3 14.0 15.8 16.6 17.6 17.5 16.2 15.3 14.9 17.4 12.4 8.9 9.5 17.3 6.1 0.5 19611961 10.5 10.4 9.7 8.8 9.4 10.8 13.3 14.1 12.9 13.4 12.3 11.5 14.1 13.4 14.0 15.3 16.9 16.7 16.2 16.0 14.8 16.5 17.3 18.3 18.3 17.1 16.4 16.2 18.6 14.4 11.7 12.8 19.6 12.6 12.9 26.9 19621962 9.9 9.9 9.2 8.3 8.8 10.1 12.5 13.2 12.1 12.6 11.4 10.7 13.0 12.3 12.9 14.1 15.5 15.2 14.7 14.4 13.3 14.8 15.4 16.1 15.9 14.7 13.9 13.4 15.2 11.2 8.5 8.9 13.3 6.8 5.2 7.6 -8.7 19631963 10.2 10.2 9.5 8.7 9.2 10.5 12.8 13.5 12.4 12.9 11.8 11.1 13.4 12.7 13.3 14.5 15.8 15.6 15.1 14.9 13.8 15.2 15.8 16.6 16.4 15.3 14.6 14.3 15.9 12.4 10.2 10.8 14.8 9.9 9.3 12.4 5.9 22.8 19641964 10.4 10.4 9.7 8.9 9.4 10.6 12.9 13.6 12.5 13.0 12.0 11.3 13.5 12.9 13.5 14.5 15.8 15.6 15.2 14.9 13.9 15.3 15.9 16.6 16.4 15.4 14.7 14.4 16.0 12.8 10.9 11.5 15.1 10.9 10.7 13.5 9.3 19.6 16.5 19651965 10.4 10.4 9.8 9.0 9.5 10.7 12.9 13.6 12.5 13.0 12.0 11.3 13.5 12.9 13.4 14.5 15.7 15.5 15.0 14.8 13.8 15.1 15.7 16.3 16.2 15.2 14.6 14.3 15.7 12.8 11.1 11.6 14.7 11.1 11.0 13.2 10.1 17.2 14.5 12.5 19661966 9.9 9.8 9.2 8.4 8.9 10.1 12.2 12.8 11.8 12.2 11.2 10.5 12.6 12.0 12.4 13.4 14.5 14.3 13.8 13.6 12.6 13.7 14.2 14.7 14.4 13.4 12.7 12.4 13.4 10.7 9.0 9.2 11.7 8.2 7.7 9.0 5.7 9.7 5.6 0.6 -10.0 19671967 10.2 10.2 9.6 8.8 9.3 10.4 12.5 13.1 12.1 12.5 11.6 10.9 12.9 12.4 12.8 13.8 14.9 14.7 14.2 14.0 13.1 14.2 14.6 15.1 14.9 14.0 13.4 13.1 14.2 11.7 10.1 10.5 12.9 9.9 9.6 11.0 8.6 12.4 9.9 7.8 5.6 24.01968 10.2 10.2 9.6 8.9 9.3 10.4 12.4 13.1 12.1 12.5 11.6 10.9 12.9 12.3 12.8 13.7 14.7 14.5 14.1 13.9 13.0 14.0 14.5 14.9 14.7 13.8 13.3 13.0 14.0 11.6 10.2 10.5 12.7 10.0 9.8 11.0 8.9 12.2 10.2 8.6 7.4 17.41969 9.8 9.7 9.1 8.4 8.9 9.9 11.8 12.4 11.4 11.8 10.9 10.3 12.1 11.6 12.0 12.8 13.8 13.6 13.1 12.9 12.0 13.0 13.3 13.7 13.4 12.5 11.9 11.6 12.4 10.1 8.8 8.9 10.8 8.2 7.8 8.7 6.6 9.0 6.8 5.0 3.2 8.01970 9.6 9.6 9.0 8.3 8.7 9.7 11.6 12.2 11.2 11.6 10.7 10.1 11.9 11.3 11.7 12.5 13.5 13.2 12.8 12.5 11.7 12.6 12.9 13.2 13.0 12.1 11.5 11.1 11.9 9.8 8.4 8.6 10.2 7.8 7.5 8.2 6.3 8.3 6.4 4.8 3.4 7.01971 9.7 9.7 9.1 8.4 8.9 9.9 11.7 12.2 11.3 11.7 10.8 10.2 12.0 11.4 11.8 12.6 13.5 13.3 12.8 12.6 11.8 12.6 12.9 13.3 13.0 12.2 11.6 11.3 12.0 10.0 8.8 8.9 10.5 8.3 8.0 8.7 7.1 9.0 7.4 6.1 5.1 8.41972 9.9 9.9 9.3 8.7 9.1 10.1 11.9 12.4 11.5 11.9 11.0 10.5 12.1 11.6 12.0 12.8 13.7 13.5 13.0 12.8 12.0 12.9 13.2 13.5 13.3 12.5 12.0 11.7 12.4 10.5 9.4 9.5 11.1 9.0 8.8 9.6 8.1 9.9 8.6 7.7 7.0 10.11973 9.3 9.3 8.7 8.1 8.5 9.4 11.1 11.7 10.8 11.1 10.3 9.7 11.3 10.8 11.1 11.8 12.7 12.4 12.0 11.7 10.9 11.7 12.0 12.2 12.0 11.2 10.6 10.3 10.9 9.0 7.9 7.9 9.2 7.3 7.0 7.5 6.0 7.4 6.0 4.9 4.0 6.21974 8.5 8.4 7.8 7.2 7.5 8.4 10.1 10.6 9.7 10.0 9.1 8.5 10.1 9.5 9.8 10.5 11.2 10.9 10.5 10.2 9.4 10.1 10.2 10.4 10.1 9.3 8.7 8.2 8.7 6.9 5.7 5.7 6.7 4.8 4.3 4.6 3.1 4.1 2.5 1.2 0.1 1.41975 9.0 8.9 8.4 7.7 8.1 9.0 10.6 11.1 10.3 10.6 9.8 9.2 10.7 10.2 10.5 11.1 11.9 11.7 11.2 11.0 10.2 10.9 11.1 11.3 11.0 10.3 9.7 9.4 9.9 8.2 7.1 7.1 8.2 6.5 6.1 6.5 5.2 6.3 5.1 4.1 3.3 4.91976 9.2 9.2 8.7 8.1 8.4 9.3 10.9 11.4 10.6 10.9 10.1 9.5 11.0 10.5 10.8 11.5 12.2 12.0 11.6 11.4 10.6 11.3 11.5 11.7 11.5 10.8 10.3 9.9 10.4 8.8 7.8 7.9 9.0 7.4 7.1 7.5 6.3 7.5 6.4 5.6 5.0 6.61977 8.9 8.8 8.3 7.7 8.1 8.9 10.5 10.9 10.1 10.4 9.6 9.1 10.5 10.0 10.3 10.9 11.6 11.4 11.0 10.7 10.0 10.7 10.8 11.0 10.7 10.0 9.5 9.2 9.6 8.1 7.1 7.1 8.1 6.5 6.2 6.6 5.4 6.5 5.4 4.6 3.9 5.31978 8.9 8.8 8.3 7.7 8.1 8.9 10.4 10.8 10.0 10.3 9.6 9.0 10.4 10.0 10.2 10.8 11.5 11.3 10.9 10.6 9.9 10.5 10.7 10.9 10.6 9.9 9.4 9.1 9.5 8.0 7.1 7.1 8.1 6.5 6.3 6.6 5.5 6.5 5.5 4.7 4.1 5.41979 9.0 9.0 8.5 7.9 8.2 9.1 10.6 11.0 10.2 10.5 9.8 9.2 10.6 10.2 10.4 11.0 11.7 11.4 11.1 10.8 10.2 10.8 10.9 11.1 10.9 10.2 9.7 9.4 9.8 8.4 7.5 7.6 8.5 7.1 6.8 7.2 6.2 7.1 6.2 5.6 5.1 6.41980 9.4 9.4 8.9 8.3 8.7 9.5 11.0 11.4 10.6 10.9 10.2 9.7 11.1 10.6 10.9 11.5 12.2 12.0 11.6 11.4 10.7 11.3 11.5 11.7 11.5 10.9 10.4 10.2 10.6 9.2 8.4 8.5 9.4 8.1 7.9 8.3 7.4 8.4 7.6 7.1 6.7 8.01981 9.1 9.1 8.6 8.1 8.4 9.2 10.6 11.0 10.3 10.6 9.9 9.4 10.7 10.2 10.5 11.1 11.7 11.5 11.1 10.9 10.3 10.8 11.0 11.2 10.9 10.3 9.9 9.6 10.0 8.7 7.9 7.9 8.8 7.5 7.3 7.6 6.8 7.7 6.9 6.3 6.0 7.11982 9.3 9.3 8.8 8.3 8.6 9.4 10.8 11.2 10.5 10.8 10.1 9.6 10.9 10.5 10.8 11.3 11.9 11.7 11.4 11.2 10.6 11.1 11.3 11.5 11.2 10.7 10.2 10.0 10.4 9.1 8.4 8.4 9.3 8.1 7.9 8.2 7.4 8.3 7.6 7.1 6.8 8.01983 9.6 9.5 9.1 8.5 8.9 9.6 11.0 11.5 10.7 11.0 10.3 9.9 11.1 10.7 11.0 11.5 12.2 12.0 11.6 11.4 10.9 11.4 11.6 11.8 11.6 11.0 10.6 10.4 10.8 9.6 8.8 8.9 9.8 8.6 8.5 8.8 8.1 8.9 8.3 7.9 7.6 8.81984 9.5 9.5 9.0 8.5 8.8 9.6 10.9 11.4 10.6 10.9 10.3 9.8 11.0 10.6 10.9 11.4 12.0 11.8 11.5 11.3 10.7 11.3 11.4 11.6 11.4 10.9 10.5 10.2 10.6 9.4 8.8 8.8 9.6 8.5 8.4 8.7 8.0 8.8 8.2 7.8 7.6 8.61985 9.8 9.8 9.4 8.9 9.2 9.9 11.3 11.7 11.0 11.3 10.7 10.2 11.4 11.1 11.3 11.8 12.4 12.3 12.0 11.8 11.2 11.8 11.9 12.1 11.9 11.4 11.1 10.8 11.2 10.1 9.5 9.6 10.4 9.3 9.2 9.6 8.9 9.7 9.2 8.8 8.7 9.81986 10.0 10.0 9.5 9.0 9.4 10.1 11.4 11.8 11.2 11.4 10.8 10.4 11.6 11.2 11.5 12.0 12.6 12.4 12.1 11.9 11.4 11.9 12.1 12.3 12.1 11.6 11.3 11.1 11.5 10.4 9.7 9.8 10.6 9.6 9.5 9.9 9.3 10.1 9.6 9.3 9.1 10.21987 9.9 9.9 9.5 9.0 9.3 10.0 11.3 11.7 11.0 11.3 10.7 10.3 11.5 11.1 11.3 11.8 12.4 12.2 11.9 11.8 11.2 11.8 11.9 12.1 11.9 11.4 11.1 10.9 11.3 10.2 9.6 9.7 10.5 9.5 9.4 9.7 9.1 9.9 9.4 9.1 8.9 9.91988 10.0 10.0 9.6 9.1 9.4 10.1 11.4 11.8 11.2 11.4 10.8 10.4 11.6 11.2 11.4 11.9 12.5 12.3 12.1 11.9 11.4 11.9 12.0 12.2 12.0 11.6 11.2 11.1 11.4 10.4 9.8 9.9 10.7 9.7 9.6 10.0 9.4 10.1 9.7 9.4 9.3 10.21989 10.3 10.3 9.9 9.4 9.7 10.5 11.7 12.1 11.5 11.7 11.2 10.8 11.9 11.6 11.8 12.3 12.9 12.7 12.4 12.3 11.8 12.3 12.5 12.6 12.5 12.0 11.7 11.6 11.9 10.9 10.4 10.5 11.3 10.3 10.3 10.6 10.1 10.9 10.4 10.2 10.1 11.11990 10.1 10.1 9.7 9.2 9.5 10.2 11.5 11.8 11.2 11.5 10.9 10.5 11.6 11.3 11.5 12.0 12.5 12.4 12.1 11.9 11.4 11.9 12.1 12.2 12.1 11.6 11.3 11.1 11.5 10.5 10.0 10.1 10.8 9.9 9.8 10.2 9.6 10.3 9.9 9.7 9.6 10.51991 10.4 10.4 10.0 9.5 9.8 10.5 11.8 12.1 11.5 11.8 11.2 10.8 11.9 11.6 11.8 12.3 12.9 12.7 12.4 12.3 11.8 12.3 12.5 12.6 12.5 12.1 11.8 11.6 12.0 11.0 10.5 10.6 11.3 10.5 10.4 10.8 10.3 11.0 10.6 10.4 10.3 11.21992 10.3 10.3 9.9 9.5 9.8 10.5 11.7 12.1 11.5 11.7 11.1 10.8 11.9 11.5 11.8 12.2 12.7 12.6 12.3 12.2 11.7 12.2 12.4 12.5 12.4 11.9 11.7 11.5 11.8 10.9 10.4 10.5 11.2 10.4 10.3 10.7 10.2 10.9 10.5 10.3 10.2 11.11993 10.3 10.3 9.9 9.5 9.8 10.5 11.7 12.0 11.4 11.7 11.1 10.8 11.8 11.5 11.7 12.2 12.7 12.6 12.3 12.2 11.7 12.2 12.3 12.5 12.3 11.9 11.6 11.5 11.8 10.9 10.4 10.5 11.2 10.4 10.3 10.6 10.2 10.8 10.5 10.3 10.2 11.01994 10.2 10.2 9.8 9.4 9.7 10.3 11.5 11.8 11.3 11.5 10.9 10.6 11.6 11.3 11.5 12.0 12.5 12.3 12.1 11.9 11.5 11.9 12.1 12.2 12.1 11.7 11.4 11.2 11.5 10.7 10.2 10.3 10.9 10.1 10.1 10.4 9.9 10.5 10.2 10.0 9.9 10.71995 10.5 10.5 10.2 9.7 10.0 10.7 11.9 12.2 11.6 11.9 11.3 11.0 12.0 11.7 11.9 12.4 12.9 12.8 12.5 12.4 11.9 12.4 12.5 12.7 12.6 12.2 11.9 11.8 12.1 11.3 10.8 10.9 11.5 10.8 10.7 11.1 10.6 11.3 10.9 10.8 10.7 11.51996 10.7 10.7 10.4 9.9 10.2 10.9 12.0 12.4 11.8 12.0 11.5 11.2 12.2 11.9 12.1 12.6 13.1 12.9 12.7 12.6 12.1 12.6 12.7 12.9 12.8 12.4 12.1 12.0 12.3 11.5 11.1 11.2 11.8 11.1 11.1 11.4 11.0 11.6 11.3 11.1 11.1 11.91997 11.0 11.0 10.7 10.2 10.5 11.2 12.3 12.7 12.1 12.3 11.9 11.5 12.5 12.2 12.5 12.9 13.4 13.3 13.1 12.9 12.5 13.0 13.1 13.3 13.2 12.8 12.6 12.4 12.8 12.0 11.6 11.7 12.3 11.6 11.6 11.9 11.5 12.2 11.9 11.7 11.7 12.51998 11.2 11.2 10.9 10.5 10.8 11.4 12.5 12.9 12.4 12.6 12.1 11.8 12.8 12.5 12.7 13.2 13.6 13.5 13.3 13.2 12.8 13.3 13.4 13.6 13.5 13.1 12.9 12.8 13.1 12.3 11.9 12.1 12.7 12.0 12.0 12.3 12.0 12.6 12.3 12.2 12.2 13.01999 11.3 11.3 11.0 10.6 10.9 11.5 12.7 13.0 12.5 12.7 12.2 11.9 12.9 12.6 12.9 13.3 13.8 13.7 13.5 13.3 13.0 13.4 13.5 13.7 13.6 13.3 13.1 12.9 13.3 12.5 12.1 12.3 12.9 12.2 12.2 12.5 12.2 12.8 12.5 12.4 12.4 13.22000 11.0 11.0 10.7 10.3 10.6 11.2 12.3 12.6 12.1 12.3 11.9 11.6 12.5 12.2 12.5 12.9 13.3 13.2 13.0 12.9 12.5 12.9 13.1 13.2 13.1 12.8 12.6 12.4 12.7 12.0 11.6 11.7 12.3 11.7 11.6 11.9 11.6 12.2 11.9 11.8 11.8 12.52001 10.7 10.7 10.4 10.0 10.3 10.9 11.9 12.2 11.7 11.9 11.5 11.2 12.1 11.8 12.0 12.4 12.9 12.7 12.5 12.4 12.0 12.4 12.6 12.7 12.6 12.2 12.0 11.9 12.2 11.4 11.0 11.1 11.7 11.0 11.0 11.3 10.9 11.5 11.2 11.1 11.0 11.72002 10.2 10.2 9.9 9.5 9.7 10.3 11.4 11.7 11.1 11.3 10.9 10.6 11.5 11.2 11.4 11.8 12.2 12.1 11.8 11.7 11.3 11.7 11.8 11.9 11.8 11.4 11.2 11.1 11.3 10.6 10.2 10.3 10.8 10.1 10.1 10.3 10.0 10.5 10.2 10.0 10.0 10.62003 10.4 10.4 10.1 9.7 10.0 10.5 11.6 11.9 11.4 11.6 11.1 10.8 11.7 11.4 11.6 12.0 12.4 12.3 12.1 12.0 11.6 12.0 12.1 12.2 12.1 11.7 11.5 11.4 11.7 10.9 10.6 10.6 11.2 10.5 10.5 10.7 10.4 10.9 10.6 10.5 10.4 11.02004 10.4 10.4 10.1 9.7 10.0 10.6 11.6 11.9 11.4 11.6 11.1 10.8 11.7 11.4 11.6 12.0 12.4 12.3 12.1 11.9 11.6 11.9 12.1 12.2 12.1 11.7 11.5 11.4 11.6 10.9 10.6 10.6 11.2 10.5 10.5 10.7 10.4 10.9 10.6 10.5 10.4 11.02005 10.4 10.3 10.0 9.7 9.9 10.5 11.5 11.8 11.3 11.5 11.0 10.7 11.6 11.3 11.5 11.9 12.3 12.2 12.0 11.8 11.5 11.8 11.9 12.0 11.9 11.6 11.4 11.3 11.5 10.8 10.4 10.5 11.0 10.4 10.4 10.6 10.3 10.8 10.5 10.3 10.3 10.92006 10.4 10.4 10.1 9.7 10.0 10.5 11.5 11.8 11.3 11.5 11.1 10.8 11.6 11.4 11.6 11.9 12.3 12.2 12.0 11.9 11.5 11.9 12.0 12.1 12.0 11.7 11.5 11.3 11.6 10.9 10.5 10.6 11.1 10.5 10.5 10.7 10.4 10.9 10.6 10.5 10.4 11.02007 10.4 10.3 10.0 9.7 9.9 10.5 11.5 11.7 11.3 11.4 11.0 10.7 11.6 11.3 11.5 11.8 12.2 12.1 11.9 11.8 11.4 11.8 11.9 12.0 11.9 11.6 11.4 11.2 11.5 10.8 10.4 10.5 11.0 10.4 10.4 10.6 10.3 10.7 10.5 10.3 10.3 10.82008 9.6 9.6 9.3 8.9 9.2 9.7 10.6 10.9 10.4 10.6 10.1 9.8 10.7 10.4 10.6 10.9 11.3 11.1 10.9 10.8 10.4 10.8 10.8 10.9 10.8 10.5 10.2 10.1 10.3 9.7 9.3 9.3 9.8 9.2 9.1 9.3 9.0 9.4 9.1 9.0 8.9 9.42009 9.8 9.8 9.5 9.1 9.4 9.9 10.8 11.1 10.6 10.8 10.4 10.1 10.9 10.6 10.8 11.1 11.5 11.4 11.1 11.0 10.7 11.0 11.1 11.2 11.0 10.7 10.5 10.4 10.6 9.9 9.6 9.6 10.1 9.5 9.5 9.6 9.3 9.7 9.5 9.3 9.2 9.72010 9.9 9.8 9.6 9.2 9.4 9.9 10.9 11.1 10.7 10.8 10.4 10.1 10.9 10.7 10.8 11.2 11.5 11.4 11.2 11.1 10.7 11.0 11.1 11.2 11.1 10.8 10.6 10.5 10.7 10.0 9.7 9.7 10.2 9.6 9.6 9.8 9.4 9.8 9.6 9.4 9.4 9.92011 9.8 9.8 9.5 9.1 9.3 9.8 10.8 11.0 10.6 10.7 10.3 10.0 10.8 10.5 10.7 11.0 11.4 11.3 11.1 10.9 10.6 10.9 11.0 11.1 11.0 10.6 10.4 10.3 10.5 9.9 9.5 9.6 10.0 9.5 9.4 9.6 9.3 9.7 9.4 9.3 9.2 9.72012 9.8 9.8 9.5 9.2 9.4 9.9 10.8 11.1 10.6 10.8 10.4 10.1 10.9 10.6 10.8 11.1 11.5 11.3 11.1 11.0 10.7 11.0 11.1 11.2 11.0 10.7 10.5 10.4 10.6 10.0 9.6 9.7 10.1 9.6 9.5 9.7 9.4 9.8 9.5 9.4 9.3 9.8

1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967

19681968 11.1 19691969 0.8 -8.5 19701970 1.9 -2.4 4.0 19711971 4.9 2.9 9.1 14.3 19721972 7.5 6.7 12.3 16.6 19.0 19731973 3.5 2.0 4.8 5.1 0.8 -14.7 19741974 -1.5 -3.4 -2.3 -3.9 -9.3 -20.8 -26.5 19751975 2.7 1.6 3.3 3.2 0.6 -4.9 0.5 37.2 19761976 4.9 4.1 6.1 6.4 4.9 1.6 7.7 30.4 23.8 19771977 3.6 2.8 4.3 4.3 2.8 -0.2 3.8 16.4 7.2 -7.2 19781978 3.9 3.2 4.6 4.6 3.3 0.9 4.3 13.9 7.0 -0.5 6.6 19791979 5.0 4.5 5.9 6.1 5.1 3.2 6.6 14.8 9.8 5.4 12.3 18.4 19801980 6.9 6.6 8.0 8.4 7.8 6.5 9.9 17.5 13.9 11.6 18.7 25.2 32.4 19811981 6.0 5.6 6.9 7.2 6.5 5.2 7.9 14.0 10.6 8.1 12.3 14.2 12.2 -4.9 19821982 7.0 6.7 7.9 8.3 7.7 6.7 9.4 14.9 12.1 10.2 14.0 16.0 15.2 7.4 21.4 19831983 7.9 7.7 8.9 9.3 8.9 8.0 10.6 15.7 13.3 11.9 15.4 17.3 17.0 12.3 22.0 22.5 19841984 7.8 7.6 8.7 9.1 8.7 7.9 10.2 14.8 12.5 11.2 14.1 15.4 14.8 10.7 16.5 14.1 6.3 19851985 9.0 8.9 10.1 10.5 10.2 9.6 11.9 16.2 14.3 13.3 16.2 17.6 17.5 14.7 20.2 19.8 18.5 32.2 19861986 9.5 9.4 10.6 11.0 10.8 10.2 12.4 16.4 14.7 13.8 16.4 17.7 17.6 15.3 19.9 19.5 18.5 25.1 18.5 19871987 9.3 9.2 10.3 10.6 10.4 9.9 11.9 15.5 13.9 13.0 15.3 16.3 16.0 13.8 17.3 16.5 15.0 18.1 11.7 5.2 19881988 9.6 9.5 10.6 11.0 10.8 10.3 12.2 15.6 14.1 13.3 15.4 16.3 16.1 14.2 17.2 16.5 15.4 17.8 13.3 10.9 16.8 19891989 10.5 10.5 11.6 12.0 11.8 11.4 13.3 16.6 15.3 14.6 16.7 17.6 17.5 16.0 18.9 18.6 17.9 20.4 17.6 17.4 23.9 31.5 19901990 9.9 9.8 10.8 11.2 11.0 10.6 12.3 15.3 13.9 13.3 15.0 15.7 15.5 13.9 16.2 15.6 14.7 16.1 13.2 11.9 14.2 12.9 -3.1 19911991 10.7 10.7 11.6 12.0 11.9 11.5 13.2 16.1 14.9 14.3 16.1 16.8 16.7 15.3 17.6 17.2 16.5 18.1 15.9 15.4 18.0 18.5 12.4 30.5 19921992 10.6 10.5 11.5 11.8 11.7 11.3 12.9 15.6 14.5 13.9 15.5 16.1 16.0 14.7 16.7 16.2 15.5 16.7 14.7 14.0 15.9 15.7 10.8 18.5 7.6 19931993 10.5 10.5 11.4 11.7 11.6 11.3 12.8 15.3 14.2 13.7 15.1 15.7 15.5 14.3 16.1 15.6 14.9 16.0 14.1 13.5 14.9 14.5 10.6 15.6 8.8 10.1 19941994 10.2 10.2 11.0 11.3 11.1 10.8 12.2 14.6 13.5 13.0 14.3 14.8 14.5 13.3 14.9 14.4 13.6 14.4 12.6 11.9 12.8 12.2 8.7 11.9 6.3 5.6 1.3 19951995 11.1 11.1 11.9 12.2 12.1 11.8 13.2 15.6 14.6 14.1 15.4 16.0 15.8 14.8 16.4 16.0 15.5 16.3 14.9 14.5 15.7 15.5 13.1 16.6 13.4 15.3 18.1 37.6 19961996 11.5 11.5 12.3 12.6 12.6 12.3 13.6 15.9 15.0 14.6 15.8 16.4 16.2 15.3 16.8 16.5 16.0 16.9 15.6 15.3 16.5 16.4 14.4 17.6 15.2 17.2 19.7 30.1 23.0 19971997 12.1 12.2 13.0 13.3 13.3 13.1 14.4 16.6 15.8 15.4 16.6 17.2 17.1 16.3 17.8 17.5 17.2 18.1 17.0 16.8 18.1 18.2 16.6 19.8 18.1 20.3 23.0 31.2 28.1 33.4 19981998 12.6 12.7 13.5 13.8 13.8 13.6 14.9 17.1 16.3 16.0 17.2 17.7 17.7 16.9 18.4 18.2 17.9 18.8 17.8 17.8 19.0 19.2 17.9 20.8 19.5 21.6 24.1 30.5 28.2 30.9 28.6 19991999 12.9 12.9 13.7 14.1 14.1 13.9 15.2 17.2 16.5 16.2 17.4 17.9 17.9 17.2 18.5 18.4 18.1 18.9 18.0 18.0 19.1 19.4 18.2 20.9 19.7 21.5 23.6 28.6 26.4 27.6 24.8 21.0 20002000 12.1 12.2 12.9 13.2 13.2 13.0 14.2 16.1 15.3 15.0 16.1 16.5 16.4 15.7 16.9 16.6 16.3 17.0 16.0 15.8 16.7 16.7 15.4 17.5 16.1 17.2 18.3 21.3 18.3 17.2 12.3 4.9 -9.1 20012001 11.3 11.4 12.0 12.3 12.2 12.0 13.1 14.9 14.1 13.8 14.7 15.1 15.0 14.2 15.2 14.9 14.5 15.0 14.0 13.7 14.4 14.2 12.9 14.4 12.9 13.5 14.0 15.9 12.7 10.7 5.7 -1.0 -10.5 -11.9 20022002 10.2 10.2 10.8 11.0 10.9 10.7 11.7 13.3 12.5 12.1 13.0 13.3 13.0 12.2 13.1 12.7 12.2 12.6 11.5 11.1 11.5 11.1 9.7 10.8 9.2 9.3 9.3 10.3 6.9 4.4 -0.6 -6.8 -14.6 -17.2 -22.1 20032003 10.7 10.7 11.3 11.5 11.4 11.2 12.2 13.8 13.1 12.7 13.5 13.8 13.6 12.9 13.8 13.4 13.0 13.4 12.4 12.0 12.5 12.2 10.9 12.1 10.7 11.0 11.1 12.2 9.4 7.6 3.8 -0.6 -5.3 -4.1 0.1 28.7 20042004 10.7 10.7 11.3 11.5 11.4 11.2 12.1 13.7 13.0 12.6 13.4 13.7 13.5 12.8 13.7 13.3 12.9 13.2 12.3 12.0 12.4 12.1 10.9 12.0 10.7 11.0 11.0 12.1 9.5 8.0 4.8 1.3 -2.3 -0.5 3.6 19.5 10.9 20052005 10.5 10.5 11.1 11.3 11.2 11.0 11.9 13.4 12.7 12.4 13.1 13.4 13.2 12.5 13.3 12.9 12.5 12.8 11.9 11.6 12.0 11.7 10.5 11.5 10.3 10.5 10.5 11.4 9.1 7.6 4.8 1.8 -1.1 0.5 3.9 14.4 7.9 4.9 20062006 10.7 10.7 11.2 11.4 11.4 11.1 12.0 13.5 12.8 12.5 13.2 13.5 13.3 12.6 13.4 13.0 12.7 13.0 12.1 11.8 12.2 11.9 10.9 11.8 10.6 10.9 10.9 11.8 9.7 8.4 6.0 3.4 1.1 2.9 6.2 14.7 10.4 10.2 15.8 20072007 10.5 10.5 11.1 11.3 11.2 11.0 11.8 13.3 12.6 12.2 13.0 13.2 13.0 12.3 13.1 12.7 12.3 12.6 11.8 11.5 11.8 11.6 10.5 11.4 10.3 10.5 10.5 11.3 9.3 8.2 5.9 3.7 1.7 3.3 6.1 12.8 9.2 8.6 10.5 5.5 20082008 9.0 9.0 9.5 9.6 9.5 9.2 10.0 11.3 10.6 10.2 10.8 11.0 10.7 10.0 10.6 10.2 9.8 9.9 9.0 8.6 8.8 8.4 7.3 7.9 6.7 6.7 6.5 6.8 4.8 3.4 1.0 -1.4 -3.6 -2.9 -1.5 2.4 -2.2 -5.2 -8.4 -18.5 -37.0 20092009 9.4 9.4 9.9 10.0 9.9 9.7 10.4 11.7 11.1 10.7 11.3 11.5 11.2 10.6 11.2 10.8 10.4 10.5 9.7 9.4 9.6 9.2 8.2 8.8 7.7 7.8 7.6 8.0 6.2 5.0 2.9 0.9 -0.9 0.0 1.6 5.5 2.1 0.4 -0.7 -5.6 -10.7 26.5 20102010 9.5 9.5 10.0 10.1 10.0 9.8 10.6 11.8 11.2 10.8 11.4 11.6 11.4 10.7 11.3 11.0 10.5 10.7 9.9 9.6 9.8 9.5 8.5 9.1 8.1 8.1 8.0 8.5 6.8 5.7 3.8 2.0 0.4 1.4 3.0 6.7 3.9 2.7 2.3 -0.8 -2.9 20.6 15.1 20112011 9.4 9.3 9.8 9.9 9.8 9.6 10.3 11.5 10.9 10.6 11.1 11.3 11.1 10.4 11.0 10.6 10.2 10.4 9.6 9.3 9.5 9.1 8.2 8.8 7.8 7.8 7.7 8.1 6.5 5.5 3.7 2.0 0.6 1.5 2.9 6.2 3.6 2.6 2.3 -0.2 -1.6 14.1 8.4 2.1 20122012 9.5 9.5 9.9 10.1 10.0 9.8 10.5 11.7 11.0 10.7 11.3 11.4 11.2 10.6 11.1 10.8 10.4 10.6 9.9 9.5 9.7 9.4 8.6 9.1 8.2 8.2 8.1 8.5 7.0 6.1 4.5 2.9 1.7 2.6 4.0 7.1 4.9 4.2 4.1 2.3 1.7 14.6 10.9 8.8 16.0

1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

Page 8: Dfa matrix book us_2013 - copy

DIMENSIONAL FUND ADVISORS MATRIX BOOK 201312 13

FAmA/FRENCH TOTAL US mARKET INDEX

1927–2012: Total Returns (%)

Data provided by fama/french.

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

1927

$2,996

2012

19271927 34.0 19281928 36.0 38.1 19291929 17.1 9.5 -13.2 19301930 3.6 -4.9 -21.1 -28.3 19311931 -8.3 -16.6 -29.5 -36.5 -43.7 19321932 -8.3 -15.0 -24.8 -28.3 -28.2 -8.5 19331933 -1.1 -5.9 -12.9 -12.8 -7.0 19.6 56.4 19341934 -0.4 -4.5 -10.2 -9.6 -4.2 14.4 27.9 4.6 19351935 3.8 0.6 -3.9 -2.2 4.0 21.3 33.2 22.9 44.5 19361936 6.4 3.7 0.1 2.1 8.3 23.5 33.1 26.1 38.4 32.6 19371937 1.8 -1.0 -4.5 -3.4 0.8 11.1 15.5 7.0 7.8 -6.8 -34.5 19381938 3.8 1.4 -1.7 -0.4 3.8 13.3 17.4 10.9 12.5 3.6 -8.5 27.9 19391939 3.7 1.5 -1.3 0.0 3.7 12.0 15.3 9.5 10.6 3.4 -4.8 14.8 3.0 19401940 2.9 0.8 -1.8 -0.7 2.6 9.7 12.2 7.0 7.4 1.2 -5.4 7.0 -2.1 -6.9 19411941 2.0 0.0 -2.4 -1.5 1.4 7.5 9.5 4.7 4.7 -0.7 -6.3 2.4 -4.9 -8.5 -10.1 19421942 2.8 1.0 -1.2 -0.2 2.5 8.3 10.1 5.9 6.1 1.5 -2.9 5.0 0.0 -1.0 2.1 16.0 19431943 4.2 2.5 0.5 1.6 4.3 9.8 11.7 8.0 8.4 4.5 1.0 8.6 5.1 5.7 10.3 22.1 28.6 19441944 5.1 3.6 1.7 2.8 5.5 10.7 12.5 9.1 9.6 6.3 3.4 10.4 7.7 8.7 13.0 21.9 25.0 21.4 19451945 6.6 5.2 3.6 4.7 7.4 12.5 14.3 11.3 11.9 9.1 6.8 13.5 11.6 13.1 17.6 25.8 29.2 29.5 38.0 19461946 5.9 4.6 3.0 4.1 6.5 11.1 12.7 9.9 10.3 7.7 5.5 11.2 9.3 10.2 13.3 18.7 19.4 16.5 14.1 -5.7 19471947 5.8 4.6 3.1 4.0 6.3 10.7 12.1 9.4 9.8 7.3 5.3 10.4 8.6 9.4 11.9 16.1 16.1 13.2 10.5 -1.1 3.7 19481948 5.6 4.5 3.0 3.9 6.1 10.1 11.4 8.9 9.3 6.9 5.0 9.6 8.0 8.5 10.6 14.0 13.6 10.9 8.4 0.0 2.9 2.1 19491949 6.2 5.1 3.8 4.7 6.8 10.7 11.9 9.6 10.0 7.8 6.1 10.5 9.0 9.7 11.7 14.8 14.6 12.4 10.7 4.7 8.4 10.9 20.3 19501950 7.1 6.1 4.8 5.8 7.8 11.6 12.8 10.7 11.1 9.2 7.7 11.9 10.6 11.3 13.3 16.3 16.3 14.7 13.6 9.3 13.3 16.8 24.8 29.5 19511951 7.6 6.7 5.5 6.4 8.4 12.0 13.2 11.2 11.6 9.8 8.5 12.5 11.3 12.1 14.0 16.7 16.8 15.4 14.6 11.1 14.8 17.7 23.4 25.0 20.6 19521952 7.9 6.9 5.8 6.7 8.7 12.1 13.3 11.3 11.7 10.1 8.8 12.5 11.5 12.2 13.9 16.4 16.5 15.2 14.4 11.4 14.6 16.9 20.9 21.0 17.0 13.5 19531953 7.6 6.7 5.6 6.4 8.3 11.6 12.6 10.8 11.1 9.5 8.3 11.7 10.7 11.3 12.9 15.0 14.9 13.7 12.8 10.0 12.5 14.0 16.5 15.6 11.3 6.9 0.7 19541954 8.9 8.0 7.0 7.9 9.8 13.0 14.1 12.4 12.8 11.3 10.3 13.7 12.9 13.6 15.2 17.4 17.5 16.6 16.1 13.9 16.6 18.6 21.5 21.8 19.9 19.7 22.9 50.1 19551955 9.4 8.6 7.6 8.5 10.4 13.5 14.6 13.0 13.4 12.0 11.0 14.3 13.6 14.3 15.8 18.0 18.1 17.3 16.9 15.0 17.5 19.4 22.1 22.4 21.0 21.1 23.7 37.2 25.3 19561956 9.4 8.6 7.7 8.5 10.3 13.3 14.3 12.8 13.1 11.8 10.9 14.0 13.3 13.9 15.4 17.3 17.4 16.6 16.2 14.4 16.6 18.1 20.3 20.3 18.8 18.4 19.7 26.8 16.5 8.3 19571957 8.7 7.9 7.0 7.8 9.4 12.3 13.2 11.7 12.0 10.7 9.8 12.6 11.9 12.4 13.7 15.4 15.3 14.4 13.9 12.1 13.9 14.9 16.4 16.0 14.1 13.1 13.0 16.3 6.9 -1.3 -10.1 19581958 9.7 9.0 8.1 8.9 10.6 13.4 14.3 12.9 13.2 12.0 11.2 14.0 13.4 13.9 15.2 16.9 17.0 16.2 15.9 14.3 16.2 17.4 19.0 18.9 17.6 17.2 17.8 21.6 15.3 12.2 14.2 45.0 19591959 9.7 9.1 8.2 9.0 10.6 13.3 14.2 12.9 13.2 12.1 11.2 14.0 13.3 13.9 15.1 16.7 16.7 16.0 15.7 14.2 15.9 17.0 18.4 18.2 17.1 16.6 17.1 20.1 14.8 12.3 13.7 27.9 12.8 19601960 9.5 8.8 8.0 8.8 10.3 12.9 13.7 12.4 12.7 11.6 10.8 13.4 12.7 13.2 14.3 15.8 15.8 15.1 14.7 13.3 14.8 15.7 16.9 16.6 15.3 14.8 14.9 17.1 12.4 9.9 10.4 18.2 6.7 0.9 19611961 9.9 9.3 8.5 9.3 10.8 13.3 14.2 12.9 13.2 12.1 11.4 13.9 13.3 13.8 14.9 16.3 16.3 15.7 15.4 14.1 15.5 16.4 17.6 17.4 16.4 15.9 16.2 18.3 14.4 12.6 13.5 20.3 13.1 13.2 27.0 19621962 9.4 8.7 8.0 8.7 10.1 12.5 13.3 12.0 12.3 11.3 10.5 12.8 12.3 12.7 13.7 14.9 14.9 14.2 13.8 12.5 13.8 14.5 15.4 15.1 13.9 13.4 13.3 14.8 11.0 9.1 9.3 13.6 6.9 5.1 7.2 -9.6 19631963 9.7 9.0 8.3 9.0 10.4 12.8 13.5 12.3 12.6 11.6 10.9 13.2 12.6 13.0 14.0 15.2 15.2 14.5 14.2 13.0 14.2 14.9 15.8 15.5 14.5 14.0 14.0 15.4 12.1 10.6 10.9 14.8 9.6 8.8 11.6 4.6 21.0 19641964 9.8 9.2 8.5 9.2 10.6 12.9 13.6 12.4 12.7 11.7 11.1 13.3 12.7 13.1 14.1 15.3 15.2 14.6 14.3 13.2 14.3 15.0 15.8 15.5 14.6 14.1 14.2 15.5 12.5 11.2 11.5 15.0 10.7 10.3 12.7 8.3 18.6 16.2 19651965 9.9 9.4 8.7 9.4 10.7 12.9 13.6 12.5 12.8 11.8 11.2 13.3 12.8 13.2 14.1 15.2 15.2 14.6 14.3 13.2 14.3 14.9 15.7 15.5 14.6 14.2 14.2 15.4 12.7 11.5 11.9 15.0 11.2 11.0 13.1 9.9 17.2 15.3 14.5 19661966 9.4 8.9 8.2 8.8 10.1 12.2 12.9 11.8 12.0 11.1 10.5 12.5 11.9 12.3 13.1 14.2 14.1 13.5 13.1 12.1 13.0 13.6 14.2 13.9 13.0 12.5 12.4 13.4 10.7 9.5 9.6 12.0 8.5 7.9 9.1 5.8 10.1 6.7 2.2 -8.8 19671967 9.8 9.3 8.6 9.3 10.5 12.6 13.3 12.2 12.5 11.6 11.0 13.0 12.5 12.8 13.6 14.7 14.6 14.1 13.7 12.8 13.7 14.2 14.9 14.6 13.8 13.4 13.4 14.4 12.0 10.9 11.2 13.6 10.5 10.3 11.6 9.3 13.5 11.7 10.2 8.1 28.21968 9.9 9.4 8.8 9.4 10.6 12.7 13.3 12.3 12.5 11.7 11.1 13.0 12.5 12.9 13.7 14.6 14.6 14.1 13.8 12.8 13.7 14.2 14.9 14.6 13.8 13.4 13.4 14.3 12.1 11.2 11.4 13.6 10.9 10.7 12.0 10.0 13.6 12.2 11.2 10.1 21.01969 9.4 8.9 8.3 8.9 10.0 12.0 12.6 11.6 11.8 11.0 10.4 12.2 11.7 12.0 12.7 13.6 13.5 13.0 12.7 11.7 12.6 13.0 13.5 13.2 12.4 12.0 11.9 12.6 10.5 9.5 9.6 11.4 8.7 8.3 9.2 7.2 9.8 8.0 6.4 4.5 9.41970 9.2 8.7 8.1 8.7 9.8 11.7 12.3 11.3 11.5 10.7 10.1 11.8 11.3 11.6 12.3 13.2 13.1 12.5 12.2 11.3 12.0 12.4 12.9 12.6 11.8 11.3 11.2 11.9 9.8 8.9 8.9 10.5 8.1 7.6 8.3 6.4 8.6 7.0 5.5 3.8 7.21971 9.4 8.9 8.3 8.8 9.9 11.8 12.4 11.4 11.6 10.8 10.2 11.9 11.5 11.8 12.4 13.3 13.2 12.7 12.3 11.5 12.2 12.6 13.0 12.7 12.0 11.6 11.5 12.1 10.2 9.3 9.4 10.9 8.7 8.3 9.0 7.4 9.4 8.1 6.9 5.7 8.91972 9.5 9.0 8.4 9.0 10.1 11.9 12.5 11.5 11.7 11.0 10.4 12.1 11.6 11.9 12.6 13.4 13.3 12.8 12.5 11.6 12.4 12.7 13.2 12.9 12.2 11.8 11.7 12.3 10.5 9.7 9.8 11.3 9.2 8.9 9.6 8.2 10.1 9.0 8.1 7.2 10.21973 8.9 8.4 7.8 8.3 9.4 11.1 11.6 10.7 10.9 10.1 9.5 11.1 10.7 10.9 11.5 12.2 12.1 11.6 11.3 10.4 11.1 11.4 11.8 11.4 10.7 10.3 10.1 10.6 8.8 8.0 8.0 9.2 7.2 6.8 7.2 5.7 7.3 6.0 4.9 3.7 5.71974 7.9 7.4 6.9 7.3 8.3 10.0 10.5 9.6 9.7 8.9 8.3 9.8 9.4 9.6 10.1 10.8 10.6 10.1 9.7 8.8 9.4 9.6 9.9 9.5 8.7 8.3 8.0 8.4 6.6 5.7 5.6 6.6 4.6 4.0 4.3 2.7 3.8 2.4 1.1 -0.3 0.81975 8.5 8.0 7.4 7.9 8.9 10.6 11.1 10.2 10.3 9.6 9.0 10.5 10.1 10.3 10.8 11.5 11.3 10.8 10.5 9.7 10.3 10.5 10.8 10.5 9.8 9.4 9.2 9.6 8.0 7.2 7.1 8.1 6.3 5.9 6.2 4.9 6.1 4.9 4.0 3.0 4.41976 8.8 8.4 7.8 8.3 9.3 10.9 11.4 10.5 10.7 9.9 9.4 10.9 10.5 10.7 11.2 11.9 11.8 11.3 11.0 10.2 10.8 11.0 11.4 11.1 10.4 10.0 9.9 10.3 8.8 8.0 8.0 9.1 7.3 7.0 7.4 6.2 7.5 6.5 5.7 5.0 6.41977 8.6 8.1 7.6 8.1 9.0 10.6 11.1 10.2 10.3 9.6 9.1 10.5 10.1 10.3 10.8 11.4 11.3 10.8 10.5 9.8 10.3 10.5 10.8 10.5 9.9 9.5 9.3 9.7 8.2 7.5 7.5 8.4 6.8 6.5 6.8 5.6 6.7 5.8 5.0 4.3 5.51978 8.6 8.1 7.6 8.1 9.0 10.5 11.0 10.1 10.3 9.6 9.1 10.5 10.1 10.2 10.7 11.4 11.2 10.8 10.5 9.7 10.3 10.5 10.8 10.4 9.8 9.4 9.3 9.6 8.2 7.5 7.5 8.4 6.8 6.5 6.9 5.8 6.8 5.9 5.2 4.6 5.81979 8.8 8.4 7.9 8.4 9.3 10.8 11.2 10.4 10.6 9.9 9.4 10.8 10.4 10.6 11.1 11.7 11.6 11.1 10.8 10.1 10.6 10.9 11.2 10.9 10.3 9.9 9.8 10.2 8.8 8.2 8.2 9.1 7.6 7.3 7.7 6.7 7.8 7.0 6.4 5.8 7.01980 9.2 8.8 8.3 8.8 9.7 11.2 11.7 10.9 11.0 10.4 9.9 11.2 10.9 11.1 11.6 12.2 12.1 11.7 11.4 10.7 11.2 11.5 11.8 11.5 11.0 10.7 10.6 10.9 9.7 9.1 9.1 10.0 8.7 8.5 8.8 8.0 9.0 8.4 7.9 7.5 8.71981 9.0 8.6 8.1 8.6 9.4 10.9 11.3 10.6 10.7 10.0 9.6 10.9 10.5 10.7 11.2 11.8 11.7 11.2 11.0 10.3 10.8 11.0 11.3 11.0 10.5 10.2 10.0 10.4 9.1 8.6 8.6 9.4 8.1 7.9 8.2 7.4 8.3 7.7 7.2 6.8 7.91982 9.2 8.8 8.3 8.8 9.7 11.1 11.5 10.8 10.9 10.3 9.8 11.1 10.7 10.9 11.4 12.0 11.9 11.5 11.2 10.6 11.1 11.3 11.6 11.3 10.8 10.5 10.4 10.8 9.6 9.0 9.0 9.9 8.6 8.4 8.8 8.0 9.0 8.4 7.9 7.6 8.71983 9.4 9.0 8.6 9.0 9.9 11.3 11.7 11.0 11.1 10.5 10.1 11.4 11.0 11.2 11.7 12.2 12.1 11.8 11.5 10.9 11.4 11.6 11.9 11.7 11.2 10.9 10.8 11.1 10.0 9.5 9.5 10.4 9.2 9.0 9.4 8.6 9.6 9.1 8.7 8.4 9.51984 9.4 9.0 8.5 9.0 9.8 11.2 11.6 10.9 11.0 10.4 10.0 11.2 10.9 11.1 11.5 12.1 12.0 11.6 11.4 10.8 11.2 11.4 11.7 11.5 11.0 10.7 10.6 10.9 9.8 9.3 9.4 10.2 9.0 8.9 9.2 8.5 9.4 8.9 8.5 8.2 9.21985 9.7 9.3 8.9 9.3 10.2 11.6 12.0 11.3 11.4 10.8 10.4 11.6 11.3 11.5 11.9 12.5 12.4 12.1 11.8 11.2 11.7 11.9 12.2 12.0 11.5 11.3 11.2 11.6 10.5 10.0 10.1 10.9 9.8 9.7 10.0 9.4 10.3 9.8 9.5 9.3 10.31986 9.8 9.5 9.0 9.5 10.3 11.6 12.1 11.4 11.5 10.9 10.5 11.7 11.4 11.6 12.0 12.6 12.5 12.2 11.9 11.4 11.8 12.1 12.3 12.1 11.7 11.4 11.4 11.7 10.7 10.2 10.3 11.1 10.0 9.9 10.3 9.7 10.6 10.1 9.8 9.6 10.61987 9.7 9.3 8.9 9.3 10.1 11.5 11.9 11.2 11.3 10.7 10.4 11.5 11.2 11.4 11.8 12.3 12.3 11.9 11.7 11.1 11.6 11.8 12.0 11.8 11.4 11.1 11.1 11.4 10.4 10.0 10.0 10.8 9.7 9.6 10.0 9.4 10.2 9.8 9.5 9.3 10.21988 9.8 9.5 9.0 9.5 10.3 11.6 12.0 11.3 11.4 10.9 10.5 11.6 11.3 11.5 11.9 12.5 12.4 12.0 11.8 11.3 11.7 11.9 12.2 12.0 11.6 11.3 11.3 11.6 10.6 10.2 10.3 11.0 10.0 9.9 10.2 9.7 10.5 10.1 9.8 9.6 10.61989 10.1 9.8 9.3 9.8 10.6 11.9 12.2 11.6 11.7 11.2 10.8 11.9 11.7 11.8 12.3 12.8 12.7 12.4 12.2 11.7 12.1 12.3 12.6 12.4 12.0 11.8 11.7 12.0 11.1 10.7 10.8 11.5 10.6 10.5 10.8 10.3 11.1 10.7 10.5 10.4 11.31990 9.8 9.5 9.1 9.5 10.3 11.5 11.9 11.2 11.4 10.8 10.5 11.6 11.3 11.5 11.9 12.4 12.3 12.0 11.8 11.2 11.7 11.8 12.1 11.9 11.5 11.3 11.2 11.5 10.6 10.2 10.2 10.9 10.0 9.9 10.2 9.7 10.5 10.1 9.8 9.7 10.51991 10.2 9.8 9.4 9.9 10.6 11.9 12.3 11.6 11.7 11.2 10.9 12.0 11.7 11.9 12.3 12.8 12.7 12.4 12.2 11.7 12.1 12.3 12.6 12.4 12.0 11.8 11.8 12.1 11.2 10.8 10.9 11.6 10.7 10.6 10.9 10.4 11.2 10.9 10.7 10.5 11.41992 10.2 9.8 9.4 9.9 10.6 11.8 12.2 11.6 11.7 11.2 10.9 11.9 11.7 11.8 12.2 12.7 12.6 12.3 12.2 11.7 12.1 12.3 12.5 12.3 12.0 11.7 11.7 12.0 11.1 10.8 10.9 11.5 10.7 10.6 10.9 10.4 11.2 10.8 10.7 10.5 11.31993 10.2 9.9 9.5 9.9 10.6 11.8 12.2 11.6 11.7 11.2 10.9 11.9 11.6 11.8 12.2 12.7 12.6 12.3 12.1 11.7 12.1 12.2 12.5 12.3 11.9 11.7 11.7 12.0 11.1 10.8 10.9 11.5 10.7 10.6 10.9 10.5 11.2 10.9 10.7 10.5 11.31994 10.0 9.7 9.3 9.7 10.4 11.6 12.0 11.4 11.5 11.0 10.7 11.7 11.4 11.6 12.0 12.4 12.4 12.1 11.9 11.4 11.8 12.0 12.2 12.0 11.6 11.4 11.4 11.7 10.8 10.5 10.6 11.2 10.4 10.3 10.6 10.1 10.8 10.5 10.3 10.2 10.91995 10.4 10.1 9.7 10.1 10.8 12.0 12.3 11.7 11.9 11.4 11.1 12.1 11.8 12.0 12.4 12.8 12.8 12.5 12.3 11.9 12.2 12.4 12.7 12.5 12.1 12.0 11.9 12.2 11.4 11.1 11.2 11.8 11.0 10.9 11.2 10.8 11.5 11.2 11.1 10.9 11.71996 10.5 10.2 9.9 10.2 11.0 12.1 12.5 11.9 12.0 11.5 11.2 12.2 12.0 12.1 12.5 13.0 12.9 12.6 12.5 12.0 12.4 12.6 12.8 12.7 12.3 12.2 12.1 12.4 11.6 11.3 11.4 12.0 11.3 11.2 11.5 11.1 11.8 11.5 11.4 11.3 12.01997 10.8 10.5 10.1 10.5 11.2 12.4 12.7 12.2 12.3 11.8 11.5 12.5 12.3 12.5 12.8 13.3 13.2 13.0 12.8 12.4 12.8 13.0 13.2 13.0 12.7 12.5 12.5 12.8 12.1 11.8 11.9 12.5 11.7 11.7 12.0 11.6 12.3 12.1 11.9 11.8 12.61998 11.0 10.7 10.3 10.7 11.4 12.6 12.9 12.4 12.5 12.0 11.7 12.7 12.5 12.6 13.0 13.5 13.4 13.2 13.0 12.6 13.0 13.2 13.4 13.3 12.9 12.8 12.8 13.1 12.3 12.0 12.1 12.7 12.0 12.0 12.3 11.9 12.6 12.4 12.3 12.2 12.91999 11.2 10.9 10.5 10.9 11.6 12.7 13.1 12.5 12.7 12.2 11.9 12.9 12.7 12.8 13.2 13.7 13.6 13.4 13.2 12.8 13.2 13.4 13.6 13.5 13.2 13.0 13.0 13.3 12.6 12.3 12.4 13.0 12.3 12.3 12.6 12.3 12.9 12.7 12.6 12.6 13.32000 10.8 10.5 10.2 10.6 11.2 12.4 12.7 12.1 12.3 11.8 11.5 12.5 12.2 12.4 12.8 13.2 13.1 12.9 12.7 12.3 12.7 12.9 13.1 12.9 12.6 12.5 12.5 12.7 12.0 11.7 11.8 12.4 11.7 11.7 12.0 11.6 12.2 12.0 11.9 11.8 12.52001 10.5 10.2 9.9 10.2 10.9 12.0 12.3 11.8 11.9 11.4 11.1 12.1 11.8 12.0 12.3 12.7 12.7 12.4 12.3 11.9 12.2 12.4 12.6 12.4 12.1 12.0 11.9 12.2 11.5 11.2 11.3 11.8 11.1 11.1 11.3 11.0 11.6 11.3 11.2 11.1 11.72002 10.0 9.7 9.4 9.7 10.4 11.4 11.7 11.2 11.3 10.9 10.6 11.5 11.2 11.4 11.7 12.1 12.0 11.7 11.6 11.2 11.5 11.6 11.8 11.7 11.4 11.2 11.1 11.4 10.7 10.4 10.4 10.9 10.3 10.2 10.4 10.1 10.6 10.3 10.2 10.1 10.72003 10.3 10.0 9.6 10.0 10.6 11.7 12.0 11.5 11.6 11.1 10.9 11.7 11.5 11.6 12.0 12.4 12.3 12.1 11.9 11.5 11.8 12.0 12.2 12.0 11.7 11.5 11.5 11.7 11.1 10.8 10.8 11.3 10.7 10.7 10.9 10.5 11.1 10.8 10.7 10.6 11.22004 10.3 10.0 9.7 10.0 10.7 11.7 12.0 11.5 11.6 11.2 10.9 11.7 11.5 11.7 12.0 12.4 12.3 12.1 11.9 11.5 11.8 12.0 12.2 12.0 11.7 11.6 11.5 11.7 11.1 10.8 10.9 11.4 10.7 10.7 10.9 10.6 11.1 10.9 10.7 10.6 11.22005 10.2 10.0 9.6 10.0 10.6 11.6 11.9 11.4 11.5 11.1 10.8 11.7 11.4 11.6 11.9 12.3 12.2 12.0 11.8 11.4 11.7 11.9 12.1 11.9 11.6 11.5 11.4 11.6 11.0 10.7 10.8 11.2 10.6 10.6 10.8 10.5 11.0 10.7 10.6 10.5 11.12006 10.3 10.0 9.7 10.0 10.7 11.7 12.0 11.5 11.5 11.1 10.9 11.7 11.5 11.6 11.9 12.3 12.3 12.0 11.9 11.5 11.8 11.9 12.1 12.0 11.7 11.5 11.5 11.7 11.1 10.8 10.9 11.3 10.7 10.7 10.9 10.6 11.1 10.9 10.7 10.6 11.22007 10.2 10.0 9.6 10.0 10.6 11.6 11.9 11.4 11.5 11.1 10.8 11.6 11.4 11.5 11.8 12.2 12.1 11.9 11.8 11.4 11.7 11.8 12.0 11.9 11.6 11.4 11.4 11.6 11.0 10.7 10.7 11.2 10.6 10.6 10.8 10.5 10.9 10.7 10.6 10.5 11.02008 9.5 9.2 8.9 9.2 9.8 10.8 11.0 10.5 10.6 10.2 9.9 10.7 10.5 10.6 10.9 11.2 11.2 10.9 10.8 10.4 10.7 10.8 10.9 10.8 10.5 10.3 10.3 10.4 9.8 9.5 9.6 10.0 9.4 9.3 9.5 9.2 9.6 9.4 9.2 9.1 9.62009 9.7 9.4 9.1 9.4 10.0 11.0 11.3 10.8 10.8 10.4 10.2 11.0 10.7 10.9 11.1 11.5 11.4 11.2 11.0 10.7 10.9 11.1 11.2 11.1 10.8 10.6 10.6 10.7 10.1 9.9 9.9 10.3 9.7 9.7 9.9 9.5 10.0 9.8 9.6 9.5 10.02010 9.8 9.5 9.2 9.5 10.1 11.1 11.3 10.8 10.9 10.5 10.3 11.1 10.8 11.0 11.2 11.6 11.5 11.3 11.1 10.8 11.0 11.2 11.3 11.2 10.9 10.7 10.7 10.9 10.3 10.0 10.0 10.5 9.9 9.8 10.0 9.7 10.1 9.9 9.8 9.7 10.12011 9.7 9.4 9.1 9.4 10.0 10.9 11.2 10.7 10.8 10.4 10.1 10.9 10.7 10.8 11.1 11.4 11.4 11.1 11.0 10.6 10.9 11.0 11.1 11.0 10.7 10.6 10.5 10.7 10.1 9.8 9.9 10.3 9.7 9.7 9.8 9.5 9.9 9.7 9.6 9.5 9.92012 9.8 9.5 9.2 9.5 10.1 11.0 11.2 10.8 10.9 10.5 10.2 11.0 10.8 10.9 11.1 11.5 11.4 11.2 11.0 10.7 10.9 11.1 11.2 11.1 10.8 10.6 10.6 10.8 10.2 9.9 10.0 10.4 9.8 9.8 9.9 9.6 10.0 9.8 9.7 9.6 10.0

1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967

19681968 11.1 19691969 0.8 -8.5 19701970 1.9 -2.4 4.0 19711971 4.9 2.9 9.1 14.3 19721972 7.5 6.7 12.3 16.6 19.0 19731973 3.5 2.0 4.8 5.1 0.8 -14.7 19741974 -1.5 -3.4 -2.3 -3.9 -9.3 -20.8 -26.5 19751975 2.7 1.6 3.3 3.2 0.6 -4.9 0.5 37.2 19761976 4.9 4.1 6.1 6.4 4.9 1.6 7.7 30.4 23.8 19771977 3.6 2.8 4.3 4.3 2.8 -0.2 3.8 16.4 7.2 -7.2 19781978 3.9 3.2 4.6 4.6 3.3 0.9 4.3 13.9 7.0 -0.5 6.6 19791979 5.0 4.5 5.9 6.1 5.1 3.2 6.6 14.8 9.8 5.4 12.3 18.4 19801980 6.9 6.6 8.0 8.4 7.8 6.5 9.9 17.5 13.9 11.6 18.7 25.2 32.4 19811981 6.0 5.6 6.9 7.2 6.5 5.2 7.9 14.0 10.6 8.1 12.3 14.2 12.2 -4.9 19821982 7.0 6.7 7.9 8.3 7.7 6.7 9.4 14.9 12.1 10.2 14.0 16.0 15.2 7.4 21.4 19831983 7.9 7.7 8.9 9.3 8.9 8.0 10.6 15.7 13.3 11.9 15.4 17.3 17.0 12.3 22.0 22.5 19841984 7.8 7.6 8.7 9.1 8.7 7.9 10.2 14.8 12.5 11.2 14.1 15.4 14.8 10.7 16.5 14.1 6.3 19851985 9.0 8.9 10.1 10.5 10.2 9.6 11.9 16.2 14.3 13.3 16.2 17.6 17.5 14.7 20.2 19.8 18.5 32.2 19861986 9.5 9.4 10.6 11.0 10.8 10.2 12.4 16.4 14.7 13.8 16.4 17.7 17.6 15.3 19.9 19.5 18.5 25.1 18.5 19871987 9.3 9.2 10.3 10.6 10.4 9.9 11.9 15.5 13.9 13.0 15.3 16.3 16.0 13.8 17.3 16.5 15.0 18.1 11.7 5.2 19881988 9.6 9.5 10.6 11.0 10.8 10.3 12.2 15.6 14.1 13.3 15.4 16.3 16.1 14.2 17.2 16.5 15.4 17.8 13.3 10.9 16.8 19891989 10.5 10.5 11.6 12.0 11.8 11.4 13.3 16.6 15.3 14.6 16.7 17.6 17.5 16.0 18.9 18.6 17.9 20.4 17.6 17.4 23.9 31.5 19901990 9.9 9.8 10.8 11.2 11.0 10.6 12.3 15.3 13.9 13.3 15.0 15.7 15.5 13.9 16.2 15.6 14.7 16.1 13.2 11.9 14.2 12.9 -3.1 19911991 10.7 10.7 11.6 12.0 11.9 11.5 13.2 16.1 14.9 14.3 16.1 16.8 16.7 15.3 17.6 17.2 16.5 18.1 15.9 15.4 18.0 18.5 12.4 30.5 19921992 10.6 10.5 11.5 11.8 11.7 11.3 12.9 15.6 14.5 13.9 15.5 16.1 16.0 14.7 16.7 16.2 15.5 16.7 14.7 14.0 15.9 15.7 10.8 18.5 7.6 19931993 10.5 10.5 11.4 11.7 11.6 11.3 12.8 15.3 14.2 13.7 15.1 15.7 15.5 14.3 16.1 15.6 14.9 16.0 14.1 13.5 14.9 14.5 10.6 15.6 8.8 10.1 19941994 10.2 10.2 11.0 11.3 11.1 10.8 12.2 14.6 13.5 13.0 14.3 14.8 14.5 13.3 14.9 14.4 13.6 14.4 12.6 11.9 12.8 12.2 8.7 11.9 6.3 5.6 1.3 19951995 11.1 11.1 11.9 12.2 12.1 11.8 13.2 15.6 14.6 14.1 15.4 16.0 15.8 14.8 16.4 16.0 15.5 16.3 14.9 14.5 15.7 15.5 13.1 16.6 13.4 15.3 18.1 37.6 19961996 11.5 11.5 12.3 12.6 12.6 12.3 13.6 15.9 15.0 14.6 15.8 16.4 16.2 15.3 16.8 16.5 16.0 16.9 15.6 15.3 16.5 16.4 14.4 17.6 15.2 17.2 19.7 30.1 23.0 19971997 12.1 12.2 13.0 13.3 13.3 13.1 14.4 16.6 15.8 15.4 16.6 17.2 17.1 16.3 17.8 17.5 17.2 18.1 17.0 16.8 18.1 18.2 16.6 19.8 18.1 20.3 23.0 31.2 28.1 33.4 19981998 12.6 12.7 13.5 13.8 13.8 13.6 14.9 17.1 16.3 16.0 17.2 17.7 17.7 16.9 18.4 18.2 17.9 18.8 17.8 17.8 19.0 19.2 17.9 20.8 19.5 21.6 24.1 30.5 28.2 30.9 28.6 19991999 12.9 12.9 13.7 14.1 14.1 13.9 15.2 17.2 16.5 16.2 17.4 17.9 17.9 17.2 18.5 18.4 18.1 18.9 18.0 18.0 19.1 19.4 18.2 20.9 19.7 21.5 23.6 28.6 26.4 27.6 24.8 21.0 20002000 12.1 12.2 12.9 13.2 13.2 13.0 14.2 16.1 15.3 15.0 16.1 16.5 16.4 15.7 16.9 16.6 16.3 17.0 16.0 15.8 16.7 16.7 15.4 17.5 16.1 17.2 18.3 21.3 18.3 17.2 12.3 4.9 -9.1 20012001 11.3 11.4 12.0 12.3 12.2 12.0 13.1 14.9 14.1 13.8 14.7 15.1 15.0 14.2 15.2 14.9 14.5 15.0 14.0 13.7 14.4 14.2 12.9 14.4 12.9 13.5 14.0 15.9 12.7 10.7 5.7 -1.0 -10.5 -11.9 20022002 10.2 10.2 10.8 11.0 10.9 10.7 11.7 13.3 12.5 12.1 13.0 13.3 13.0 12.2 13.1 12.7 12.2 12.6 11.5 11.1 11.5 11.1 9.7 10.8 9.2 9.3 9.3 10.3 6.9 4.4 -0.6 -6.8 -14.6 -17.2 -22.1 20032003 10.7 10.7 11.3 11.5 11.4 11.2 12.2 13.8 13.1 12.7 13.5 13.8 13.6 12.9 13.8 13.4 13.0 13.4 12.4 12.0 12.5 12.2 10.9 12.1 10.7 11.0 11.1 12.2 9.4 7.6 3.8 -0.6 -5.3 -4.1 0.1 28.7 20042004 10.7 10.7 11.3 11.5 11.4 11.2 12.1 13.7 13.0 12.6 13.4 13.7 13.5 12.8 13.7 13.3 12.9 13.2 12.3 12.0 12.4 12.1 10.9 12.0 10.7 11.0 11.0 12.1 9.5 8.0 4.8 1.3 -2.3 -0.5 3.6 19.5 10.9 20052005 10.5 10.5 11.1 11.3 11.2 11.0 11.9 13.4 12.7 12.4 13.1 13.4 13.2 12.5 13.3 12.9 12.5 12.8 11.9 11.6 12.0 11.7 10.5 11.5 10.3 10.5 10.5 11.4 9.1 7.6 4.8 1.8 -1.1 0.5 3.9 14.4 7.9 4.9 20062006 10.7 10.7 11.2 11.4 11.4 11.1 12.0 13.5 12.8 12.5 13.2 13.5 13.3 12.6 13.4 13.0 12.7 13.0 12.1 11.8 12.2 11.9 10.9 11.8 10.6 10.9 10.9 11.8 9.7 8.4 6.0 3.4 1.1 2.9 6.2 14.7 10.4 10.2 15.8 20072007 10.5 10.5 11.1 11.3 11.2 11.0 11.8 13.3 12.6 12.2 13.0 13.2 13.0 12.3 13.1 12.7 12.3 12.6 11.8 11.5 11.8 11.6 10.5 11.4 10.3 10.5 10.5 11.3 9.3 8.2 5.9 3.7 1.7 3.3 6.1 12.8 9.2 8.6 10.5 5.5 20082008 9.0 9.0 9.5 9.6 9.5 9.2 10.0 11.3 10.6 10.2 10.8 11.0 10.7 10.0 10.6 10.2 9.8 9.9 9.0 8.6 8.8 8.4 7.3 7.9 6.7 6.7 6.5 6.8 4.8 3.4 1.0 -1.4 -3.6 -2.9 -1.5 2.4 -2.2 -5.2 -8.4 -18.5 -37.0 20092009 9.4 9.4 9.9 10.0 9.9 9.7 10.4 11.7 11.1 10.7 11.3 11.5 11.2 10.6 11.2 10.8 10.4 10.5 9.7 9.4 9.6 9.2 8.2 8.8 7.7 7.8 7.6 8.0 6.2 5.0 2.9 0.9 -0.9 0.0 1.6 5.5 2.1 0.4 -0.7 -5.6 -10.7 26.5 20102010 9.5 9.5 10.0 10.1 10.0 9.8 10.6 11.8 11.2 10.8 11.4 11.6 11.4 10.7 11.3 11.0 10.5 10.7 9.9 9.6 9.8 9.5 8.5 9.1 8.1 8.1 8.0 8.5 6.8 5.7 3.8 2.0 0.4 1.4 3.0 6.7 3.9 2.7 2.3 -0.8 -2.9 20.6 15.1 20112011 9.4 9.3 9.8 9.9 9.8 9.6 10.3 11.5 10.9 10.6 11.1 11.3 11.1 10.4 11.0 10.6 10.2 10.4 9.6 9.3 9.5 9.1 8.2 8.8 7.8 7.8 7.7 8.1 6.5 5.5 3.7 2.0 0.6 1.5 2.9 6.2 3.6 2.6 2.3 -0.2 -1.6 14.1 8.4 2.1 20122012 9.5 9.5 9.9 10.1 10.0 9.8 10.5 11.7 11.0 10.7 11.3 11.4 11.2 10.6 11.1 10.8 10.4 10.6 9.9 9.5 9.7 9.4 8.6 9.1 8.2 8.2 8.1 8.5 7.0 6.1 4.5 2.9 1.7 2.6 4.0 7.1 4.9 4.2 4.1 2.3 1.7 14.6 10.9 8.8 16.0

1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

19681968 14.2 19691969 1.0 -10.6 19701970 1.0 -5.1 0.9 19711971 4.6 1.5 8.2 16.0 19721972 6.9 5.1 11.0 16.4 16.8 19731973 2.3 0.1 3.0 3.7 -2.0 -17.8 19741974 -2.6 -5.2 -4.1 -5.2 -11.4 -22.9 -27.7 19751975 1.7 0.1 2.0 2.2 -1.0 -6.3 -0.1 38.1 19761976 4.3 3.1 5.2 5.9 4.0 1.1 8.2 32.4 27.0 19771977 3.5 2.4 4.1 4.6 2.8 0.2 5.3 19.4 10.9 -3.1 19781978 3.9 2.9 4.6 5.1 3.6 1.5 5.9 16.5 10.0 2.4 8.2 19791979 5.4 4.7 6.4 7.0 5.9 4.4 8.7 17.9 13.3 9.1 15.7 23.7 19801980 7.4 6.8 8.6 9.4 8.6 7.7 11.9 20.3 17.1 14.7 21.3 28.4 33.4 19811981 6.6 6.0 7.5 8.1 7.4 6.4 9.9 16.6 13.4 10.8 14.6 16.8 13.5 -3.3 19821982 7.5 7.0 8.5 9.2 8.6 7.8 11.1 17.2 14.5 12.5 15.9 17.9 16.1 8.3 21.3 19831983 8.4 8.0 9.5 10.2 9.7 9.1 12.2 17.9 15.5 14.0 17.1 19.0 17.8 13.1 22.3 23.2 19841984 8.2 7.8 9.2 9.8 9.4 8.8 11.6 16.5 14.3 12.8 15.3 16.5 15.1 11.0 16.2 13.8 5.0 19851985 9.4 9.2 10.5 11.2 10.9 10.4 13.2 17.9 16.0 14.8 17.3 18.7 17.8 15.0 20.1 19.6 17.9 32.4 19861986 9.8 9.6 10.9 11.5 11.2 10.8 13.4 17.8 16.1 15.0 17.2 18.4 17.7 15.2 19.4 18.9 17.5 24.2 16.6 19871987 9.4 9.1 10.4 10.9 10.6 10.2 12.6 16.5 14.8 13.8 15.6 16.4 15.6 13.2 16.3 15.3 13.4 16.3 9.0 2.0 19881988 9.8 9.6 10.7 11.3 11.0 10.7 12.9 16.6 15.0 14.1 15.8 16.6 15.8 13.8 16.5 15.7 14.3 16.7 11.9 9.6 17.9 19891989 10.6 10.4 11.6 12.2 12.0 11.7 13.8 17.3 16.0 15.2 16.8 17.7 17.1 15.4 18.0 17.5 16.6 19.0 15.9 15.7 23.3 28.9 19901990 9.8 9.6 10.7 11.2 10.9 10.6 12.6 15.7 14.4 13.5 14.9 15.5 14.8 13.0 15.0 14.3 13.0 14.4 11.2 9.8 12.6 10.1 -6.0 19911991 10.7 10.6 11.7 12.2 12.0 11.8 13.7 16.8 15.5 14.8 16.2 16.9 16.3 14.9 16.9 16.4 15.5 17.1 14.8 14.4 17.8 17.7 12.5 34.7 19921992 10.7 10.6 11.6 12.1 11.9 11.7 13.5 16.4 15.2 14.5 15.8 16.3 15.8 14.4 16.2 15.7 14.9 16.2 14.1 13.7 16.2 15.7 11.6 21.7 9.9 19931993 10.7 10.6 11.6 12.1 11.9 11.7 13.4 16.1 15.0 14.3 15.5 16.0 15.5 14.2 15.8 15.3 14.5 15.6 13.7 13.3 15.3 14.8 11.5 18.1 10.6 11.3 19941994 10.3 10.2 11.1 11.5 11.3 11.1 12.7 15.2 14.1 13.5 14.5 14.9 14.3 13.1 14.5 13.9 13.1 14.0 12.1 11.5 13.0 12.2 9.1 13.2 6.9 5.4 -0.2 19951995 11.1 11.0 12.0 12.4 12.3 12.1 13.7 16.2 15.2 14.6 15.6 16.1 15.6 14.5 15.9 15.5 14.9 15.9 14.3 14.1 15.7 15.4 13.3 17.6 13.6 14.9 16.8 36.6 19961996 11.5 11.4 12.3 12.8 12.6 12.5 14.0 16.4 15.5 14.9 15.9 16.4 16.0 15.0 16.3 15.9 15.4 16.3 14.9 14.8 16.3 16.1 14.4 18.2 15.2 16.5 18.3 28.8 21.4 19971997 12.1 12.0 12.9 13.4 13.3 13.2 14.7 17.0 16.1 15.6 16.7 17.1 16.8 15.9 17.2 16.9 16.5 17.4 16.2 16.2 17.7 17.7 16.4 20.0 17.7 19.3 21.4 29.6 26.3 31.3 19981998 12.5 12.4 13.3 13.8 13.7 13.6 15.1 17.3 16.5 16.0 17.0 17.5 17.2 16.3 17.6 17.4 17.0 17.9 16.8 16.9 18.3 18.4 17.2 20.5 18.6 20.1 22.0 28.3 25.6 27.7 24.3 19991999 12.8 12.8 13.7 14.1 14.1 14.0 15.4 17.6 16.8 16.4 17.4 17.8 17.5 16.7 18.0 17.8 17.5 18.3 17.4 17.5 18.8 18.9 18.0 21.0 19.4 20.8 22.5 27.6 25.4 26.8 24.6 24.9 20002000 12.0 12.0 12.8 13.2 13.1 13.0 14.3 16.4 15.6 15.1 16.0 16.3 16.0 15.2 16.3 16.0 15.6 16.3 15.3 15.2 16.2 16.1 15.0 17.4 15.6 16.3 17.0 20.2 17.2 16.1 11.4 5.5 -10.8 20012001 11.3 11.2 12.0 12.3 12.2 12.1 13.3 15.2 14.4 13.9 14.7 15.0 14.6 13.8 14.7 14.4 13.9 14.5 13.4 13.2 14.1 13.8 12.6 14.5 12.6 12.9 13.1 15.2 11.9 10.1 5.4 -0.3 -10.9 -10.9 20022002 10.2 10.1 10.8 11.1 10.9 10.8 11.9 13.7 12.8 12.3 13.0 13.2 12.8 11.9 12.7 12.3 11.7 12.1 11.0 10.7 11.3 10.8 9.5 10.9 9.0 8.9 8.7 9.8 6.4 4.1 -0.6 -6.0 -14.5 -16.3 -21.3 20032003 10.7 10.6 11.3 11.7 11.5 11.4 12.5 14.2 13.5 13.0 13.7 13.9 13.5 12.7 13.5 13.1 12.6 13.1 12.1 11.8 12.5 12.1 11.0 12.4 10.7 10.8 10.8 12.1 9.3 7.7 4.2 0.6 -4.7 -2.6 1.8 31.8 20042004 10.8 10.7 11.4 11.7 11.5 11.4 12.5 14.2 13.4 12.9 13.6 13.8 13.4 12.7 13.4 13.1 12.6 13.0 12.1 11.8 12.4 12.1 11.0 12.4 10.8 10.9 10.9 12.0 9.6 8.2 5.2 2.4 -1.6 0.8 5.1 21.4 11.9 20052005 10.6 10.6 11.2 11.5 11.4 11.2 12.3 13.9 13.2 12.7 13.3 13.5 13.1 12.4 13.1 12.8 12.3 12.7 11.8 11.5 12.1 11.7 10.7 12.0 10.5 10.5 10.5 11.5 9.3 8.0 5.4 2.9 -0.4 1.9 5.4 16.1 9.0 6.2 20062006 10.8 10.7 11.3 11.6 11.5 11.3 12.4 13.9 13.2 12.8 13.4 13.6 13.2 12.5 13.2 12.9 12.4 12.8 11.9 11.7 12.2 11.9 11.0 12.2 10.8 10.9 10.8 11.8 9.8 8.7 6.4 4.4 1.8 4.0 7.3 15.9 11.1 10.7 15.4 20072007 10.6 10.5 11.2 11.5 11.3 11.2 12.2 13.7 13.0 12.6 13.1 13.3 12.9 12.2 12.9 12.6 12.1 12.5 11.6 11.4 11.9 11.6 10.7 11.8 10.5 10.5 10.5 11.3 9.4 8.4 6.3 4.5 2.2 4.2 7.0 13.8 9.7 8.9 10.3 5.5 20082008 9.1 9.0 9.6 9.8 9.6 9.5 10.3 11.7 11.0 10.5 11.0 11.1 10.7 10.0 10.5 10.1 9.6 9.8 8.9 8.6 8.9 8.5 7.5 8.3 6.9 6.7 6.4 6.9 4.9 3.6 1.4 -0.6 -3.1 -2.1 -0.7 3.2 -1.8 -4.9 -8.3 -18.3 -36.7 20092009 9.6 9.5 10.0 10.3 10.1 9.9 10.8 12.2 11.5 11.1 11.5 11.7 11.3 10.6 11.1 10.7 10.3 10.5 9.7 9.4 9.7 9.4 8.5 9.3 8.0 7.9 7.7 8.3 6.5 5.4 3.5 1.8 -0.3 1.0 2.6 6.5 2.8 1.1 -0.1 -4.8 -9.6 29.1 20102010 9.8 9.7 10.2 10.4 10.3 10.1 11.0 12.3 11.7 11.3 11.7 11.8 11.5 10.8 11.3 11.0 10.6 10.8 10.0 9.7 10.1 9.7 8.9 9.7 8.5 8.5 8.3 8.8 7.2 6.3 4.5 3.0 1.3 2.6 4.2 7.9 4.8 3.7 3.2 0.4 -1.2 23.3 17.8 20112011 9.6 9.4 10.0 10.2 10.1 9.9 10.7 12.0 11.4 11.0 11.4 11.5 11.1 10.5 11.0 10.6 10.2 10.4 9.6 9.4 9.7 9.3 8.5 9.3 8.1 8.0 7.9 8.4 6.8 5.9 4.3 2.9 1.2 2.4 3.9 7.1 4.4 3.3 2.9 0.5 -0.7 15.4 9.1 1.0 20122012 9.7 9.6 10.1 10.3 10.2 10.0 10.8 12.1 11.5 11.1 11.5 11.6 11.2 10.6 11.1 10.8 10.4 10.6 9.8 9.6 9.9 9.6 8.8 9.5 8.5 8.4 8.2 8.7 7.3 6.5 5.0 3.7 2.2 3.4 4.8 7.9 5.5 4.7 4.5 2.8 2.3 15.3 11.0 7.8 15.1

1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

Page 9: Dfa matrix book us_2013 - copy

DIMENSIONAL FUND ADVISORS MATRIX BOOK 201314 15

DImENSIONAL US ADjUSTED mARKET 1 INDEX

1928–2012: Total Returns (%)

index data compiled by Dimensional.

19691969 -14.9 19701970 -8.1 -0.6 19711971 -0.4 7.7 16.8 19721972 2.9 9.6 15.1 13.4 19731973 -2.5 0.8 1.3 -5.6 -21.4 19741974 -7.0 -5.4 -6.5 -13.2 -24.1 -26.6 19751975 -1.1 1.4 1.8 -1.6 -6.2 2.5 43.1 19761976 2.6 5.4 6.5 4.5 2.4 11.9 38.2 33.4 19771977 2.6 5.0 5.8 4.1 2.3 9.3 24.8 16.5 1.8 19781978 3.3 5.6 6.4 5.0 3.7 9.6 21.1 14.6 6.1 10.7 19791979 5.3 7.6 8.6 7.6 6.8 12.4 22.4 17.7 12.9 18.9 27.7 19801980 7.3 9.6 10.7 10.0 9.6 15.0 23.9 20.4 17.3 23.0 29.7 31.7 19811981 6.8 8.8 9.7 9.1 8.6 13.1 20.3 16.8 13.8 17.0 19.2 15.1 0.6 19821982 7.9 9.9 10.9 10.3 10.0 14.2 20.7 17.8 15.4 18.3 20.3 18.0 11.6 23.9 19831983 9.1 11.1 12.0 11.6 11.5 15.4 21.4 18.9 17.0 19.7 21.6 20.2 16.5 25.4 27.0 19841984 8.7 10.5 11.4 11.0 10.8 14.3 19.5 17.1 15.2 17.3 18.4 16.6 13.1 17.6 14.6 3.4 19851985 10.0 11.8 12.6 12.4 12.3 15.7 20.5 18.5 16.9 19.0 20.2 19.0 16.6 21.0 20.1 16.8 31.9 19861986 10.3 12.0 12.8 12.6 12.5 15.6 20.1 18.2 16.8 18.6 19.6 18.5 16.4 19.9 18.9 16.3 23.4 15.5 19871987 9.7 11.3 12.0 11.8 11.7 14.5 18.5 16.6 15.2 16.6 17.3 16.1 14.0 16.4 15.0 12.2 15.2 7.7 0.5 19881988 10.3 11.8 12.5 12.3 12.2 14.9 18.6 16.9 15.6 17.0 17.6 16.6 14.8 17.0 15.9 13.8 16.5 11.8 10.1 20.6 19891989 11.0 12.5 13.2 13.0 13.0 15.6 19.1 17.6 16.4 17.7 18.4 17.5 16.0 18.1 17.3 15.8 18.4 15.3 15.3 23.5 26.4 19901990 9.9 11.3 11.9 11.7 11.6 13.9 17.1 15.5 14.3 15.4 15.8 14.7 13.2 14.7 13.6 11.8 13.2 9.8 8.4 11.3 6.9 -9.7 19911991 11.0 12.3 13.0 12.8 12.8 15.1 18.2 16.7 15.7 16.8 17.3 16.4 15.1 16.7 15.9 14.6 16.3 13.9 13.6 17.1 16.0 11.1 36.6 19921992 11.1 12.4 13.0 12.8 12.8 15.0 17.9 16.6 15.6 16.6 17.0 16.2 15.0 16.4 15.7 14.5 15.9 13.8 13.6 16.4 15.3 11.9 24.5 13.5 19931993 11.2 12.5 13.1 12.9 12.9 14.9 17.7 16.4 15.5 16.4 16.8 16.0 14.9 16.2 15.5 14.4 15.7 13.9 13.6 16.0 15.1 12.4 20.9 13.7 14.0 19941994 10.7 11.9 12.5 12.3 12.2 14.2 16.7 15.5 14.5 15.3 15.6 14.9 13.8 14.8 14.1 13.0 14.0 12.2 11.8 13.5 12.4 9.8 15.3 8.9 6.7 -0.2 19951995 11.6 12.7 13.3 13.2 13.2 15.1 17.5 16.4 15.6 16.4 16.7 16.1 15.1 16.2 15.6 14.7 15.8 14.3 14.2 16.1 15.4 13.7 19.0 15.0 15.5 16.3 35.4 19961996 11.9 13.1 13.6 13.5 13.5 15.3 17.7 16.6 15.8 16.6 17.0 16.4 15.5 16.5 16.0 15.2 16.3 14.9 14.9 16.6 16.1 14.7 19.4 16.2 16.9 17.9 28.2 21.3 19971997 12.5 13.7 14.2 14.1 14.2 15.9 18.3 17.3 16.5 17.3 17.7 17.2 16.3 17.4 17.0 16.3 17.4 16.2 16.3 18.0 17.7 16.7 21.0 18.6 19.7 21.1 29.2 26.2 31.2 19981998 12.7 13.8 14.3 14.2 14.2 16.0 18.2 17.2 16.5 17.3 17.6 17.1 16.4 17.4 17.0 16.3 17.3 16.3 16.3 17.9 17.6 16.7 20.5 18.3 19.1 20.2 25.9 22.9 23.7 16.5 19991999 13.0 14.0 14.6 14.5 14.5 16.2 18.4 17.4 16.8 17.5 17.8 17.4 16.7 17.6 17.3 16.7 17.6 16.7 16.8 18.2 18.0 17.2 20.7 18.8 19.6 20.5 25.2 22.7 23.2 19.4 22.2 20002000 12.4 13.4 13.9 13.8 13.8 15.4 17.4 16.5 15.8 16.5 16.8 16.3 15.5 16.4 16.0 15.4 16.2 15.2 15.2 16.4 16.0 15.1 18.0 16.1 16.4 16.7 19.8 16.9 15.8 11.1 8.5 -3.7 20012001 11.8 12.8 13.2 13.1 13.1 14.6 16.5 15.6 14.9 15.5 15.7 15.2 14.5 15.2 14.8 14.1 14.8 13.8 13.7 14.7 14.2 13.3 15.6 13.7 13.8 13.7 15.9 12.9 11.3 6.8 3.7 -4.4 -5.2 20022002 10.7 11.6 12.0 11.9 11.8 13.2 15.0 14.0 13.3 13.8 14.0 13.4 12.6 13.2 12.7 12.0 12.5 11.5 11.2 12.0 11.4 10.3 12.2 10.2 9.8 9.4 10.7 7.5 5.4 0.8 -2.8 -9.9 -12.8 -19.9 20032003 11.4 12.3 12.7 12.6 12.5 13.9 15.6 14.8 14.1 14.6 14.8 14.3 13.6 14.2 13.8 13.1 13.7 12.7 12.6 13.4 12.9 12.0 13.9 12.2 12.0 11.8 13.3 10.8 9.3 6.1 4.1 0.0 1.2 4.6 36.6 20042004 11.5 12.3 12.7 12.6 12.6 13.9 15.6 14.8 14.1 14.6 14.8 14.3 13.6 14.2 13.8 13.2 13.7 12.8 12.7 13.5 13.0 12.2 13.9 12.4 12.3 12.1 13.4 11.2 10.0 7.3 5.8 2.8 4.4 7.9 25.1 14.7 20052005 11.4 12.2 12.6 12.5 12.4 13.7 15.3 14.5 13.9 14.4 14.5 14.0 13.4 13.9 13.5 12.9 13.4 12.6 12.4 13.1 12.7 11.9 13.5 12.0 11.9 11.7 12.8 10.8 9.7 7.3 6.0 3.5 5.0 7.7 18.9 11.0 7.4 20062006 11.5 12.3 12.7 12.6 12.6 13.8 15.4 14.6 14.0 14.4 14.6 14.1 13.5 14.0 13.6 13.1 13.5 12.7 12.6 13.3 12.9 12.1 13.7 12.3 12.2 12.0 13.1 11.3 10.3 8.2 7.2 5.2 6.8 9.4 18.2 12.7 11.7 16.2 20072007 11.3 12.1 12.4 12.3 12.3 13.5 15.0 14.2 13.6 14.0 14.2 13.7 13.1 13.6 13.2 12.7 13.1 12.3 12.2 12.8 12.4 11.6 13.0 11.7 11.6 11.4 12.4 10.6 9.7 7.8 6.8 5.0 6.4 8.4 15.2 10.4 9.0 9.8 3.7 20082008 9.7 10.4 10.7 10.6 10.5 11.6 12.9 12.1 11.5 11.9 11.9 11.4 10.7 11.1 10.6 10.0 10.3 9.5 9.2 9.6 9.1 8.3 9.4 8.0 7.6 7.2 7.8 5.9 4.7 2.6 1.3 -0.8 -0.5 0.2 4.0 -1.5 -5.2 -9.0 -19.5 -37.5 20092009 10.2 10.9 11.2 11.1 11.0 12.1 13.4 12.7 12.1 12.4 12.5 12.0 11.4 11.8 11.4 10.8 11.1 10.3 10.1 10.6 10.1 9.4 10.5 9.2 8.9 8.6 9.2 7.6 6.6 4.7 3.7 2.0 2.7 3.7 7.6 3.5 1.3 -0.1 -5.0 -9.1 32.2 20102010 10.4 11.1 11.4 11.3 11.2 12.3 13.6 12.9 12.3 12.7 12.7 12.3 11.7 12.1 11.7 11.2 11.5 10.7 10.5 11.0 10.6 9.9 10.9 9.7 9.5 9.3 9.9 8.4 7.5 5.9 5.0 3.6 4.3 5.5 9.1 5.7 4.3 3.7 0.8 -0.2 26.1 20.4 20112011 10.1 10.8 11.1 11.0 10.9 11.9 13.2 12.5 11.9 12.3 12.3 11.8 11.3 11.6 11.2 10.7 11.0 10.3 10.1 10.5 10.1 9.4 10.4 9.2 9.0 8.7 9.2 7.8 6.9 5.4 4.6 3.2 3.9 4.8 8.0 4.9 3.5 2.9 0.4 -0.3 16.4 9.3 -0.8 20122012 10.3 11.0 11.3 11.1 11.1 12.1 13.3 12.6 12.1 12.4 12.4 12.0 11.4 11.8 11.4 10.9 11.2 10.5 10.3 10.7 10.3 9.7 10.7 9.6 9.4 9.1 9.7 8.3 7.5 6.1 5.4 4.2 4.9 5.9 8.9 6.2 5.1 4.8 3.0 2.9 16.6 11.8 7.8 17.1

1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

1928

$3,925

2012

19281928 37.3 19291929 7.9 -15.3 19301930 -7.5 -24.1 -32.1 19311931 -19.5 -32.7 -40.0 -46.9 19321932 -17.3 -27.1 -30.7 -30.0 -7.7 19331933 -6.5 -13.5 -13.0 -5.5 26.1 72.2 19341934 -4.9 -10.6 -9.6 -2.9 18.8 34.7 5.4 19351935 0.4 -4.0 -2.0 5.4 25.2 38.6 24.3 46.7 19361936 3.8 0.3 2.7 10.0 27.3 38.0 28.1 41.3 36.1 19371937 -1.2 -4.8 -3.4 1.6 13.2 17.9 7.3 7.9 -7.5 -37.1 19381938 1.2 -1.8 -0.2 4.7 15.4 19.8 11.4 13.0 3.6 -9.6 29.9 19391939 1.2 -1.6 -0.1 4.2 13.4 16.8 9.5 10.3 2.8 -6.4 14.1 0.2 19401940 0.5 -2.0 -0.7 3.1 11.0 13.6 7.0 7.3 0.8 -6.5 6.7 -3.3 -6.7 19411941 -0.1 -2.6 -1.4 2.0 8.9 10.9 4.9 4.9 -0.8 -6.9 2.7 -5.1 -7.6 -8.6 19421942 1.0 -1.2 0.0 3.3 9.7 11.6 6.4 6.5 1.8 -3.0 5.7 0.4 0.5 4.2 18.8 19431943 2.8 0.8 2.1 5.4 11.6 13.5 8.9 9.3 5.3 1.5 9.9 6.3 7.9 13.3 26.1 33.8 19441944 4.1 2.3 3.6 6.7 12.6 14.5 10.3 10.8 7.5 4.3 12.1 9.4 11.4 16.4 26.1 30.0 26.2 19451945 6.0 4.4 5.8 8.9 14.7 16.6 12.9 13.6 10.7 8.2 15.8 13.9 16.3 21.6 30.6 34.7 35.2 44.8 19461946 5.3 3.8 5.0 7.9 13.1 14.8 11.2 11.8 9.0 6.6 13.1 11.1 12.8 16.4 22.1 23.0 19.6 16.4 -6.5 19471947 5.2 3.7 4.9 7.6 12.5 14.0 10.6 11.1 8.5 6.3 12.0 10.2 11.5 14.4 18.7 18.7 15.2 11.8 -1.8 3.1 19481948 5.0 3.6 4.7 7.2 11.7 13.1 9.9 10.3 7.9 5.8 10.9 9.2 10.3 12.6 16.0 15.5 12.1 8.9 -1.0 1.9 0.7 19491949 5.6 4.3 5.4 7.9 12.2 13.5 10.6 10.9 8.7 6.9 11.7 10.2 11.2 13.4 16.5 16.2 13.5 11.1 4.0 7.7 10.1 20.4 19501950 6.7 5.5 6.6 9.0 13.2 14.5 11.8 12.2 10.2 8.6 13.2 11.9 13.1 15.3 18.3 18.2 16.1 14.5 9.3 13.6 17.4 26.7 33.3 19511951 7.2 6.0 7.1 9.5 13.5 14.8 12.2 12.6 10.8 9.3 13.7 12.5 13.6 15.6 18.4 18.3 16.5 15.2 10.9 14.7 17.8 24.2 26.1 19.3 19521952 7.4 6.3 7.4 9.6 13.5 14.7 12.2 12.6 10.9 9.5 13.6 12.5 13.5 15.4 17.9 17.8 16.1 14.9 11.2 14.4 16.8 21.2 21.5 16.0 12.9 19531953 7.1 6.0 7.0 9.2 12.8 13.9 11.6 11.9 10.2 8.9 12.7 11.6 12.5 14.1 16.2 16.0 14.3 13.1 9.6 12.1 13.7 16.5 15.6 10.2 5.9 -0.6 19541954 8.5 7.5 8.6 10.7 14.3 15.4 13.2 13.7 12.1 10.9 14.7 13.8 14.8 16.5 18.7 18.7 17.4 16.5 13.8 16.6 18.7 21.9 22.3 19.6 19.7 23.3 53.1 19551955 9.0 8.1 9.1 11.2 14.7 15.8 13.7 14.1 12.7 11.6 15.2 14.3 15.3 16.9 19.0 19.0 17.9 17.1 14.7 17.3 19.2 22.1 22.4 20.3 20.6 23.2 37.3 23.1 19561956 9.0 8.1 9.1 11.1 14.4 15.4 13.4 13.8 12.5 11.4 14.8 14.0 14.9 16.4 18.3 18.2 17.1 16.4 14.1 16.4 17.9 20.3 20.3 18.2 18.0 19.4 26.9 15.5 8.4 19571957 8.2 7.3 8.3 10.1 13.3 14.2 12.3 12.6 11.2 10.2 13.3 12.5 13.2 14.5 16.1 16.0 14.8 13.9 11.7 13.5 14.6 16.3 15.8 13.4 12.5 12.4 15.9 5.7 -2.1 -11.5 19581958 9.4 8.5 9.5 11.3 14.4 15.4 13.6 13.9 12.7 11.7 14.8 14.1 14.9 16.2 17.9 17.8 16.8 16.1 14.2 16.1 17.4 19.2 19.1 17.4 17.1 17.8 21.9 15.2 12.7 14.9 49.1 19591959 9.5 8.7 9.6 11.4 14.4 15.3 13.5 13.9 12.7 11.8 14.7 14.0 14.8 16.0 17.6 17.5 16.6 16.0 14.1 15.9 17.0 18.6 18.5 16.9 16.6 17.2 20.4 14.8 12.8 14.3 29.9 13.3 19601960 9.2 8.4 9.3 11.0 13.9 14.7 13.0 13.3 12.2 11.3 14.1 13.4 14.1 15.2 16.6 16.5 15.6 14.9 13.2 14.7 15.7 17.0 16.7 15.2 14.7 14.9 17.4 12.3 10.2 10.7 19.3 6.7 0.5 19611961 9.7 9.0 9.8 11.5 14.3 15.2 13.5 13.8 12.7 11.9 14.6 14.0 14.6 15.8 17.2 17.1 16.2 15.6 14.0 15.5 16.5 17.8 17.6 16.2 15.9 16.3 18.6 14.3 13.0 13.9 21.3 13.3 13.3 27.6 19621962 9.1 8.3 9.1 10.8 13.4 14.2 12.6 12.9 11.8 10.9 13.5 12.8 13.4 14.4 15.7 15.5 14.6 14.0 12.4 13.7 14.5 15.5 15.2 13.8 13.3 13.3 15.0 10.9 9.3 9.4 14.2 6.8 4.8 7.0 -10.3 19631963 9.4 8.7 9.5 11.1 13.6 14.4 12.9 13.1 12.1 11.3 13.8 13.2 13.7 14.7 15.9 15.8 14.9 14.4 12.9 14.1 14.8 15.9 15.5 14.3 13.9 14.0 15.5 12.0 10.7 11.0 15.3 9.5 8.6 11.4 4.1 20.7 19641964 9.6 8.9 9.7 11.2 13.7 14.5 13.0 13.3 12.3 11.5 13.9 13.3 13.9 14.8 15.9 15.8 15.0 14.5 13.1 14.3 15.0 15.9 15.6 14.5 14.1 14.2 15.7 12.5 11.3 11.7 15.5 10.7 10.2 12.8 8.2 18.8 17.0 19651965 9.8 9.2 9.9 11.4 13.9 14.6 13.2 13.5 12.5 11.7 14.1 13.5 14.1 15.0 16.1 16.0 15.2 14.7 13.4 14.5 15.2 16.1 15.9 14.8 14.5 14.6 16.0 13.1 12.1 12.5 16.0 11.9 11.7 14.0 10.9 19.0 18.1 19.3 19661966 9.3 8.7 9.4 10.9 13.2 13.9 12.5 12.7 11.8 11.0 13.2 12.7 13.2 14.0 15.0 14.9 14.1 13.6 12.3 13.3 13.9 14.6 14.3 13.2 12.8 12.8 13.9 11.2 10.1 10.3 13.0 9.2 8.6 10.0 6.8 11.6 8.7 4.8 -7.9 19671967 9.9 9.3 10.0 11.5 13.8 14.5 13.1 13.3 12.4 11.7 13.9 13.4 13.9 14.7 15.7 15.6 14.9 14.4 13.2 14.3 14.8 15.6 15.4 14.4 14.1 14.2 15.3 12.9 12.0 12.4 15.1 11.8 11.7 13.3 11.1 16.0 14.8 14.1 11.6 35.3 19681968 10.1 9.5 10.3 11.7 13.9 14.6 13.3 13.5 12.7 12.0 14.1 13.6 14.1 14.9 15.9 15.8 15.1 14.7 13.5 14.5 15.1 15.9 15.6 14.7 14.5 14.6 15.6 13.3 12.6 13.0 15.5 12.6 12.6 14.2 12.4 16.7 15.9 15.6 14.4 27.4 20.01969 9.5 8.9 9.5 10.9 13.1 13.7 12.4 12.6 11.7 11.1 13.0 12.5 13.0 13.7 14.6 14.5 13.8 13.3 12.2 13.0 13.5 14.2 13.9 12.9 12.6 12.6 13.4 11.2 10.4 10.6 12.6 9.8 9.4 10.5 8.5 11.5 10.0 8.7 6.2 11.4 1.01970 9.2 8.6 9.3 10.6 12.7 13.3 12.0 12.2 11.4 10.7 12.6 12.1 12.5 13.2 14.1 13.9 13.2 12.7 11.6 12.4 12.9 13.5 13.1 12.2 11.8 11.8 12.6 10.4 9.6 9.7 11.5 8.9 8.5 9.3 7.5 9.9 8.5 7.1 4.8 8.2 0.51971 9.4 8.8 9.5 10.7 12.8 13.4 12.1 12.3 11.5 10.9 12.7 12.2 12.6 13.3 14.1 14.0 13.3 12.9 11.8 12.6 13.0 13.6 13.3 12.4 12.1 12.0 12.8 10.8 10.1 10.2 11.9 9.5 9.2 10.0 8.4 10.7 9.5 8.4 6.7 9.9 4.31972 9.5 8.9 9.6 10.8 12.8 13.4 12.2 12.4 11.6 10.9 12.7 12.3 12.7 13.3 14.1 14.0 13.3 12.9 11.9 12.6 13.0 13.6 13.3 12.5 12.1 12.1 12.8 10.9 10.3 10.4 12.0 9.7 9.5 10.3 8.8 10.9 9.9 9.0 7.6 10.5 6.11973 8.7 8.1 8.7 9.9 11.8 12.4 11.2 11.3 10.5 9.9 11.6 11.1 11.5 12.1 12.8 12.6 12.0 11.5 10.5 11.1 11.5 11.9 11.6 10.7 10.3 10.2 10.8 8.9 8.2 8.2 9.6 7.3 6.9 7.4 5.9 7.5 6.3 5.1 3.5 5.2 0.91974 7.8 7.2 7.8 8.9 10.8 11.2 10.1 10.2 9.4 8.7 10.4 9.9 10.2 10.7 11.3 11.1 10.4 10.0 8.9 9.5 9.8 10.1 9.7 8.8 8.4 8.2 8.7 6.8 6.0 5.9 7.0 4.8 4.3 4.5 2.9 4.1 2.7 1.4 -0.4 0.6 -3.61975 8.4 7.9 8.4 9.6 11.4 11.9 10.7 10.9 10.1 9.5 11.1 10.7 11.0 11.5 12.2 12.0 11.3 10.9 9.9 10.5 10.8 11.2 10.9 10.0 9.7 9.5 10.0 8.3 7.6 7.6 8.7 6.7 6.4 6.8 5.4 6.7 5.6 4.6 3.3 4.6 1.31976 8.9 8.4 8.9 10.1 11.8 12.3 11.2 11.4 10.6 10.1 11.6 11.2 11.5 12.1 12.7 12.5 12.0 11.5 10.6 11.2 11.5 11.9 11.6 10.9 10.5 10.4 10.9 9.3 8.7 8.7 9.9 8.1 7.8 8.3 7.1 8.4 7.5 6.8 5.7 7.2 4.41977 8.7 8.2 8.8 9.9 11.6 12.1 11.0 11.1 10.4 9.8 11.4 10.9 11.2 11.8 12.4 12.2 11.6 11.2 10.3 10.9 11.2 11.6 11.3 10.5 10.2 10.1 10.5 9.0 8.4 8.4 9.5 7.7 7.4 7.9 6.7 8.0 7.1 6.4 5.4 6.7 4.21978 8.8 8.3 8.8 9.9 11.6 12.1 11.0 11.1 10.4 9.9 11.4 10.9 11.2 11.7 12.4 12.2 11.6 11.2 10.3 10.9 11.2 11.5 11.2 10.5 10.2 10.1 10.6 9.1 8.5 8.5 9.6 7.9 7.6 8.0 7.0 8.1 7.4 6.7 5.8 7.0 4.81979 9.1 8.6 9.2 10.2 11.9 12.4 11.3 11.5 10.8 10.3 11.7 11.3 11.6 12.1 12.7 12.6 12.0 11.7 10.8 11.4 11.6 12.0 11.7 11.1 10.8 10.7 11.2 9.8 9.2 9.3 10.3 8.8 8.5 9.0 8.0 9.2 8.5 8.0 7.2 8.5 6.51980 9.5 9.0 9.6 10.6 12.3 12.7 11.7 11.9 11.2 10.7 12.2 11.8 12.1 12.6 13.2 13.0 12.5 12.2 11.4 11.9 12.2 12.6 12.3 11.7 11.4 11.4 11.9 10.5 10.1 10.1 11.2 9.7 9.5 10.0 9.2 10.4 9.8 9.3 8.7 10.0 8.31981 9.3 8.9 9.4 10.4 12.0 12.5 11.5 11.6 11.0 10.5 11.9 11.5 11.8 12.3 12.9 12.7 12.2 11.8 11.0 11.6 11.8 12.2 12.0 11.3 11.1 11.0 11.4 10.1 9.7 9.7 10.7 9.3 9.1 9.5 8.7 9.8 9.2 8.8 8.2 9.3 7.71982 9.6 9.1 9.6 10.7 12.3 12.7 11.7 11.9 11.2 10.7 12.1 11.8 12.0 12.5 13.1 13.0 12.5 12.1 11.4 11.9 12.2 12.5 12.3 11.7 11.5 11.4 11.9 10.6 10.2 10.2 11.2 9.9 9.7 10.2 9.4 10.5 10.0 9.6 9.0 10.2 8.71983 9.9 9.4 9.9 10.9 12.5 13.0 12.0 12.2 11.5 11.1 12.4 12.1 12.4 12.9 13.4 13.3 12.8 12.5 11.8 12.3 12.6 12.9 12.7 12.1 11.9 11.9 12.3 11.1 10.7 10.8 11.8 10.5 10.4 10.8 10.1 11.2 10.8 10.4 10.0 11.1 9.81984 9.7 9.3 9.8 10.8 12.3 12.8 11.8 12.0 11.4 10.9 12.2 11.9 12.2 12.6 13.2 13.0 12.6 12.3 11.5 12.0 12.3 12.6 12.4 11.9 11.6 11.6 12.0 10.9 10.5 10.5 11.5 10.2 10.1 10.5 9.8 10.8 10.4 10.1 9.6 10.7 9.41985 10.1 9.7 10.2 11.2 12.7 13.1 12.2 12.3 11.7 11.3 12.6 12.3 12.6 13.0 13.6 13.5 13.0 12.7 12.0 12.5 12.8 13.1 12.9 12.4 12.2 12.2 12.6 11.5 11.1 11.2 12.1 11.0 10.9 11.3 10.7 11.7 11.3 11.0 10.6 11.7 10.51986 10.2 9.8 10.3 11.2 12.7 13.2 12.3 12.4 11.8 11.4 12.7 12.3 12.6 13.1 13.6 13.5 13.1 12.8 12.1 12.6 12.8 13.2 13.0 12.5 12.3 12.3 12.7 11.6 11.3 11.4 12.2 11.1 11.0 11.5 10.9 11.8 11.5 11.2 10.9 11.9 10.81987 10.0 9.6 10.1 11.0 12.5 12.9 12.0 12.2 11.6 11.1 12.4 12.1 12.3 12.8 13.3 13.2 12.8 12.5 11.8 12.3 12.5 12.8 12.6 12.1 11.9 11.9 12.3 11.3 10.9 11.0 11.8 10.7 10.6 11.0 10.4 11.4 11.0 10.7 10.4 11.3 10.21988 10.2 9.8 10.3 11.2 12.6 13.0 12.2 12.3 11.7 11.3 12.6 12.3 12.5 13.0 13.5 13.3 12.9 12.6 12.0 12.5 12.7 13.0 12.8 12.3 12.2 12.1 12.5 11.5 11.2 11.3 12.1 11.0 11.0 11.4 10.8 11.7 11.4 11.1 10.8 11.7 10.71989 10.4 10.0 10.5 11.4 12.9 13.3 12.4 12.5 12.0 11.6 12.8 12.5 12.8 13.2 13.7 13.6 13.2 12.9 12.3 12.8 13.0 13.3 13.2 12.7 12.5 12.5 12.9 11.9 11.6 11.7 12.5 11.5 11.4 11.8 11.3 12.2 11.9 11.7 11.4 12.3 11.41990 10.1 9.7 10.1 11.0 12.4 12.8 12.0 12.1 11.6 11.2 12.4 12.0 12.3 12.7 13.2 13.1 12.7 12.4 11.8 12.2 12.4 12.7 12.5 12.1 11.9 11.9 12.2 11.3 10.9 11.0 11.8 10.8 10.7 11.1 10.5 11.4 11.0 10.8 10.5 11.3 10.41991 10.4 10.1 10.5 11.4 12.8 13.2 12.4 12.5 12.0 11.6 12.8 12.5 12.7 13.1 13.6 13.5 13.1 12.9 12.2 12.7 12.9 13.2 13.1 12.6 12.4 12.4 12.8 11.9 11.6 11.7 12.4 11.5 11.4 11.8 11.3 12.1 11.8 11.7 11.4 12.2 11.41992 10.5 10.1 10.6 11.4 12.8 13.2 12.4 12.5 12.0 11.6 12.8 12.5 12.7 13.1 13.6 13.5 13.1 12.9 12.3 12.7 12.9 13.2 13.1 12.6 12.5 12.5 12.8 11.9 11.6 11.7 12.5 11.5 11.5 11.9 11.4 12.2 11.9 11.7 11.4 12.3 11.41993 10.5 10.2 10.6 11.5 12.8 13.2 12.4 12.5 12.0 11.6 12.8 12.5 12.7 13.1 13.6 13.5 13.1 12.9 12.3 12.7 13.0 13.3 13.1 12.7 12.5 12.5 12.8 12.0 11.7 11.8 12.5 11.6 11.6 11.9 11.5 12.2 12.0 11.8 11.5 12.3 11.51994 10.4 10.0 10.5 11.3 12.6 13.0 12.2 12.3 11.8 11.4 12.6 12.3 12.5 12.9 13.3 13.2 12.9 12.6 12.0 12.5 12.7 12.9 12.8 12.4 12.2 12.2 12.5 11.6 11.4 11.5 12.1 11.3 11.2 11.5 11.1 11.8 11.6 11.4 11.1 11.9 11.11995 10.7 10.4 10.8 11.6 12.9 13.3 12.5 12.7 12.2 11.8 12.9 12.6 12.9 13.3 13.7 13.6 13.3 13.0 12.5 12.9 13.1 13.4 13.2 12.8 12.7 12.7 13.0 12.2 11.9 12.0 12.7 11.9 11.8 12.2 11.7 12.5 12.2 12.1 11.8 12.6 11.91996 10.9 10.5 10.9 11.8 13.1 13.4 12.7 12.8 12.3 12.0 13.0 12.8 13.0 13.4 13.8 13.8 13.4 13.2 12.6 13.0 13.3 13.5 13.4 13.0 12.9 12.9 13.2 12.4 12.1 12.2 12.9 12.1 12.1 12.4 12.0 12.7 12.5 12.4 12.1 12.9 12.21997 11.1 10.8 11.2 12.0 13.3 13.7 12.9 13.1 12.6 12.2 13.3 13.1 13.3 13.7 14.1 14.1 13.7 13.5 13.0 13.4 13.6 13.9 13.7 13.4 13.2 13.2 13.6 12.8 12.6 12.7 13.3 12.6 12.5 12.9 12.5 13.2 13.0 12.9 12.7 13.4 12.81998 11.2 10.9 11.3 12.1 13.4 13.7 13.0 13.1 12.7 12.3 13.4 13.1 13.4 13.7 14.2 14.1 13.8 13.5 13.0 13.4 13.7 13.9 13.8 13.4 13.3 13.3 13.6 12.9 12.6 12.8 13.4 12.6 12.6 13.0 12.6 13.3 13.1 13.0 12.8 13.5 12.91999 11.3 11.0 11.4 12.2 13.5 13.8 13.1 13.3 12.8 12.5 13.5 13.3 13.5 13.9 14.3 14.2 13.9 13.7 13.2 13.6 13.8 14.1 14.0 13.6 13.5 13.5 13.8 13.1 12.9 13.0 13.6 12.9 12.9 13.2 12.8 13.5 13.4 13.3 13.1 13.8 13.22000 11.1 10.8 11.2 12.0 13.2 13.6 12.9 13.0 12.5 12.2 13.2 13.0 13.2 13.6 14.0 13.9 13.6 13.4 12.9 13.3 13.5 13.7 13.6 13.2 13.1 13.1 13.4 12.7 12.5 12.6 13.2 12.4 12.4 12.7 12.4 13.1 12.9 12.7 12.6 13.2 12.62001 10.9 10.6 11.0 11.7 12.9 13.3 12.6 12.7 12.2 11.9 12.9 12.7 12.9 13.2 13.6 13.5 13.2 13.0 12.5 12.9 13.1 13.3 13.2 12.8 12.7 12.7 13.0 12.3 12.0 12.1 12.7 12.0 12.0 12.3 11.9 12.5 12.3 12.2 12.0 12.7 12.02002 10.4 10.1 10.5 11.2 12.4 12.7 12.0 12.1 11.7 11.3 12.3 12.1 12.3 12.6 13.0 12.9 12.6 12.3 11.8 12.2 12.4 12.6 12.5 12.1 12.0 11.9 12.2 11.5 11.2 11.3 11.9 11.2 11.1 11.4 11.0 11.6 11.4 11.2 11.0 11.6 11.02003 10.7 10.4 10.8 11.5 12.7 13.0 12.3 12.4 12.0 11.7 12.6 12.4 12.6 12.9 13.3 13.2 12.9 12.7 12.2 12.6 12.8 13.0 12.9 12.5 12.4 12.4 12.6 11.9 11.7 11.8 12.4 11.7 11.6 11.9 11.5 12.1 11.9 11.8 11.6 12.2 11.62004 10.8 10.5 10.8 11.6 12.7 13.0 12.4 12.5 12.0 11.7 12.7 12.4 12.6 13.0 13.3 13.3 13.0 12.7 12.3 12.6 12.8 13.0 12.9 12.5 12.4 12.4 12.7 12.0 11.8 11.9 12.4 11.7 11.7 12.0 11.6 12.2 12.0 11.9 11.7 12.3 11.72005 10.7 10.4 10.8 11.5 12.6 13.0 12.3 12.4 12.0 11.7 12.6 12.4 12.6 12.9 13.3 13.2 12.9 12.7 12.2 12.5 12.7 12.9 12.8 12.5 12.3 12.3 12.6 11.9 11.7 11.8 12.3 11.6 11.6 11.9 11.5 12.1 11.9 11.8 11.6 12.1 11.62006 10.8 10.5 10.9 11.6 12.7 13.0 12.4 12.5 12.0 11.7 12.7 12.4 12.6 12.9 13.3 13.2 12.9 12.7 12.2 12.6 12.8 13.0 12.9 12.5 12.4 12.4 12.7 12.0 11.8 11.9 12.4 11.7 11.7 12.0 11.6 12.2 12.0 11.9 11.7 12.2 11.72007 10.7 10.4 10.8 11.5 12.6 12.9 12.2 12.3 11.9 11.6 12.5 12.3 12.5 12.8 13.1 13.1 12.8 12.6 12.1 12.4 12.6 12.8 12.7 12.4 12.2 12.2 12.5 11.8 11.6 11.7 12.2 11.6 11.5 11.8 11.4 12.0 11.8 11.7 11.5 12.0 11.52008 9.9 9.6 10.0 10.7 11.7 12.0 11.4 11.4 11.0 10.7 11.6 11.3 11.5 11.8 12.1 12.0 11.7 11.5 11.1 11.4 11.5 11.7 11.6 11.2 11.1 11.1 11.3 10.6 10.4 10.4 10.9 10.3 10.2 10.4 10.1 10.6 10.4 10.2 10.0 10.5 9.92009 10.2 9.9 10.2 10.9 12.0 12.2 11.6 11.7 11.3 11.0 11.9 11.6 11.8 12.1 12.4 12.3 12.0 11.8 11.4 11.7 11.8 12.0 11.9 11.6 11.4 11.4 11.6 11.0 10.8 10.8 11.3 10.7 10.6 10.8 10.5 11.0 10.8 10.7 10.5 10.9 10.42010 10.3 10.0 10.3 11.0 12.1 12.3 11.7 11.8 11.4 11.1 12.0 11.7 11.9 12.2 12.5 12.4 12.1 11.9 11.5 11.8 12.0 12.1 12.0 11.7 11.6 11.5 11.8 11.1 10.9 11.0 11.5 10.8 10.8 11.0 10.7 11.2 11.0 10.9 10.7 11.1 10.62011 10.1 9.9 10.2 10.9 11.9 12.2 11.5 11.6 11.2 10.9 11.8 11.6 11.7 12.0 12.3 12.2 11.9 11.7 11.3 11.6 11.7 11.9 11.8 11.5 11.4 11.3 11.5 10.9 10.7 10.8 11.2 10.6 10.6 10.8 10.5 10.9 10.7 10.6 10.4 10.9 10.42012 10.2 9.9 10.3 10.9 12.0 12.2 11.6 11.7 11.3 11.0 11.9 11.6 11.8 12.1 12.4 12.3 12.0 11.8 11.4 11.7 11.8 12.0 11.9 11.6 11.4 11.4 11.6 11.0 10.8 10.9 11.3 10.7 10.7 10.9 10.6 11.0 10.9 10.7 10.6 11.0 10.5

1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968

19681968 14.2 19691969 1.0 -10.6 19701970 1.0 -5.1 0.9 19711971 4.6 1.5 8.2 16.0 19721972 6.9 5.1 11.0 16.4 16.8 19731973 2.3 0.1 3.0 3.7 -2.0 -17.8 19741974 -2.6 -5.2 -4.1 -5.2 -11.4 -22.9 -27.7 19751975 1.7 0.1 2.0 2.2 -1.0 -6.3 -0.1 38.1 19761976 4.3 3.1 5.2 5.9 4.0 1.1 8.2 32.4 27.0 19771977 3.5 2.4 4.1 4.6 2.8 0.2 5.3 19.4 10.9 -3.1 19781978 3.9 2.9 4.6 5.1 3.6 1.5 5.9 16.5 10.0 2.4 8.2 19791979 5.4 4.7 6.4 7.0 5.9 4.4 8.7 17.9 13.3 9.1 15.7 23.7 19801980 7.4 6.8 8.6 9.4 8.6 7.7 11.9 20.3 17.1 14.7 21.3 28.4 33.4 19811981 6.6 6.0 7.5 8.1 7.4 6.4 9.9 16.6 13.4 10.8 14.6 16.8 13.5 -3.3 19821982 7.5 7.0 8.5 9.2 8.6 7.8 11.1 17.2 14.5 12.5 15.9 17.9 16.1 8.3 21.3 19831983 8.4 8.0 9.5 10.2 9.7 9.1 12.2 17.9 15.5 14.0 17.1 19.0 17.8 13.1 22.3 23.2 19841984 8.2 7.8 9.2 9.8 9.4 8.8 11.6 16.5 14.3 12.8 15.3 16.5 15.1 11.0 16.2 13.8 5.0 19851985 9.4 9.2 10.5 11.2 10.9 10.4 13.2 17.9 16.0 14.8 17.3 18.7 17.8 15.0 20.1 19.6 17.9 32.4 19861986 9.8 9.6 10.9 11.5 11.2 10.8 13.4 17.8 16.1 15.0 17.2 18.4 17.7 15.2 19.4 18.9 17.5 24.2 16.6 19871987 9.4 9.1 10.4 10.9 10.6 10.2 12.6 16.5 14.8 13.8 15.6 16.4 15.6 13.2 16.3 15.3 13.4 16.3 9.0 2.0 19881988 9.8 9.6 10.7 11.3 11.0 10.7 12.9 16.6 15.0 14.1 15.8 16.6 15.8 13.8 16.5 15.7 14.3 16.7 11.9 9.6 17.9 19891989 10.6 10.4 11.6 12.2 12.0 11.7 13.8 17.3 16.0 15.2 16.8 17.7 17.1 15.4 18.0 17.5 16.6 19.0 15.9 15.7 23.3 28.9 19901990 9.8 9.6 10.7 11.2 10.9 10.6 12.6 15.7 14.4 13.5 14.9 15.5 14.8 13.0 15.0 14.3 13.0 14.4 11.2 9.8 12.6 10.1 -6.0 19911991 10.7 10.6 11.7 12.2 12.0 11.8 13.7 16.8 15.5 14.8 16.2 16.9 16.3 14.9 16.9 16.4 15.5 17.1 14.8 14.4 17.8 17.7 12.5 34.7 19921992 10.7 10.6 11.6 12.1 11.9 11.7 13.5 16.4 15.2 14.5 15.8 16.3 15.8 14.4 16.2 15.7 14.9 16.2 14.1 13.7 16.2 15.7 11.6 21.7 9.9 19931993 10.7 10.6 11.6 12.1 11.9 11.7 13.4 16.1 15.0 14.3 15.5 16.0 15.5 14.2 15.8 15.3 14.5 15.6 13.7 13.3 15.3 14.8 11.5 18.1 10.6 11.3 19941994 10.3 10.2 11.1 11.5 11.3 11.1 12.7 15.2 14.1 13.5 14.5 14.9 14.3 13.1 14.5 13.9 13.1 14.0 12.1 11.5 13.0 12.2 9.1 13.2 6.9 5.4 -0.2 19951995 11.1 11.0 12.0 12.4 12.3 12.1 13.7 16.2 15.2 14.6 15.6 16.1 15.6 14.5 15.9 15.5 14.9 15.9 14.3 14.1 15.7 15.4 13.3 17.6 13.6 14.9 16.8 36.6 19961996 11.5 11.4 12.3 12.8 12.6 12.5 14.0 16.4 15.5 14.9 15.9 16.4 16.0 15.0 16.3 15.9 15.4 16.3 14.9 14.8 16.3 16.1 14.4 18.2 15.2 16.5 18.3 28.8 21.4 19971997 12.1 12.0 12.9 13.4 13.3 13.2 14.7 17.0 16.1 15.6 16.7 17.1 16.8 15.9 17.2 16.9 16.5 17.4 16.2 16.2 17.7 17.7 16.4 20.0 17.7 19.3 21.4 29.6 26.3 31.3 19981998 12.5 12.4 13.3 13.8 13.7 13.6 15.1 17.3 16.5 16.0 17.0 17.5 17.2 16.3 17.6 17.4 17.0 17.9 16.8 16.9 18.3 18.4 17.2 20.5 18.6 20.1 22.0 28.3 25.6 27.7 24.3 19991999 12.8 12.8 13.7 14.1 14.1 14.0 15.4 17.6 16.8 16.4 17.4 17.8 17.5 16.7 18.0 17.8 17.5 18.3 17.4 17.5 18.8 18.9 18.0 21.0 19.4 20.8 22.5 27.6 25.4 26.8 24.6 24.9 20002000 12.0 12.0 12.8 13.2 13.1 13.0 14.3 16.4 15.6 15.1 16.0 16.3 16.0 15.2 16.3 16.0 15.6 16.3 15.3 15.2 16.2 16.1 15.0 17.4 15.6 16.3 17.0 20.2 17.2 16.1 11.4 5.5 -10.8 20012001 11.3 11.2 12.0 12.3 12.2 12.1 13.3 15.2 14.4 13.9 14.7 15.0 14.6 13.8 14.7 14.4 13.9 14.5 13.4 13.2 14.1 13.8 12.6 14.5 12.6 12.9 13.1 15.2 11.9 10.1 5.4 -0.3 -10.9 -10.9 20022002 10.2 10.1 10.8 11.1 10.9 10.8 11.9 13.7 12.8 12.3 13.0 13.2 12.8 11.9 12.7 12.3 11.7 12.1 11.0 10.7 11.3 10.8 9.5 10.9 9.0 8.9 8.7 9.8 6.4 4.1 -0.6 -6.0 -14.5 -16.3 -21.3 20032003 10.7 10.6 11.3 11.7 11.5 11.4 12.5 14.2 13.5 13.0 13.7 13.9 13.5 12.7 13.5 13.1 12.6 13.1 12.1 11.8 12.5 12.1 11.0 12.4 10.7 10.8 10.8 12.1 9.3 7.7 4.2 0.6 -4.7 -2.6 1.8 31.8 20042004 10.8 10.7 11.4 11.7 11.5 11.4 12.5 14.2 13.4 12.9 13.6 13.8 13.4 12.7 13.4 13.1 12.6 13.0 12.1 11.8 12.4 12.1 11.0 12.4 10.8 10.9 10.9 12.0 9.6 8.2 5.2 2.4 -1.6 0.8 5.1 21.4 11.9 20052005 10.6 10.6 11.2 11.5 11.4 11.2 12.3 13.9 13.2 12.7 13.3 13.5 13.1 12.4 13.1 12.8 12.3 12.7 11.8 11.5 12.1 11.7 10.7 12.0 10.5 10.5 10.5 11.5 9.3 8.0 5.4 2.9 -0.4 1.9 5.4 16.1 9.0 6.2 20062006 10.8 10.7 11.3 11.6 11.5 11.3 12.4 13.9 13.2 12.8 13.4 13.6 13.2 12.5 13.2 12.9 12.4 12.8 11.9 11.7 12.2 11.9 11.0 12.2 10.8 10.9 10.8 11.8 9.8 8.7 6.4 4.4 1.8 4.0 7.3 15.9 11.1 10.7 15.4 20072007 10.6 10.5 11.2 11.5 11.3 11.2 12.2 13.7 13.0 12.6 13.1 13.3 12.9 12.2 12.9 12.6 12.1 12.5 11.6 11.4 11.9 11.6 10.7 11.8 10.5 10.5 10.5 11.3 9.4 8.4 6.3 4.5 2.2 4.2 7.0 13.8 9.7 8.9 10.3 5.5 20082008 9.1 9.0 9.6 9.8 9.6 9.5 10.3 11.7 11.0 10.5 11.0 11.1 10.7 10.0 10.5 10.1 9.6 9.8 8.9 8.6 8.9 8.5 7.5 8.3 6.9 6.7 6.4 6.9 4.9 3.6 1.4 -0.6 -3.1 -2.1 -0.7 3.2 -1.8 -4.9 -8.3 -18.3 -36.7 20092009 9.6 9.5 10.0 10.3 10.1 9.9 10.8 12.2 11.5 11.1 11.5 11.7 11.3 10.6 11.1 10.7 10.3 10.5 9.7 9.4 9.7 9.4 8.5 9.3 8.0 7.9 7.7 8.3 6.5 5.4 3.5 1.8 -0.3 1.0 2.6 6.5 2.8 1.1 -0.1 -4.8 -9.6 29.1 20102010 9.8 9.7 10.2 10.4 10.3 10.1 11.0 12.3 11.7 11.3 11.7 11.8 11.5 10.8 11.3 11.0 10.6 10.8 10.0 9.7 10.1 9.7 8.9 9.7 8.5 8.5 8.3 8.8 7.2 6.3 4.5 3.0 1.3 2.6 4.2 7.9 4.8 3.7 3.2 0.4 -1.2 23.3 17.8 20112011 9.6 9.4 10.0 10.2 10.1 9.9 10.7 12.0 11.4 11.0 11.4 11.5 11.1 10.5 11.0 10.6 10.2 10.4 9.6 9.4 9.7 9.3 8.5 9.3 8.1 8.0 7.9 8.4 6.8 5.9 4.3 2.9 1.2 2.4 3.9 7.1 4.4 3.3 2.9 0.5 -0.7 15.4 9.1 1.0 20122012 9.7 9.6 10.1 10.3 10.2 10.0 10.8 12.1 11.5 11.1 11.5 11.6 11.2 10.6 11.1 10.8 10.4 10.6 9.8 9.6 9.9 9.6 8.8 9.5 8.5 8.4 8.2 8.7 7.3 6.5 5.0 3.7 2.2 3.4 4.8 7.9 5.5 4.7 4.5 2.8 2.3 15.3 11.0 7.8 15.1

1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

Page 10: Dfa matrix book us_2013 - copy

DIMENSIONAL FUND ADVISORS MATRIX BOOK 201316 17

DImENSIONAL US ADjUSTED mARKET 2 INDEX

1928–2012: Total Returns (%)

index data compiled by Dimensional.

19691969 -17.9 19701970 -9.5 -0.2 19711971 -1.6 7.7 16.2 19721972 1.4 8.8 13.7 11.2 19731973 -3.8 0.1 0.2 -7.0 -22.2 19741974 -7.7 -5.6 -6.8 -13.5 -23.7 -25.1 19751975 -1.4 1.6 2.0 -1.3 -5.1 4.8 46.6 19761976 2.9 6.3 7.4 5.7 4.4 15.2 42.8 39.1 19771977 3.1 6.1 7.0 5.6 4.5 12.5 28.8 20.7 4.7 19781978 4.0 6.8 7.7 6.5 5.7 12.4 24.4 17.8 8.4 12.2 19791979 6.1 8.9 10.0 9.2 8.9 15.2 25.6 20.8 15.2 20.9 30.3 19801980 8.0 10.8 11.9 11.5 11.5 17.4 26.5 22.8 19.1 24.3 30.8 31.3 19811981 7.6 10.1 11.1 10.6 10.5 15.4 22.8 19.2 15.6 18.5 20.6 16.1 2.7 19821982 8.7 11.1 12.1 11.8 11.8 16.4 23.0 19.9 17.0 19.7 21.6 18.8 13.0 24.4 19831983 10.0 12.3 13.4 13.1 13.3 17.7 23.7 21.1 18.7 21.3 23.2 21.4 18.3 27.0 29.7 19841984 9.6 11.7 12.6 12.4 12.5 16.3 21.5 19.0 16.7 18.5 19.6 17.6 14.4 18.6 15.7 3.3 19851985 10.8 12.9 13.8 13.6 13.8 17.5 22.4 20.2 18.3 20.1 21.2 19.8 17.6 21.7 20.8 16.5 31.5 19861986 11.0 13.0 13.9 13.7 13.9 17.3 21.7 19.7 17.9 19.5 20.4 19.0 17.1 20.2 19.2 15.9 22.8 14.7 19871987 10.4 12.2 13.0 12.8 12.9 15.9 19.9 17.9 16.1 17.3 17.9 16.4 14.5 16.5 15.0 11.6 14.6 6.9 -0.3 19881988 10.9 12.7 13.5 13.3 13.4 16.3 20.0 18.2 16.6 17.8 18.3 17.1 15.4 17.3 16.2 13.7 16.5 11.8 10.4 22.3 19891989 11.5 13.3 14.0 13.9 14.1 16.8 20.3 18.6 17.2 18.3 18.9 17.8 16.4 18.2 17.4 15.4 18.0 14.9 14.9 23.4 24.5 19901990 10.3 11.9 12.5 12.4 12.4 14.9 18.0 16.3 14.8 15.6 15.9 14.7 13.2 14.4 13.2 11.0 12.4 8.9 7.5 10.2 4.6 -12.1 19911991 11.3 12.9 13.6 13.4 13.5 16.0 19.0 17.4 16.1 17.0 17.3 16.3 15.1 16.4 15.5 13.8 15.4 13.0 12.6 16.1 14.1 9.2 35.7 19921992 11.5 13.0 13.7 13.5 13.7 16.0 18.8 17.3 16.1 16.9 17.2 16.3 15.1 16.3 15.5 14.1 15.5 13.4 13.2 16.1 14.6 11.4 25.4 15.9 19931993 11.7 13.2 13.8 13.7 13.8 16.0 18.7 17.3 16.1 16.9 17.2 16.3 15.3 16.4 15.7 14.3 15.6 13.8 13.7 16.2 15.0 12.7 22.5 16.3 16.8 19941994 11.2 12.6 13.2 13.0 13.1 15.2 17.7 16.3 15.2 15.8 16.0 15.1 14.1 15.0 14.2 12.9 14.0 12.2 11.8 13.7 12.3 10.0 16.4 10.6 8.0 -0.2 19951995 12.1 13.4 14.0 13.9 14.0 16.0 18.4 17.2 16.1 16.8 17.1 16.3 15.4 16.3 15.7 14.6 15.7 14.3 14.2 16.2 15.3 13.8 19.9 16.2 16.3 16.1 35.0 19961996 12.4 13.7 14.3 14.2 14.3 16.2 18.6 17.4 16.4 17.0 17.3 16.6 15.7 16.6 16.1 15.1 16.2 14.9 14.9 16.7 16.0 14.9 20.1 17.2 17.5 17.8 28.0 21.3 19971997 13.0 14.3 14.8 14.8 14.9 16.8 19.1 18.0 17.0 17.7 18.0 17.3 16.6 17.5 17.0 16.2 17.2 16.1 16.3 18.1 17.6 16.8 21.6 19.4 20.1 20.9 28.9 26.0 30.8 19981998 12.9 14.1 14.7 14.6 14.7 16.5 18.7 17.6 16.7 17.3 17.6 17.0 16.2 17.1 16.6 15.8 16.8 15.7 15.8 17.4 16.9 16.1 20.2 18.1 18.4 18.8 24.1 20.6 20.3 10.6 19991999 13.1 14.3 14.9 14.8 15.0 16.7 18.8 17.7 16.9 17.5 17.7 17.1 16.4 17.3 16.8 16.1 17.0 16.0 16.1 17.6 17.2 16.5 20.2 18.4 18.7 19.0 23.3 20.6 20.3 15.4 20.4 20002000 12.7 13.9 14.4 14.3 14.4 16.1 18.1 17.0 16.2 16.7 16.9 16.3 15.6 16.4 15.9 15.2 16.0 15.0 15.0 16.3 15.8 15.0 18.2 16.4 16.4 16.4 19.4 16.5 15.3 10.5 10.5 1.5 20012001 12.3 13.4 13.9 13.8 13.9 15.5 17.3 16.3 15.5 16.0 16.1 15.5 14.8 15.5 15.0 14.3 14.9 14.0 13.9 15.0 14.5 13.7 16.4 14.6 14.4 14.1 16.3 13.5 12.0 7.7 6.8 0.6 -0.2 20022002 11.3 12.3 12.7 12.6 12.6 14.1 15.8 14.8 14.0 14.3 14.4 13.8 13.1 13.6 13.1 12.2 12.8 11.8 11.6 12.4 11.7 10.8 13.0 11.1 10.6 10.0 11.3 8.3 6.2 1.9 -0.2 -6.2 -9.8 -18.4 20032003 12.0 13.0 13.5 13.4 13.4 14.9 16.6 15.6 14.8 15.2 15.4 14.8 14.1 14.7 14.2 13.5 14.1 13.2 13.1 14.0 13.4 12.7 14.9 13.3 13.0 12.7 14.2 11.8 10.5 7.5 6.9 3.7 4.5 6.9 40.2 20042004 12.1 13.1 13.5 13.5 13.5 14.9 16.6 15.7 14.9 15.3 15.4 14.8 14.2 14.7 14.3 13.6 14.2 13.3 13.3 14.1 13.6 12.9 15.0 13.5 13.3 13.0 14.4 12.3 11.2 8.7 8.4 6.1 7.3 10.0 27.7 16.3 20052005 12.0 13.0 13.4 13.3 13.4 14.7 16.3 15.4 14.6 15.0 15.1 14.6 14.0 14.4 14.0 13.4 13.9 13.1 13.0 13.8 13.3 12.6 14.5 13.1 12.9 12.6 13.8 11.9 10.9 8.6 8.3 6.4 7.4 9.5 20.7 12.0 7.9 20062006 12.1 13.1 13.5 13.4 13.5 14.8 16.3 15.5 14.7 15.1 15.2 14.7 14.1 14.6 14.2 13.5 14.0 13.3 13.2 14.0 13.5 12.9 14.7 13.4 13.2 12.9 14.1 12.4 11.5 9.6 9.4 7.9 9.1 11.0 19.9 13.9 12.6 17.5 20072007 11.9 12.8 13.1 13.1 13.1 14.4 15.8 15.0 14.3 14.6 14.7 14.2 13.6 14.0 13.6 13.0 13.5 12.7 12.6 13.3 12.8 12.2 13.8 12.6 12.4 12.1 13.1 11.4 10.6 8.7 8.5 7.1 7.9 9.4 16.0 10.6 8.8 9.2 1.4 20082008 10.2 11.0 11.4 11.2 11.2 12.4 13.7 12.8 12.1 12.4 12.4 11.8 11.2 11.5 11.0 10.3 10.6 9.8 9.6 10.1 9.5 8.8 10.0 8.7 8.3 7.7 8.3 6.5 5.3 3.3 2.6 0.8 0.7 0.8 4.4 -1.5 -5.6 -9.7 -20.8 -38.2 20092009 10.7 11.5 11.9 11.7 11.8 12.9 14.2 13.4 12.7 12.9 13.0 12.4 11.8 12.2 11.7 11.1 11.4 10.7 10.5 11.0 10.5 9.8 11.1 9.9 9.6 9.1 9.8 8.2 7.2 5.5 5.0 3.6 3.8 4.3 8.1 3.5 1.1 -0.6 -5.9 -9.4 32.7 20102010 11.0 11.8 12.1 12.0 12.0 13.1 14.4 13.6 12.9 13.2 13.2 12.7 12.2 12.5 12.1 11.5 11.8 11.1 10.9 11.5 11.0 10.4 11.6 10.5 10.2 9.8 10.5 9.0 8.2 6.6 6.3 5.1 5.5 6.1 9.7 5.9 4.3 3.6 0.3 0.0 27.2 21.8 20112011 10.6 11.4 11.7 11.6 11.6 12.7 13.9 13.2 12.5 12.7 12.7 12.2 11.7 12.0 11.6 11.0 11.3 10.6 10.4 10.9 10.4 9.8 11.0 9.8 9.5 9.1 9.7 8.3 7.5 6.0 5.6 4.5 4.8 5.3 8.3 4.9 3.4 2.6 -0.1 -0.5 16.6 9.2 -2.1 20122012 10.8 11.6 11.9 11.8 11.8 12.8 14.0 13.3 12.6 12.9 12.9 12.4 11.9 12.2 11.8 11.2 11.5 10.8 10.7 11.1 10.7 10.1 11.3 10.2 9.9 9.6 10.2 8.8 8.1 6.7 6.5 5.5 5.8 6.4 9.2 6.3 5.1 4.7 2.7 2.9 16.9 12.1 7.5 17.9

1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

1928

$5,659

2012

19281928 35.5 19291929 6.9 -15.7 19301930 -8.7 -25.1 -33.5 19311931 -21.4 -34.4 -42.2 -49.8 19321932 -18.8 -28.5 -32.4 -31.8 -7.4 19331933 -6.9 -13.6 -13.1 -5.0 30.6 84.3 19341934 -5.2 -10.7 -9.7 -2.5 21.6 39.4 5.4 19351935 0.1 -4.1 -2.0 5.9 27.6 42.0 24.6 47.2 19361936 3.9 0.5 3.0 10.8 29.8 41.3 29.3 43.2 39.3 19371937 -1.4 -4.8 -3.3 1.9 14.7 19.7 7.5 8.2 -7.2 -38.2 19381938 1.1 -1.8 -0.1 5.1 16.8 21.4 11.7 13.3 3.8 -10.4 30.0 19391939 0.9 -1.8 -0.2 4.4 14.3 17.8 9.4 10.2 2.5 -7.5 13.2 -1.4 19401940 0.4 -2.1 -0.8 3.3 11.9 14.6 7.1 7.3 0.8 -7.1 6.5 -3.6 -5.8 19411941 -0.2 -2.5 -1.3 2.3 9.8 11.9 5.2 5.1 -0.6 -7.1 2.9 -4.8 -6.5 -7.2 19421942 1.1 -1.0 0.2 3.7 10.7 12.7 6.7 6.9 2.1 -3.0 6.1 0.9 1.7 5.6 20.2 19431943 3.0 1.1 2.5 5.9 12.7 14.8 9.4 9.9 6.0 1.9 10.8 7.3 9.6 15.2 28.4 37.0 19441944 4.4 2.7 4.0 7.4 13.9 15.9 11.1 11.7 8.3 4.9 13.2 10.6 13.2 18.5 28.6 32.9 28.9 19451945 6.4 4.9 6.4 9.7 16.0 18.1 13.8 14.6 11.7 9.0 17.0 15.3 18.3 23.9 33.1 37.7 38.1 47.9 19461946 5.7 4.2 5.6 8.6 14.4 16.1 12.1 12.6 9.9 7.4 14.2 12.3 14.4 18.2 24.0 25.0 21.2 17.6 -6.5 19471947 5.6 4.2 5.4 8.3 13.6 15.2 11.4 11.9 9.4 7.0 13.0 11.3 13.0 15.9 20.3 20.3 16.5 12.6 -1.8 3.2 19481948 5.3 4.0 5.1 7.8 12.8 14.2 10.6 11.0 8.6 6.4 11.7 10.1 11.4 13.8 17.1 16.6 12.9 9.3 -1.2 1.5 -0.2 19491949 5.9 4.6 5.8 8.4 13.1 14.5 11.1 11.5 9.3 7.3 12.4 10.9 12.2 14.4 17.4 17.0 14.0 11.2 3.5 7.1 9.1 19.2 19501950 7.1 5.9 7.1 9.7 14.3 15.6 12.5 12.9 11.0 9.2 14.1 12.8 14.2 16.4 19.4 19.3 17.0 15.1 9.5 13.9 17.6 27.7 36.7 19511951 7.5 6.5 7.6 10.1 14.5 15.8 12.8 13.3 11.4 9.8 14.4 13.3 14.6 16.6 19.3 19.2 17.2 15.6 10.9 14.8 17.9 24.6 27.3 18.6 19521952 7.7 6.7 7.8 10.2 14.4 15.6 12.8 13.2 11.5 9.9 14.3 13.2 14.4 16.3 18.7 18.5 16.6 15.2 11.1 14.4 16.8 21.4 22.2 15.5 12.5 19531953 7.3 6.3 7.4 9.6 13.6 14.7 12.0 12.4 10.7 9.2 13.2 12.1 13.2 14.8 16.8 16.5 14.6 13.1 9.4 11.9 13.4 16.4 15.6 9.4 5.0 -1.9 19541954 8.8 7.9 9.0 11.2 15.2 16.3 13.8 14.2 12.7 11.4 15.3 14.5 15.6 17.3 19.4 19.4 17.9 16.8 13.8 16.6 18.7 22.1 22.7 19.5 19.8 23.6 55.8 19551955 9.3 8.4 9.5 11.7 15.4 16.5 14.1 14.6 13.1 11.9 15.7 14.9 16.0 17.6 19.6 19.6 18.2 17.3 14.6 17.2 19.1 22.1 22.6 20.0 20.3 23.0 37.8 21.9 19561956 9.3 8.4 9.4 11.5 15.2 16.2 13.9 14.3 12.9 11.8 15.3 14.5 15.5 17.0 18.9 18.8 17.5 16.6 14.1 16.3 17.9 20.4 20.5 18.0 17.9 19.3 27.4 15.2 8.9 19571957 8.4 7.6 8.5 10.5 13.9 14.9 12.6 13.0 11.6 10.4 13.7 12.9 13.7 15.0 16.6 16.3 15.0 14.0 11.5 13.3 14.4 16.1 15.7 13.0 12.1 12.0 15.8 4.9 -2.7 -13.0 19581958 9.6 8.8 9.8 11.8 15.1 16.1 14.0 14.4 13.1 12.1 15.3 14.6 15.5 16.8 18.4 18.3 17.1 16.3 14.2 16.1 17.4 19.3 19.3 17.3 17.1 17.9 22.3 15.1 12.9 15.0 52.1 19591959 9.7 9.0 9.9 11.8 15.1 16.0 14.0 14.3 13.1 12.1 15.2 14.5 15.4 16.6 18.1 18.0 16.9 16.1 14.1 15.9 17.0 18.7 18.7 16.8 16.6 17.2 20.7 14.7 13.0 14.4 31.2 13.2 19601960 9.4 8.7 9.6 11.4 14.5 15.4 13.4 13.7 12.6 11.6 14.5 13.8 14.6 15.7 17.1 16.9 15.8 15.0 13.1 14.7 15.6 17.0 16.8 15.0 14.6 14.9 17.5 12.1 10.3 10.6 19.8 6.4 0.0 19611961 9.9 9.2 10.1 11.9 14.9 15.8 13.9 14.2 13.1 12.2 15.0 14.4 15.2 16.3 17.6 17.5 16.5 15.8 14.0 15.5 16.5 17.8 17.7 16.1 15.9 16.3 18.8 14.3 13.0 13.9 21.8 13.1 13.1 28.0 19621962 9.3 8.6 9.4 11.1 14.0 14.8 13.0 13.2 12.2 11.2 13.9 13.2 13.9 14.9 16.1 15.9 14.9 14.1 12.4 13.7 14.4 15.6 15.3 13.7 13.2 13.3 15.1 10.9 9.4 9.4 14.6 6.8 4.7 7.1 -10.3 19631963 9.6 8.9 9.8 11.4 14.2 15.0 13.2 13.5 12.5 11.6 14.1 13.5 14.2 15.2 16.3 16.1 15.2 14.5 12.9 14.1 14.8 15.9 15.7 14.2 13.8 14.0 15.7 11.9 10.7 11.0 15.6 9.4 8.5 11.5 4.1 20.8 19641964 9.8 9.2 10.0 11.6 14.3 15.1 13.4 13.6 12.6 11.8 14.3 13.7 14.4 15.3 16.4 16.2 15.3 14.6 13.1 14.3 15.0 16.0 15.8 14.5 14.1 14.3 15.9 12.5 11.5 11.8 15.9 10.8 10.3 13.1 8.5 19.4 17.9 19651965 10.1 9.5 10.3 11.9 14.6 15.3 13.6 13.9 12.9 12.1 14.5 14.0 14.6 15.6 16.6 16.5 15.6 15.0 13.6 14.7 15.4 16.4 16.2 15.0 14.7 14.9 16.4 13.4 12.6 13.0 16.7 12.4 12.3 14.9 11.8 20.4 20.1 22.4 19661966 9.6 9.0 9.8 11.3 13.9 14.6 12.9 13.2 12.2 11.4 13.7 13.2 13.7 14.6 15.5 15.3 14.5 13.9 12.5 13.5 14.1 14.9 14.7 13.4 13.1 13.1 14.4 11.5 10.6 10.7 13.7 9.7 9.2 10.8 7.7 12.7 10.1 6.4 -7.5 19671967 10.3 9.7 10.5 12.0 14.5 15.2 13.6 13.9 13.0 12.2 14.5 14.0 14.6 15.4 16.4 16.2 15.4 14.9 13.5 14.6 15.2 16.1 15.9 14.8 14.5 14.7 16.0 13.4 12.7 13.0 16.0 12.6 12.5 14.4 12.3 17.5 16.7 16.2 13.3 38.8 19681968 10.6 10.0 10.8 12.3 14.8 15.4 13.9 14.2 13.3 12.6 14.8 14.3 14.9 15.7 16.6 16.5 15.7 15.2 14.0 15.0 15.6 16.4 16.3 15.3 15.1 15.2 16.5 14.1 13.5 13.9 16.7 13.7 13.7 15.6 13.9 18.5 18.1 18.1 16.8 31.2 24.01969 9.8 9.3 10.0 11.4 13.7 14.4 12.9 13.1 12.2 11.5 13.6 13.1 13.6 14.3 15.2 15.0 14.2 13.7 12.4 13.3 13.8 14.5 14.3 13.2 12.9 13.0 14.0 11.6 10.9 11.1 13.4 10.4 10.1 11.3 9.3 12.5 11.2 9.9 6.9 12.2 0.91970 9.6 9.0 9.7 11.1 13.4 14.0 12.5 12.7 11.8 11.1 13.1 12.6 13.1 13.8 14.6 14.4 13.7 13.1 11.9 12.7 13.2 13.8 13.6 12.5 12.2 12.2 13.1 10.8 10.1 10.2 12.3 9.4 9.1 10.1 8.2 10.8 9.5 8.1 5.5 9.0 0.51971 9.7 9.2 9.9 11.2 13.4 14.0 12.6 12.8 12.0 11.3 13.2 12.7 13.2 13.9 14.7 14.5 13.7 13.2 12.1 12.9 13.3 13.9 13.7 12.7 12.4 12.4 13.3 11.1 10.5 10.6 12.5 10.0 9.7 10.6 9.0 11.4 10.3 9.2 7.2 10.4 4.21972 9.7 9.2 9.9 11.2 13.4 14.0 12.6 12.8 11.9 11.3 13.2 12.7 13.1 13.8 14.5 14.4 13.7 13.1 12.0 12.8 13.2 13.8 13.6 12.6 12.3 12.3 13.1 11.1 10.5 10.6 12.4 10.0 9.8 10.7 9.2 11.4 10.4 9.5 7.7 10.5 5.61973 8.9 8.4 9.0 10.3 12.4 12.9 11.5 11.7 10.9 10.2 12.0 11.5 11.9 12.5 13.2 13.0 12.2 11.7 10.6 11.3 11.6 12.1 11.8 10.8 10.5 10.4 11.0 9.1 8.4 8.4 9.9 7.5 7.1 7.7 6.2 7.8 6.6 5.4 3.4 5.1 0.31974 8.1 7.5 8.1 9.3 11.3 11.8 10.4 10.6 9.8 9.1 10.8 10.3 10.6 11.2 11.8 11.5 10.8 10.2 9.1 9.7 10.0 10.4 10.0 9.0 8.6 8.5 9.0 7.1 6.3 6.2 7.4 5.1 4.6 4.9 3.4 4.6 3.2 1.9 -0.2 0.8 -3.81975 8.8 8.2 8.8 10.0 12.0 12.5 11.2 11.3 10.6 9.9 11.6 11.1 11.5 12.0 12.7 12.4 11.7 11.2 10.2 10.8 11.1 11.5 11.2 10.3 10.0 9.9 10.5 8.7 8.0 8.0 9.3 7.2 6.8 7.3 6.0 7.3 6.3 5.3 3.7 5.0 1.41976 9.3 8.8 9.4 10.6 12.6 13.1 11.8 11.9 11.2 10.6 12.2 11.8 12.2 12.7 13.3 13.1 12.5 12.0 11.0 11.7 12.0 12.4 12.2 11.3 11.0 11.0 11.6 9.9 9.4 9.4 10.7 8.8 8.5 9.1 7.9 9.3 8.5 7.8 6.5 8.0 5.11977 9.2 8.7 9.3 10.5 12.4 12.9 11.6 11.8 11.0 10.4 12.0 11.6 12.0 12.5 13.1 12.9 12.3 11.8 10.8 11.4 11.7 12.1 11.9 11.1 10.8 10.7 11.3 9.7 9.1 9.1 10.4 8.5 8.3 8.8 7.7 9.0 8.2 7.5 6.4 7.7 5.01978 9.3 8.8 9.4 10.5 12.4 12.8 11.6 11.8 11.1 10.5 12.0 11.6 12.0 12.5 13.1 12.9 12.3 11.8 10.9 11.4 11.7 12.1 11.9 11.1 10.8 10.8 11.3 9.8 9.3 9.3 10.5 8.7 8.5 9.0 8.0 9.2 8.5 7.9 6.8 8.1 5.71979 9.6 9.2 9.7 10.9 12.7 13.2 12.0 12.2 11.5 10.9 12.4 12.0 12.4 12.9 13.5 13.3 12.7 12.3 11.4 12.0 12.3 12.7 12.5 11.7 11.5 11.4 12.0 10.5 10.1 10.1 11.3 9.7 9.5 10.0 9.1 10.4 9.7 9.2 8.3 9.7 7.51980 10.0 9.6 10.1 11.3 13.1 13.5 12.4 12.5 11.9 11.3 12.8 12.5 12.8 13.3 13.9 13.8 13.2 12.8 11.9 12.5 12.8 13.2 13.0 12.3 12.1 12.1 12.7 11.3 10.9 10.9 12.1 10.6 10.4 11.0 10.2 11.4 10.9 10.5 9.7 11.1 9.21981 9.9 9.4 10.0 11.1 12.9 13.3 12.2 12.3 11.7 11.1 12.6 12.2 12.6 13.1 13.6 13.5 12.9 12.5 11.6 12.2 12.5 12.9 12.7 12.0 11.8 11.8 12.3 10.9 10.5 10.6 11.7 10.2 10.1 10.6 9.8 11.0 10.4 10.0 9.3 10.5 8.71982 10.1 9.7 10.2 11.3 13.1 13.5 12.4 12.6 11.9 11.4 12.9 12.5 12.8 13.3 13.9 13.7 13.2 12.8 12.0 12.5 12.8 13.2 13.0 12.4 12.2 12.2 12.7 11.4 11.0 11.1 12.2 10.8 10.7 11.2 10.4 11.6 11.1 10.8 10.1 11.3 9.71983 10.4 10.0 10.6 11.6 13.4 13.8 12.7 12.9 12.3 11.7 13.2 12.8 13.2 13.7 14.2 14.1 13.6 13.2 12.4 13.0 13.2 13.7 13.5 12.9 12.7 12.7 13.2 12.0 11.6 11.7 12.8 11.5 11.4 11.9 11.2 12.4 12.0 11.7 11.1 12.3 10.91984 10.3 9.9 10.4 11.5 13.2 13.6 12.5 12.7 12.1 11.6 13.0 12.6 13.0 13.4 14.0 13.8 13.3 12.9 12.2 12.7 13.0 13.4 13.2 12.6 12.4 12.4 12.9 11.7 11.3 11.4 12.4 11.1 11.1 11.6 10.9 12.0 11.6 11.2 10.7 11.8 10.41985 10.6 10.3 10.8 11.8 13.5 13.9 12.9 13.0 12.4 11.9 13.3 13.0 13.3 13.8 14.3 14.2 13.7 13.4 12.6 13.1 13.4 13.8 13.7 13.1 12.9 12.9 13.4 12.3 11.9 12.1 13.1 11.8 11.8 12.3 11.7 12.7 12.4 12.1 11.6 12.8 11.51986 10.7 10.3 10.9 11.9 13.5 13.9 12.9 13.1 12.5 12.0 13.4 13.0 13.4 13.8 14.3 14.2 13.7 13.4 12.7 13.2 13.4 13.8 13.7 13.1 13.0 13.0 13.5 12.3 12.0 12.1 13.1 11.9 11.9 12.4 11.8 12.8 12.5 12.3 11.8 12.9 11.61987 10.5 10.1 10.6 11.6 13.2 13.7 12.6 12.8 12.2 11.7 13.1 12.7 13.1 13.5 14.0 13.9 13.4 13.0 12.3 12.8 13.1 13.4 13.3 12.7 12.6 12.6 13.0 11.9 11.6 11.7 12.7 11.5 11.4 11.9 11.3 12.3 11.9 11.7 11.2 12.2 11.01988 10.7 10.3 10.8 11.8 13.4 13.8 12.8 13.0 12.4 11.9 13.2 12.9 13.2 13.7 14.2 14.0 13.6 13.2 12.5 13.0 13.3 13.7 13.5 13.0 12.8 12.8 13.3 12.2 11.9 12.0 13.0 11.8 11.8 12.2 11.7 12.6 12.3 12.1 11.7 12.6 11.51989 10.9 10.6 11.1 12.0 13.6 14.0 13.0 13.2 12.6 12.2 13.4 13.1 13.5 13.9 14.4 14.3 13.8 13.5 12.8 13.3 13.6 13.9 13.8 13.2 13.1 13.1 13.6 12.6 12.3 12.4 13.3 12.2 12.2 12.6 12.1 13.1 12.8 12.6 12.2 13.1 12.11990 10.5 10.1 10.6 11.6 13.1 13.5 12.5 12.6 12.1 11.7 12.9 12.6 12.9 13.3 13.8 13.6 13.2 12.9 12.2 12.7 12.9 13.2 13.1 12.5 12.4 12.4 12.8 11.8 11.5 11.6 12.4 11.4 11.3 11.7 11.2 12.1 11.7 11.5 11.1 11.9 10.91991 10.9 10.5 11.0 11.9 13.4 13.8 12.9 13.0 12.5 12.0 13.3 13.0 13.3 13.7 14.2 14.0 13.6 13.3 12.6 13.1 13.4 13.7 13.6 13.0 12.9 12.9 13.3 12.4 12.1 12.2 13.1 12.0 12.0 12.4 11.9 12.8 12.5 12.3 12.0 12.8 11.81992 10.9 10.6 11.1 12.0 13.5 13.9 12.9 13.1 12.5 12.1 13.3 13.0 13.3 13.7 14.2 14.1 13.7 13.4 12.7 13.2 13.4 13.7 13.6 13.1 13.0 13.0 13.4 12.5 12.2 12.3 13.1 12.2 12.1 12.5 12.1 12.9 12.6 12.4 12.1 12.9 12.01993 11.0 10.7 11.2 12.1 13.5 13.9 13.0 13.1 12.6 12.2 13.4 13.1 13.4 13.8 14.2 14.1 13.7 13.4 12.8 13.3 13.5 13.8 13.7 13.2 13.1 13.1 13.5 12.6 12.3 12.4 13.2 12.3 12.3 12.7 12.2 13.0 12.8 12.6 12.3 13.1 12.21994 10.8 10.5 11.0 11.9 13.3 13.7 12.8 12.9 12.4 12.0 13.1 12.9 13.1 13.5 14.0 13.8 13.4 13.1 12.5 13.0 13.2 13.5 13.4 12.9 12.7 12.8 13.1 12.2 12.0 12.1 12.9 11.9 11.9 12.3 11.8 12.6 12.3 12.1 11.8 12.6 11.71995 11.2 10.8 11.3 12.2 13.6 14.0 13.1 13.2 12.7 12.3 13.5 13.2 13.5 13.9 14.3 14.2 13.8 13.5 12.9 13.4 13.6 13.9 13.8 13.3 13.2 13.2 13.6 12.7 12.5 12.6 13.4 12.5 12.5 12.8 12.4 13.2 13.0 12.8 12.5 13.3 12.51996 11.3 11.0 11.4 12.3 13.7 14.1 13.2 13.3 12.9 12.5 13.6 13.4 13.6 14.0 14.4 14.3 13.9 13.7 13.1 13.5 13.7 14.1 13.9 13.5 13.4 13.4 13.8 12.9 12.7 12.8 13.6 12.7 12.7 13.1 12.7 13.4 13.2 13.1 12.8 13.5 12.71997 11.6 11.3 11.7 12.6 14.0 14.3 13.5 13.6 13.1 12.7 13.9 13.6 13.9 14.3 14.7 14.6 14.2 14.0 13.4 13.8 14.1 14.4 14.3 13.8 13.7 13.8 14.1 13.3 13.1 13.2 14.0 13.1 13.1 13.5 13.1 13.9 13.7 13.6 13.3 14.1 13.31998 11.6 11.2 11.7 12.5 13.9 14.3 13.4 13.6 13.1 12.7 13.8 13.6 13.9 14.2 14.6 14.5 14.2 13.9 13.4 13.8 14.0 14.3 14.2 13.8 13.7 13.7 14.1 13.3 13.1 13.2 13.9 13.1 13.1 13.4 13.1 13.8 13.6 13.5 13.2 13.9 13.21999 11.7 11.4 11.8 12.7 14.0 14.4 13.5 13.7 13.2 12.8 13.9 13.7 14.0 14.3 14.7 14.6 14.3 14.0 13.5 13.9 14.1 14.4 14.3 13.9 13.8 13.8 14.2 13.4 13.2 13.3 14.0 13.3 13.3 13.6 13.3 14.0 13.8 13.7 13.4 14.1 13.42000 11.5 11.2 11.7 12.5 13.8 14.2 13.3 13.5 13.0 12.6 13.7 13.5 13.7 14.1 14.5 14.4 14.0 13.8 13.2 13.7 13.9 14.1 14.0 13.6 13.5 13.6 13.9 13.1 13.0 13.0 13.7 13.0 13.0 13.3 12.9 13.6 13.4 13.3 13.1 13.7 13.12001 11.4 11.1 11.5 12.3 13.6 13.9 13.1 13.2 12.8 12.4 13.5 13.2 13.5 13.8 14.2 14.1 13.8 13.5 13.0 13.4 13.6 13.9 13.8 13.3 13.2 13.3 13.6 12.8 12.6 12.7 13.4 12.6 12.6 12.9 12.6 13.2 13.1 12.9 12.7 13.3 12.62002 10.9 10.6 11.0 11.8 13.1 13.4 12.6 12.7 12.3 11.9 12.9 12.7 12.9 13.2 13.6 13.5 13.1 12.9 12.3 12.7 12.9 13.2 13.0 12.6 12.5 12.5 12.8 12.1 11.9 11.9 12.6 11.8 11.8 12.1 11.7 12.3 12.1 12.0 11.7 12.3 11.62003 11.2 10.9 11.4 12.1 13.4 13.7 12.9 13.1 12.6 12.3 13.3 13.0 13.3 13.6 14.0 13.9 13.5 13.3 12.8 13.2 13.3 13.6 13.5 13.1 13.0 13.0 13.3 12.6 12.4 12.5 13.1 12.4 12.4 12.7 12.3 12.9 12.7 12.6 12.4 13.0 12.32004 11.3 11.0 11.4 12.2 13.4 13.8 13.0 13.1 12.7 12.3 13.3 13.1 13.3 13.7 14.0 13.9 13.6 13.3 12.8 13.2 13.4 13.6 13.5 13.2 13.1 13.1 13.4 12.7 12.5 12.6 13.2 12.5 12.4 12.7 12.4 13.0 12.8 12.7 12.5 13.0 12.42005 11.3 11.0 11.4 12.1 13.4 13.7 12.9 13.0 12.6 12.3 13.2 13.0 13.3 13.6 13.9 13.8 13.5 13.3 12.8 13.1 13.3 13.5 13.4 13.1 13.0 13.0 13.3 12.6 12.4 12.5 13.1 12.4 12.3 12.6 12.3 12.9 12.7 12.6 12.4 12.9 12.32006 11.3 11.1 11.5 12.2 13.4 13.7 13.0 13.1 12.7 12.3 13.3 13.1 13.3 13.6 14.0 13.9 13.6 13.3 12.8 13.2 13.4 13.6 13.5 13.1 13.0 13.1 13.4 12.7 12.5 12.6 13.2 12.5 12.4 12.7 12.4 13.0 12.8 12.7 12.5 13.0 12.42007 11.2 10.9 11.3 12.1 13.3 13.6 12.8 12.9 12.5 12.2 13.1 12.9 13.1 13.4 13.8 13.7 13.4 13.1 12.6 13.0 13.2 13.4 13.3 12.9 12.8 12.8 13.1 12.4 12.3 12.3 12.9 12.2 12.2 12.5 12.2 12.7 12.5 12.4 12.2 12.7 12.12008 10.4 10.1 10.5 11.2 12.4 12.7 11.9 12.0 11.6 11.2 12.2 11.9 12.1 12.4 12.8 12.6 12.3 12.1 11.6 11.9 12.0 12.3 12.1 11.8 11.6 11.6 11.9 11.2 11.0 11.1 11.6 10.9 10.8 11.1 10.8 11.3 11.1 10.9 10.7 11.1 10.52009 10.7 10.4 10.7 11.5 12.6 12.9 12.2 12.3 11.9 11.5 12.4 12.2 12.4 12.7 13.0 12.9 12.6 12.4 11.9 12.2 12.3 12.6 12.5 12.1 12.0 12.0 12.2 11.6 11.4 11.4 12.0 11.3 11.2 11.5 11.2 11.7 11.5 11.3 11.1 11.6 11.02010 10.8 10.5 10.9 11.6 12.7 13.0 12.3 12.4 12.0 11.7 12.6 12.3 12.5 12.8 13.1 13.0 12.7 12.5 12.0 12.3 12.5 12.7 12.6 12.2 12.1 12.1 12.4 11.7 11.6 11.6 12.1 11.5 11.4 11.7 11.4 11.9 11.7 11.6 11.3 11.8 11.22011 10.6 10.3 10.7 11.4 12.5 12.8 12.1 12.2 11.8 11.5 12.3 12.1 12.3 12.6 12.9 12.8 12.5 12.3 11.8 12.1 12.2 12.5 12.3 12.0 11.9 11.9 12.1 11.5 11.3 11.3 11.9 11.2 11.2 11.4 11.1 11.6 11.4 11.3 11.0 11.5 10.92012 10.7 10.4 10.8 11.5 12.6 12.9 12.2 12.3 11.9 11.5 12.4 12.2 12.4 12.7 13.0 12.9 12.6 12.3 11.9 12.2 12.3 12.5 12.4 12.1 12.0 12.0 12.2 11.6 11.4 11.5 12.0 11.3 11.3 11.5 11.2 11.7 11.5 11.4 11.2 11.6 11.1

1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968

Page 11: Dfa matrix book us_2013 - copy

DIMENSIONAL FUND ADVISORS MATRIX BOOK 201318 19

DImENSIONAL US ADjUSTED mARKET VALUE INDEX

1928–2012: Total Returns (%)

index data compiled by Dimensional.

19691969 -22.3 19701970 -12.9 -2.3 19711971 -3.7 7.2 17.5 19721972 -0.8 7.6 12.9 8.4 19731973 -6.3 -1.8 -1.7 -10.1 -25.4 19741974 -9.3 -6.5 -7.5 -14.6 -24.3 -23.1 19751975 -2.2 1.7 2.5 -0.9 -3.9 9.1 54.7 19761976 3.0 7.2 8.9 7.3 7.0 20.7 51.2 47.7 19771977 3.9 7.7 9.2 7.9 7.8 18.2 36.4 28.1 11.0 19781978 5.0 8.6 10.0 9.0 9.1 17.7 30.9 23.8 13.4 15.8 19791979 7.4 10.9 12.5 11.9 12.4 20.4 31.6 26.4 20.0 24.8 34.4 19801980 9.1 12.5 14.1 13.7 14.4 21.6 31.3 27.1 22.4 26.4 32.0 29.7 19811981 8.9 12.1 13.5 13.1 13.6 19.7 27.5 23.5 19.2 21.3 23.2 17.9 7.1 19821982 10.2 13.2 14.6 14.3 14.9 20.6 27.5 24.0 20.5 22.5 24.2 21.0 16.8 27.4 19831983 11.7 14.6 16.1 15.9 16.6 22.0 28.4 25.4 22.5 24.6 26.4 24.4 22.7 31.4 35.5 19841984 11.1 13.7 15.0 14.8 15.3 20.0 25.4 22.5 19.7 21.0 21.9 19.5 17.1 20.7 17.4 1.8 19851985 12.1 14.7 15.9 15.8 16.4 20.8 25.9 23.3 20.8 22.1 23.0 21.2 19.6 22.9 21.5 15.1 30.1 19861986 12.1 14.5 15.7 15.6 16.1 20.1 24.7 22.2 19.9 21.0 21.6 19.9 18.3 20.7 19.1 14.1 20.8 12.2 19871987 11.3 13.6 14.6 14.4 14.8 18.4 22.4 20.0 17.8 18.5 18.8 16.9 15.2 16.6 14.6 9.9 12.7 4.9 -2.0 19881988 12.0 14.2 15.2 15.0 15.5 18.9 22.6 20.5 18.4 19.1 19.5 17.9 16.5 17.9 16.4 12.9 15.9 11.5 11.1 26.0 19891989 12.4 14.5 15.5 15.4 15.8 19.0 22.5 20.5 18.6 19.3 19.6 18.2 17.0 18.3 17.1 14.3 16.9 13.9 14.4 23.6 21.2 19901990 10.8 12.7 13.5 13.3 13.6 16.5 19.5 17.5 15.6 15.9 15.9 14.4 12.9 13.6 12.0 9.0 10.2 6.7 5.3 7.8 -0.2 -17.9 19911991 12.0 13.9 14.7 14.5 14.9 17.7 20.6 18.8 17.1 17.5 17.6 16.4 15.2 16.0 14.8 12.5 14.1 11.7 11.5 15.2 11.8 7.4 40.5 19921992 12.4 14.2 15.0 14.9 15.2 17.9 20.7 19.0 17.4 17.8 18.0 16.8 15.8 16.6 15.5 13.5 15.1 13.1 13.2 16.5 14.3 12.0 30.9 21.9 19931993 12.7 14.4 15.2 15.1 15.5 18.0 20.7 19.0 17.5 18.0 18.1 17.0 16.1 16.9 16.0 14.2 15.7 14.0 14.2 17.2 15.5 14.1 27.3 21.2 20.4 19941994 12.2 13.8 14.6 14.4 14.7 17.1 19.6 18.0 16.5 16.8 16.9 15.8 14.9 15.5 14.6 12.8 14.0 12.3 12.4 14.6 12.8 11.2 19.9 13.7 9.8 0.2 19951995 12.9 14.5 15.3 15.2 15.5 17.8 20.2 18.7 17.3 17.7 17.8 16.9 16.0 16.7 15.9 14.4 15.7 14.3 14.5 16.8 15.5 14.6 22.5 18.4 17.2 15.7 33.5 19961996 13.2 14.8 15.5 15.4 15.7 18.0 20.3 18.8 17.5 17.9 18.0 17.1 16.4 17.0 16.3 14.9 16.1 14.9 15.2 17.3 16.2 15.5 22.3 19.0 18.2 17.5 27.3 21.4 19971997 13.8 15.3 16.0 16.0 16.3 18.5 20.7 19.4 18.2 18.5 18.7 17.8 17.2 17.8 17.2 16.0 17.2 16.2 16.6 18.6 17.8 17.4 23.5 20.9 20.7 20.8 28.5 26.1 30.9 19981998 13.4 14.9 15.5 15.5 15.7 17.8 19.9 18.6 17.4 17.7 17.8 17.0 16.3 16.9 16.3 15.1 16.1 15.1 15.3 17.0 16.2 15.6 20.7 18.1 17.5 16.9 21.5 17.7 15.9 2.6 19991999 13.5 15.0 15.6 15.6 15.8 17.8 19.8 18.6 17.4 17.7 17.8 17.1 16.4 17.0 16.4 15.3 16.2 15.3 15.5 17.1 16.4 15.9 20.4 18.1 17.6 17.1 20.8 17.9 16.7 10.2 18.3 20002000 13.4 14.8 15.4 15.4 15.6 17.5 19.4 18.2 17.1 17.4 17.4 16.7 16.1 16.6 16.0 14.9 15.8 14.9 15.1 16.6 15.8 15.3 19.3 17.2 16.6 16.0 18.9 16.2 14.9 10.0 13.9 9.7 20012001 13.3 14.6 15.2 15.1 15.4 17.2 19.0 17.8 16.8 17.0 17.1 16.3 15.7 16.2 15.6 14.6 15.4 14.6 14.7 16.0 15.3 14.8 18.4 16.3 15.7 15.2 17.5 15.0 13.8 9.8 12.4 9.5 9.3 20022002 12.3 13.5 14.1 13.9 14.1 15.8 17.5 16.3 15.3 15.4 15.4 14.7 14.0 14.4 13.7 12.7 13.3 12.4 12.4 13.5 12.6 12.0 14.9 12.9 12.0 11.1 12.5 9.8 8.0 3.9 4.2 -0.1 -4.6 -16.8 20032003 13.2 14.4 15.0 14.9 15.1 16.8 18.5 17.4 16.4 16.6 16.6 15.9 15.4 15.8 15.2 14.3 15.0 14.2 14.3 15.4 14.8 14.3 17.3 15.5 15.0 14.4 16.1 14.1 13.1 10.4 12.0 10.5 10.8 11.5 49.5 20042004 13.4 14.6 15.1 15.0 15.3 16.9 18.5 17.5 16.5 16.7 16.7 16.1 15.5 15.9 15.4 14.5 15.2 14.5 14.6 15.7 15.1 14.7 17.4 15.8 15.3 14.9 16.5 14.7 13.9 11.7 13.2 12.2 12.9 14.1 33.6 19.5 20052005 13.2 14.4 14.9 14.8 15.0 16.6 18.2 17.1 16.2 16.4 16.4 15.8 15.2 15.6 15.1 14.3 14.9 14.2 14.3 15.3 14.7 14.3 16.8 15.3 14.8 14.3 15.7 14.1 13.3 11.2 12.5 11.6 12.0 12.7 24.6 13.8 8.4 20062006 13.4 14.5 15.0 15.0 15.2 16.7 18.2 17.2 16.3 16.5 16.5 15.9 15.4 15.7 15.3 14.5 15.1 14.4 14.5 15.4 14.9 14.5 16.9 15.5 15.1 14.7 16.0 14.5 13.8 12.1 13.3 12.6 13.1 13.9 23.1 15.4 13.5 18.7 20072007 12.9 14.0 14.5 14.4 14.6 16.1 17.5 16.5 15.6 15.8 15.8 15.2 14.7 15.0 14.5 13.7 14.2 13.6 13.6 14.5 13.9 13.5 15.7 14.3 13.8 13.3 14.4 13.0 12.2 10.5 11.4 10.6 10.7 10.9 17.5 10.7 7.9 7.6 -2.5 20082008 11.2 12.2 12.6 12.5 12.6 14.0 15.3 14.3 13.3 13.4 13.3 12.7 12.1 12.3 11.8 10.9 11.3 10.5 10.5 11.1 10.4 9.9 11.6 10.1 9.5 8.8 9.4 7.7 6.7 4.7 4.9 3.5 2.8 1.9 5.4 -1.8 -6.5 -10.9 -22.9 -39.0 20092009 11.8 12.8 13.2 13.1 13.2 14.6 15.9 14.9 14.0 14.1 14.1 13.4 12.9 13.1 12.6 11.8 12.3 11.6 11.6 12.2 11.6 11.1 12.9 11.6 11.0 10.4 11.1 9.7 8.8 7.2 7.6 6.6 6.2 5.8 9.5 4.0 1.2 -0.6 -6.3 -8.1 38.4 20102010 12.1 13.1 13.5 13.4 13.6 14.8 16.1 15.2 14.3 14.4 14.4 13.8 13.3 13.5 13.1 12.3 12.7 12.1 12.1 12.7 12.2 11.8 13.5 12.2 11.7 11.2 12.0 10.7 9.9 8.5 9.0 8.1 8.0 7.8 11.4 6.8 4.8 4.1 0.8 1.9 31.7 25.3 20112011 11.7 12.6 13.0 12.9 13.0 14.3 15.5 14.6 13.7 13.8 13.8 13.2 12.7 12.9 12.4 11.6 12.0 11.4 11.4 11.9 11.4 10.9 12.5 11.3 10.8 10.3 10.9 9.6 8.9 7.4 7.8 7.0 6.7 6.5 9.4 5.3 3.4 2.5 -0.4 0.1 18.1 9.1 -5.1 20122012 11.8 12.8 13.2 13.1 13.2 14.4 15.6 14.7 13.9 14.0 13.9 13.4 12.9 13.1 12.6 11.9 12.3 11.7 11.6 12.2 11.7 11.3 12.8 11.7 11.2 10.7 11.3 10.1 9.5 8.2 8.6 7.9 7.7 7.6 10.4 6.7 5.2 4.8 2.6 3.7 18.4 12.4 6.4 19.3

1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

1928

$11,998

2012

19281928 34.1 19291929 4.0 -19.3 19301930 -11.9 -28.7 -36.9 19311931 -24.6 -37.7 -45.3 -52.6 19321932 -21.6 -31.4 -35.0 -34.1 -8.5 19331933 -7.9 -14.6 -13.3 -3.6 37.3 106.0 19341934 -6.1 -11.5 -9.9 -1.5 25.7 47.2 5.2 19351935 -0.4 -4.5 -1.8 7.3 31.5 48.4 26.0 50.9 19361936 4.0 0.7 4.0 13.0 34.4 48.0 32.5 48.8 46.7 19371937 -2.0 -5.4 -3.5 2.6 16.6 22.4 7.5 8.3 -8.3 -42.6 19381938 0.7 -2.1 0.0 5.9 18.8 24.0 12.1 13.8 3.6 -12.9 32.3 19391939 0.3 -2.4 -0.5 4.7 15.6 19.5 9.1 9.9 1.6 -10.1 12.5 -4.4 19401940 -0.1 -2.6 -0.9 3.7 13.1 16.1 7.0 7.3 0.2 -8.9 6.3 -4.7 -5.0 19411941 -0.5 -2.8 -1.3 2.8 11.1 13.5 5.3 5.3 -0.8 -8.2 3.2 -5.0 -5.3 -5.6 19421942 0.9 -1.1 0.4 4.4 12.2 14.5 7.2 7.5 2.4 -3.5 7.0 1.5 3.6 8.1 23.8 19431943 3.3 1.5 3.1 7.1 14.6 17.0 10.6 11.2 7.0 2.3 12.7 9.1 12.8 19.4 34.3 45.6 19441944 5.0 3.4 5.1 9.0 16.2 18.5 12.7 13.5 9.9 6.1 15.8 13.2 17.1 23.4 35.0 40.9 36.4 19451945 7.3 5.9 7.7 11.6 18.6 21.0 15.8 16.8 13.8 10.7 20.1 18.5 22.8 29.3 39.8 45.6 45.7 55.5 19461946 6.4 5.0 6.6 10.2 16.6 18.6 13.7 14.4 11.6 8.5 16.5 14.7 17.7 22.0 28.4 29.5 24.6 19.1 -8.8 19471947 6.2 4.9 6.4 9.8 15.7 17.5 12.9 13.5 10.8 8.0 15.1 13.3 15.8 19.1 23.8 23.8 18.9 13.5 -3.0 3.2 19481948 5.8 4.6 6.0 9.1 14.6 16.2 11.8 12.3 9.8 7.2 13.5 11.7 13.7 16.3 19.8 19.1 14.4 9.5 -2.6 0.7 -1.8 19491949 6.4 5.2 6.6 9.6 14.8 16.3 12.3 12.7 10.4 8.0 13.9 12.3 14.2 16.5 19.6 19.0 15.1 11.3 2.3 6.3 7.9 18.6 19501950 7.8 6.7 8.1 11.1 16.2 17.7 13.9 14.5 12.4 10.3 15.9 14.7 16.6 19.0 22.1 21.9 18.8 16.1 9.5 14.7 18.8 30.6 43.7 19511951 8.1 7.1 8.5 11.3 16.1 17.6 14.0 14.5 12.6 10.6 15.9 14.7 16.5 18.7 21.4 21.2 18.4 16.0 10.5 14.9 18.0 25.4 28.9 15.6 19521952 8.2 7.3 8.6 11.3 15.9 17.3 13.9 14.4 12.5 10.7 15.6 14.5 16.1 18.1 20.5 20.2 17.6 15.5 10.7 14.3 16.7 21.8 22.9 13.6 11.7 19531953 7.7 6.8 8.0 10.6 14.9 16.1 12.9 13.3 11.5 9.7 14.2 13.1 14.5 16.2 18.2 17.7 15.2 13.1 8.6 11.4 12.8 16.0 15.3 7.2 3.2 -4.6 19541954 9.3 8.4 9.7 12.3 16.6 17.9 14.8 15.3 13.6 12.0 16.5 15.6 17.1 18.9 21.0 20.8 18.7 17.1 13.4 16.6 18.6 22.4 23.2 18.5 19.5 23.7 60.4 19551955 9.7 8.9 10.1 12.6 16.8 18.0 15.0 15.5 14.0 12.5 16.8 15.9 17.3 19.0 21.0 20.8 18.9 17.4 14.2 17.1 18.9 22.2 22.8 19.0 19.9 22.8 39.3 21.0 19561956 9.6 8.9 10.1 12.5 16.4 17.6 14.7 15.2 13.7 12.3 16.3 15.5 16.8 18.3 20.1 19.8 18.1 16.6 13.6 16.2 17.7 20.4 20.6 17.2 17.5 19.0 28.1 14.4 8.2 19571957 8.7 7.9 9.0 11.2 14.9 16.0 13.2 13.6 12.1 10.7 14.4 13.6 14.6 15.9 17.4 17.0 15.2 13.7 10.8 12.7 13.7 15.6 15.2 11.7 11.0 10.9 15.1 3.1 -4.8 -16.3 19581958 10.0 9.3 10.4 12.7 16.3 17.4 14.8 15.2 13.9 12.6 16.2 15.5 16.7 18.0 19.5 19.3 17.7 16.5 13.9 16.0 17.3 19.4 19.5 16.7 16.9 17.8 22.9 15.0 13.0 15.5 59.5 19591959 10.2 9.5 10.6 12.8 16.3 17.3 14.8 15.2 13.9 12.7 16.2 15.5 16.6 17.8 19.3 19.0 17.5 16.4 14.0 16.0 17.1 19.0 19.0 16.6 16.7 17.4 21.5 15.0 13.5 15.4 35.5 15.1 19601960 9.7 9.0 10.1 12.2 15.6 16.5 14.1 14.4 13.2 12.0 15.3 14.6 15.5 16.7 18.0 17.7 16.2 15.0 12.8 14.5 15.4 17.0 16.8 14.4 14.3 14.6 17.6 11.7 10.0 10.4 21.1 5.5 -3.3 19611961 10.3 9.6 10.7 12.7 16.0 16.9 14.6 14.9 13.7 12.6 15.8 15.1 16.1 17.2 18.5 18.2 16.9 15.8 13.7 15.4 16.3 17.8 17.8 15.6 15.7 16.1 19.0 14.0 12.9 13.9 23.0 12.8 11.6 28.8 19621962 9.6 8.9 9.9 11.8 15.0 15.9 13.6 13.9 12.7 11.6 14.6 13.9 14.8 15.8 16.9 16.6 15.2 14.1 12.1 13.5 14.2 15.5 15.2 13.1 12.9 13.0 15.2 10.5 9.1 9.3 15.3 6.3 3.5 7.0 -11.1 19631963 9.9 9.3 10.3 12.1 15.2 16.1 13.9 14.2 13.0 12.0 14.9 14.2 15.1 16.0 17.1 16.8 15.5 14.5 12.6 14.0 14.7 15.9 15.7 13.8 13.7 13.8 15.9 11.8 10.7 11.0 16.4 9.3 7.9 11.9 4.2 22.2 19641964 10.2 9.6 10.5 12.4 15.3 16.2 14.1 14.4 13.3 12.2 15.1 14.4 15.3 16.2 17.3 17.0 15.7 14.8 13.0 14.3 15.0 16.2 16.0 14.2 14.1 14.3 16.2 12.6 11.7 12.1 16.9 11.0 10.2 13.8 9.2 21.0 19.9 19651965 10.7 10.1 11.0 12.8 15.8 16.6 14.5 14.8 13.8 12.8 15.6 15.0 15.8 16.7 17.8 17.5 16.4 15.5 13.8 15.1 15.8 16.9 16.8 15.2 15.2 15.5 17.3 14.1 13.4 14.0 18.5 13.5 13.3 16.9 14.1 24.0 24.9 30.1 19661966 10.1 9.6 10.5 12.2 15.0 15.8 13.8 14.1 13.0 12.1 14.7 14.1 14.8 15.7 16.6 16.3 15.2 14.3 12.7 13.9 14.4 15.4 15.2 13.7 13.5 13.7 15.2 12.1 11.3 11.6 15.2 10.7 10.0 12.4 9.4 15.2 13.0 9.7 -7.5 19671967 11.0 10.5 11.4 13.2 15.9 16.7 14.8 15.1 14.1 13.2 15.8 15.2 16.0 16.9 17.8 17.6 16.6 15.8 14.2 15.5 16.1 17.1 17.0 15.6 15.6 15.9 17.5 14.8 14.3 14.8 18.5 14.7 14.6 17.4 15.6 21.9 21.8 22.4 18.7 52.5 19681968 11.5 11.0 11.9 13.6 16.3 17.1 15.2 15.5 14.6 13.7 16.3 15.8 16.5 17.4 18.4 18.1 17.2 16.4 15.0 16.2 16.8 17.9 17.8 16.5 16.6 16.9 18.5 16.0 15.6 16.2 19.7 16.3 16.5 19.2 17.9 23.6 23.9 24.9 23.2 42.2 32.61969 10.6 10.0 10.9 12.5 15.1 15.8 14.0 14.2 13.3 12.4 14.8 14.3 15.0 15.7 16.6 16.3 15.3 14.6 13.1 14.2 14.7 15.5 15.4 14.1 14.0 14.1 15.4 12.9 12.3 12.7 15.5 12.2 11.9 13.7 11.9 15.7 14.6 13.6 9.8 16.3 1.51970 10.3 9.7 10.6 12.1 14.6 15.3 13.5 13.8 12.8 12.0 14.3 13.7 14.4 15.1 15.9 15.6 14.6 13.9 12.4 13.4 13.9 14.7 14.5 13.2 13.1 13.1 14.3 11.9 11.3 11.5 14.0 10.9 10.5 12.0 10.2 13.2 12.0 10.8 7.3 11.3 0.21971 10.4 9.9 10.7 12.3 14.7 15.4 13.6 13.9 13.0 12.1 14.4 13.9 14.5 15.2 15.9 15.7 14.7 14.0 12.6 13.6 14.0 14.8 14.6 13.4 13.3 13.4 14.5 12.2 11.7 11.9 14.3 11.4 11.1 12.5 11.0 13.7 12.7 11.7 8.9 12.5 4.31972 10.4 9.9 10.7 12.2 14.5 15.2 13.5 13.7 12.8 12.0 14.2 13.7 14.3 14.9 15.7 15.4 14.5 13.8 12.5 13.4 13.8 14.5 14.3 13.2 13.0 13.1 14.1 12.0 11.5 11.7 13.9 11.2 10.9 12.1 10.7 13.2 12.2 11.3 8.8 11.8 5.11973 9.4 8.9 9.7 11.1 13.4 14.0 12.3 12.5 11.6 10.8 12.8 12.3 12.9 13.5 14.1 13.8 12.9 12.1 10.8 11.6 12.0 12.6 12.3 11.1 10.9 10.9 11.7 9.6 9.0 9.1 10.9 8.2 7.8 8.7 7.1 9.0 7.7 6.4 3.8 5.5 -0.71974 8.6 8.1 8.8 10.2 12.4 12.9 11.3 11.4 10.6 9.7 11.7 11.2 11.6 12.2 12.8 12.4 11.5 10.7 9.5 10.2 10.4 10.9 10.6 9.4 9.2 9.1 9.8 7.7 7.0 7.0 8.5 6.0 5.4 6.0 4.4 5.8 4.5 3.0 0.4 1.5 -4.31975 9.4 8.9 9.7 11.0 13.2 13.7 12.1 12.3 11.5 10.7 12.6 12.2 12.6 13.2 13.8 13.5 12.6 11.9 10.7 11.5 11.8 12.3 12.1 11.0 10.8 10.7 11.5 9.6 9.0 9.1 10.7 8.3 7.9 8.7 7.4 9.0 8.0 6.9 4.8 6.3 1.61976 10.1 9.6 10.4 11.7 13.8 14.4 12.9 13.0 12.3 11.5 13.4 13.0 13.5 14.0 14.7 14.4 13.6 12.9 11.8 12.5 12.9 13.4 13.2 12.2 12.1 12.1 12.9 11.1 10.6 10.7 12.4 10.2 9.9 10.8 9.7 11.4 10.6 9.8 8.2 9.9 5.91977 10.1 9.7 10.4 11.7 13.8 14.3 12.8 13.0 12.2 11.5 13.4 12.9 13.4 14.0 14.6 14.3 13.5 12.9 11.7 12.5 12.8 13.3 13.1 12.1 12.0 12.0 12.8 11.1 10.6 10.8 12.3 10.3 10.0 10.8 9.8 11.4 10.6 9.9 8.4 10.0 6.41978 10.2 9.8 10.5 11.8 13.8 14.4 12.9 13.1 12.3 11.6 13.4 13.0 13.5 14.0 14.6 14.3 13.6 12.9 11.9 12.6 12.9 13.4 13.2 12.3 12.2 12.2 12.9 11.3 10.9 11.0 12.5 10.5 10.3 11.1 10.1 11.6 11.0 10.3 9.0 10.5 7.31979 10.6 10.2 10.9 12.2 14.2 14.8 13.3 13.5 12.8 12.1 13.9 13.5 14.0 14.5 15.1 14.8 14.1 13.5 12.5 13.2 13.5 14.0 13.9 13.0 12.9 12.9 13.7 12.1 11.7 11.9 13.4 11.6 11.4 12.2 11.4 12.9 12.3 11.8 10.6 12.1 9.31980 11.0 10.6 11.3 12.5 14.5 15.1 13.6 13.8 13.1 12.5 14.2 13.8 14.3 14.8 15.4 15.2 14.5 13.9 12.9 13.6 14.0 14.5 14.4 13.5 13.4 13.5 14.2 12.7 12.4 12.6 14.1 12.3 12.2 13.0 12.3 13.7 13.3 12.8 11.8 13.3 10.71981 10.9 10.5 11.2 12.4 14.4 14.9 13.5 13.7 13.0 12.3 14.1 13.7 14.1 14.7 15.2 15.0 14.3 13.7 12.8 13.4 13.8 14.3 14.1 13.3 13.2 13.3 14.0 12.5 12.2 12.4 13.8 12.1 12.0 12.8 12.0 13.4 12.9 12.5 11.5 12.9 10.51982 11.2 10.8 11.5 12.7 14.6 15.1 13.8 14.0 13.3 12.6 14.3 14.0 14.4 14.9 15.5 15.3 14.6 14.1 13.1 13.8 14.1 14.6 14.5 13.7 13.6 13.7 14.4 13.0 12.7 12.9 14.3 12.7 12.6 13.4 12.7 14.0 13.6 13.3 12.4 13.7 11.51983 11.6 11.2 11.9 13.1 15.0 15.5 14.2 14.4 13.7 13.1 14.8 14.4 14.9 15.4 15.9 15.7 15.1 14.6 13.7 14.3 14.7 15.2 15.1 14.3 14.3 14.4 15.0 13.7 13.5 13.7 15.0 13.5 13.5 14.3 13.6 15.0 14.6 14.4 13.5 14.9 12.91984 11.4 11.0 11.7 12.9 14.7 15.2 13.9 14.1 13.4 12.8 14.5 14.1 14.6 15.1 15.6 15.4 14.7 14.2 13.3 14.0 14.3 14.8 14.7 13.9 13.9 13.9 14.6 13.3 13.1 13.2 14.5 13.1 13.0 13.7 13.1 14.3 14.0 13.7 12.9 14.1 12.21985 11.7 11.3 12.0 13.1 15.0 15.5 14.2 14.4 13.8 13.2 14.8 14.4 14.9 15.4 15.9 15.7 15.1 14.6 13.7 14.4 14.7 15.2 15.1 14.3 14.3 14.4 15.0 13.8 13.6 13.8 15.0 13.6 13.6 14.3 13.8 15.0 14.7 14.4 13.7 14.9 13.11986 11.7 11.3 12.0 13.1 14.9 15.4 14.2 14.3 13.7 13.1 14.7 14.4 14.8 15.3 15.8 15.6 15.0 14.5 13.7 14.3 14.6 15.1 15.0 14.3 14.3 14.3 15.0 13.8 13.5 13.7 14.9 13.6 13.5 14.2 13.7 14.9 14.6 14.3 13.6 14.8 13.11987 11.5 11.1 11.7 12.8 14.6 15.1 13.8 14.0 13.4 12.8 14.4 14.0 14.4 14.9 15.4 15.2 14.6 14.1 13.3 13.9 14.2 14.6 14.5 13.8 13.8 13.8 14.4 13.3 13.0 13.2 14.3 13.0 12.9 13.6 13.1 14.1 13.8 13.6 12.9 13.9 12.31988 11.7 11.3 12.0 13.1 14.8 15.3 14.1 14.2 13.6 13.1 14.6 14.3 14.7 15.1 15.6 15.4 14.8 14.4 13.6 14.2 14.5 14.9 14.8 14.1 14.1 14.1 14.7 13.6 13.4 13.6 14.7 13.4 13.4 14.0 13.5 14.6 14.3 14.1 13.4 14.5 12.91989 11.8 11.5 12.1 13.2 14.9 15.4 14.2 14.3 13.8 13.2 14.7 14.4 14.8 15.2 15.7 15.6 15.0 14.5 13.7 14.3 14.6 15.0 15.0 14.3 14.3 14.3 14.9 13.8 13.6 13.8 14.9 13.7 13.6 14.3 13.8 14.8 14.5 14.3 13.7 14.7 13.31990 11.3 10.9 11.5 12.6 14.3 14.7 13.5 13.7 13.1 12.5 14.0 13.7 14.0 14.5 14.9 14.7 14.2 13.7 12.9 13.5 13.7 14.1 14.0 13.4 13.3 13.3 13.9 12.8 12.6 12.7 13.7 12.5 12.4 13.0 12.5 13.4 13.1 12.9 12.2 13.2 11.71991 11.7 11.4 11.9 13.0 14.6 15.1 13.9 14.1 13.5 13.0 14.4 14.1 14.5 14.9 15.4 15.2 14.6 14.2 13.5 14.0 14.3 14.7 14.6 14.0 13.9 14.0 14.5 13.5 13.3 13.4 14.4 13.3 13.2 13.8 13.3 14.3 14.0 13.8 13.2 14.1 12.81992 11.8 11.5 12.1 13.1 14.8 15.2 14.1 14.2 13.7 13.2 14.6 14.3 14.6 15.1 15.5 15.3 14.8 14.4 13.6 14.2 14.4 14.8 14.7 14.1 14.1 14.2 14.7 13.7 13.5 13.6 14.6 13.5 13.5 14.1 13.6 14.5 14.3 14.1 13.5 14.4 13.11993 12.0 11.7 12.2 13.3 14.9 15.3 14.2 14.3 13.8 13.3 14.7 14.4 14.7 15.2 15.6 15.4 14.9 14.5 13.8 14.3 14.6 15.0 14.9 14.3 14.2 14.3 14.8 13.8 13.7 13.8 14.8 13.7 13.7 14.2 13.8 14.7 14.5 14.3 13.8 14.6 13.41994 11.8 11.5 12.0 13.0 14.6 15.0 13.9 14.1 13.5 13.0 14.4 14.1 14.5 14.9 15.3 15.1 14.6 14.2 13.5 14.0 14.2 14.6 14.5 13.9 13.9 14.0 14.4 13.5 13.3 13.4 14.4 13.3 13.3 13.8 13.4 14.2 14.0 13.8 13.3 14.1 12.91995 12.1 11.8 12.3 13.3 14.9 15.3 14.2 14.4 13.8 13.4 14.7 14.4 14.8 15.2 15.6 15.4 14.9 14.5 13.8 14.4 14.6 15.0 14.9 14.3 14.3 14.4 14.9 13.9 13.8 13.9 14.8 13.8 13.8 14.3 13.9 14.8 14.6 14.4 13.9 14.7 13.61996 12.2 11.9 12.5 13.4 15.0 15.4 14.3 14.5 14.0 13.5 14.8 14.5 14.9 15.3 15.7 15.6 15.1 14.7 14.0 14.5 14.7 15.1 15.0 14.5 14.5 14.5 15.0 14.1 13.9 14.1 15.0 14.0 14.0 14.5 14.1 15.0 14.8 14.6 14.1 14.9 13.81997 12.4 12.2 12.7 13.7 15.2 15.6 14.6 14.7 14.2 13.8 15.1 14.8 15.1 15.5 16.0 15.8 15.3 15.0 14.3 14.8 15.0 15.4 15.4 14.8 14.8 14.9 15.4 14.5 14.3 14.5 15.4 14.4 14.4 14.9 14.6 15.4 15.2 15.1 14.6 15.4 14.31998 12.3 12.0 12.6 13.5 15.0 15.4 14.4 14.5 14.0 13.6 14.8 14.6 14.9 15.3 15.7 15.6 15.1 14.7 14.1 14.6 14.8 15.1 15.1 14.5 14.5 14.6 15.1 14.2 14.0 14.2 15.0 14.1 14.1 14.6 14.2 15.0 14.8 14.7 14.2 15.0 14.01999 12.4 12.1 12.6 13.6 15.1 15.4 14.4 14.6 14.1 13.6 14.9 14.6 15.0 15.4 15.8 15.6 15.1 14.8 14.1 14.6 14.9 15.2 15.1 14.6 14.6 14.7 15.1 14.3 14.1 14.3 15.1 14.2 14.2 14.7 14.3 15.1 14.9 14.8 14.4 15.1 14.12000 12.3 12.1 12.6 13.5 15.0 15.4 14.4 14.5 14.0 13.6 14.8 14.6 14.9 15.3 15.6 15.5 15.0 14.7 14.1 14.5 14.8 15.1 15.0 14.5 14.5 14.6 15.0 14.2 14.0 14.2 15.0 14.1 14.1 14.6 14.2 15.0 14.8 14.6 14.2 14.9 14.02001 12.3 12.0 12.5 13.5 14.9 15.3 14.3 14.4 14.0 13.5 14.7 14.5 14.8 15.2 15.5 15.4 14.9 14.6 14.0 14.4 14.7 15.0 14.9 14.4 14.4 14.4 14.9 14.1 13.9 14.1 14.9 14.0 14.0 14.4 14.1 14.8 14.6 14.5 14.1 14.8 13.82002 11.9 11.6 12.1 13.0 14.4 14.7 13.8 13.9 13.4 13.0 14.2 13.9 14.2 14.6 14.9 14.8 14.3 14.0 13.3 13.8 14.0 14.3 14.2 13.7 13.7 13.7 14.1 13.3 13.2 13.3 14.0 13.2 13.1 13.6 13.2 13.9 13.7 13.5 13.1 13.7 12.82003 12.3 12.0 12.5 13.4 14.8 15.2 14.2 14.3 13.9 13.4 14.6 14.4 14.7 15.0 15.4 15.3 14.8 14.5 13.9 14.3 14.5 14.9 14.8 14.3 14.3 14.3 14.7 14.0 13.8 13.9 14.7 13.9 13.9 14.3 14.0 14.6 14.5 14.3 13.9 14.6 13.72004 12.4 12.1 12.6 13.5 14.9 15.2 14.3 14.4 14.0 13.5 14.7 14.4 14.8 15.1 15.5 15.3 14.9 14.6 14.0 14.4 14.6 14.9 14.9 14.4 14.4 14.4 14.8 14.1 13.9 14.1 14.8 14.0 14.0 14.4 14.1 14.8 14.6 14.5 14.1 14.7 13.82005 12.3 12.1 12.6 13.4 14.8 15.1 14.2 14.3 13.9 13.5 14.6 14.4 14.7 15.0 15.4 15.2 14.8 14.5 13.9 14.3 14.5 14.8 14.8 14.3 14.3 14.3 14.7 14.0 13.8 13.9 14.7 13.9 13.8 14.3 14.0 14.6 14.4 14.3 13.9 14.5 13.72006 12.4 12.1 12.6 13.5 14.8 15.2 14.3 14.4 13.9 13.5 14.7 14.4 14.7 15.1 15.4 15.3 14.9 14.5 14.0 14.4 14.6 14.9 14.8 14.4 14.3 14.4 14.8 14.1 13.9 14.0 14.8 14.0 14.0 14.4 14.1 14.7 14.5 14.4 14.1 14.7 13.82007 12.2 12.0 12.4 13.3 14.6 14.9 14.0 14.1 13.7 13.3 14.4 14.2 14.5 14.8 15.1 15.0 14.6 14.2 13.7 14.1 14.3 14.6 14.5 14.0 14.0 14.1 14.4 13.7 13.6 13.7 14.4 13.6 13.6 14.0 13.7 14.3 14.1 14.0 13.6 14.2 13.42008 11.4 11.1 11.6 12.4 13.6 14.0 13.1 13.2 12.7 12.3 13.4 13.1 13.4 13.7 14.0 13.9 13.5 13.1 12.6 12.9 13.1 13.4 13.3 12.8 12.8 12.8 13.1 12.4 12.3 12.3 13.0 12.2 12.2 12.5 12.2 12.7 12.5 12.4 12.0 12.5 11.72009 11.7 11.4 11.9 12.7 13.9 14.3 13.4 13.5 13.0 12.6 13.7 13.5 13.7 14.0 14.4 14.2 13.8 13.5 12.9 13.3 13.5 13.7 13.7 13.2 13.2 13.2 13.5 12.8 12.7 12.8 13.4 12.7 12.6 13.0 12.7 13.2 13.0 12.9 12.5 13.1 12.22010 11.8 11.6 12.0 12.8 14.1 14.4 13.5 13.6 13.2 12.8 13.9 13.6 13.9 14.2 14.5 14.4 14.0 13.7 13.1 13.5 13.7 13.9 13.8 13.4 13.4 13.4 13.7 13.0 12.9 13.0 13.6 12.9 12.9 13.2 12.9 13.5 13.3 13.2 12.8 13.3 12.52011 11.6 11.3 11.8 12.6 13.8 14.1 13.3 13.4 12.9 12.5 13.6 13.3 13.6 13.9 14.2 14.1 13.7 13.3 12.8 13.2 13.3 13.6 13.5 13.1 13.0 13.1 13.4 12.7 12.6 12.6 13.3 12.5 12.5 12.8 12.5 13.1 12.9 12.7 12.4 12.9 12.12012 11.7 11.4 11.9 12.7 13.9 14.2 13.3 13.4 13.0 12.6 13.6 13.4 13.7 14.0 14.3 14.1 13.7 13.4 12.9 13.3 13.4 13.7 13.6 13.2 13.1 13.2 13.5 12.8 12.7 12.8 13.4 12.7 12.6 12.9 12.6 13.2 13.0 12.9 12.5 13.0 12.3

1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968

Page 12: Dfa matrix book us_2013 - copy

DIMENSIONAL FUND ADVISORS MATRIX BOOK 201320 21

DImENSIONAL US SmALL CAP GROWTH INDEX

1975–2012: Total Returns (%)

19751975 69.6 19761976 54.7 41.1 19771977 42.7 30.8 21.3 19781978 37.3 27.9 21.8 22.3 19791979 39.5 32.9 30.2 34.9 48.7 19801980 41.2 36.2 35.0 39.8 49.5 50.3 19811981 34.2 29.0 26.8 28.2 30.2 21.8 -1.3 19821982 33.3 28.8 26.9 28.0 29.5 23.7 12.2 27.6 19831983 32.8 28.8 27.2 28.2 29.3 24.9 17.4 28.1 28.7 19841984 27.5 23.5 21.5 21.5 21.4 16.5 9.4 13.2 6.6 -11.7 19851985 28.1 24.6 22.8 23.0 23.1 19.3 13.9 18.1 15.1 8.8 34.1 19861986 26.4 23.0 21.4 21.4 21.3 17.8 13.1 16.2 13.5 8.9 20.9 9.0 19871987 23.3 20.1 18.4 18.1 17.6 14.2 9.8 11.8 8.9 4.4 10.4 0.2 -8.0 19881988 23.4 20.4 18.8 18.6 18.3 15.3 11.5 13.5 11.3 8.1 13.7 7.6 6.9 24.2 19891989 23.2 20.4 18.9 18.7 18.4 15.7 12.4 14.3 12.5 10.0 15.0 10.6 11.2 22.2 20.1 19901990 20.5 17.8 16.3 15.9 15.4 12.7 9.6 10.8 8.9 6.3 9.7 5.4 4.5 9.0 2.0 -13.3 19911991 21.9 19.4 18.1 17.9 17.5 15.2 12.5 14.0 12.6 10.7 14.3 11.3 11.8 17.3 15.1 12.7 46.6 19921992 21.5 19.2 17.9 17.7 17.4 15.2 12.7 14.1 12.8 11.2 14.4 11.9 12.4 16.9 15.2 13.6 30.0 15.3 19931993 21.0 18.7 17.5 17.3 17.0 15.0 12.6 13.9 12.7 11.2 14.1 11.8 12.2 16.0 14.4 13.0 23.5 13.3 11.5 19941994 19.8 17.6 16.4 16.1 15.8 13.8 11.6 12.7 11.5 10.1 12.5 10.4 10.5 13.4 11.7 10.1 16.9 8.5 5.2 -0.7 19951995 20.0 18.0 16.9 16.6 16.3 14.5 12.5 13.5 12.5 11.3 13.6 11.7 12.1 14.8 13.6 12.5 18.5 12.4 11.5 11.5 25.1 19961996 19.9 17.9 16.9 16.7 16.4 14.7 12.8 13.8 12.9 11.7 13.9 12.2 12.6 15.1 14.0 13.2 18.3 13.4 12.9 13.4 21.2 17.4 19971997 20.0 18.2 17.2 17.0 16.7 15.1 13.3 14.3 13.5 12.5 14.6 13.1 13.5 15.9 15.0 14.4 19.0 14.9 14.9 15.7 21.8 20.2 23.0 19981998 19.1 17.3 16.3 16.0 15.7 14.2 12.5 13.4 12.5 11.5 13.4 11.9 12.2 14.2 13.3 12.5 16.3 12.5 12.0 12.1 15.6 12.6 10.2 -1.2 19991999 19.4 17.7 16.8 16.6 16.3 14.9 13.3 14.2 13.4 12.5 14.4 13.1 13.4 15.4 14.6 14.1 17.6 14.4 14.3 14.7 18.1 16.4 16.1 12.8 28.8 20002000 18.7 17.1 16.2 15.9 15.6 14.3 12.7 13.5 12.8 11.9 13.6 12.3 12.6 14.3 13.5 12.9 16.0 13.0 12.7 12.9 15.3 13.5 12.5 9.2 14.8 2.4 20012001 18.4 16.8 15.9 15.7 15.4 14.1 12.6 13.3 12.6 11.8 13.3 12.2 12.4 14.0 13.2 12.7 15.4 12.7 12.4 12.5 14.5 12.9 12.0 9.4 13.2 6.1 9.9 20022002 17.1 15.5 14.6 14.3 14.0 12.7 11.2 11.9 11.1 10.3 11.6 10.4 10.5 11.9 11.1 10.4 12.6 10.0 9.5 9.2 10.5 8.6 7.2 4.3 5.7 -1.0 -2.7 -13.8 20032003 17.8 16.3 15.4 15.2 14.9 13.7 12.3 13.0 12.3 11.6 13.0 11.9 12.1 13.4 12.8 12.3 14.5 12.2 11.9 11.9 13.4 12.1 11.3 9.5 11.8 7.9 9.8 9.7 39.5 20042004 17.9 16.4 15.6 15.4 15.1 14.0 12.7 13.3 12.7 12.0 13.3 12.3 12.5 13.9 13.2 12.8 14.9 12.8 12.6 12.7 14.2 13.0 12.5 11.0 13.2 10.3 12.4 13.2 29.8 20.7 20052005 17.5 16.1 15.3 15.1 14.8 13.7 12.4 13.0 12.5 11.8 13.0 12.1 12.2 13.5 12.9 12.4 14.4 12.4 12.2 12.2 13.5 12.4 11.8 10.5 12.3 9.8 11.3 11.6 21.7 13.6 7.0 20062006 17.4 16.0 15.3 15.1 14.8 13.7 12.5 13.1 12.5 11.9 13.1 12.2 12.4 13.5 13.0 12.6 14.4 12.5 12.3 12.4 13.6 12.6 12.1 11.0 12.6 10.5 11.9 12.3 19.9 14.0 10.8 14.8 20072007 16.9 15.6 14.8 14.6 14.4 13.3 12.1 12.7 12.1 11.5 12.6 11.7 11.8 12.9 12.4 12.0 13.7 11.9 11.6 11.7 12.7 11.7 11.2 10.1 11.4 9.4 10.4 10.5 16.1 10.9 7.9 8.3 2.2 20082008 14.8 13.5 12.7 12.4 12.1 11.0 9.8 10.3 9.7 9.0 9.9 9.0 9.0 9.9 9.2 8.6 10.0 8.2 7.7 7.5 8.1 6.9 6.1 4.6 5.2 2.9 3.0 2.0 4.9 -0.9 -5.7 -9.5 -19.7 -36.9 20092009 15.3 14.0 13.2 13.0 12.7 11.7 10.5 11.0 10.4 9.8 10.7 9.8 9.9 10.8 10.2 9.7 11.0 9.3 9.0 8.9 9.5 8.5 7.8 6.7 7.4 5.5 5.8 5.3 8.4 3.9 0.8 -0.7 -5.3 -8.9 31.5 20102010 15.6 14.4 13.7 13.4 13.2 12.2 11.1 11.6 11.0 10.4 11.4 10.5 10.6 11.5 10.9 10.5 11.9 10.3 10.0 10.0 10.7 9.8 9.2 8.2 9.1 7.4 7.9 7.7 10.8 7.2 5.1 4.7 2.3 2.3 30.3 29.1 20112011 15.2 14.0 13.3 13.1 12.8 11.8 10.8 11.2 10.7 10.1 11.0 10.2 10.2 11.1 10.5 10.1 11.4 9.9 9.6 9.5 10.1 9.2 8.7 7.8 8.5 6.9 7.4 7.1 9.7 6.5 4.6 4.2 2.2 2.2 20.0 14.7 1.8 20122012 15.2 14.1 13.4 13.2 12.9 12.0 10.9 11.4 10.9 10.3 11.2 10.4 10.4 11.3 10.7 10.4 11.6 10.1 9.9 9.8 10.4 9.6 9.1 8.3 9.0 7.6 8.0 7.9 10.3 7.5 5.9 5.8 4.3 4.8 18.9 15.0 8.5 15.6

1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

index data compiled by Dimensional incorporating new research on direct profitability.

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

1975

$220

1926 2012

DImENSIONAL US LARGE CAP GROWTH INDEX

1975–2012: Total Returns (%)

19751975 34.7 19761976 25.0 15.9 19771977 13.3 4.0 -6.8 19781978 12.3 5.7 1.0 9.3 19791979 13.4 8.7 6.3 13.5 17.9 19801980 17.3 14.1 13.7 21.5 28.0 38.9 19811981 13.3 10.1 9.0 13.3 14.7 13.1 -7.9 19821982 15.2 12.6 12.1 16.3 18.1 18.1 8.9 28.9 19831983 15.5 13.3 13.0 16.6 18.2 18.2 12.0 23.6 18.4 19841984 14.1 12.1 11.6 14.5 15.4 14.9 9.5 16.0 10.1 2.3 19851985 16.1 14.4 14.3 17.2 18.4 18.4 14.7 21.2 18.7 18.9 38.2 19861986 16.0 14.5 14.3 16.9 17.9 17.9 14.7 19.9 17.7 17.5 25.9 14.7 19871987 14.8 13.3 13.1 15.3 15.9 15.7 12.7 16.6 14.2 13.2 17.1 7.8 1.4 19881988 14.9 13.6 13.4 15.4 16.0 15.8 13.2 16.6 14.6 13.9 17.0 10.7 8.7 16.7 19891989 15.9 14.7 14.6 16.6 17.3 17.2 15.0 18.2 16.8 16.5 19.6 15.4 15.6 23.4 30.6 19901990 14.8 13.5 13.4 15.1 15.6 15.4 13.3 15.9 14.4 13.8 15.8 11.8 11.1 14.6 13.5 -1.3 19911991 16.5 15.4 15.4 17.2 17.8 17.8 16.0 18.7 17.7 17.6 19.9 17.1 17.6 22.1 23.9 20.7 47.7 19921992 15.8 14.8 14.7 16.3 16.9 16.8 15.1 17.5 16.4 16.2 18.0 15.4 15.5 18.6 19.0 15.4 24.8 5.5 19931993 14.9 13.9 13.8 15.2 15.6 15.4 13.8 15.8 14.7 14.4 15.8 13.2 13.0 15.1 14.8 11.2 15.7 2.4 -0.6 19941994 14.3 13.3 13.1 14.4 14.8 14.6 13.0 14.8 13.7 13.3 14.4 12.0 11.7 13.3 12.7 9.5 12.3 2.5 1.1 2.9 19951995 15.4 14.5 14.4 15.7 16.1 16.0 14.6 16.4 15.5 15.3 16.5 14.5 14.5 16.3 16.2 14.0 17.3 10.8 12.6 19.9 39.7 19961996 15.9 15.1 15.0 16.3 16.7 16.6 15.4 17.1 16.3 16.1 17.4 15.7 15.7 17.5 17.6 15.8 19.0 13.9 16.1 22.3 33.4 27.3 19971997 16.5 15.8 15.7 17.0 17.4 17.4 16.2 17.9 17.2 17.2 18.4 16.9 17.1 18.8 19.0 17.6 20.6 16.6 19.0 24.5 32.6 29.2 31.1 19981998 17.2 16.5 16.5 17.8 18.2 18.2 17.2 18.8 18.2 18.2 19.4 18.1 18.4 20.1 20.4 19.4 22.2 19.0 21.4 26.3 33.0 30.8 32.6 34.1 19991999 17.4 16.7 16.8 18.0 18.4 18.4 17.4 19.0 18.5 18.5 19.6 18.4 18.7 20.3 20.6 19.7 22.3 19.4 21.6 25.7 30.8 28.7 29.2 28.2 22.6 20002000 16.2 15.5 15.5 16.6 17.0 16.9 15.9 17.3 16.7 16.6 17.6 16.3 16.4 17.7 17.8 16.7 18.6 15.8 17.1 19.9 23.0 19.9 18.1 14.1 5.2 -9.7 20012001 15.0 14.3 14.2 15.2 15.5 15.4 14.3 15.6 14.9 14.7 15.5 14.2 14.2 15.2 15.1 13.9 15.3 12.5 13.3 15.2 17.1 13.7 11.2 6.7 -1.2 -11.3 -12.8 20022002 13.5 12.7 12.6 13.5 13.6 13.5 12.4 13.5 12.8 12.5 13.1 11.8 11.6 12.3 12.0 10.7 11.7 8.9 9.3 10.4 11.4 7.9 4.9 0.4 -6.6 -14.7 -17.2 -21.3 20032003 13.7 13.0 12.9 13.8 14.0 13.8 12.8 13.9 13.2 12.9 13.5 12.3 12.2 12.9 12.6 11.4 12.5 10.0 10.4 11.5 12.5 9.5 7.2 3.7 -1.5 -6.8 -5.8 -2.1 21.8 20042004 13.6 12.9 12.8 13.6 13.7 13.6 12.6 13.6 13.0 12.7 13.3 12.1 11.9 12.6 12.3 11.2 12.2 9.8 10.2 11.2 12.1 9.4 7.4 4.3 0.1 -3.9 -2.4 1.3 14.9 8.4 20052005 13.2 12.5 12.4 13.2 13.3 13.1 12.2 13.1 12.5 12.2 12.7 11.6 11.4 12.0 11.7 10.6 11.5 9.3 9.6 10.5 11.2 8.7 6.8 4.1 0.4 -2.9 -1.5 1.5 10.5 5.3 2.2 20062006 13.1 12.5 12.3 13.1 13.2 13.0 12.1 13.0 12.4 12.2 12.6 11.5 11.4 11.9 11.7 10.7 11.5 9.4 9.7 10.5 11.2 8.9 7.2 4.8 1.6 -1.1 0.5 3.4 10.6 7.1 6.5 10.9 20072007 13.0 12.4 12.3 13.0 13.1 12.9 12.1 12.9 12.3 12.1 12.5 11.5 11.3 11.9 11.6 10.6 11.4 9.4 9.7 10.5 11.1 9.0 7.5 5.4 2.6 0.3 1.8 4.5 10.6 7.9 7.8 10.6 10.3 20082008 11.4 10.8 10.6 11.3 11.3 11.1 10.2 10.9 10.3 10.0 10.3 9.3 9.0 9.4 9.0 8.0 8.6 6.6 6.7 7.2 7.5 5.3 3.7 1.5 -1.3 -3.6 -2.8 -1.3 2.5 -1.0 -3.3 -5.0 -12.1 -30.0 20092009 11.8 11.2 11.1 11.7 11.8 11.6 10.7 11.5 10.9 10.6 10.9 9.9 9.7 10.1 9.8 8.9 9.4 7.6 7.8 8.3 8.7 6.7 5.3 3.4 1.0 -1.0 0.1 1.8 5.6 3.1 2.1 2.1 -0.7 -5.8 26.7 20102010 12.0 11.4 11.3 11.9 12.0 11.8 11.0 11.7 11.1 10.9 11.2 10.2 10.1 10.5 10.2 9.3 9.8 8.1 8.3 8.9 9.2 7.5 6.2 4.5 2.3 0.6 1.7 3.5 7.1 5.1 4.6 5.1 3.6 1.5 22.2 17.9 20112011 11.9 11.3 11.1 11.7 11.8 11.6 10.8 11.5 11.0 10.7 11.0 10.1 9.9 10.3 10.0 9.2 9.7 8.1 8.2 8.7 9.1 7.4 6.2 4.6 2.6 1.1 2.1 3.8 7.0 5.3 4.8 5.3 4.2 2.7 16.7 12.0 6.4 20122012 11.9 11.4 11.3 11.8 11.9 11.7 11.0 11.6 11.1 10.8 11.2 10.3 10.1 10.5 10.2 9.4 9.9 8.4 8.5 9.0 9.4 7.8 6.7 5.3 3.5 2.1 3.2 4.8 7.8 6.4 6.1 6.7 6.0 5.1 16.3 13.1 10.7 15.3

1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

index data compiled by Dimensional incorporating new research on direct profitability.

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

1975

$73

1926 2012

Page 13: Dfa matrix book us_2013 - copy

DIMENSIONAL FUND ADVISORS MATRIX BOOK 201322 23

FAmA/FRENCH US LARGE VALUE RESEARCH INDEX

1927–2012: Total Returns (%)

Data provided by fama/french.

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

1927

$12,910

2012

19271927 34.6 19281928 29.7 25.0 19291929 17.2 9.3 -4.4 19301930 -2.3 -12.2 -26.4 -43.3 19311931 -17.4 -26.9 -38.9 -51.2 -57.9 19321932 -15.4 -22.9 -31.7 -38.9 -36.5 -4.3 19331933 -3.3 -8.5 -14.1 -16.3 -4.7 43.4 19341934 -5.9 -10.6 -15.4 -17.5 -9.3 17.1 29.6 -21.8 19351935 -0.8 -4.5 -8.1 -8.7 0.4 24.8 36.3 8.6 50.7 19361936 3.2 0.2 -2.5 -2.2 7.1 29.1 39.1 20.3 49.3 47.9 19371937 -1.9 -4.9 -7.8 -8.2 -1.7 13.3 17.2 0.7 9.5 -6.6 -41.0 19381938 0.1 -2.5 -4.9 -5.0 1.4 15.0 18.5 5.2 13.3 3.1 -13.9 25.6 19391939 -0.9 -3.4 -5.7 -5.8 -0.3 11.0 13.4 1.9 7.5 -1.3 -13.7 4.4 -13.2 19401940 -1.1 -3.4 -5.4 -5.5 -0.6 9.4 11.3 1.3 5.7 -1.5 -11.0 2.1 -8.0 -2.4 19411941 -1.1 -3.2 -5.1 -5.2 -0.6 8.3 9.8 1.0 4.7 -1.4 -9.1 1.3 -5.8 -1.8 -1.2 19421942 0.8 -1.1 -2.8 -2.6 1.9 10.4 12.0 4.1 7.9 2.9 -3.1 7.0 2.8 8.8 14.8 33.4 19431943 2.9 1.2 -0.2 0.1 4.6 12.9 14.6 7.6 11.5 7.3 2.5 12.5 10.0 16.7 23.9 38.7 44.2 19441944 4.8 3.3 2.1 2.5 7.0 14.9 16.7 10.4 14.2 10.8 6.9 16.3 14.8 21.5 28.3 40.0 43.3 42.5 19451945 6.8 5.5 4.4 5.0 9.4 17.1 18.9 13.2 17.1 14.2 10.9 20.1 19.3 25.8 32.3 42.4 45.5 46.1 49.8 19461946 6.0 4.7 3.7 4.2 8.2 15.2 16.8 11.4 14.8 11.9 8.9 16.5 15.5 20.3 24.5 30.4 29.7 25.2 17.3 -8.1 19471947 6.1 4.9 3.9 4.4 8.2 14.8 16.2 11.2 14.3 11.7 8.9 15.7 14.7 18.8 22.1 26.5 25.2 20.9 14.4 0.0 8.8 19481948 6.1 4.9 4.0 4.4 8.0 14.2 15.5 10.8 13.6 11.1 8.5 14.7 13.7 17.1 19.8 23.2 21.5 17.5 11.9 1.5 6.7 4.7 19491949 6.6 5.5 4.6 5.1 8.5 14.4 15.6 11.2 13.9 11.6 9.2 15.0 14.1 17.2 19.6 22.5 21.0 17.6 13.1 5.5 10.4 11.2 18.1 19501950 8.3 7.3 6.5 7.1 10.6 16.3 17.6 13.5 16.2 14.2 12.1 17.8 17.1 20.4 22.9 25.9 25.0 22.5 19.5 14.2 20.6 24.8 36.2 56.9 19511951 8.5 7.5 6.8 7.4 10.7 16.2 17.4 13.5 16.0 14.1 12.2 17.4 16.8 19.8 22.0 24.6 23.7 21.3 18.6 14.0 19.1 21.8 28.1 33.4 13.4 19521952 8.9 8.0 7.4 7.9 11.1 16.4 17.5 13.8 16.2 14.5 12.7 17.6 17.1 19.8 21.9 24.2 23.3 21.2 18.8 14.9 19.3 21.5 26.1 28.8 16.7 20.2 19531953 8.3 7.4 6.7 7.2 10.2 15.1 16.2 12.6 14.8 13.1 11.3 15.8 15.2 17.6 19.3 21.2 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15.1 14.9 15.81999 12.9 12.6 12.4 12.7 13.8 15.5 15.8 14.7 15.4 14.9 14.5 15.7 15.5 16.1 16.4 16.8 16.5 16.0 15.6 15.1 15.5 15.7 15.9 15.9 15.1 15.2 15.1 15.6 14.5 14.2 14.5 15.6 14.4 14.3 15.0 14.6 15.2 14.7 14.6 14.4 15.22000 12.9 12.7 12.5 12.8 13.9 15.5 15.9 14.8 15.5 15.0 14.5 15.8 15.6 16.1 16.5 16.8 16.5 16.1 15.7 15.1 15.6 15.8 16.0 15.9 15.2 15.3 15.2 15.7 14.6 14.3 14.6 15.7 14.6 14.5 15.1 14.8 15.3 14.8 14.7 14.5 15.42001 12.8 12.5 12.3 12.6 13.7 15.3 15.6 14.6 15.2 14.7 14.3 15.5 15.3 15.9 16.2 16.5 16.2 15.8 15.4 14.8 15.3 15.4 15.7 15.6 14.9 14.9 14.8 15.4 14.3 14.0 14.3 15.3 14.2 14.1 14.7 14.4 14.9 14.4 14.3 14.1 14.92002 12.2 11.9 11.7 12.0 13.0 14.6 14.9 13.9 14.5 14.0 13.6 14.7 14.6 15.1 15.4 15.7 15.4 15.0 14.5 14.0 14.4 14.5 14.7 14.7 14.0 14.0 13.9 14.4 13.3 13.0 13.2 14.2 13.1 13.0 13.5 13.2 13.6 13.2 13.0 12.8 13.52003 12.3 12.1 11.9 12.2 13.2 14.8 15.1 14.0 14.7 14.2 13.8 14.9 14.8 15.3 15.6 15.9 15.6 15.2 14.7 14.2 14.7 14.8 15.0 14.9 14.2 14.2 14.1 14.6 13.6 13.3 13.5 14.5 13.4 13.3 13.9 13.5 14.0 13.5 13.4 13.2 13.92004 12.4 12.2 12.0 12.3 13.3 14.8 15.1 14.1 14.7 14.3 13.9 15.0 14.8 15.3 15.6 15.9 15.7 15.2 14.8 14.3 14.7 14.9 15.0 15.0 14.3 14.3 14.2 14.7 13.7 13.4 13.6 14.6 13.6 13.4 14.0 13.7 14.1 13.7 13.6 13.3 14.12005 12.4 12.2 12.0 12.3 13.3 14.8 15.1 14.1 14.7 14.3 13.8 14.9 14.8 15.3 15.6 15.9 15.6 15.2 14.8 14.3 14.7 14.8 15.0 14.9 14.3 14.3 14.2 14.7 13.7 13.4 13.6 14.5 13.5 13.4 14.0 13.6 14.1 13.7 13.5 13.3 14.02006 12.6 12.3 12.2 12.4 13.4 14.9 15.2 14.2 14.8 14.4 14.0 15.1 14.9 15.4 15.7 16.0 15.7 15.3 14.9 14.4 14.8 15.0 15.1 15.1 14.5 14.5 14.4 14.8 13.9 13.6 13.8 14.7 13.7 13.6 14.2 13.8 14.3 13.9 13.8 13.6 14.22007 12.5 12.2 12.0 12.3 13.3 14.8 15.0 14.1 14.7 14.2 13.8 14.9 14.7 15.2 15.5 15.8 15.5 15.1 14.7 14.2 14.6 14.7 14.9 14.9 14.2 14.3 14.2 14.6 13.7 13.4 13.6 14.5 13.5 13.4 13.9 13.6 14.0 13.6 13.5 13.3 14.02008 11.6 11.4 11.2 11.4 12.4 13.8 14.1 13.1 13.7 13.3 12.8 13.9 13.7 14.2 14.4 14.7 14.4 14.0 13.6 13.1 13.5 13.6 13.7 13.6 13.0 13.0 12.9 13.3 12.4 12.1 12.2 13.1 12.1 12.0 12.4 12.1 12.5 12.1 11.9 11.7 12.32009 11.7 11.5 11.3 11.5 12.5 13.9 14.2 13.2 13.8 13.4 13.0 14.0 13.8 14.3 14.5 14.8 14.5 14.1 13.7 13.3 13.6 13.7 13.9 13.8 13.2 13.2 13.0 13.5 12.5 12.2 12.4 13.2 12.3 12.2 12.6 12.3 12.7 12.3 12.1 11.9 12.52010 11.7 11.5 11.3 11.5 12.5 13.9 14.1 13.2 13.8 13.3 12.9 13.9 13.8 14.2 14.5 14.7 14.5 14.1 13.7 13.2 13.6 13.7 13.8 13.7 13.1 13.1 13.0 13.4 12.5 12.2 12.4 13.2 12.3 12.1 12.6 12.3 12.6 12.2 12.1 11.9 12.52011 11.5 11.2 11.1 11.3 12.2 13.6 13.8 12.9 13.5 13.0 12.6 13.6 13.5 13.9 14.1 14.4 14.1 13.7 13.3 12.9 13.2 13.3 13.4 13.4 12.8 12.8 12.6 13.0 12.1 11.8 12.0 12.8 11.9 11.7 12.2 11.9 12.2 11.8 11.7 11.4 12.02012 11.6 11.4 11.2 11.4 12.4 13.7 14.0 13.1 13.6 13.2 12.8 13.8 13.6 14.0 14.3 14.5 14.3 13.9 13.5 13.0 13.4 13.5 13.6 13.5 12.9 12.9 12.8 13.2 12.3 12.1 12.2 13.0 12.1 12.0 12.4 12.1 12.4 12.1 11.9 11.7 12.3

1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967

19681968 27.0 19691969 3.0 -16.4 19701970 5.4 -3.9 10.5 19711971 7.6 1.8 12.4 14.4 19721972 9.7 5.7 14.3 16.3 18.2 19731973 7.3 3.7 9.4 9.1 6.5 -4.0 19741974 2.2 -1.4 1.9 -0.1 -4.5 -14.2 -23.2 19751975 7.7 5.2 9.4 9.2 7.9 4.6 9.3 55.5 19761976 11.3 9.5 13.8 14.4 14.4 13.4 19.9 49.9 44.5 19771977 10.3 8.6 12.2 12.4 12.1 10.9 15.0 31.6 21.0 1.3 19781978 9.7 8.1 11.2 11.3 10.9 9.7 12.7 24.0 15.0 2.6 3.8 19791979 10.7 9.3 12.3 12.5 12.3 11.4 14.3 23.7 16.8 8.9 12.8 22.6 19801980 11.1 9.9 12.7 12.9 12.7 12.1 14.6 22.5 16.8 10.7 14.0 19.5 16.5 19811981 11.3 10.2 12.8 13.0 12.9 12.3 14.5 21.2 16.3 11.4 14.0 17.7 15.3 14.2 19821982 12.4 11.4 13.9 14.2 14.1 13.7 15.9 22.0 17.9 13.9 16.6 20.1 19.2 20.7 27.5 19831983 13.2 12.4 14.8 15.1 15.2 14.9 17.0 22.6 19.0 15.7 18.3 21.5 21.2 22.8 27.3 27.2 19841984 13.4 12.6 14.8 15.2 15.2 15.0 16.9 21.9 18.6 15.8 18.0 20.5 20.1 21.1 23.4 21.4 16.0 19851985 14.3 13.6 15.8 16.2 16.3 16.2 18.0 22.8 19.9 17.4 19.6 22.1 22.0 23.1 25.4 24.8 23.6 31.6 19861986 14.7 14.0 16.1 16.5 16.7 16.5 18.3 22.6 20.0 17.8 19.8 22.0 21.9 22.8 24.6 23.9 22.8 26.4 21.4 19871987 13.8 13.1 15.0 15.3 15.4 15.2 16.7 20.5 18.0 15.8 17.4 19.0 18.6 18.9 19.7 18.2 16.0 16.1 9.0 -2.1 19881988 14.3 13.7 15.6 15.9 16.0 15.8 17.3 20.9 18.6 16.7 18.2 19.7 19.4 19.8 20.6 19.5 18.0 18.5 14.4 11.1 26.1 19891989 15.0 14.5 16.3 16.6 16.7 16.6 18.1 21.5 19.4 17.6 19.1 20.6 20.4 20.9 21.7 20.9 19.9 20.7 18.1 17.1 28.0 30.1 19901990 13.6 13.0 14.7 14.9 14.9 14.7 15.9 19.0 16.9 15.1 16.2 17.3 16.9 16.9 17.2 16.0 14.5 14.3 11.1 8.6 12.5 6.2 -13.2 19911991 14.1 13.6 15.2 15.4 15.5 15.4 16.5 19.4 17.5 15.9 17.0 18.1 17.7 17.8 18.2 17.2 16.0 16.0 13.6 12.1 16.0 12.8 5.1 27.2 19921992 14.5 14.0 15.6 15.8 15.9 15.8 16.9 19.7 17.9 16.4 17.5 18.5 18.2 18.3 18.7 17.9 16.9 17.0 15.1 14.0 17.6 15.5 11.1 25.7 24.1 19931993 14.8 14.4 15.9 16.1 16.2 16.1 17.2 19.8 18.1 16.7 17.8 18.7 18.5 18.6 19.0 18.3 17.4 17.6 15.9 15.2 18.3 16.8 13.8 24.5 23.2 22.2 19941994 14.0 13.5 14.9 15.1 15.1 15.0 16.0 18.4 16.7 15.3 16.2 17.0 16.7 16.7 16.9 16.0 15.1 15.0 13.3 12.3 14.5 12.7 9.5 16.1 12.6 7.3 -5.8 19951995 14.7 14.3 15.7 15.9 15.9 15.8 16.8 19.2 17.6 16.4 17.3 18.1 17.8 17.9 18.2 17.5 16.7 16.8 15.4 14.8 17.1 15.9 13.6 19.9 18.2 16.3 13.4 36.6 19961996 14.7 14.3 15.6 15.8 15.9 15.8 16.7 19.0 17.5 16.3 17.1 17.9 17.6 17.7 18.0 17.3 16.6 16.6 15.4 14.8 16.8 15.7 13.8 19.0 17.5 15.9 13.8 25.2 14.7 19971997 15.1 14.7 16.0 16.2 16.3 16.2 17.2 19.3 17.9 16.8 17.6 18.4 18.2 18.3 18.5 17.9 17.3 17.4 16.3 15.9 17.8 16.9 15.4 20.2 19.1 18.1 17.1 25.9 20.8 27.3 19981998 15.3 14.9 16.2 16.4 16.5 16.4 17.3 19.4 18.1 17.0 17.8 18.5 18.3 18.4 18.7 18.1 17.6 17.7 16.7 16.3 18.1 17.3 16.0 20.3 19.3 18.6 17.8 24.6 20.9 24.1 21.0 19991999 14.7 14.4 15.6 15.8 15.8 15.7 16.5 18.5 17.2 16.1 16.8 17.5 17.2 17.3 17.5 16.9 16.3 16.3 15.3 14.8 16.4 15.5 14.2 17.7 16.5 15.5 14.4 19.0 14.9 15.0 9.3 -1.3 20002000 14.9 14.5 15.7 15.9 15.9 15.8 16.7 18.5 17.3 16.3 16.9 17.6 17.3 17.4 17.6 17.0 16.5 16.5 15.6 15.1 16.6 15.8 14.6 17.9 16.9 16.0 15.1 19.0 15.8 16.1 12.6 8.6 19.5 20012001 14.4 14.1 15.2 15.3 15.4 15.3 16.0 17.8 16.5 15.6 16.2 16.8 16.5 16.5 16.6 16.1 15.5 15.5 14.5 14.1 15.3 14.5 13.3 16.1 15.1 14.1 13.1 16.1 13.0 12.7 9.3 5.6 9.3 0.0 20022002 13.0 12.7 13.7 13.8 13.8 13.6 14.3 15.9 14.7 13.6 14.2 14.6 14.3 14.2 14.2 13.6 12.9 12.7 11.7 11.1 12.1 11.1 9.8 12.0 10.7 9.4 8.1 9.9 6.6 5.3 1.4 -3.0 -3.6 -13.4 -25.0 20032003 13.4 13.1 14.1 14.2 14.2 14.1 14.7 16.3 15.1 14.1 14.7 15.1 14.8 14.8 14.8 14.2 13.6 13.5 12.5 12.0 13.0 12.2 11.0 13.1 12.0 11.0 9.9 11.8 9.0 8.3 5.4 2.5 3.5 -1.4 -2.1 27.8 20042004 13.6 13.3 14.2 14.4 14.4 14.2 14.9 16.4 15.3 14.4 14.9 15.3 15.0 15.0 15.0 14.5 13.9 13.8 12.9 12.5 13.4 12.6 11.6 13.6 12.6 11.7 10.8 12.6 10.2 9.7 7.4 5.2 6.6 3.6 4.8 23.9 20.1 20052005 13.6 13.2 14.2 14.3 14.3 14.2 14.8 16.3 15.2 14.3 14.8 15.2 14.9 14.8 14.9 14.4 13.8 13.7 12.9 12.4 13.3 12.6 11.6 13.5 12.6 11.7 10.9 12.5 10.4 9.9 7.9 6.2 7.5 5.2 6.6 19.8 16.0 12.0 20062006 13.8 13.5 14.4 14.5 14.5 14.4 15.1 16.5 15.4 14.6 15.1 15.5 15.2 15.2 15.2 14.7 14.2 14.2 13.4 13.0 13.9 13.2 12.3 14.1 13.3 12.6 11.8 13.5 11.6 11.3 9.6 8.2 9.7 8.1 9.8 20.8 18.6 17.8 24.0 20072007 13.5 13.2 14.1 14.2 14.2 14.1 14.7 16.1 15.0 14.2 14.7 15.0 14.8 14.7 14.7 14.3 13.8 13.7 12.9 12.5 13.3 12.7 11.8 13.5 12.6 11.9 11.2 12.6 10.9 10.5 9.0 7.7 8.9 7.4 8.7 17.1 14.6 12.8 13.2 3.3 20082008 11.8 11.5 12.3 12.4 12.3 12.1 12.6 13.9 12.8 12.0 12.3 12.6 12.3 12.2 12.1 11.5 10.9 10.7 9.9 9.4 10.0 9.3 8.3 9.6 8.6 7.7 6.8 7.8 5.9 5.2 3.3 1.7 2.1 0.1 0.1 5.0 1.0 -3.3 -8.0 -20.7 -39.1 20092009 12.1 11.7 12.6 12.6 12.6 12.4 12.9 14.2 13.1 12.3 12.7 12.9 12.6 12.5 12.5 11.9 11.4 11.2 10.4 10.0 10.6 9.9 8.9 10.3 9.4 8.6 7.8 8.7 7.0 6.4 4.8 3.5 4.0 2.4 2.7 7.4 4.3 1.4 -1.1 -8.2 -13.5 22.9 20102010 12.0 11.7 12.5 12.5 12.5 12.4 12.8 14.0 13.0 12.2 12.6 12.9 12.6 12.4 12.4 11.9 11.3 11.2 10.4 10.0 10.5 9.9 9.0 10.3 9.4 8.7 7.9 8.8 7.2 6.7 5.2 4.0 4.5 3.1 3.5 7.7 5.1 2.8 1.1 -3.9 -6.2 16.4 10.2 20112011 11.6 11.2 12.0 12.0 12.0 11.8 12.3 13.4 12.4 11.6 12.0 12.2 11.9 11.8 11.7 11.2 10.6 10.4 9.7 9.3 9.8 9.1 8.2 9.4 8.6 7.8 7.0 7.8 6.3 5.7 4.3 3.2 3.5 2.2 2.4 6.0 3.6 1.4 -0.3 -4.5 -6.4 8.1 1.4 -6.8 20122012 11.9 11.5 12.3 12.3 12.3 12.1 12.6 13.7 12.8 12.0 12.3 12.6 12.3 12.1 12.1 11.6 11.1 10.9 10.2 9.8 10.3 9.7 8.9 10.0 9.3 8.6 7.9 8.7 7.3 6.8 5.6 4.6 5.0 3.9 4.3 7.8 5.7 4.1 3.0 -0.1 -0.8 12.0 8.7 7.9 24.9

1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

Page 14: Dfa matrix book us_2013 - copy

DIMENSIONAL FUND ADVISORS MATRIX BOOK 201324 25

Data provided by fama/french.

FAmA/FRENCH US SmALL VALUE RESEARCH INDEX

1927–2012: Total Returns (%)

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

1927

$139,603

2012

19271927 35.6 19281928 38.9 42.4 19291929 6.8 -5.2 -36.8 19301930 -9.6 -21.1 -41.2 -45.3 19311931 -20.3 -30.2 -44.9 -48.6 -51.7 19321932 -16.8 -24.6 -35.6 -35.3 -29.5 2.8 19331933 -4.1 -9.4 -17.3 -11.5 3.9 52.4 19341934 -2.6 -7.1 -13.5 -7.9 4.9 35.9 56.2 8.0 19351935 2.4 -1.1 -6.1 0.3 13.3 40.2 55.4 28.9 53.9 19361936 8.1 5.4 1.5 8.6 21.8 46.5 60.1 42.7 64.1 74.9 19371937 0.7 -2.2 -6.2 -1.4 7.2 22.4 26.8 9.8 10.4 -6.5 -50.1 19381938 2.6 0.1 -3.4 1.3 9.4 23.0 26.7 12.8 14.1 3.2 -20.7 26.0 19391939 2.1 -0.3 -3.4 0.7 7.8 19.2 21.8 9.9 10.2 1.4 -15.5 10.0 -4.0 19401940 1.2 -1.1 -4.0 -0.3 5.8 15.5 17.2 6.7 6.5 -1.1 -14.3 2.7 -7.3 -10.5 19411941 0.8 -1.4 -4.1 -0.7 4.8 13.3 14.5 5.2 4.8 -1.7 -12.4 0.8 -6.4 -7.6 -4.6 19421942 2.6 0.7 -1.7 1.7 7.1 15.1 16.4 8.2 8.2 2.9 -5.8 6.9 2.6 4.9 13.6 35.3 19431943 6.5 4.9 2.8 6.4 12.0 20.2 21.9 14.6 15.4 11.3 4.3 17.9 16.4 22.1 35.5 61.5 92.8 19441944 8.6 7.2 5.3 8.9 14.4 22.3 24.0 17.5 18.5 15.1 9.2 22.1 21.5 27.3 39.0 57.7 70.2 50.3 19451945 11.3 10.0 8.4 12.1 17.6 25.3 27.2 21.3 22.6 19.8 14.9 27.5 27.7 34.0 45.2 61.3 71.1 61.2 72.8 19461946 10.2 9.0 7.4 10.8 15.9 22.8 24.4 18.8 19.8 17.1 12.4 23.1 22.7 27.1 34.7 44.3 46.7 34.0 26.5 -7.5 19471947 10.0 8.8 7.3 10.5 15.2 21.6 23.0 17.8 18.6 16.0 11.8 21.1 20.6 24.1 30.0 36.9 37.3 26.1 18.9 -1.4 5.2 19481948 9.4 8.3 6.8 9.8 14.1 20.0 21.2 16.3 16.9 14.5 10.5 18.7 18.0 20.8 25.4 30.4 29.6 19.7 13.1 -1.8 1.1 -2.7 19491949 9.9 8.8 7.5 10.3 14.5 20.1 21.2 16.6 17.2 14.9 11.3 19.0 18.4 20.9 25.0 29.3 28.4 20.0 14.7 3.6 7.5 8.7 21.5 19501950 11.4 10.4 9.1 12.0 16.1 21.6 22.7 18.4 19.1 17.1 13.8 21.2 20.8 23.3 27.4 31.5 31.1 24.0 20.1 11.7 17.1 21.4 35.6 51.3 19511951 11.4 10.5 9.3 12.0 15.9 21.1 22.2 18.1 18.7 16.8 13.7 20.5 20.1 22.4 25.9 29.5 28.8 22.5 19.0 11.8 16.1 19.0 27.3 30.3 12.3 19521952 11.3 10.4 9.3 11.9 15.6 20.5 21.5 17.6 18.1 16.3 13.4 19.7 19.3 21.3 24.4 27.5 26.7 21.0 17.7 11.4 14.9 17.0 22.5 22.9 10.7 9.2 19531953 10.6 9.7 8.6 11.1 14.5 19.1 20.0 16.2 16.7 14.9 12.1 17.9 17.4 19.1 21.7 24.2 23.3 17.9 14.8 9.0 11.6 12.7 16.1 14.8 4.7 1.1 -6.4 19541954 12.1 11.4 10.3 12.8 16.3 20.8 21.7 18.1 18.7 17.1 14.5 20.2 19.8 21.6 24.3 26.9 26.2 21.4 18.9 14.0 17.1 18.9 22.9 23.2 17.0 18.6 23.6 63.3 19551955 12.5 11.8 10.8 13.2 16.6 20.9 21.8 18.4 18.9 17.4 15.0 20.4 20.1 21.8 24.3 26.7 26.0 21.7 19.3 15.0 17.8 19.5 23.1 23.3 18.4 19.9 23.8 42.3 24.0 19561956 12.3 11.6 10.6 13.0 16.2 20.3 21.1 17.9 18.3 16.9 14.5 19.6 19.3 20.8 23.1 25.2 24.5 20.4 18.2 14.2 16.6 18.0 20.9 20.8 16.3 17.1 19.2 29.2 15.0 6.6 19571957 11.3 10.6 9.6 11.8 14.8 18.7 19.3 16.2 16.6 15.1 12.8 17.5 17.1 18.4 20.4 22.1 21.3 17.4 15.2 11.3 13.2 14.0 16.1 15.4 11.0 10.8 11.2 16.1 3.6 -5.4 -16.0 19581958 12.8 12.1 11.2 13.4 16.4 20.3 21.0 18.0 18.4 17.1 15.0 19.6 19.3 20.7 22.7 24.6 23.9 20.3 18.4 15.0 17.1 18.3 20.6 20.5 17.2 17.9 19.4 25.3 17.3 15.2 19.7 70.5 19591959 12.9 12.3 11.4 13.6 16.5 20.2 20.9 18.0 18.4 17.1 15.1 19.6 19.3 20.6 22.5 24.2 23.6 20.2 18.4 15.3 17.2 18.3 20.4 20.3 17.3 17.9 19.2 24.1 17.5 15.9 19.2 41.9 18.1 19601960 12.3 11.7 10.8 12.9 15.6 19.2 19.8 17.0 17.4 16.1 14.2 18.3 18.0 19.2 20.9 22.4 21.7 18.5 16.7 13.7 15.4 16.2 17.9 17.6 14.7 15.0 15.7 19.3 13.2 11.2 12.3 23.7 5.4 -5.9 19611961 12.8 12.2 11.4 13.4 16.1 19.6 20.2 17.5 17.9 16.7 14.8 18.9 18.6 19.7 21.4 22.8 22.2 19.2 17.5 14.8 16.4 17.3 19.0 18.7 16.2 16.6 17.4 20.8 15.7 14.3 16.0 25.7 13.5 11.3 31.7 19621962 12.2 11.6 10.8 12.7 15.2 18.5 19.1 16.5 16.8 15.6 13.8 17.6 17.3 18.3 19.8 21.1 20.4 17.5 15.9 13.2 14.6 15.3 16.7 16.4 13.8 14.0 14.5 17.1 12.3 10.7 11.4 17.9 7.5 4.1 9.6 -8.8 19631963 12.6 12.0 11.3 13.1 15.6 18.8 19.4 16.9 17.2 16.1 14.3 18.0 17.7 18.7 20.2 21.5 20.8 18.0 16.6 14.0 15.4 16.1 17.5 17.2 14.9 15.2 15.7 18.2 14.0 12.8 13.8 19.6 11.5 9.8 15.7 8.4 28.9 19641964 12.9 12.3 11.6 13.4 15.9 19.0 19.5 17.1 17.4 16.3 14.7 18.2 17.9 18.9 20.3 21.6 21.0 18.3 16.9 14.5 15.9 16.6 17.9 17.6 15.6 15.8 16.4 18.7 15.0 14.0 15.0 20.3 13.5 12.5 17.7 13.4 26.4 24.0 19651965 13.6 13.0 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1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967

19681968 27.0 19691969 3.0 -16.4 19701970 5.4 -3.9 10.5 19711971 7.6 1.8 12.4 14.4 19721972 9.7 5.7 14.3 16.3 18.2 19731973 7.3 3.7 9.4 9.1 6.5 -4.0 19741974 2.2 -1.4 1.9 -0.1 -4.5 -14.2 -23.2 19751975 7.7 5.2 9.4 9.2 7.9 4.6 9.3 55.5 19761976 11.3 9.5 13.8 14.4 14.4 13.4 19.9 49.9 44.5 19771977 10.3 8.6 12.2 12.4 12.1 10.9 15.0 31.6 21.0 1.3 19781978 9.7 8.1 11.2 11.3 10.9 9.7 12.7 24.0 15.0 2.6 3.8 19791979 10.7 9.3 12.3 12.5 12.3 11.4 14.3 23.7 16.8 8.9 12.8 22.6 19801980 11.1 9.9 12.7 12.9 12.7 12.1 14.6 22.5 16.8 10.7 14.0 19.5 16.5 19811981 11.3 10.2 12.8 13.0 12.9 12.3 14.5 21.2 16.3 11.4 14.0 17.7 15.3 14.2 19821982 12.4 11.4 13.9 14.2 14.1 13.7 15.9 22.0 17.9 13.9 16.6 20.1 19.2 20.7 27.5 19831983 13.2 12.4 14.8 15.1 15.2 14.9 17.0 22.6 19.0 15.7 18.3 21.5 21.2 22.8 27.3 27.2 19841984 13.4 12.6 14.8 15.2 15.2 15.0 16.9 21.9 18.6 15.8 18.0 20.5 20.1 21.1 23.4 21.4 16.0 19851985 14.3 13.6 15.8 16.2 16.3 16.2 18.0 22.8 19.9 17.4 19.6 22.1 22.0 23.1 25.4 24.8 23.6 31.6 19861986 14.7 14.0 16.1 16.5 16.7 16.5 18.3 22.6 20.0 17.8 19.8 22.0 21.9 22.8 24.6 23.9 22.8 26.4 21.4 19871987 13.8 13.1 15.0 15.3 15.4 15.2 16.7 20.5 18.0 15.8 17.4 19.0 18.6 18.9 19.7 18.2 16.0 16.1 9.0 -2.1 19881988 14.3 13.7 15.6 15.9 16.0 15.8 17.3 20.9 18.6 16.7 18.2 19.7 19.4 19.8 20.6 19.5 18.0 18.5 14.4 11.1 26.1 19891989 15.0 14.5 16.3 16.6 16.7 16.6 18.1 21.5 19.4 17.6 19.1 20.6 20.4 20.9 21.7 20.9 19.9 20.7 18.1 17.1 28.0 30.1 19901990 13.6 13.0 14.7 14.9 14.9 14.7 15.9 19.0 16.9 15.1 16.2 17.3 16.9 16.9 17.2 16.0 14.5 14.3 11.1 8.6 12.5 6.2 -13.2 19911991 14.1 13.6 15.2 15.4 15.5 15.4 16.5 19.4 17.5 15.9 17.0 18.1 17.7 17.8 18.2 17.2 16.0 16.0 13.6 12.1 16.0 12.8 5.1 27.2 19921992 14.5 14.0 15.6 15.8 15.9 15.8 16.9 19.7 17.9 16.4 17.5 18.5 18.2 18.3 18.7 17.9 16.9 17.0 15.1 14.0 17.6 15.5 11.1 25.7 24.1 19931993 14.8 14.4 15.9 16.1 16.2 16.1 17.2 19.8 18.1 16.7 17.8 18.7 18.5 18.6 19.0 18.3 17.4 17.6 15.9 15.2 18.3 16.8 13.8 24.5 23.2 22.2 19941994 14.0 13.5 14.9 15.1 15.1 15.0 16.0 18.4 16.7 15.3 16.2 17.0 16.7 16.7 16.9 16.0 15.1 15.0 13.3 12.3 14.5 12.7 9.5 16.1 12.6 7.3 -5.8 19951995 14.7 14.3 15.7 15.9 15.9 15.8 16.8 19.2 17.6 16.4 17.3 18.1 17.8 17.9 18.2 17.5 16.7 16.8 15.4 14.8 17.1 15.9 13.6 19.9 18.2 16.3 13.4 36.6 19961996 14.7 14.3 15.6 15.8 15.9 15.8 16.7 19.0 17.5 16.3 17.1 17.9 17.6 17.7 18.0 17.3 16.6 16.6 15.4 14.8 16.8 15.7 13.8 19.0 17.5 15.9 13.8 25.2 14.7 19971997 15.1 14.7 16.0 16.2 16.3 16.2 17.2 19.3 17.9 16.8 17.6 18.4 18.2 18.3 18.5 17.9 17.3 17.4 16.3 15.9 17.8 16.9 15.4 20.2 19.1 18.1 17.1 25.9 20.8 27.3 19981998 15.3 14.9 16.2 16.4 16.5 16.4 17.3 19.4 18.1 17.0 17.8 18.5 18.3 18.4 18.7 18.1 17.6 17.7 16.7 16.3 18.1 17.3 16.0 20.3 19.3 18.6 17.8 24.6 20.9 24.1 21.0 19991999 14.7 14.4 15.6 15.8 15.8 15.7 16.5 18.5 17.2 16.1 16.8 17.5 17.2 17.3 17.5 16.9 16.3 16.3 15.3 14.8 16.4 15.5 14.2 17.7 16.5 15.5 14.4 19.0 14.9 15.0 9.3 -1.3 20002000 14.9 14.5 15.7 15.9 15.9 15.8 16.7 18.5 17.3 16.3 16.9 17.6 17.3 17.4 17.6 17.0 16.5 16.5 15.6 15.1 16.6 15.8 14.6 17.9 16.9 16.0 15.1 19.0 15.8 16.1 12.6 8.6 19.5 20012001 14.4 14.1 15.2 15.3 15.4 15.3 16.0 17.8 16.5 15.6 16.2 16.8 16.5 16.5 16.6 16.1 15.5 15.5 14.5 14.1 15.3 14.5 13.3 16.1 15.1 14.1 13.1 16.1 13.0 12.7 9.3 5.6 9.3 0.0 20022002 13.0 12.7 13.7 13.8 13.8 13.6 14.3 15.9 14.7 13.6 14.2 14.6 14.3 14.2 14.2 13.6 12.9 12.7 11.7 11.1 12.1 11.1 9.8 12.0 10.7 9.4 8.1 9.9 6.6 5.3 1.4 -3.0 -3.6 -13.4 -25.0 20032003 13.4 13.1 14.1 14.2 14.2 14.1 14.7 16.3 15.1 14.1 14.7 15.1 14.8 14.8 14.8 14.2 13.6 13.5 12.5 12.0 13.0 12.2 11.0 13.1 12.0 11.0 9.9 11.8 9.0 8.3 5.4 2.5 3.5 -1.4 -2.1 27.8 20042004 13.6 13.3 14.2 14.4 14.4 14.2 14.9 16.4 15.3 14.4 14.9 15.3 15.0 15.0 15.0 14.5 13.9 13.8 12.9 12.5 13.4 12.6 11.6 13.6 12.6 11.7 10.8 12.6 10.2 9.7 7.4 5.2 6.6 3.6 4.8 23.9 20.1 20052005 13.6 13.2 14.2 14.3 14.3 14.2 14.8 16.3 15.2 14.3 14.8 15.2 14.9 14.8 14.9 14.4 13.8 13.7 12.9 12.4 13.3 12.6 11.6 13.5 12.6 11.7 10.9 12.5 10.4 9.9 7.9 6.2 7.5 5.2 6.6 19.8 16.0 12.0 20062006 13.8 13.5 14.4 14.5 14.5 14.4 15.1 16.5 15.4 14.6 15.1 15.5 15.2 15.2 15.2 14.7 14.2 14.2 13.4 13.0 13.9 13.2 12.3 14.1 13.3 12.6 11.8 13.5 11.6 11.3 9.6 8.2 9.7 8.1 9.8 20.8 18.6 17.8 24.0 20072007 13.5 13.2 14.1 14.2 14.2 14.1 14.7 16.1 15.0 14.2 14.7 15.0 14.8 14.7 14.7 14.3 13.8 13.7 12.9 12.5 13.3 12.7 11.8 13.5 12.6 11.9 11.2 12.6 10.9 10.5 9.0 7.7 8.9 7.4 8.7 17.1 14.6 12.8 13.2 3.3 20082008 11.8 11.5 12.3 12.4 12.3 12.1 12.6 13.9 12.8 12.0 12.3 12.6 12.3 12.2 12.1 11.5 10.9 10.7 9.9 9.4 10.0 9.3 8.3 9.6 8.6 7.7 6.8 7.8 5.9 5.2 3.3 1.7 2.1 0.1 0.1 5.0 1.0 -3.3 -8.0 -20.7 -39.1 20092009 12.1 11.7 12.6 12.6 12.6 12.4 12.9 14.2 13.1 12.3 12.7 12.9 12.6 12.5 12.5 11.9 11.4 11.2 10.4 10.0 10.6 9.9 8.9 10.3 9.4 8.6 7.8 8.7 7.0 6.4 4.8 3.5 4.0 2.4 2.7 7.4 4.3 1.4 -1.1 -8.2 -13.5 22.9 20102010 12.0 11.7 12.5 12.5 12.5 12.4 12.8 14.0 13.0 12.2 12.6 12.9 12.6 12.4 12.4 11.9 11.3 11.2 10.4 10.0 10.5 9.9 9.0 10.3 9.4 8.7 7.9 8.8 7.2 6.7 5.2 4.0 4.5 3.1 3.5 7.7 5.1 2.8 1.1 -3.9 -6.2 16.4 10.2 20112011 11.6 11.2 12.0 12.0 12.0 11.8 12.3 13.4 12.4 11.6 12.0 12.2 11.9 11.8 11.7 11.2 10.6 10.4 9.7 9.3 9.8 9.1 8.2 9.4 8.6 7.8 7.0 7.8 6.3 5.7 4.3 3.2 3.5 2.2 2.4 6.0 3.6 1.4 -0.3 -4.5 -6.4 8.1 1.4 -6.8 20122012 11.9 11.5 12.3 12.3 12.3 12.1 12.6 13.7 12.8 12.0 12.3 12.6 12.3 12.1 12.1 11.6 11.1 10.9 10.2 9.8 10.3 9.7 8.9 10.0 9.3 8.6 7.9 8.7 7.3 6.8 5.6 4.6 5.0 3.9 4.3 7.8 5.7 4.1 3.0 -0.1 -0.8 12.0 8.7 7.9 24.9

1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

19681968 46.5 19691969 4.7 -25.2 19701970 5.4 -10.6 6.9 19711971 7.6 -2.9 10.6 14.3 19721972 7.5 -0.5 9.5 10.7 7.3 19731973 0.7 -6.6 -1.2 -3.8 -11.7 -27.4 19741974 -2.3 -8.7 -5.0 -7.7 -14.1 -23.1 -18.6 19751975 3.8 -1.2 3.5 2.8 0.1 -2.2 13.5 58.2 19761976 8.9 5.0 10.2 10.7 10.0 10.7 27.4 59.4 60.6 19771977 10.3 6.9 11.7 12.4 12.1 13.1 26.3 46.3 40.7 23.2 19781978 11.3 8.3 12.8 13.6 13.5 14.6 25.5 39.9 34.2 22.7 22.2 19791979 13.4 10.8 15.3 16.2 16.5 17.8 27.7 39.8 35.5 28.1 30.6 39.5 19801980 14.0 11.7 15.8 16.8 17.0 18.3 26.8 36.6 32.6 26.4 27.5 30.2 21.6 19811981 14.3 12.1 16.0 16.9 17.1 18.3 25.7 33.8 30.1 24.7 25.0 26.0 19.8 18.0 19821982 15.9 14.0 17.8 18.7 19.1 20.4 27.3 34.6 31.6 27.3 28.1 29.6 26.5 29.0 41.1 19831983 17.7 16.0 19.7 20.8 21.3 22.7 29.3 36.1 33.6 30.1 31.3 33.2 31.6 35.1 44.7 48.3 19841984 17.2 15.5 18.9 19.8 20.3 21.4 27.2 33.0 30.5 27.2 27.7 28.7 26.6 27.9 31.4 26.8 8.4 19851985 18.0 16.5 19.7 20.6 21.1 22.2 27.7 33.0 30.7 27.8 28.3 29.2 27.6 28.8 31.7 28.7 19.9 32.6 19861986 17.8 16.4 19.4 20.2 20.7 21.7 26.6 31.3 29.1 26.4 26.7 27.3 25.6 26.3 28.0 25.0 18.0 23.2 14.4 19871987 16.4 15.0 17.8 18.5 18.7 19.5 23.9 27.9 25.7 22.9 22.9 23.0 21.0 21.0 21.5 17.9 11.3 12.3 3.3 -6.7 19881988 17.1 15.8 18.5 19.1 19.4 20.2 24.3 28.2 26.1 23.6 23.6 23.8 22.1 22.2 22.8 20.0 15.0 16.7 11.8 10.6 31.1 19891989 17.1 15.8 18.4 19.0 19.3 20.0 23.8 27.4 25.4 23.0 23.0 23.1 21.6 21.6 22.0 19.5 15.3 16.7 13.0 12.6 23.7 16.6 19901990 14.9 13.6 15.9 16.4 16.5 17.0 20.3 23.3 21.3 18.9 18.6 18.3 16.5 16.0 15.8 13.0 8.6 8.7 4.4 2.1 5.2 -5.8 -23.9 19911991 15.9 14.7 16.9 17.4 17.6 18.1 21.4 24.3 22.4 20.2 20.0 19.8 18.3 18.0 18.0 15.7 12.2 12.7 9.7 8.8 13.1 7.7 3.4 40.5 19921992 16.6 15.5 17.7 18.2 18.4 19.0 22.1 24.9 23.1 21.1 21.0 20.9 19.6 19.4 19.5 17.6 14.6 15.3 13.1 12.8 17.2 14.0 13.1 37.9 35.3 19931993 17.0 15.9 18.0 18.6 18.7 19.3 22.3 25.0 23.3 21.4 21.3 21.3 20.1 20.0 20.1 18.4 15.7 16.6 14.7 14.8 18.8 16.5 16.4 34.1 31.1 27.0 19941994 16.3 15.3 17.3 17.7 17.9 18.4 21.2 23.6 22.0 20.1 20.0 19.8 18.6 18.4 18.4 16.7 14.2 14.8 13.0 12.8 15.9 13.6 13.0 24.7 19.8 12.7 0.1 19951995 16.8 15.9 17.8 18.3 18.5 19.0 21.7 24.0 22.5 20.8 20.7 20.6 19.5 19.3 19.4 17.9 15.7 16.4 14.8 14.9 17.9 16.1 16.1 26.3 22.9 19.1 15.3 32.9 19961996 17.1 16.1 18.1 18.5 18.7 19.2 21.8 24.0 22.6 20.9 20.8 20.8 19.7 19.6 19.7 18.3 16.3 17.0 15.6 15.8 18.6 17.1 17.2 25.9 23.2 20.3 18.2 28.4 24.0 19971997 17.7 16.9 18.7 19.2 19.4 19.9 22.4 24.6 23.3 21.7 21.7 21.6 20.7 20.7 20.8 19.6 17.8 18.5 17.4 17.7 20.4 19.3 19.7 27.6 25.6 23.8 23.0 31.7 31.1 38.6 19981998 17.1 16.2 18.0 18.4 18.6 19.0 21.4 23.4 22.1 20.6 20.5 20.4 19.5 19.3 19.4 18.2 16.4 17.0 15.9 16.0 18.3 17.1 17.2 23.7 21.4 19.3 17.8 22.7 19.5 17.2 -0.8 19991999 16.8 15.9 17.7 18.0 18.2 18.6 20.9 22.8 21.5 20.0 19.9 19.8 18.9 18.7 18.8 17.6 15.9 16.4 15.3 15.4 17.4 16.3 16.2 21.8 19.7 17.6 16.1 19.6 16.5 14.1 3.5 8.0 20002000 17.0 16.1 17.8 18.2 18.3 18.7 20.9 22.8 21.5 20.1 20.0 19.9 19.0 18.9 19.0 17.8 16.3 16.8 15.8 15.9 17.8 16.8 16.8 21.9 20.0 18.2 17.0 20.1 17.7 16.1 9.5 15.0 22.5 20012001 17.1 16.3 18.0 18.3 18.5 18.9 21.0 22.8 21.6 20.2 20.1 20.0 19.2 19.1 19.2 18.1 16.6 17.1 16.2 16.3 18.2 17.2 17.3 22.0 20.3 18.7 17.7 20.5 18.5 17.5 12.7 17.6 22.7 22.9 20022002 16.3 15.5 17.0 17.4 17.5 17.8 19.8 21.5 20.3 19.0 18.8 18.7 17.8 17.7 17.6 16.6 15.1 15.5 14.6 14.6 16.1 15.1 15.0 19.1 17.3 15.6 14.4 16.3 14.2 12.6 8.0 10.3 11.1 5.8 -8.9 20032003 17.4 16.7 18.2 18.6 18.7 19.1 21.1 22.8 21.7 20.4 20.3 20.2 19.5 19.4 19.5 18.5 17.2 17.7 16.9 17.0 18.7 17.9 18.0 22.1 20.7 19.4 18.7 20.9 19.5 18.9 15.9 19.6 22.7 22.7 22.6 65.0 20042004 17.6 16.8 18.3 18.7 18.8 19.2 21.1 22.7 21.7 20.5 20.4 20.3 19.6 19.5 19.6 18.7 17.4 17.9 17.2 17.3 18.9 18.2 18.3 22.1 20.8 19.6 19.0 21.0 19.8 19.3 16.7 20.0 22.5 22.5 22.4 41.8 22.0 20052005 17.3 16.6 18.1 18.4 18.5 18.9 20.7 22.3 21.2 20.1 20.0 19.9 19.2 19.1 19.1 18.3 17.0 17.5 16.8 16.9 18.4 17.7 17.7 21.2 19.9 18.8 18.1 19.9 18.7 18.1 15.8 18.4 20.2 19.8 19.0 30.1 15.5 9.4 20062006 17.5 16.8 18.2 18.5 18.7 19.0 20.8 22.3 21.3 20.2 20.1 20.0 19.3 19.2 19.3 18.5 17.3 17.7 17.1 17.2 18.6 17.9 18.0 21.3 20.1 19.1 18.5 20.2 19.1 18.6 16.6 19.0 20.6 20.3 19.8 28.3 18.0 16.1 23.1 20072007 16.7 16.0 17.3 17.6 17.7 18.0 19.7 21.1 20.1 19.0 18.9 18.7 18.1 17.9 17.9 17.1 15.9 16.3 15.6 15.6 16.9 16.2 16.2 19.1 17.9 16.8 16.1 17.4 16.2 15.5 13.5 15.2 16.1 15.2 14.0 19.2 9.9 6.1 4.5 -11.3 20082008 15.1 14.4 15.7 15.9 16.0 16.2 17.8 19.1 18.1 16.9 16.7 16.6 15.8 15.6 15.6 14.7 13.5 13.7 13.0 12.9 13.9 13.1 12.9 15.4 14.1 12.9 12.0 12.9 11.5 10.5 8.3 9.3 9.4 7.9 5.9 8.5 -0.2 -5.0 -9.4 -22.3 -32.0 20092009 15.6 14.9 16.1 16.4 16.4 16.7 18.2 19.5 18.5 17.4 17.3 17.1 16.4 16.2 16.2 15.4 14.2 14.5 13.8 13.8 14.8 14.1 13.9 16.4 15.2 14.1 13.3 14.3 13.0 12.2 10.3 11.3 11.7 10.5 9.1 11.9 4.9 1.8 0.0 -6.7 -4.3 34.6 20102010 15.8 15.2 16.4 16.7 16.7 17.0 18.5 19.7 18.8 17.7 17.6 17.4 16.8 16.6 16.6 15.8 14.7 15.0 14.3 14.3 15.3 14.7 14.6 16.9 15.8 14.8 14.2 15.1 14.0 13.3 11.6 12.7 13.1 12.2 11.1 13.9 8.0 5.8 5.1 1.0 5.5 31.4 28.3 20112011 15.3 14.6 15.8 16.0 16.1 16.3 17.7 18.9 18.0 16.9 16.8 16.6 16.0 15.8 15.7 14.9 13.9 14.1 13.4 13.4 14.3 13.6 13.5 15.7 14.6 13.6 12.9 13.7 12.5 11.8 10.1 11.0 11.3 10.3 9.1 11.3 6.0 3.9 3.0 -0.6 2.2 17.1 9.2 -7.1 20122012 15.4 14.8 15.9 16.2 16.2 16.4 17.8 19.0 18.1 17.1 16.9 16.8 16.1 16.0 15.9 15.1 14.1 14.4 13.7 13.7 14.6 14.0 13.8 16.0 14.9 14.0 13.3 14.1 13.1 12.4 10.9 11.8 12.1 11.2 10.2 12.3 7.6 6.0 5.5 2.8 5.9 18.3 13.3 6.4 21.9

1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

Page 15: Dfa matrix book us_2013 - copy

DIMENSIONAL FUND ADVISORS MATRIX BOOK 201326 27

DImENSIONAL US TARGETED VALUE INDEX

1928–2012: Total Returns (%)

index data compiled by Dimensional.

19691969 -25.4 19701970 -14.8 -2.8 19711971 -4.7 7.7 19.5 19721972 -1.8 7.7 13.3 7.5 19731973 -7.7 -2.6 -2.6 -12.0 -28.0 19741974 -10.0 -6.6 -7.5 -15.1 -24.5 -21.0 19751975 -2.1 2.5 3.6 0.0 -2.4 13.5 63.0 19761976 3.7 8.7 10.8 9.1 9.5 25.9 58.9 54.9 19771977 5.1 9.7 11.7 10.4 11.0 23.7 43.6 34.8 17.3 19781978 6.5 10.8 12.6 11.6 12.3 22.8 37.1 29.4 18.2 19.1 19791979 8.9 13.0 15.0 14.4 15.4 24.9 36.8 31.0 23.8 27.3 35.9 19801980 10.2 14.1 16.0 15.6 16.6 25.0 34.9 29.8 24.2 26.6 30.6 25.4 19811981 10.5 14.1 15.8 15.4 16.4 23.5 31.7 27.1 22.1 23.4 24.8 19.6 14.1 19821982 11.9 15.4 17.1 16.9 17.9 24.5 31.8 27.8 23.8 25.1 26.7 23.7 22.9 32.3 19831983 13.7 17.2 18.9 18.8 19.9 26.2 32.9 29.6 26.3 27.9 29.7 28.2 29.1 37.4 42.6 19841984 12.8 15.9 17.4 17.2 18.1 23.5 29.1 25.8 22.6 23.4 24.1 21.8 21.0 23.3 19.1 -0.6 19851985 13.6 16.7 18.1 18.0 18.9 23.9 29.1 26.1 23.3 24.0 24.7 23.0 22.5 24.7 22.2 13.1 28.7 19861986 13.3 16.2 17.5 17.3 18.1 22.6 27.2 24.4 21.7 22.2 22.5 20.7 20.0 21.2 18.5 11.4 18.0 8.1 19871987 12.5 15.0 16.2 16.0 16.6 20.7 24.7 21.9 19.3 19.5 19.5 17.6 16.5 16.9 14.1 7.9 10.8 2.9 -2.2 19881988 13.3 15.8 17.0 16.8 17.4 21.3 25.1 22.6 20.2 20.5 20.6 19.0 18.2 18.8 16.7 12.1 15.5 11.4 13.1 30.8 19891989 13.4 15.8 16.9 16.8 17.3 21.0 24.5 22.1 19.9 20.1 20.2 18.7 18.0 18.5 16.6 12.8 15.6 12.6 14.1 23.2 16.1 19901990 11.4 13.6 14.5 14.2 14.6 17.8 20.8 18.4 16.1 16.0 15.8 14.1 13.0 12.9 10.7 6.7 8.0 4.3 3.4 5.3 -5.6 -23.2 19911991 12.7 14.9 15.8 15.6 16.1 19.2 22.1 19.9 17.9 17.9 17.8 16.4 15.6 15.8 14.1 10.9 12.7 10.2 10.6 14.1 9.0 5.6 45.2 19921992 13.5 15.5 16.5 16.3 16.8 19.8 22.6 20.5 18.7 18.8 18.7 17.5 16.9 17.1 15.7 13.0 14.9 13.0 13.8 17.3 14.2 13.6 38.1 31.3 19931993 13.8 15.9 16.7 16.6 17.1 20.0 22.6 20.7 18.9 19.0 19.0 17.9 17.4 17.6 16.4 14.0 15.8 14.3 15.2 18.3 16.0 16.0 33.0 27.3 23.5 19941994 13.3 15.3 16.1 15.9 16.3 19.0 21.5 19.6 17.9 17.9 17.9 16.8 16.2 16.3 15.1 12.9 14.3 12.8 13.4 15.8 13.5 13.0 24.4 18.1 12.1 1.7 19951995 14.0 15.8 16.7 16.5 17.0 19.6 21.9 20.2 18.6 18.7 18.6 17.6 17.1 17.3 16.3 14.3 15.8 14.5 15.3 17.6 15.9 15.8 25.8 21.3 18.2 15.6 31.4 19961996 14.3 16.1 16.9 16.8 17.2 19.7 22.0 20.3 18.8 18.9 18.9 18.0 17.5 17.8 16.8 15.0 16.4 15.3 16.1 18.3 16.8 17.0 25.4 21.8 19.6 18.3 27.6 23.8 19971997 14.9 16.7 17.5 17.4 17.8 20.3 22.5 20.9 19.5 19.6 19.6 18.8 18.4 18.7 17.8 16.2 17.7 16.8 17.6 19.8 18.6 18.9 26.6 23.7 22.3 22.0 29.6 28.7 33.7 19981998 14.3 16.0 16.7 16.6 17.0 19.3 21.3 19.8 18.4 18.5 18.4 17.6 17.1 17.3 16.4 14.9 16.1 15.2 15.8 17.5 16.3 16.3 22.5 19.6 17.7 16.6 20.7 17.3 14.1 -2.6 19991999 14.3 15.9 16.6 16.5 16.9 19.0 21.0 19.5 18.2 18.2 18.2 17.4 16.9 17.1 16.3 14.8 15.9 15.0 15.6 17.2 16.0 16.0 21.5 18.8 17.1 16.1 19.2 16.3 13.9 5.1 13.4 20002000 14.4 16.0 16.7 16.6 17.0 19.1 21.0 19.5 18.3 18.3 18.3 17.5 17.1 17.3 16.5 15.1 16.2 15.4 15.9 17.4 16.4 16.4 21.3 18.9 17.5 16.6 19.3 17.1 15.4 9.9 16.8 20.2 20012001 14.6 16.2 16.8 16.7 17.1 19.1 21.0 19.6 18.3 18.4 18.3 17.6 17.2 17.4 16.7 15.4 16.4 15.7 16.2 17.6 16.7 16.7 21.2 19.1 17.8 17.1 19.5 17.6 16.4 12.4 17.9 20.2 20.1 20022002 13.6 15.1 15.7 15.6 15.8 17.8 19.4 18.1 16.8 16.8 16.7 16.0 15.5 15.6 14.8 13.5 14.4 13.6 13.9 15.1 14.1 13.9 17.7 15.5 14.0 13.0 14.5 12.3 10.4 6.3 8.6 7.1 1.1 -14.9 20032003 14.8 16.2 16.9 16.8 17.1 19.0 20.7 19.4 18.3 18.3 18.3 17.6 17.3 17.4 16.7 15.6 16.5 15.8 16.3 17.6 16.7 16.8 20.6 18.8 17.7 17.1 19.0 17.5 16.6 14.0 17.6 18.7 18.2 17.3 61.8 20042004 15.0 16.4 17.0 17.0 17.3 19.1 20.8 19.5 18.4 18.5 18.5 17.8 17.5 17.6 17.0 15.9 16.8 16.2 16.7 17.9 17.1 17.2 20.8 19.1 18.1 17.7 19.4 18.1 17.4 15.3 18.6 19.6 19.5 19.3 41.3 23.4 20052005 14.8 16.2 16.8 16.7 17.0 18.8 20.4 19.1 18.1 18.1 18.1 17.4 17.1 17.2 16.6 15.6 16.4 15.8 16.2 17.3 16.6 16.6 19.9 18.3 17.4 16.9 18.3 17.1 16.4 14.4 17.0 17.7 17.2 16.4 29.3 15.6 8.3 20062006 14.9 16.3 16.9 16.8 17.1 18.8 20.3 19.2 18.1 18.1 18.1 17.5 17.2 17.3 16.7 15.7 16.5 16.0 16.4 17.5 16.8 16.8 19.9 18.4 17.5 17.1 18.4 17.3 16.7 14.9 17.3 17.9 17.5 17.0 26.7 16.8 13.7 19.3 20072007 14.3 15.6 16.1 16.0 16.3 17.9 19.4 18.2 17.2 17.2 17.1 16.5 16.2 16.3 15.7 14.7 15.4 14.8 15.1 16.1 15.3 15.3 18.1 16.6 15.7 15.1 16.2 15.0 14.3 12.5 14.3 14.4 13.6 12.6 19.1 10.3 6.2 5.2 -7.2 20082008 12.7 13.9 14.3 14.2 14.4 15.9 17.2 16.1 15.0 14.9 14.8 14.1 13.8 13.7 13.1 12.0 12.6 11.9 12.1 12.8 12.0 11.8 14.2 12.6 11.5 10.7 11.4 10.0 8.9 6.9 7.9 7.3 5.8 3.9 7.4 -1.0 -6.3 -10.8 -22.9 -35.8 20092009 13.4 14.6 15.1 15.0 15.2 16.7 18.0 16.9 15.9 15.8 15.7 15.1 14.8 14.8 14.2 13.2 13.8 13.2 13.4 14.2 13.5 13.3 15.7 14.2 13.3 12.7 13.5 12.3 11.4 9.8 11.0 10.7 9.7 8.5 12.3 5.7 2.5 1.1 -4.4 -2.9 46.9 20102010 13.7 14.9 15.4 15.3 15.5 17.0 18.3 17.2 16.2 16.2 16.1 15.5 15.2 15.2 14.7 13.7 14.3 13.8 14.0 14.8 14.1 14.0 16.3 14.9 14.1 13.6 14.3 13.3 12.6 11.1 12.3 12.2 11.4 10.5 14.2 8.7 6.4 6.0 2.9 6.5 37.3 28.3 20112011 13.2 14.3 14.8 14.7 14.9 16.3 17.5 16.4 15.5 15.5 15.3 14.8 14.4 14.4 13.9 12.9 13.5 12.9 13.1 13.8 13.1 13.0 15.1 13.8 12.9 12.4 13.0 12.0 11.2 9.7 10.8 10.5 9.7 8.7 11.7 6.7 4.5 3.8 1.0 3.2 20.9 9.6 -6.3 20122012 13.4 14.5 14.9 14.8 15.0 16.4 17.6 16.5 15.6 15.6 15.5 14.9 14.6 14.6 14.1 13.2 13.7 13.2 13.4 14.1 13.4 13.3 15.3 14.1 13.3 12.7 13.4 12.4 11.7 10.4 11.4 11.2 10.5 9.7 12.5 8.1 6.3 6.0 3.9 6.3 20.6 13.0 6.0 20.0

1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

1928

$31,799

2012

19281928 36.1 19291929 3.1 -21.9 19301930 -14.3 -31.9 -40.7 19311931 -26.6 -40.3 -47.8 -54.0 19321932 -23.6 -33.8 -37.4 -35.7 -10.0 19331933 -8.3 -15.2 -13.5 -1.9 43.4 128.4 19341934 -6.8 -12.5 -10.5 -0.8 28.1 52.9 2.3 19351935 -0.9 -5.2 -2.1 8.2 34.0 53.0 25.2 53.1 19361936 4.6 1.2 5.0 15.5 38.8 54.7 35.8 56.5 59.9 19371937 -2.4 -6.0 -3.8 3.1 18.0 24.5 7.0 8.6 -8.5 -47.6 19381938 0.5 -2.6 -0.1 6.6 20.2 26.1 12.0 14.6 4.0 -16.1 34.4 19391939 -0.2 -3.0 -0.8 5.0 16.4 20.8 8.6 9.9 1.1 -13.2 11.8 -7.0 19401940 -0.6 -3.2 -1.3 3.9 13.7 17.1 6.5 7.2 -0.2 -11.3 5.7 -6.3 -5.5 19411941 -0.9 -3.3 -1.5 3.1 11.8 14.5 5.0 5.4 -0.9 -10.0 3.1 -5.7 -5.0 -4.5 19421942 0.9 -1.2 0.6 5.1 13.3 15.9 7.5 8.2 2.9 -4.3 7.9 2.2 5.4 11.3 29.7 19431943 3.8 1.9 3.9 8.4 16.5 19.2 11.7 12.8 8.6 2.8 15.0 11.4 16.6 25.1 43.1 57.8 19441944 5.7 4.1 6.1 10.6 18.3 21.0 14.2 15.5 11.9 7.0 18.5 16.1 21.3 29.2 42.8 49.8 42.3 19451945 8.3 6.9 9.0 13.5 21.1 23.9 17.7 19.3 16.3 12.3 23.5 22.0 27.7 35.6 48.0 54.7 53.1 64.8 19461946 7.2 5.8 7.7 11.8 18.6 21.0 15.2 16.4 13.5 9.7 19.0 17.3 21.2 26.3 33.6 34.6 27.6 20.9 -11.3 19471947 7.0 5.7 7.5 11.3 17.6 19.7 14.3 15.3 12.6 9.1 17.4 15.6 18.8 22.7 28.0 27.6 21.0 14.7 -4.3 3.2 19481948 6.5 5.2 6.9 10.4 16.2 18.1 13.0 13.8 11.3 8.0 15.3 13.6 16.1 19.1 22.9 21.9 15.7 9.9 -4.0 -0.1 -3.3 19491949 7.0 5.8 7.4 10.8 16.4 18.2 13.4 14.2 11.8 8.8 15.6 14.0 16.4 19.1 22.5 21.4 16.3 11.7 1.3 5.9 7.3 19.1 19501950 8.6 7.5 9.2 12.6 18.0 19.8 15.3 16.2 14.1 11.4 18.0 16.7 19.2 22.0 25.3 24.8 20.7 17.4 9.7 15.7 20.2 34.1 50.9 19511951 8.8 7.8 9.4 12.6 17.7 19.4 15.2 16.0 14.0 11.5 17.6 16.4 18.7 21.1 24.0 23.4 19.7 16.8 10.3 15.2 18.4 26.7 30.6 13.0 19521952 8.9 7.9 9.5 12.6 17.5 19.0 15.0 15.8 13.9 11.5 17.2 16.1 18.1 20.3 22.9 22.2 18.8 16.1 10.5 14.6 17.0 22.7 24.0 12.4 11.7 19531953 8.3 7.3 8.7 11.6 16.2 17.6 13.8 14.4 12.6 10.3 15.5 14.4 16.1 17.9 20.0 19.1 15.8 13.2 8.0 11.1 12.5 16.0 15.2 5.3 1.6 -7.5 19541954 9.9 9.0 10.5 13.4 17.9 19.4 15.7 16.4 14.8 12.7 17.9 16.9 18.7 20.7 22.9 22.3 19.5 17.4 13.1 16.6 18.7 22.8 23.5 17.5 19.0 22.8 63.1 19551955 10.3 9.4 10.8 13.7 18.0 19.4 15.9 16.6 15.1 13.1 18.0 17.1 18.8 20.7 22.7 22.2 19.6 17.7 13.8 17.0 18.9 22.4 23.0 18.1 19.4 22.1 40.2 20.5 19561956 10.1 9.3 10.7 13.3 17.5 18.8 15.5 16.1 14.6 12.7 17.4 16.5 18.0 19.7 21.5 20.9 18.5 16.7 13.1 15.9 17.4 20.3 20.4 16.0 16.6 17.8 27.7 13.0 6.0 19571957 9.0 8.2 9.5 12.0 15.9 17.1 13.9 14.4 12.9 11.0 15.3 14.3 15.7 17.0 18.5 17.8 15.4 13.6 10.1 12.3 13.2 15.2 14.8 10.3 9.9 9.6 14.3 1.5 -6.8 -18.1 19581958 10.5 9.7 11.0 13.6 17.4 18.6 15.6 16.2 14.8 13.0 17.3 16.5 17.9 19.3 20.9 20.4 18.2 16.6 13.6 16.0 17.2 19.5 19.5 16.1 16.5 17.3 23.1 14.7 12.8 16.3 65.3 19591959 10.7 10.0 11.3 13.7 17.4 18.6 15.6 16.2 14.9 13.2 17.3 16.5 17.8 19.2 20.7 20.2 18.2 16.7 13.9 16.1 17.2 19.3 19.3 16.2 16.6 17.4 22.1 15.3 14.0 16.8 39.4 17.6 19601960 10.1 9.4 10.6 12.9 16.5 17.6 14.7 15.2 13.9 12.3 16.1 15.3 16.5 17.7 19.0 18.5 16.5 15.1 12.3 14.2 15.1 16.8 16.6 13.7 13.7 14.0 17.4 11.2 9.4 10.3 21.8 4.5 -7.1 19611961 10.7 10.0 11.1 13.4 16.9 17.9 15.2 15.7 14.5 12.9 16.6 15.9 17.1 18.3 19.5 19.0 17.2 15.8 13.3 15.2 16.1 17.7 17.6 15.0 15.2 15.6 18.8 13.6 12.4 13.8 23.5 12.1 9.4 28.9 19621962 10.0 9.3 10.4 12.6 15.9 16.9 14.2 14.7 13.4 12.0 15.4 14.7 15.7 16.8 17.9 17.4 15.5 14.2 11.8 13.4 14.1 15.5 15.2 12.6 12.6 12.7 15.2 10.3 8.9 9.4 15.9 6.1 2.5 7.7 -10.0 19631963 10.4 9.7 10.8 13.0 16.2 17.1 14.6 15.0 13.8 12.4 15.8 15.1 16.1 17.1 18.2 17.7 16.0 14.8 12.5 14.1 14.8 16.1 15.9 13.6 13.6 13.8 16.2 11.9 10.8 11.5 17.4 9.7 7.8 13.2 6.1 25.1 19641964 10.7 10.1 11.2 13.2 16.4 17.3 14.8 15.3 14.1 12.8 16.0 15.4 16.4 17.4 18.4 18.0 16.3 15.2 13.0 14.5 15.3 16.5 16.4 14.2 14.3 14.5 16.8 12.9 12.1 12.9 18.2 11.8 10.7 15.6 11.5 24.1 23.1 19651965 11.3 10.7 11.8 13.9 16.9 17.9 15.5 15.9 14.8 13.5 16.7 16.1 17.1 18.1 19.2 18.7 17.2 16.1 14.1 15.6 16.4 17.7 17.6 15.6 15.8 16.1 18.4 15.0 14.4 15.4 20.5 15.1 14.7 19.7 17.5 28.4 30.0 37.3 19661966 10.8 10.2 11.2 13.2 16.1 17.0 14.6 15.0 14.0 12.7 15.7 15.1 16.0 16.9 17.9 17.4 15.9 14.9 12.9 14.3 14.9 16.0 15.8 13.9 14.0 14.1 16.0 12.7 12.1 12.7 16.8 11.8 11.0 14.3 11.6 17.8 15.4 11.8 -9.0 19671967 11.9 11.3 12.4 14.3 17.2 18.1 15.9 16.3 15.3 14.1 17.1 16.5 17.5 18.4 19.4 19.0 17.6 16.7 14.8 16.3 17.0 18.1 18.1 16.4 16.6 16.9 18.9 16.1 15.7 16.6 20.8 16.7 16.6 20.4 19.0 25.9 26.1 27.1 22.2 64.2 19681968 12.6 12.0 13.1 15.0 17.9 18.8 16.6 17.0 16.1 14.9 17.9 17.3 18.3 19.2 20.2 19.9 18.6 17.7 16.0 17.4 18.1 19.3 19.3 17.7 18.0 18.4 20.4 17.8 17.6 18.6 22.7 19.1 19.3 23.1 22.3 28.7 29.4 31.0 29.0 53.5 43.51969 11.5 10.9 11.9 13.7 16.5 17.3 15.1 15.5 14.6 13.4 16.2 15.6 16.5 17.3 18.2 17.8 16.5 15.5 13.8 15.1 15.7 16.7 16.5 15.0 15.1 15.3 16.9 14.3 13.9 14.5 17.7 14.2 13.8 16.4 14.9 19.0 18.0 17.1 12.5 20.7 3.51970 11.1 10.6 11.5 13.3 15.9 16.7 14.6 15.0 14.0 12.9 15.6 15.0 15.8 16.6 17.4 17.0 15.7 14.8 13.1 14.3 14.8 15.7 15.5 14.0 14.0 14.2 15.6 13.1 12.7 13.2 16.0 12.6 12.2 14.3 12.8 16.0 14.8 13.5 9.2 14.3 1.31971 11.3 10.8 11.7 13.4 16.0 16.8 14.7 15.1 14.2 13.1 15.7 15.1 15.9 16.7 17.5 17.1 15.8 14.9 13.4 14.5 15.0 15.8 15.7 14.2 14.3 14.4 15.8 13.5 13.1 13.6 16.3 13.1 12.8 14.8 13.5 16.4 15.4 14.3 10.9 15.3 5.61972 11.2 10.7 11.6 13.3 15.8 16.5 14.5 14.9 14.0 12.9 15.4 14.9 15.7 16.4 17.1 16.7 15.5 14.7 13.1 14.2 14.7 15.5 15.3 13.9 14.0 14.1 15.4 13.2 12.7 13.2 15.6 12.7 12.4 14.2 12.9 15.5 14.5 13.4 10.4 14.0 6.01973 10.2 9.6 10.5 12.1 14.5 15.2 13.2 13.5 12.6 11.6 13.9 13.4 14.1 14.7 15.4 14.9 13.7 12.8 11.3 12.3 12.6 13.3 13.1 11.7 11.6 11.6 12.7 10.5 10.0 10.2 12.3 9.4 8.9 10.2 8.8 10.6 9.3 7.9 4.7 6.8 -0.61974 9.4 8.9 9.7 11.2 13.5 14.1 12.2 12.5 11.6 10.6 12.8 12.3 12.9 13.5 14.1 13.6 12.4 11.5 10.0 10.9 11.2 11.8 11.5 10.1 10.0 9.9 10.8 8.7 8.1 8.2 10.0 7.2 6.6 7.6 6.1 7.6 6.1 4.6 1.4 2.8 -3.81975 10.3 9.8 10.6 12.2 14.5 15.1 13.2 13.5 12.7 11.7 13.9 13.4 14.0 14.6 15.3 14.8 13.7 12.9 11.5 12.4 12.7 13.3 13.1 11.8 11.8 11.8 12.8 10.8 10.3 10.6 12.4 9.9 9.4 10.6 9.4 11.1 10.0 8.9 6.4 8.2 2.71976 11.1 10.6 11.4 12.9 15.2 15.9 14.1 14.4 13.5 12.6 14.8 14.3 15.0 15.6 16.2 15.9 14.8 14.0 12.7 13.6 13.9 14.6 14.5 13.2 13.2 13.3 14.3 12.5 12.1 12.4 14.3 12.0 11.7 13.0 12.0 13.8 12.9 12.1 10.1 12.2 7.51977 11.2 10.7 11.5 13.0 15.3 15.9 14.1 14.4 13.6 12.7 14.9 14.4 15.0 15.6 16.3 15.9 14.9 14.1 12.8 13.7 14.1 14.7 14.6 13.4 13.4 13.5 14.4 12.7 12.3 12.7 14.5 12.3 12.0 13.2 12.3 14.0 13.2 12.5 10.6 12.6 8.51978 11.3 10.9 11.7 13.2 15.4 16.0 14.2 14.5 13.8 12.8 15.0 14.5 15.1 15.7 16.3 16.0 15.0 14.3 13.0 13.9 14.2 14.9 14.7 13.6 13.6 13.7 14.6 13.0 12.6 12.9 14.7 12.6 12.4 13.6 12.7 14.3 13.6 13.0 11.3 13.2 9.41979 11.8 11.3 12.1 13.6 15.7 16.4 14.7 15.0 14.2 13.3 15.4 15.0 15.6 16.2 16.8 16.5 15.5 14.8 13.6 14.5 14.8 15.5 15.4 14.3 14.3 14.4 15.4 13.8 13.5 13.9 15.6 13.6 13.4 14.6 13.9 15.5 14.9 14.4 12.9 14.8 11.41980 12.0 11.6 12.4 13.8 15.9 16.6 14.9 15.2 14.5 13.6 15.7 15.2 15.8 16.4 17.0 16.7 15.8 15.1 13.9 14.8 15.1 15.8 15.7 14.6 14.7 14.8 15.7 14.2 14.0 14.3 16.0 14.1 14.0 15.1 14.5 16.0 15.5 15.0 13.7 15.5 12.41981 12.0 11.6 12.4 13.8 15.9 16.5 14.9 15.2 14.5 13.6 15.6 15.2 15.8 16.4 17.0 16.6 15.7 15.1 13.9 14.8 15.1 15.7 15.6 14.6 14.7 14.8 15.7 14.2 14.0 14.3 15.9 14.1 14.0 15.1 14.4 15.9 15.4 15.0 13.7 15.4 12.51982 12.4 12.0 12.7 14.1 16.2 16.8 15.2 15.5 14.8 14.0 16.0 15.6 16.2 16.7 17.3 17.0 16.1 15.5 14.4 15.2 15.6 16.2 16.1 15.1 15.2 15.3 16.2 14.8 14.6 15.0 16.5 14.8 14.7 15.8 15.2 16.7 16.2 15.9 14.7 16.4 13.81983 12.9 12.5 13.2 14.6 16.7 17.3 15.7 16.0 15.3 14.5 16.5 16.1 16.7 17.3 17.9 17.6 16.7 16.1 15.1 15.9 16.3 16.9 16.8 15.9 16.0 16.1 17.0 15.7 15.5 15.9 17.4 15.8 15.8 16.9 16.4 17.8 17.4 17.1 16.1 17.8 15.41984 12.6 12.2 13.0 14.3 16.3 16.9 15.4 15.6 15.0 14.2 16.1 15.7 16.3 16.8 17.4 17.1 16.3 15.7 14.6 15.4 15.8 16.3 16.3 15.4 15.4 15.6 16.4 15.1 14.9 15.2 16.7 15.2 15.1 16.1 15.6 16.9 16.5 16.2 15.2 16.7 14.41985 12.9 12.5 13.2 14.6 16.5 17.1 15.6 15.9 15.2 14.5 16.3 16.0 16.5 17.1 17.6 17.4 16.5 16.0 15.0 15.7 16.1 16.7 16.6 15.7 15.8 15.9 16.8 15.5 15.4 15.7 17.1 15.6 15.6 16.6 16.1 17.4 17.0 16.8 15.8 17.3 15.11986 12.8 12.4 13.1 14.5 16.4 16.9 15.5 15.7 15.1 14.3 16.2 15.8 16.4 16.9 17.4 17.2 16.3 15.8 14.8 15.5 15.9 16.4 16.4 15.5 15.6 15.7 16.5 15.3 15.1 15.4 16.8 15.4 15.3 16.2 15.8 17.0 16.6 16.4 15.4 16.8 14.71987 12.5 12.2 12.9 14.1 16.0 16.5 15.1 15.4 14.7 14.0 15.8 15.4 15.9 16.5 17.0 16.7 15.9 15.3 14.4 15.1 15.4 15.9 15.8 15.0 15.1 15.2 15.9 14.7 14.5 14.8 16.1 14.7 14.6 15.5 15.0 16.1 15.8 15.5 14.6 15.8 13.81988 12.8 12.4 13.1 14.4 16.3 16.8 15.4 15.6 15.0 14.3 16.1 15.7 16.2 16.7 17.2 17.0 16.2 15.7 14.7 15.4 15.7 16.3 16.2 15.4 15.5 15.6 16.3 15.1 15.0 15.3 16.6 15.2 15.1 16.0 15.6 16.7 16.4 16.1 15.2 16.5 14.61989 12.9 12.5 13.2 14.4 16.3 16.8 15.4 15.6 15.0 14.3 16.1 15.7 16.2 16.7 17.2 17.0 16.2 15.7 14.7 15.4 15.7 16.3 16.2 15.4 15.5 15.6 16.3 15.2 15.0 15.3 16.5 15.2 15.2 16.0 15.6 16.7 16.3 16.1 15.3 16.5 14.71990 12.2 11.8 12.5 13.7 15.4 15.9 14.6 14.8 14.2 13.5 15.2 14.8 15.3 15.7 16.2 15.9 15.2 14.6 13.7 14.4 14.6 15.1 15.0 14.2 14.3 14.3 15.0 13.9 13.7 13.9 15.1 13.8 13.7 14.4 14.0 14.9 14.6 14.3 13.4 14.5 12.71991 12.6 12.3 12.9 14.1 15.9 16.4 15.0 15.3 14.7 14.0 15.6 15.3 15.8 16.3 16.7 16.5 15.7 15.2 14.3 15.0 15.3 15.7 15.7 14.9 15.0 15.0 15.7 14.6 14.5 14.7 15.9 14.6 14.5 15.3 14.9 15.9 15.5 15.3 14.5 15.6 13.91992 12.9 12.6 13.2 14.4 16.1 16.6 15.3 15.5 15.0 14.3 15.9 15.6 16.1 16.5 17.0 16.7 16.0 15.5 14.7 15.3 15.6 16.1 16.0 15.3 15.3 15.4 16.1 15.0 14.9 15.2 16.3 15.1 15.0 15.8 15.4 16.3 16.1 15.8 15.1 16.1 14.51993 13.0 12.7 13.4 14.5 16.2 16.7 15.4 15.7 15.1 14.4 16.0 15.7 16.2 16.7 17.1 16.9 16.2 15.7 14.8 15.5 15.8 16.2 16.2 15.5 15.5 15.6 16.3 15.3 15.1 15.4 16.5 15.3 15.3 16.0 15.6 16.6 16.3 16.1 15.4 16.4 14.91994 12.9 12.5 13.2 14.3 16.0 16.5 15.2 15.4 14.9 14.2 15.8 15.5 15.9 16.4 16.8 16.6 15.9 15.4 14.6 15.2 15.4 15.9 15.8 15.1 15.2 15.3 15.9 14.9 14.8 15.0 16.1 14.9 14.8 15.6 15.2 16.1 15.8 15.6 14.9 15.8 14.31995 13.1 12.8 13.4 14.6 16.2 16.7 15.4 15.7 15.1 14.5 16.0 15.7 16.2 16.6 17.1 16.8 16.2 15.7 14.9 15.5 15.8 16.2 16.1 15.5 15.5 15.6 16.2 15.3 15.1 15.4 16.4 15.3 15.3 16.0 15.6 16.5 16.3 16.0 15.4 16.3 14.91996 13.3 13.0 13.6 14.7 16.3 16.8 15.6 15.8 15.3 14.6 16.2 15.9 16.3 16.7 17.2 17.0 16.3 15.8 15.0 15.6 15.9 16.4 16.3 15.6 15.7 15.8 16.4 15.5 15.3 15.6 16.6 15.6 15.5 16.2 15.9 16.7 16.5 16.3 15.6 16.6 15.21997 13.5 13.2 13.9 15.0 16.6 17.0 15.8 16.0 15.5 14.9 16.4 16.1 16.6 17.0 17.5 17.2 16.6 16.2 15.4 16.0 16.2 16.7 16.6 16.0 16.1 16.2 16.8 15.9 15.8 16.0 17.0 16.0 15.9 16.6 16.3 17.2 16.9 16.8 16.2 17.1 15.81998 13.3 13.0 13.6 14.7 16.3 16.7 15.5 15.7 15.2 14.6 16.1 15.8 16.2 16.7 17.1 16.9 16.2 15.8 15.0 15.6 15.8 16.3 16.2 15.6 15.6 15.7 16.3 15.4 15.3 15.5 16.5 15.5 15.4 16.1 15.8 16.6 16.3 16.1 15.6 16.4 15.11999 13.3 13.0 13.6 14.7 16.2 16.7 15.5 15.7 15.2 14.6 16.0 15.8 16.2 16.6 17.0 16.8 16.2 15.7 15.0 15.5 15.8 16.2 16.2 15.5 15.6 15.7 16.2 15.4 15.2 15.5 16.4 15.4 15.4 16.0 15.7 16.5 16.3 16.1 15.5 16.3 15.12000 13.4 13.1 13.7 14.7 16.3 16.7 15.6 15.8 15.3 14.7 16.1 15.8 16.3 16.7 17.1 16.8 16.2 15.8 15.1 15.6 15.9 16.3 16.2 15.6 15.7 15.8 16.3 15.5 15.4 15.6 16.5 15.5 15.5 16.1 15.8 16.6 16.4 16.2 15.6 16.4 15.22001 13.5 13.2 13.8 14.8 16.3 16.8 15.6 15.8 15.3 14.8 16.2 15.9 16.3 16.7 17.1 16.9 16.3 15.9 15.2 15.7 16.0 16.4 16.3 15.7 15.8 15.9 16.4 15.6 15.5 15.7 16.6 15.6 15.6 16.2 15.9 16.7 16.5 16.3 15.7 16.5 15.42002 13.0 12.7 13.3 14.3 15.8 16.2 15.1 15.3 14.8 14.2 15.6 15.3 15.7 16.1 16.5 16.3 15.7 15.3 14.6 15.1 15.3 15.7 15.6 15.0 15.1 15.1 15.7 14.8 14.7 14.9 15.8 14.8 14.8 15.4 15.0 15.8 15.5 15.3 14.8 15.5 14.42003 13.6 13.3 13.9 14.9 16.4 16.8 15.7 15.9 15.4 14.8 16.2 15.9 16.3 16.7 17.1 16.9 16.3 15.9 15.2 15.8 16.0 16.4 16.3 15.8 15.8 15.9 16.4 15.6 15.5 15.7 16.6 15.7 15.7 16.3 16.0 16.7 16.5 16.3 15.8 16.6 15.52004 13.7 13.4 14.0 15.0 16.4 16.9 15.8 16.0 15.5 15.0 16.3 16.1 16.5 16.8 17.2 17.0 16.4 16.1 15.4 15.9 16.1 16.5 16.5 15.9 16.0 16.0 16.6 15.8 15.7 15.9 16.8 15.9 15.8 16.4 16.1 16.9 16.7 16.5 16.0 16.8 15.72005 13.6 13.4 13.9 14.9 16.3 16.7 15.7 15.9 15.4 14.9 16.2 15.9 16.3 16.7 17.1 16.9 16.3 15.9 15.2 15.8 16.0 16.4 16.3 15.8 15.8 15.9 16.4 15.6 15.5 15.7 16.6 15.7 15.7 16.2 16.0 16.6 16.5 16.3 15.8 16.5 15.52006 13.7 13.4 14.0 15.0 16.4 16.8 15.7 15.9 15.5 14.9 16.2 16.0 16.4 16.7 17.1 16.9 16.4 16.0 15.3 15.8 16.0 16.4 16.4 15.8 15.9 16.0 16.5 15.7 15.6 15.8 16.6 15.8 15.7 16.3 16.0 16.7 16.5 16.4 15.9 16.6 15.62007 13.4 13.1 13.7 14.6 16.0 16.4 15.4 15.6 15.1 14.6 15.9 15.6 16.0 16.3 16.7 16.5 15.9 15.6 14.9 15.4 15.6 16.0 15.9 15.4 15.4 15.5 16.0 15.2 15.1 15.3 16.1 15.3 15.2 15.7 15.5 16.1 15.9 15.8 15.3 16.0 15.02008 12.6 12.3 12.9 13.8 15.1 15.5 14.5 14.6 14.2 13.7 14.9 14.6 15.0 15.3 15.7 15.4 14.9 14.5 13.9 14.3 14.5 14.8 14.8 14.2 14.2 14.3 14.7 14.0 13.9 14.0 14.8 13.9 13.8 14.3 14.0 14.6 14.4 14.2 13.7 14.3 13.32009 13.0 12.7 13.2 14.2 15.5 15.9 14.8 15.0 14.6 14.1 15.3 15.0 15.4 15.7 16.1 15.9 15.3 15.0 14.3 14.8 15.0 15.3 15.2 14.7 14.7 14.8 15.2 14.5 14.4 14.6 15.3 14.5 14.4 14.9 14.6 15.2 15.0 14.9 14.4 15.0 14.02010 13.1 12.9 13.4 14.3 15.7 16.0 15.0 15.2 14.7 14.2 15.5 15.2 15.6 15.9 16.2 16.0 15.5 15.1 14.5 15.0 15.2 15.5 15.4 14.9 15.0 15.0 15.4 14.7 14.6 14.8 15.5 14.7 14.7 15.2 14.9 15.5 15.3 15.1 14.7 15.3 14.32011 12.9 12.6 13.1 14.0 15.3 15.7 14.7 14.9 14.4 13.9 15.1 14.9 15.2 15.6 15.9 15.7 15.2 14.8 14.2 14.6 14.8 15.1 15.0 14.5 14.6 14.6 15.0 14.3 14.2 14.4 15.1 14.3 14.2 14.7 14.4 15.0 14.8 14.6 14.2 14.8 13.82012 13.0 12.7 13.2 14.1 15.4 15.8 14.8 14.9 14.5 14.0 15.2 15.0 15.3 15.6 15.9 15.7 15.2 14.9 14.2 14.7 14.9 15.2 15.1 14.6 14.6 14.7 15.1 14.4 14.3 14.5 15.2 14.4 14.3 14.8 14.5 15.1 14.9 14.7 14.3 14.9 14.0

1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968

19681968 46.5 19691969 4.7 -25.2 19701970 5.4 -10.6 6.9 19711971 7.6 -2.9 10.6 14.3 19721972 7.5 -0.5 9.5 10.7 7.3 19731973 0.7 -6.6 -1.2 -3.8 -11.7 -27.4 19741974 -2.3 -8.7 -5.0 -7.7 -14.1 -23.1 -18.6 19751975 3.8 -1.2 3.5 2.8 0.1 -2.2 13.5 58.2 19761976 8.9 5.0 10.2 10.7 10.0 10.7 27.4 59.4 60.6 19771977 10.3 6.9 11.7 12.4 12.1 13.1 26.3 46.3 40.7 23.2 19781978 11.3 8.3 12.8 13.6 13.5 14.6 25.5 39.9 34.2 22.7 22.2 19791979 13.4 10.8 15.3 16.2 16.5 17.8 27.7 39.8 35.5 28.1 30.6 39.5 19801980 14.0 11.7 15.8 16.8 17.0 18.3 26.8 36.6 32.6 26.4 27.5 30.2 21.6 19811981 14.3 12.1 16.0 16.9 17.1 18.3 25.7 33.8 30.1 24.7 25.0 26.0 19.8 18.0 19821982 15.9 14.0 17.8 18.7 19.1 20.4 27.3 34.6 31.6 27.3 28.1 29.6 26.5 29.0 41.1 19831983 17.7 16.0 19.7 20.8 21.3 22.7 29.3 36.1 33.6 30.1 31.3 33.2 31.6 35.1 44.7 48.3 19841984 17.2 15.5 18.9 19.8 20.3 21.4 27.2 33.0 30.5 27.2 27.7 28.7 26.6 27.9 31.4 26.8 8.4 19851985 18.0 16.5 19.7 20.6 21.1 22.2 27.7 33.0 30.7 27.8 28.3 29.2 27.6 28.8 31.7 28.7 19.9 32.6 19861986 17.8 16.4 19.4 20.2 20.7 21.7 26.6 31.3 29.1 26.4 26.7 27.3 25.6 26.3 28.0 25.0 18.0 23.2 14.4 19871987 16.4 15.0 17.8 18.5 18.7 19.5 23.9 27.9 25.7 22.9 22.9 23.0 21.0 21.0 21.5 17.9 11.3 12.3 3.3 -6.7 19881988 17.1 15.8 18.5 19.1 19.4 20.2 24.3 28.2 26.1 23.6 23.6 23.8 22.1 22.2 22.8 20.0 15.0 16.7 11.8 10.6 31.1 19891989 17.1 15.8 18.4 19.0 19.3 20.0 23.8 27.4 25.4 23.0 23.0 23.1 21.6 21.6 22.0 19.5 15.3 16.7 13.0 12.6 23.7 16.6 19901990 14.9 13.6 15.9 16.4 16.5 17.0 20.3 23.3 21.3 18.9 18.6 18.3 16.5 16.0 15.8 13.0 8.6 8.7 4.4 2.1 5.2 -5.8 -23.9 19911991 15.9 14.7 16.9 17.4 17.6 18.1 21.4 24.3 22.4 20.2 20.0 19.8 18.3 18.0 18.0 15.7 12.2 12.7 9.7 8.8 13.1 7.7 3.4 40.5 19921992 16.6 15.5 17.7 18.2 18.4 19.0 22.1 24.9 23.1 21.1 21.0 20.9 19.6 19.4 19.5 17.6 14.6 15.3 13.1 12.8 17.2 14.0 13.1 37.9 35.3 19931993 17.0 15.9 18.0 18.6 18.7 19.3 22.3 25.0 23.3 21.4 21.3 21.3 20.1 20.0 20.1 18.4 15.7 16.6 14.7 14.8 18.8 16.5 16.4 34.1 31.1 27.0 19941994 16.3 15.3 17.3 17.7 17.9 18.4 21.2 23.6 22.0 20.1 20.0 19.8 18.6 18.4 18.4 16.7 14.2 14.8 13.0 12.8 15.9 13.6 13.0 24.7 19.8 12.7 0.1 19951995 16.8 15.9 17.8 18.3 18.5 19.0 21.7 24.0 22.5 20.8 20.7 20.6 19.5 19.3 19.4 17.9 15.7 16.4 14.8 14.9 17.9 16.1 16.1 26.3 22.9 19.1 15.3 32.9 19961996 17.1 16.1 18.1 18.5 18.7 19.2 21.8 24.0 22.6 20.9 20.8 20.8 19.7 19.6 19.7 18.3 16.3 17.0 15.6 15.8 18.6 17.1 17.2 25.9 23.2 20.3 18.2 28.4 24.0 19971997 17.7 16.9 18.7 19.2 19.4 19.9 22.4 24.6 23.3 21.7 21.7 21.6 20.7 20.7 20.8 19.6 17.8 18.5 17.4 17.7 20.4 19.3 19.7 27.6 25.6 23.8 23.0 31.7 31.1 38.6 19981998 17.1 16.2 18.0 18.4 18.6 19.0 21.4 23.4 22.1 20.6 20.5 20.4 19.5 19.3 19.4 18.2 16.4 17.0 15.9 16.0 18.3 17.1 17.2 23.7 21.4 19.3 17.8 22.7 19.5 17.2 -0.8 19991999 16.8 15.9 17.7 18.0 18.2 18.6 20.9 22.8 21.5 20.0 19.9 19.8 18.9 18.7 18.8 17.6 15.9 16.4 15.3 15.4 17.4 16.3 16.2 21.8 19.7 17.6 16.1 19.6 16.5 14.1 3.5 8.0 20002000 17.0 16.1 17.8 18.2 18.3 18.7 20.9 22.8 21.5 20.1 20.0 19.9 19.0 18.9 19.0 17.8 16.3 16.8 15.8 15.9 17.8 16.8 16.8 21.9 20.0 18.2 17.0 20.1 17.7 16.1 9.5 15.0 22.5 20012001 17.1 16.3 18.0 18.3 18.5 18.9 21.0 22.8 21.6 20.2 20.1 20.0 19.2 19.1 19.2 18.1 16.6 17.1 16.2 16.3 18.2 17.2 17.3 22.0 20.3 18.7 17.7 20.5 18.5 17.5 12.7 17.6 22.7 22.9 20022002 16.3 15.5 17.0 17.4 17.5 17.8 19.8 21.5 20.3 19.0 18.8 18.7 17.8 17.7 17.6 16.6 15.1 15.5 14.6 14.6 16.1 15.1 15.0 19.1 17.3 15.6 14.4 16.3 14.2 12.6 8.0 10.3 11.1 5.8 -8.9 20032003 17.4 16.7 18.2 18.6 18.7 19.1 21.1 22.8 21.7 20.4 20.3 20.2 19.5 19.4 19.5 18.5 17.2 17.7 16.9 17.0 18.7 17.9 18.0 22.1 20.7 19.4 18.7 20.9 19.5 18.9 15.9 19.6 22.7 22.7 22.6 65.0 20042004 17.6 16.8 18.3 18.7 18.8 19.2 21.1 22.7 21.7 20.5 20.4 20.3 19.6 19.5 19.6 18.7 17.4 17.9 17.2 17.3 18.9 18.2 18.3 22.1 20.8 19.6 19.0 21.0 19.8 19.3 16.7 20.0 22.5 22.5 22.4 41.8 22.0 20052005 17.3 16.6 18.1 18.4 18.5 18.9 20.7 22.3 21.2 20.1 20.0 19.9 19.2 19.1 19.1 18.3 17.0 17.5 16.8 16.9 18.4 17.7 17.7 21.2 19.9 18.8 18.1 19.9 18.7 18.1 15.8 18.4 20.2 19.8 19.0 30.1 15.5 9.4 20062006 17.5 16.8 18.2 18.5 18.7 19.0 20.8 22.3 21.3 20.2 20.1 20.0 19.3 19.2 19.3 18.5 17.3 17.7 17.1 17.2 18.6 17.9 18.0 21.3 20.1 19.1 18.5 20.2 19.1 18.6 16.6 19.0 20.6 20.3 19.8 28.3 18.0 16.1 23.1 20072007 16.7 16.0 17.3 17.6 17.7 18.0 19.7 21.1 20.1 19.0 18.9 18.7 18.1 17.9 17.9 17.1 15.9 16.3 15.6 15.6 16.9 16.2 16.2 19.1 17.9 16.8 16.1 17.4 16.2 15.5 13.5 15.2 16.1 15.2 14.0 19.2 9.9 6.1 4.5 -11.3 20082008 15.1 14.4 15.7 15.9 16.0 16.2 17.8 19.1 18.1 16.9 16.7 16.6 15.8 15.6 15.6 14.7 13.5 13.7 13.0 12.9 13.9 13.1 12.9 15.4 14.1 12.9 12.0 12.9 11.5 10.5 8.3 9.3 9.4 7.9 5.9 8.5 -0.2 -5.0 -9.4 -22.3 -32.0 20092009 15.6 14.9 16.1 16.4 16.4 16.7 18.2 19.5 18.5 17.4 17.3 17.1 16.4 16.2 16.2 15.4 14.2 14.5 13.8 13.8 14.8 14.1 13.9 16.4 15.2 14.1 13.3 14.3 13.0 12.2 10.3 11.3 11.7 10.5 9.1 11.9 4.9 1.8 0.0 -6.7 -4.3 34.6 20102010 15.8 15.2 16.4 16.7 16.7 17.0 18.5 19.7 18.8 17.7 17.6 17.4 16.8 16.6 16.6 15.8 14.7 15.0 14.3 14.3 15.3 14.7 14.6 16.9 15.8 14.8 14.2 15.1 14.0 13.3 11.6 12.7 13.1 12.2 11.1 13.9 8.0 5.8 5.1 1.0 5.5 31.4 28.3 20112011 15.3 14.6 15.8 16.0 16.1 16.3 17.7 18.9 18.0 16.9 16.8 16.6 16.0 15.8 15.7 14.9 13.9 14.1 13.4 13.4 14.3 13.6 13.5 15.7 14.6 13.6 12.9 13.7 12.5 11.8 10.1 11.0 11.3 10.3 9.1 11.3 6.0 3.9 3.0 -0.6 2.2 17.1 9.2 -7.1 20122012 15.4 14.8 15.9 16.2 16.2 16.4 17.8 19.0 18.1 17.1 16.9 16.8 16.1 16.0 15.9 15.1 14.1 14.4 13.7 13.7 14.6 14.0 13.8 16.0 14.9 14.0 13.3 14.1 13.1 12.4 10.9 11.8 12.1 11.2 10.2 12.3 7.6 6.0 5.5 2.8 5.9 18.3 13.3 6.4 21.9

1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

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DIMENSIONAL FUND ADVISORS MATRIX BOOK 201328 29

Data provided by fama/french.

19681968 39.1 19691969 2.7 -24.2 19701970 -2.2 -18.1 -11.5 19711971 3.1 -6.7 3.5 20.9 19721972 3.5 -3.9 4.0 12.7 5.0 19731973 -4.3 -11.2 -7.6 -6.3 -17.5 -35.1 19741974 -8.1 -14.3 -12.1 -12.3 -21.2 -31.8 -28.2 19751975 -2.1 -6.9 -3.6 -2.0 -7.0 -10.6 4.9 53.2 19761976 2.5 -1.4 2.4 4.9 2.0 1.2 17.4 50.2 47.3 19771977 4.1 0.8 4.5 7.0 4.9 4.8 18.2 39.6 33.2 20.5 19781978 5.5 2.6 6.1 8.6 6.9 7.2 18.6 34.4 28.7 20.2 20.0 19791979 8.1 5.7 9.2 11.8 10.7 11.5 22.1 35.8 31.7 26.9 30.3 41.4 19801980 10.1 8.0 11.5 14.1 13.3 14.4 24.1 35.9 32.7 29.3 32.4 39.1 36.8 19811981 9.5 7.5 10.7 13.0 12.2 13.0 21.2 30.6 27.1 23.5 24.2 25.7 18.4 2.5 19821982 10.7 8.9 12.0 14.2 13.6 14.5 21.9 30.3 27.3 24.2 25.0 26.3 21.6 14.6 28.1 19831983 12.0 10.4 13.4 15.6 15.1 16.1 23.0 30.6 28.1 25.5 26.4 27.7 24.5 20.6 30.8 33.6 19841984 11.0 9.4 12.1 14.1 13.5 14.3 20.3 26.7 24.1 21.4 21.6 21.8 18.2 14.0 18.1 13.4 -3.7 19851985 12.1 10.6 13.3 15.2 14.8 15.5 21.2 27.2 24.8 22.5 22.8 23.2 20.4 17.4 21.4 19.2 12.7 31.9 19861986 11.8 10.5 12.9 14.7 14.3 15.0 20.1 25.4 23.2 21.0 21.0 21.1 18.5 15.7 18.5 16.3 11.0 19.2 7.7 19871987 10.7 9.4 11.7 13.2 12.7 13.3 17.9 22.5 20.2 18.0 17.7 17.5 14.8 12.0 13.6 10.9 5.9 9.3 -0.5 -8.0 19881988 11.3 10.1 12.2 13.7 13.3 13.9 18.2 22.5 20.4 18.4 18.2 18.0 15.7 13.3 14.9 12.9 9.1 12.6 6.8 6.4 23.1 19891989 11.5 10.4 12.5 13.9 13.5 14.0 18.1 22.1 20.2 18.3 18.1 17.9 15.8 13.7 15.2 13.5 10.4 13.5 9.3 9.8 20.0 16.9 19901990 9.9 8.8 10.6 11.9 11.4 11.8 15.4 18.9 16.9 15.0 14.6 14.1 11.9 9.7 10.5 8.5 5.4 7.0 2.6 1.3 4.7 -3.5 -20.4 19911991 11.3 10.2 12.1 13.4 13.0 13.5 17.0 20.4 18.6 17.0 16.7 16.5 14.6 12.7 13.8 12.3 9.9 12.0 9.0 9.3 14.1 11.3 8.6 48.1 19921992 11.6 10.6 12.5 13.7 13.3 13.8 17.2 20.4 18.7 17.1 16.9 16.7 15.0 13.3 14.4 13.1 11.0 13.0 10.6 11.1 15.3 13.4 12.3 33.4 20.2 19931993 12.0 11.0 12.8 14.0 13.6 14.1 17.3 20.4 18.8 17.3 17.1 16.9 15.4 13.9 14.9 13.7 11.9 13.8 11.7 12.3 16.1 14.8 14.2 28.8 20.2 20.2 19941994 11.4 10.5 12.1 13.2 12.9 13.3 16.3 19.2 17.6 16.2 15.9 15.7 14.1 12.6 13.5 12.3 10.6 12.1 10.1 10.4 13.3 11.8 10.8 20.3 12.3 8.5 -2.0 19951995 12.0 11.1 12.8 13.9 13.6 14.0 17.0 19.7 18.2 16.9 16.7 16.5 15.1 13.8 14.6 13.6 12.1 13.7 12.0 12.5 15.4 14.3 13.9 22.3 16.6 15.4 13.1 30.6 19961996 12.2 11.4 13.0 14.0 13.8 14.1 17.0 19.6 18.2 16.9 16.7 16.5 15.2 14.0 14.8 13.9 12.5 14.0 12.5 13.0 15.6 14.7 14.4 21.5 16.8 15.9 14.5 23.9 17.4 19971997 12.6 11.8 13.4 14.4 14.2 14.6 17.3 19.9 18.5 17.3 17.2 17.0 15.8 14.7 15.5 14.7 13.4 14.9 13.5 14.1 16.6 15.9 15.7 22.1 18.2 17.8 17.3 24.5 21.5 25.8 19981998 12.1 11.3 12.8 13.8 13.5 13.9 16.5 18.8 17.5 16.3 16.1 16.0 14.8 13.6 14.3 13.5 12.3 13.5 12.2 12.6 14.7 13.9 13.6 18.7 15.0 14.2 13.0 17.2 13.0 10.8 -2.3 19991999 12.6 11.8 13.3 14.3 14.0 14.4 16.9 19.2 18.0 16.8 16.7 16.5 15.4 14.4 15.1 14.3 13.2 14.5 13.3 13.8 15.8 15.1 15.0 19.8 16.6 16.1 15.5 19.3 16.7 16.4 12.0 28.4 20002000 11.8 11.0 12.4 13.3 13.0 13.3 15.7 17.8 16.6 15.5 15.2 15.0 13.9 12.9 13.4 12.7 11.5 12.6 11.4 11.7 13.3 12.6 12.2 16.1 13.0 12.1 11.0 13.4 10.2 8.5 3.2 6.1 -12.3 20012001 11.9 11.2 12.5 13.4 13.2 13.5 15.8 17.8 16.6 15.6 15.4 15.2 14.1 13.1 13.7 12.9 11.9 12.9 11.8 12.1 13.7 13.0 12.7 16.3 13.5 12.8 11.9 14.0 11.5 10.3 6.8 10.0 1.8 18.0 20022002 10.9 10.1 11.4 12.2 11.9 12.2 14.3 16.2 15.0 13.9 13.7 13.4 12.3 11.3 11.8 11.0 9.9 10.8 9.6 9.8 11.1 10.2 9.7 12.7 10.0 9.0 7.8 9.1 6.3 4.6 0.8 1.6 -6.0 -2.7 -19.9 20032003 12.0 11.3 12.5 13.4 13.1 13.4 15.5 17.4 16.3 15.3 15.1 14.9 13.9 13.0 13.5 12.9 12.0 12.8 11.9 12.1 13.5 12.9 12.6 15.7 13.3 12.7 12.0 13.7 11.7 10.9 8.6 11.0 7.0 14.3 12.5 57.8 20042004 12.2 11.5 12.7 13.5 13.3 13.6 15.6 17.5 16.4 15.5 15.3 15.1 14.2 13.3 13.8 13.2 12.3 13.2 12.2 12.5 13.8 13.3 13.1 15.9 13.8 13.2 12.6 14.2 12.5 11.9 10.1 12.3 9.3 15.5 14.6 37.1 19.1 20052005 12.0 11.3 12.5 13.3 13.1 13.3 15.3 17.1 16.1 15.1 14.9 14.7 13.8 13.0 13.4 12.8 12.0 12.8 11.9 12.1 13.4 12.8 12.6 15.2 13.2 12.6 12.0 13.4 11.8 11.2 9.5 11.3 8.7 13.4 12.3 25.7 12.2 5.6 20062006 12.1 11.5 12.6 13.4 13.2 13.4 15.4 17.1 16.1 15.2 15.0 14.8 13.9 13.1 13.6 13.0 12.2 13.0 12.1 12.4 13.6 13.1 12.8 15.3 13.4 12.9 12.4 13.7 12.3 11.8 10.3 12.0 9.8 14.0 13.2 23.5 13.8 11.2 17.1 20072007 11.7 11.1 12.2 12.9 12.7 12.9 14.8 16.4 15.5 14.5 14.4 14.2 13.3 12.5 12.9 12.3 11.5 12.2 11.4 11.6 12.7 12.2 11.9 14.2 12.3 11.8 11.3 12.4 11.0 10.4 8.9 10.3 8.2 11.5 10.4 17.8 9.4 6.4 6.8 -2.6 20082008 10.1 9.4 10.5 11.1 10.9 11.0 12.8 14.3 13.3 12.3 12.1 11.8 10.9 10.1 10.4 9.8 8.9 9.5 8.6 8.6 9.5 8.8 8.4 10.3 8.4 7.7 6.9 7.6 6.0 5.1 3.4 4.0 1.6 3.5 1.5 5.6 -2.5 -7.3 -11.2 -22.7 -38.6 20092009 10.9 10.2 11.3 11.9 11.7 11.9 13.6 15.1 14.1 13.3 13.0 12.8 12.0 11.2 11.5 11.0 10.2 10.8 10.0 10.1 11.0 10.4 10.1 12.0 10.3 9.7 9.1 9.9 8.5 7.9 6.5 7.3 5.4 7.6 6.4 10.7 4.4 1.7 0.7 -4.2 -5.0 47.0 20102010 11.3 10.7 11.7 12.3 12.1 12.3 14.0 15.5 14.5 13.7 13.5 13.3 12.5 11.8 12.1 11.6 10.8 11.4 10.7 10.8 11.7 11.2 10.9 12.8 11.2 10.7 10.2 11.0 9.8 9.3 8.1 9.0 7.4 9.6 8.7 12.9 7.7 5.9 5.9 3.3 5.3 38.0 29.5 20112011 10.8 10.3 11.2 11.9 11.7 11.8 13.4 14.9 13.9 13.1 12.9 12.7 11.9 11.2 11.5 10.9 10.2 10.8 10.0 10.1 10.9 10.4 10.1 11.9 10.3 9.8 9.3 10.0 8.8 8.2 7.1 7.8 6.3 8.2 7.2 10.7 5.9 4.2 3.9 1.5 2.5 21.7 10.7 -5.4 20122012 11.0 10.4 11.4 12.0 11.8 12.0 13.5 14.9 14.0 13.2 13.0 12.8 12.1 11.4 11.7 11.1 10.4 11.0 10.3 10.4 11.2 10.7 10.5 12.1 10.6 10.2 9.7 10.4 9.3 8.8 7.7 8.5 7.1 8.9 8.1 11.4 7.2 5.7 5.8 4.0 5.4 20.6 12.9 5.4 17.4

1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

FAmA/FRENCH US SmALL CAP INDEX

1927–2012: Total Returns (%)

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

1927

$14,580

2012

19271927 28.1 19281928 32.9 37.8 19291929 3.6 -6.9 -37.1 19301930 -9.4 -19.2 -38.2 -39.2 19311931 -19.0 -27.8 -41.8 -44.1 -48.5 19321932 -16.9 -23.7 -34.2 -33.3 -30.1 -5.0 19331933 -4.2 -8.7 -15.9 -9.6 3.2 46.2 125.0 19341934 -1.6 -5.3 -11.0 -4.6 6.8 36.1 63.0 18.1 19351935 4.1 1.4 -3.0 4.3 16.2 42.4 63.0 38.8 63.1 19361936 8.3 6.3 2.9 10.4 22.0 44.9 61.0 44.1 59.1 55.3 19371937 1.1 -1.3 -4.9 0.2 7.6 21.6 27.8 10.9 8.6 -11.3 -49.4 19381938 3.7 1.7 -1.3 3.7 10.9 23.7 29.3 15.7 15.2 2.6 -16.7 37.1 19391939 3.4 1.6 -1.2 3.4 9.7 20.5 24.7 13.0 12.1 2.0 -11.3 17.4 0.5 19401940 2.8 1.1 -1.5 2.6 8.1 17.4 20.6 10.3 9.0 0.6 -9.7 9.4 -2.2 -4.8 19411941 1.8 0.2 -2.3 1.4 6.2 14.2 16.6 7.4 5.9 -1.4 -10.0 3.9 -5.2 -8.0 -11.0 19421942 3.4 1.9 -0.3 3.3 8.0 15.5 17.8 9.7 8.6 2.5 -4.3 8.6 2.5 3.2 7.4 29.7 19431943 6.4 5.1 3.2 7.0 11.7 19.2 21.6 14.4 14.0 9.0 3.6 16.7 13.1 16.4 24.5 47.3 67.4 19441944 8.1 7.0 5.3 9.0 13.7 20.8 23.3 16.7 16.6 12.3 7.8 20.1 17.5 21.2 28.8 45.7 54.5 42.6 19451945 10.6 9.7 8.2 11.9 16.6 23.6 26.1 20.2 20.4 16.8 13.1 25.1 23.4 27.7 35.5 50.5 58.1 53.7 65.7 19461946 9.4 8.5 7.1 10.5 14.7 20.9 23.0 17.5 17.4 14.0 10.5 20.5 18.5 21.4 26.4 35.6 37.1 28.3 21.7 -10.6 19471947 8.8 8.0 6.6 9.7 13.6 19.4 21.2 16.0 15.8 12.6 9.3 18.1 16.1 18.2 22.0 28.6 28.3 20.1 13.4 -6.2 -1.6 19481948 8.2 7.3 6.0 8.9 12.5 17.8 19.4 14.5 14.2 11.1 8.1 15.8 13.8 15.4 18.2 23.1 22.1 14.6 8.5 -5.8 -3.3 -5.0 19491949 8.8 7.9 6.7 9.6 13.0 18.0 19.6 14.9 14.7 11.9 9.1 16.3 14.6 16.1 18.7 23.0 22.1 15.8 11.1 0.6 4.6 7.8 22.4 19501950 9.9 9.2 8.0 10.8 14.2 19.1 20.6 16.3 16.2 13.6 11.0 18.0 16.5 18.1 20.6 24.8 24.2 19.0 15.5 7.4 12.5 17.6 30.8 39.8 19511951 10.1 9.4 8.3 11.0 14.2 18.9 20.3 16.2 16.0 13.6 11.3 17.7 16.3 17.7 20.0 23.7 23.0 18.4 15.3 8.5 12.8 16.7 25.0 26.4 14.3 19521952 10.0 9.4 8.3 10.9 14.0 18.4 19.7 15.8 15.6 13.3 11.1 17.1 15.8 17.1 19.1 22.3 21.6 17.3 14.5 8.6 12.2 15.2 20.9 20.4 11.7 9.2 19531953 9.5 8.9 7.8 10.3 13.2 17.3 18.5 14.8 14.6 12.4 10.2 15.7 14.4 15.5 17.2 19.9 19.1 15.1 12.4 7.1 9.9 11.9 15.6 14.0 6.5 2.9 -3.1 19541954 11.0 10.4 9.5 11.9 14.8 18.9 20.1 16.6 16.5 14.5 12.5 17.9 16.8 18.0 19.8 22.6 22.1 18.6 16.4 12.0 15.1 17.8 22.0 22.0 17.9 19.1 24.4 59.8 19551955 11.3 10.8 9.9 12.2 15.0 18.9 20.1 16.7 16.7 14.7 12.9 18.1 17.0 18.2 19.9 22.5 21.9 18.7 16.8 12.8 15.7 18.1 21.8 21.7 18.4 19.4 23.0 38.6 20.3 19561956 11.2 10.6 9.8 12.0 14.7 18.4 19.5 16.3 16.2 14.4 12.6 17.5 16.5 17.5 19.0 21.4 20.8 17.8 15.9 12.2 14.8 16.8 19.8 19.5 16.4 16.8 18.8 27.2 13.5 7.1 19571957 10.2 9.6 8.7 10.9 13.4 16.9 17.9 14.7 14.6 12.8 11.1 15.5 14.5 15.3 16.6 18.6 17.9 15.0 13.1 9.5 11.6 13.0 15.2 14.3 11.1 10.6 10.8 14.6 2.6 -5.2 -16.1 19581958 11.5 11.1 10.3 12.4 14.9 18.4 19.4 16.4 16.3 14.6 13.1 17.5 16.6 17.5 18.9 20.9 20.4 17.7 16.1 13.0 15.2 16.9 19.4 19.0 16.7 17.0 18.4 23.2 15.4 13.9 17.4 64.3 19591959 11.8 11.3 10.5 12.6 15.0 18.4 19.4 16.5 16.4 14.8 13.3 17.5 16.7 17.5 18.8 20.8 20.3 17.8 16.3 13.4 15.5 17.1 19.3 19.0 16.9 17.2 18.4 22.4 16.1 15.1 17.9 39.7 18.8 19601960 11.3 10.8 10.1 12.1 14.4 17.6 18.5 15.7 15.6 14.0 12.6 16.5 15.7 16.5 17.6 19.4 18.8 16.5 15.0 12.2 14.1 15.4 17.3 16.8 14.7 14.8 15.5 18.4 12.7 11.2 12.3 23.7 7.3 -3.0 19611961 11.8 11.3 10.6 12.6 14.8 17.9 18.8 16.1 16.1 14.6 13.2 17.0 16.2 17.0 18.2 19.9 19.4 17.1 15.8 13.2 15.0 16.3 18.1 17.8 16.0 16.1 16.9 19.7 14.9 14.0 15.4 25.0 14.1 11.9 29.1 19621962 10.9 10.5 9.8 11.6 13.8 16.7 17.5 14.9 14.8 13.3 12.0 15.6 14.8 15.4 16.4 18.0 17.4 15.2 13.9 11.4 12.9 14.0 15.4 14.9 13.1 13.0 13.3 15.3 10.7 9.4 9.8 15.9 6.2 2.3 5.1 -14.4 19631963 11.1 10.7 10.0 11.8 13.9 16.8 17.6 15.1 14.9 13.5 12.2 15.7 14.9 15.6 16.5 18.0 17.4 15.4 14.1 11.8 13.2 14.2 15.7 15.2 13.5 13.4 13.8 15.7 11.6 10.5 11.0 16.4 8.6 6.2 9.4 0.8 18.6 19641964 11.3 10.9 10.2 12.0 14.0 16.8 17.6 15.1 15.0 13.7 12.4 15.8 15.0 15.6 16.6 18.0 17.5 15.5 14.3 12.1 13.5 14.4 15.8 15.3 13.8 13.7 14.1 15.8 12.2 11.3 11.8 16.5 10.0 8.4 11.4 6.1 18.1 17.5 19651965 11.9 11.5 10.9 12.7 14.7 17.4 18.2 15.8 15.7 14.4 13.2 16.5 15.8 16.4 17.4 18.7 18.3 16.4 15.3 13.3 14.7 15.6 17.0 16.7 15.3 15.3 15.8 17.6 14.3 13.7 14.5 19.1 13.7 12.9 16.3 13.4 24.5 27.5 38.4 19661966 11.4 11.0 10.4 12.1 14.0 16.6 17.3 15.1 15.0 13.7 12.5 15.6 14.9 15.5 16.4 17.6 17.1 15.3 14.2 12.2 13.5 14.4 15.6 15.2 13.8 13.8 14.1 15.5 12.4 11.8 12.2 15.9 11.0 9.9 12.2 9.1 15.9 15.1 13.9 -6.3 19671967 12.7 12.3 11.7 13.4 15.4 18.0 18.7 16.5 16.5 15.2 14.1 17.3 16.6 17.3 18.2 19.5 19.1 17.4 16.4 14.6 15.9 16.9 18.1 17.9 16.7 16.9 17.4 19.1 16.4 16.1 16.9 20.9 16.8 16.6 19.7 18.2 26.1 28.0 31.7 28.4 76.11968 13.3 12.9 12.4 14.0 15.9 18.5 19.2 17.1 17.1 15.9 14.8 17.9 17.3 18.0 18.9 20.1 19.8 18.2 17.3 15.5 16.9 17.8 19.1 19.0 17.9 18.1 18.7 20.3 17.9 17.7 18.6 22.4 18.9 18.9 22.0 21.0 28.1 30.1 33.5 31.9 56.51969 12.2 11.8 11.3 12.9 14.7 17.1 17.8 15.7 15.6 14.5 13.4 16.3 15.7 16.2 17.0 18.2 17.8 16.2 15.2 13.5 14.7 15.5 16.6 16.3 15.2 15.2 15.6 16.9 14.5 14.1 14.6 17.6 14.1 13.7 15.7 14.1 18.9 18.9 19.2 14.9 22.91970 11.6 11.2 10.7 12.2 13.9 16.3 16.9 14.9 14.8 13.6 12.6 15.3 14.7 15.2 16.0 17.0 16.6 15.0 14.1 12.4 13.5 14.2 15.1 14.8 13.7 13.6 13.9 15.0 12.6 12.2 12.5 15.1 11.7 11.1 12.6 10.9 14.6 14.0 13.4 9.0 13.21971 11.8 11.5 10.9 12.4 14.1 16.4 17.0 15.0 14.9 13.8 12.8 15.5 14.9 15.4 16.1 17.1 16.7 15.2 14.3 12.7 13.8 14.5 15.4 15.1 14.0 14.0 14.3 15.3 13.1 12.7 13.1 15.5 12.4 11.9 13.4 11.9 15.3 14.9 14.5 10.9 14.71972 11.6 11.3 10.8 12.2 13.9 16.1 16.7 14.7 14.7 13.6 12.6 15.2 14.6 15.1 15.7 16.7 16.3 14.9 14.0 12.4 13.4 14.1 14.9 14.6 13.6 13.6 13.8 14.7 12.6 12.2 12.5 14.8 11.9 11.3 12.6 11.3 14.2 13.7 13.3 10.1 13.11973 10.4 10.0 9.5 10.8 12.4 14.5 15.0 13.1 13.0 11.9 10.9 13.4 12.8 13.1 13.7 14.6 14.1 12.7 11.8 10.2 11.1 11.6 12.3 11.9 10.9 10.7 10.8 11.5 9.4 8.8 9.0 10.7 7.9 7.1 8.0 6.4 8.5 7.5 6.5 3.0 4.41974 9.4 9.0 8.5 9.8 11.3 13.3 13.7 11.9 11.7 10.6 9.7 12.0 11.3 11.7 12.2 13.0 12.5 11.1 10.2 8.6 9.4 9.8 10.4 10.0 8.9 8.6 8.6 9.2 7.1 6.5 6.5 8.0 5.2 4.3 4.9 3.2 4.8 3.6 2.3 -1.0 -0.31975 10.1 9.8 9.3 10.6 12.1 14.1 14.5 12.7 12.6 11.5 10.6 12.9 12.3 12.7 13.2 14.0 13.6 12.2 11.3 9.9 10.6 11.1 11.8 11.4 10.4 10.2 10.2 10.9 9.0 8.4 8.5 10.1 7.5 6.8 7.5 6.1 7.9 7.1 6.2 3.4 4.51976 10.8 10.4 9.9 11.3 12.7 14.7 15.2 13.4 13.3 12.3 11.4 13.7 13.1 13.5 14.0 14.8 14.4 13.1 12.3 10.9 11.7 12.2 12.9 12.5 11.6 11.5 11.6 12.3 10.5 10.0 10.2 11.8 9.4 8.9 9.7 8.5 10.3 9.7 9.1 6.8 8.21977 11.0 10.6 10.1 11.4 12.9 14.8 15.3 13.6 13.5 12.5 11.6 13.8 13.3 13.7 14.2 15.0 14.6 13.3 12.5 11.2 12.0 12.5 13.1 12.8 11.9 11.8 11.9 12.6 10.9 10.5 10.7 12.2 10.0 9.5 10.3 9.2 11.0 10.5 9.9 7.8 9.21978 11.1 10.8 10.3 11.6 13.0 14.9 15.4 13.7 13.6 12.7 11.8 14.0 13.5 13.8 14.4 15.1 14.8 13.5 12.8 11.5 12.2 12.7 13.3 13.0 12.2 12.1 12.2 12.9 11.3 10.9 11.1 12.6 10.4 10.0 10.8 9.8 11.5 11.1 10.6 8.7 10.11979 11.6 11.3 10.9 12.1 13.5 15.4 15.9 14.3 14.2 13.2 12.4 14.6 14.1 14.4 15.0 15.8 15.4 14.2 13.5 12.2 13.0 13.5 14.2 13.9 13.1 13.0 13.2 13.9 12.3 12.0 12.2 13.7 11.8 11.4 12.2 11.4 13.1 12.8 12.5 10.8 12.21980 12.1 11.8 11.3 12.6 14.0 15.8 16.3 14.7 14.6 13.7 12.9 15.0 14.6 14.9 15.5 16.3 15.9 14.8 14.1 12.9 13.7 14.1 14.8 14.6 13.8 13.8 14.0 14.6 13.2 12.9 13.2 14.6 12.8 12.5 13.4 12.6 14.3 14.1 13.8 12.4 13.81981 11.9 11.6 11.1 12.4 13.7 15.5 16.0 14.4 14.3 13.5 12.7 14.7 14.3 14.6 15.1 15.9 15.6 14.4 13.8 12.6 13.3 13.8 14.4 14.2 13.4 13.4 13.5 14.2 12.8 12.5 12.7 14.1 12.3 12.0 12.8 12.1 13.7 13.4 13.1 11.7 13.01982 12.1 11.9 11.4 12.6 14.0 15.8 16.2 14.7 14.6 13.8 13.0 15.0 14.6 14.9 15.4 16.2 15.9 14.8 14.1 13.0 13.7 14.2 14.8 14.6 13.9 13.8 14.0 14.6 13.3 13.0 13.3 14.6 12.9 12.7 13.5 12.8 14.3 14.1 13.9 12.6 13.91983 12.5 12.2 11.8 13.0 14.3 16.1 16.6 15.0 15.0 14.1 13.4 15.4 15.0 15.3 15.8 16.6 16.3 15.2 14.6 13.5 14.2 14.7 15.3 15.1 14.4 14.4 14.6 15.2 13.9 13.7 14.0 15.3 13.7 13.5 14.3 13.6 15.2 15.0 14.9 13.7 15.01984 12.2 11.9 11.5 12.7 14.0 15.7 16.1 14.6 14.6 13.7 13.0 15.0 14.5 14.9 15.3 16.0 15.7 14.7 14.1 13.0 13.7 14.1 14.7 14.5 13.8 13.8 14.0 14.6 13.3 13.1 13.3 14.6 13.0 12.7 13.5 12.8 14.2 14.0 13.9 12.7 13.91985 12.5 12.2 11.8 13.0 14.3 16.0 16.4 14.9 14.9 14.1 13.4 15.3 14.9 15.2 15.7 16.4 16.1 15.1 14.5 13.4 14.1 14.6 15.1 15.0 14.3 14.3 14.5 15.1 13.9 13.6 13.9 15.1 13.6 13.4 14.1 13.6 15.0 14.8 14.7 13.6 14.81986 12.4 12.2 11.8 12.9 14.2 15.8 16.2 14.8 14.7 14.0 13.3 15.1 14.7 15.0 15.5 16.2 15.9 14.9 14.3 13.3 14.0 14.4 14.9 14.7 14.1 14.1 14.3 14.8 13.7 13.5 13.7 14.9 13.4 13.2 13.9 13.3 14.6 14.5 14.3 13.3 14.41987 12.0 11.8 11.4 12.5 13.7 15.3 15.7 14.3 14.3 13.5 12.8 14.6 14.2 14.5 14.9 15.6 15.3 14.3 13.7 12.7 13.4 13.8 14.3 14.1 13.5 13.4 13.6 14.1 12.9 12.7 12.9 14.0 12.6 12.4 13.0 12.4 13.6 13.4 13.3 12.2 13.21988 12.2 12.0 11.6 12.7 13.9 15.5 15.9 14.5 14.4 13.7 13.0 14.8 14.4 14.7 15.1 15.7 15.5 14.5 13.9 13.0 13.6 14.0 14.5 14.3 13.7 13.7 13.8 14.3 13.2 13.0 13.2 14.3 12.9 12.7 13.3 12.8 14.0 13.8 13.7 12.7 13.61989 12.3 12.0 11.7 12.7 13.9 15.5 15.9 14.5 14.5 13.7 13.1 14.8 14.4 14.7 15.2 15.8 15.5 14.6 14.0 13.0 13.7 14.1 14.6 14.4 13.8 13.8 13.9 14.4 13.3 13.1 13.3 14.4 13.1 12.9 13.5 12.9 14.1 13.9 13.8 12.9 13.81990 11.7 11.4 11.1 12.1 13.3 14.8 15.1 13.8 13.7 13.0 12.3 14.0 13.6 13.9 14.3 14.9 14.6 13.7 13.1 12.2 12.7 13.1 13.6 13.4 12.8 12.7 12.8 13.3 12.2 12.0 12.1 13.1 11.8 11.6 12.1 11.6 12.6 12.4 12.2 11.3 12.11991 12.2 11.9 11.6 12.6 13.7 15.3 15.6 14.3 14.3 13.5 12.9 14.6 14.2 14.5 14.9 15.5 15.2 14.3 13.8 12.8 13.4 13.8 14.3 14.1 13.5 13.5 13.6 14.1 13.1 12.9 13.0 14.0 12.8 12.6 13.1 12.6 13.7 13.5 13.4 12.5 13.41992 12.3 12.1 11.7 12.7 13.8 15.3 15.7 14.4 14.4 13.6 13.0 14.7 14.3 14.6 15.0 15.6 15.3 14.4 13.9 13.0 13.6 13.9 14.4 14.2 13.7 13.7 13.8 14.2 13.2 13.1 13.2 14.2 13.0 12.8 13.4 12.9 13.9 13.8 13.6 12.8 13.61993 12.4 12.2 11.8 12.8 13.9 15.4 15.8 14.5 14.5 13.8 13.1 14.8 14.4 14.7 15.1 15.6 15.4 14.5 14.0 13.1 13.7 14.1 14.5 14.4 13.8 13.8 13.9 14.4 13.4 13.2 13.4 14.4 13.2 13.0 13.6 13.1 14.1 14.0 13.8 13.1 13.81994 12.2 12.0 11.6 12.6 13.7 15.1 15.5 14.2 14.2 13.5 12.9 14.5 14.1 14.3 14.7 15.3 15.0 14.2 13.7 12.8 13.4 13.7 14.1 14.0 13.4 13.4 13.5 14.0 13.0 12.8 13.0 13.9 12.7 12.6 13.1 12.6 13.6 13.4 13.3 12.5 13.21995 12.4 12.2 11.9 12.8 13.9 15.3 15.7 14.5 14.4 13.7 13.1 14.7 14.4 14.6 15.0 15.6 15.3 14.5 14.0 13.1 13.7 14.0 14.5 14.3 13.8 13.8 13.9 14.3 13.4 13.2 13.4 14.3 13.2 13.0 13.5 13.1 14.1 13.9 13.8 13.1 13.81996 12.5 12.3 11.9 12.9 14.0 15.4 15.7 14.5 14.5 13.8 13.2 14.8 14.4 14.7 15.1 15.6 15.3 14.5 14.1 13.2 13.8 14.1 14.5 14.4 13.9 13.9 14.0 14.4 13.5 13.3 13.5 14.4 13.3 13.1 13.6 13.2 14.2 14.0 13.9 13.2 13.91997 12.7 12.5 12.1 13.1 14.1 15.5 15.9 14.7 14.6 14.0 13.4 14.9 14.6 14.9 15.2 15.8 15.5 14.7 14.3 13.5 14.0 14.3 14.8 14.6 14.1 14.1 14.2 14.6 13.8 13.6 13.8 14.6 13.6 13.5 13.9 13.6 14.5 14.4 14.3 13.6 14.31998 12.4 12.2 11.9 12.8 13.9 15.2 15.6 14.4 14.3 13.7 13.1 14.6 14.3 14.5 14.9 15.4 15.2 14.4 13.9 13.1 13.6 14.0 14.4 14.2 13.7 13.7 13.8 14.2 13.4 13.2 13.4 14.2 13.2 13.0 13.5 13.1 14.0 13.8 13.7 13.1 13.71999 12.7 12.4 12.1 13.1 14.1 15.4 15.8 14.6 14.5 13.9 13.4 14.8 14.5 14.8 15.1 15.6 15.4 14.6 14.2 13.4 13.9 14.2 14.6 14.5 14.0 14.0 14.1 14.5 13.7 13.5 13.7 14.5 13.5 13.4 13.8 13.5 14.3 14.2 14.1 13.5 14.12000 12.3 12.1 11.7 12.7 13.7 15.0 15.3 14.1 14.1 13.5 12.9 14.3 14.0 14.3 14.6 15.1 14.9 14.1 13.6 12.9 13.4 13.7 14.1 13.9 13.4 13.4 13.5 13.9 13.0 12.9 13.0 13.8 12.8 12.7 13.1 12.7 13.5 13.4 13.3 12.7 13.32001 12.3 12.1 11.8 12.7 13.7 15.0 15.3 14.2 14.1 13.5 13.0 14.4 14.1 14.3 14.7 15.1 14.9 14.2 13.7 13.0 13.4 13.7 14.1 14.0 13.5 13.5 13.6 14.0 13.2 13.0 13.1 13.9 12.9 12.8 13.2 12.9 13.7 13.5 13.4 12.8 13.42002 11.8 11.6 11.3 12.2 13.2 14.4 14.7 13.6 13.5 12.9 12.4 13.8 13.4 13.7 14.0 14.5 14.2 13.5 13.0 12.3 12.7 13.0 13.4 13.2 12.8 12.7 12.8 13.2 12.3 12.2 12.3 13.0 12.1 11.9 12.3 11.9 12.7 12.5 12.4 11.8 12.32003 12.3 12.2 11.8 12.7 13.7 14.9 15.2 14.1 14.1 13.5 13.0 14.3 14.0 14.3 14.6 15.1 14.8 14.1 13.7 12.9 13.4 13.7 14.1 13.9 13.5 13.5 13.5 13.9 13.1 13.0 13.1 13.8 12.9 12.8 13.2 12.8 13.6 13.5 13.4 12.8 13.32004 12.4 12.2 11.9 12.8 13.8 15.0 15.3 14.2 14.2 13.6 13.1 14.4 14.1 14.3 14.7 15.1 14.9 14.2 13.8 13.0 13.5 13.8 14.2 14.0 13.6 13.6 13.7 14.0 13.2 13.1 13.2 14.0 13.1 12.9 13.3 13.0 13.7 13.6 13.5 12.9 13.52005 12.3 12.2 11.9 12.7 13.6 14.9 15.2 14.1 14.0 13.5 12.9 14.3 14.0 14.2 14.5 15.0 14.7 14.0 13.6 12.9 13.4 13.6 14.0 13.9 13.4 13.4 13.5 13.8 13.1 12.9 13.1 13.8 12.9 12.8 13.1 12.8 13.5 13.4 13.3 12.7 13.32006 12.4 12.2 11.9 12.8 13.7 14.9 15.2 14.1 14.1 13.5 13.0 14.3 14.0 14.2 14.5 15.0 14.8 14.1 13.7 13.0 13.4 13.7 14.1 13.9 13.5 13.5 13.6 13.9 13.2 13.0 13.1 13.8 13.0 12.9 13.2 12.9 13.6 13.5 13.4 12.9 13.42007 12.2 12.0 11.7 12.5 13.5 14.6 14.9 13.9 13.8 13.3 12.8 14.1 13.8 14.0 14.3 14.7 14.5 13.8 13.4 12.7 13.1 13.4 13.7 13.6 13.2 13.2 13.2 13.6 12.8 12.7 12.8 13.5 12.6 12.5 12.9 12.5 13.2 13.1 13.0 12.5 13.02008 11.4 11.2 10.9 11.7 12.6 13.7 14.0 13.0 12.9 12.3 11.8 13.1 12.8 12.9 13.2 13.6 13.4 12.7 12.3 11.6 12.0 12.3 12.6 12.4 12.0 12.0 12.0 12.3 11.6 11.4 11.5 12.1 11.3 11.1 11.4 11.1 11.7 11.6 11.4 10.9 11.32009 11.8 11.6 11.3 12.1 12.9 14.1 14.4 13.3 13.3 12.7 12.2 13.5 13.2 13.4 13.7 14.1 13.9 13.2 12.8 12.1 12.5 12.8 13.1 12.9 12.5 12.5 12.5 12.8 12.1 12.0 12.1 12.7 11.9 11.7 12.1 11.7 12.4 12.2 12.1 11.6 12.12010 12.0 11.8 11.5 12.3 13.1 14.3 14.5 13.5 13.5 12.9 12.5 13.7 13.4 13.6 13.9 14.3 14.1 13.4 13.0 12.4 12.8 13.0 13.3 13.2 12.8 12.8 12.8 13.1 12.4 12.3 12.4 13.0 12.2 12.1 12.4 12.1 12.7 12.6 12.5 12.0 12.42011 11.7 11.5 11.3 12.0 12.9 14.0 14.3 13.3 13.2 12.7 12.2 13.4 13.1 13.3 13.6 14.0 13.8 13.1 12.7 12.1 12.5 12.7 13.0 12.9 12.5 12.4 12.5 12.8 12.1 11.9 12.0 12.6 11.8 11.7 12.0 11.7 12.3 12.2 12.1 11.6 12.02012 11.8 11.6 11.3 12.1 12.9 14.0 14.3 13.3 13.3 12.7 12.3 13.5 13.2 13.4 13.6 14.0 13.8 13.2 12.8 12.1 12.5 12.8 13.1 12.9 12.5 12.5 12.6 12.9 12.2 12.0 12.1 12.7 11.9 11.8 12.1 11.8 12.4 12.3 12.2 11.7 12.1

1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967

Page 17: Dfa matrix book us_2013 - copy

DIMENSIONAL FUND ADVISORS MATRIX BOOK 201330 31

DImENSIONAL INTERNATIONAL LARGE CAP GROWTH INDEX

1992–2012: Total Returns (%) in US Dollars19921992 -17.9 19931993 0.3 22.4 19941994 2.4 14.4 6.9 19951995 3.7 12.1 7.3 7.8 19961996 4.5 10.9 7.3 7.6 7.4 19971997 4.2 9.3 6.2 6.0 5.1 2.8 19981998 6.1 10.7 8.5 8.9 9.3 10.2 18.1 19991999 10.3 15.0 13.8 15.3 17.2 20.7 30.8 44.8 20002000 6.3 9.7 8.0 8.2 8.3 8.6 10.6 7.0 -21.0 20012001 3.2 5.8 3.9 3.5 2.8 1.9 1.6 -3.3 -21.0 -21.0 20022002 2.0 4.2 2.3 1.8 1.0 -0.1 -0.6 -4.8 -17.3 -15.4 -9.3 20032003 4.6 6.9 5.5 5.3 5.0 4.7 5.0 2.6 -5.9 -0.3 12.1 38.5 20042004 5.6 7.9 6.7 6.6 6.5 6.4 6.9 5.2 -1.4 4.3 14.4 28.4 19.1 20052005 6.5 8.6 7.5 7.6 7.6 7.6 8.2 6.9 1.6 6.8 15.2 24.8 18.5 17.8 20062006 7.5 9.6 8.7 8.8 8.9 9.1 9.8 8.8 4.4 9.4 16.8 24.4 20.0 20.4 23.0 20072007 7.9 9.9 9.1 9.3 9.4 9.6 10.3 9.4 5.7 10.1 16.4 22.4 18.6 18.5 18.8 14.7 20082008 4.2 5.8 4.8 4.6 4.4 4.2 4.3 3.0 -0.8 2.0 5.8 8.6 3.4 -0.2 -5.6 -17.3 -40.3 20092009 5.6 7.2 6.3 6.3 6.2 6.1 6.4 5.3 2.1 5.0 8.8 11.7 7.7 5.6 2.7 -3.3 -11.2 32.2 20102010 5.9 7.4 6.6 6.6 6.5 6.5 6.8 5.9 2.9 5.6 9.1 11.7 8.3 6.6 4.4 0.2 -4.2 21.5 11.6 20112011 5.1 6.5 5.7 5.6 5.5 5.3 5.5 4.6 1.8 4.2 7.1 9.1 5.9 4.1 2.0 -1.8 -5.5 10.2 0.6 -9.4 20122012 5.7 7.0 6.3 6.2 6.1 6.1 6.3 5.5 3.0 5.3 8.0 9.9 7.2 5.7 4.1 1.3 -1.2 12.0 6.0 3.3 17.9

1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

mSCI EAFE INDEX1970–2012: Total Returns (%) in US Dollars

Data copyright mSci 2013, all rights reserved.

19701970 -11.7 19711971 7.0 29.6 19721972 16.0 32.9 36.3 19731973 7.3 14.6 7.7 -14.9 19741974 0.4 3.7 -3.8 -19.1 -23.2 19751975 5.5 9.4 4.8 -4.0 2.0 35.4 19761976 5.1 8.2 4.4 -2.4 2.2 17.8 2.5 19771977 6.6 9.5 6.5 1.4 5.9 17.9 10.0 18.1 19781978 9.3 12.2 9.9 6.0 10.8 21.4 17.1 25.1 32.6 19791979 8.8 11.3 9.3 5.8 9.8 17.9 13.9 17.9 17.9 4.8 19801980 10.0 12.4 10.7 7.8 11.5 18.7 15.6 19.1 19.4 13.3 22.6 19811981 8.9 11.0 9.3 6.6 9.7 15.4 12.4 14.5 13.6 7.9 9.4 -2.3 19821982 8.0 9.9 8.2 5.8 8.3 13.1 10.2 11.6 10.3 5.3 5.5 -2.1 -1.9 19831983 9.1 10.9 9.4 7.3 9.8 14.2 11.8 13.2 12.4 8.8 9.8 5.9 10.2 23.7 19841984 9.0 10.6 9.3 7.3 9.6 13.5 11.3 12.5 11.7 8.5 9.3 6.2 9.2 15.2 7.4 19851985 11.4 13.2 12.1 10.4 12.9 16.9 15.2 16.7 16.5 14.3 16.0 14.7 19.4 27.5 29.5 56.2 19861986 14.2 16.1 15.2 13.9 16.4 20.5 19.3 21.1 21.4 20.1 22.5 22.4 28.1 36.9 41.6 62.7 69.4 19871987 14.8 16.6 15.8 14.5 17.0 20.8 19.7 21.4 21.7 20.6 22.7 22.8 27.5 34.4 37.2 48.8 45.3 24.6 19881988 15.5 17.2 16.5 15.4 17.7 21.4 20.3 22.0 22.3 21.3 23.3 23.4 27.6 33.3 35.3 43.4 39.4 26.4 28.3 19891989 15.2 16.8 16.2 15.1 17.3 20.6 19.6 21.0 21.3 20.3 22.0 21.9 25.3 29.8 30.9 36.1 31.5 20.9 19.1 10.5 19901990 13.0 14.4 13.6 12.5 14.4 17.2 16.1 17.1 17.1 15.9 16.9 16.4 18.7 21.5 21.2 23.7 18.0 7.8 2.8 -8.0 -23.4 19911991 12.9 14.3 13.6 12.5 14.2 16.9 15.9 16.8 16.7 15.6 16.5 16.0 18.0 20.4 20.0 22.0 17.0 8.7 5.0 -1.7 -7.4 12.1 19921992 11.7 12.9 12.2 11.1 12.7 15.1 14.0 14.7 14.5 13.3 14.0 13.3 14.9 16.7 15.9 17.1 12.3 4.9 1.3 -4.5 -9.0 -0.8 -12.2 19931993 12.5 13.7 13.0 12.0 13.6 15.9 14.9 15.7 15.6 14.5 15.3 14.7 16.2 18.1 17.5 18.7 14.7 8.5 6.0 2.0 0.0 9.3 7.9 32.6 19941994 12.3 13.5 12.8 11.8 13.3 15.5 14.6 15.3 15.1 14.1 14.7 14.2 15.6 17.2 16.6 17.5 13.9 8.4 6.2 2.9 1.5 8.9 7.9 19.5 7.8 19951995 12.3 13.4 12.7 11.8 13.2 15.3 14.4 15.0 14.9 13.9 14.5 14.0 15.3 16.7 16.1 17.0 13.6 8.7 6.8 4.1 3.1 9.4 8.7 16.7 9.5 11.2 19961996 12.0 13.1 12.5 11.6 12.9 14.9 14.0 14.6 14.4 13.5 14.0 13.5 14.6 15.9 15.3 16.0 12.9 8.4 6.8 4.3 3.5 8.8 8.2 13.9 8.3 8.6 6.0 19971997 11.7 12.6 12.0 11.1 12.4 14.3 13.4 13.9 13.7 12.8 13.3 12.8 13.8 14.9 14.3 14.8 11.9 7.8 6.2 4.0 3.3 7.8 7.1 11.4 6.6 6.3 3.9 1.8 19981998 11.9 12.9 12.3 11.5 12.7 14.5 13.7 14.2 14.0 13.2 13.6 13.1 14.1 15.2 14.7 15.2 12.5 8.8 7.4 5.5 5.0 9.2 8.8 12.8 9.2 9.6 9.0 10.5 20.0 19991999 12.4 13.3 12.8 12.0 13.2 15.0 14.2 14.7 14.6 13.8 14.3 13.8 14.8 15.9 15.4 16.0 13.5 10.1 8.9 7.3 7.0 11.1 10.9 14.7 12.0 12.8 13.2 15.7 23.4 27.0 20002000 11.4 12.3 11.7 11.0 12.1 13.7 12.9 13.4 13.2 12.3 12.7 12.2 13.1 14.0 13.4 13.8 11.4 8.1 7.0 5.3 4.9 8.2 7.8 10.6 7.8 7.8 7.1 7.4 9.4 4.4 -14.2 20012001 10.2 11.0 10.4 9.6 10.6 12.1 11.3 11.7 11.4 10.6 10.9 10.3 11.0 11.7 11.1 11.3 9.0 5.9 4.6 3.0 2.4 5.1 4.5 6.5 3.6 3.0 1.7 0.9 0.7 -5.0 -17.9 -21.4 20022002 9.3 10.1 9.5 8.7 9.6 11.0 10.2 10.5 10.2 9.3 9.6 9.0 9.6 10.2 9.5 9.6 7.4 4.3 3.1 1.5 0.9 3.2 2.4 4.0 1.2 0.4 -1.0 -2.1 -2.9 -7.9 -17.2 -18.7 -15.9 20032003 10.1 10.8 10.3 9.5 10.5 11.8 11.1 11.4 11.2 10.4 10.6 10.1 10.7 11.4 10.8 11.0 8.9 6.1 5.0 3.6 3.2 5.6 5.0 6.8 4.5 4.1 3.3 2.9 3.0 -0.1 -5.9 -2.9 7.9 38.6 20042004 10.4 11.1 10.6 9.9 10.8 12.1 11.4 11.7 11.5 10.8 11.0 10.5 11.1 11.8 11.2 11.4 9.5 6.8 5.9 4.6 4.2 6.5 6.1 7.8 5.8 5.6 5.0 4.9 5.3 3.1 -1.1 2.4 11.9 29.1 20.2 20052005 10.5 11.2 10.7 10.0 10.8 12.2 11.5 11.8 11.6 10.9 11.1 10.7 11.2 11.8 11.3 11.5 9.7 7.2 6.3 5.1 4.8 7.0 6.6 8.2 6.4 6.3 5.8 5.8 6.3 4.5 1.2 4.6 12.3 23.7 16.8 13.5 20062006 10.9 11.6 11.1 10.4 11.3 12.6 11.9 12.2 12.0 11.4 11.6 11.2 11.8 12.4 11.9 12.2 10.4 8.1 7.3 6.2 5.9 8.1 7.9 9.4 7.8 7.9 7.6 7.7 8.4 7.0 4.4 7.9 15.0 24.3 19.9 19.8 26.3 20072007 10.9 11.5 11.1 10.4 11.3 12.5 11.9 12.2 12.0 11.4 11.6 11.2 11.8 12.4 11.9 12.1 10.4 8.2 7.4 6.5 6.2 8.3 8.1 9.6 8.1 8.1 7.9 8.0 8.7 7.5 5.3 8.4 14.3 21.6 17.7 16.8 18.5 11.2 20082008 9.0 9.6 9.1 8.4 9.2 10.3 9.6 9.8 9.6 8.9 9.0 8.6 9.0 9.4 8.9 9.0 7.3 5.1 4.2 3.1 2.8 4.5 4.0 5.1 3.5 3.2 2.6 2.4 2.4 0.8 -1.8 -0.1 3.4 7.0 1.7 -2.5 -7.4 -20.7 -43.4 20092009 9.5 10.1 9.6 9.0 9.7 10.9 10.2 10.4 10.2 9.6 9.7 9.3 9.7 10.2 9.7 9.8 8.2 6.1 5.3 4.4 4.1 5.7 5.4 6.5 5.1 4.9 4.5 4.4 4.6 3.3 1.2 3.0 6.6 10.3 6.2 3.5 1.2 -6.0 -13.6 31.8 20102010 9.4 10.0 9.6 8.9 9.7 10.8 10.1 10.4 10.1 9.5 9.7 9.2 9.7 10.1 9.6 9.7 8.2 6.2 5.4 4.5 4.2 5.8 5.5 6.6 5.3 5.1 4.7 4.6 4.8 3.6 1.8 3.5 6.7 10.0 6.4 4.2 2.5 -2.8 -7.0 19.2 7.8 20112011 8.9 9.4 9.0 8.3 9.0 10.1 9.4 9.6 9.4 8.8 8.9 8.5 8.9 9.3 8.8 8.8 7.3 5.4 4.6 3.7 3.4 4.9 4.6 5.5 4.2 4.0 3.6 3.4 3.5 2.3 0.5 2.0 4.7 7.2 3.9 1.7 -0.1 -4.7 -8.3 7.6 -2.7 -12.1 20122012 9.1 9.6 9.2 8.6 9.2 10.3 9.6 9.9 9.6 9.0 9.1 8.7 9.1 9.5 9.1 9.1 7.7 5.8 5.1 4.3 4.0 5.4 5.1 6.1 4.9 4.7 4.3 4.2 4.4 3.3 1.7 3.2 5.8 8.2 5.3 3.5 2.2 -1.4 -3.7 10.0 3.6 1.5 17.3

1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

1970

$42

1926 2012

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

19921926 2012

$3.19

index data compiled by Dimensional incorporating new research on direct profitability.

Data provided by Dow jones indexes.

Data provided by Dow jones indexes.

19781978 11.0 19791979 28.6 49.0 19801980 30.1 40.8 33.1 19811981 26.9 32.7 25.3 17.9 19821982 25.7 29.7 23.8 19.4 20.9 19831983 26.8 30.2 25.8 23.5 26.4 32.2 19841984 26.0 28.7 25.0 23.1 24.9 26.9 21.9 19851985 23.4 25.3 21.7 19.6 20.0 19.7 13.9 6.5 19861986 23.0 24.6 21.5 19.6 20.0 19.7 15.8 12.9 19.7 19871987 19.7 20.7 17.5 15.5 15.1 13.9 9.8 6.0 5.8 -6.6 19881988 19.5 20.3 17.5 15.7 15.4 14.5 11.3 8.8 9.5 4.8 17.5 19891989 18.0 18.6 16.0 14.2 13.7 12.7 9.8 7.5 7.8 4.1 9.9 2.7 19901990 14.1 14.4 11.7 9.7 8.8 7.4 4.3 1.6 0.7 -3.6 -2.6 -11.3 -23.4 19911991 14.8 15.1 12.6 10.9 10.3 9.1 6.5 4.5 4.2 1.3 3.4 -0.9 -2.6 23.8 19921992 14.8 15.1 12.8 11.3 10.7 9.7 7.5 5.8 5.7 3.5 5.7 2.9 3.0 19.4 15.1 19931993 14.8 15.1 13.0 11.6 11.1 10.2 8.2 6.8 6.8 5.1 7.2 5.2 5.9 18.0 15.1 15.1 19941994 14.1 14.3 12.3 10.9 10.4 9.5 7.7 6.4 6.4 4.8 6.5 4.8 5.2 13.9 10.8 8.7 2.7 19951995 14.0 14.1 12.3 11.0 10.5 9.8 8.1 6.9 6.9 5.6 7.2 5.8 6.4 13.6 11.2 9.9 7.3 12.2 19961996 15.1 15.3 13.6 12.5 12.1 11.5 10.1 9.1 9.4 8.4 10.2 9.3 10.3 17.2 15.9 16.1 16.4 24.0 37.1 19971997 15.3 15.5 13.9 12.9 12.6 12.0 10.7 9.9 10.2 9.4 11.1 10.4 11.4 17.6 16.5 16.8 17.2 22.6 28.1 19.7 19981998 13.5 13.6 12.0 11.0 10.6 10.0 8.6 7.7 7.8 6.9 8.2 7.3 7.8 12.5 11.0 10.3 9.4 11.2 10.8 -0.3 -17.0 19991999 12.7 12.8 11.3 10.2 9.8 9.2 7.9 7.0 7.0 6.1 7.3 6.4 6.7 10.8 9.2 8.4 7.3 8.3 7.3 -1.1 -10.1 -2.6 20002000 13.5 13.6 12.1 11.2 10.8 10.3 9.1 8.4 8.5 7.7 8.9 8.2 8.7 12.6 11.5 11.0 10.4 11.8 11.7 6.1 1.9 13.0 31.0 20012001 13.4 13.5 12.1 11.2 10.9 10.4 9.3 8.6 8.7 8.0 9.2 8.5 9.0 12.6 11.5 11.2 10.7 11.9 11.8 7.3 4.5 12.8 21.3 12.3 20022002 13.0 13.1 11.7 10.9 10.5 10.0 9.0 8.3 8.4 7.7 8.8 8.2 8.6 11.8 10.8 10.4 9.9 10.8 10.6 6.7 4.3 10.4 15.1 7.9 3.6 20032003 13.8 13.9 12.7 11.9 11.6 11.2 10.2 9.6 9.8 9.2 10.3 9.9 10.4 13.5 12.7 12.5 12.2 13.4 13.5 10.5 9.0 15.1 20.0 16.6 18.8 36.2 20042004 14.5 14.6 13.4 12.7 12.5 12.1 11.2 10.7 10.9 10.5 11.5 11.2 11.8 14.8 14.2 14.1 14.0 15.2 15.5 13.1 12.2 18.0 22.6 20.5 23.4 34.7 33.2 20052005 14.5 14.6 13.4 12.7 12.5 12.2 11.3 10.8 11.1 10.6 11.7 11.3 11.9 14.8 14.1 14.1 14.0 15.1 15.4 13.2 12.4 17.4 21.1 19.2 20.9 27.3 23.1 13.8 20062006 15.1 15.3 14.2 13.5 13.4 13.1 12.3 11.9 12.1 11.8 12.8 12.6 13.2 16.0 15.5 15.5 15.5 16.7 17.1 15.3 14.8 19.5 23.1 21.8 23.8 29.4 27.3 24.4 36.0 20072007 13.9 14.0 12.9 12.2 12.0 11.6 10.9 10.4 10.6 10.2 11.1 10.7 11.2 13.7 13.1 12.9 12.8 13.6 13.7 11.8 11.1 14.7 17.1 15.2 15.7 18.3 14.2 8.5 5.9 -17.6 20082008 11.6 11.6 10.5 9.8 9.5 9.1 8.2 7.7 7.7 7.2 7.9 7.5 7.7 9.8 9.0 8.7 8.2 8.6 8.4 6.3 5.1 7.7 8.9 6.4 5.5 5.9 0.7 -6.1 -12.0 -29.2 -39.2 20092009 12.1 12.1 11.1 10.4 10.1 9.7 8.9 8.5 8.5 8.1 8.8 8.4 8.7 10.7 10.0 9.7 9.4 9.9 9.7 7.8 6.9 9.4 10.7 8.6 8.2 8.8 4.8 -0.1 -3.3 -13.6 -11.6 28.5 20102010 12.5 12.6 11.6 10.9 10.7 10.3 9.6 9.1 9.3 8.8 9.6 9.2 9.5 11.5 10.9 10.7 10.4 10.9 10.8 9.2 8.4 10.8 12.1 10.4 10.2 11.1 7.9 4.2 2.3 -4.7 0.0 28.3 28.1 20112011 12.4 12.5 11.5 10.9 10.6 10.3 9.6 9.2 9.3 8.9 9.6 9.2 9.5 11.4 10.8 10.6 10.4 10.8 10.7 9.2 8.5 10.7 11.9 10.3 10.1 10.9 8.1 4.9 3.5 -2.0 2.3 21.6 18.4 9.4 20122012 12.6 12.6 11.7 11.1 10.8 10.5 9.8 9.4 9.5 9.2 9.9 9.5 9.9 11.7 11.1 10.9 10.7 11.2 11.1 9.7 9.0 11.2 12.3 10.9 10.7 11.5 9.0 6.3 5.3 0.9 5.1 20.5 17.9 13.2 17.1

1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

19921992 3.7 19931993 1.3 -1.1 19941994 6.2 7.4 16.6 19951995 8.4 9.9 15.9 15.2 19961996 11.2 13.1 18.3 19.1 23.2 19971997 8.6 9.6 12.4 11.1 9.1 -3.4 19981998 2.6 2.4 3.1 0.0 -4.6 -16.0 -27.0 19991999 5.1 5.3 6.4 4.5 1.9 -4.3 -4.7 24.3 20002000 7.8 8.3 9.7 8.6 7.3 3.7 6.2 28.0 31.8 20012001 4.7 4.8 5.5 4.0 2.3 -1.4 -0.9 9.7 3.0 -19.5 20022002 6.4 6.7 7.6 6.6 5.4 2.7 3.9 13.5 10.1 0.7 25.9 20032003 7.8 8.2 9.2 8.4 7.5 5.5 7.0 15.5 13.4 7.9 24.9 23.9 20042004 7.9 8.3 9.2 8.4 7.7 5.9 7.3 14.4 12.6 8.2 19.4 16.3 9.1 20052005 8.8 9.2 10.1 9.6 9.0 7.5 9.0 15.4 14.0 10.7 19.9 18.0 15.1 21.4 20062006 8.4 8.7 9.5 8.9 8.4 7.0 8.2 13.7 12.2 9.2 16.1 13.8 10.6 11.3 2.1 20072007 8.8 9.2 10.0 9.5 9.0 7.8 9.0 13.9 12.7 10.2 16.1 14.3 12.0 12.9 8.9 16.2 20082008 5.5 5.6 6.1 5.4 4.7 3.3 3.9 7.6 5.9 3.0 6.7 3.8 0.2 -1.9 -8.6 -13.5 -35.6 20092009 6.2 6.4 6.9 6.2 5.6 4.4 5.1 8.6 7.1 4.7 8.2 5.9 3.1 2.0 -2.4 -3.8 -12.5 18.9 20102010 6.8 6.9 7.4 6.9 6.3 5.2 5.9 9.3 8.0 5.8 9.1 7.2 5.0 4.3 1.2 1.0 -3.7 17.9 16.8 20112011 5.6 5.8 6.1 5.6 5.0 3.9 4.4 7.3 6.0 3.9 6.6 4.7 2.5 1.6 -1.4 -2.1 -6.2 6.4 0.6 -13.3 20122012 5.3 5.4 5.8 5.2 4.6 3.6 4.0 6.7 5.5 3.5 5.9 4.1 2.1 1.2 -1.3 -1.9 -5.2 4.5 0.1 -7.4 -1.1

1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

DOW jONES US SELECT REIT INDEX

1978–2012: Total Returns (%)

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

1978 1926 2012

$63

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

19921926 2012

$2.97

DOW jONES-UBS COmmODITy INDEX

1992–2012: Total Returns (%)

Page 18: Dfa matrix book us_2013 - copy

DIMENSIONAL FUND ADVISORS MATRIX BOOK 201332 33

Data provided by fama/french.

19751975 39.0 19761976 19.9 3.4 19771977 23.2 15.9 30.0 19781978 27.8 24.2 36.2 42.7 19791979 23.1 19.4 25.3 23.0 6.1 19801980 22.4 19.3 23.7 21.6 12.3 18.9 19811981 20.4 17.5 20.6 18.4 11.2 13.8 9.0 19821982 17.3 14.5 16.5 13.9 7.7 8.3 3.3 -2.1 19831983 18.6 16.3 18.2 16.4 11.7 13.2 11.4 12.5 29.4 19841984 17.6 15.4 17.1 15.3 11.3 12.3 10.8 11.4 18.8 9.0 19851985 20.6 18.9 20.8 19.7 16.7 18.6 18.5 21.0 29.9 30.1 55.2 19861986 23.8 22.5 24.6 24.1 21.9 24.3 25.3 28.8 38.0 40.9 60.2 65.4 19871987 24.7 23.5 25.6 25.1 23.3 25.6 26.6 29.8 37.4 39.4 51.4 49.5 35.1 19881988 25.6 24.6 26.6 26.3 24.7 27.0 28.1 31.0 37.6 39.3 48.1 45.8 36.8 38.6 19891989 25.1 24.2 25.9 25.6 24.1 26.1 26.9 29.4 34.6 35.5 41.5 38.3 30.3 28.0 18.2 19901990 21.5 20.4 21.7 21.1 19.5 20.8 21.0 22.4 25.8 25.3 28.3 23.5 14.8 8.7 -3.7 -21.6 19911991 20.8 19.7 20.9 20.3 18.7 19.8 19.9 21.1 24.0 23.3 25.5 21.1 13.8 9.0 0.6 -7.2 9.9 19921992 18.8 17.7 18.7 18.0 16.4 17.2 17.1 17.9 20.1 19.1 20.4 16.1 9.5 4.9 -2.1 -8.1 -0.4 -9.8 19931993 20.2 19.2 20.2 19.6 18.2 19.1 19.2 20.0 22.3 21.6 23.1 19.6 14.2 11.0 6.2 3.4 13.3 15.1 46.9 19941994 20.0 19.0 20.0 19.4 18.1 18.9 18.9 19.7 21.8 21.1 22.4 19.2 14.4 11.7 7.8 5.8 14.0 15.4 30.6 16.2 19951995 19.5 18.6 19.5 18.9 17.6 18.4 18.3 19.0 20.8 20.2 21.2 18.3 13.9 11.5 8.1 6.5 13.3 14.1 23.5 13.2 10.3 19961996 19.1 18.2 19.0 18.4 17.2 17.9 17.8 18.4 20.1 19.4 20.3 17.5 13.6 11.4 8.4 7.1 12.8 13.4 20.0 12.2 10.3 10.2 19971997 18.2 17.3 18.0 17.4 16.2 16.8 16.7 17.2 18.6 17.9 18.6 16.0 12.3 10.2 7.5 6.2 10.9 11.1 15.8 9.1 6.9 5.2 0.4 19981998 18.4 17.6 18.2 17.7 16.6 17.2 17.1 17.6 18.9 18.2 18.9 16.5 13.2 11.4 8.9 8.0 12.4 12.7 17.0 11.8 10.7 10.9 11.2 23.1 19991999 18.9 18.2 18.8 18.4 17.3 17.9 17.9 18.4 19.7 19.1 19.8 17.6 14.6 13.0 10.9 10.2 14.5 15.1 19.2 15.1 14.9 16.0 18.0 28.0 33.0 20002000 18.3 17.6 18.2 17.7 16.7 17.2 17.1 17.6 18.8 18.2 18.8 16.7 13.8 12.3 10.3 9.7 13.4 13.8 17.2 13.4 13.0 13.5 14.4 19.4 17.6 4.0 20012001 16.9 16.1 16.6 16.1 15.1 15.5 15.3 15.6 16.7 16.0 16.4 14.3 11.6 10.0 8.1 7.3 10.4 10.5 13.0 9.3 8.4 8.1 7.7 9.6 5.4 -6.2 -15.4 20022002 15.6 14.8 15.3 14.7 13.7 14.0 13.8 14.0 14.9 14.2 14.5 12.5 9.8 8.3 6.4 5.5 8.2 8.0 10.0 6.5 5.3 4.6 3.7 4.4 0.2 -8.8 -14.6 -13.8 20032003 17.1 16.4 16.9 16.4 15.5 15.9 15.8 16.1 17.0 16.5 16.9 15.0 12.6 11.3 9.7 9.1 11.9 12.1 14.4 11.5 11.0 11.1 11.2 13.2 11.3 6.4 7.2 20.7 69.2 20042004 17.5 16.9 17.4 16.9 16.0 16.5 16.4 16.7 17.6 17.1 17.5 15.8 13.5 12.4 10.9 10.4 13.2 13.4 15.6 13.1 12.8 13.1 13.5 15.5 14.3 10.9 12.6 23.9 48.6 30.6 20052005 17.5 16.8 17.3 16.9 16.0 16.4 16.3 16.6 17.5 17.0 17.4 15.8 13.6 12.5 11.2 10.7 13.3 13.6 15.6 13.3 13.0 13.3 13.7 15.5 14.4 11.6 13.1 21.7 36.5 22.6 15.1 20062006 17.9 17.3 17.8 17.4 16.6 17.0 16.9 17.2 18.1 17.7 18.1 16.5 14.5 13.5 12.3 11.9 14.5 14.8 16.8 14.7 14.6 15.0 15.5 17.3 16.6 14.4 16.2 23.8 35.6 26.0 23.7 33.0 20072007 17.6 16.9 17.4 17.0 16.2 16.6 16.5 16.8 17.6 17.2 17.5 16.1 14.1 13.1 11.9 11.6 14.0 14.2 16.0 14.1 13.9 14.2 14.6 16.1 15.4 13.3 14.7 20.7 29.2 20.7 17.6 18.9 6.3 20082008 14.9 14.3 14.6 14.2 13.3 13.6 13.4 13.6 14.2 13.7 13.9 12.3 10.4 9.3 8.0 7.5 9.4 9.4 10.7 8.7 8.1 8.0 7.8 8.5 7.1 4.6 4.6 7.9 12.0 3.1 -2.8 -8.1 -23.6 -45.1 20092009 15.8 15.2 15.6 15.1 14.3 14.6 14.5 14.7 15.3 14.8 15.1 13.7 11.8 10.9 9.7 9.3 11.2 11.3 12.7 10.8 10.5 10.5 10.5 11.4 10.4 8.3 8.8 12.3 16.6 9.6 5.8 3.6 -4.6 -9.7 48.6 20102010 15.7 15.1 15.5 15.1 14.3 14.6 14.4 14.6 15.3 14.8 15.0 13.6 11.9 11.0 9.8 9.5 11.3 11.4 12.7 10.9 10.6 10.6 10.7 11.5 10.6 8.8 9.2 12.4 16.2 10.1 7.0 5.5 -0.4 -2.6 29.7 13.3 20112011 14.7 14.1 14.4 14.0 13.2 13.4 13.3 13.4 14.0 13.5 13.6 12.3 10.5 9.6 8.5 8.1 9.8 9.7 10.9 9.2 8.8 8.7 8.6 9.2 8.2 6.3 6.5 9.0 11.9 6.3 3.2 1.3 -4.0 -6.4 11.8 -3.1 -17.1 20122012 14.9 14.3 14.6 14.2 13.4 13.7 13.5 13.6 14.2 13.7 13.9 12.6 10.9 10.1 9.0 8.6 10.3 10.3 11.4 9.8 9.4 9.4 9.3 9.9 9.1 7.4 7.7 10.1 12.8 7.8 5.3 4.0 -0.2 -1.5 14.1 4.4 0.3 21.2

1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

FAmA/FRENCH INTERNATIONAL VALUE INDEX

1975–2012: Total Returns (%) in US Dollars

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

1975

$193

1926 2012

DImENSIONAL INTERNATIONAL SmALL CAP GROWTH INDEX

1992–2012: Total Returns (%) In US Dollars1992

1992 -17.7 19931993 1.5 25.2 19941994 4.5 17.7 10.7 19951995 3.8 12.1 6.0 1.6 19961996 4.0 10.2 5.7 3.2 4.9 19971997 1.0 5.2 0.8 -2.4 -4.3 -12.6 19981998 2.5 6.3 2.8 1.0 0.7 -1.3 11.6 19991999 6.5 10.4 8.2 7.7 9.2 10.7 24.6 39.2 20002000 4.3 7.4 5.1 4.2 4.7 4.7 11.2 10.9 -11.6 20012001 1.2 3.5 1.1 -0.2 -0.5 -1.6 1.4 -1.7 -17.5 -22.9 20022002 0.4 2.4 0.1 -1.1 -1.5 -2.5 -0.3 -3.1 -14.2 -15.4 -7.1 20032003 4.3 6.5 4.8 4.2 4.5 4.4 7.6 6.8 0.0 4.2 21.1 57.9 20042004 6.2 8.5 7.1 6.7 7.3 7.6 10.8 10.7 5.7 10.6 24.7 44.5 32.3 20052005 7.4 9.7 8.5 8.3 8.9 9.4 12.5 12.7 8.7 13.3 24.8 37.7 28.7 25.1 20062006 8.5 10.7 9.7 9.6 10.3 10.9 13.9 14.1 10.9 15.2 24.9 34.5 27.5 25.1 25.1 20072007 8.4 10.4 9.4 9.3 10.0 10.5 13.1 13.3 10.4 14.0 21.6 28.4 21.9 18.6 15.5 6.6 20082008 3.8 5.3 4.1 3.7 3.8 3.7 5.4 4.8 1.5 3.3 7.7 10.4 2.8 -3.5 -11.5 -25.6 -48.1 20092009 5.8 7.4 6.4 6.1 6.4 6.5 8.3 8.0 5.3 7.4 11.9 15.0 9.0 4.9 0.4 -6.7 -12.8 46.6 20102010 6.8 8.4 7.4 7.2 7.6 7.8 9.6 9.4 7.0 9.1 13.4 16.3 11.3 8.1 5.0 0.5 -1.4 35.9 25.9 20112011 5.7 7.1 6.1 5.9 6.1 6.2 7.7 7.4 5.1 6.8 10.3 12.5 7.8 4.7 1.6 -2.5 -4.7 16.7 4.2 -13.8 20122012 6.3 7.7 6.8 6.6 6.9 7.0 8.5 8.3 6.2 7.8 11.2 13.2 9.1 6.5 4.1 0.9 -0.2 17.6 9.2 1.7 20.1

1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

19921926 2012

$3.61

index data compiled by Dimensional incorporating new research on direct profitability.

DImENSIONAL INTERNATIONAL ADjUSTED mARKET INDEX

1994–2012: Total Returns (%) in US Dollars

index data compiled by Dimensional.

19941994 12.0 19951995 8.7 5.6 19961996 7.8 5.8 5.9 19971997 4.1 1.6 -0.3 -6.2 19981998 6.2 4.7 4.5 3.8 14.7 19991999 9.4 8.9 9.8 11.1 20.9 27.5 20002000 6.8 5.9 6.0 6.0 10.4 8.3 -8.0 20012001 3.6 2.4 1.9 1.1 3.0 -0.6 -12.2 -16.3 20022002 2.2 1.0 0.4 -0.5 0.6 -2.6 -11.0 -12.4 -8.4 20032003 6.4 5.7 5.8 5.7 7.9 6.5 1.9 5.4 18.3 52.6 20042004 8.1 7.7 8.0 8.2 10.5 9.8 6.5 10.5 21.2 39.5 27.4 20052005 9.0 8.7 9.1 9.4 11.5 11.1 8.6 12.2 20.8 32.4 23.3 19.3 20062006 10.3 10.2 10.6 11.1 13.2 13.0 11.1 14.7 22.1 31.2 24.8 23.5 27.7 20072007 10.3 10.2 10.6 11.0 12.9 12.7 11.0 14.0 20.0 26.7 20.9 18.8 18.5 10.0 20082008 5.3 4.9 4.8 4.7 5.8 4.9 2.7 4.1 7.4 10.3 3.4 -1.9 -8.1 -22.1 -44.8 20092009 7.2 6.9 7.0 7.1 8.3 7.7 6.0 7.6 11.1 14.2 8.8 5.4 2.1 -5.2 -12.0 40.4 20102010 7.7 7.4 7.5 7.7 8.8 8.3 6.7 8.3 11.5 14.2 9.6 6.9 4.6 -0.5 -3.8 26.9 14.8 20112011 6.3 6.0 6.0 6.0 6.9 6.3 4.8 6.0 8.5 10.6 6.2 3.5 1.1 -3.5 -6.7 11.2 -1.0 -14.7 20122012 6.9 6.6 6.7 6.7 7.6 7.1 5.7 6.9 9.3 11.3 7.4 5.2 3.3 -0.3 -2.2 12.8 4.9 0.2 17.8

1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

1994

$3.53

1926 2012

DImENSIONAL INTERNATIONAL VECTOR INDEX

1994–2012: Total Returns (%) in US Dollars

19941994 11.8 19951995 8.3 4.8 19961996 7.3 5.2 5.5 19971997 2.9 0.1 -2.1 -9.2 19981998 4.8 3.1 2.5 1.1 12.4 19991999 7.9 7.2 7.8 8.5 18.7 25.2 20002000 5.9 4.9 4.9 4.8 9.9 8.6 -5.8 20012001 3.1 1.9 1.4 0.6 3.2 0.3 -10.2 -14.4 20022002 2.1 0.9 0.4 -0.4 1.4 -1.2 -8.7 -10.0 -5.5 20032003 6.6 6.1 6.2 6.3 9.2 8.5 4.7 8.4 22.1 57.6 20042004 8.6 8.2 8.6 9.0 11.9 11.8 9.3 13.5 24.6 43.1 29.9 20052005 9.5 9.3 9.8 10.3 13.0 13.0 11.1 14.9 23.6 35.2 25.2 20.6 20062006 10.9 10.8 11.3 11.9 14.6 14.8 13.4 17.0 24.6 33.4 26.2 24.4 28.4 20072007 10.7 10.6 11.1 11.6 13.9 14.1 12.8 15.7 21.7 28.0 21.5 18.9 18.0 8.5 20082008 5.6 5.2 5.2 5.2 6.6 6.0 4.0 5.4 8.5 11.0 3.5 -2.2 -8.8 -23.1 -45.5 20092009 7.6 7.4 7.5 7.7 9.2 8.9 7.4 9.0 12.4 15.2 9.3 5.6 2.2 -5.3 -11.6 43.4 20102010 8.2 7.9 8.2 8.4 9.8 9.6 8.3 9.8 12.9 15.4 10.4 7.5 5.0 -0.1 -2.8 29.7 17.3 20112011 6.7 6.4 6.5 6.6 7.8 7.4 6.1 7.2 9.7 11.5 6.8 3.8 1.2 -3.5 -6.2 12.3 -0.6 -15.7 20122012 7.3 7.0 7.1 7.2 8.4 8.2 6.9 8.1 10.4 12.1 8.0 5.5 3.5 -0.2 -1.8 13.8 5.3 -0.2 18.1

1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

1994

$3.78

1926 2012

index data compiled by Dimensional.

Page 19: Dfa matrix book us_2013 - copy

DIMENSIONAL FUND ADVISORS MATRIX BOOK 201334 35

mSCI EmERGING mARKETS INDEX1988–2012: Total Returns (%) in US Dollars

Data copyright mSci 2013, all rights reserved.

19881988 40.4 19891989 52.2 65.0 19901990 27.5 21.5 -10.6 19911991 34.9 33.1 19.6 59.9 19921992 29.8 27.3 16.8 33.5 11.4 19931993 36.4 35.7 29.2 46.0 39.6 74.8 19941994 29.1 27.3 20.9 30.3 21.8 27.3 -7.3 19951995 24.2 22.1 16.1 22.3 14.4 15.4 -6.3 -5.2 19961996 22.1 19.9 14.6 19.4 12.7 13.0 -2.3 0.3 6.0 19971997 18.2 15.9 10.9 14.4 8.2 7.6 -4.7 -3.9 -3.2 -11.6 19981998 13.4 10.9 6.2 8.5 2.6 1.2 -9.3 -9.7 -11.2 -18.8 -25.3 19991999 17.0 15.1 11.0 13.7 9.0 8.7 0.4 2.0 3.9 3.2 11.5 66.4 20002000 12.4 10.4 6.4 8.3 3.7 2.7 -4.8 -4.3 -4.2 -6.6 -4.8 7.5 -30.6 20012001 11.3 9.3 5.6 7.2 3.0 2.2 -4.5 -4.1 -3.9 -5.7 -4.2 4.1 -17.7 -2.4 20022002 10.0 8.1 4.7 6.1 2.2 1.3 -4.6 -4.3 -4.2 -5.8 -4.6 1.5 -14.0 -4.2 -6.0 20032003 12.5 10.8 7.7 9.3 5.9 5.4 0.2 1.1 1.9 1.3 3.6 10.6 -0.1 12.8 21.2 56.3 20042004 13.2 11.7 8.9 10.4 7.3 7.0 2.3 3.3 4.3 4.1 6.5 13.0 4.6 15.9 22.8 40.3 26.0 20052005 14.3 13.0 10.3 11.9 9.0 8.9 4.7 5.8 7.0 7.1 9.7 15.9 9.1 19.4 25.6 38.4 30.2 34.5 20062006 15.2 14.0 11.5 13.1 10.5 10.4 6.6 7.8 9.1 9.4 12.0 17.8 12.2 21.5 27.0 36.9 31.0 33.6 32.6 20072007 16.3 15.2 12.9 14.5 12.1 12.2 8.7 10.0 11.4 11.9 14.5 20.1 15.3 24.0 29.0 37.5 33.1 35.6 36.1 39.8 20082008 11.4 10.1 7.8 8.9 6.5 6.2 2.7 3.5 4.2 4.0 5.6 9.3 4.3 9.8 11.6 14.9 8.0 3.9 -4.6 -19.1 -53.2 20092009 13.8 12.7 10.6 11.8 9.6 9.5 6.4 7.3 8.3 8.5 10.3 14.3 10.1 15.9 18.4 22.4 17.5 15.9 11.6 5.4 -8.4 79.0 20102010 14.1 13.0 11.0 12.2 10.1 10.0 7.1 8.0 9.0 9.2 11.0 14.7 10.9 16.2 18.5 22.0 17.7 16.4 13.1 8.7 0.0 46.1 19.2 20112011 12.5 11.4 9.4 10.5 8.5 8.3 5.5 6.3 7.1 7.1 8.6 11.8 8.1 12.6 14.2 16.7 12.5 10.7 7.2 2.7 -4.9 20.4 -1.2 -18.2 20122012 12.7 11.7 9.8 10.9 8.9 8.8 6.1 6.9 7.7 7.8 9.2 12.3 8.9 13.1 14.6 16.9 13.2 11.7 8.7 5.2 -0.6 20.0 5.0 -1.5 18.6

1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

1988

$20

1926 2012

DImENSIONAL EmERGING mARKETS ADjUSTED mARKET INDEX

1994–2012: Total Returns (%) in US Dollars

index data compiled by Dimensional.

19941994 -0.6 19951995 -6.5 -12.0 19961996 -1.6 -2.0 9.1 19971997 -7.2 -9.3 -7.8 -22.1 19981998 -10.2 -12.5 -12.6 -21.8 -21.4 19991999 -1.0 -1.0 1.9 -0.4 12.7 61.6 20002000 -6.0 -6.8 -5.8 -9.2 -4.4 5.5 -31.2 20012001 -5.0 -5.6 -4.5 -7.0 -2.8 4.4 -16.1 2.2 20022002 -4.8 -5.3 -4.3 -6.3 -2.8 2.5 -11.9 -0.4 -2.9 20032003 0.7 0.8 2.5 1.6 6.2 12.8 3.1 18.0 26.8 65.6 20042004 3.2 3.6 5.5 5.1 9.7 15.9 8.5 21.6 28.8 48.3 32.8 20052005 5.2 5.7 7.7 7.5 11.9 17.7 11.7 23.0 28.8 41.6 30.9 29.0 20062006 7.3 7.9 10.0 10.1 14.4 19.9 14.9 25.1 30.2 40.2 32.6 32.5 36.1 20072007 9.7 10.5 12.7 13.0 17.3 22.6 18.5 28.0 32.9 41.5 36.1 37.1 41.4 47.0 20082008 3.6 4.0 5.3 5.0 7.9 11.4 6.8 12.9 14.5 17.7 9.9 4.8 -2.2 -17.1 -53.2 20092009 7.7 8.3 9.9 10.0 13.2 17.0 13.3 19.7 22.1 26.1 20.5 18.2 15.7 9.6 -5.4 91.4 20102010 8.7 9.3 10.9 11.0 14.1 17.7 14.3 20.3 22.5 26.1 21.2 19.4 17.6 13.4 4.0 55.0 25.6 20112011 6.8 7.2 8.6 8.5 11.1 14.1 10.9 15.8 17.2 19.7 15.0 12.6 10.1 5.5 -2.9 23.9 -0.3 -20.8 20122012 7.5 8.0 9.3 9.3 11.8 14.6 11.6 16.2 17.6 19.9 15.6 13.6 11.6 8.0 1.5 23.2 6.4 -2.0 21.2

1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

1994

$3.95

1926 2012

DImENSIONAL EmERGING mARKETS GROWTH INDEX

1996–2012: Total Returns (%) in US Dollars 19961996 1.3 19971997 -12.9 -25.0 19981998 -17.0 -24.9 -24.8 19991999 0.7 0.4 16.3 79.7 20002000 -6.3 -8.1 -1.6 12.6 -29.5 20012001 -5.2 -6.5 -1.2 8.2 -16.0 0.0 20022002 -7.3 -8.6 -4.9 0.8 -16.9 -9.8 -18.5 20032003 -1.4 -1.8 2.7 9.3 -3.5 7.1 10.9 51.0 20042004 1.1 1.1 5.5 11.6 1.4 11.1 15.0 36.7 23.8 20052005 3.5 3.8 8.1 13.8 5.5 14.3 18.2 33.8 26.0 28.2 20062006 5.7 6.1 10.3 15.7 8.7 16.8 20.5 32.9 27.3 29.2 30.1 20072007 8.2 8.8 13.0 18.2 12.1 19.8 23.5 34.2 30.3 32.6 34.8 39.7 20082008 1.3 1.3 4.1 7.5 1.5 6.3 7.2 12.2 5.8 1.7 -5.9 -19.9 -54.1 20092009 5.4 5.7 8.8 12.5 7.3 12.4 14.1 19.7 15.2 13.6 10.2 4.2 -10.0 76.6 20102010 6.8 7.2 10.2 13.8 9.2 14.0 15.7 20.9 17.1 16.0 13.8 10.0 1.6 51.1 29.3 20112011 5.1 5.4 8.0 11.1 6.7 10.8 11.9 15.9 12.2 10.6 7.9 4.0 -3.4 23.8 3.6 -17.0 20122012 6.0 6.3 8.8 11.7 7.6 11.5 12.6 16.3 13.0 11.7 9.5 6.4 0.8 22.7 8.7 -0.3 19.7

1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

19961926 2012

$2.67

index data compiled by Dimensional incorporating new research on direct profitability.

DImENSIONAL INTERNATIONAL SmALL CAP INDEX

1970–2012: Total Returns (%) in US Dollars

19701970 0.9 19711971 30.3 68.3 19721972 40.7 66.2 64.2 19731973 24.5 33.6 19.1 -13.7 19741974 11.4 14.2 0.4 -21.5 -28.6 19751975 17.1 20.6 11.0 -2.6 3.4 49.9 19761976 16.3 19.0 11.1 0.7 6.0 29.2 11.5 19771977 22.3 25.7 19.7 12.4 20.0 42.7 39.3 74.1 19781978 26.5 30.1 25.4 19.9 28.0 48.1 47.5 69.8 65.5 19791979 23.4 26.2 21.8 16.7 22.7 36.7 33.6 41.9 28.2 -0.8 19801980 24.5 27.1 23.2 18.9 24.4 36.5 34.0 40.3 30.5 15.9 35.5 19811981 22.2 24.4 20.7 16.6 21.1 30.6 27.6 31.1 22.2 10.4 16.4 0.1 19821982 20.4 22.1 18.6 14.8 18.5 26.3 23.3 25.3 17.4 7.7 10.7 0.1 0.0 19831983 21.4 23.2 20.0 16.6 20.2 27.4 24.8 26.8 20.3 12.9 16.6 10.9 16.7 36.1 19841984 20.7 22.3 19.3 16.2 19.4 25.7 23.3 24.8 19.0 12.7 15.6 11.1 15.0 23.3 11.6 19851985 23.2 24.9 22.3 19.5 22.8 29.0 27.1 29.0 24.2 19.2 22.9 20.6 26.3 36.5 36.7 67.5 19861986 25.1 26.8 24.5 22.0 25.3 31.3 29.8 31.7 27.7 23.7 27.6 26.3 32.4 42.0 43.9 63.5 59.5 19871987 25.9 27.6 25.4 23.2 26.3 32.0 30.6 32.5 29.0 25.4 29.2 28.3 33.7 41.7 43.1 55.5 49.8 40.7 19881988 25.9 27.5 25.4 23.3 26.3 31.6 30.3 32.0 28.7 25.5 28.8 28.0 32.6 38.9 39.5 47.5 41.4 33.1 25.9 19891989 26.2 27.7 25.7 23.8 26.6 31.5 30.3 31.9 28.9 26.0 29.0 28.3 32.3 37.7 38.0 44.0 38.7 32.3 28.3 30.8 19901990 23.6 24.9 22.9 21.0 23.4 27.7 26.3 27.5 24.5 21.5 23.8 22.7 25.5 29.1 28.1 31.1 24.8 17.4 10.6 3.6 -17.9 19911991 22.8 23.9 22.0 20.1 22.4 26.3 25.0 25.9 23.0 20.3 22.2 21.1 23.4 26.3 25.1 27.2 21.5 15.0 9.4 4.3 -6.8 5.8 19921992 20.4 21.4 19.6 17.7 19.6 23.1 21.7 22.3 19.5 16.7 18.2 16.9 18.5 20.6 18.9 19.9 14.3 8.1 2.6 -2.5 -11.6 -8.3 -20.6 19931993 21.0 22.0 20.2 18.4 20.3 23.7 22.3 23.0 20.4 17.8 19.3 18.1 19.8 21.8 20.4 21.4 16.6 11.5 7.3 3.9 -1.9 4.1 3.3 34.4 19941994 20.7 21.7 19.9 18.2 20.0 23.2 21.9 22.5 20.0 17.6 19.0 17.9 19.4 21.2 19.9 20.7 16.4 11.9 8.3 5.7 1.2 6.7 7.0 24.2 14.8 19951995 19.9 20.7 19.1 17.4 19.1 22.0 20.8 21.3 18.9 16.6 17.8 16.7 18.0 19.5 18.2 18.8 14.8 10.7 7.4 5.0 1.2 5.5 5.5 15.9 7.7 1.0 19961996 19.2 20.0 18.4 16.8 18.3 21.1 19.9 20.3 18.0 15.8 16.8 15.8 16.9 18.2 16.9 17.4 13.6 9.9 6.9 4.7 1.4 5.1 4.9 12.5 6.0 1.9 2.8 19971997 17.8 18.5 16.9 15.3 16.7 19.3 18.0 18.4 16.1 13.9 14.8 13.7 14.6 15.7 14.3 14.5 11.0 7.4 4.5 2.4 -0.7 2.0 1.4 6.5 0.5 -3.9 -6.3 -14.5 19981998 17.6 18.2 16.7 15.1 16.5 18.9 17.7 18.0 15.8 13.8 14.6 13.5 14.4 15.3 14.1 14.2 10.9 7.6 5.0 3.1 0.4 3.0 2.6 7.1 2.3 -0.6 -1.1 -2.9 10.2 19991999 18.0 18.6 17.1 15.7 17.0 19.3 18.2 18.5 16.4 14.5 15.3 14.3 15.2 16.1 15.0 15.2 12.2 9.2 6.9 5.3 3.1 5.7 5.7 10.1 6.5 4.9 6.0 7.0 19.8 30.2 20002000 16.8 17.4 16.0 14.5 15.7 17.9 16.8 17.0 15.0 13.1 13.8 12.8 13.5 14.4 13.2 13.3 10.4 7.5 5.3 3.7 1.6 3.8 3.5 7.0 3.6 1.9 2.0 1.8 8.0 6.9 -12.3 20012001 15.6 16.1 14.7 13.3 14.4 16.4 15.3 15.4 13.5 11.6 12.2 11.2 11.8 12.5 11.3 11.3 8.4 5.7 3.5 2.0 -0.1 1.7 1.3 4.1 0.8 -1.0 -1.4 -2.2 1.2 -1.7 -14.5 -16.7 20022002 15.0 15.5 14.1 12.7 13.7 15.6 14.5 14.7 12.8 11.0 11.5 10.5 11.1 11.6 10.5 10.4 7.7 5.1 3.1 1.6 -0.3 1.3 0.9 3.4 0.4 -1.3 -1.6 -2.3 0.4 -2.0 -10.8 -10.1 -2.9 20032003 16.1 16.6 15.3 14.0 15.0 17.0 15.9 16.1 14.3 12.6 13.2 12.3 12.9 13.6 12.6 12.6 10.1 7.8 6.0 4.8 3.1 5.0 4.9 7.6 5.2 4.2 4.6 4.9 8.5 8.2 3.3 9.0 24.8 60.2 20042004 16.6 17.0 15.8 14.5 15.6 17.4 16.4 16.6 14.9 13.3 13.9 13.1 13.7 14.4 13.4 13.5 11.2 9.0 7.4 6.3 4.8 6.7 6.8 9.4 7.4 6.7 7.4 7.9 11.6 11.8 8.5 14.4 27.2 45.5 32.1 20052005 16.7 17.2 16.0 14.7 15.8 17.6 16.6 16.8 15.2 13.6 14.2 13.5 14.1 14.7 13.8 13.9 11.7 9.7 8.2 7.2 5.9 7.7 7.8 10.4 8.6 8.1 8.8 9.5 12.9 13.3 10.7 16.0 26.0 37.4 27.3 22.6 20062006 17.0 17.4 16.2 15.1 16.1 17.9 16.9 17.1 15.5 14.1 14.7 13.9 14.5 15.2 14.3 14.5 12.4 10.5 9.1 8.2 7.0 8.8 9.0 11.5 9.9 9.5 10.3 11.1 14.3 14.9 12.8 17.7 26.1 34.6 27.0 24.5 26.3 20072007 16.7 17.2 16.0 14.9 15.8 17.5 16.7 16.8 15.3 13.9 14.4 13.7 14.3 14.9 14.1 14.2 12.2 10.3 9.0 8.2 7.0 8.7 8.9 11.2 9.7 9.4 10.1 10.8 13.7 14.1 12.2 16.2 22.9 28.8 21.9 18.7 16.8 8.0 20082008 14.4 14.8 13.6 12.4 13.3 14.8 13.9 14.0 12.4 11.0 11.4 10.6 11.1 11.5 10.6 10.6 8.6 6.7 5.3 4.4 3.1 4.5 4.4 6.2 4.5 3.8 4.1 4.2 6.0 5.6 3.2 5.3 8.9 11.0 3.2 -3.0 -10.3 -24.4 -47.1 20092009 15.1 15.4 14.3 13.2 14.0 15.6 14.7 14.8 13.3 11.9 12.4 11.7 12.1 12.6 11.8 11.8 9.9 8.1 6.8 6.0 4.9 6.3 6.3 8.1 6.7 6.2 6.5 6.8 8.8 8.7 6.8 9.1 12.9 15.3 9.2 5.1 1.1 -6.1 -12.5 44.8 20102010 15.2 15.6 14.5 13.4 14.2 15.7 14.9 15.0 13.5 12.2 12.7 12.0 12.4 12.9 12.1 12.1 10.3 8.6 7.4 6.6 5.6 7.0 7.0 8.8 7.5 7.0 7.4 7.8 9.7 9.7 8.0 10.2 13.7 16.0 10.8 7.6 4.8 0.0 -2.6 32.2 20.7 20112011 14.3 14.7 13.6 12.5 13.3 14.7 13.9 14.0 12.6 11.2 11.6 10.9 11.3 11.7 11.0 10.9 9.2 7.5 6.3 5.6 4.5 5.8 5.8 7.4 6.0 5.5 5.8 6.0 7.7 7.5 5.8 7.6 10.4 12.0 7.1 3.9 1.1 -3.4 -6.0 13.9 0.9 -15.6 20122012 14.4 14.7 13.7 12.6 13.4 14.8 14.0 14.0 12.7 11.4 11.8 11.1 11.5 11.9 11.2 11.1 9.5 7.9 6.7 6.0 5.0 6.2 6.3 7.8 6.6 6.1 6.4 6.7 8.3 8.1 6.6 8.3 11.0 12.4 8.1 5.4 3.2 -0.3 -1.8 14.6 6.0 -0.7 16.8

1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

19821982 -2.4 19831983 15.7 37.0 19841984 14.3 23.7 11.7 19851985 26.9 38.5 39.3 73.7 19861986 32.4 42.9 44.9 65.0 56.8 19871987 35.8 45.0 47.1 61.2 55.3 53.9 19881988 35.6 43.2 44.5 54.1 48.1 43.9 34.6 19891989 35.9 42.5 43.4 50.8 45.5 41.9 36.3 38.1 19901990 28.7 33.2 32.6 36.5 30.0 24.1 15.5 7.0 -17.1 19911991 26.1 29.7 28.8 31.5 25.5 20.1 12.9 6.4 -6.6 5.2 19921992 20.8 23.4 22.0 23.3 17.4 11.9 5.0 -1.3 -11.8 -9.0 -21.4 19931993 22.7 25.3 24.1 25.6 20.6 16.2 10.9 6.7 0.0 6.4 7.0 45.6 19941994 21.6 23.8 22.7 23.9 19.3 15.3 10.6 7.1 1.8 7.1 7.7 26.1 9.2 19951995 20.2 22.2 21.0 21.9 17.7 14.0 9.8 6.6 2.1 6.5 6.8 18.2 6.5 4.0 19961996 19.0 20.7 19.6 20.3 16.3 12.9 9.1 6.2 2.3 6.0 6.1 14.4 5.5 3.7 3.5 19971997 16.6 17.9 16.7 17.1 13.3 10.0 6.4 3.6 0.0 2.7 2.2 7.8 -0.1 -3.0 -6.3 -15.1 19981998 16.1 17.4 16.2 16.5 13.0 10.0 6.7 4.2 1.0 3.5 3.3 8.1 1.8 0.0 -1.2 -3.5 9.7 19991999 16.4 17.6 16.5 16.9 13.6 10.8 7.8 5.7 2.9 5.4 5.4 9.9 4.9 4.0 4.0 4.2 15.5 21.5 20002000 15.4 16.5 15.3 15.6 12.5 9.8 7.0 5.0 2.4 4.6 4.5 8.3 3.8 3.0 2.8 2.6 9.3 9.1 -2.0 20012001 14.2 15.1 14.0 14.1 11.2 8.7 6.0 4.1 1.7 3.6 3.4 6.6 2.5 1.6 1.2 0.7 5.1 3.6 -4.3 -6.5 20022002 13.7 14.5 13.4 13.5 10.7 8.4 5.9 4.1 1.8 3.6 3.4 6.3 2.6 1.9 1.6 1.2 4.9 3.7 -1.7 -1.5 3.8 20032003 15.7 16.6 15.7 15.9 13.3 11.1 8.9 7.4 5.5 7.4 7.6 10.7 7.7 7.6 8.0 8.7 13.3 14.0 12.2 17.4 31.6 66.8 20042004 16.4 17.4 16.5 16.8 14.3 12.4 10.3 8.9 7.2 9.2 9.5 12.6 10.0 10.1 10.8 11.7 16.2 17.3 16.5 21.6 32.8 50.1 35.1 20052005 16.8 17.7 16.9 17.1 14.8 13.0 11.0 9.8 8.2 10.2 10.5 13.4 11.1 11.3 12.0 13.0 17.2 18.3 17.7 22.1 30.5 40.9 29.5 24.1 20062006 17.2 18.1 17.3 17.6 15.4 13.6 11.8 10.7 9.3 11.2 11.6 14.4 12.3 12.6 13.4 14.4 18.3 19.4 19.1 23.0 29.9 37.4 28.9 25.8 27.5 20072007 16.7 17.6 16.8 17.0 15.0 13.3 11.6 10.5 9.1 10.9 11.2 13.8 11.8 12.1 12.8 13.6 17.0 17.8 17.4 20.5 25.7 30.5 22.8 18.9 16.4 6.2 20082008 13.7 14.4 13.5 13.6 11.5 9.8 8.1 6.9 5.5 6.9 7.0 9.1 7.0 6.8 7.1 7.4 9.7 9.7 8.4 9.8 12.4 13.9 5.5 -0.8 -8.0 -21.9 -42.5 20092009 14.8 15.5 14.7 14.8 12.9 11.3 9.6 8.6 7.3 8.7 8.9 11.0 9.2 9.2 9.6 10.0 12.4 12.7 11.8 13.5 16.3 18.2 11.6 7.4 3.6 -3.4 -7.8 47.8 20102010 14.9 15.6 14.9 15.0 13.1 11.6 10.0 9.0 7.8 9.2 9.4 11.5 9.7 9.8 10.2 10.7 12.9 13.2 12.5 14.1 16.6 18.3 12.6 9.3 6.5 1.8 0.4 32.7 19.2 20112011 13.8 14.4 13.6 13.7 11.9 10.4 8.8 7.9 6.6 7.9 8.1 9.9 8.2 8.1 8.4 8.7 10.7 10.7 9.9 11.0 13.0 14.0 8.7 5.4 2.6 -1.8 -3.7 14.4 0.6 -15.1 20122012 13.9 14.5 13.8 13.9 12.1 10.7 9.2 8.3 7.1 8.4 8.5 10.3 8.7 8.7 9.0 9.3 11.2 11.3 10.5 11.6 13.4 14.5 9.8 7.0 4.7 1.3 0.4 15.4 6.2 0.3 18.4

1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

index data compiled by Dimensional.

DImENSIONAL INTERNATIONAL SmALL CAP VALUE INDEX

1982–2012: Total Returns (%) in US Dollars

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

1982

$57

1926 2012

index data compiled by Dimensional.prior to 1981, data provided by nomura Securities

and london School of business.

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

1970

$325

1926 2012

Page 20: Dfa matrix book us_2013 - copy

DIMENSIONAL FUND ADVISORS MATRIX BOOK 201336 37

ONE-mONTH US TREASURy BILLS

1926–2012: Total Returns (%)

Data provided by ibbotson associates.

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

20121926

$21

19261926 3.3 19271927 3.2 3.1 19281928 3.2 3.2 3.2 19291929 3.6 3.7 4.0 4.7 19301930 3.4 3.4 3.5 3.6 2.4 19311931 3.0 2.9 2.9 2.7 1.8 1.1 19321932 2.7 2.6 2.5 2.3 1.5 1.0 1.0 19331933 2.4 2.3 2.1 1.9 1.2 0.8 0.6 0.3 19341934 2.1 2.0 1.8 1.6 1.0 0.6 0.5 0.2 0.2 19351935 1.9 1.8 1.6 1.4 0.8 0.5 0.4 0.2 0.2 0.1 19361936 1.8 1.6 1.5 1.2 0.8 0.5 0.4 0.2 0.2 0.2 0.2 19371937 1.6 1.5 1.3 1.1 0.7 0.4 0.3 0.2 0.2 0.2 0.2 0.3 19381938 1.5 1.4 1.2 1.0 0.6 0.4 0.3 0.2 0.2 0.1 0.1 0.1 0.0 19391939 1.4 1.3 1.1 0.9 0.6 0.3 0.3 0.2 0.1 0.1 0.1 0.1 0.0 0.0 19401940 1.3 1.2 1.0 0.8 0.5 0.3 0.2 0.1 0.1 0.1 0.1 0.1 0.0 0.0 0.0 19411941 1.2 1.1 1.0 0.8 0.5 0.3 0.2 0.1 0.1 0.1 0.1 0.1 0.0 0.0 0.0 0.0 19421942 1.2 1.0 0.9 0.7 0.4 0.3 0.2 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.2 0.3 19431943 1.1 1.0 0.9 0.7 0.4 0.3 0.2 0.2 0.1 0.1 0.1 0.1 0.1 0.1 0.2 0.2 0.3 0.4 19441944 1.1 1.0 0.8 0.7 0.4 0.3 0.2 0.2 0.2 0.2 0.2 0.2 0.1 0.2 0.2 0.3 0.3 0.3 0.3 19451945 1.1 0.9 0.8 0.7 0.4 0.3 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.3 0.3 0.3 0.3 0.3 19461946 1.0 0.9 0.8 0.7 0.4 0.3 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.3 0.3 0.3 0.3 0.3 0.4 19471947 1.0 0.9 0.8 0.6 0.4 0.3 0.3 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.3 0.3 0.4 0.4 0.4 0.4 0.4 0.5 19481948 1.0 0.9 0.8 0.7 0.4 0.3 0.3 0.3 0.2 0.3 0.3 0.3 0.3 0.3 0.3 0.4 0.4 0.4 0.5 0.5 0.6 0.7 0.8 19491949 1.0 0.9 0.8 0.7 0.5 0.4 0.3 0.3 0.3 0.3 0.3 0.3 0.3 0.4 0.4 0.5 0.5 0.5 0.6 0.6 0.7 0.8 1.0 1.1 19501950 1.0 0.9 0.8 0.7 0.5 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.4 0.5 0.5 0.6 0.6 0.7 0.7 0.8 0.9 1.0 1.2 1.2 19511951 1.0 0.9 0.8 0.7 0.6 0.5 0.4 0.4 0.4 0.4 0.5 0.5 0.5 0.5 0.6 0.6 0.7 0.7 0.8 0.8 0.9 1.0 1.2 1.3 1.4 1.5 19521952 1.0 1.0 0.9 0.8 0.6 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.6 0.6 0.6 0.7 0.8 0.8 0.9 0.9 1.0 1.1 1.3 1.4 1.5 1.6 1.7 19531953 1.1 1.0 0.9 0.8 0.7 0.6 0.6 0.5 0.6 0.6 0.6 0.6 0.6 0.7 0.7 0.8 0.9 0.9 1.0 1.0 1.1 1.2 1.4 1.5 1.5 1.7 1.7 1.8 19541954 1.1 1.0 0.9 0.8 0.7 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.7 0.7 0.7 0.8 0.9 0.9 1.0 1.0 1.1 1.2 1.3 1.4 1.4 1.5 1.4 1.3 0.9 19551955 1.1 1.0 0.9 0.8 0.7 0.6 0.6 0.6 0.6 0.6 0.7 0.7 0.7 0.7 0.8 0.8 0.9 1.0 1.0 1.1 1.1 1.2 1.3 1.4 1.4 1.5 1.5 1.4 1.2 1.6 19561956 1.1 1.1 1.0 0.9 0.8 0.7 0.7 0.7 0.7 0.7 0.7 0.8 0.8 0.8 0.9 0.9 1.0 1.1 1.1 1.2 1.3 1.4 1.4 1.5 1.6 1.6 1.7 1.7 1.6 2.0 2.5 19571957 1.2 1.1 1.1 1.0 0.8 0.8 0.8 0.8 0.8 0.8 0.9 0.9 0.9 1.0 1.0 1.1 1.1 1.2 1.3 1.3 1.4 1.5 1.6 1.7 1.8 1.9 1.9 2.0 2.0 2.4 2.8 3.2 19581958 1.2 1.1 1.1 1.0 0.9 0.8 0.8 0.8 0.8 0.8 0.9 0.9 0.9 1.0 1.0 1.1 1.2 1.2 1.3 1.3 1.4 1.5 1.6 1.7 1.8 1.8 1.9 1.9 1.9 2.2 2.4 2.3 1.5 19591959 1.2 1.2 1.1 1.1 0.9 0.9 0.9 0.9 0.9 0.9 1.0 1.0 1.0 1.1 1.1 1.2 1.3 1.3 1.4 1.5 1.5 1.6 1.7 1.8 1.9 1.9 2.0 2.1 2.1 2.3 2.5 2.5 2.2 3.0 19601960 1.3 1.2 1.2 1.1 1.0 0.9 0.9 0.9 1.0 1.0 1.0 1.1 1.1 1.2 1.2 1.3 1.3 1.4 1.5 1.5 1.6 1.7 1.8 1.9 1.9 2.0 2.1 2.1 2.2 2.4 2.6 2.6 2.4 2.8 2.7 19611961 1.3 1.3 1.2 1.1 1.0 1.0 1.0 1.0 1.0 1.0 1.1 1.1 1.1 1.2 1.3 1.3 1.4 1.4 1.5 1.6 1.6 1.7 1.8 1.9 2.0 2.0 2.1 2.1 2.2 2.4 2.5 2.5 2.3 2.6 2.4 2.1 19621962 1.4 1.3 1.2 1.2 1.1 1.0 1.0 1.0 1.1 1.1 1.1 1.2 1.2 1.3 1.3 1.4 1.4 1.5 1.6 1.6 1.7 1.8 1.9 2.0 2.0 2.1 2.1 2.2 2.2 2.4 2.5 2.5 2.4 2.6 2.5 2.4 2.7 19631963 1.4 1.3 1.3 1.2 1.1 1.1 1.1 1.1 1.1 1.2 1.2 1.2 1.3 1.3 1.4 1.5 1.5 1.6 1.6 1.7 1.8 1.9 2.0 2.0 2.1 2.2 2.2 2.3 2.3 2.5 2.6 2.6 2.5 2.7 2.7 2.7 2.9 3.1 19641964 1.5 1.4 1.4 1.3 1.2 1.2 1.2 1.2 1.2 1.2 1.3 1.3 1.4 1.4 1.5 1.5 1.6 1.7 1.7 1.8 1.9 2.0 2.0 2.1 2.2 2.3 2.3 2.4 2.4 2.6 2.7 2.7 2.7 2.9 2.8 2.9 3.1 3.3 3.5 19651965 1.5 1.5 1.4 1.4 1.3 1.3 1.3 1.3 1.3 1.3 1.4 1.4 1.5 1.5 1.6 1.6 1.7 1.8 1.8 1.9 2.0 2.1 2.1 2.2 2.3 2.4 2.4 2.5 2.5 2.7 2.8 2.9 2.8 3.0 3.0 3.1 3.3 3.5 3.7 3.9 19661966 1.6 1.5 1.5 1.5 1.4 1.3 1.4 1.4 1.4 1.4 1.5 1.5 1.6 1.6 1.7 1.7 1.8 1.9 1.9 2.0 2.1 2.2 2.3 2.4 2.4 2.5 2.6 2.7 2.7 2.9 3.0 3.0 3.0 3.2 3.3 3.4 3.6 3.8 4.1 4.3 4.8 19671967 1.7 1.6 1.6 1.5 1.4 1.4 1.4 1.4 1.5 1.5 1.6 1.6 1.7 1.7 1.8 1.8 1.9 2.0 2.0 2.1 2.2 2.3 2.4 2.5 2.5 2.6 2.7 2.8 2.8 3.0 3.1 3.1 3.1 3.3 3.4 3.5 3.7 3.9 4.1 4.3 4.5 4.21968 1.7 1.7 1.7 1.6 1.5 1.5 1.5 1.5 1.6 1.6 1.7 1.7 1.8 1.8 1.9 2.0 2.0 2.1 2.2 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.8 2.9 3.0 3.1 3.3 3.3 3.3 3.5 3.6 3.7 3.9 4.1 4.3 4.5 4.7 4.71969 1.8 1.8 1.8 1.7 1.7 1.6 1.7 1.7 1.7 1.8 1.8 1.9 1.9 2.0 2.0 2.1 2.2 2.3 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 3.0 3.1 3.2 3.4 3.5 3.6 3.6 3.8 3.9 4.0 4.2 4.5 4.7 4.9 5.2 5.31970 1.9 1.9 1.9 1.9 1.8 1.8 1.8 1.8 1.8 1.9 1.9 2.0 2.0 2.1 2.2 2.3 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 3.0 3.1 3.2 3.3 3.4 3.6 3.7 3.8 3.8 4.0 4.1 4.3 4.5 4.7 5.0 5.2 5.4 5.61971 2.0 2.0 1.9 1.9 1.8 1.8 1.8 1.9 1.9 2.0 2.0 2.1 2.1 2.2 2.3 2.3 2.4 2.5 2.6 2.6 2.7 2.8 2.9 3.0 3.1 3.2 3.3 3.4 3.4 3.6 3.7 3.8 3.9 4.0 4.1 4.3 4.5 4.7 4.9 5.1 5.3 5.41972 2.0 2.0 2.0 2.0 1.9 1.9 1.9 1.9 2.0 2.0 2.1 2.1 2.2 2.2 2.3 2.4 2.4 2.5 2.6 2.7 2.8 2.9 3.0 3.0 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 4.0 4.1 4.2 4.4 4.6 4.8 4.9 5.1 5.11973 2.1 2.1 2.1 2.1 2.0 2.0 2.0 2.0 2.1 2.1 2.2 2.2 2.3 2.4 2.4 2.5 2.6 2.7 2.7 2.8 2.9 3.0 3.1 3.2 3.3 3.4 3.5 3.6 3.6 3.8 3.9 4.0 4.0 4.2 4.3 4.4 4.6 4.8 5.0 5.1 5.3 5.41974 2.2 2.2 2.2 2.2 2.1 2.1 2.1 2.2 2.2 2.3 2.3 2.4 2.4 2.5 2.6 2.7 2.7 2.8 2.9 3.0 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.8 4.0 4.1 4.2 4.3 4.5 4.6 4.7 4.9 5.1 5.3 5.4 5.6 5.71975 2.3 2.3 2.3 2.3 2.2 2.2 2.2 2.3 2.3 2.4 2.4 2.5 2.5 2.6 2.7 2.8 2.8 2.9 3.0 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.7 3.8 3.9 4.1 4.2 4.3 4.4 4.5 4.6 4.8 5.0 5.1 5.3 5.5 5.6 5.71976 2.4 2.4 2.3 2.3 2.3 2.3 2.3 2.3 2.4 2.4 2.5 2.5 2.6 2.7 2.7 2.8 2.9 3.0 3.1 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 4.0 4.1 4.2 4.3 4.4 4.6 4.7 4.8 5.0 5.1 5.3 5.4 5.6 5.61977 2.4 2.4 2.4 2.4 2.3 2.3 2.4 2.4 2.4 2.5 2.5 2.6 2.7 2.7 2.8 2.9 3.0 3.0 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 3.9 4.0 4.2 4.3 4.4 4.4 4.6 4.7 4.8 5.0 5.1 5.3 5.4 5.5 5.61978 2.5 2.5 2.5 2.5 2.4 2.4 2.5 2.5 2.5 2.6 2.6 2.7 2.8 2.8 2.9 3.0 3.1 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 4.0 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5.1 5.3 5.4 5.5 5.7 5.71979 2.7 2.6 2.6 2.6 2.6 2.6 2.6 2.6 2.7 2.8 2.8 2.9 2.9 3.0 3.1 3.2 3.3 3.3 3.4 3.5 3.6 3.7 3.8 3.9 4.0 4.1 4.2 4.3 4.4 4.5 4.7 4.8 4.8 5.0 5.1 5.2 5.4 5.5 5.7 5.8 6.0 6.11980 2.8 2.8 2.8 2.8 2.7 2.7 2.8 2.8 2.9 2.9 3.0 3.1 3.1 3.2 3.3 3.4 3.5 3.5 3.6 3.7 3.8 3.9 4.0 4.1 4.2 4.3 4.4 4.5 4.6 4.8 4.9 5.0 5.1 5.3 5.4 5.5 5.7 5.9 6.0 6.2 6.3 6.41981 3.0 3.0 3.0 3.0 3.0 3.0 3.0 3.1 3.1 3.2 3.2 3.3 3.4 3.5 3.5 3.6 3.7 3.8 3.9 4.0 4.1 4.2 4.3 4.4 4.5 4.7 4.8 4.9 5.0 5.1 5.3 5.4 5.5 5.7 5.8 5.9 6.1 6.3 6.5 6.7 6.8 7.01982 3.1 3.1 3.1 3.1 3.1 3.1 3.2 3.2 3.3 3.3 3.4 3.5 3.5 3.6 3.7 3.8 3.9 4.0 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5.1 5.2 5.3 5.5 5.6 5.7 5.9 6.0 6.1 6.3 6.5 6.7 6.9 7.1 7.21983 3.2 3.2 3.2 3.2 3.2 3.2 3.3 3.3 3.4 3.4 3.5 3.6 3.6 3.7 3.8 3.9 4.0 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5.1 5.2 5.3 5.4 5.6 5.7 5.8 6.0 6.1 6.2 6.4 6.6 6.8 7.0 7.1 7.31984 3.3 3.3 3.3 3.3 3.3 3.3 3.4 3.4 3.5 3.6 3.6 3.7 3.8 3.9 3.9 4.0 4.1 4.2 4.3 4.4 4.5 4.6 4.8 4.9 5.0 5.1 5.2 5.3 5.4 5.6 5.7 5.8 5.9 6.1 6.2 6.4 6.6 6.8 6.9 7.1 7.3 7.41985 3.4 3.4 3.4 3.4 3.4 3.4 3.5 3.5 3.6 3.6 3.7 3.8 3.9 3.9 4.0 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5.1 5.2 5.3 5.4 5.5 5.6 5.8 5.9 6.0 6.2 6.3 6.4 6.6 6.8 7.0 7.1 7.3 7.41986 3.5 3.5 3.5 3.5 3.4 3.5 3.5 3.6 3.6 3.7 3.8 3.8 3.9 4.0 4.1 4.2 4.3 4.3 4.4 4.5 4.6 4.8 4.9 5.0 5.1 5.2 5.3 5.4 5.5 5.7 5.8 5.9 6.0 6.2 6.3 6.4 6.6 6.8 6.9 7.1 7.3 7.41987 3.5 3.5 3.5 3.5 3.5 3.5 3.5 3.6 3.6 3.7 3.8 3.9 3.9 4.0 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5.0 5.1 5.2 5.3 5.4 5.5 5.7 5.8 5.9 6.0 6.1 6.3 6.4 6.6 6.7 6.9 7.0 7.2 7.31988 3.5 3.5 3.5 3.5 3.5 3.5 3.6 3.6 3.7 3.8 3.8 3.9 4.0 4.1 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5.0 5.1 5.2 5.3 5.4 5.5 5.7 5.8 5.9 6.0 6.2 6.3 6.4 6.6 6.7 6.9 7.0 7.1 7.21989 3.6 3.6 3.6 3.6 3.6 3.6 3.7 3.7 3.8 3.8 3.9 4.0 4.1 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5.0 5.1 5.2 5.3 5.4 5.5 5.6 5.8 5.9 6.0 6.1 6.2 6.3 6.5 6.6 6.8 6.9 7.1 7.2 7.31990 3.7 3.7 3.7 3.7 3.7 3.7 3.7 3.8 3.8 3.9 4.0 4.1 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5.0 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 6.0 6.1 6.3 6.4 6.5 6.7 6.8 6.9 7.1 7.2 7.31991 3.7 3.7 3.7 3.7 3.7 3.7 3.8 3.8 3.9 3.9 4.0 4.1 4.2 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5.0 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 6.0 6.1 6.3 6.4 6.5 6.6 6.8 6.9 7.0 7.1 7.21992 3.7 3.7 3.7 3.7 3.7 3.7 3.8 3.8 3.9 3.9 4.0 4.1 4.1 4.2 4.3 4.4 4.5 4.6 4.6 4.7 4.8 4.9 5.0 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.9 6.0 6.0 6.2 6.3 6.4 6.5 6.7 6.8 6.9 7.0 7.11993 3.7 3.7 3.7 3.7 3.7 3.7 3.7 3.8 3.9 3.9 4.0 4.1 4.1 4.2 4.3 4.4 4.4 4.5 4.6 4.7 4.8 4.9 5.0 5.1 5.2 5.3 5.4 5.5 5.5 5.7 5.8 5.9 5.9 6.1 6.2 6.3 6.4 6.5 6.6 6.8 6.9 6.91994 3.7 3.7 3.7 3.7 3.7 3.7 3.8 3.8 3.9 3.9 4.0 4.1 4.1 4.2 4.3 4.4 4.4 4.5 4.6 4.7 4.8 4.9 5.0 5.1 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 6.0 6.1 6.2 6.3 6.4 6.6 6.7 6.8 6.81995 3.7 3.7 3.7 3.7 3.7 3.7 3.8 3.8 3.9 3.9 4.0 4.1 4.1 4.2 4.3 4.4 4.5 4.5 4.6 4.7 4.8 4.9 5.0 5.1 5.2 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 6.0 6.1 6.2 6.3 6.4 6.5 6.6 6.7 6.81996 3.7 3.7 3.7 3.8 3.7 3.8 3.8 3.8 3.9 4.0 4.0 4.1 4.2 4.2 4.3 4.4 4.5 4.5 4.6 4.7 4.8 4.9 5.0 5.1 5.2 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 6.0 6.1 6.2 6.3 6.4 6.5 6.6 6.7 6.71997 3.8 3.8 3.8 3.8 3.8 3.8 3.8 3.9 3.9 4.0 4.0 4.1 4.2 4.3 4.3 4.4 4.5 4.6 4.6 4.7 4.8 4.9 5.0 5.1 5.2 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 6.0 6.0 6.1 6.3 6.4 6.5 6.5 6.6 6.71998 3.8 3.8 3.8 3.8 3.8 3.8 3.8 3.9 3.9 4.0 4.1 4.1 4.2 4.3 4.3 4.4 4.5 4.6 4.6 4.7 4.8 4.9 5.0 5.1 5.2 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.8 5.9 6.0 6.1 6.2 6.3 6.4 6.5 6.6 6.61999 3.8 3.8 3.8 3.8 3.8 3.8 3.9 3.9 4.0 4.0 4.1 4.1 4.2 4.3 4.3 4.4 4.5 4.6 4.6 4.7 4.8 4.9 5.0 5.1 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.7 5.8 5.9 6.0 6.1 6.2 6.3 6.4 6.4 6.5 6.62000 3.8 3.8 3.8 3.8 3.8 3.8 3.9 3.9 4.0 4.0 4.1 4.2 4.2 4.3 4.4 4.4 4.5 4.6 4.7 4.7 4.8 4.9 5.0 5.1 5.2 5.2 5.3 5.4 5.5 5.6 5.7 5.7 5.8 5.9 6.0 6.1 6.2 6.3 6.3 6.4 6.5 6.52001 3.8 3.8 3.8 3.8 3.8 3.8 3.9 3.9 4.0 4.0 4.1 4.2 4.2 4.3 4.4 4.4 4.5 4.6 4.7 4.7 4.8 4.9 5.0 5.1 5.1 5.2 5.3 5.4 5.4 5.5 5.6 5.7 5.8 5.9 5.9 6.0 6.1 6.2 6.3 6.4 6.4 6.52002 3.8 3.8 3.8 3.8 3.8 3.8 3.8 3.9 3.9 4.0 4.1 4.1 4.2 4.2 4.3 4.4 4.5 4.5 4.6 4.7 4.8 4.8 4.9 5.0 5.1 5.1 5.2 5.3 5.4 5.5 5.5 5.6 5.7 5.8 5.8 5.9 6.0 6.1 6.2 6.2 6.3 6.32003 3.7 3.8 3.8 3.8 3.8 3.8 3.8 3.8 3.9 4.0 4.0 4.1 4.1 4.2 4.3 4.3 4.4 4.5 4.5 4.6 4.7 4.8 4.8 4.9 5.0 5.1 5.1 5.2 5.3 5.4 5.4 5.5 5.6 5.7 5.7 5.8 5.9 6.0 6.0 6.1 6.1 6.22004 3.7 3.7 3.7 3.7 3.7 3.7 3.8 3.8 3.9 3.9 4.0 4.0 4.1 4.1 4.2 4.3 4.4 4.4 4.5 4.6 4.6 4.7 4.8 4.9 4.9 5.0 5.1 5.1 5.2 5.3 5.4 5.4 5.5 5.6 5.6 5.7 5.8 5.8 5.9 6.0 6.0 6.12005 3.7 3.7 3.7 3.7 3.7 3.7 3.8 3.8 3.9 3.9 4.0 4.0 4.1 4.1 4.2 4.3 4.3 4.4 4.5 4.5 4.6 4.7 4.7 4.8 4.9 5.0 5.0 5.1 5.1 5.2 5.3 5.4 5.4 5.5 5.6 5.6 5.7 5.8 5.8 5.9 5.9 6.02006 3.7 3.7 3.7 3.7 3.7 3.7 3.8 3.8 3.9 3.9 4.0 4.0 4.1 4.1 4.2 4.3 4.3 4.4 4.5 4.5 4.6 4.7 4.7 4.8 4.9 5.0 5.0 5.1 5.1 5.2 5.3 5.4 5.4 5.5 5.5 5.6 5.7 5.7 5.8 5.9 5.9 5.92007 3.7 3.7 3.7 3.7 3.7 3.8 3.8 3.8 3.9 3.9 4.0 4.0 4.1 4.1 4.2 4.3 4.3 4.4 4.5 4.5 4.6 4.7 4.7 4.8 4.9 4.9 5.0 5.1 5.1 5.2 5.3 5.3 5.4 5.5 5.5 5.6 5.7 5.7 5.8 5.8 5.9 5.92008 3.7 3.7 3.7 3.7 3.7 3.7 3.8 3.8 3.8 3.9 3.9 4.0 4.1 4.1 4.2 4.2 4.3 4.4 4.4 4.5 4.6 4.6 4.7 4.8 4.8 4.9 5.0 5.0 5.1 5.1 5.2 5.3 5.3 5.4 5.4 5.5 5.6 5.6 5.7 5.7 5.8 5.82009 3.7 3.7 3.7 3.7 3.7 3.7 3.7 3.7 3.8 3.8 3.9 3.9 4.0 4.1 4.1 4.2 4.2 4.3 4.4 4.4 4.5 4.6 4.6 4.7 4.7 4.8 4.9 4.9 5.0 5.1 5.1 5.2 5.2 5.3 5.3 5.4 5.5 5.5 5.6 5.6 5.7 5.72010 3.6 3.6 3.6 3.6 3.6 3.6 3.7 3.7 3.7 3.8 3.8 3.9 3.9 4.0 4.1 4.1 4.2 4.2 4.3 4.4 4.4 4.5 4.5 4.6 4.7 4.7 4.8 4.8 4.9 5.0 5.0 5.1 5.1 5.2 5.2 5.3 5.3 5.4 5.4 5.5 5.5 5.52011 3.6 3.6 3.6 3.6 3.6 3.6 3.6 3.7 3.7 3.7 3.8 3.8 3.9 3.9 4.0 4.1 4.1 4.2 4.2 4.3 4.4 4.4 4.5 4.5 4.6 4.6 4.7 4.8 4.8 4.9 4.9 5.0 5.0 5.1 5.1 5.2 5.2 5.3 5.3 5.4 5.4 5.42012 3.5 3.5 3.5 3.5 3.5 3.5 3.6 3.6 3.7 3.7 3.7 3.8 3.8 3.9 3.9 4.0 4.1 4.1 4.2 4.2 4.3 4.3 4.4 4.5 4.5 4.6 4.6 4.7 4.7 4.8 4.8 4.9 4.9 5.0 5.0 5.1 5.1 5.2 5.2 5.3 5.3 5.3

1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967

19681968 5.2 19691969 5.9 6.6 19701970 6.1 6.5 6.5 19711971 5.7 5.8 5.4 4.4 19721972 5.3 5.3 4.9 4.1 3.8 19731973 5.6 5.6 5.4 5.0 5.4 6.9 19741974 5.9 6.0 5.9 5.8 6.2 7.5 8.0 19751975 5.9 6.0 5.9 5.8 6.1 6.9 6.9 5.8 19761976 5.8 5.9 5.8 5.7 5.9 6.4 6.3 5.4 5.1 19771977 5.7 5.8 5.7 5.6 5.8 6.2 6.0 5.3 5.1 5.1 19781978 5.9 5.9 5.9 5.8 6.0 6.4 6.2 5.8 5.8 6.2 7.2 19791979 6.2 6.3 6.3 6.3 6.5 6.9 6.9 6.7 6.9 7.5 8.8 10.4 19801980 6.6 6.7 6.8 6.8 7.0 7.5 7.5 7.4 7.8 8.5 9.6 10.8 11.3 19811981 7.2 7.3 7.4 7.5 7.8 8.2 8.4 8.5 8.9 9.7 10.9 12.1 13.0 14.7 19821982 7.4 7.6 7.6 7.7 8.0 8.5 8.6 8.7 9.1 9.8 10.8 11.7 12.2 12.6 10.5 19831983 7.5 7.6 7.7 7.8 8.1 8.5 8.7 8.7 9.1 9.7 10.5 11.1 11.3 11.3 9.7 8.8 19841984 7.6 7.8 7.9 7.9 8.2 8.6 8.8 8.8 9.2 9.7 10.4 10.9 11.0 10.9 9.7 9.3 9.8 19851985 7.6 7.8 7.8 7.9 8.2 8.5 8.7 8.7 9.0 9.5 10.0 10.4 10.4 10.3 9.2 8.8 8.8 7.7 19861986 7.5 7.7 7.7 7.8 8.1 8.4 8.5 8.5 8.8 9.1 9.6 9.9 9.8 9.6 8.6 8.1 7.9 6.9 6.1 19871987 7.4 7.6 7.6 7.7 7.9 8.2 8.3 8.3 8.5 8.8 9.2 9.4 9.3 9.0 8.1 7.6 7.3 6.4 5.8 5.5 19881988 7.4 7.5 7.5 7.6 7.8 8.1 8.1 8.1 8.3 8.6 8.9 9.1 8.9 8.7 7.8 7.4 7.1 6.4 6.0 5.9 6.4 19891989 7.4 7.5 7.6 7.6 7.8 8.1 8.1 8.2 8.3 8.6 8.9 9.0 8.9 8.6 7.9 7.5 7.3 6.8 6.6 6.7 7.4 8.4 19901990 7.5 7.6 7.6 7.7 7.8 8.1 8.1 8.1 8.3 8.5 8.8 8.9 8.8 8.5 7.9 7.5 7.4 7.0 6.8 7.0 7.5 8.1 7.8 19911991 7.4 7.5 7.5 7.6 7.7 7.9 8.0 8.0 8.1 8.3 8.6 8.7 8.5 8.3 7.6 7.3 7.1 6.8 6.6 6.7 7.0 7.3 6.7 5.6 19921992 7.2 7.3 7.3 7.4 7.5 7.7 7.7 7.7 7.8 8.0 8.2 8.3 8.1 7.9 7.3 6.9 6.7 6.4 6.2 6.2 6.3 6.3 5.6 4.5 3.5 19931993 7.0 7.1 7.1 7.2 7.3 7.5 7.5 7.5 7.6 7.7 7.9 7.9 7.7 7.5 6.9 6.6 6.3 6.0 5.8 5.7 5.7 5.6 4.9 4.0 3.2 2.9 19941994 6.9 7.0 7.0 7.0 7.1 7.3 7.3 7.3 7.4 7.5 7.6 7.7 7.5 7.2 6.7 6.3 6.1 5.8 5.5 5.5 5.5 5.3 4.7 4.0 3.4 3.4 3.9 19951995 6.9 6.9 7.0 7.0 7.1 7.2 7.2 7.2 7.3 7.4 7.5 7.5 7.4 7.1 6.6 6.3 6.1 5.7 5.6 5.5 5.5 5.4 4.9 4.3 4.0 4.1 4.7 5.6 19961996 6.8 6.9 6.9 6.9 7.0 7.1 7.2 7.1 7.2 7.3 7.4 7.4 7.2 7.0 6.5 6.2 6.0 5.7 5.5 5.5 5.5 5.3 4.9 4.4 4.2 4.4 4.9 5.4 5.2 19971997 6.8 6.8 6.8 6.8 6.9 7.1 7.1 7.0 7.1 7.2 7.3 7.3 7.1 6.9 6.4 6.1 6.0 5.7 5.5 5.4 5.4 5.3 5.0 4.6 4.4 4.6 5.0 5.4 5.2 5.3 19981998 6.7 6.8 6.8 6.8 6.9 7.0 7.0 6.9 7.0 7.1 7.2 7.2 7.0 6.8 6.3 6.1 5.9 5.6 5.4 5.4 5.4 5.3 5.0 4.6 4.5 4.6 5.0 5.2 5.1 5.1 4.9 19991999 6.6 6.7 6.7 6.7 6.8 6.9 6.9 6.8 6.9 7.0 7.1 7.0 6.9 6.7 6.2 6.0 5.8 5.5 5.4 5.3 5.3 5.2 4.9 4.6 4.5 4.6 4.9 5.1 5.0 4.9 4.8 4.7 20002000 6.6 6.7 6.7 6.7 6.8 6.9 6.9 6.8 6.9 6.9 7.0 7.0 6.8 6.6 6.2 6.0 5.8 5.6 5.4 5.4 5.4 5.3 5.0 4.7 4.6 4.8 5.1 5.2 5.2 5.2 5.1 5.3 5.9 20012001 6.5 6.6 6.6 6.6 6.7 6.8 6.7 6.7 6.7 6.8 6.9 6.9 6.7 6.5 6.1 5.9 5.7 5.5 5.3 5.3 5.3 5.2 4.9 4.7 4.6 4.7 4.9 5.0 5.0 4.9 4.8 4.8 4.9 3.8 20022002 6.4 6.4 6.4 6.4 6.5 6.6 6.6 6.5 6.5 6.6 6.7 6.6 6.5 6.3 5.9 5.6 5.5 5.3 5.1 5.0 5.0 4.9 4.7 4.4 4.3 4.4 4.5 4.6 4.5 4.4 4.2 4.0 3.8 2.7 1.6 20032003 6.2 6.3 6.3 6.3 6.3 6.4 6.4 6.3 6.3 6.4 6.4 6.4 6.2 6.0 5.6 5.4 5.3 5.0 4.9 4.8 4.8 4.7 4.4 4.1 4.0 4.1 4.2 4.2 4.0 3.9 3.6 3.4 3.1 2.2 1.3 1.0 20042004 6.1 6.1 6.1 6.1 6.2 6.2 6.2 6.1 6.2 6.2 6.2 6.2 6.0 5.8 5.5 5.2 5.1 4.8 4.7 4.6 4.5 4.4 4.2 3.9 3.8 3.8 3.9 3.9 3.7 3.5 3.3 3.0 2.7 1.9 1.3 1.1 1.2 20052005 6.0 6.0 6.0 6.0 6.1 6.1 6.1 6.0 6.0 6.1 6.1 6.1 5.9 5.7 5.3 5.1 5.0 4.7 4.6 4.5 4.5 4.3 4.1 3.9 3.7 3.8 3.8 3.8 3.6 3.5 3.2 3.0 2.7 2.1 1.7 1.7 2.1 3.0 20062006 6.0 6.0 6.0 6.0 6.0 6.1 6.1 6.0 6.0 6.0 6.1 6.0 5.9 5.7 5.3 5.1 5.0 4.7 4.6 4.5 4.5 4.4 4.1 3.9 3.8 3.8 3.9 3.9 3.7 3.6 3.4 3.2 3.0 2.6 2.3 2.5 3.0 3.9 4.8 20072007 6.0 6.0 6.0 5.9 6.0 6.0 6.0 6.0 6.0 6.0 6.0 6.0 5.8 5.6 5.3 5.1 4.9 4.7 4.6 4.5 4.5 4.4 4.2 4.0 3.9 3.9 4.0 4.0 3.8 3.7 3.5 3.4 3.2 2.9 2.7 2.9 3.4 4.1 4.7 4.7 20082008 5.8 5.9 5.8 5.8 5.9 5.9 5.9 5.8 5.8 5.9 5.9 5.8 5.7 5.5 5.2 5.0 4.8 4.6 4.5 4.4 4.4 4.3 4.0 3.8 3.7 3.7 3.8 3.8 3.7 3.5 3.4 3.2 3.1 2.7 2.6 2.7 3.1 3.5 3.7 3.2 1.7 20092009 5.7 5.7 5.7 5.7 5.7 5.8 5.7 5.7 5.7 5.7 5.7 5.6 5.5 5.3 5.0 4.8 4.6 4.4 4.3 4.2 4.2 4.1 3.8 3.6 3.5 3.5 3.6 3.5 3.4 3.3 3.1 2.9 2.8 2.4 2.2 2.3 2.6 2.8 2.8 2.1 0.9 0.1 20102010 5.6 5.6 5.6 5.5 5.6 5.6 5.6 5.5 5.5 5.5 5.5 5.5 5.3 5.1 4.8 4.6 4.5 4.3 4.1 4.0 4.0 3.9 3.7 3.5 3.3 3.3 3.4 3.3 3.2 3.0 2.9 2.7 2.5 2.2 2.0 2.1 2.2 2.4 2.3 1.6 0.6 0.1 0.1 20112011 5.4 5.4 5.4 5.4 5.4 5.5 5.4 5.4 5.3 5.4 5.4 5.3 5.1 5.0 4.6 4.4 4.3 4.1 4.0 3.9 3.8 3.7 3.5 3.3 3.2 3.2 3.2 3.1 3.0 2.8 2.7 2.5 2.3 2.0 1.8 1.8 1.9 2.0 1.9 1.3 0.5 0.1 0.1 0.0 20122012 5.3 5.3 5.3 5.3 5.3 5.3 5.3 5.2 5.2 5.2 5.2 5.1 5.0 4.8 4.5 4.3 4.1 4.0 3.8 3.7 3.7 3.5 3.3 3.1 3.0 3.0 3.0 3.0 2.8 2.7 2.5 2.3 2.1 1.8 1.6 1.7 1.7 1.8 1.6 1.1 0.4 0.1 0.1 0.1 0.1

1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

Page 21: Dfa matrix book us_2013 - copy

DIMENSIONAL FUND ADVISORS MATRIX BOOK 201338 39

Data provided by ibbotson associates.

LONG-TERm GOVERNmENT BONDS

1926–2012: Total Returns (%)

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

$124

20121926

19261926 7.8 19271927 8.4 8.9 19281928 5.5 4.4 0.1 19291929 5.0 4.1 1.7 3.4 19301930 4.9 4.2 2.7 4.0 4.7 19311931 3.1 2.2 0.6 0.8 -0.5 -5.3 19321932 5.0 4.5 3.7 4.6 5.0 5.2 16.8 19331933 4.4 3.9 3.1 3.7 3.7 3.4 8.1 -0.1 19341934 5.0 4.6 4.0 4.7 4.9 5.0 8.7 4.9 10.0 19351935 5.0 4.7 4.1 4.7 5.0 5.0 7.8 4.9 7.5 5.0 19361936 5.2 4.9 4.5 5.1 5.3 5.4 7.7 5.5 7.5 6.2 7.5 19371937 4.8 4.5 4.1 4.5 4.7 4.7 6.4 4.5 5.6 4.2 3.8 0.2 19381938 4.8 4.6 4.2 4.6 4.8 4.8 6.3 4.6 5.6 4.5 4.4 2.8 5.5 19391939 4.9 4.7 4.3 4.7 4.9 4.9 6.3 4.8 5.7 4.8 4.8 3.9 5.7 5.9 19401940 5.0 4.8 4.5 4.9 5.0 5.0 6.2 5.0 5.7 5.0 5.0 4.4 5.9 6.0 6.1 19411941 4.7 4.5 4.2 4.5 4.6 4.6 5.7 4.5 5.1 4.4 4.3 3.7 4.6 4.3 3.5 0.9 19421942 4.6 4.4 4.2 4.5 4.5 4.5 5.5 4.4 4.9 4.3 4.2 3.6 4.3 4.0 3.4 2.1 3.2 19431943 4.5 4.3 4.0 4.3 4.4 4.3 5.2 4.2 4.6 4.0 3.9 3.4 3.9 3.6 3.1 2.1 2.6 2.1 19441944 4.4 4.2 4.0 4.2 4.2 4.2 5.0 4.1 4.4 3.9 3.8 3.3 3.8 3.5 3.0 2.3 2.7 2.4 2.8 19451945 4.7 4.6 4.3 4.6 4.6 4.6 5.4 4.6 5.0 4.5 4.5 4.1 4.6 4.5 4.3 3.9 4.7 5.1 6.7 10.7 19461946 4.5 4.3 4.1 4.3 4.4 4.3 5.0 4.2 4.6 4.1 4.0 3.7 4.1 3.9 3.6 3.2 3.7 3.8 4.4 5.2 -0.1 19471947 4.1 4.0 3.7 3.9 4.0 3.9 4.5 3.7 4.0 3.6 3.5 3.1 3.4 3.2 2.8 2.4 2.6 2.5 2.6 2.5 -1.4 -2.6 19481948 4.1 3.9 3.7 3.9 3.9 3.9 4.5 3.7 4.0 3.6 3.5 3.1 3.4 3.2 2.9 2.5 2.7 2.6 2.7 2.7 0.2 0.3 3.4 19491949 4.2 4.1 3.8 4.0 4.1 4.0 4.6 3.9 4.1 3.8 3.7 3.4 3.6 3.5 3.2 2.9 3.2 3.2 3.4 3.5 1.7 2.3 4.9 6.4 19501950 4.0 3.9 3.7 3.8 3.9 3.8 4.3 3.7 3.9 3.5 3.4 3.1 3.4 3.2 2.9 2.6 2.8 2.8 2.9 2.9 1.4 1.8 3.3 3.2 0.1 19511951 3.7 3.6 3.3 3.5 3.5 3.4 3.9 3.3 3.4 3.1 2.9 2.6 2.8 2.6 2.3 2.0 2.1 2.0 2.0 1.9 0.5 0.6 1.4 0.8 -2.0 -3.9 19521952 3.6 3.5 3.3 3.4 3.4 3.3 3.8 3.1 3.3 3.0 2.8 2.6 2.7 2.5 2.3 1.9 2.0 1.9 1.9 1.8 0.6 0.7 1.4 0.9 -0.9 -1.4 1.2 19531953 3.6 3.5 3.3 3.4 3.4 3.3 3.8 3.2 3.3 3.0 2.9 2.6 2.8 2.6 2.4 2.1 2.2 2.1 2.1 2.0 0.9 1.1 1.7 1.4 0.2 0.2 2.4 3.6 19541954 3.7 3.6 3.4 3.5 3.5 3.5 3.9 3.3 3.5 3.2 3.1 2.9 3.0 2.9 2.7 2.4 2.5 2.5 2.5 2.5 1.6 1.8 2.5 2.3 1.5 1.9 4.0 5.4 7.2 19551955 3.6 3.4 3.2 3.4 3.4 3.3 3.7 3.1 3.3 3.0 2.9 2.6 2.8 2.6 2.4 2.2 2.3 2.2 2.2 2.1 1.3 1.5 2.0 1.8 1.1 1.3 2.6 3.1 2.9 -1.3 19561956 3.3 3.1 2.9 3.0 3.0 2.9 3.3 2.8 2.9 2.6 2.5 2.2 2.3 2.1 1.9 1.7 1.7 1.6 1.6 1.5 0.7 0.8 1.1 0.9 0.1 0.1 0.9 0.9 0.0 -3.5 -5.6 19571957 3.4 3.3 3.1 3.2 3.2 3.1 3.4 2.9 3.1 2.8 2.7 2.5 2.6 2.4 2.2 2.0 2.1 2.0 2.0 1.9 1.2 1.3 1.8 1.6 1.0 1.1 2.0 2.2 1.8 0.1 0.7 7.5 19581958 3.1 2.9 2.8 2.9 2.8 2.8 3.1 2.6 2.7 2.4 2.3 2.1 2.1 2.0 1.8 1.5 1.6 1.5 1.4 1.3 0.6 0.7 1.0 0.8 0.2 0.2 0.8 0.7 0.2 -1.5 -1.6 0.5 -6.1 19591959 2.9 2.8 2.6 2.7 2.7 2.6 2.9 2.4 2.5 2.2 2.1 1.9 1.9 1.8 1.6 1.3 1.4 1.2 1.2 1.1 0.4 0.5 0.7 0.5 -0.1 -0.1 0.4 0.3 -0.3 -1.7 -1.8 -0.5 -4.2 -2.3 19601960 3.2 3.1 2.9 3.0 3.0 2.9 3.2 2.8 2.9 2.6 2.5 2.3 2.4 2.3 2.1 1.9 2.0 1.9 1.9 1.8 1.3 1.4 1.7 1.5 1.1 1.2 1.8 1.9 1.6 0.7 1.2 2.9 1.4 5.5 13.8 19611961 3.2 3.0 2.9 2.9 2.9 2.9 3.2 2.7 2.8 2.6 2.5 2.3 2.4 2.2 2.1 1.9 1.9 1.9 1.8 1.8 1.3 1.3 1.6 1.5 1.1 1.2 1.7 1.8 1.6 0.8 1.1 2.5 1.3 3.9 7.2 1.0 19621962 3.3 3.1 3.0 3.1 3.1 3.0 3.3 2.9 3.0 2.7 2.6 2.5 2.5 2.4 2.3 2.1 2.2 2.1 2.1 2.1 1.6 1.7 2.0 1.9 1.5 1.7 2.2 2.3 2.1 1.5 1.9 3.2 2.4 4.7 7.1 3.9 6.9 19631963 3.2 3.1 2.9 3.0 3.0 2.9 3.2 2.8 2.9 2.7 2.6 2.4 2.5 2.4 2.2 2.1 2.1 2.1 2.1 2.0 1.6 1.7 1.9 1.8 1.5 1.6 2.1 2.2 2.0 1.5 1.8 2.9 2.2 4.0 5.6 3.0 4.0 1.2 19641964 3.2 3.1 2.9 3.0 3.0 3.0 3.2 2.8 2.9 2.7 2.6 2.4 2.5 2.4 2.3 2.1 2.2 2.1 2.1 2.1 1.7 1.8 2.0 1.9 1.6 1.8 2.2 2.3 2.2 1.7 2.0 3.0 2.4 3.9 5.2 3.1 3.8 2.4 3.5 19651965 3.1 3.0 2.9 3.0 2.9 2.9 3.2 2.8 2.9 2.6 2.6 2.4 2.5 2.4 2.2 2.1 2.1 2.1 2.1 2.0 1.6 1.7 1.9 1.9 1.6 1.7 2.1 2.2 2.1 1.6 1.9 2.8 2.2 3.4 4.4 2.6 3.0 1.8 2.1 0.7 19661966 3.2 3.0 2.9 3.0 3.0 2.9 3.2 2.8 2.9 2.7 2.6 2.4 2.5 2.4 2.3 2.1 2.2 2.1 2.1 2.1 1.7 1.8 2.0 2.0 1.7 1.8 2.2 2.3 2.2 1.8 2.0 2.8 2.3 3.5 4.3 2.8 3.2 2.3 2.6 2.2 3.6 19671967 2.8 2.7 2.6 2.6 2.6 2.6 2.8 2.4 2.5 2.3 2.2 2.0 2.1 2.0 1.8 1.7 1.7 1.6 1.6 1.6 1.2 1.2 1.4 1.3 1.1 1.1 1.4 1.5 1.3 0.9 1.1 1.7 1.1 2.0 2.5 1.0 1.0 -0.1 -0.5 -1.8 -3.0 -9.21968 2.8 2.7 2.5 2.6 2.6 2.5 2.7 2.3 2.4 2.2 2.1 2.0 2.0 1.9 1.8 1.6 1.6 1.6 1.6 1.5 1.1 1.2 1.4 1.3 1.0 1.0 1.3 1.4 1.2 0.8 1.0 1.5 1.0 1.7 2.2 0.8 0.8 -0.2 -0.4 -1.4 -2.1 -4.81969 2.6 2.5 2.3 2.4 2.4 2.3 2.5 2.1 2.2 2.0 1.9 1.7 1.8 1.7 1.5 1.4 1.4 1.3 1.3 1.2 0.9 0.9 1.1 0.9 0.7 0.7 1.0 1.0 0.8 0.4 0.5 1.0 0.5 1.1 1.4 0.2 0.1 -0.9 -1.2 -2.1 -2.8 -4.91970 2.8 2.7 2.5 2.6 2.6 2.5 2.7 2.4 2.5 2.3 2.2 2.0 2.1 2.0 1.9 1.7 1.7 1.7 1.7 1.6 1.3 1.3 1.5 1.4 1.2 1.3 1.5 1.6 1.4 1.1 1.3 1.8 1.3 2.0 2.4 1.3 1.3 0.7 0.6 0.1 0.0 -0.91971 3.0 2.9 2.8 2.8 2.8 2.8 3.0 2.7 2.7 2.5 2.5 2.3 2.4 2.3 2.2 2.1 2.1 2.1 2.1 2.0 1.7 1.8 2.0 1.9 1.7 1.8 2.1 2.1 2.1 1.8 2.0 2.5 2.1 2.8 3.2 2.3 2.5 2.0 2.1 1.9 2.1 1.81972 3.1 3.0 2.8 2.9 2.9 2.8 3.1 2.7 2.8 2.6 2.6 2.4 2.5 2.4 2.3 2.2 2.2 2.2 2.2 2.2 1.9 1.9 2.1 2.1 1.9 2.0 2.3 2.3 2.2 2.0 2.2 2.7 2.4 3.0 3.4 2.6 2.8 2.3 2.5 2.3 2.6 2.41973 3.0 2.9 2.7 2.8 2.8 2.8 3.0 2.6 2.7 2.5 2.5 2.3 2.4 2.3 2.2 2.1 2.1 2.1 2.1 2.1 1.8 1.8 2.0 1.9 1.8 1.8 2.1 2.2 2.1 1.8 2.0 2.5 2.1 2.7 3.1 2.3 2.4 2.0 2.1 2.0 2.1 1.91974 3.0 2.9 2.8 2.8 2.8 2.8 3.0 2.7 2.7 2.6 2.5 2.4 2.4 2.4 2.3 2.1 2.2 2.1 2.1 2.1 1.8 1.9 2.1 2.0 1.9 1.9 2.2 2.2 2.2 1.9 2.1 2.6 2.3 2.8 3.2 2.5 2.6 2.2 2.3 2.2 2.4 2.21975 3.1 3.0 2.9 3.0 3.0 2.9 3.1 2.8 2.9 2.7 2.7 2.5 2.6 2.5 2.4 2.3 2.4 2.4 2.4 2.3 2.1 2.2 2.3 2.3 2.1 2.2 2.5 2.5 2.5 2.3 2.5 2.9 2.6 3.2 3.5 2.9 3.0 2.7 2.9 2.8 3.0 3.01976 3.4 3.3 3.2 3.2 3.2 3.2 3.4 3.1 3.2 3.0 3.0 2.9 3.0 2.9 2.8 2.7 2.8 2.7 2.8 2.8 2.5 2.6 2.8 2.8 2.6 2.7 3.0 3.1 3.1 2.9 3.1 3.5 3.3 3.9 4.3 3.7 3.9 3.7 3.9 3.9 4.2 4.31977 3.3 3.2 3.1 3.2 3.2 3.1 3.3 3.0 3.1 3.0 2.9 2.8 2.9 2.8 2.7 2.6 2.7 2.7 2.7 2.7 2.4 2.5 2.7 2.7 2.5 2.6 2.9 2.9 2.9 2.7 2.9 3.3 3.1 3.7 4.0 3.4 3.6 3.4 3.5 3.5 3.8 3.81978 3.2 3.1 3.0 3.1 3.1 3.0 3.2 2.9 3.0 2.9 2.8 2.7 2.8 2.7 2.6 2.5 2.6 2.5 2.6 2.5 2.3 2.4 2.6 2.5 2.4 2.5 2.7 2.8 2.8 2.6 2.7 3.1 2.9 3.4 3.7 3.2 3.3 3.1 3.2 3.2 3.4 3.41979 3.1 3.0 2.9 3.0 3.0 2.9 3.1 2.9 2.9 2.8 2.7 2.6 2.7 2.6 2.5 2.4 2.5 2.4 2.5 2.4 2.2 2.3 2.4 2.4 2.3 2.3 2.6 2.6 2.6 2.4 2.6 2.9 2.7 3.2 3.5 2.9 3.1 2.8 2.9 2.9 3.1 3.01980 3.0 2.9 2.8 2.8 2.8 2.8 3.0 2.7 2.8 2.6 2.6 2.5 2.5 2.4 2.3 2.3 2.3 2.3 2.3 2.3 2.0 2.1 2.2 2.2 2.1 2.1 2.3 2.4 2.3 2.2 2.3 2.6 2.4 2.8 3.1 2.6 2.7 2.4 2.5 2.5 2.6 2.51981 3.0 2.9 2.8 2.8 2.8 2.8 3.0 2.7 2.7 2.6 2.5 2.4 2.5 2.4 2.3 2.2 2.3 2.3 2.3 2.2 2.0 2.1 2.2 2.2 2.1 2.1 2.3 2.4 2.3 2.2 2.3 2.6 2.4 2.8 3.0 2.6 2.6 2.4 2.5 2.4 2.5 2.51982 3.5 3.5 3.4 3.4 3.4 3.4 3.6 3.3 3.4 3.3 3.2 3.1 3.2 3.2 3.1 3.0 3.1 3.1 3.1 3.1 2.9 3.0 3.2 3.1 3.0 3.1 3.4 3.5 3.4 3.3 3.5 3.9 3.7 4.1 4.4 4.0 4.2 4.0 4.2 4.2 4.4 4.51983 3.5 3.4 3.3 3.4 3.4 3.3 3.5 3.3 3.3 3.2 3.2 3.1 3.2 3.1 3.0 3.0 3.0 3.0 3.0 3.0 2.8 2.9 3.1 3.1 3.0 3.1 3.3 3.4 3.4 3.2 3.4 3.7 3.6 4.0 4.3 3.9 4.0 3.9 4.0 4.0 4.2 4.31984 3.7 3.6 3.5 3.6 3.6 3.6 3.7 3.5 3.6 3.4 3.4 3.3 3.4 3.4 3.3 3.2 3.3 3.3 3.3 3.3 3.2 3.2 3.4 3.4 3.3 3.4 3.6 3.7 3.7 3.6 3.8 4.1 4.0 4.4 4.7 4.3 4.5 4.4 4.5 4.6 4.8 4.91985 4.1 4.0 3.9 4.0 4.0 4.0 4.2 4.0 4.0 3.9 3.9 3.8 3.9 3.9 3.8 3.8 3.8 3.9 3.9 3.9 3.8 3.9 4.0 4.1 4.0 4.1 4.4 4.5 4.5 4.4 4.6 5.0 4.9 5.3 5.6 5.3 5.5 5.4 5.6 5.7 6.0 6.11986 4.4 4.3 4.3 4.3 4.3 4.3 4.5 4.3 4.4 4.3 4.3 4.2 4.3 4.3 4.2 4.2 4.3 4.3 4.3 4.4 4.2 4.3 4.5 4.6 4.5 4.6 4.9 5.0 5.0 5.0 5.2 5.6 5.5 5.9 6.3 6.0 6.2 6.2 6.4 6.5 6.8 6.91987 4.3 4.2 4.1 4.2 4.2 4.2 4.4 4.2 4.3 4.2 4.1 4.1 4.1 4.1 4.1 4.0 4.1 4.1 4.2 4.2 4.1 4.2 4.3 4.4 4.3 4.4 4.7 4.8 4.8 4.7 4.9 5.3 5.2 5.6 5.9 5.6 5.8 5.8 6.0 6.1 6.3 6.51988 4.4 4.3 4.2 4.3 4.3 4.3 4.5 4.3 4.4 4.3 4.2 4.2 4.3 4.2 4.2 4.2 4.2 4.2 4.3 4.3 4.2 4.3 4.5 4.5 4.4 4.6 4.8 4.9 4.9 4.9 5.1 5.4 5.4 5.8 6.0 5.8 6.0 5.9 6.1 6.2 6.5 6.61989 4.6 4.5 4.4 4.5 4.5 4.5 4.7 4.5 4.6 4.5 4.5 4.4 4.5 4.5 4.5 4.4 4.5 4.5 4.6 4.6 4.5 4.6 4.8 4.8 4.8 4.9 5.1 5.2 5.3 5.2 5.4 5.8 5.7 6.1 6.4 6.2 6.4 6.4 6.6 6.7 6.9 7.11990 4.6 4.5 4.5 4.5 4.6 4.6 4.7 4.5 4.6 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.5 4.6 4.6 4.7 4.5 4.6 4.8 4.8 4.8 4.9 5.2 5.3 5.3 5.3 5.5 5.8 5.7 6.1 6.4 6.2 6.4 6.4 6.5 6.7 6.9 7.01991 4.8 4.7 4.7 4.8 4.8 4.8 5.0 4.8 4.8 4.8 4.8 4.7 4.8 4.8 4.8 4.7 4.8 4.8 4.9 4.9 4.8 4.9 5.1 5.2 5.1 5.2 5.5 5.6 5.7 5.6 5.8 6.2 6.1 6.5 6.8 6.6 6.8 6.8 7.0 7.1 7.4 7.51992 4.9 4.8 4.8 4.8 4.8 4.9 5.0 4.8 4.9 4.8 4.8 4.8 4.9 4.9 4.8 4.8 4.9 4.9 5.0 5.0 4.9 5.0 5.2 5.2 5.2 5.3 5.6 5.7 5.8 5.7 5.9 6.2 6.2 6.6 6.9 6.7 6.9 6.9 7.1 7.2 7.4 7.61993 5.0 5.0 4.9 5.0 5.0 5.1 5.2 5.0 5.1 5.1 5.1 5.0 5.1 5.1 5.1 5.1 5.1 5.2 5.2 5.3 5.2 5.3 5.5 5.5 5.5 5.6 5.9 6.0 6.0 6.0 6.2 6.6 6.5 6.9 7.2 7.0 7.2 7.2 7.4 7.6 7.8 8.01994 4.8 4.8 4.7 4.8 4.8 4.8 5.0 4.8 4.9 4.8 4.8 4.8 4.9 4.8 4.8 4.8 4.9 4.9 5.0 5.0 4.9 5.0 5.2 5.2 5.2 5.3 5.5 5.6 5.7 5.6 5.8 6.2 6.1 6.5 6.7 6.5 6.7 6.7 6.9 7.0 7.2 7.41995 5.2 5.1 5.1 5.2 5.2 5.2 5.4 5.2 5.3 5.2 5.2 5.2 5.3 5.3 5.3 5.2 5.3 5.4 5.4 5.5 5.4 5.5 5.7 5.7 5.7 5.8 6.1 6.2 6.2 6.2 6.4 6.7 6.7 7.1 7.4 7.2 7.4 7.4 7.6 7.7 8.0 8.11996 5.1 5.1 5.0 5.1 5.1 5.1 5.3 5.1 5.2 5.1 5.1 5.1 5.2 5.2 5.1 5.1 5.2 5.2 5.3 5.4 5.2 5.4 5.5 5.6 5.6 5.7 5.9 6.0 6.1 6.0 6.2 6.5 6.5 6.9 7.1 7.0 7.1 7.1 7.3 7.4 7.7 7.81997 5.2 5.2 5.2 5.2 5.3 5.3 5.4 5.3 5.4 5.3 5.3 5.2 5.3 5.3 5.3 5.3 5.4 5.4 5.5 5.5 5.4 5.6 5.7 5.8 5.8 5.9 6.1 6.2 6.3 6.3 6.4 6.8 6.7 7.1 7.4 7.2 7.4 7.4 7.6 7.7 7.9 8.11998 5.3 5.3 5.3 5.3 5.4 5.4 5.5 5.4 5.5 5.4 5.4 5.4 5.5 5.5 5.4 5.4 5.5 5.6 5.6 5.7 5.6 5.7 5.9 5.9 5.9 6.0 6.3 6.4 6.4 6.4 6.6 6.9 6.9 7.2 7.5 7.3 7.5 7.5 7.7 7.8 8.1 8.21999 5.1 5.1 5.0 5.1 5.1 5.2 5.3 5.1 5.2 5.2 5.2 5.1 5.2 5.2 5.2 5.2 5.2 5.3 5.3 5.4 5.3 5.4 5.6 5.6 5.6 5.7 5.9 6.0 6.1 6.0 6.2 6.5 6.5 6.8 7.0 6.9 7.0 7.0 7.2 7.3 7.5 7.62000 5.3 5.3 5.3 5.3 5.4 5.4 5.5 5.4 5.5 5.4 5.4 5.4 5.4 5.4 5.4 5.4 5.5 5.5 5.6 5.7 5.6 5.7 5.8 5.9 5.9 6.0 6.2 6.3 6.4 6.4 6.5 6.8 6.8 7.1 7.4 7.2 7.4 7.4 7.6 7.7 7.9 8.02001 5.3 5.3 5.2 5.3 5.3 5.3 5.5 5.3 5.4 5.4 5.4 5.3 5.4 5.4 5.4 5.4 5.5 5.5 5.6 5.6 5.5 5.6 5.8 5.8 5.8 5.9 6.2 6.3 6.3 6.3 6.5 6.8 6.7 7.1 7.3 7.1 7.3 7.3 7.5 7.6 7.8 7.92002 5.5 5.4 5.4 5.5 5.5 5.5 5.7 5.5 5.6 5.5 5.5 5.5 5.6 5.6 5.6 5.6 5.7 5.7 5.8 5.8 5.7 5.8 6.0 6.1 6.0 6.2 6.4 6.5 6.5 6.5 6.7 7.0 7.0 7.3 7.5 7.4 7.5 7.6 7.7 7.8 8.0 8.22003 5.4 5.4 5.3 5.4 5.4 5.5 5.6 5.5 5.5 5.5 5.5 5.5 5.5 5.5 5.5 5.5 5.6 5.6 5.7 5.7 5.7 5.8 5.9 6.0 6.0 6.1 6.3 6.4 6.4 6.4 6.6 6.9 6.8 7.2 7.4 7.2 7.4 7.4 7.6 7.7 7.9 8.02004 5.5 5.4 5.4 5.5 5.5 5.5 5.6 5.5 5.6 5.5 5.5 5.5 5.6 5.6 5.6 5.6 5.6 5.7 5.7 5.8 5.7 5.8 6.0 6.0 6.0 6.1 6.3 6.4 6.5 6.5 6.6 6.9 6.9 7.2 7.4 7.3 7.4 7.4 7.6 7.7 7.9 8.02005 5.5 5.5 5.4 5.5 5.5 5.5 5.7 5.5 5.6 5.6 5.6 5.5 5.6 5.6 5.6 5.6 5.7 5.7 5.8 5.8 5.7 5.8 6.0 6.0 6.0 6.1 6.3 6.4 6.5 6.5 6.6 6.9 6.9 7.2 7.4 7.3 7.4 7.4 7.6 7.7 7.9 8.02006 5.4 5.4 5.4 5.4 5.5 5.5 5.6 5.5 5.5 5.5 5.5 5.5 5.5 5.5 5.5 5.5 5.6 5.6 5.7 5.7 5.7 5.8 5.9 6.0 5.9 6.1 6.2 6.3 6.4 6.4 6.5 6.8 6.8 7.1 7.3 7.1 7.3 7.3 7.4 7.5 7.7 7.82007 5.5 5.5 5.4 5.5 5.5 5.5 5.7 5.5 5.6 5.5 5.6 5.5 5.6 5.6 5.6 5.6 5.7 5.7 5.8 5.8 5.7 5.8 6.0 6.0 6.0 6.1 6.3 6.4 6.5 6.4 6.6 6.9 6.8 7.1 7.3 7.2 7.3 7.3 7.5 7.6 7.8 7.92008 5.7 5.7 5.6 5.7 5.7 5.8 5.9 5.8 5.9 5.8 5.8 5.8 5.9 5.9 5.9 5.9 5.9 6.0 6.0 6.1 6.0 6.1 6.3 6.3 6.3 6.4 6.6 6.7 6.8 6.8 6.9 7.2 7.2 7.5 7.7 7.6 7.7 7.7 7.9 8.0 8.1 8.32009 5.4 5.4 5.4 5.4 5.5 5.5 5.6 5.5 5.6 5.5 5.5 5.5 5.5 5.5 5.5 5.5 5.6 5.6 5.7 5.7 5.7 5.8 5.9 5.9 5.9 6.0 6.2 6.3 6.4 6.3 6.5 6.7 6.7 7.0 7.2 7.0 7.2 7.2 7.3 7.4 7.6 7.72010 5.5 5.5 5.4 5.5 5.5 5.5 5.7 5.5 5.6 5.6 5.6 5.5 5.6 5.6 5.6 5.6 5.7 5.7 5.8 5.8 5.7 5.8 6.0 6.0 6.0 6.1 6.3 6.4 6.4 6.4 6.6 6.8 6.8 7.0 7.2 7.1 7.2 7.2 7.4 7.5 7.6 7.72011 5.7 5.7 5.7 5.7 5.8 5.8 5.9 5.8 5.9 5.8 5.8 5.8 5.9 5.9 5.9 5.9 6.0 6.0 6.1 6.1 6.0 6.1 6.3 6.3 6.3 6.4 6.6 6.7 6.8 6.8 6.9 7.1 7.1 7.4 7.6 7.5 7.6 7.6 7.8 7.9 8.0 8.12012 5.7 5.7 5.6 5.7 5.7 5.7 5.9 5.8 5.8 5.8 5.8 5.8 5.9 5.9 5.9 5.9 5.9 6.0 6.0 6.1 6.0 6.1 6.2 6.3 6.3 6.4 6.6 6.6 6.7 6.7 6.8 7.1 7.1 7.3 7.5 7.4 7.5 7.5 7.7 7.8 7.9 8.0

1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967

19681968 5.2 19691969 5.9 6.6 19701970 6.1 6.5 6.5 19711971 5.7 5.8 5.4 4.4 19721972 5.3 5.3 4.9 4.1 3.8 19731973 5.6 5.6 5.4 5.0 5.4 6.9 19741974 5.9 6.0 5.9 5.8 6.2 7.5 8.0 19751975 5.9 6.0 5.9 5.8 6.1 6.9 6.9 5.8 19761976 5.8 5.9 5.8 5.7 5.9 6.4 6.3 5.4 5.1 19771977 5.7 5.8 5.7 5.6 5.8 6.2 6.0 5.3 5.1 5.1 19781978 5.9 5.9 5.9 5.8 6.0 6.4 6.2 5.8 5.8 6.2 7.2 19791979 6.2 6.3 6.3 6.3 6.5 6.9 6.9 6.7 6.9 7.5 8.8 10.4 19801980 6.6 6.7 6.8 6.8 7.0 7.5 7.5 7.4 7.8 8.5 9.6 10.8 11.3 19811981 7.2 7.3 7.4 7.5 7.8 8.2 8.4 8.5 8.9 9.7 10.9 12.1 13.0 14.7 19821982 7.4 7.6 7.6 7.7 8.0 8.5 8.6 8.7 9.1 9.8 10.8 11.7 12.2 12.6 10.5 19831983 7.5 7.6 7.7 7.8 8.1 8.5 8.7 8.7 9.1 9.7 10.5 11.1 11.3 11.3 9.7 8.8 19841984 7.6 7.8 7.9 7.9 8.2 8.6 8.8 8.8 9.2 9.7 10.4 10.9 11.0 10.9 9.7 9.3 9.8 19851985 7.6 7.8 7.8 7.9 8.2 8.5 8.7 8.7 9.0 9.5 10.0 10.4 10.4 10.3 9.2 8.8 8.8 7.7 19861986 7.5 7.7 7.7 7.8 8.1 8.4 8.5 8.5 8.8 9.1 9.6 9.9 9.8 9.6 8.6 8.1 7.9 6.9 6.1 19871987 7.4 7.6 7.6 7.7 7.9 8.2 8.3 8.3 8.5 8.8 9.2 9.4 9.3 9.0 8.1 7.6 7.3 6.4 5.8 5.5 19881988 7.4 7.5 7.5 7.6 7.8 8.1 8.1 8.1 8.3 8.6 8.9 9.1 8.9 8.7 7.8 7.4 7.1 6.4 6.0 5.9 6.4 19891989 7.4 7.5 7.6 7.6 7.8 8.1 8.1 8.2 8.3 8.6 8.9 9.0 8.9 8.6 7.9 7.5 7.3 6.8 6.6 6.7 7.4 8.4 19901990 7.5 7.6 7.6 7.7 7.8 8.1 8.1 8.1 8.3 8.5 8.8 8.9 8.8 8.5 7.9 7.5 7.4 7.0 6.8 7.0 7.5 8.1 7.8 19911991 7.4 7.5 7.5 7.6 7.7 7.9 8.0 8.0 8.1 8.3 8.6 8.7 8.5 8.3 7.6 7.3 7.1 6.8 6.6 6.7 7.0 7.3 6.7 5.6 19921992 7.2 7.3 7.3 7.4 7.5 7.7 7.7 7.7 7.8 8.0 8.2 8.3 8.1 7.9 7.3 6.9 6.7 6.4 6.2 6.2 6.3 6.3 5.6 4.5 3.5 19931993 7.0 7.1 7.1 7.2 7.3 7.5 7.5 7.5 7.6 7.7 7.9 7.9 7.7 7.5 6.9 6.6 6.3 6.0 5.8 5.7 5.7 5.6 4.9 4.0 3.2 2.9 19941994 6.9 7.0 7.0 7.0 7.1 7.3 7.3 7.3 7.4 7.5 7.6 7.7 7.5 7.2 6.7 6.3 6.1 5.8 5.5 5.5 5.5 5.3 4.7 4.0 3.4 3.4 3.9 19951995 6.9 6.9 7.0 7.0 7.1 7.2 7.2 7.2 7.3 7.4 7.5 7.5 7.4 7.1 6.6 6.3 6.1 5.7 5.6 5.5 5.5 5.4 4.9 4.3 4.0 4.1 4.7 5.6 19961996 6.8 6.9 6.9 6.9 7.0 7.1 7.2 7.1 7.2 7.3 7.4 7.4 7.2 7.0 6.5 6.2 6.0 5.7 5.5 5.5 5.5 5.3 4.9 4.4 4.2 4.4 4.9 5.4 5.2 19971997 6.8 6.8 6.8 6.8 6.9 7.1 7.1 7.0 7.1 7.2 7.3 7.3 7.1 6.9 6.4 6.1 6.0 5.7 5.5 5.4 5.4 5.3 5.0 4.6 4.4 4.6 5.0 5.4 5.2 5.3 19981998 6.7 6.8 6.8 6.8 6.9 7.0 7.0 6.9 7.0 7.1 7.2 7.2 7.0 6.8 6.3 6.1 5.9 5.6 5.4 5.4 5.4 5.3 5.0 4.6 4.5 4.6 5.0 5.2 5.1 5.1 4.9 19991999 6.6 6.7 6.7 6.7 6.8 6.9 6.9 6.8 6.9 7.0 7.1 7.0 6.9 6.7 6.2 6.0 5.8 5.5 5.4 5.3 5.3 5.2 4.9 4.6 4.5 4.6 4.9 5.1 5.0 4.9 4.8 4.7 20002000 6.6 6.7 6.7 6.7 6.8 6.9 6.9 6.8 6.9 6.9 7.0 7.0 6.8 6.6 6.2 6.0 5.8 5.6 5.4 5.4 5.4 5.3 5.0 4.7 4.6 4.8 5.1 5.2 5.2 5.2 5.1 5.3 5.9 20012001 6.5 6.6 6.6 6.6 6.7 6.8 6.7 6.7 6.7 6.8 6.9 6.9 6.7 6.5 6.1 5.9 5.7 5.5 5.3 5.3 5.3 5.2 4.9 4.7 4.6 4.7 4.9 5.0 5.0 4.9 4.8 4.8 4.9 3.8 20022002 6.4 6.4 6.4 6.4 6.5 6.6 6.6 6.5 6.5 6.6 6.7 6.6 6.5 6.3 5.9 5.6 5.5 5.3 5.1 5.0 5.0 4.9 4.7 4.4 4.3 4.4 4.5 4.6 4.5 4.4 4.2 4.0 3.8 2.7 1.6 20032003 6.2 6.3 6.3 6.3 6.3 6.4 6.4 6.3 6.3 6.4 6.4 6.4 6.2 6.0 5.6 5.4 5.3 5.0 4.9 4.8 4.8 4.7 4.4 4.1 4.0 4.1 4.2 4.2 4.0 3.9 3.6 3.4 3.1 2.2 1.3 1.0 20042004 6.1 6.1 6.1 6.1 6.2 6.2 6.2 6.1 6.2 6.2 6.2 6.2 6.0 5.8 5.5 5.2 5.1 4.8 4.7 4.6 4.5 4.4 4.2 3.9 3.8 3.8 3.9 3.9 3.7 3.5 3.3 3.0 2.7 1.9 1.3 1.1 1.2 20052005 6.0 6.0 6.0 6.0 6.1 6.1 6.1 6.0 6.0 6.1 6.1 6.1 5.9 5.7 5.3 5.1 5.0 4.7 4.6 4.5 4.5 4.3 4.1 3.9 3.7 3.8 3.8 3.8 3.6 3.5 3.2 3.0 2.7 2.1 1.7 1.7 2.1 3.0 20062006 6.0 6.0 6.0 6.0 6.0 6.1 6.1 6.0 6.0 6.0 6.1 6.0 5.9 5.7 5.3 5.1 5.0 4.7 4.6 4.5 4.5 4.4 4.1 3.9 3.8 3.8 3.9 3.9 3.7 3.6 3.4 3.2 3.0 2.6 2.3 2.5 3.0 3.9 4.8 20072007 6.0 6.0 6.0 5.9 6.0 6.0 6.0 6.0 6.0 6.0 6.0 6.0 5.8 5.6 5.3 5.1 4.9 4.7 4.6 4.5 4.5 4.4 4.2 4.0 3.9 3.9 4.0 4.0 3.8 3.7 3.5 3.4 3.2 2.9 2.7 2.9 3.4 4.1 4.7 4.7 20082008 5.8 5.9 5.8 5.8 5.9 5.9 5.9 5.8 5.8 5.9 5.9 5.8 5.7 5.5 5.2 5.0 4.8 4.6 4.5 4.4 4.4 4.3 4.0 3.8 3.7 3.7 3.8 3.8 3.7 3.5 3.4 3.2 3.1 2.7 2.6 2.7 3.1 3.5 3.7 3.2 1.7 20092009 5.7 5.7 5.7 5.7 5.7 5.8 5.7 5.7 5.7 5.7 5.7 5.6 5.5 5.3 5.0 4.8 4.6 4.4 4.3 4.2 4.2 4.1 3.8 3.6 3.5 3.5 3.6 3.5 3.4 3.3 3.1 2.9 2.8 2.4 2.2 2.3 2.6 2.8 2.8 2.1 0.9 0.1 20102010 5.6 5.6 5.6 5.5 5.6 5.6 5.6 5.5 5.5 5.5 5.5 5.5 5.3 5.1 4.8 4.6 4.5 4.3 4.1 4.0 4.0 3.9 3.7 3.5 3.3 3.3 3.4 3.3 3.2 3.0 2.9 2.7 2.5 2.2 2.0 2.1 2.2 2.4 2.3 1.6 0.6 0.1 0.1 20112011 5.4 5.4 5.4 5.4 5.4 5.5 5.4 5.4 5.3 5.4 5.4 5.3 5.1 5.0 4.6 4.4 4.3 4.1 4.0 3.9 3.8 3.7 3.5 3.3 3.2 3.2 3.2 3.1 3.0 2.8 2.7 2.5 2.3 2.0 1.8 1.8 1.9 2.0 1.9 1.3 0.5 0.1 0.1 0.0 20122012 5.3 5.3 5.3 5.3 5.3 5.3 5.3 5.2 5.2 5.2 5.2 5.1 5.0 4.8 4.5 4.3 4.1 4.0 3.8 3.7 3.7 3.5 3.3 3.1 3.0 3.0 3.0 3.0 2.8 2.7 2.5 2.3 2.1 1.8 1.6 1.7 1.7 1.8 1.6 1.1 0.4 0.1 0.1 0.1 0.1

1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

19681968 -0.3 19691969 -2.7 -5.1 19701970 2.0 3.2 12.1 19711971 4.7 6.4 12.7 13.2 19721972 4.9 6.2 10.3 9.4 5.7 19731973 3.9 4.7 7.3 5.8 2.2 -1.1 19741974 3.9 4.7 6.7 5.4 2.9 1.6 4.4 19751975 4.6 5.3 7.1 6.2 4.5 4.1 6.7 9.2 19761976 5.9 6.7 8.5 7.9 6.8 7.1 10.0 12.9 16.8 19771977 5.2 5.8 7.3 6.6 5.5 5.5 7.2 8.2 7.7 -0.7 19781978 4.6 5.1 6.3 5.6 4.5 4.4 5.5 5.8 4.7 -0.9 -1.2 19791979 4.1 4.5 5.5 4.8 3.8 3.5 4.3 4.3 3.2 -1.0 -1.2 -1.2 19801980 3.5 3.8 4.6 3.9 2.9 2.6 3.1 2.9 1.7 -1.8 -2.1 -2.6 -4.0 19811981 3.3 3.6 4.4 3.7 2.8 2.5 3.0 2.8 1.7 -1.0 -1.1 -1.1 -1.1 1.9 19821982 5.5 5.9 6.8 6.4 5.8 5.8 6.6 6.8 6.5 4.9 6.0 7.9 11.1 19.6 40.4 19831983 5.2 5.5 6.3 5.9 5.3 5.3 6.0 6.1 5.8 4.3 5.1 6.4 8.4 12.9 18.9 0.7 19841984 5.8 6.1 6.9 6.6 6.1 6.1 6.8 7.0 6.8 5.6 6.6 7.9 9.8 13.6 17.8 7.9 15.5 19851985 7.0 7.5 8.3 8.1 7.7 7.8 8.6 9.0 9.0 8.2 9.3 10.9 13.1 16.8 20.9 15.1 23.0 31.0 19861986 7.9 8.3 9.2 9.0 8.7 9.0 9.8 10.2 10.3 9.7 10.9 12.5 14.6 18.1 21.6 17.3 23.5 27.7 24.5 19871987 7.3 7.7 8.5 8.3 8.0 8.1 8.8 9.2 9.2 8.5 9.5 10.7 12.3 14.9 17.2 13.0 16.3 16.6 10.0 -2.7 19881988 7.4 7.8 8.6 8.4 8.1 8.2 8.9 9.2 9.2 8.6 9.5 10.6 12.0 14.2 16.1 12.5 15.0 14.8 9.9 3.3 9.7 19891989 7.9 8.3 9.0 8.9 8.6 8.8 9.4 9.8 9.8 9.3 10.2 11.3 12.6 14.6 16.3 13.3 15.5 15.5 11.9 8.0 13.8 18.1 19901990 7.8 8.2 8.9 8.7 8.5 8.6 9.2 9.6 9.6 9.1 9.9 10.9 12.0 13.8 15.2 12.3 14.1 13.9 10.7 7.6 11.2 12.0 6.2 19911991 8.3 8.7 9.3 9.2 9.0 9.2 9.8 10.1 10.2 9.7 10.5 11.5 12.6 14.2 15.6 13.1 14.7 14.6 12.1 9.8 13.2 14.4 12.5 19.3 19921992 8.3 8.7 9.3 9.2 9.0 9.2 9.8 10.1 10.1 9.7 10.4 11.3 12.4 13.8 15.0 12.7 14.1 14.0 11.7 9.7 12.4 13.1 11.5 14.2 9.4 19931993 8.7 9.1 9.7 9.6 9.4 9.6 10.2 10.5 10.6 10.2 10.9 11.8 12.8 14.2 15.3 13.2 14.5 14.4 12.5 10.9 13.4 14.1 13.1 15.6 13.7 18.2 19941994 8.0 8.4 8.9 8.8 8.6 8.7 9.2 9.5 9.5 9.1 9.7 10.4 11.3 12.4 13.3 11.3 12.3 12.0 10.1 8.4 10.1 10.1 8.6 9.2 6.1 4.4 -7.8 19951995 8.8 9.1 9.7 9.6 9.5 9.7 10.2 10.5 10.5 10.2 10.8 11.6 12.4 13.6 14.5 12.7 13.8 13.7 12.1 10.8 12.6 13.0 12.1 13.4 12.0 12.8 10.2 31.7 19961996 8.4 8.8 9.3 9.2 9.1 9.2 9.7 9.9 9.9 9.6 10.2 10.9 11.6 12.7 13.4 11.7 12.6 12.4 10.8 9.5 11.0 11.1 10.2 10.9 9.3 9.2 6.4 14.2 -0.9 19971997 8.7 9.0 9.5 9.4 9.3 9.5 9.9 10.2 10.2 9.9 10.5 11.1 11.8 12.8 13.6 12.0 12.8 12.6 11.2 10.1 11.5 11.7 10.9 11.6 10.3 10.5 8.7 14.8 7.1 15.9 19981998 8.8 9.1 9.7 9.6 9.4 9.6 10.0 10.3 10.3 10.0 10.6 11.2 11.9 12.9 13.5 12.0 12.8 12.7 11.4 10.3 11.6 11.8 11.1 11.7 10.7 10.9 9.5 14.3 9.1 14.5 13.1 19991999 8.2 8.5 9.0 8.9 8.7 8.8 9.2 9.4 9.5 9.1 9.6 10.2 10.8 11.6 12.2 10.7 11.3 11.1 9.8 8.7 9.7 9.7 8.9 9.2 8.0 7.8 6.2 9.2 4.3 6.0 1.4 -9.0 20002000 8.6 8.9 9.4 9.3 9.1 9.3 9.7 9.9 9.9 9.6 10.1 10.6 11.2 12.1 12.6 11.3 11.9 11.7 10.5 9.6 10.6 10.7 10.0 10.4 9.5 9.5 8.3 11.2 7.5 9.7 7.7 5.2 21.5 20012001 8.4 8.7 9.2 9.1 9.0 9.1 9.5 9.6 9.7 9.4 9.8 10.3 10.9 11.7 12.2 10.8 11.4 11.2 10.1 9.2 10.1 10.1 9.5 9.8 8.9 8.8 7.7 10.1 6.9 8.5 6.7 4.7 12.2 3.7 20022002 8.7 9.0 9.4 9.4 9.2 9.4 9.7 9.9 10.0 9.7 10.1 10.6 11.2 11.9 12.4 11.2 11.8 11.6 10.5 9.7 10.6 10.6 10.1 10.4 9.7 9.7 8.8 11.0 8.4 10.0 8.8 7.8 14.1 10.5 17.8 20032003 8.5 8.8 9.2 9.1 9.0 9.1 9.4 9.6 9.6 9.4 9.8 10.3 10.8 11.4 11.9 10.7 11.2 11.0 10.0 9.2 10.0 10.0 9.5 9.7 8.9 8.9 8.0 9.9 7.5 8.7 7.6 6.5 10.8 7.4 9.3 1.4 20042004 8.5 8.7 9.2 9.1 9.0 9.1 9.4 9.6 9.6 9.4 9.7 10.2 10.7 11.3 11.8 10.6 11.1 10.9 9.9 9.2 9.9 9.9 9.4 9.6 8.9 8.9 8.1 9.8 7.6 8.7 7.7 6.8 10.3 7.7 9.1 4.9 8.5 20052005 8.5 8.7 9.1 9.1 8.9 9.0 9.4 9.5 9.5 9.3 9.7 10.1 10.6 11.2 11.6 10.5 10.9 10.7 9.8 9.1 9.8 9.8 9.3 9.5 8.8 8.8 8.0 9.6 7.6 8.6 7.7 7.0 9.9 7.7 8.7 5.9 8.2 7.8 20062006 8.3 8.5 8.9 8.8 8.7 8.8 9.1 9.3 9.3 9.0 9.4 9.8 10.2 10.8 11.2 10.1 10.5 10.3 9.4 8.7 9.3 9.3 8.8 9.0 8.3 8.2 7.5 8.9 7.0 7.8 7.0 6.2 8.6 6.6 7.2 4.7 5.8 4.4 1.2 20072007 8.3 8.6 8.9 8.9 8.7 8.8 9.1 9.3 9.3 9.0 9.4 9.8 10.2 10.7 11.1 10.1 10.5 10.3 9.4 8.7 9.3 9.3 8.9 9.0 8.4 8.3 7.7 8.9 7.2 8.0 7.3 6.6 8.8 7.1 7.6 5.7 6.8 6.2 5.4 9.9 20082008 8.7 9.0 9.3 9.3 9.2 9.3 9.6 9.7 9.7 9.5 9.9 10.3 10.7 11.3 11.6 10.6 11.1 10.9 10.1 9.5 10.1 10.1 9.7 9.9 9.4 9.4 8.8 10.1 8.6 9.4 8.8 8.4 10.5 9.2 10.1 8.8 10.3 10.8 11.8 17.6 25.8 20092009 8.1 8.3 8.7 8.6 8.4 8.5 8.8 8.9 8.9 8.7 9.0 9.4 9.7 10.2 10.5 9.6 9.9 9.7 8.9 8.3 8.8 8.7 8.3 8.4 7.8 7.7 7.1 8.2 6.7 7.3 6.6 6.1 7.7 6.3 6.6 5.1 5.7 5.1 4.5 5.6 3.5 -14.9 20102010 8.1 8.3 8.7 8.6 8.5 8.6 8.8 9.0 9.0 8.7 9.0 9.4 9.7 10.2 10.5 9.6 9.9 9.7 8.9 8.3 8.9 8.8 8.4 8.5 8.0 7.9 7.3 8.3 6.9 7.5 6.9 6.4 7.9 6.6 7.0 5.7 6.3 5.9 5.6 6.7 5.6 -3.2 10.1 20112011 8.6 8.8 9.1 9.0 8.9 9.0 9.3 9.4 9.5 9.3 9.6 9.9 10.3 10.8 11.1 10.2 10.5 10.4 9.6 9.1 9.6 9.6 9.2 9.4 8.9 8.9 8.4 9.4 8.1 8.8 8.3 7.9 9.5 8.4 8.9 8.0 8.8 8.9 9.0 10.7 10.9 6.3 18.8 28.2 20122012 8.4 8.6 9.0 8.9 8.8 8.9 9.2 9.3 9.3 9.1 9.4 9.7 10.1 10.5 10.8 9.9 10.3 10.1 9.4 8.8 9.3 9.3 9.0 9.1 8.6 8.6 8.1 9.1 7.9 8.4 7.9 7.6 9.0 8.0 8.4 7.5 8.2 8.2 8.2 9.4 9.3 5.6 13.4 15.1 3.3

1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

Page 22: Dfa matrix book us_2013 - copy

DIMENSIONAL FUND ADVISORS MATRIX BOOK 201340 41

LONG-TERm CORPORATE BONDS

1926–2012: Total Returns (%)

Data provided by ibbotson associates.

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

$171

20121926

19261926 7.4 19271927 7.4 7.4 19281928 5.9 5.1 2.8 19291929 5.2 4.5 3.1 3.3 19301930 5.8 5.4 4.7 5.6 8.0 19311931 4.4 3.9 3.0 3.1 2.9 -1.9 19321932 5.3 5.0 4.5 4.9 5.5 4.3 10.8 19331933 6.0 5.8 5.5 6.0 6.7 6.3 10.6 10.4 19341934 6.8 6.7 6.6 7.3 8.1 8.1 11.7 12.1 13.8 19351935 7.1 7.0 7.0 7.6 8.3 8.4 11.2 11.3 11.7 9.6 19361936 7.1 7.0 7.0 7.5 8.1 8.1 10.3 10.1 10.0 8.2 6.7 19371937 6.7 6.6 6.5 7.0 7.4 7.4 9.0 8.6 8.2 6.3 4.7 2.7 19381938 6.6 6.6 6.5 6.9 7.3 7.2 8.6 8.2 7.8 6.3 5.2 4.4 6.1 19391939 6.4 6.4 6.3 6.6 6.9 6.8 8.0 7.6 7.1 5.8 4.9 4.3 5.0 4.0 19401940 6.2 6.2 6.1 6.3 6.6 6.5 7.5 7.0 6.6 5.4 4.6 4.1 4.5 3.7 3.4 19411941 6.0 5.9 5.8 6.1 6.3 6.1 7.0 6.6 6.1 5.0 4.3 3.8 4.0 3.4 3.1 2.7 19421942 5.8 5.7 5.6 5.8 6.0 5.8 6.6 6.2 5.7 4.7 4.0 3.6 3.8 3.2 2.9 2.7 2.6 19431943 5.6 5.5 5.4 5.6 5.8 5.6 6.3 5.8 5.4 4.5 3.9 3.5 3.6 3.1 2.9 2.7 2.7 2.8 19441944 5.6 5.5 5.4 5.5 5.7 5.5 6.1 5.8 5.3 4.5 4.0 3.6 3.8 3.4 3.3 3.2 3.4 3.8 4.7 19451945 5.5 5.4 5.3 5.5 5.6 5.4 6.0 5.6 5.2 4.5 4.0 3.7 3.8 3.5 3.4 3.4 3.6 3.9 4.4 4.1 19461946 5.3 5.2 5.1 5.3 5.4 5.2 5.7 5.3 5.0 4.3 3.8 3.5 3.6 3.3 3.2 3.1 3.2 3.3 3.5 2.9 1.7 19471947 5.0 4.9 4.7 4.8 4.9 4.7 5.2 4.8 4.4 3.7 3.3 2.9 3.0 2.6 2.4 2.3 2.2 2.2 2.0 1.1 -0.3 -2.3 19481948 4.9 4.8 4.7 4.8 4.9 4.7 5.1 4.8 4.4 3.8 3.3 3.0 3.1 2.8 2.6 2.5 2.5 2.5 2.4 1.9 1.1 0.8 4.1 19491949 4.9 4.8 4.6 4.7 4.8 4.6 5.0 4.7 4.3 3.7 3.3 3.1 3.1 2.8 2.7 2.6 2.6 2.6 2.6 2.2 1.7 1.7 3.7 3.3 19501950 4.8 4.7 4.5 4.6 4.7 4.5 4.9 4.5 4.2 3.6 3.2 3.0 3.0 2.8 2.6 2.6 2.6 2.6 2.5 2.1 1.8 1.8 3.2 2.7 2.1 19511951 4.5 4.3 4.2 4.3 4.3 4.2 4.5 4.1 3.8 3.2 2.9 2.6 2.6 2.3 2.2 2.1 2.0 2.0 1.8 1.4 1.0 0.9 1.7 0.9 -0.3 -2.7 19521952 4.4 4.3 4.2 4.2 4.3 4.1 4.4 4.1 3.8 3.3 2.9 2.7 2.7 2.4 2.3 2.2 2.2 2.1 2.0 1.7 1.4 1.3 2.0 1.5 0.9 0.4 3.5 19531953 4.4 4.3 4.2 4.2 4.3 4.1 4.4 4.1 3.8 3.3 2.9 2.7 2.7 2.5 2.4 2.3 2.3 2.2 2.2 1.9 1.6 1.6 2.3 1.9 1.6 1.4 3.5 3.4 19541954 4.4 4.3 4.2 4.3 4.3 4.2 4.4 4.1 3.8 3.4 3.1 2.9 2.9 2.7 2.6 2.5 2.5 2.5 2.5 2.2 2.0 2.1 2.7 2.5 2.3 2.4 4.1 4.4 5.4 19551955 4.3 4.2 4.1 4.1 4.2 4.0 4.3 4.0 3.7 3.2 2.9 2.7 2.7 2.5 2.4 2.4 2.4 2.3 2.3 2.1 1.9 1.9 2.4 2.2 2.0 2.0 3.2 3.1 2.9 0.5 19561956 3.9 3.8 3.7 3.7 3.7 3.6 3.8 3.5 3.2 2.8 2.4 2.2 2.2 2.0 1.9 1.8 1.7 1.6 1.6 1.3 1.1 1.0 1.4 1.0 0.7 0.5 1.1 0.5 -0.4 -3.2 -6.8 19571957 4.1 4.0 3.8 3.9 3.9 3.7 4.0 3.7 3.4 3.0 2.7 2.5 2.5 2.3 2.2 2.2 2.1 2.1 2.1 1.9 1.7 1.7 2.1 1.8 1.7 1.6 2.3 2.1 1.8 0.6 0.7 8.7 19581958 3.9 3.8 3.6 3.7 3.7 3.5 3.7 3.5 3.2 2.8 2.5 2.3 2.3 2.1 2.0 1.9 1.9 1.8 1.8 1.6 1.4 1.3 1.7 1.4 1.2 1.1 1.7 1.4 1.0 -0.1 -0.3 3.1 -2.2 19591959 3.7 3.6 3.5 3.5 3.5 3.4 3.6 3.3 3.0 2.6 2.3 2.2 2.1 1.9 1.8 1.8 1.7 1.7 1.6 1.4 1.2 1.2 1.5 1.2 1.0 0.9 1.3 1.0 0.6 -0.3 -0.5 1.7 -1.6 -1.0 19601960 3.9 3.8 3.7 3.7 3.7 3.6 3.7 3.5 3.3 2.9 2.6 2.4 2.4 2.3 2.2 2.1 2.1 2.1 2.0 1.8 1.7 1.7 2.0 1.8 1.7 1.7 2.2 2.0 1.8 1.2 1.4 3.5 1.8 3.9 9.1 19611961 3.9 3.8 3.7 3.7 3.7 3.6 3.8 3.5 3.3 2.9 2.7 2.5 2.5 2.4 2.3 2.2 2.2 2.2 2.2 2.0 1.9 1.9 2.2 2.1 2.0 2.0 2.4 2.3 2.2 1.7 1.9 3.8 2.6 4.2 6.9 4.8 19621962 4.0 3.9 3.8 3.8 3.9 3.7 3.9 3.7 3.5 3.1 2.9 2.7 2.7 2.6 2.5 2.5 2.5 2.5 2.5 2.3 2.2 2.3 2.6 2.5 2.4 2.4 2.9 2.9 2.8 2.5 2.8 4.5 3.6 5.1 7.3 6.4 7.9 19631963 4.0 3.9 3.8 3.8 3.8 3.7 3.9 3.6 3.4 3.1 2.9 2.7 2.7 2.6 2.5 2.5 2.5 2.5 2.5 2.3 2.2 2.3 2.6 2.5 2.4 2.4 2.9 2.8 2.7 2.4 2.7 4.1 3.4 4.5 6.0 5.0 5.0 2.2 19641964 4.0 3.9 3.8 3.8 3.8 3.7 3.9 3.7 3.5 3.1 2.9 2.8 2.8 2.7 2.6 2.6 2.6 2.6 2.6 2.5 2.4 2.4 2.7 2.6 2.6 2.6 3.0 3.0 2.9 2.7 2.9 4.2 3.6 4.6 5.7 4.9 4.9 3.5 4.8 19651965 3.9 3.8 3.7 3.7 3.7 3.6 3.8 3.6 3.3 3.0 2.8 2.7 2.7 2.5 2.5 2.5 2.4 2.4 2.4 2.3 2.2 2.3 2.5 2.4 2.4 2.4 2.8 2.7 2.6 2.4 2.6 3.7 3.1 3.8 4.7 3.8 3.6 2.1 2.1 -0.5 19661966 3.8 3.7 3.6 3.6 3.6 3.5 3.7 3.5 3.2 2.9 2.7 2.6 2.6 2.5 2.4 2.4 2.4 2.3 2.3 2.2 2.1 2.1 2.4 2.3 2.2 2.2 2.6 2.5 2.4 2.2 2.4 3.3 2.7 3.4 4.0 3.2 2.9 1.7 1.5 -0.1 0.2 19671967 3.6 3.5 3.4 3.4 3.4 3.3 3.4 3.2 3.0 2.7 2.5 2.3 2.3 2.2 2.1 2.1 2.1 2.0 2.0 1.9 1.8 1.8 2.0 1.9 1.8 1.8 2.1 2.0 1.9 1.6 1.7 2.5 1.9 2.4 2.9 2.0 1.5 0.3 -0.2 -1.8 -2.4 -5.01968 3.5 3.4 3.3 3.4 3.4 3.2 3.4 3.2 3.0 2.7 2.5 2.3 2.3 2.2 2.2 2.1 2.1 2.1 2.0 1.9 1.8 1.8 2.0 1.9 1.9 1.8 2.1 2.0 1.9 1.7 1.8 2.5 2.0 2.4 2.8 2.1 1.7 0.7 0.4 -0.7 -0.8 -1.31969 3.3 3.2 3.1 3.1 3.1 2.9 3.1 2.9 2.7 2.4 2.2 2.0 2.0 1.9 1.8 1.7 1.7 1.7 1.6 1.5 1.4 1.4 1.6 1.4 1.3 1.3 1.5 1.4 1.3 1.0 1.1 1.7 1.1 1.4 1.7 0.9 0.4 -0.6 -1.1 -2.2 -2.7 -3.61970 3.6 3.5 3.4 3.4 3.4 3.3 3.4 3.2 3.1 2.8 2.6 2.5 2.5 2.3 2.3 2.3 2.2 2.2 2.2 2.1 2.0 2.0 2.2 2.1 2.1 2.1 2.3 2.3 2.2 2.0 2.1 2.8 2.4 2.7 3.1 2.5 2.3 1.6 1.5 0.9 1.2 1.51971 3.7 3.6 3.6 3.6 3.6 3.5 3.6 3.4 3.3 3.0 2.8 2.7 2.7 2.6 2.6 2.5 2.5 2.5 2.5 2.4 2.4 2.4 2.6 2.5 2.5 2.5 2.8 2.7 2.7 2.5 2.7 3.3 3.0 3.4 3.7 3.3 3.1 2.6 2.6 2.3 2.8 3.31972 3.8 3.7 3.6 3.7 3.7 3.6 3.7 3.5 3.4 3.1 2.9 2.8 2.8 2.7 2.7 2.7 2.7 2.7 2.7 2.6 2.5 2.6 2.8 2.7 2.7 2.7 3.0 2.9 2.9 2.8 2.9 3.6 3.2 3.6 4.0 3.6 3.5 3.0 3.1 2.9 3.4 4.01973 3.7 3.7 3.6 3.6 3.6 3.5 3.6 3.5 3.3 3.0 2.9 2.8 2.8 2.7 2.6 2.6 2.6 2.6 2.6 2.5 2.5 2.5 2.7 2.6 2.6 2.6 2.9 2.9 2.8 2.7 2.8 3.4 3.1 3.5 3.8 3.4 3.3 2.9 2.9 2.7 3.1 3.61974 3.6 3.5 3.4 3.4 3.5 3.4 3.5 3.3 3.1 2.9 2.7 2.6 2.6 2.5 2.5 2.4 2.4 2.4 2.4 2.3 2.3 2.3 2.5 2.4 2.4 2.4 2.6 2.6 2.5 2.4 2.5 3.1 2.7 3.0 3.3 2.9 2.8 2.4 2.4 2.1 2.4 2.71975 3.8 3.7 3.7 3.7 3.7 3.6 3.7 3.6 3.4 3.2 3.0 2.9 2.9 2.8 2.8 2.8 2.8 2.8 2.8 2.7 2.7 2.7 2.9 2.9 2.8 2.9 3.1 3.1 3.1 3.0 3.1 3.6 3.4 3.7 4.0 3.7 3.6 3.3 3.3 3.2 3.6 4.01976 4.1 4.0 3.9 4.0 4.0 3.9 4.0 3.9 3.7 3.5 3.4 3.3 3.3 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.4 3.4 3.4 3.4 3.7 3.7 3.7 3.6 3.8 4.3 4.1 4.5 4.8 4.5 4.5 4.3 4.4 4.4 4.9 5.41977 4.0 4.0 3.9 3.9 3.9 3.9 4.0 3.8 3.7 3.5 3.3 3.2 3.2 3.2 3.2 3.1 3.2 3.2 3.2 3.1 3.1 3.2 3.3 3.3 3.3 3.4 3.6 3.6 3.6 3.5 3.7 4.2 4.0 4.3 4.6 4.4 4.3 4.1 4.2 4.2 4.6 5.01978 4.0 3.9 3.8 3.8 3.9 3.8 3.9 3.7 3.6 3.4 3.2 3.2 3.2 3.1 3.1 3.1 3.1 3.1 3.1 3.0 3.0 3.1 3.2 3.2 3.2 3.2 3.5 3.5 3.5 3.4 3.5 4.0 3.8 4.1 4.4 4.1 4.1 3.8 4.0 3.9 4.2 4.61979 3.8 3.7 3.7 3.7 3.7 3.6 3.7 3.6 3.4 3.2 3.1 3.0 3.0 2.9 2.9 2.9 2.9 2.9 2.9 2.8 2.8 2.8 3.0 3.0 2.9 3.0 3.2 3.2 3.2 3.1 3.2 3.6 3.4 3.7 3.9 3.7 3.6 3.4 3.4 3.3 3.6 3.91980 3.7 3.6 3.5 3.6 3.6 3.5 3.6 3.4 3.3 3.1 2.9 2.8 2.9 2.8 2.7 2.7 2.7 2.7 2.7 2.7 2.6 2.7 2.8 2.8 2.8 2.8 3.0 3.0 2.9 2.8 2.9 3.4 3.1 3.4 3.6 3.3 3.3 3.0 3.1 3.0 3.2 3.41981 3.6 3.5 3.5 3.5 3.5 3.4 3.5 3.3 3.2 3.0 2.8 2.8 2.8 2.7 2.7 2.6 2.6 2.6 2.6 2.6 2.5 2.6 2.7 2.7 2.6 2.7 2.8 2.8 2.8 2.7 2.8 3.2 3.0 3.2 3.4 3.1 3.0 2.8 2.8 2.7 2.9 3.11982 4.2 4.1 4.1 4.1 4.1 4.0 4.2 4.0 3.9 3.7 3.6 3.5 3.5 3.5 3.5 3.5 3.5 3.5 3.5 3.5 3.5 3.5 3.7 3.7 3.7 3.7 4.0 4.0 4.0 3.9 4.1 4.5 4.4 4.6 4.9 4.7 4.7 4.5 4.7 4.7 5.0 5.31983 4.2 4.1 4.1 4.1 4.1 4.1 4.2 4.0 3.9 3.7 3.6 3.5 3.6 3.5 3.5 3.5 3.5 3.5 3.6 3.5 3.5 3.6 3.7 3.7 3.7 3.8 4.0 4.0 4.0 4.0 4.1 4.5 4.4 4.6 4.9 4.7 4.7 4.5 4.7 4.7 5.0 5.21984 4.4 4.3 4.3 4.3 4.3 4.3 4.4 4.3 4.2 4.0 3.9 3.8 3.8 3.8 3.8 3.8 3.8 3.8 3.8 3.8 3.8 3.9 4.0 4.0 4.1 4.1 4.3 4.4 4.4 4.4 4.5 4.9 4.8 5.1 5.3 5.2 5.2 5.1 5.2 5.2 5.5 5.81985 4.8 4.7 4.7 4.7 4.8 4.7 4.8 4.7 4.6 4.4 4.3 4.3 4.3 4.3 4.3 4.3 4.3 4.4 4.4 4.4 4.4 4.5 4.7 4.7 4.7 4.8 5.0 5.1 5.1 5.1 5.3 5.7 5.6 5.9 6.2 6.1 6.1 6.1 6.2 6.3 6.7 7.01986 5.0 5.0 4.9 5.0 5.0 5.0 5.1 5.0 4.9 4.7 4.6 4.6 4.6 4.6 4.6 4.6 4.7 4.7 4.8 4.8 4.8 4.9 5.0 5.1 5.1 5.2 5.4 5.5 5.6 5.6 5.7 6.2 6.1 6.4 6.7 6.6 6.7 6.6 6.8 6.9 7.3 7.61987 4.9 4.9 4.9 4.9 4.9 4.9 5.0 4.9 4.8 4.6 4.5 4.5 4.5 4.5 4.5 4.5 4.6 4.6 4.6 4.6 4.7 4.7 4.9 4.9 5.0 5.0 5.3 5.3 5.4 5.4 5.5 6.0 5.9 6.2 6.4 6.3 6.4 6.3 6.5 6.6 6.9 7.21988 5.0 5.0 4.9 5.0 5.0 5.0 5.1 5.0 4.9 4.7 4.6 4.6 4.6 4.6 4.6 4.6 4.7 4.7 4.8 4.8 4.8 4.9 5.0 5.1 5.1 5.2 5.4 5.5 5.5 5.5 5.7 6.1 6.0 6.3 6.6 6.5 6.5 6.5 6.7 6.7 7.1 7.41989 5.2 5.2 5.1 5.2 5.2 5.1 5.3 5.2 5.1 4.9 4.8 4.8 4.8 4.8 4.8 4.9 4.9 5.0 5.0 5.0 5.0 5.1 5.3 5.3 5.4 5.5 5.7 5.7 5.8 5.8 6.0 6.4 6.3 6.6 6.9 6.8 6.9 6.8 7.0 7.1 7.4 7.81990 5.2 5.2 5.1 5.2 5.2 5.2 5.3 5.2 5.1 5.0 4.9 4.8 4.9 4.9 4.9 4.9 4.9 5.0 5.0 5.1 5.1 5.2 5.3 5.4 5.4 5.5 5.7 5.8 5.8 5.8 6.0 6.4 6.3 6.6 6.9 6.8 6.9 6.8 7.0 7.1 7.4 7.71991 5.4 5.4 5.4 5.4 5.4 5.4 5.5 5.4 5.3 5.2 5.1 5.1 5.1 5.1 5.1 5.2 5.2 5.3 5.3 5.3 5.4 5.5 5.6 5.7 5.7 5.8 6.0 6.1 6.2 6.2 6.4 6.8 6.7 7.0 7.3 7.2 7.3 7.3 7.4 7.5 7.9 8.21992 5.5 5.4 5.4 5.5 5.5 5.5 5.6 5.5 5.4 5.3 5.2 5.2 5.2 5.2 5.2 5.3 5.3 5.4 5.4 5.4 5.5 5.5 5.7 5.8 5.8 5.9 6.1 6.2 6.3 6.3 6.5 6.8 6.8 7.1 7.3 7.3 7.3 7.3 7.5 7.6 7.9 8.21993 5.6 5.6 5.5 5.6 5.6 5.6 5.7 5.6 5.5 5.4 5.3 5.3 5.4 5.3 5.4 5.4 5.5 5.5 5.6 5.6 5.6 5.7 5.9 5.9 6.0 6.1 6.3 6.4 6.4 6.5 6.6 7.0 7.0 7.2 7.5 7.4 7.5 7.5 7.7 7.8 8.1 8.41994 5.4 5.4 5.3 5.4 5.4 5.4 5.5 5.4 5.3 5.2 5.1 5.1 5.1 5.1 5.1 5.2 5.2 5.3 5.3 5.3 5.3 5.4 5.6 5.6 5.7 5.8 6.0 6.0 6.1 6.1 6.2 6.6 6.6 6.8 7.0 7.0 7.1 7.0 7.2 7.3 7.5 7.81995 5.7 5.6 5.6 5.7 5.7 5.7 5.8 5.7 5.6 5.5 5.4 5.4 5.5 5.4 5.5 5.5 5.6 5.6 5.7 5.7 5.7 5.8 6.0 6.0 6.1 6.2 6.4 6.5 6.5 6.6 6.7 7.1 7.0 7.3 7.5 7.5 7.6 7.6 7.7 7.8 8.1 8.41996 5.6 5.6 5.6 5.6 5.6 5.6 5.7 5.6 5.6 5.4 5.4 5.3 5.4 5.4 5.4 5.4 5.5 5.5 5.6 5.6 5.6 5.7 5.9 5.9 6.0 6.1 6.3 6.3 6.4 6.4 6.6 6.9 6.9 7.1 7.4 7.3 7.4 7.4 7.5 7.6 7.9 8.21997 5.7 5.7 5.7 5.7 5.7 5.7 5.8 5.7 5.7 5.5 5.5 5.5 5.5 5.5 5.5 5.6 5.6 5.7 5.7 5.7 5.8 5.9 6.0 6.1 6.1 6.2 6.4 6.5 6.5 6.6 6.7 7.1 7.0 7.3 7.5 7.5 7.5 7.5 7.7 7.8 8.1 8.31998 5.8 5.8 5.7 5.8 5.8 5.8 5.9 5.8 5.7 5.6 5.6 5.5 5.6 5.6 5.6 5.7 5.7 5.8 5.8 5.8 5.9 5.9 6.1 6.2 6.2 6.3 6.5 6.6 6.6 6.7 6.8 7.2 7.1 7.4 7.6 7.6 7.6 7.6 7.8 7.9 8.1 8.41999 5.6 5.6 5.5 5.6 5.6 5.6 5.7 5.6 5.5 5.4 5.3 5.3 5.4 5.4 5.4 5.4 5.5 5.5 5.6 5.6 5.6 5.7 5.8 5.9 5.9 6.0 6.2 6.2 6.3 6.3 6.5 6.8 6.8 7.0 7.2 7.1 7.2 7.2 7.3 7.4 7.6 7.92000 5.7 5.7 5.6 5.7 5.7 5.7 5.8 5.7 5.6 5.5 5.5 5.4 5.5 5.5 5.5 5.5 5.6 5.6 5.7 5.7 5.7 5.8 6.0 6.0 6.1 6.1 6.3 6.4 6.4 6.5 6.6 6.9 6.9 7.1 7.3 7.3 7.3 7.3 7.5 7.5 7.8 8.02001 5.7 5.7 5.7 5.7 5.8 5.7 5.9 5.8 5.7 5.6 5.5 5.5 5.6 5.6 5.6 5.6 5.7 5.7 5.8 5.8 5.8 5.9 6.1 6.1 6.1 6.2 6.4 6.5 6.5 6.6 6.7 7.0 7.0 7.2 7.4 7.4 7.4 7.4 7.6 7.6 7.9 8.12002 5.9 5.9 5.8 5.9 5.9 5.9 6.0 5.9 5.9 5.7 5.7 5.7 5.7 5.7 5.7 5.8 5.8 5.9 5.9 6.0 6.0 6.1 6.2 6.3 6.3 6.4 6.6 6.7 6.7 6.8 6.9 7.2 7.2 7.4 7.6 7.6 7.6 7.6 7.8 7.9 8.1 8.32003 5.9 5.8 5.8 5.9 5.9 5.9 6.0 5.9 5.9 5.7 5.7 5.7 5.7 5.7 5.7 5.8 5.8 5.9 5.9 5.9 6.0 6.1 6.2 6.3 6.3 6.4 6.6 6.6 6.7 6.7 6.9 7.2 7.1 7.4 7.5 7.5 7.6 7.6 7.7 7.8 8.0 8.22004 5.9 5.9 5.9 5.9 5.9 5.9 6.0 6.0 5.9 5.8 5.7 5.7 5.8 5.8 5.8 5.8 5.9 5.9 6.0 6.0 6.0 6.1 6.3 6.3 6.3 6.4 6.6 6.7 6.7 6.8 6.9 7.2 7.2 7.4 7.6 7.5 7.6 7.6 7.7 7.8 8.0 8.22005 5.9 5.9 5.9 5.9 5.9 5.9 6.0 6.0 5.9 5.8 5.7 5.7 5.8 5.8 5.8 5.8 5.9 5.9 6.0 6.0 6.0 6.1 6.2 6.3 6.3 6.4 6.6 6.7 6.7 6.7 6.9 7.2 7.1 7.3 7.5 7.5 7.6 7.6 7.7 7.8 8.0 8.22006 5.9 5.8 5.8 5.9 5.9 5.9 6.0 5.9 5.9 5.7 5.7 5.7 5.7 5.7 5.7 5.8 5.8 5.9 5.9 5.9 6.0 6.0 6.2 6.2 6.3 6.4 6.5 6.6 6.7 6.7 6.8 7.1 7.1 7.3 7.4 7.4 7.5 7.5 7.6 7.7 7.9 8.12007 5.8 5.8 5.8 5.8 5.9 5.8 5.9 5.9 5.8 5.7 5.7 5.6 5.7 5.7 5.7 5.7 5.8 5.8 5.9 5.9 5.9 6.0 6.1 6.2 6.2 6.3 6.5 6.5 6.6 6.6 6.7 7.0 7.0 7.2 7.3 7.3 7.4 7.3 7.5 7.5 7.7 7.92008 5.9 5.8 5.8 5.9 5.9 5.9 6.0 5.9 5.8 5.7 5.7 5.7 5.7 5.7 5.7 5.8 5.8 5.9 5.9 5.9 6.0 6.0 6.2 6.2 6.3 6.3 6.5 6.6 6.6 6.6 6.8 7.0 7.0 7.2 7.4 7.3 7.4 7.4 7.5 7.6 7.8 7.92009 5.8 5.8 5.8 5.8 5.9 5.8 5.9 5.9 5.8 5.7 5.7 5.6 5.7 5.7 5.7 5.7 5.8 5.8 5.9 5.9 5.9 6.0 6.1 6.2 6.2 6.3 6.4 6.5 6.5 6.6 6.7 7.0 6.9 7.1 7.3 7.2 7.3 7.3 7.4 7.5 7.6 7.82010 5.9 5.9 5.9 5.9 5.9 5.9 6.0 6.0 5.9 5.8 5.7 5.7 5.8 5.8 5.8 5.8 5.9 5.9 6.0 6.0 6.0 6.1 6.2 6.3 6.3 6.4 6.5 6.6 6.6 6.7 6.8 7.1 7.0 7.2 7.4 7.3 7.4 7.4 7.5 7.6 7.7 7.92011 6.0 6.0 6.0 6.0 6.1 6.1 6.2 6.1 6.0 5.9 5.9 5.9 5.9 5.9 6.0 6.0 6.0 6.1 6.1 6.2 6.2 6.3 6.4 6.4 6.5 6.6 6.7 6.8 6.8 6.9 7.0 7.2 7.2 7.4 7.6 7.5 7.6 7.6 7.7 7.8 8.0 8.12012 6.1 6.1 6.1 6.1 6.1 6.1 6.2 6.2 6.1 6.0 6.0 5.9 6.0 6.0 6.0 6.1 6.1 6.2 6.2 6.2 6.3 6.3 6.5 6.5 6.6 6.6 6.8 6.8 6.9 6.9 7.0 7.3 7.3 7.5 7.6 7.6 7.7 7.7 7.8 7.8 8.0 8.2

1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967

19681968 -0.3 19691969 -2.7 -5.1 19701970 2.0 3.2 12.1 19711971 4.7 6.4 12.7 13.2 19721972 4.9 6.2 10.3 9.4 5.7 19731973 3.9 4.7 7.3 5.8 2.2 -1.1 19741974 3.9 4.7 6.7 5.4 2.9 1.6 4.4 19751975 4.6 5.3 7.1 6.2 4.5 4.1 6.7 9.2 19761976 5.9 6.7 8.5 7.9 6.8 7.1 10.0 12.9 16.8 19771977 5.2 5.8 7.3 6.6 5.5 5.5 7.2 8.2 7.7 -0.7 19781978 4.6 5.1 6.3 5.6 4.5 4.4 5.5 5.8 4.7 -0.9 -1.2 19791979 4.1 4.5 5.5 4.8 3.8 3.5 4.3 4.3 3.2 -1.0 -1.2 -1.2 19801980 3.5 3.8 4.6 3.9 2.9 2.6 3.1 2.9 1.7 -1.8 -2.1 -2.6 -4.0 19811981 3.3 3.6 4.4 3.7 2.8 2.5 3.0 2.8 1.7 -1.0 -1.1 -1.1 -1.1 1.9 19821982 5.5 5.9 6.8 6.4 5.8 5.8 6.6 6.8 6.5 4.9 6.0 7.9 11.1 19.6 40.4 19831983 5.2 5.5 6.3 5.9 5.3 5.3 6.0 6.1 5.8 4.3 5.1 6.4 8.4 12.9 18.9 0.7 19841984 5.8 6.1 6.9 6.6 6.1 6.1 6.8 7.0 6.8 5.6 6.6 7.9 9.8 13.6 17.8 7.9 15.5 19851985 7.0 7.5 8.3 8.1 7.7 7.8 8.6 9.0 9.0 8.2 9.3 10.9 13.1 16.8 20.9 15.1 23.0 31.0 19861986 7.9 8.3 9.2 9.0 8.7 9.0 9.8 10.2 10.3 9.7 10.9 12.5 14.6 18.1 21.6 17.3 23.5 27.7 24.5 19871987 7.3 7.7 8.5 8.3 8.0 8.1 8.8 9.2 9.2 8.5 9.5 10.7 12.3 14.9 17.2 13.0 16.3 16.6 10.0 -2.7 19881988 7.4 7.8 8.6 8.4 8.1 8.2 8.9 9.2 9.2 8.6 9.5 10.6 12.0 14.2 16.1 12.5 15.0 14.8 9.9 3.3 9.7 19891989 7.9 8.3 9.0 8.9 8.6 8.8 9.4 9.8 9.8 9.3 10.2 11.3 12.6 14.6 16.3 13.3 15.5 15.5 11.9 8.0 13.8 18.1 19901990 7.8 8.2 8.9 8.7 8.5 8.6 9.2 9.6 9.6 9.1 9.9 10.9 12.0 13.8 15.2 12.3 14.1 13.9 10.7 7.6 11.2 12.0 6.2 19911991 8.3 8.7 9.3 9.2 9.0 9.2 9.8 10.1 10.2 9.7 10.5 11.5 12.6 14.2 15.6 13.1 14.7 14.6 12.1 9.8 13.2 14.4 12.5 19.3 19921992 8.3 8.7 9.3 9.2 9.0 9.2 9.8 10.1 10.1 9.7 10.4 11.3 12.4 13.8 15.0 12.7 14.1 14.0 11.7 9.7 12.4 13.1 11.5 14.2 9.4 19931993 8.7 9.1 9.7 9.6 9.4 9.6 10.2 10.5 10.6 10.2 10.9 11.8 12.8 14.2 15.3 13.2 14.5 14.4 12.5 10.9 13.4 14.1 13.1 15.6 13.7 18.2 19941994 8.0 8.4 8.9 8.8 8.6 8.7 9.2 9.5 9.5 9.1 9.7 10.4 11.3 12.4 13.3 11.3 12.3 12.0 10.1 8.4 10.1 10.1 8.6 9.2 6.1 4.4 -7.8 19951995 8.8 9.1 9.7 9.6 9.5 9.7 10.2 10.5 10.5 10.2 10.8 11.6 12.4 13.6 14.5 12.7 13.8 13.7 12.1 10.8 12.6 13.0 12.1 13.4 12.0 12.8 10.2 31.7 19961996 8.4 8.8 9.3 9.2 9.1 9.2 9.7 9.9 9.9 9.6 10.2 10.9 11.6 12.7 13.4 11.7 12.6 12.4 10.8 9.5 11.0 11.1 10.2 10.9 9.3 9.2 6.4 14.2 -0.9 19971997 8.7 9.0 9.5 9.4 9.3 9.5 9.9 10.2 10.2 9.9 10.5 11.1 11.8 12.8 13.6 12.0 12.8 12.6 11.2 10.1 11.5 11.7 10.9 11.6 10.3 10.5 8.7 14.8 7.1 15.9 19981998 8.8 9.1 9.7 9.6 9.4 9.6 10.0 10.3 10.3 10.0 10.6 11.2 11.9 12.9 13.5 12.0 12.8 12.7 11.4 10.3 11.6 11.8 11.1 11.7 10.7 10.9 9.5 14.3 9.1 14.5 13.1 19991999 8.2 8.5 9.0 8.9 8.7 8.8 9.2 9.4 9.5 9.1 9.6 10.2 10.8 11.6 12.2 10.7 11.3 11.1 9.8 8.7 9.7 9.7 8.9 9.2 8.0 7.8 6.2 9.2 4.3 6.0 1.4 -9.0 20002000 8.6 8.9 9.4 9.3 9.1 9.3 9.7 9.9 9.9 9.6 10.1 10.6 11.2 12.1 12.6 11.3 11.9 11.7 10.5 9.6 10.6 10.7 10.0 10.4 9.5 9.5 8.3 11.2 7.5 9.7 7.7 5.2 21.5 20012001 8.4 8.7 9.2 9.1 9.0 9.1 9.5 9.6 9.7 9.4 9.8 10.3 10.9 11.7 12.2 10.8 11.4 11.2 10.1 9.2 10.1 10.1 9.5 9.8 8.9 8.8 7.7 10.1 6.9 8.5 6.7 4.7 12.2 3.7 20022002 8.7 9.0 9.4 9.4 9.2 9.4 9.7 9.9 10.0 9.7 10.1 10.6 11.2 11.9 12.4 11.2 11.8 11.6 10.5 9.7 10.6 10.6 10.1 10.4 9.7 9.7 8.8 11.0 8.4 10.0 8.8 7.8 14.1 10.5 17.8 20032003 8.5 8.8 9.2 9.1 9.0 9.1 9.4 9.6 9.6 9.4 9.8 10.3 10.8 11.4 11.9 10.7 11.2 11.0 10.0 9.2 10.0 10.0 9.5 9.7 8.9 8.9 8.0 9.9 7.5 8.7 7.6 6.5 10.8 7.4 9.3 1.4 20042004 8.5 8.7 9.2 9.1 9.0 9.1 9.4 9.6 9.6 9.4 9.7 10.2 10.7 11.3 11.8 10.6 11.1 10.9 9.9 9.2 9.9 9.9 9.4 9.6 8.9 8.9 8.1 9.8 7.6 8.7 7.7 6.8 10.3 7.7 9.1 4.9 8.5 20052005 8.5 8.7 9.1 9.1 8.9 9.0 9.4 9.5 9.5 9.3 9.7 10.1 10.6 11.2 11.6 10.5 10.9 10.7 9.8 9.1 9.8 9.8 9.3 9.5 8.8 8.8 8.0 9.6 7.6 8.6 7.7 7.0 9.9 7.7 8.7 5.9 8.2 7.8 20062006 8.3 8.5 8.9 8.8 8.7 8.8 9.1 9.3 9.3 9.0 9.4 9.8 10.2 10.8 11.2 10.1 10.5 10.3 9.4 8.7 9.3 9.3 8.8 9.0 8.3 8.2 7.5 8.9 7.0 7.8 7.0 6.2 8.6 6.6 7.2 4.7 5.8 4.4 1.2 20072007 8.3 8.6 8.9 8.9 8.7 8.8 9.1 9.3 9.3 9.0 9.4 9.8 10.2 10.7 11.1 10.1 10.5 10.3 9.4 8.7 9.3 9.3 8.9 9.0 8.4 8.3 7.7 8.9 7.2 8.0 7.3 6.6 8.8 7.1 7.6 5.7 6.8 6.2 5.4 9.9 20082008 8.7 9.0 9.3 9.3 9.2 9.3 9.6 9.7 9.7 9.5 9.9 10.3 10.7 11.3 11.6 10.6 11.1 10.9 10.1 9.5 10.1 10.1 9.7 9.9 9.4 9.4 8.8 10.1 8.6 9.4 8.8 8.4 10.5 9.2 10.1 8.8 10.3 10.8 11.8 17.6 25.8 20092009 8.1 8.3 8.7 8.6 8.4 8.5 8.8 8.9 8.9 8.7 9.0 9.4 9.7 10.2 10.5 9.6 9.9 9.7 8.9 8.3 8.8 8.7 8.3 8.4 7.8 7.7 7.1 8.2 6.7 7.3 6.6 6.1 7.7 6.3 6.6 5.1 5.7 5.1 4.5 5.6 3.5 -14.9 20102010 8.1 8.3 8.7 8.6 8.5 8.6 8.8 9.0 9.0 8.7 9.0 9.4 9.7 10.2 10.5 9.6 9.9 9.7 8.9 8.3 8.9 8.8 8.4 8.5 8.0 7.9 7.3 8.3 6.9 7.5 6.9 6.4 7.9 6.6 7.0 5.7 6.3 5.9 5.6 6.7 5.6 -3.2 10.1 20112011 8.6 8.8 9.1 9.0 8.9 9.0 9.3 9.4 9.5 9.3 9.6 9.9 10.3 10.8 11.1 10.2 10.5 10.4 9.6 9.1 9.6 9.6 9.2 9.4 8.9 8.9 8.4 9.4 8.1 8.8 8.3 7.9 9.5 8.4 8.9 8.0 8.8 8.9 9.0 10.7 10.9 6.3 18.8 28.2 20122012 8.4 8.6 9.0 8.9 8.8 8.9 9.2 9.3 9.3 9.1 9.4 9.7 10.1 10.5 10.8 9.9 10.3 10.1 9.4 8.8 9.3 9.3 9.0 9.1 8.6 8.6 8.1 9.1 7.9 8.4 7.9 7.6 9.0 8.0 8.4 7.5 8.2 8.2 8.2 9.4 9.3 5.6 13.4 15.1 3.3

1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

19681968 2.6 19691969 -2.9 -8.1 19701970 3.7 4.3 18.4 19711971 5.5 6.5 14.6 11.0 19721972 5.8 6.7 12.1 9.1 7.3 19731973 5.0 5.6 9.3 6.4 4.2 1.1 19741974 3.9 4.1 6.7 3.9 1.7 -1.0 -3.1 19751975 5.1 5.5 8.0 6.0 4.8 4.0 5.4 14.6 19761976 6.6 7.1 9.4 8.0 7.4 7.5 9.7 16.6 18.6 19771977 6.1 6.5 8.4 7.1 6.4 6.3 7.6 11.4 9.9 1.7 19781978 5.5 5.8 7.5 6.2 5.5 5.2 6.0 8.4 6.4 0.8 -0.1 19791979 4.7 4.8 6.2 5.0 4.2 3.8 4.3 5.8 3.7 -0.9 -2.2 -4.2 19801980 4.1 4.2 5.4 4.2 3.4 3.0 3.2 4.3 2.4 -1.3 -2.3 -3.4 -2.6 19811981 3.7 3.8 4.9 3.7 3.0 2.5 2.7 3.6 1.8 -1.2 -2.0 -2.6 -1.8 -1.0 19821982 6.0 6.2 7.4 6.6 6.2 6.1 6.6 7.9 7.0 5.1 5.8 7.4 11.5 19.3 43.8 19831983 5.9 6.1 7.2 6.4 6.0 5.9 6.4 7.5 6.7 5.1 5.6 6.8 9.8 14.2 22.7 4.7 19841984 6.5 6.7 7.8 7.1 6.8 6.8 7.3 8.4 7.7 6.4 7.1 8.4 11.1 14.8 20.6 10.4 16.4 19851985 7.7 8.0 9.1 8.5 8.4 8.5 9.1 10.3 9.8 8.9 9.8 11.3 14.1 17.8 23.1 16.8 23.4 30.9 19861986 8.3 8.7 9.7 9.2 9.1 9.2 9.9 11.0 10.7 9.9 10.9 12.4 14.9 18.2 22.4 17.6 22.2 25.3 19.8 19871987 7.9 8.2 9.2 8.6 8.5 8.6 9.1 10.1 9.8 9.0 9.7 10.9 12.9 15.3 18.3 13.8 16.2 16.1 9.3 -0.3 19881988 8.0 8.3 9.2 8.8 8.6 8.7 9.2 10.2 9.8 9.1 9.8 10.9 12.7 14.7 17.2 13.3 15.1 14.7 9.8 5.1 10.7 19891989 8.4 8.7 9.6 9.1 9.0 9.1 9.7 10.6 10.3 9.7 10.3 11.3 13.0 14.9 17.1 13.7 15.2 15.0 11.4 8.7 13.4 16.2 19901990 8.3 8.6 9.4 9.0 8.9 9.0 9.5 10.3 10.0 9.4 10.1 11.0 12.4 14.1 15.9 12.8 14.0 13.6 10.4 8.2 11.2 11.4 6.8 19911991 8.8 9.0 9.9 9.5 9.4 9.5 10.0 10.9 10.6 10.1 10.7 11.6 13.0 14.6 16.3 13.6 14.7 14.5 12.0 10.4 13.3 14.2 13.1 19.9 19921992 8.8 9.1 9.9 9.5 9.4 9.5 10.0 10.8 10.6 10.1 10.6 11.5 12.8 14.1 15.6 13.1 14.1 13.8 11.6 10.3 12.5 13.0 11.9 14.5 9.4 19931993 9.0 9.2 10.0 9.7 9.6 9.7 10.2 10.9 10.7 10.2 10.8 11.6 12.8 14.1 15.4 13.1 14.0 13.8 11.8 10.7 12.6 13.0 12.2 14.1 11.3 13.2 19941994 8.3 8.5 9.3 8.9 8.8 8.9 9.3 9.9 9.7 9.2 9.7 10.3 11.3 12.4 13.5 11.3 11.9 11.5 9.5 8.3 9.6 9.4 8.1 8.4 4.8 2.6 -7.0 19951995 8.9 9.2 9.9 9.6 9.5 9.6 10.0 10.7 10.5 10.1 10.5 11.2 12.2 13.3 14.4 12.4 13.1 12.8 11.1 10.2 11.5 11.7 10.9 11.8 9.8 10.0 8.4 26.4 19961996 8.7 8.9 9.6 9.2 9.2 9.2 9.6 10.2 10.0 9.6 10.0 10.6 11.6 12.5 13.5 11.6 12.1 11.8 10.2 9.3 10.4 10.3 9.5 10.0 8.1 7.8 6.0 13.2 1.4 19971997 8.8 9.0 9.7 9.4 9.3 9.4 9.7 10.3 10.1 9.8 10.2 10.7 11.6 12.5 13.4 11.7 12.2 11.9 10.4 9.6 10.6 10.6 9.9 10.4 8.9 8.8 7.7 13.1 7.0 12.9 19981998 8.9 9.1 9.7 9.4 9.4 9.4 9.8 10.4 10.2 9.8 10.2 10.7 11.6 12.4 13.3 11.6 12.1 11.8 10.4 9.7 10.6 10.6 10.0 10.4 9.1 9.1 8.3 12.5 8.3 11.8 10.8 19991999 8.3 8.5 9.1 8.8 8.7 8.8 9.1 9.6 9.4 9.0 9.3 9.8 10.6 11.3 12.0 10.4 10.8 10.4 9.0 8.3 9.0 8.9 8.1 8.3 6.9 6.6 5.5 8.2 4.1 5.0 1.2 -7.5 20002000 8.4 8.6 9.2 8.9 8.9 8.9 9.2 9.7 9.5 9.1 9.5 9.9 10.7 11.4 12.1 10.5 10.9 10.5 9.3 8.6 9.3 9.2 8.6 8.7 7.6 7.3 6.5 9.0 5.8 6.9 5.0 2.2 12.9 20012001 8.5 8.7 9.3 9.0 8.9 9.0 9.3 9.7 9.6 9.2 9.5 10.0 10.7 11.3 12.0 10.5 10.9 10.5 9.4 8.7 9.4 9.3 8.7 8.9 7.9 7.7 7.0 9.2 6.6 7.6 6.4 4.9 11.7 10.6 20022002 8.7 8.9 9.5 9.2 9.1 9.2 9.5 10.0 9.8 9.5 9.8 10.2 10.9 11.6 12.2 10.8 11.1 10.9 9.8 9.2 9.8 9.8 9.3 9.5 8.6 8.5 8.0 10.1 7.9 9.1 8.3 7.7 13.3 13.5 16.3 20032003 8.6 8.8 9.3 9.1 9.0 9.1 9.4 9.8 9.6 9.3 9.6 10.0 10.7 11.3 11.9 10.5 10.8 10.6 9.5 8.9 9.5 9.5 9.0 9.2 8.3 8.2 7.8 9.5 7.6 8.5 7.8 7.2 11.2 10.7 10.7 5.3 20042004 8.6 8.8 9.3 9.1 9.0 9.1 9.3 9.8 9.6 9.3 9.6 10.0 10.6 11.2 11.7 10.5 10.7 10.5 9.5 8.9 9.5 9.4 9.0 9.1 8.4 8.3 7.8 9.5 7.7 8.5 7.9 7.4 10.7 10.2 10.0 7.0 8.7 20052005 8.6 8.7 9.2 9.0 8.9 9.0 9.2 9.6 9.5 9.2 9.5 9.8 10.4 11.0 11.5 10.3 10.5 10.2 9.3 8.8 9.3 9.2 8.8 8.9 8.2 8.1 7.7 9.1 7.5 8.2 7.7 7.2 9.9 9.3 9.0 6.6 7.3 5.9 20062006 8.4 8.6 9.1 8.8 8.7 8.8 9.0 9.4 9.3 9.0 9.2 9.6 10.1 10.6 11.1 10.0 10.2 9.9 9.0 8.5 9.0 8.9 8.5 8.6 7.8 7.7 7.3 8.6 7.1 7.7 7.2 6.7 8.9 8.3 7.8 5.8 5.9 4.5 3.2 20072007 8.3 8.4 8.9 8.6 8.6 8.6 8.8 9.2 9.1 8.8 9.0 9.3 9.8 10.3 10.8 9.6 9.9 9.6 8.7 8.2 8.6 8.5 8.1 8.2 7.5 7.4 7.0 8.1 6.7 7.2 6.7 6.2 8.1 7.4 6.9 5.1 5.1 3.9 2.9 2.6 20082008 8.3 8.4 8.9 8.6 8.6 8.6 8.8 9.2 9.0 8.8 9.0 9.3 9.8 10.3 10.7 9.6 9.8 9.6 8.7 8.2 8.6 8.5 8.2 8.2 7.6 7.5 7.1 8.2 6.9 7.4 6.9 6.5 8.2 7.6 7.2 5.7 5.8 5.1 4.8 5.6 8.8 20092009 8.1 8.3 8.7 8.5 8.4 8.5 8.7 9.0 8.9 8.6 8.8 9.1 9.6 10.0 10.4 9.4 9.5 9.3 8.5 8.0 8.4 8.3 7.9 8.0 7.3 7.2 6.8 7.8 6.6 7.0 6.6 6.2 7.6 7.1 6.6 5.3 5.3 4.7 4.4 4.8 5.9 3.0 20102010 8.2 8.4 8.8 8.6 8.5 8.6 8.8 9.1 9.0 8.7 8.9 9.2 9.7 10.1 10.5 9.5 9.7 9.4 8.6 8.2 8.6 8.5 8.1 8.2 7.6 7.5 7.2 8.1 7.0 7.4 7.0 6.7 8.1 7.6 7.3 6.2 6.3 5.9 5.9 6.6 8.0 7.6 12.4 20112011 8.5 8.6 9.0 8.8 8.8 8.8 9.0 9.3 9.2 8.9 9.2 9.5 9.9 10.3 10.7 9.8 9.9 9.7 9.0 8.5 8.9 8.9 8.5 8.6 8.1 8.0 7.7 8.7 7.7 8.1 7.7 7.5 8.9 8.5 8.3 7.4 7.7 7.6 7.9 8.8 10.4 11.0 15.2 17.9 20122012 8.5 8.6 9.1 8.9 8.8 8.8 9.0 9.4 9.2 9.0 9.2 9.5 9.9 10.4 10.7 9.8 10.0 9.7 9.0 8.6 9.0 8.9 8.6 8.7 8.2 8.1 7.9 8.8 7.8 8.2 7.9 7.7 9.0 8.7 8.5 7.8 8.0 8.0 8.3 9.1 10.5 10.9 13.6 14.3 10.7

1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

Page 23: Dfa matrix book us_2013 - copy

DIMENSIONAL FUND ADVISORS MATRIX BOOK 201342 43

20032003 1.2 20042004 1.3 1.4 20052005 1.9 2.3 3.3 20062006 2.7 3.3 4.2 5.1 20072007 3.3 3.8 4.6 5.3 5.5 20082008 3.2 3.7 4.2 4.6 4.3 3.1 20092009 2.8 3.1 3.5 3.5 3.0 1.8 0.4 20102010 2.5 2.7 2.9 2.9 2.3 1.3 0.3 0.2 20112011 2.3 2.4 2.5 2.4 1.9 1.0 0.3 0.2 0.2 20122012 2.0 2.1 2.2 2.1 1.6 0.8 0.3 0.2 0.2 0.2

2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

Data provided by barclays bank plc.

BARCLAyS mUNICIPAL BOND INDEX

1980–2012: Total Returns (%)

19801980 -8.9 19811981 -9.6 -10.2 19821982 4.9 12.6 41.3 19831983 5.7 11.1 23.6 8.1 19841984 6.6 10.9 19.0 9.3 10.5 19851985 8.8 12.7 19.3 12.8 15.2 20.0 19861986 10.2 13.8 19.3 14.4 16.5 19.7 19.3 19871987 9.1 11.9 16.1 11.7 12.6 13.3 10.0 1.5 19881988 9.2 11.7 15.3 11.4 12.1 12.5 10.1 5.7 10.2 19891989 9.4 11.6 14.7 11.3 11.9 12.1 10.3 7.4 10.5 10.8 19901990 9.2 11.2 13.8 10.8 11.2 11.3 9.7 7.4 9.4 9.0 7.3 19911991 9.4 11.3 13.7 11.0 11.3 11.4 10.1 8.3 10.1 10.1 9.7 12.1 19921992 9.4 11.1 13.2 10.7 11.0 11.1 9.9 8.4 9.8 9.7 9.4 10.5 8.8 19931993 9.7 11.3 13.3 11.1 11.4 11.5 10.5 9.3 10.6 10.7 10.7 11.9 11.7 14.7 19941994 8.7 10.1 11.8 9.6 9.8 9.7 8.6 7.3 8.2 7.9 7.3 7.3 5.8 4.3 -5.2 19951995 9.2 10.5 12.2 10.2 10.4 10.4 9.5 8.4 9.3 9.2 8.9 9.3 8.6 8.5 5.5 17.4 19961996 8.9 10.1 11.7 9.8 9.9 9.9 9.0 8.0 8.8 8.6 8.3 8.5 7.7 7.5 5.2 10.7 4.4 19971997 8.9 10.1 11.5 9.8 9.9 9.8 9.0 8.1 8.8 8.7 8.4 8.6 8.0 7.8 6.2 10.2 6.8 9.2 19981998 8.8 9.9 11.2 9.5 9.6 9.6 8.8 8.0 8.6 8.4 8.2 8.3 7.8 7.6 6.2 9.3 6.7 7.8 6.5 19991999 8.2 9.2 10.4 8.8 8.9 8.8 8.0 7.2 7.7 7.4 7.1 7.1 6.5 6.1 4.8 6.9 4.4 4.4 2.1 -2.1 20002000 8.4 9.3 10.5 9.0 9.0 8.9 8.2 7.5 8.0 7.8 7.5 7.5 7.0 6.8 5.7 7.7 5.8 6.2 5.2 4.6 11.7 20012001 8.2 9.1 10.2 8.8 8.8 8.7 8.0 7.3 7.8 7.6 7.3 7.3 6.9 6.6 5.7 7.3 5.7 6.0 5.2 4.8 8.4 5.1 20022002 8.3 9.2 10.2 8.8 8.9 8.8 8.1 7.5 7.9 7.7 7.5 7.5 7.1 6.9 6.1 7.6 6.3 6.6 6.1 6.0 8.8 7.3 9.6 20032003 8.2 9.0 10.0 8.7 8.7 8.6 8.0 7.3 7.7 7.6 7.3 7.3 7.0 6.8 6.0 7.3 6.2 6.4 5.9 5.8 7.9 6.7 7.4 5.3 20042004 8.0 8.8 9.7 8.5 8.5 8.4 7.8 7.2 7.5 7.4 7.1 7.1 6.8 6.6 5.9 7.1 6.0 6.2 5.7 5.6 7.2 6.1 6.4 4.9 4.5 20052005 7.8 8.6 9.4 8.2 8.2 8.1 7.6 7.0 7.3 7.1 6.9 6.9 6.5 6.3 5.7 6.7 5.7 5.9 5.4 5.3 6.6 5.6 5.7 4.4 4.0 3.5 20062006 7.7 8.4 9.3 8.1 8.1 8.0 7.4 6.9 7.2 7.0 6.8 6.8 6.4 6.2 5.6 6.6 5.6 5.8 5.4 5.2 6.3 5.5 5.5 4.5 4.3 4.2 4.8 20072007 7.6 8.2 9.0 7.9 7.9 7.8 7.3 6.7 7.0 6.8 6.6 6.6 6.2 6.0 5.5 6.3 5.4 5.5 5.2 5.0 6.0 5.2 5.2 4.3 4.0 3.9 4.1 3.4 20082008 7.2 7.8 8.6 7.5 7.5 7.3 6.8 6.3 6.5 6.3 6.1 6.0 5.7 5.5 4.9 5.7 4.8 4.8 4.5 4.3 5.0 4.2 4.0 3.1 2.7 2.3 1.9 0.4 -2.5 20092009 7.4 8.0 8.7 7.7 7.7 7.6 7.1 6.6 6.8 6.6 6.4 6.4 6.1 5.9 5.4 6.1 5.4 5.4 5.1 5.0 5.8 5.1 5.1 4.5 4.3 4.3 4.5 4.4 4.9 12.9 20102010 7.2 7.8 8.5 7.5 7.5 7.3 6.9 6.4 6.6 6.4 6.2 6.2 5.9 5.7 5.2 5.9 5.2 5.2 4.9 4.8 5.4 4.8 4.8 4.2 4.1 4.0 4.1 3.9 4.1 7.5 2.4 20112011 7.3 7.9 8.6 7.6 7.6 7.5 7.0 6.5 6.8 6.6 6.4 6.4 6.1 6.0 5.5 6.2 5.5 5.6 5.3 5.2 5.9 5.4 5.4 4.9 4.9 4.9 5.2 5.2 5.7 8.6 6.5 10.7 20122012 7.3 7.9 8.5 7.6 7.5 7.4 7.0 6.6 6.8 6.6 6.4 6.4 6.1 6.0 5.6 6.2 5.6 5.7 5.4 5.3 5.9 5.5 5.5 5.1 5.1 5.2 5.4 5.5 5.9 8.1 6.6 8.7 6.8

1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

1980

$10

1926 2012

Data provided by barclays bank plc.

19761976 15.6 19771977 9.2 3.0 19781978 6.5 2.2 1.4 19791979 5.3 2.1 1.7 1.9 19801980 4.8 2.3 2.0 2.3 2.7 19811981 5.0 3.0 3.0 3.6 4.4 6.2 19821982 8.6 7.5 8.4 10.2 13.1 18.7 32.6 19831983 8.6 7.6 8.4 9.8 11.9 15.1 19.9 8.4 19841984 9.3 8.5 9.3 10.7 12.5 15.1 18.3 11.7 15.1 19851985 10.5 9.9 10.8 12.3 14.1 16.5 19.2 15.1 18.6 22.1 19861986 10.9 10.5 11.3 12.6 14.3 16.3 18.4 15.1 17.5 18.7 15.3 19871987 10.2 9.7 10.4 11.5 12.7 14.3 15.7 12.5 13.6 13.1 8.8 2.7 19881988 10.0 9.6 10.2 11.1 12.2 13.4 14.5 11.7 12.4 11.8 8.5 5.3 7.9 19891989 10.4 10.0 10.6 11.4 12.4 13.6 14.5 12.1 12.8 12.3 10.0 8.3 11.2 14.5 19901990 10.3 9.9 10.4 11.2 12.1 13.1 13.9 11.7 12.2 11.7 9.8 8.4 10.4 11.7 8.9 19911991 10.6 10.3 10.8 11.6 12.4 13.4 14.1 12.2 12.7 12.3 10.8 9.9 11.8 13.1 12.4 16.0 19921992 10.4 10.1 10.6 11.3 12.0 12.8 13.5 11.7 12.1 11.7 10.3 9.5 10.9 11.7 10.7 11.6 7.4 19931993 10.4 10.1 10.5 11.2 11.9 12.6 13.2 11.5 11.9 11.5 10.2 9.5 10.7 11.3 10.5 11.0 8.6 9.8 19941994 9.6 9.3 9.7 10.2 10.8 11.4 11.8 10.3 10.4 10.0 8.7 7.9 8.6 8.8 7.7 7.3 4.6 3.2 -2.9 19951995 10.1 9.8 10.2 10.7 11.3 11.9 12.3 10.9 11.1 10.7 9.6 9.0 9.8 10.1 9.4 9.5 7.9 8.1 7.3 18.5 19961996 9.8 9.5 9.8 10.3 10.8 11.3 11.7 10.3 10.5 10.1 9.1 8.5 9.1 9.3 8.5 8.5 7.0 6.9 6.0 10.8 3.6 19971997 9.7 9.5 9.8 10.3 10.8 11.2 11.6 10.3 10.4 10.1 9.1 8.6 9.2 9.3 8.7 8.7 7.5 7.5 6.9 10.4 6.6 9.7 19981998 9.7 9.4 9.8 10.2 10.6 11.1 11.4 10.2 10.3 10.0 9.1 8.6 9.1 9.3 8.7 8.7 7.6 7.7 7.3 10.0 7.3 9.2 8.7 19991999 9.2 9.0 9.2 9.6 10.0 10.4 10.7 9.5 9.6 9.2 8.3 7.8 8.3 8.3 7.7 7.6 6.5 6.4 5.9 7.7 5.2 5.7 3.8 -0.8 20002000 9.3 9.1 9.4 9.7 10.1 10.5 10.7 9.6 9.7 9.4 8.6 8.1 8.5 8.6 8.0 8.0 7.1 7.1 6.7 8.4 6.5 7.2 6.4 5.2 11.6 20012001 9.3 9.1 9.3 9.7 10.0 10.4 10.6 9.6 9.6 9.3 8.6 8.1 8.5 8.6 8.1 8.0 7.2 7.2 6.9 8.4 6.8 7.4 6.9 6.3 10.0 8.4 20022002 9.3 9.1 9.4 9.7 10.0 10.4 10.6 9.6 9.7 9.4 8.7 8.3 8.6 8.7 8.2 8.2 7.5 7.5 7.3 8.6 7.3 7.9 7.5 7.3 10.1 9.3 10.3 20032003 9.1 8.9 9.1 9.5 9.8 10.1 10.3 9.3 9.4 9.1 8.4 8.0 8.3 8.4 7.9 7.9 7.2 7.2 6.9 8.1 6.9 7.3 7.0 6.6 8.6 7.6 7.1 4.1 20042004 9.0 8.7 9.0 9.3 9.6 9.9 10.0 9.1 9.1 8.8 8.2 7.8 8.1 8.1 7.7 7.6 7.0 7.0 6.7 7.7 6.6 7.0 6.6 6.2 7.7 6.8 6.2 4.2 4.3 20052005 8.8 8.5 8.7 9.0 9.3 9.6 9.7 8.8 8.8 8.5 7.9 7.5 7.8 7.8 7.4 7.3 6.7 6.6 6.3 7.2 6.2 6.5 6.1 5.7 6.8 5.9 5.2 3.6 3.4 2.4 20062006 8.6 8.4 8.6 8.8 9.1 9.4 9.5 8.6 8.6 8.3 7.7 7.3 7.6 7.6 7.2 7.1 6.5 6.4 6.2 7.0 6.0 6.2 5.9 5.5 6.5 5.6 5.1 3.8 3.7 3.4 4.3 20072007 8.6 8.3 8.5 8.8 9.0 9.3 9.4 8.5 8.5 8.3 7.7 7.3 7.6 7.5 7.2 7.1 6.5 6.5 6.2 7.0 6.1 6.3 6.0 5.7 6.5 5.8 5.4 4.4 4.5 4.6 5.6 7.0 20082008 8.5 8.2 8.4 8.6 8.9 9.1 9.2 8.4 8.4 8.1 7.6 7.2 7.5 7.4 7.1 7.0 6.5 6.4 6.2 6.9 6.0 6.2 5.9 5.6 6.4 5.7 5.4 4.6 4.7 4.7 5.5 6.1 5.2 20092009 8.4 8.2 8.3 8.6 8.8 9.0 9.1 8.3 8.3 8.1 7.5 7.2 7.4 7.4 7.0 6.9 6.4 6.4 6.2 6.8 6.0 6.2 5.9 5.7 6.3 5.8 5.4 4.8 4.9 5.0 5.6 6.0 5.6 5.9 20102010 8.3 8.1 8.3 8.5 8.7 8.9 9.0 8.3 8.2 8.0 7.5 7.1 7.3 7.3 7.0 6.9 6.4 6.4 6.2 6.8 6.0 6.2 6.0 5.7 6.3 5.8 5.6 5.0 5.1 5.2 5.8 6.2 5.9 6.2 6.5 20112011 8.3 8.1 8.3 8.5 8.7 8.9 9.0 8.2 8.2 8.0 7.5 7.2 7.4 7.3 7.0 6.9 6.5 6.5 6.3 6.8 6.2 6.3 6.1 5.9 6.5 6.0 5.8 5.3 5.4 5.6 6.1 6.5 6.4 6.8 7.2 7.8 20122012 8.2 8.0 8.1 8.3 8.5 8.7 8.8 8.1 8.1 7.9 7.4 7.1 7.2 7.2 6.9 6.8 6.4 6.3 6.2 6.7 6.0 6.2 6.0 5.8 6.3 5.9 5.6 5.2 5.3 5.4 5.9 6.1 5.9 6.1 6.2 6.0 4.2

1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

BARCLAyS US AGGREGATE BOND INDEX

1976–2012: Total Returns (%)

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

1976

$18

1926 2012

ONE-mONTH CERTIFICATES OF DEPOSIT

1966–2012: Total Returns (%)

Data provided by the federal Reserve Statistical Release H.15: Selected interest Rates.

19661966 5.5 19671967 5.2 5.0 19681968 5.5 5.4 5.9 19691969 6.0 6.2 6.8 7.8 19701970 6.4 6.7 7.3 8.0 8.1 19711971 6.2 6.4 6.7 7.0 6.6 5.1 19721972 6.0 6.0 6.3 6.4 5.9 4.8 4.5 19731973 6.3 6.4 6.6 6.8 6.5 6.0 6.4 8.3 19741974 6.8 6.9 7.2 7.4 7.4 7.2 7.9 9.7 11.0 19751975 6.8 6.9 7.2 7.3 7.3 7.1 7.6 8.7 8.8 6.7 19761976 6.6 6.8 7.0 7.1 7.0 6.8 7.2 7.8 7.7 6.1 5.4 19771977 6.6 6.6 6.8 6.9 6.8 6.6 6.9 7.4 7.1 5.9 5.5 5.5 19781978 6.7 6.8 6.9 7.0 6.9 6.8 7.0 7.5 7.3 6.4 6.3 6.7 8.0 19791979 7.0 7.1 7.3 7.4 7.4 7.3 7.6 8.0 8.0 7.4 7.6 8.3 9.7 11.5 19801980 7.4 7.5 7.8 7.9 7.9 7.9 8.2 8.7 8.7 8.4 8.7 9.5 10.9 12.4 13.4 19811981 8.0 8.2 8.5 8.7 8.7 8.8 9.2 9.7 9.9 9.7 10.2 11.2 12.7 14.3 15.7 18.1 19821982 8.3 8.5 8.8 9.0 9.1 9.1 9.5 10.0 10.2 10.1 10.6 11.5 12.8 14.0 14.9 15.6 13.3 19831983 8.4 8.6 8.8 9.0 9.1 9.2 9.5 10.0 10.1 10.1 10.5 11.2 12.2 13.1 13.5 13.5 11.3 9.4 19841984 8.5 8.7 8.9 9.1 9.2 9.3 9.6 10.1 10.2 10.1 10.5 11.2 12.0 12.7 13.0 12.9 11.2 10.2 11.0 19851985 8.5 8.7 8.9 9.1 9.2 9.2 9.5 9.9 10.1 10.0 10.3 10.9 11.6 12.1 12.2 12.0 10.5 9.6 9.7 8.4 19861986 8.5 8.6 8.8 9.0 9.0 9.1 9.4 9.7 9.8 9.7 10.0 10.5 11.1 11.4 11.4 11.1 9.8 8.9 8.8 7.7 7.0 19871987 8.4 8.5 8.7 8.9 8.9 9.0 9.2 9.5 9.6 9.5 9.8 10.2 10.6 10.9 10.9 10.5 9.3 8.5 8.3 7.5 7.0 6.9 19881988 8.4 8.5 8.7 8.8 8.9 8.9 9.1 9.4 9.5 9.4 9.6 10.0 10.4 10.6 10.5 10.2 9.1 8.4 8.2 7.6 7.3 7.4 7.9 19891989 8.4 8.6 8.7 8.9 8.9 8.9 9.2 9.4 9.5 9.4 9.6 9.9 10.3 10.5 10.4 10.1 9.2 8.6 8.5 8.0 7.9 8.2 8.8 9.7 19901990 8.4 8.6 8.7 8.8 8.9 8.9 9.1 9.4 9.5 9.4 9.5 9.9 10.2 10.4 10.3 10.0 9.1 8.6 8.5 8.1 8.0 8.3 8.7 9.2 8.6 19911991 8.3 8.5 8.6 8.7 8.8 8.8 9.0 9.2 9.3 9.2 9.3 9.6 9.9 10.1 10.0 9.6 8.8 8.4 8.2 7.8 7.7 7.9 8.1 8.2 7.5 6.4 19921992 8.2 8.3 8.4 8.5 8.6 8.6 8.7 9.0 9.0 8.9 9.0 9.2 9.5 9.6 9.5 9.2 8.4 7.9 7.7 7.3 7.2 7.2 7.3 7.1 6.3 5.1 3.9 19931993 8.0 8.1 8.2 8.3 8.3 8.3 8.5 8.7 8.7 8.6 8.7 8.9 9.1 9.2 9.0 8.7 7.9 7.5 7.3 6.9 6.7 6.6 6.6 6.3 5.5 4.5 3.5 3.2 19941994 7.9 8.0 8.1 8.2 8.2 8.2 8.3 8.5 8.5 8.4 8.5 8.6 8.8 8.9 8.7 8.4 7.7 7.2 7.0 6.6 6.4 6.3 6.3 6.0 5.3 4.4 3.8 3.8 4.3 19951995 7.8 7.9 8.0 8.1 8.1 8.1 8.2 8.4 8.4 8.3 8.3 8.5 8.7 8.7 8.5 8.2 7.5 7.1 6.9 6.6 6.4 6.3 6.2 6.0 5.4 4.8 4.4 4.5 5.2 6.1 19961996 7.7 7.8 7.9 8.0 8.0 8.0 8.1 8.3 8.3 8.1 8.2 8.3 8.5 8.5 8.4 8.0 7.4 7.0 6.8 6.5 6.3 6.2 6.2 6.0 5.4 4.9 4.6 4.8 5.3 5.9 5.6 19971997 7.7 7.7 7.8 7.9 7.9 7.9 8.0 8.2 8.2 8.0 8.1 8.2 8.4 8.4 8.2 7.9 7.3 6.9 6.7 6.4 6.3 6.2 6.1 5.9 5.5 5.0 4.8 5.0 5.4 5.8 5.7 5.7 19981998 7.6 7.7 7.8 7.8 7.8 7.8 7.9 8.1 8.1 7.9 8.0 8.1 8.2 8.2 8.1 7.8 7.2 6.8 6.7 6.4 6.2 6.2 6.1 5.9 5.5 5.1 4.9 5.1 5.5 5.8 5.7 5.7 5.7 19991999 7.5 7.6 7.7 7.8 7.8 7.7 7.8 8.0 7.9 7.8 7.9 8.0 8.1 8.1 7.9 7.7 7.1 6.8 6.6 6.3 6.2 6.1 6.0 5.9 5.5 5.1 5.0 5.1 5.5 5.7 5.6 5.6 5.5 5.3 20002000 7.5 7.6 7.7 7.7 7.7 7.7 7.8 7.9 7.9 7.8 7.8 7.9 8.0 8.0 7.9 7.6 7.1 6.7 6.6 6.3 6.2 6.1 6.1 5.9 5.6 5.3 5.2 5.3 5.6 5.9 5.8 5.9 5.9 6.0 6.6 20012001 7.4 7.5 7.6 7.6 7.6 7.6 7.7 7.8 7.8 7.7 7.7 7.8 7.9 7.9 7.7 7.4 6.9 6.6 6.5 6.2 6.1 6.0 5.9 5.8 5.5 5.2 5.1 5.2 5.5 5.6 5.6 5.6 5.5 5.4 5.5 4.4 20022002 7.3 7.3 7.4 7.4 7.4 7.4 7.5 7.6 7.6 7.4 7.5 7.5 7.6 7.6 7.4 7.2 6.7 6.4 6.2 6.0 5.8 5.7 5.7 5.5 5.2 4.9 4.8 4.9 5.1 5.2 5.0 4.9 4.8 4.5 4.2 3.1 1.82003 7.1 7.2 7.2 7.3 7.2 7.2 7.3 7.4 7.3 7.2 7.2 7.3 7.4 7.3 7.2 6.9 6.4 6.1 6.0 5.7 5.6 5.5 5.4 5.2 4.9 4.6 4.5 4.5 4.7 4.7 4.5 4.4 4.2 3.8 3.5 2.4 1.52004 7.0 7.0 7.1 7.1 7.1 7.0 7.1 7.2 7.1 7.0 7.0 7.1 7.1 7.1 6.9 6.7 6.2 5.9 5.7 5.5 5.3 5.2 5.1 5.0 4.7 4.4 4.2 4.3 4.4 4.4 4.2 4.0 3.8 3.4 3.0 2.2 1.52005 6.9 6.9 7.0 7.0 7.0 6.9 7.0 7.1 7.0 6.9 6.9 7.0 7.0 7.0 6.8 6.5 6.1 5.8 5.6 5.4 5.2 5.1 5.0 4.9 4.6 4.3 4.2 4.2 4.3 4.3 4.1 3.9 3.7 3.4 3.1 2.4 1.92006 6.8 6.9 6.9 6.9 6.9 6.9 6.9 7.0 7.0 6.8 6.8 6.9 6.9 6.9 6.7 6.5 6.0 5.8 5.6 5.4 5.2 5.1 5.0 4.9 4.6 4.4 4.2 4.3 4.3 4.3 4.2 4.0 3.9 3.6 3.4 2.8 2.52007 6.8 6.8 6.9 6.9 6.9 6.8 6.9 7.0 6.9 6.8 6.8 6.8 6.9 6.9 6.7 6.4 6.0 5.7 5.6 5.4 5.2 5.2 5.1 4.9 4.7 4.4 4.3 4.3 4.4 4.4 4.3 4.2 4.0 3.8 3.6 3.2 3.02008 6.7 6.7 6.8 6.8 6.8 6.7 6.8 6.8 6.8 6.7 6.7 6.7 6.8 6.7 6.6 6.3 5.9 5.6 5.5 5.3 5.1 5.1 5.0 4.8 4.6 4.4 4.2 4.3 4.3 4.3 4.2 4.1 3.9 3.7 3.6 3.2 3.02009 6.6 6.6 6.6 6.6 6.6 6.6 6.6 6.7 6.6 6.5 6.5 6.5 6.6 6.5 6.4 6.1 5.7 5.4 5.3 5.1 4.9 4.9 4.8 4.6 4.4 4.1 4.0 4.0 4.1 4.1 3.9 3.8 3.6 3.4 3.3 2.9 2.72010 6.4 6.4 6.5 6.5 6.5 6.4 6.4 6.5 6.4 6.3 6.3 6.3 6.4 6.3 6.2 5.9 5.5 5.3 5.1 4.9 4.7 4.7 4.6 4.4 4.2 3.9 3.8 3.8 3.9 3.8 3.7 3.5 3.4 3.2 3.0 2.6 2.42011 6.3 6.3 6.3 6.3 6.3 6.3 6.3 6.3 6.3 6.2 6.1 6.2 6.2 6.1 6.0 5.7 5.3 5.1 4.9 4.7 4.6 4.5 4.4 4.2 4.0 3.8 3.6 3.6 3.6 3.6 3.5 3.3 3.1 2.9 2.7 2.4 2.22012 6.1 6.2 6.2 6.2 6.2 6.1 6.1 6.2 6.1 6.0 6.0 6.0 6.0 5.9 5.8 5.6 5.2 4.9 4.8 4.5 4.4 4.3 4.2 4.1 3.8 3.6 3.5 3.4 3.5 3.4 3.3 3.1 2.9 2.7 2.5 2.2 2.0

1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

$16

1926 20121966

Data provided by barclays bank plc.

19981998 3.9 19991999 3.2 2.4 20002000 6.4 7.7 13.2 20012001 6.8 7.7 10.5 7.9 20022002 8.7 9.9 12.5 12.1 16.6 20032003 8.6 9.6 11.5 10.9 12.4 8.4 20042004 8.6 9.4 10.8 10.3 11.1 8.4 8.5 20052005 7.9 8.4 9.5 8.7 9.0 6.5 5.6 2.8 20062006 7.0 7.4 8.1 7.3 7.2 5.0 3.9 1.7 0.5 20072007 7.5 7.9 8.6 7.9 7.9 6.3 5.8 4.9 5.9 11.6 20082008 6.5 6.8 7.3 6.6 6.4 4.8 4.1 3.0 3.1 4.4 -2.4 20092009 6.9 7.2 7.7 7.1 7.0 5.7 5.3 4.6 5.1 6.7 4.3 11.4 20102010 6.9 7.1 7.6 7.0 6.9 5.8 5.4 4.9 5.3 6.6 5.0 8.8 6.3 20112011 7.3 7.6 8.1 7.6 7.6 6.6 6.4 6.1 6.7 8.0 7.1 10.4 9.9 13.6 20122012 7.3 7.6 8.0 7.6 7.5 6.7 6.5 6.2 6.7 7.8 7.0 9.5 8.9 10.2 7.0

1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

BARCLAyS US TIPS INDEX1998–2012: Total Returns (%)

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

1998

$2.89

1926 2012

19681968 2.6 19691969 -2.9 -8.1 19701970 3.7 4.3 18.4 19711971 5.5 6.5 14.6 11.0 19721972 5.8 6.7 12.1 9.1 7.3 19731973 5.0 5.6 9.3 6.4 4.2 1.1 19741974 3.9 4.1 6.7 3.9 1.7 -1.0 -3.1 19751975 5.1 5.5 8.0 6.0 4.8 4.0 5.4 14.6 19761976 6.6 7.1 9.4 8.0 7.4 7.5 9.7 16.6 18.6 19771977 6.1 6.5 8.4 7.1 6.4 6.3 7.6 11.4 9.9 1.7 19781978 5.5 5.8 7.5 6.2 5.5 5.2 6.0 8.4 6.4 0.8 -0.1 19791979 4.7 4.8 6.2 5.0 4.2 3.8 4.3 5.8 3.7 -0.9 -2.2 -4.2 19801980 4.1 4.2 5.4 4.2 3.4 3.0 3.2 4.3 2.4 -1.3 -2.3 -3.4 -2.6 19811981 3.7 3.8 4.9 3.7 3.0 2.5 2.7 3.6 1.8 -1.2 -2.0 -2.6 -1.8 -1.0 19821982 6.0 6.2 7.4 6.6 6.2 6.1 6.6 7.9 7.0 5.1 5.8 7.4 11.5 19.3 43.8 19831983 5.9 6.1 7.2 6.4 6.0 5.9 6.4 7.5 6.7 5.1 5.6 6.8 9.8 14.2 22.7 4.7 19841984 6.5 6.7 7.8 7.1 6.8 6.8 7.3 8.4 7.7 6.4 7.1 8.4 11.1 14.8 20.6 10.4 16.4 19851985 7.7 8.0 9.1 8.5 8.4 8.5 9.1 10.3 9.8 8.9 9.8 11.3 14.1 17.8 23.1 16.8 23.4 30.9 19861986 8.3 8.7 9.7 9.2 9.1 9.2 9.9 11.0 10.7 9.9 10.9 12.4 14.9 18.2 22.4 17.6 22.2 25.3 19.8 19871987 7.9 8.2 9.2 8.6 8.5 8.6 9.1 10.1 9.8 9.0 9.7 10.9 12.9 15.3 18.3 13.8 16.2 16.1 9.3 -0.3 19881988 8.0 8.3 9.2 8.8 8.6 8.7 9.2 10.2 9.8 9.1 9.8 10.9 12.7 14.7 17.2 13.3 15.1 14.7 9.8 5.1 10.7 19891989 8.4 8.7 9.6 9.1 9.0 9.1 9.7 10.6 10.3 9.7 10.3 11.3 13.0 14.9 17.1 13.7 15.2 15.0 11.4 8.7 13.4 16.2 19901990 8.3 8.6 9.4 9.0 8.9 9.0 9.5 10.3 10.0 9.4 10.1 11.0 12.4 14.1 15.9 12.8 14.0 13.6 10.4 8.2 11.2 11.4 6.8 19911991 8.8 9.0 9.9 9.5 9.4 9.5 10.0 10.9 10.6 10.1 10.7 11.6 13.0 14.6 16.3 13.6 14.7 14.5 12.0 10.4 13.3 14.2 13.1 19.9 19921992 8.8 9.1 9.9 9.5 9.4 9.5 10.0 10.8 10.6 10.1 10.6 11.5 12.8 14.1 15.6 13.1 14.1 13.8 11.6 10.3 12.5 13.0 11.9 14.5 9.4 19931993 9.0 9.2 10.0 9.7 9.6 9.7 10.2 10.9 10.7 10.2 10.8 11.6 12.8 14.1 15.4 13.1 14.0 13.8 11.8 10.7 12.6 13.0 12.2 14.1 11.3 13.2 19941994 8.3 8.5 9.3 8.9 8.8 8.9 9.3 9.9 9.7 9.2 9.7 10.3 11.3 12.4 13.5 11.3 11.9 11.5 9.5 8.3 9.6 9.4 8.1 8.4 4.8 2.6 -7.0 19951995 8.9 9.2 9.9 9.6 9.5 9.6 10.0 10.7 10.5 10.1 10.5 11.2 12.2 13.3 14.4 12.4 13.1 12.8 11.1 10.2 11.5 11.7 10.9 11.8 9.8 10.0 8.4 26.4 19961996 8.7 8.9 9.6 9.2 9.2 9.2 9.6 10.2 10.0 9.6 10.0 10.6 11.6 12.5 13.5 11.6 12.1 11.8 10.2 9.3 10.4 10.3 9.5 10.0 8.1 7.8 6.0 13.2 1.4 19971997 8.8 9.0 9.7 9.4 9.3 9.4 9.7 10.3 10.1 9.8 10.2 10.7 11.6 12.5 13.4 11.7 12.2 11.9 10.4 9.6 10.6 10.6 9.9 10.4 8.9 8.8 7.7 13.1 7.0 12.9 19981998 8.9 9.1 9.7 9.4 9.4 9.4 9.8 10.4 10.2 9.8 10.2 10.7 11.6 12.4 13.3 11.6 12.1 11.8 10.4 9.7 10.6 10.6 10.0 10.4 9.1 9.1 8.3 12.5 8.3 11.8 10.8 19991999 8.3 8.5 9.1 8.8 8.7 8.8 9.1 9.6 9.4 9.0 9.3 9.8 10.6 11.3 12.0 10.4 10.8 10.4 9.0 8.3 9.0 8.9 8.1 8.3 6.9 6.6 5.5 8.2 4.1 5.0 1.2 -7.5 20002000 8.4 8.6 9.2 8.9 8.9 8.9 9.2 9.7 9.5 9.1 9.5 9.9 10.7 11.4 12.1 10.5 10.9 10.5 9.3 8.6 9.3 9.2 8.6 8.7 7.6 7.3 6.5 9.0 5.8 6.9 5.0 2.2 12.9 20012001 8.5 8.7 9.3 9.0 8.9 9.0 9.3 9.7 9.6 9.2 9.5 10.0 10.7 11.3 12.0 10.5 10.9 10.5 9.4 8.7 9.4 9.3 8.7 8.9 7.9 7.7 7.0 9.2 6.6 7.6 6.4 4.9 11.7 10.6 20022002 8.7 8.9 9.5 9.2 9.1 9.2 9.5 10.0 9.8 9.5 9.8 10.2 10.9 11.6 12.2 10.8 11.1 10.9 9.8 9.2 9.8 9.8 9.3 9.5 8.6 8.5 8.0 10.1 7.9 9.1 8.3 7.7 13.3 13.5 16.3 20032003 8.6 8.8 9.3 9.1 9.0 9.1 9.4 9.8 9.6 9.3 9.6 10.0 10.7 11.3 11.9 10.5 10.8 10.6 9.5 8.9 9.5 9.5 9.0 9.2 8.3 8.2 7.8 9.5 7.6 8.5 7.8 7.2 11.2 10.7 10.7 5.3 20042004 8.6 8.8 9.3 9.1 9.0 9.1 9.3 9.8 9.6 9.3 9.6 10.0 10.6 11.2 11.7 10.5 10.7 10.5 9.5 8.9 9.5 9.4 9.0 9.1 8.4 8.3 7.8 9.5 7.7 8.5 7.9 7.4 10.7 10.2 10.0 7.0 8.7 20052005 8.6 8.7 9.2 9.0 8.9 9.0 9.2 9.6 9.5 9.2 9.5 9.8 10.4 11.0 11.5 10.3 10.5 10.2 9.3 8.8 9.3 9.2 8.8 8.9 8.2 8.1 7.7 9.1 7.5 8.2 7.7 7.2 9.9 9.3 9.0 6.6 7.3 5.9 20062006 8.4 8.6 9.1 8.8 8.7 8.8 9.0 9.4 9.3 9.0 9.2 9.6 10.1 10.6 11.1 10.0 10.2 9.9 9.0 8.5 9.0 8.9 8.5 8.6 7.8 7.7 7.3 8.6 7.1 7.7 7.2 6.7 8.9 8.3 7.8 5.8 5.9 4.5 3.2 20072007 8.3 8.4 8.9 8.6 8.6 8.6 8.8 9.2 9.1 8.8 9.0 9.3 9.8 10.3 10.8 9.6 9.9 9.6 8.7 8.2 8.6 8.5 8.1 8.2 7.5 7.4 7.0 8.1 6.7 7.2 6.7 6.2 8.1 7.4 6.9 5.1 5.1 3.9 2.9 2.6 20082008 8.3 8.4 8.9 8.6 8.6 8.6 8.8 9.2 9.0 8.8 9.0 9.3 9.8 10.3 10.7 9.6 9.8 9.6 8.7 8.2 8.6 8.5 8.2 8.2 7.6 7.5 7.1 8.2 6.9 7.4 6.9 6.5 8.2 7.6 7.2 5.7 5.8 5.1 4.8 5.6 8.8 20092009 8.1 8.3 8.7 8.5 8.4 8.5 8.7 9.0 8.9 8.6 8.8 9.1 9.6 10.0 10.4 9.4 9.5 9.3 8.5 8.0 8.4 8.3 7.9 8.0 7.3 7.2 6.8 7.8 6.6 7.0 6.6 6.2 7.6 7.1 6.6 5.3 5.3 4.7 4.4 4.8 5.9 3.0 20102010 8.2 8.4 8.8 8.6 8.5 8.6 8.8 9.1 9.0 8.7 8.9 9.2 9.7 10.1 10.5 9.5 9.7 9.4 8.6 8.2 8.6 8.5 8.1 8.2 7.6 7.5 7.2 8.1 7.0 7.4 7.0 6.7 8.1 7.6 7.3 6.2 6.3 5.9 5.9 6.6 8.0 7.6 12.4 20112011 8.5 8.6 9.0 8.8 8.8 8.8 9.0 9.3 9.2 8.9 9.2 9.5 9.9 10.3 10.7 9.8 9.9 9.7 9.0 8.5 8.9 8.9 8.5 8.6 8.1 8.0 7.7 8.7 7.7 8.1 7.7 7.5 8.9 8.5 8.3 7.4 7.7 7.6 7.9 8.8 10.4 11.0 15.2 17.9 20122012 8.5 8.6 9.1 8.9 8.8 8.8 9.0 9.4 9.2 9.0 9.2 9.5 9.9 10.4 10.7 9.8 10.0 9.7 9.0 8.6 9.0 8.9 8.6 8.7 8.2 8.1 7.9 8.8 7.8 8.2 7.9 7.7 9.0 8.7 8.5 7.8 8.0 8.0 8.3 9.1 10.5 10.9 13.6 14.3 10.7

1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

Page 24: Dfa matrix book us_2013 - copy

DIMENSIONAL FUND ADVISORS MATRIX BOOK 201344 45

19771977 3.3 19781978 2.9 2.5 19791979 4.2 4.6 6.9 19801980 5.0 5.5 7.1 7.3 19811981 6.3 7.0 8.6 9.4 11.7 19821982 9.3 10.5 12.6 14.6 18.4 25.6 19831983 9.2 10.2 11.8 13.1 15.1 16.8 8.6 19841984 9.8 10.8 12.2 13.3 14.9 16.0 11.5 14.4 19851985 10.7 11.7 13.0 14.1 15.5 16.5 13.6 16.2 18.1 19861986 10.9 11.8 13.1 14.0 15.1 15.8 13.5 15.2 15.6 13.1 19871987 10.3 11.0 12.0 12.6 13.4 13.7 11.5 12.2 11.5 8.3 3.7 19881988 10.0 10.6 11.5 12.0 12.6 12.7 10.7 11.1 10.3 7.9 5.4 7.1 19891989 10.3 10.9 11.7 12.1 12.7 12.8 11.1 11.5 11.0 9.3 8.0 10.2 13.5 19901990 10.2 10.8 11.5 11.9 12.4 12.5 10.9 11.2 10.7 9.3 8.4 10.0 11.5 9.6 19911991 10.5 11.0 11.7 12.1 12.6 12.7 11.3 11.7 11.3 10.2 9.6 11.2 12.5 12.1 14.6 19921992 10.3 10.8 11.4 11.7 12.1 12.2 10.9 11.2 10.8 9.8 9.2 10.3 11.2 10.4 10.8 7.2 19931993 10.2 10.6 11.2 11.5 11.9 11.9 10.7 10.9 10.5 9.6 9.1 10.1 10.7 10.0 10.1 8.0 8.8 19941994 9.5 9.9 10.3 10.6 10.8 10.7 9.6 9.7 9.2 8.3 7.7 8.3 8.5 7.5 7.0 4.6 3.3 -1.9 19951995 9.8 10.2 10.6 10.9 11.1 11.1 10.0 10.1 9.8 9.0 8.5 9.1 9.4 8.8 8.6 7.2 7.2 6.4 15.3 19961996 9.5 9.8 10.3 10.5 10.7 10.6 9.6 9.7 9.3 8.5 8.1 8.6 8.7 8.1 7.8 6.5 6.4 5.6 9.5 4.0 19971997 9.4 9.7 10.1 10.3 10.5 10.4 9.5 9.5 9.2 8.5 8.0 8.5 8.6 8.1 7.8 6.8 6.7 6.1 9.0 5.9 7.9 19981998 9.4 9.7 10.0 10.2 10.4 10.3 9.4 9.5 9.1 8.5 8.1 8.5 8.6 8.1 7.9 7.0 7.0 6.6 8.8 6.8 8.2 8.4 19991999 9.0 9.2 9.6 9.7 9.8 9.7 8.9 8.9 8.5 7.9 7.5 7.8 7.9 7.3 7.1 6.1 6.0 5.5 7.1 5.1 5.5 4.3 0.4 20002000 9.0 9.3 9.6 9.7 9.8 9.7 8.9 8.9 8.6 8.0 7.7 8.0 8.0 7.6 7.4 6.6 6.5 6.2 7.6 6.1 6.6 6.2 5.1 10.1 20012001 9.0 9.3 9.6 9.7 9.8 9.7 8.9 8.9 8.6 8.1 7.7 8.0 8.1 7.7 7.5 6.8 6.8 6.5 7.8 6.6 7.1 6.9 6.4 9.5 9.0 20022002 9.0 9.3 9.6 9.7 9.8 9.7 9.0 9.0 8.7 8.2 7.9 8.2 8.2 7.8 7.7 7.1 7.1 6.9 8.0 7.0 7.5 7.5 7.2 9.6 9.4 9.8 20032003 8.9 9.1 9.4 9.5 9.6 9.5 8.7 8.8 8.5 8.0 7.7 7.9 8.0 7.6 7.4 6.9 6.8 6.6 7.6 6.7 7.1 6.9 6.7 8.3 7.7 7.0 4.3 20042004 8.6 8.9 9.1 9.2 9.3 9.2 8.5 8.5 8.2 7.7 7.4 7.6 7.7 7.3 7.1 6.6 6.5 6.3 7.2 6.3 6.6 6.4 6.0 7.2 6.5 5.7 3.7 3.0 20052005 8.4 8.6 8.8 8.9 9.0 8.8 8.2 8.1 7.9 7.4 7.1 7.3 7.3 6.9 6.7 6.2 6.1 5.9 6.6 5.8 6.0 5.8 5.4 6.3 5.5 4.6 3.0 2.3 1.6 20062006 8.3 8.4 8.7 8.7 8.8 8.7 8.0 8.0 7.7 7.2 6.9 7.1 7.1 6.8 6.6 6.1 6.0 5.8 6.4 5.7 5.8 5.6 5.3 6.0 5.3 4.6 3.3 3.0 3.0 4.4 20072007 8.2 8.4 8.6 8.7 8.7 8.6 8.0 8.0 7.7 7.2 7.0 7.1 7.1 6.8 6.6 6.2 6.1 5.9 6.5 5.8 6.0 5.8 5.5 6.2 5.6 5.1 4.2 4.1 4.5 6.0 7.6 20082008 8.1 8.3 8.5 8.6 8.6 8.5 7.9 7.8 7.6 7.2 6.9 7.0 7.0 6.7 6.6 6.1 6.0 5.9 6.4 5.8 5.9 5.7 5.5 6.1 5.6 5.1 4.3 4.3 4.6 5.7 6.3 5.1 20092009 8.0 8.2 8.4 8.4 8.5 8.4 7.8 7.7 7.5 7.1 6.8 7.0 7.0 6.6 6.5 6.1 6.0 5.8 6.4 5.7 5.9 5.7 5.5 6.0 5.5 5.1 4.4 4.5 4.8 5.6 6.0 5.2 5.2 20102010 8.0 8.1 8.3 8.4 8.4 8.3 7.7 7.7 7.4 7.0 6.8 6.9 6.9 6.6 6.5 6.0 6.0 5.8 6.3 5.7 5.9 5.7 5.5 6.0 5.6 5.2 4.6 4.7 4.9 5.6 6.0 5.4 5.6 5.9 20112011 7.9 8.1 8.2 8.3 8.3 8.2 7.6 7.6 7.4 7.0 6.7 6.9 6.9 6.6 6.4 6.0 6.0 5.8 6.3 5.7 5.9 5.7 5.5 6.0 5.6 5.3 4.8 4.8 5.1 5.7 5.9 5.5 5.6 5.8 5.8 20122012 7.8 7.9 8.1 8.1 8.2 8.1 7.5 7.5 7.2 6.9 6.6 6.7 6.7 6.4 6.3 5.9 5.9 5.7 6.2 5.6 5.7 5.6 5.4 5.8 5.4 5.1 4.7 4.7 4.9 5.4 5.6 5.2 5.2 5.2 4.8 3.9

1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

DImENSIONAL US INTERmEDIATE VARIABLE mATURITy GOVERNmENT/CREDIT INDEX

1977–2012: Total Returns (%)

19851985 21.2 19861986 17.4 13.8 19871987 12.6 8.5 3.4 19881988 11.1 7.9 5.0 6.6 19891989 10.1 7.5 5.5 6.6 6.5 19901990 9.9 7.8 6.4 7.4 7.7 9.0 19911991 10.8 9.2 8.3 9.5 10.5 12.6 16.3 19921992 10.4 9.0 8.2 9.2 9.8 11.0 12.0 7.9 19931993 10.7 9.4 8.8 9.7 10.4 11.4 12.2 10.2 12.5 19941994 9.3 8.0 7.3 7.9 8.1 8.4 8.3 5.8 4.7 -2.6 19951995 10.2 9.1 8.6 9.3 9.7 10.2 10.5 9.1 9.5 8.0 19.7 19961996 10.3 9.4 8.9 9.5 9.9 10.4 10.6 9.6 10.0 9.1 15.5 11.5 19971997 10.3 9.5 9.1 9.7 10.0 10.4 10.7 9.8 10.1 9.5 13.9 11.1 10.7 19981998 10.4 9.6 9.2 9.8 10.1 10.5 10.7 9.9 10.2 9.8 13.1 11.0 10.7 10.8 19991999 10.0 9.2 8.9 9.4 9.6 9.9 10.0 9.3 9.5 9.0 11.4 9.5 8.8 7.9 5.0 20002000 10.0 9.3 8.9 9.4 9.6 9.9 10.0 9.3 9.5 9.1 11.1 9.5 9.0 8.5 7.3 9.7 20012001 9.9 9.2 8.9 9.3 9.5 9.7 9.8 9.2 9.3 8.9 10.7 9.3 8.8 8.3 7.6 8.8 8.0 20022002 9.9 9.2 9.0 9.3 9.5 9.8 9.8 9.3 9.4 9.1 10.6 9.4 9.0 8.7 8.2 9.2 9.0 10.0 20032003 9.5 8.9 8.6 8.9 9.1 9.3 9.3 8.7 8.8 8.4 9.7 8.5 8.1 7.7 7.1 7.6 7.0 6.4 3.0 20042004 9.3 8.7 8.4 8.7 8.8 9.0 9.0 8.5 8.5 8.2 9.3 8.2 7.8 7.4 6.8 7.2 6.6 6.1 4.2 5.4 20052005 9.1 8.5 8.2 8.5 8.6 8.7 8.7 8.2 8.2 7.8 8.8 7.8 7.4 7.0 6.5 6.7 6.1 5.7 4.3 4.9 4.4 20062006 8.8 8.3 8.0 8.3 8.4 8.5 8.4 7.9 7.9 7.6 8.5 7.5 7.1 6.7 6.2 6.4 5.9 5.5 4.4 4.8 4.5 4.6 20072007 8.9 8.3 8.1 8.3 8.4 8.5 8.5 8.0 8.0 7.7 8.5 7.6 7.3 7.0 6.5 6.7 6.3 6.0 5.3 5.9 6.0 6.8 9.0 20082008 9.0 8.5 8.3 8.5 8.6 8.7 8.7 8.3 8.3 8.0 8.8 8.0 7.8 7.5 7.2 7.4 7.1 7.0 6.5 7.2 7.7 8.8 10.9 12.9 20092009 8.7 8.2 7.9 8.2 8.2 8.3 8.3 7.9 7.9 7.6 8.3 7.5 7.2 6.9 6.6 6.7 6.4 6.2 5.7 6.1 6.3 6.7 7.5 6.7 0.9 20102010 8.6 8.1 7.9 8.1 8.1 8.2 8.2 7.8 7.8 7.5 8.1 7.4 7.1 6.9 6.5 6.7 6.4 6.2 5.7 6.1 6.3 6.6 7.1 6.5 3.5 6.2 20112011 8.6 8.1 7.9 8.1 8.2 8.2 8.2 7.8 7.8 7.5 8.2 7.5 7.2 7.0 6.7 6.8 6.6 6.4 6.1 6.4 6.6 7.0 7.4 7.0 5.2 7.4 8.6 20122012 8.5 8.0 7.8 8.0 8.0 8.1 8.1 7.7 7.7 7.4 8.0 7.4 7.1 6.9 6.6 6.7 6.5 6.3 6.0 6.3 6.4 6.7 7.1 6.7 5.2 6.7 6.9 5.2

1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

DImENSIONAL GLOBAL INTERmEDIATE VARIABLE mATURITy INDEX

1985–2012: Total Returns (%) in US Dollars

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

19851926 2012

$8.28

index data compiled by Dimensional.

index data compiled by Dimensional.

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

19771926 2012

$15

19741974 0.8 19751975 7.6 14.8 19761976 10.0 14.9 15.0 19771977 8.7 11.5 9.8 5.0 19781978 7.3 8.9 7.1 3.3 1.7 19791979 6.6 7.8 6.1 3.3 2.5 3.4 19801980 6.5 7.4 6.0 3.9 3.6 4.5 5.6 19811981 6.8 7.7 6.5 4.9 4.9 6.0 7.3 9.0 19821982 9.2 10.3 9.6 8.8 9.6 11.6 14.5 19.2 30.4 19831983 9.4 10.4 9.8 9.1 9.8 11.5 13.6 16.4 20.3 11.0 19841984 9.9 10.8 10.4 9.8 10.5 12.1 13.9 16.1 18.5 13.0 15.1 19851985 10.6 11.5 11.2 10.8 11.5 13.0 14.7 16.6 18.6 14.9 16.9 18.6 19861986 10.8 11.7 11.4 11.0 11.7 13.1 14.5 16.1 17.5 14.5 15.7 16.1 13.6 19871987 10.3 11.1 10.8 10.4 11.0 12.0 13.2 14.3 15.2 12.4 12.7 12.0 8.8 4.2 19881988 10.2 10.9 10.6 10.2 10.7 11.6 12.6 13.5 14.1 11.6 11.8 11.0 8.5 6.1 8.0 19891989 10.3 11.0 10.7 10.4 10.9 11.8 12.6 13.4 14.0 11.8 12.0 11.4 9.6 8.4 10.5 13.0 19901990 10.2 10.8 10.5 10.2 10.7 11.4 12.2 12.9 13.3 11.3 11.4 10.8 9.3 8.2 9.6 10.4 7.9 19911991 10.6 11.2 10.9 10.7 11.1 11.8 12.6 13.2 13.7 11.9 12.1 11.6 10.5 9.9 11.4 12.5 12.2 16.8 19921992 10.4 11.0 10.8 10.5 10.9 11.6 12.2 12.8 13.1 11.5 11.6 11.2 10.2 9.6 10.7 11.4 10.9 12.4 8.1 19931993 10.4 11.0 10.8 10.5 10.9 11.5 12.1 12.6 13.0 11.5 11.5 11.1 10.3 9.8 10.7 11.3 10.9 11.9 9.5 10.9 19941994 9.8 10.2 10.0 9.7 10.0 10.6 11.1 11.5 11.7 10.2 10.2 9.7 8.7 8.1 8.7 8.8 8.0 8.0 5.3 3.8 -2.8 19951995 10.2 10.6 10.4 10.2 10.5 11.0 11.5 11.9 12.2 10.9 10.9 10.5 9.7 9.3 9.9 10.2 9.7 10.1 8.5 8.6 7.5 18.8 19961996 9.9 10.3 10.1 9.9 10.1 10.6 11.1 11.4 11.6 10.3 10.3 9.9 9.1 8.7 9.2 9.4 8.9 9.0 7.5 7.4 6.2 11.0 3.8 19971997 9.8 10.2 10.0 9.8 10.0 10.5 10.9 11.2 11.4 10.2 10.1 9.8 9.1 8.7 9.1 9.3 8.8 8.9 7.7 7.6 6.7 10.1 6.0 8.3 19981998 9.8 10.2 10.0 9.7 10.0 10.4 10.8 11.1 11.2 10.1 10.0 9.7 9.0 8.7 9.1 9.2 8.8 8.9 7.8 7.7 7.1 9.7 6.9 8.5 8.7 19991999 9.4 9.7 9.5 9.3 9.5 9.9 10.2 10.5 10.6 9.5 9.4 9.0 8.4 8.0 8.3 8.3 7.9 7.9 6.8 6.6 5.9 7.8 5.2 5.6 4.3 0.2 20002000 9.4 9.7 9.5 9.3 9.5 9.9 10.2 10.4 10.5 9.5 9.4 9.1 8.4 8.1 8.4 8.4 8.0 8.0 7.1 7.0 6.4 8.0 6.0 6.6 6.0 4.7 9.3 20012001 9.4 9.7 9.5 9.3 9.5 9.9 10.2 10.4 10.5 9.5 9.4 9.1 8.5 8.2 8.5 8.5 8.2 8.2 7.4 7.3 6.8 8.3 6.6 7.2 6.9 6.3 9.5 9.7 20022002 9.4 9.7 9.5 9.3 9.5 9.9 10.1 10.4 10.4 9.5 9.4 9.1 8.6 8.3 8.6 8.6 8.3 8.3 7.6 7.5 7.1 8.4 7.0 7.6 7.4 7.2 9.6 9.7 9.7 20032003 9.3 9.7 9.5 9.3 9.4 9.8 10.0 10.2 10.3 9.4 9.3 9.0 8.5 8.2 8.5 8.5 8.2 8.3 7.6 7.5 7.2 8.4 7.1 7.6 7.5 7.2 9.1 9.0 8.7 7.6 20042004 9.2 9.5 9.3 9.1 9.3 9.6 9.8 10.0 10.0 9.2 9.1 8.8 8.3 8.0 8.3 8.3 8.0 8.0 7.3 7.2 6.9 7.9 6.8 7.2 7.0 6.8 8.1 7.8 7.2 6.0 4.3 20052005 8.9 9.2 9.0 8.8 9.0 9.2 9.5 9.6 9.7 8.8 8.7 8.4 8.0 7.7 7.9 7.9 7.5 7.5 6.9 6.8 6.5 7.3 6.3 6.5 6.3 6.0 7.0 6.5 5.7 4.4 2.9 1.5 20062006 8.8 9.1 8.9 8.7 8.8 9.1 9.3 9.4 9.4 8.6 8.5 8.3 7.8 7.5 7.7 7.7 7.4 7.3 6.7 6.6 6.3 7.1 6.1 6.3 6.1 5.8 6.6 6.2 5.5 4.4 3.4 3.0 4.4 20072007 8.7 9.0 8.8 8.6 8.7 9.0 9.2 9.3 9.3 8.5 8.4 8.1 7.7 7.4 7.6 7.6 7.3 7.2 6.7 6.6 6.3 7.0 6.1 6.3 6.1 5.8 6.5 6.1 5.5 4.7 4.0 3.9 5.1 5.7 20082008 8.3 8.5 8.4 8.2 8.3 8.5 8.7 8.8 8.8 8.0 7.9 7.6 7.2 6.9 7.0 6.9 6.6 6.6 6.0 5.9 5.5 6.2 5.2 5.4 5.1 4.8 5.3 4.8 4.1 3.2 2.3 1.8 1.9 0.7 -4.1 20092009 8.6 8.8 8.6 8.5 8.6 8.8 9.0 9.1 9.1 8.4 8.3 8.0 7.6 7.3 7.5 7.5 7.2 7.2 6.6 6.6 6.3 6.9 6.1 6.3 6.1 5.9 6.5 6.2 5.8 5.2 4.8 4.9 5.8 6.2 6.5 18.3 20102010 8.6 8.8 8.6 8.4 8.6 8.8 9.0 9.1 9.1 8.4 8.3 8.0 7.6 7.4 7.5 7.5 7.2 7.2 6.7 6.6 6.4 7.0 6.3 6.4 6.3 6.1 6.7 6.4 6.0 5.6 5.3 5.4 6.3 6.7 7.1 13.1 8.2 20112011 8.5 8.7 8.5 8.4 8.5 8.7 8.8 9.0 8.9 8.3 8.2 7.9 7.5 7.3 7.4 7.4 7.2 7.1 6.7 6.6 6.4 6.9 6.2 6.4 6.2 6.1 6.6 6.3 6.0 5.6 5.3 5.5 6.2 6.5 6.7 10.6 6.9 5.6 20122012 8.5 8.7 8.5 8.4 8.5 8.7 8.8 8.9 8.9 8.3 8.2 8.0 7.6 7.4 7.5 7.5 7.2 7.2 6.8 6.7 6.5 7.0 6.4 6.5 6.4 6.3 6.7 6.5 6.2 5.9 5.7 5.9 6.5 6.9 7.1 10.1 7.5 7.2 8.8

1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

DImENSIONAL US INTERmEDIATE VARIABLE CREDIT INDEX

1974–2012: Total Returns (%)

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

19741926 2012

$24

DImENSIONAL US INTERmEDIATE VARIABLE GOVERNmENT/CREDIT INDEX

1974–2012: Total Returns (%)

19741974 6.8 19751975 8.1 9.4 19761976 9.5 10.9 12.5 19771977 8.0 8.4 7.9 3.5 19781978 6.8 6.8 6.0 2.9 2.2 19791979 6.7 6.7 6.1 4.0 4.2 6.3 19801980 6.7 6.7 6.2 4.6 5.0 6.4 6.6 19811981 7.2 7.3 6.9 5.8 6.4 7.8 8.6 10.7 19821982 9.1 9.4 9.4 8.9 10.1 12.1 14.1 18.1 26.0 19831983 9.1 9.4 9.4 8.9 9.8 11.4 12.7 14.9 17.1 8.7 19841984 9.6 9.9 9.9 9.6 10.5 11.9 13.1 14.8 16.2 11.5 14.4 19851985 10.3 10.6 10.7 10.5 11.4 12.8 13.9 15.4 16.7 13.7 16.2 18.1 19861986 10.5 10.8 10.9 10.8 11.6 12.8 13.8 15.1 16.0 13.6 15.2 15.6 13.2 19871987 10.0 10.2 10.3 10.1 10.8 11.8 12.5 13.4 13.8 11.5 12.3 11.5 8.4 3.8 19881988 9.8 10.0 10.1 9.8 10.4 11.3 11.9 12.6 12.8 10.8 11.2 10.4 7.9 5.4 6.9 19891989 10.0 10.2 10.2 10.1 10.6 11.4 12.0 12.6 12.8 11.0 11.4 10.9 9.1 7.8 9.8 12.8 19901990 9.9 10.1 10.2 10.0 10.5 11.2 11.7 12.2 12.4 10.8 11.1 10.6 9.1 8.1 9.6 10.9 9.1 19911991 10.2 10.4 10.5 10.3 10.8 11.5 12.0 12.5 12.6 11.3 11.6 11.2 10.1 9.4 10.9 12.2 12.0 14.9 19921992 10.0 10.2 10.3 10.1 10.6 11.2 11.6 12.0 12.2 10.8 11.1 10.7 9.7 9.1 10.2 11.0 10.4 11.0 7.3 19931993 10.0 10.2 10.2 10.1 10.5 11.1 11.4 11.8 11.9 10.7 10.9 10.5 9.6 9.1 10.0 10.6 10.1 10.4 8.2 9.1 19941994 9.4 9.5 9.5 9.4 9.7 10.2 10.5 10.7 10.8 9.6 9.6 9.2 8.2 7.6 8.2 8.4 7.5 7.1 4.7 3.4 -2.1 19951995 9.7 9.8 9.8 9.7 10.0 10.5 10.8 11.1 11.1 10.0 10.1 9.7 8.9 8.5 9.1 9.4 8.8 8.8 7.3 7.3 6.4 15.5 19961996 9.4 9.5 9.5 9.4 9.7 10.1 10.4 10.6 10.6 9.6 9.6 9.3 8.5 8.0 8.5 8.7 8.1 7.9 6.6 6.4 5.6 9.6 4.0 19971997 9.3 9.5 9.5 9.3 9.6 10.0 10.2 10.4 10.4 9.5 9.5 9.1 8.4 8.0 8.4 8.6 8.1 7.9 6.8 6.7 6.1 9.0 5.9 7.8 19981998 9.3 9.4 9.4 9.3 9.6 9.9 10.1 10.3 10.3 9.4 9.4 9.1 8.4 8.0 8.4 8.6 8.1 8.0 7.1 7.0 6.6 8.9 6.8 8.2 8.5 19991999 9.0 9.0 9.0 8.9 9.1 9.5 9.6 9.8 9.7 8.8 8.9 8.5 7.8 7.4 7.7 7.8 7.3 7.1 6.2 6.1 5.5 7.1 5.1 5.5 4.4 0.4 20002000 9.0 9.1 9.1 8.9 9.2 9.5 9.6 9.8 9.8 8.9 8.9 8.6 8.0 7.6 7.9 8.0 7.6 7.4 6.6 6.5 6.2 7.6 6.1 6.6 6.2 5.1 10.0 20012001 9.0 9.1 9.1 8.9 9.2 9.5 9.6 9.8 9.7 8.9 8.9 8.6 8.0 7.7 8.0 8.1 7.7 7.6 6.9 6.8 6.5 7.8 6.6 7.1 6.9 6.4 9.5 9.0 20022002 9.0 9.1 9.1 9.0 9.2 9.5 9.6 9.8 9.7 9.0 9.0 8.7 8.1 7.8 8.1 8.2 7.8 7.7 7.1 7.1 6.9 8.0 7.0 7.5 7.5 7.2 9.6 9.3 9.7 20032003 8.9 9.0 9.0 8.8 9.0 9.3 9.4 9.6 9.5 8.8 8.8 8.5 8.0 7.7 7.9 8.0 7.7 7.6 7.0 7.0 6.7 7.8 6.8 7.2 7.1 6.9 8.5 8.1 7.6 5.5 20042004 8.7 8.8 8.8 8.6 8.8 9.1 9.2 9.3 9.2 8.5 8.5 8.2 7.8 7.5 7.7 7.7 7.4 7.3 6.7 6.7 6.4 7.3 6.4 6.8 6.6 6.3 7.5 6.9 6.2 4.5 3.4 20052005 8.5 8.5 8.5 8.4 8.6 8.8 8.9 9.0 8.9 8.2 8.2 7.9 7.4 7.1 7.3 7.3 7.0 6.9 6.3 6.3 6.0 6.8 5.9 6.2 6.0 5.6 6.5 5.8 5.0 3.5 2.5 1.6 20062006 8.3 8.4 8.4 8.2 8.4 8.6 8.7 8.8 8.7 8.1 8.0 7.7 7.3 7.0 7.2 7.2 6.8 6.7 6.2 6.1 5.9 6.6 5.8 6.0 5.7 5.4 6.1 5.5 4.8 3.6 3.0 2.8 4.0 20072007 8.3 8.4 8.3 8.2 8.4 8.6 8.7 8.7 8.7 8.0 8.0 7.7 7.3 7.0 7.2 7.2 6.9 6.7 6.3 6.2 6.0 6.6 5.9 6.1 5.9 5.6 6.3 5.8 5.3 4.4 4.1 4.4 5.8 7.5 20082008 8.2 8.2 8.2 8.1 8.2 8.4 8.5 8.6 8.5 7.9 7.8 7.6 7.1 6.9 7.0 7.0 6.7 6.6 6.1 6.0 5.8 6.4 5.8 5.9 5.7 5.4 6.0 5.5 5.0 4.3 4.0 4.2 5.1 5.6 3.7 20092009 8.2 8.2 8.2 8.1 8.2 8.4 8.5 8.5 8.5 7.9 7.8 7.6 7.2 6.9 7.1 7.1 6.8 6.7 6.2 6.2 6.0 6.5 5.9 6.1 5.9 5.7 6.2 5.8 5.4 4.8 4.7 5.0 5.8 6.4 5.9 8.1 20102010 8.1 8.2 8.1 8.0 8.2 8.3 8.4 8.5 8.4 7.8 7.8 7.5 7.1 6.9 7.0 7.0 6.8 6.6 6.2 6.2 6.0 6.5 6.0 6.1 6.0 5.8 6.3 5.9 5.5 5.0 5.0 5.2 6.0 6.5 6.1 7.3 6.5 20112011 8.1 8.1 8.1 8.0 8.1 8.3 8.3 8.4 8.3 7.8 7.7 7.5 7.1 6.8 7.0 7.0 6.7 6.6 6.2 6.2 6.0 6.5 5.9 6.1 6.0 5.8 6.2 5.9 5.6 5.1 5.1 5.3 5.9 6.3 6.0 6.8 6.2 5.8 20122012 8.0 8.0 8.0 7.9 8.0 8.2 8.2 8.3 8.2 7.7 7.6 7.4 7.0 6.8 6.9 6.9 6.7 6.6 6.2 6.1 6.0 6.4 5.9 6.0 5.9 5.7 6.2 5.8 5.6 5.1 5.1 5.3 5.9 6.2 5.9 6.4 5.9 5.6 5.4

1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

19741926 2012

$20

index data compiled by Dimensional.

index data compiled by Dimensional.

Page 25: Dfa matrix book us_2013 - copy

DIMENSIONAL FUND ADVISORS MATRIX BOOK 201346 47

US INFLATION: CHANGES IN US CONSUmER PRICE INDEX

1926–2012 (%)

Data provided by ibbotson associates.

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

$13

20111926

19261926 -1.5 19271927 -1.8 -2.1 19281928 -1.5 -1.5 -1.0 19291929 -1.1 -1.0 -0.4 0.2 19301930 -2.1 -2.2 -2.3 -3.0 -6.0 19311931 -3.4 -3.7 -4.2 -5.2 -7.8 -9.5 19321932 -4.4 -4.9 -5.4 -6.5 -8.6 -9.9 -10.3 19331933 -3.8 -4.1 -4.5 -5.1 -6.4 -6.6 -5.0 0.5 19341934 -3.2 -3.4 -3.6 -4.0 -4.8 -4.5 -2.7 1.3 2.0 19351935 -2.6 -2.7 -2.8 -3.0 -3.5 -3.0 -1.3 1.8 2.5 3.0 19361936 -2.2 -2.3 -2.3 -2.5 -2.9 -2.3 -0.8 1.7 2.1 2.1 1.2 19371937 -1.8 -1.8 -1.8 -1.9 -2.1 -1.6 -0.2 2.0 2.3 2.4 2.1 3.1 19381938 -1.9 -1.9 -1.9 -2.0 -2.2 -1.7 -0.6 1.2 1.3 1.1 0.5 0.1 -2.8 19391939 -1.8 -1.8 -1.8 -1.8 -2.0 -1.6 -0.6 0.9 1.0 0.8 0.2 -0.1 -1.6 -0.5 19401940 -1.6 -1.6 -1.6 -1.6 -1.8 -1.3 -0.4 0.9 1.0 0.8 0.4 0.2 -0.8 0.2 1.0 19411941 -0.9 -0.9 -0.8 -0.8 -0.9 -0.4 0.6 1.9 2.0 2.0 1.9 2.0 1.7 3.3 5.2 9.7 19421942 -0.3 -0.3 -0.2 -0.1 -0.1 0.4 1.3 2.6 2.8 2.9 2.9 3.2 3.2 4.8 6.6 9.5 9.3 19431943 -0.2 -0.1 0.1 0.1 0.1 0.6 1.5 2.6 2.9 2.9 2.9 3.2 3.2 4.4 5.7 7.4 6.2 3.2 19441944 0.0 0.0 0.2 0.2 0.2 0.7 1.5 2.6 2.8 2.9 2.9 3.1 3.1 4.1 5.0 6.0 4.8 2.6 2.1 19451945 0.1 0.2 0.3 0.4 0.4 0.8 1.6 2.6 2.7 2.8 2.8 3.0 3.0 3.8 4.5 5.3 4.2 2.5 2.2 2.2 19461946 0.9 1.0 1.2 1.3 1.3 1.8 2.6 3.6 3.9 4.0 4.1 4.4 4.5 5.5 6.4 7.3 6.8 6.2 7.3 9.9 18.2 19471947 1.2 1.4 1.5 1.7 1.7 2.2 3.0 4.0 4.2 4.4 4.5 4.8 5.0 5.9 6.7 7.5 7.2 6.8 7.7 9.6 13.5 9.0 19481948 1.3 1.4 1.6 1.7 1.8 2.3 3.0 3.9 4.1 4.3 4.4 4.6 4.8 5.6 6.2 6.9 6.5 6.1 6.7 7.8 9.8 5.8 2.7 19491949 1.2 1.3 1.4 1.5 1.6 2.0 2.7 3.5 3.7 3.8 3.9 4.1 4.2 4.9 5.4 5.9 5.5 4.9 5.2 5.8 6.8 3.2 0.4 -1.8 19501950 1.3 1.5 1.6 1.7 1.8 2.2 2.9 3.7 3.9 4.0 4.0 4.2 4.3 4.9 5.4 5.9 5.5 5.0 5.3 5.8 6.6 3.8 2.2 1.9 5.8 19511951 1.5 1.6 1.8 1.9 2.0 2.4 3.0 3.8 4.0 4.1 4.1 4.3 4.4 5.0 5.5 5.9 5.5 5.1 5.4 5.8 6.4 4.2 3.1 3.2 5.8 5.9 19521952 1.5 1.6 1.8 1.9 1.9 2.3 2.9 3.6 3.8 3.9 4.0 4.1 4.2 4.7 5.1 5.5 5.1 4.7 4.9 5.2 5.6 3.7 2.6 2.6 4.2 3.3 0.9 19531953 1.5 1.6 1.7 1.8 1.9 2.2 2.8 3.5 3.6 3.7 3.8 3.9 4.0 4.4 4.8 5.1 4.7 4.3 4.4 4.7 5.0 3.2 2.3 2.2 3.3 2.4 0.8 0.6 19541954 1.4 1.5 1.6 1.7 1.8 2.1 2.7 3.3 3.4 3.5 3.5 3.7 3.7 4.1 4.4 4.7 4.3 3.9 4.0 4.2 4.4 2.8 1.9 1.8 2.5 1.7 0.3 0.1 -0.5 19551955 1.4 1.5 1.6 1.7 1.7 2.1 2.6 3.2 3.3 3.4 3.4 3.5 3.5 3.9 4.2 4.4 4.0 3.6 3.7 3.8 4.0 2.5 1.7 1.6 2.1 1.4 0.3 0.2 -0.1 0.4 19561956 1.4 1.5 1.6 1.7 1.8 2.1 2.6 3.2 3.3 3.3 3.4 3.5 3.5 3.8 4.1 4.3 3.9 3.6 3.6 3.7 3.9 2.5 1.8 1.7 2.2 1.7 0.8 0.8 0.9 1.6 2.9 19571957 1.5 1.6 1.7 1.8 1.8 2.1 2.6 3.2 3.3 3.3 3.3 3.4 3.5 3.8 4.0 4.2 3.9 3.5 3.6 3.7 3.8 2.6 2.0 1.9 2.3 1.9 1.2 1.3 1.4 2.1 2.9 3.0 19581958 1.5 1.6 1.7 1.8 1.8 2.1 2.6 3.1 3.2 3.3 3.3 3.4 3.4 3.7 3.9 4.1 3.8 3.4 3.4 3.5 3.6 2.5 1.9 1.9 2.3 1.8 1.3 1.3 1.5 2.0 2.5 2.4 1.8 19591959 1.5 1.6 1.7 1.8 1.8 2.1 2.5 3.0 3.1 3.2 3.2 3.3 3.3 3.6 3.8 3.9 3.6 3.3 3.3 3.4 3.5 2.4 1.9 1.8 2.2 1.8 1.3 1.4 1.5 1.9 2.3 2.1 1.6 1.5 19601960 1.5 1.6 1.7 1.7 1.8 2.1 2.5 3.0 3.1 3.1 3.1 3.2 3.2 3.5 3.7 3.8 3.5 3.2 3.2 3.3 3.3 2.4 1.9 1.8 2.1 1.8 1.3 1.4 1.5 1.8 2.1 1.9 1.6 1.5 1.5 19611961 1.4 1.5 1.6 1.7 1.8 2.0 2.4 2.9 3.0 3.0 3.0 3.1 3.1 3.4 3.5 3.7 3.4 3.1 3.1 3.1 3.2 2.2 1.8 1.7 2.0 1.7 1.3 1.3 1.4 1.7 1.9 1.7 1.4 1.2 1.1 0.7 19621962 1.4 1.5 1.6 1.7 1.7 2.0 2.4 2.8 2.9 3.0 3.0 3.0 3.0 3.3 3.4 3.6 3.3 3.0 3.0 3.0 3.1 2.2 1.7 1.7 1.9 1.6 1.3 1.3 1.4 1.6 1.8 1.6 1.3 1.2 1.1 0.9 1.2 19631963 1.4 1.5 1.6 1.7 1.7 2.0 2.4 2.8 2.9 2.9 2.9 3.0 3.0 3.2 3.4 3.5 3.2 2.9 2.9 2.9 3.0 2.2 1.7 1.7 1.9 1.6 1.3 1.3 1.4 1.6 1.8 1.6 1.4 1.3 1.3 1.2 1.4 1.7 19641964 1.4 1.5 1.6 1.7 1.7 2.0 2.3 2.8 2.8 2.9 2.9 2.9 2.9 3.1 3.3 3.4 3.1 2.8 2.8 2.9 2.9 2.1 1.7 1.6 1.9 1.6 1.3 1.3 1.4 1.6 1.7 1.6 1.4 1.3 1.2 1.2 1.4 1.4 1.2 19651965 1.4 1.5 1.6 1.7 1.7 2.0 2.3 2.7 2.8 2.8 2.8 2.9 2.9 3.1 3.2 3.3 3.1 2.8 2.8 2.8 2.8 2.1 1.7 1.7 1.9 1.6 1.3 1.4 1.4 1.6 1.7 1.6 1.4 1.4 1.4 1.3 1.5 1.6 1.6 1.9 19661966 1.5 1.6 1.7 1.7 1.8 2.0 2.4 2.8 2.8 2.8 2.8 2.9 2.9 3.1 3.2 3.3 3.1 2.8 2.8 2.8 2.9 2.2 1.8 1.8 2.0 1.7 1.5 1.5 1.6 1.7 1.9 1.8 1.6 1.6 1.6 1.7 1.9 2.0 2.2 2.6 3.3 19671967 1.5 1.6 1.7 1.8 1.8 2.0 2.4 2.8 2.8 2.9 2.8 2.9 2.9 3.1 3.2 3.3 3.1 2.8 2.8 2.8 2.9 2.2 1.9 1.8 2.0 1.8 1.6 1.6 1.7 1.8 2.0 1.9 1.8 1.8 1.8 1.9 2.1 2.2 2.4 2.8 3.2 3.01968 1.6 1.7 1.8 1.8 1.9 2.1 2.4 2.8 2.9 2.9 2.9 3.0 3.0 3.1 3.3 3.4 3.1 2.9 2.9 2.9 3.0 2.3 2.0 2.0 2.2 2.0 1.7 1.8 1.9 2.1 2.2 2.1 2.0 2.1 2.1 2.2 2.4 2.6 2.8 3.3 3.7 3.91969 1.7 1.8 1.9 1.9 2.0 2.2 2.5 2.9 3.0 3.0 3.0 3.1 3.0 3.2 3.4 3.5 3.2 3.0 3.0 3.0 3.1 2.5 2.2 2.2 2.4 2.2 2.0 2.0 2.1 2.3 2.5 2.4 2.4 2.4 2.5 2.6 2.9 3.1 3.4 3.8 4.3 4.61970 1.8 1.9 2.0 2.0 2.1 2.3 2.6 3.0 3.0 3.1 3.1 3.1 3.1 3.3 3.4 3.5 3.3 3.1 3.1 3.1 3.2 2.6 2.3 2.3 2.5 2.3 2.2 2.2 2.3 2.5 2.7 2.6 2.6 2.7 2.8 2.9 3.2 3.4 3.7 4.1 4.5 4.81971 1.8 1.9 2.0 2.1 2.1 2.3 2.6 3.0 3.0 3.1 3.1 3.1 3.1 3.3 3.4 3.5 3.3 3.1 3.1 3.1 3.2 2.6 2.4 2.4 2.5 2.4 2.2 2.3 2.4 2.6 2.7 2.7 2.7 2.7 2.8 3.0 3.2 3.4 3.6 4.0 4.3 4.51972 1.9 1.9 2.0 2.1 2.1 2.3 2.6 3.0 3.1 3.1 3.1 3.1 3.1 3.3 3.4 3.5 3.3 3.1 3.1 3.2 3.2 2.7 2.4 2.4 2.6 2.4 2.3 2.4 2.4 2.6 2.7 2.7 2.7 2.8 2.9 3.0 3.2 3.4 3.6 3.9 4.2 4.31973 2.0 2.1 2.2 2.2 2.3 2.5 2.8 3.1 3.2 3.2 3.2 3.3 3.3 3.5 3.6 3.7 3.5 3.3 3.3 3.3 3.4 2.9 2.6 2.6 2.8 2.7 2.6 2.6 2.7 2.9 3.1 3.1 3.1 3.2 3.3 3.4 3.7 3.9 4.1 4.4 4.8 5.01974 2.2 2.3 2.4 2.4 2.5 2.7 3.0 3.3 3.4 3.4 3.5 3.5 3.5 3.7 3.8 3.9 3.7 3.6 3.6 3.6 3.7 3.2 3.0 3.0 3.2 3.1 3.0 3.1 3.2 3.4 3.5 3.6 3.6 3.7 3.9 4.0 4.3 4.6 4.8 5.2 5.6 5.81975 2.3 2.4 2.5 2.5 2.6 2.8 3.1 3.4 3.5 3.5 3.5 3.6 3.6 3.8 3.9 4.0 3.8 3.7 3.7 3.7 3.8 3.3 3.1 3.1 3.3 3.2 3.1 3.2 3.4 3.5 3.7 3.7 3.8 3.9 4.1 4.2 4.5 4.7 5.0 5.4 5.7 6.01976 2.3 2.4 2.5 2.6 2.6 2.8 3.1 3.5 3.5 3.6 3.6 3.6 3.6 3.8 3.9 4.0 3.9 3.7 3.7 3.8 3.8 3.4 3.2 3.2 3.4 3.3 3.2 3.3 3.4 3.6 3.8 3.8 3.8 4.0 4.1 4.3 4.5 4.8 5.0 5.3 5.6 5.91977 2.4 2.5 2.6 2.7 2.7 2.9 3.2 3.5 3.6 3.6 3.6 3.7 3.7 3.9 4.0 4.1 3.9 3.8 3.8 3.9 3.9 3.5 3.3 3.3 3.5 3.4 3.3 3.4 3.6 3.7 3.9 3.9 4.0 4.1 4.2 4.4 4.7 4.9 5.1 5.4 5.7 5.91978 2.5 2.6 2.7 2.8 2.8 3.0 3.3 3.6 3.7 3.7 3.8 3.8 3.8 4.0 4.1 4.2 4.1 3.9 4.0 4.0 4.1 3.7 3.5 3.5 3.7 3.6 3.5 3.6 3.8 3.9 4.1 4.2 4.2 4.3 4.5 4.7 4.9 5.1 5.4 5.7 6.0 6.21979 2.7 2.8 2.9 3.0 3.0 3.2 3.5 3.8 3.9 4.0 4.0 4.0 4.1 4.2 4.4 4.4 4.3 4.2 4.2 4.3 4.3 3.9 3.8 3.8 4.0 3.9 3.9 4.0 4.1 4.3 4.5 4.5 4.6 4.8 4.9 5.1 5.4 5.6 5.9 6.2 6.5 6.71980 2.9 3.0 3.1 3.2 3.2 3.4 3.7 4.0 4.1 4.1 4.2 4.2 4.2 4.4 4.5 4.6 4.5 4.4 4.4 4.5 4.5 4.2 4.0 4.1 4.3 4.2 4.2 4.3 4.4 4.6 4.8 4.9 4.9 5.1 5.3 5.5 5.7 6.0 6.2 6.6 6.9 7.11981 3.0 3.1 3.2 3.3 3.3 3.5 3.8 4.1 4.2 4.2 4.3 4.3 4.4 4.5 4.6 4.7 4.6 4.5 4.5 4.6 4.7 4.3 4.2 4.2 4.4 4.4 4.3 4.4 4.6 4.8 4.9 5.0 5.1 5.3 5.4 5.6 5.9 6.1 6.4 6.7 7.0 7.21982 3.0 3.1 3.2 3.3 3.3 3.5 3.8 4.1 4.2 4.2 4.2 4.3 4.3 4.5 4.6 4.7 4.6 4.5 4.5 4.6 4.6 4.3 4.2 4.2 4.4 4.3 4.3 4.4 4.5 4.7 4.9 5.0 5.1 5.2 5.4 5.5 5.8 6.0 6.2 6.5 6.8 7.01983 3.0 3.1 3.2 3.3 3.3 3.5 3.8 4.1 4.2 4.2 4.2 4.3 4.3 4.5 4.6 4.7 4.6 4.5 4.5 4.6 4.6 4.3 4.2 4.2 4.4 4.3 4.3 4.4 4.5 4.7 4.9 4.9 5.0 5.1 5.3 5.5 5.7 5.9 6.1 6.4 6.6 6.81984 3.0 3.1 3.2 3.3 3.4 3.5 3.8 4.1 4.2 4.2 4.2 4.3 4.3 4.5 4.6 4.7 4.6 4.5 4.5 4.5 4.6 4.3 4.1 4.2 4.4 4.3 4.3 4.4 4.5 4.7 4.8 4.9 5.0 5.1 5.2 5.4 5.6 5.8 6.0 6.3 6.5 6.71985 3.1 3.1 3.2 3.3 3.4 3.5 3.8 4.1 4.2 4.2 4.2 4.3 4.3 4.5 4.6 4.7 4.5 4.4 4.5 4.5 4.6 4.3 4.1 4.2 4.3 4.3 4.3 4.4 4.5 4.6 4.8 4.9 4.9 5.0 5.2 5.3 5.5 5.7 5.9 6.1 6.4 6.51986 3.0 3.1 3.2 3.3 3.3 3.5 3.8 4.0 4.1 4.1 4.2 4.2 4.2 4.4 4.5 4.6 4.5 4.4 4.4 4.4 4.5 4.2 4.1 4.1 4.3 4.2 4.2 4.3 4.4 4.5 4.7 4.7 4.8 4.9 5.0 5.2 5.4 5.5 5.7 5.9 6.1 6.21987 3.1 3.1 3.2 3.3 3.3 3.5 3.8 4.0 4.1 4.1 4.2 4.2 4.3 4.4 4.5 4.6 4.5 4.4 4.4 4.4 4.5 4.2 4.1 4.1 4.3 4.2 4.2 4.3 4.4 4.5 4.7 4.7 4.8 4.9 5.0 5.1 5.3 5.5 5.7 5.8 6.0 6.21988 3.1 3.1 3.2 3.3 3.4 3.5 3.8 4.0 4.1 4.2 4.2 4.2 4.3 4.4 4.5 4.6 4.5 4.4 4.4 4.4 4.5 4.2 4.1 4.1 4.3 4.2 4.2 4.3 4.4 4.5 4.7 4.7 4.8 4.9 5.0 5.1 5.3 5.4 5.6 5.8 6.0 6.11989 3.1 3.2 3.3 3.3 3.4 3.6 3.8 4.1 4.1 4.2 4.2 4.2 4.3 4.4 4.5 4.6 4.5 4.4 4.4 4.5 4.5 4.2 4.1 4.1 4.3 4.2 4.2 4.3 4.4 4.5 4.7 4.7 4.8 4.9 5.0 5.1 5.3 5.4 5.6 5.7 5.9 6.01990 3.1 3.2 3.3 3.4 3.4 3.6 3.8 4.1 4.2 4.2 4.2 4.3 4.3 4.4 4.5 4.6 4.5 4.4 4.4 4.5 4.5 4.2 4.1 4.2 4.3 4.3 4.2 4.3 4.4 4.6 4.7 4.8 4.8 4.9 5.0 5.1 5.3 5.4 5.6 5.8 5.9 6.01991 3.1 3.2 3.3 3.4 3.4 3.6 3.8 4.1 4.1 4.2 4.2 4.3 4.3 4.4 4.5 4.6 4.5 4.4 4.4 4.5 4.5 4.2 4.1 4.1 4.3 4.3 4.2 4.3 4.4 4.5 4.7 4.7 4.8 4.8 5.0 5.1 5.2 5.4 5.5 5.7 5.8 5.91992 3.1 3.2 3.3 3.4 3.4 3.6 3.8 4.1 4.1 4.2 4.2 4.2 4.2 4.4 4.5 4.5 4.4 4.4 4.4 4.4 4.5 4.2 4.1 4.1 4.3 4.2 4.2 4.3 4.4 4.5 4.6 4.7 4.7 4.8 4.9 5.0 5.1 5.3 5.4 5.6 5.7 5.81993 3.1 3.2 3.3 3.4 3.4 3.6 3.8 4.0 4.1 4.1 4.2 4.2 4.2 4.4 4.4 4.5 4.4 4.3 4.3 4.4 4.4 4.2 4.1 4.1 4.2 4.2 4.2 4.2 4.3 4.5 4.6 4.6 4.7 4.7 4.8 4.9 5.1 5.2 5.3 5.5 5.6 5.71994 3.1 3.2 3.3 3.3 3.4 3.5 3.8 4.0 4.1 4.1 4.1 4.2 4.2 4.3 4.4 4.5 4.4 4.3 4.3 4.4 4.4 4.1 4.0 4.1 4.2 4.2 4.1 4.2 4.3 4.4 4.5 4.6 4.6 4.7 4.8 4.9 5.0 5.1 5.2 5.4 5.5 5.61995 3.1 3.2 3.3 3.3 3.4 3.5 3.8 4.0 4.0 4.1 4.1 4.2 4.2 4.3 4.4 4.4 4.4 4.3 4.3 4.3 4.4 4.1 4.0 4.0 4.2 4.1 4.1 4.2 4.2 4.4 4.5 4.5 4.5 4.6 4.7 4.8 4.9 5.0 5.2 5.3 5.4 5.51996 3.1 3.2 3.3 3.3 3.4 3.5 3.7 4.0 4.0 4.1 4.1 4.1 4.2 4.3 4.4 4.4 4.3 4.2 4.3 4.3 4.3 4.1 4.0 4.0 4.1 4.1 4.1 4.1 4.2 4.3 4.4 4.5 4.5 4.6 4.7 4.8 4.9 5.0 5.1 5.2 5.3 5.41997 3.1 3.2 3.2 3.3 3.4 3.5 3.7 3.9 4.0 4.0 4.0 4.1 4.1 4.2 4.3 4.4 4.3 4.2 4.2 4.3 4.3 4.0 3.9 4.0 4.1 4.1 4.0 4.1 4.2 4.3 4.4 4.4 4.4 4.5 4.6 4.7 4.8 4.9 5.0 5.1 5.2 5.31998 3.1 3.1 3.2 3.3 3.3 3.5 3.7 3.9 4.0 4.0 4.0 4.1 4.1 4.2 4.3 4.3 4.2 4.1 4.2 4.2 4.2 4.0 3.9 3.9 4.0 4.0 4.0 4.0 4.1 4.2 4.3 4.3 4.4 4.4 4.5 4.6 4.7 4.8 4.9 5.0 5.1 5.21999 3.1 3.1 3.2 3.3 3.3 3.5 3.7 3.9 3.9 4.0 4.0 4.0 4.0 4.2 4.2 4.3 4.2 4.1 4.1 4.2 4.2 4.0 3.9 3.9 4.0 4.0 3.9 4.0 4.1 4.2 4.3 4.3 4.3 4.4 4.5 4.5 4.7 4.7 4.8 4.9 5.0 5.12000 3.1 3.1 3.2 3.3 3.3 3.5 3.7 3.9 3.9 4.0 4.0 4.0 4.0 4.2 4.2 4.3 4.2 4.1 4.1 4.2 4.2 4.0 3.9 3.9 4.0 4.0 3.9 4.0 4.1 4.2 4.2 4.3 4.3 4.4 4.4 4.5 4.6 4.7 4.8 4.9 5.0 5.02001 3.1 3.1 3.2 3.3 3.3 3.4 3.6 3.9 3.9 3.9 3.9 4.0 4.0 4.1 4.2 4.2 4.2 4.1 4.1 4.1 4.1 3.9 3.8 3.8 4.0 3.9 3.9 3.9 4.0 4.1 4.2 4.2 4.2 4.3 4.4 4.4 4.5 4.6 4.7 4.8 4.9 4.92002 3.1 3.1 3.2 3.2 3.3 3.4 3.6 3.8 3.9 3.9 3.9 4.0 4.0 4.1 4.2 4.2 4.1 4.0 4.1 4.1 4.1 3.9 3.8 3.8 3.9 3.9 3.8 3.9 4.0 4.1 4.2 4.2 4.2 4.3 4.3 4.4 4.5 4.6 4.6 4.7 4.8 4.92003 3.0 3.1 3.2 3.2 3.3 3.4 3.6 3.8 3.8 3.9 3.9 3.9 3.9 4.0 4.1 4.2 4.1 4.0 4.0 4.0 4.1 3.8 3.8 3.8 3.9 3.8 3.8 3.9 3.9 4.0 4.1 4.1 4.2 4.2 4.3 4.3 4.4 4.5 4.6 4.7 4.7 4.82004 3.0 3.1 3.2 3.2 3.3 3.4 3.6 3.8 3.8 3.9 3.9 3.9 3.9 4.0 4.1 4.2 4.1 4.0 4.0 4.0 4.1 3.8 3.7 3.8 3.9 3.8 3.8 3.9 3.9 4.0 4.1 4.1 4.1 4.2 4.2 4.3 4.4 4.5 4.5 4.6 4.7 4.72005 3.0 3.1 3.2 3.2 3.3 3.4 3.6 3.8 3.8 3.9 3.9 3.9 3.9 4.0 4.1 4.1 4.1 4.0 4.0 4.0 4.1 3.8 3.7 3.8 3.9 3.8 3.8 3.8 3.9 4.0 4.1 4.1 4.1 4.2 4.2 4.3 4.4 4.4 4.5 4.6 4.7 4.72006 3.0 3.1 3.2 3.2 3.3 3.4 3.6 3.8 3.8 3.8 3.9 3.9 3.9 4.0 4.1 4.1 4.0 4.0 4.0 4.0 4.0 3.8 3.7 3.7 3.8 3.8 3.8 3.8 3.9 4.0 4.0 4.1 4.1 4.1 4.2 4.3 4.3 4.4 4.5 4.5 4.6 4.62007 3.1 3.1 3.2 3.2 3.3 3.4 3.6 3.8 3.8 3.8 3.9 3.9 3.9 4.0 4.1 4.1 4.0 4.0 4.0 4.0 4.0 3.8 3.7 3.7 3.8 3.8 3.8 3.8 3.9 4.0 4.0 4.1 4.1 4.1 4.2 4.2 4.3 4.4 4.5 4.5 4.6 4.62008 3.0 3.1 3.1 3.2 3.2 3.4 3.5 3.7 3.8 3.8 3.8 3.8 3.9 3.9 4.0 4.1 4.0 3.9 3.9 3.9 4.0 3.8 3.7 3.7 3.8 3.7 3.7 3.8 3.8 3.9 4.0 4.0 4.0 4.1 4.1 4.2 4.2 4.3 4.4 4.4 4.5 4.52009 3.0 3.1 3.1 3.2 3.2 3.3 3.5 3.7 3.8 3.8 3.8 3.8 3.8 3.9 4.0 4.0 4.0 3.9 3.9 3.9 3.9 3.7 3.7 3.7 3.8 3.7 3.7 3.7 3.8 3.9 3.9 4.0 4.0 4.0 4.1 4.1 4.2 4.3 4.3 4.4 4.5 4.52010 3.0 3.0 3.1 3.2 3.2 3.3 3.5 3.7 3.7 3.7 3.8 3.8 3.8 3.9 4.0 4.0 3.9 3.8 3.9 3.9 3.9 3.7 3.6 3.6 3.7 3.7 3.7 3.7 3.8 3.8 3.9 3.9 3.9 4.0 4.0 4.1 4.1 4.2 4.3 4.3 4.4 4.42011 3.0 3.0 3.1 3.2 3.2 3.3 3.5 3.7 3.7 3.7 3.7 3.8 3.8 3.9 3.9 4.0 3.9 3.8 3.8 3.9 3.9 3.7 3.6 3.6 3.7 3.7 3.6 3.7 3.7 3.8 3.9 3.9 3.9 4.0 4.0 4.1 4.1 4.2 4.2 4.3 4.4 4.42012 3.0 3.0 3.1 3.1 3.2 3.3 3.5 3.7 3.7 3.7 3.7 3.8 3.8 3.9 3.9 4.0 3.9 3.8 3.8 3.8 3.9 3.7 3.6 3.6 3.7 3.6 3.6 3.7 3.7 3.8 3.8 3.9 3.9 3.9 4.0 4.0 4.1 4.1 4.2 4.3 4.3 4.3

1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967

19681968 4.7 19691969 5.4 6.1 19701970 5.4 5.8 5.5 19711971 4.9 5.0 4.4 3.4 19721972 4.6 4.6 4.1 3.4 3.4 19731973 5.3 5.4 5.2 5.2 6.1 8.8 19741974 6.3 6.5 6.6 6.9 8.1 10.5 12.2 19751975 6.3 6.6 6.7 6.9 7.8 9.3 9.6 7.0 19761976 6.2 6.4 6.4 6.6 7.2 8.2 8.0 5.9 4.8 19771977 6.2 6.4 6.4 6.6 7.1 7.9 7.7 6.2 5.8 6.8 19781978 6.5 6.7 6.7 6.9 7.4 8.1 7.9 6.9 6.9 7.9 9.0 19791979 7.0 7.3 7.4 7.6 8.1 8.8 8.8 8.2 8.4 9.7 11.2 13.3 19801980 7.4 7.7 7.8 8.1 8.6 9.3 9.3 8.9 9.2 10.4 11.6 12.9 12.4 19811981 7.6 7.8 7.9 8.1 8.6 9.2 9.3 8.9 9.2 10.1 10.9 11.5 10.7 8.9 19821982 7.3 7.5 7.6 7.8 8.2 8.7 8.7 8.2 8.4 9.0 9.5 9.6 8.3 6.4 3.9 19831983 7.1 7.2 7.3 7.5 7.8 8.2 8.2 7.7 7.8 8.2 8.5 8.4 7.2 5.5 3.8 3.8 19841984 6.9 7.0 7.1 7.2 7.5 7.9 7.8 7.3 7.4 7.7 7.8 7.7 6.6 5.1 3.9 3.9 4.0 19851985 6.7 6.8 6.9 7.0 7.2 7.5 7.4 7.0 7.0 7.3 7.3 7.1 6.1 4.9 3.9 3.9 3.9 3.8 19861986 6.4 6.5 6.5 6.6 6.8 7.1 6.9 6.5 6.5 6.6 6.6 6.3 5.4 4.2 3.3 3.2 3.0 2.4 1.1 19871987 6.3 6.4 6.4 6.5 6.7 6.9 6.8 6.4 6.3 6.4 6.4 6.1 5.2 4.3 3.5 3.4 3.3 3.1 2.8 4.4 19881988 6.2 6.3 6.3 6.4 6.5 6.7 6.6 6.2 6.2 6.3 6.2 5.9 5.2 4.3 3.6 3.6 3.5 3.4 3.3 4.4 4.4 19891989 6.2 6.2 6.2 6.3 6.4 6.6 6.5 6.1 6.0 6.1 6.1 5.8 5.1 4.3 3.8 3.7 3.7 3.7 3.6 4.5 4.5 4.6 19901990 6.2 6.2 6.2 6.3 6.4 6.6 6.5 6.1 6.0 6.1 6.1 5.8 5.2 4.5 4.0 4.0 4.1 4.1 4.1 4.9 5.1 5.4 6.1 19911991 6.0 6.1 6.1 6.1 6.2 6.4 6.3 5.9 5.9 5.9 5.9 5.6 5.0 4.4 3.9 3.9 3.9 3.9 4.0 4.5 4.6 4.6 4.6 3.1 19921992 5.9 6.0 5.9 6.0 6.1 6.2 6.1 5.8 5.7 5.7 5.7 5.4 4.9 4.3 3.8 3.8 3.8 3.8 3.8 4.3 4.2 4.2 4.1 3.1 3.0 19931993 5.8 5.8 5.8 5.8 5.9 6.1 5.9 5.6 5.5 5.6 5.5 5.3 4.7 4.1 3.7 3.7 3.7 3.7 3.7 4.1 4.0 3.9 3.7 3.0 2.9 2.8 19941994 5.7 5.7 5.7 5.7 5.8 5.9 5.8 5.5 5.4 5.4 5.3 5.1 4.6 4.0 3.7 3.6 3.6 3.6 3.6 3.9 3.8 3.7 3.5 2.9 2.8 2.7 2.7 19951995 5.6 5.6 5.6 5.6 5.7 5.8 5.6 5.3 5.2 5.3 5.2 5.0 4.5 3.9 3.6 3.6 3.6 3.5 3.5 3.7 3.7 3.6 3.4 2.8 2.8 2.7 2.7 2.7 19961996 5.5 5.5 5.5 5.5 5.6 5.7 5.5 5.2 5.1 5.2 5.1 4.9 4.4 3.9 3.6 3.6 3.5 3.5 3.5 3.7 3.6 3.5 3.4 2.9 2.9 2.9 2.9 3.0 3.3 19971997 5.3 5.4 5.3 5.3 5.4 5.5 5.4 5.1 5.0 5.0 4.9 4.7 4.2 3.8 3.5 3.4 3.4 3.4 3.3 3.5 3.4 3.3 3.2 2.7 2.7 2.6 2.6 2.6 2.5 1.7 19981998 5.2 5.2 5.2 5.2 5.3 5.3 5.2 4.9 4.8 4.8 4.7 4.5 4.1 3.6 3.3 3.3 3.3 3.2 3.2 3.4 3.3 3.1 3.0 2.6 2.5 2.5 2.4 2.3 2.2 1.7 1.6 19991999 5.1 5.2 5.1 5.1 5.2 5.2 5.1 4.8 4.7 4.7 4.7 4.4 4.0 3.6 3.3 3.3 3.2 3.2 3.2 3.3 3.2 3.1 3.0 2.6 2.6 2.5 2.4 2.4 2.3 2.0 2.1 2.7 20002000 5.1 5.1 5.1 5.1 5.1 5.2 5.0 4.8 4.7 4.7 4.6 4.4 4.0 3.6 3.3 3.3 3.3 3.2 3.2 3.3 3.2 3.1 3.0 2.7 2.6 2.6 2.6 2.6 2.5 2.3 2.6 3.0 3.4 20012001 5.0 5.0 5.0 4.9 5.0 5.0 4.9 4.7 4.6 4.6 4.5 4.3 3.9 3.5 3.2 3.2 3.2 3.1 3.1 3.2 3.1 3.0 2.9 2.6 2.5 2.5 2.4 2.4 2.4 2.2 2.3 2.5 2.5 1.6 20022002 4.9 4.9 4.9 4.9 4.9 5.0 4.8 4.6 4.5 4.5 4.4 4.2 3.8 3.4 3.2 3.2 3.1 3.1 3.0 3.1 3.1 3.0 2.8 2.6 2.5 2.5 2.4 2.4 2.4 2.2 2.3 2.5 2.4 2.0 2.4 20032003 4.8 4.8 4.8 4.8 4.8 4.9 4.7 4.5 4.4 4.4 4.3 4.1 3.7 3.4 3.1 3.1 3.1 3.0 3.0 3.1 3.0 2.9 2.8 2.5 2.5 2.4 2.4 2.4 2.3 2.2 2.2 2.4 2.3 1.9 2.1 1.9 20042004 4.8 4.8 4.7 4.7 4.8 4.8 4.7 4.4 4.4 4.3 4.2 4.1 3.7 3.4 3.1 3.1 3.1 3.0 3.0 3.1 3.0 2.9 2.8 2.6 2.5 2.5 2.5 2.4 2.4 2.3 2.4 2.5 2.5 2.3 2.5 2.6 3.3 20052005 4.7 4.7 4.7 4.7 4.7 4.8 4.6 4.4 4.3 4.3 4.2 4.0 3.7 3.4 3.1 3.1 3.1 3.0 3.0 3.1 3.0 2.9 2.8 2.6 2.6 2.6 2.5 2.5 2.5 2.4 2.5 2.6 2.6 2.5 2.7 2.8 3.3 3.4 20062006 4.7 4.7 4.6 4.6 4.7 4.7 4.6 4.3 4.3 4.2 4.2 4.0 3.7 3.3 3.1 3.1 3.1 3.0 3.0 3.1 3.0 2.9 2.8 2.6 2.6 2.6 2.5 2.5 2.5 2.4 2.5 2.6 2.6 2.5 2.7 2.8 3.1 3.0 2.5 20072007 4.7 4.7 4.6 4.6 4.6 4.7 4.6 4.3 4.3 4.2 4.2 4.0 3.7 3.4 3.2 3.1 3.1 3.1 3.0 3.1 3.1 3.0 2.9 2.7 2.7 2.7 2.7 2.6 2.6 2.6 2.7 2.8 2.8 2.7 2.9 3.0 3.3 3.3 3.3 4.1 20082008 4.6 4.6 4.5 4.5 4.5 4.6 4.4 4.2 4.1 4.1 4.0 3.9 3.5 3.2 3.0 3.0 3.0 2.9 2.9 3.0 2.9 2.8 2.7 2.6 2.5 2.5 2.5 2.5 2.4 2.4 2.4 2.5 2.5 2.4 2.5 2.5 2.7 2.5 2.2 2.1 0.1 20092009 4.5 4.5 4.5 4.4 4.5 4.5 4.4 4.2 4.1 4.1 4.0 3.8 3.5 3.2 3.0 3.0 3.0 2.9 2.9 3.0 2.9 2.8 2.7 2.6 2.5 2.5 2.5 2.5 2.5 2.4 2.5 2.5 2.5 2.4 2.5 2.6 2.7 2.6 2.4 2.3 1.4 2.7 20102010 4.4 4.4 4.4 4.4 4.4 4.4 4.3 4.1 4.0 4.0 3.9 3.7 3.5 3.2 3.0 2.9 2.9 2.9 2.8 2.9 2.8 2.8 2.7 2.5 2.5 2.5 2.4 2.4 2.4 2.3 2.4 2.5 2.4 2.3 2.4 2.4 2.5 2.4 2.2 2.1 1.4 2.1 1.5 20112011 4.4 4.4 4.4 4.3 4.4 4.4 4.3 4.1 4.0 4.0 3.9 3.7 3.4 3.2 3.0 2.9 2.9 2.9 2.8 2.9 2.8 2.8 2.7 2.5 2.5 2.5 2.5 2.5 2.4 2.4 2.4 2.5 2.5 2.4 2.5 2.5 2.6 2.5 2.3 2.3 1.8 2.4 2.2 3.0 20122012 4.3 4.3 4.3 4.3 4.3 4.3 4.2 4.0 3.9 3.9 3.8 3.7 3.4 3.1 2.9 2.9 2.9 2.8 2.8 2.9 2.8 2.7 2.7 2.5 2.5 2.4 2.4 2.4 2.4 2.3 2.4 2.4 2.4 2.3 2.4 2.4 2.5 2.4 2.2 2.2 1.8 2.2 2.1 2.3 1.7

1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

Page 26: Dfa matrix book us_2013 - copy

DIMENSIONAL FUND ADVISORS MATRIX BOOK 201348 49

FAmA/FRENCH US SmALL CAP INDEX

1927–2012: Real Returns (%), Inflation-Adjusted

Data provided by fama/french.

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

1927

$1,117

2012

19271927 30.8 19281928 34.9 39.2 19291929 4.6 -6.5 -37.2 19301930 -7.3 -17.3 -36.3 -35.3 19311931 -15.9 -24.7 -38.6 -39.3 -43.1 19321932 -12.6 -19.4 -29.7 -27.0 -22.4 5.9 19331933 0.0 -4.4 -11.3 -3.4 10.5 53.9 123.8 19341934 1.8 -1.8 -7.3 0.2 11.8 40.0 60.9 15.7 19351935 6.9 4.3 0.1 8.1 19.8 44.4 60.1 35.4 58.3 19361936 10.9 8.8 5.5 13.7 24.9 46.1 58.4 41.1 55.9 53.4 19371937 3.0 0.5 -3.1 2.4 9.3 21.8 25.3 8.4 6.1 -13.2 -50.9 19381938 5.7 3.7 0.7 6.1 12.8 24.4 27.8 14.3 13.9 2.1 -16.8 41.1 19391939 5.3 3.4 0.7 5.5 11.4 21.2 23.6 11.9 11.2 1.8 -11.2 19.3 1.0 19401940 4.5 2.7 0.1 4.5 9.6 17.9 19.5 9.2 8.2 0.2 -9.9 10.3 -2.5 -5.8 19411941 2.7 1.0 -1.5 2.3 6.6 13.5 14.4 5.2 3.8 -3.2 -11.8 2.1 -8.3 -12.6 -18.9 19421942 3.7 2.1 -0.2 3.5 7.6 14.0 14.8 6.6 5.6 -0.4 -7.3 5.3 -2.2 -3.2 -1.9 18.7 19431943 6.4 5.1 3.1 6.8 11.0 17.4 18.5 11.2 10.7 5.9 0.4 13.1 8.2 10.1 16.0 38.7 62.2 19441944 8.0 6.8 5.1 8.8 12.9 19.0 20.1 13.5 13.3 9.2 4.6 16.6 12.9 15.5 21.5 39.0 50.5 39.6 19451945 10.4 9.3 7.8 11.5 15.6 21.6 22.9 17.0 17.1 13.6 9.9 21.5 18.9 22.2 28.7 44.5 54.3 50.4 62.1 19461946 8.3 7.2 5.7 9.0 12.6 17.8 18.8 13.1 12.9 9.5 5.8 15.3 12.4 14.1 17.8 26.9 29.1 19.6 10.8 -24.3 19471947 7.4 6.3 4.8 7.9 11.2 15.9 16.6 11.3 11.0 7.7 4.3 12.5 9.7 10.8 13.4 19.9 20.2 11.5 3.5 -17.3 -9.7 19481948 6.7 5.6 4.2 7.0 10.0 14.4 14.9 9.9 9.5 6.5 3.3 10.5 7.8 8.6 10.6 15.6 15.1 7.4 0.6 -14.2 -8.6 -7.5 19491949 7.4 6.4 5.1 7.8 10.7 14.9 15.5 10.8 10.5 7.7 4.8 11.6 9.3 10.1 12.0 16.7 16.4 10.1 5.0 -5.8 1.3 7.4 24.6 19501950 8.3 7.4 6.2 8.9 11.7 15.8 16.3 12.0 11.7 9.2 6.5 13.1 11.0 12.0 13.9 18.3 18.2 13.0 9.1 0.8 8.3 15.1 28.3 32.2 19511951 8.3 7.4 6.2 8.8 11.5 15.4 15.9 11.7 11.5 9.1 6.6 12.7 10.8 11.6 13.3 17.2 17.0 12.4 8.9 2.0 8.2 13.2 21.1 19.4 7.9 19521952 8.3 7.5 6.3 8.8 11.4 15.0 15.5 11.5 11.3 9.0 6.7 12.4 10.6 11.4 12.9 16.4 16.1 11.9 8.9 2.8 8.2 12.2 17.8 15.6 8.1 8.3 19531953 7.8 7.0 5.9 8.2 10.7 14.1 14.5 10.7 10.5 8.3 6.1 11.3 9.6 10.2 11.5 14.5 14.2 10.2 7.4 2.0 6.4 9.4 13.1 10.4 4.0 2.1 -3.7 19541954 9.4 8.6 7.6 10.0 12.4 15.8 16.3 12.7 12.5 10.5 8.5 13.7 12.2 13.0 14.5 17.6 17.5 14.1 11.8 7.3 12.0 15.6 19.9 19.0 15.9 18.7 24.3 60.6 19551955 9.7 9.0 8.0 10.3 12.7 16.0 16.4 13.0 12.9 11.0 9.1 14.1 12.6 13.4 14.8 17.7 17.6 14.5 12.5 8.5 12.9 16.1 19.9 19.2 16.7 19.0 22.8 38.7 19.9 19561956 9.5 8.9 7.9 10.1 12.4 15.5 15.9 12.6 12.5 10.7 8.9 13.5 12.2 12.9 14.1 16.8 16.6 13.7 11.8 8.1 12.0 14.7 17.8 16.9 14.5 15.9 17.8 26.1 11.7 4.1 19571957 8.5 7.8 6.9 8.9 11.0 13.9 14.3 11.1 10.9 9.1 7.4 11.6 10.3 10.8 11.9 14.2 13.9 11.0 9.1 5.5 8.8 10.8 13.1 11.7 9.1 9.3 9.5 13.0 0.5 -7.9 -18.5 19581958 9.8 9.2 8.3 10.4 12.5 15.4 15.8 12.8 12.7 11.0 9.4 13.6 12.4 13.0 14.2 16.5 16.4 13.8 12.2 9.1 12.4 14.7 17.2 16.4 14.5 15.5 16.8 21.4 13.2 11.0 14.7 61.4 19591959 10.0 9.5 8.6 10.6 12.7 15.5 15.8 12.9 12.8 11.2 9.7 13.8 12.6 13.2 14.3 16.5 16.4 14.0 12.5 9.6 12.8 14.9 17.2 16.4 14.8 15.7 16.8 20.6 13.9 12.5 15.5 37.4 17.0 19601960 9.6 9.0 8.2 10.1 12.1 14.7 15.0 12.2 12.1 10.6 9.1 12.9 11.8 12.3 13.3 15.3 15.1 12.8 11.4 8.6 11.4 13.3 15.2 14.4 12.7 13.3 13.9 16.7 10.6 8.9 10.1 21.8 5.8 -4.4 19611961 10.1 9.5 8.7 10.6 12.6 15.1 15.5 12.8 12.7 11.2 9.8 13.5 12.5 13.0 14.0 15.9 15.8 13.7 12.3 9.7 12.5 14.3 16.1 15.5 14.1 14.7 15.4 18.1 13.0 11.9 13.5 23.3 12.8 10.7 28.2 19621962 9.3 8.7 7.9 9.7 11.6 14.0 14.3 11.7 11.5 10.1 8.7 12.2 11.1 11.6 12.5 14.2 14.0 11.9 10.5 8.1 10.5 12.0 13.5 12.7 11.3 11.6 11.9 13.8 9.0 7.5 8.1 14.4 4.9 1.2 4.1 -15.4 19631963 9.5 8.9 8.2 9.9 11.7 14.1 14.4 11.8 11.7 10.3 9.0 12.4 11.3 11.8 12.6 14.3 14.1 12.1 10.8 8.5 10.9 12.3 13.8 13.0 11.7 12.0 12.3 14.1 9.8 8.6 9.3 14.8 7.2 4.9 8.2 -0.6 16.7 19641964 9.6 9.1 8.4 10.1 11.8 14.1 14.4 12.0 11.8 10.5 9.2 12.5 11.5 12.0 12.8 14.4 14.2 12.3 11.1 8.9 11.1 12.5 13.9 13.2 12.0 12.3 12.6 14.3 10.4 9.4 10.1 15.0 8.6 7.0 10.1 4.7 16.4 16.1 19651965 10.2 9.8 9.1 10.7 12.5 14.7 15.0 12.6 12.5 11.3 10.0 13.3 12.3 12.8 13.6 15.2 15.1 13.3 12.2 10.1 12.3 13.7 15.1 14.5 13.4 13.8 14.3 15.9 12.5 11.8 12.7 17.4 12.1 11.4 14.8 11.7 22.5 25.6 35.7 19661966 9.7 9.2 8.5 10.1 11.8 14.0 14.2 11.9 11.8 10.5 9.3 12.4 11.5 11.9 12.6 14.1 13.9 12.2 11.1 9.1 11.1 12.3 13.6 12.9 11.8 12.1 12.4 13.7 10.5 9.7 10.3 14.0 9.2 8.1 10.4 7.1 13.6 12.6 10.9 -9.4 19671967 10.9 10.4 9.8 11.4 13.1 15.2 15.5 13.3 13.2 12.0 10.9 14.0 13.1 13.6 14.4 15.9 15.8 14.2 13.2 11.4 13.4 14.7 16.0 15.6 14.7 15.1 15.6 17.1 14.3 13.8 14.8 18.8 14.8 14.5 17.5 15.8 23.3 25.0 28.1 24.5 70.91968 11.4 10.9 10.3 11.9 13.6 15.7 16.0 13.8 13.8 12.6 11.5 14.5 13.7 14.2 15.0 16.5 16.4 14.9 13.9 12.2 14.2 15.5 16.8 16.4 15.6 16.1 16.6 18.1 15.5 15.2 16.2 20.0 16.5 16.4 19.3 18.1 24.8 26.5 29.3 27.2 50.71969 10.2 9.8 9.2 10.7 12.2 14.2 14.5 12.4 12.3 11.1 10.0 12.9 12.0 12.4 13.1 14.5 14.3 12.8 11.8 10.1 11.9 13.0 14.1 13.6 12.7 13.0 13.3 14.4 11.9 11.3 11.9 14.9 11.4 10.9 12.7 10.9 15.3 15.0 14.8 10.1 17.51970 9.6 9.1 8.5 9.9 11.4 13.3 13.5 11.5 11.4 10.2 9.2 11.9 11.0 11.4 12.0 13.3 13.1 11.6 10.6 8.9 10.6 11.6 12.5 12.0 11.1 11.2 11.4 12.4 9.9 9.3 9.6 12.2 8.8 8.1 9.4 7.5 10.8 10.0 9.0 4.3 8.01971 9.7 9.3 8.7 10.1 11.5 13.4 13.6 11.6 11.5 10.4 9.4 12.0 11.2 11.6 12.2 13.4 13.2 11.8 10.8 9.2 10.9 11.8 12.7 12.2 11.3 11.5 11.7 12.6 10.3 9.7 10.1 12.5 9.4 8.8 10.1 8.4 11.5 10.8 10.1 6.3 9.81972 9.5 9.1 8.5 9.9 11.3 13.1 13.3 11.3 11.2 10.2 9.2 11.7 10.9 11.2 11.8 13.0 12.8 11.4 10.5 8.9 10.5 11.4 12.2 11.7 10.9 11.0 11.2 12.0 9.8 9.2 9.5 11.7 8.8 8.2 9.4 7.8 10.4 9.8 9.0 5.6 8.31973 8.1 7.7 7.1 8.4 9.7 11.4 11.5 9.6 9.5 8.4 7.4 9.8 9.0 9.2 9.7 10.7 10.5 9.1 8.2 6.6 8.0 8.7 9.4 8.8 7.9 7.9 7.9 8.5 6.3 5.6 5.7 7.4 4.6 3.7 4.4 2.6 4.4 3.3 1.9 -1.7 -0.51974 6.9 6.5 5.9 7.1 8.3 10.0 10.1 8.2 8.0 7.0 5.9 8.2 7.4 7.6 8.0 8.9 8.6 7.2 6.3 4.8 6.0 6.6 7.2 6.6 5.6 5.5 5.4 5.8 3.6 2.9 2.8 4.2 1.4 0.4 0.8 -1.1 0.2 -1.1 -2.7 -6.2 -5.91975 7.6 7.1 6.6 7.8 9.0 10.6 10.8 8.9 8.8 7.7 6.8 9.0 8.2 8.4 8.9 9.8 9.5 8.2 7.3 5.9 7.1 7.7 8.4 7.8 6.9 6.9 6.8 7.3 5.3 4.6 4.6 6.1 3.5 2.7 3.2 1.6 3.0 2.0 0.8 -2.2 -1.41976 8.2 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6.7 6.3 6.8 5.8 7.1 6.6 6.0 4.4 5.41982 8.8 8.4 7.9 9.0 10.1 11.5 11.7 10.1 10.0 9.1 8.3 10.2 9.6 9.8 10.2 11.1 10.9 9.8 9.1 8.0 9.0 9.6 10.2 9.7 9.1 9.2 9.2 9.7 8.2 7.8 7.9 9.1 7.4 7.0 7.5 6.6 7.8 7.4 6.9 5.4 6.41983 9.1 8.7 8.3 9.3 10.4 11.9 12.0 10.4 10.3 9.5 8.7 10.6 10.0 10.2 10.6 11.5 11.3 10.2 9.6 8.5 9.5 10.1 10.6 10.3 9.7 9.7 9.8 10.2 8.8 8.4 8.6 9.8 8.1 7.8 8.4 7.5 8.8 8.4 8.0 6.6 7.61984 8.8 8.4 7.9 9.0 10.1 11.5 11.6 10.1 9.9 9.1 8.4 10.2 9.6 9.8 10.2 11.0 10.8 9.8 9.1 8.0 9.0 9.6 10.1 9.7 9.1 9.2 9.2 9.6 8.2 7.9 8.0 9.1 7.5 7.1 7.6 6.8 8.0 7.6 7.2 5.8 6.71985 9.1 8.7 8.3 9.3 10.4 11.7 11.8 10.4 10.3 9.5 8.7 10.5 9.9 10.2 10.5 11.3 11.1 10.2 9.5 8.5 9.5 10.0 10.5 10.2 9.6 9.6 9.7 10.1 8.8 8.4 8.6 9.7 8.2 7.8 8.4 7.6 8.7 8.4 8.0 6.8 7.71986 9.0 8.7 8.2 9.3 10.3 11.6 11.7 10.3 10.2 9.4 8.7 10.4 9.9 10.1 10.4 11.2 11.0 10.1 9.4 8.4 9.4 9.9 10.4 10.1 9.5 9.5 9.6 10.0 8.7 8.4 8.5 9.6 8.1 7.8 8.3 7.6 8.6 8.3 8.0 6.8 7.71987 8.6 8.3 7.8 8.9 9.9 11.2 11.3 9.8 9.7 8.9 8.2 9.9 9.4 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8.8 8.3 9.5 9.1 9.3 9.5 10.0 9.8 9.2 8.8 8.1 8.7 9.1 9.4 9.1 8.8 8.8 8.8 9.0 8.3 8.1 8.1 8.7 7.9 7.7 8.0 7.6 8.2 8.0 7.8 7.3 7.72011 8.4 8.2 7.9 8.6 9.3 10.2 10.2 9.2 9.1 8.6 8.1 9.3 8.9 9.0 9.2 9.7 9.6 8.9 8.5 7.9 8.5 8.8 9.0 8.8 8.5 8.5 8.5 8.7 8.0 7.8 7.8 8.4 7.6 7.4 7.7 7.3 7.8 7.6 7.4 6.9 7.32012 8.5 8.3 7.9 8.6 9.3 10.2 10.3 9.3 9.2 8.7 8.2 9.3 9.0 9.1 9.3 9.8 9.6 9.0 8.6 8.0 8.6 8.9 9.1 8.9 8.6 8.6 8.6 8.8 8.1 7.9 8.0 8.5 7.7 7.6 7.8 7.4 7.9 7.8 7.6 7.1 7.5

1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967

19681968 4.7 19691969 5.4 6.1 19701970 5.4 5.8 5.5 19711971 4.9 5.0 4.4 3.4 19721972 4.6 4.6 4.1 3.4 3.4 19731973 5.3 5.4 5.2 5.2 6.1 8.8 19741974 6.3 6.5 6.6 6.9 8.1 10.5 12.2 19751975 6.3 6.6 6.7 6.9 7.8 9.3 9.6 7.0 19761976 6.2 6.4 6.4 6.6 7.2 8.2 8.0 5.9 4.8 19771977 6.2 6.4 6.4 6.6 7.1 7.9 7.7 6.2 5.8 6.8 19781978 6.5 6.7 6.7 6.9 7.4 8.1 7.9 6.9 6.9 7.9 9.0 19791979 7.0 7.3 7.4 7.6 8.1 8.8 8.8 8.2 8.4 9.7 11.2 13.3 19801980 7.4 7.7 7.8 8.1 8.6 9.3 9.3 8.9 9.2 10.4 11.6 12.9 12.4 19811981 7.6 7.8 7.9 8.1 8.6 9.2 9.3 8.9 9.2 10.1 10.9 11.5 10.7 8.9 19821982 7.3 7.5 7.6 7.8 8.2 8.7 8.7 8.2 8.4 9.0 9.5 9.6 8.3 6.4 3.9 19831983 7.1 7.2 7.3 7.5 7.8 8.2 8.2 7.7 7.8 8.2 8.5 8.4 7.2 5.5 3.8 3.8 19841984 6.9 7.0 7.1 7.2 7.5 7.9 7.8 7.3 7.4 7.7 7.8 7.7 6.6 5.1 3.9 3.9 4.0 19851985 6.7 6.8 6.9 7.0 7.2 7.5 7.4 7.0 7.0 7.3 7.3 7.1 6.1 4.9 3.9 3.9 3.9 3.8 19861986 6.4 6.5 6.5 6.6 6.8 7.1 6.9 6.5 6.5 6.6 6.6 6.3 5.4 4.2 3.3 3.2 3.0 2.4 1.1 19871987 6.3 6.4 6.4 6.5 6.7 6.9 6.8 6.4 6.3 6.4 6.4 6.1 5.2 4.3 3.5 3.4 3.3 3.1 2.8 4.4 19881988 6.2 6.3 6.3 6.4 6.5 6.7 6.6 6.2 6.2 6.3 6.2 5.9 5.2 4.3 3.6 3.6 3.5 3.4 3.3 4.4 4.4 19891989 6.2 6.2 6.2 6.3 6.4 6.6 6.5 6.1 6.0 6.1 6.1 5.8 5.1 4.3 3.8 3.7 3.7 3.7 3.6 4.5 4.5 4.6 19901990 6.2 6.2 6.2 6.3 6.4 6.6 6.5 6.1 6.0 6.1 6.1 5.8 5.2 4.5 4.0 4.0 4.1 4.1 4.1 4.9 5.1 5.4 6.1 19911991 6.0 6.1 6.1 6.1 6.2 6.4 6.3 5.9 5.9 5.9 5.9 5.6 5.0 4.4 3.9 3.9 3.9 3.9 4.0 4.5 4.6 4.6 4.6 3.1 19921992 5.9 6.0 5.9 6.0 6.1 6.2 6.1 5.8 5.7 5.7 5.7 5.4 4.9 4.3 3.8 3.8 3.8 3.8 3.8 4.3 4.2 4.2 4.1 3.1 3.0 19931993 5.8 5.8 5.8 5.8 5.9 6.1 5.9 5.6 5.5 5.6 5.5 5.3 4.7 4.1 3.7 3.7 3.7 3.7 3.7 4.1 4.0 3.9 3.7 3.0 2.9 2.8 19941994 5.7 5.7 5.7 5.7 5.8 5.9 5.8 5.5 5.4 5.4 5.3 5.1 4.6 4.0 3.7 3.6 3.6 3.6 3.6 3.9 3.8 3.7 3.5 2.9 2.8 2.7 2.7 19951995 5.6 5.6 5.6 5.6 5.7 5.8 5.6 5.3 5.2 5.3 5.2 5.0 4.5 3.9 3.6 3.6 3.6 3.5 3.5 3.7 3.7 3.6 3.4 2.8 2.8 2.7 2.7 2.7 19961996 5.5 5.5 5.5 5.5 5.6 5.7 5.5 5.2 5.1 5.2 5.1 4.9 4.4 3.9 3.6 3.6 3.5 3.5 3.5 3.7 3.6 3.5 3.4 2.9 2.9 2.9 2.9 3.0 3.3 19971997 5.3 5.4 5.3 5.3 5.4 5.5 5.4 5.1 5.0 5.0 4.9 4.7 4.2 3.8 3.5 3.4 3.4 3.4 3.3 3.5 3.4 3.3 3.2 2.7 2.7 2.6 2.6 2.6 2.5 1.7 19981998 5.2 5.2 5.2 5.2 5.3 5.3 5.2 4.9 4.8 4.8 4.7 4.5 4.1 3.6 3.3 3.3 3.3 3.2 3.2 3.4 3.3 3.1 3.0 2.6 2.5 2.5 2.4 2.3 2.2 1.7 1.6 19991999 5.1 5.2 5.1 5.1 5.2 5.2 5.1 4.8 4.7 4.7 4.7 4.4 4.0 3.6 3.3 3.3 3.2 3.2 3.2 3.3 3.2 3.1 3.0 2.6 2.6 2.5 2.4 2.4 2.3 2.0 2.1 2.7 20002000 5.1 5.1 5.1 5.1 5.1 5.2 5.0 4.8 4.7 4.7 4.6 4.4 4.0 3.6 3.3 3.3 3.3 3.2 3.2 3.3 3.2 3.1 3.0 2.7 2.6 2.6 2.6 2.6 2.5 2.3 2.6 3.0 3.4 20012001 5.0 5.0 5.0 4.9 5.0 5.0 4.9 4.7 4.6 4.6 4.5 4.3 3.9 3.5 3.2 3.2 3.2 3.1 3.1 3.2 3.1 3.0 2.9 2.6 2.5 2.5 2.4 2.4 2.4 2.2 2.3 2.5 2.5 1.6 20022002 4.9 4.9 4.9 4.9 4.9 5.0 4.8 4.6 4.5 4.5 4.4 4.2 3.8 3.4 3.2 3.2 3.1 3.1 3.0 3.1 3.1 3.0 2.8 2.6 2.5 2.5 2.4 2.4 2.4 2.2 2.3 2.5 2.4 2.0 2.4 20032003 4.8 4.8 4.8 4.8 4.8 4.9 4.7 4.5 4.4 4.4 4.3 4.1 3.7 3.4 3.1 3.1 3.1 3.0 3.0 3.1 3.0 2.9 2.8 2.5 2.5 2.4 2.4 2.4 2.3 2.2 2.2 2.4 2.3 1.9 2.1 1.9 20042004 4.8 4.8 4.7 4.7 4.8 4.8 4.7 4.4 4.4 4.3 4.2 4.1 3.7 3.4 3.1 3.1 3.1 3.0 3.0 3.1 3.0 2.9 2.8 2.6 2.5 2.5 2.5 2.4 2.4 2.3 2.4 2.5 2.5 2.3 2.5 2.6 3.3 20052005 4.7 4.7 4.7 4.7 4.7 4.8 4.6 4.4 4.3 4.3 4.2 4.0 3.7 3.4 3.1 3.1 3.1 3.0 3.0 3.1 3.0 2.9 2.8 2.6 2.6 2.6 2.5 2.5 2.5 2.4 2.5 2.6 2.6 2.5 2.7 2.8 3.3 3.4 20062006 4.7 4.7 4.6 4.6 4.7 4.7 4.6 4.3 4.3 4.2 4.2 4.0 3.7 3.3 3.1 3.1 3.1 3.0 3.0 3.1 3.0 2.9 2.8 2.6 2.6 2.6 2.5 2.5 2.5 2.4 2.5 2.6 2.6 2.5 2.7 2.8 3.1 3.0 2.5 20072007 4.7 4.7 4.6 4.6 4.6 4.7 4.6 4.3 4.3 4.2 4.2 4.0 3.7 3.4 3.2 3.1 3.1 3.1 3.0 3.1 3.1 3.0 2.9 2.7 2.7 2.7 2.7 2.6 2.6 2.6 2.7 2.8 2.8 2.7 2.9 3.0 3.3 3.3 3.3 4.1 20082008 4.6 4.6 4.5 4.5 4.5 4.6 4.4 4.2 4.1 4.1 4.0 3.9 3.5 3.2 3.0 3.0 3.0 2.9 2.9 3.0 2.9 2.8 2.7 2.6 2.5 2.5 2.5 2.5 2.4 2.4 2.4 2.5 2.5 2.4 2.5 2.5 2.7 2.5 2.2 2.1 0.1 20092009 4.5 4.5 4.5 4.4 4.5 4.5 4.4 4.2 4.1 4.1 4.0 3.8 3.5 3.2 3.0 3.0 3.0 2.9 2.9 3.0 2.9 2.8 2.7 2.6 2.5 2.5 2.5 2.5 2.5 2.4 2.5 2.5 2.5 2.4 2.5 2.6 2.7 2.6 2.4 2.3 1.4 2.7 20102010 4.4 4.4 4.4 4.4 4.4 4.4 4.3 4.1 4.0 4.0 3.9 3.7 3.5 3.2 3.0 2.9 2.9 2.9 2.8 2.9 2.8 2.8 2.7 2.5 2.5 2.5 2.4 2.4 2.4 2.3 2.4 2.5 2.4 2.3 2.4 2.4 2.5 2.4 2.2 2.1 1.4 2.1 1.5 20112011 4.4 4.4 4.4 4.3 4.4 4.4 4.3 4.1 4.0 4.0 3.9 3.7 3.4 3.2 3.0 2.9 2.9 2.9 2.8 2.9 2.8 2.8 2.7 2.5 2.5 2.5 2.5 2.5 2.4 2.4 2.4 2.5 2.5 2.4 2.5 2.5 2.6 2.5 2.3 2.3 1.8 2.4 2.2 3.0 20122012 4.3 4.3 4.3 4.3 4.3 4.3 4.2 4.0 3.9 3.9 3.8 3.7 3.4 3.1 2.9 2.9 2.9 2.8 2.8 2.9 2.8 2.7 2.7 2.5 2.5 2.4 2.4 2.4 2.4 2.3 2.4 2.4 2.4 2.3 2.4 2.4 2.5 2.4 2.2 2.2 1.8 2.2 2.1 2.3 1.7

1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

19681968 32.8 19691969 -2.6 -28.5 19701970 -7.3 -22.5 -16.1 19711971 -1.7 -11.1 -0.9 17.0 19721972 -1.1 -8.1 -0.1 9.0 1.5 19731973 -9.1 -15.7 -12.2 -10.9 -22.2 -40.4 19741974 -13.5 -19.5 -17.6 -18.0 -27.1 -38.2 -36.0 19751975 -7.9 -12.6 -9.6 -8.3 -13.7 -18.3 -4.3 43.1 19761976 -3.5 -7.3 -3.8 -1.5 -4.9 -6.4 8.8 41.8 40.5 19771977 -2.0 -5.2 -1.8 0.4 -2.1 -2.8 9.8 31.4 25.9 12.8 19781978 -0.9 -3.8 -0.6 1.6 -0.5 -0.8 9.8 25.7 20.4 11.4 10.1 19791979 1.0 -1.5 1.7 3.9 2.4 2.5 12.2 25.5 21.5 15.7 17.2 24.8 19801980 2.5 0.3 3.4 5.6 4.4 4.7 13.5 24.9 21.5 17.2 18.7 23.3 21.7 19811981 1.8 -0.2 2.6 4.5 3.3 3.5 10.9 19.9 16.5 12.2 12.0 12.7 7.0 -5.9 19821982 3.1 1.3 4.0 5.9 5.0 5.3 12.2 20.4 17.4 14.0 14.2 15.2 12.2 7.7 23.3 19831983 4.6 2.9 5.6 7.5 6.8 7.3 13.7 21.3 18.8 16.0 16.5 17.8 16.1 14.3 26.0 28.7 19841984 3.8 2.2 4.7 6.4 5.6 6.0 11.6 18.0 15.5 12.7 12.7 13.2 11.0 8.4 13.7 9.1 -7.5 19851985 5.0 3.6 6.0 7.6 7.0 7.4 12.8 18.8 16.6 14.2 14.4 15.0 13.5 11.9 16.9 14.8 8.4 27.1 19861986 5.1 3.7 6.0 7.6 7.0 7.4 12.3 17.7 15.7 13.4 13.5 13.9 12.5 11.0 14.7 12.7 7.8 16.3 6.5 19871987 4.2 2.8 4.9 6.3 5.7 6.0 10.4 15.1 13.1 10.9 10.7 10.7 9.1 7.4 9.8 7.3 2.5 6.0 -3.2 -11.9 19881988 4.8 3.5 5.6 6.9 6.4 6.7 10.9 15.3 13.4 11.4 11.3 11.4 10.0 8.7 10.9 9.0 5.4 8.9 3.4 1.9 17.9 19891989 5.1 3.9 5.9 7.2 6.7 7.0 10.9 15.1 13.3 11.5 11.3 11.5 10.2 9.0 11.0 9.4 6.4 9.5 5.4 5.1 14.8 11.8 19901990 3.6 2.4 4.2 5.3 4.7 4.9 8.4 12.1 10.2 8.4 8.0 7.8 6.4 5.0 6.3 4.3 1.2 2.8 -1.5 -3.4 -0.4 -8.4 -25.0 19911991 5.0 3.9 5.7 6.9 6.4 6.6 10.1 13.7 12.1 10.4 10.2 10.2 9.1 8.0 9.5 8.1 5.8 7.8 4.9 4.6 9.2 6.4 3.8 43.6 19921992 5.4 4.4 6.1 7.3 6.8 7.1 10.5 13.9 12.3 10.8 10.6 10.7 9.7 8.7 10.2 8.9 6.9 8.9 6.5 6.5 10.6 8.9 7.9 29.4 16.6 19931993 5.8 4.9 6.6 7.7 7.3 7.6 10.8 14.0 12.6 11.1 11.0 11.1 10.2 9.3 10.7 9.6 7.9 9.7 7.8 7.9 11.7 10.4 10.1 25.1 16.8 16.9 19941994 5.4 4.5 6.1 7.1 6.7 7.0 10.0 13.0 11.6 10.2 10.0 10.0 9.1 8.3 9.5 8.4 6.7 8.2 6.3 6.3 9.2 7.8 7.0 16.9 9.2 5.6 -4.6 19951995 6.1 5.3 6.8 7.9 7.5 7.8 10.7 13.7 12.4 11.0 10.9 11.0 10.2 9.4 10.6 9.7 8.3 9.8 8.2 8.4 11.3 10.4 10.1 18.9 13.4 12.4 10.2 27.2 19961996 6.4 5.6 7.1 8.1 7.8 8.0 10.9 13.7 12.4 11.2 11.1 11.1 10.4 9.7 10.8 10.0 8.7 10.1 8.7 8.9 11.5 10.8 10.6 18.0 13.5 12.7 11.3 20.3 13.7 19971997 6.9 6.1 7.6 8.6 8.3 8.6 11.4 14.1 12.9 11.7 11.7 11.8 11.1 10.5 11.6 10.9 9.7 11.1 9.9 10.2 12.7 12.1 12.2 18.8 15.1 14.8 14.3 21.4 18.6 23.7 19981998 6.6 5.8 7.2 8.2 7.9 8.1 10.7 13.3 12.1 11.0 10.9 10.9 10.2 9.6 10.6 9.9 8.7 10.0 8.8 9.0 11.1 10.4 10.3 15.7 12.2 11.5 10.4 14.5 10.6 9.0 -3.9 19991999 7.1 6.4 7.8 8.7 8.4 8.7 11.2 13.7 12.6 11.5 11.5 11.6 10.9 10.4 11.4 10.7 9.7 10.9 9.9 10.1 12.2 11.7 11.7 16.7 13.7 13.3 12.7 16.5 14.0 14.1 9.6 25.1 20002000 6.3 5.6 6.9 7.8 7.5 7.7 10.1 12.4 11.4 10.3 10.2 10.2 9.5 9.0 9.8 9.1 8.0 9.1 8.0 8.1 9.8 9.2 8.9 13.1 10.1 9.3 8.2 10.5 7.5 6.0 0.7 3.0 -15.1 20012001 6.6 5.9 7.2 8.1 7.8 8.0 10.3 12.6 11.5 10.5 10.4 10.4 9.8 9.3 10.1 9.5 8.5 9.5 8.5 8.6 10.3 9.7 9.5 13.3 10.7 10.0 9.2 11.3 8.9 8.0 4.4 7.3 -0.7 16.2 20022002 5.7 5.0 6.2 7.0 6.7 6.9 9.0 11.1 10.1 9.1 8.9 8.9 8.2 7.6 8.3 7.6 6.6 7.5 6.4 6.4 7.8 7.1 6.7 9.9 7.3 6.4 5.2 6.5 3.9 2.3 -1.5 -0.9 -8.3 -4.6 -21.7 20032003 6.8 6.2 7.4 8.2 7.9 8.1 10.3 12.4 11.4 10.5 10.4 10.4 9.8 9.4 10.1 9.5 8.6 9.6 8.7 8.8 10.2 9.7 9.6 12.8 10.6 10.1 9.4 11.1 9.2 8.6 6.2 8.4 4.6 12.1 10.1 54.9 20042004 7.0 6.4 7.6 8.4 8.2 8.4 10.5 12.5 11.6 10.7 10.6 10.6 10.1 9.6 10.3 9.8 8.9 9.8 9.0 9.1 10.5 10.1 10.0 13.0 11.0 10.5 9.9 11.5 9.9 9.4 7.5 9.5 6.7 12.9 11.8 33.7 15.4 20052005 6.9 6.3 7.5 8.2 8.0 8.2 10.2 12.2 11.2 10.4 10.3 10.3 9.7 9.3 10.0 9.4 8.6 9.5 8.6 8.8 10.0 9.6 9.5 12.3 10.3 9.8 9.3 10.6 9.1 8.6 6.8 8.4 5.9 10.7 9.3 22.2 8.6 2.1 20062006 7.1 6.5 7.6 8.4 8.1 8.3 10.3 12.2 11.3 10.5 10.4 10.4 9.9 9.5 10.1 9.6 8.9 9.7 8.9 9.0 10.3 9.8 9.7 12.4 10.6 10.1 9.6 10.9 9.5 9.1 7.6 9.1 7.0 11.2 10.3 20.1 10.4 8.0 14.2 20072007 6.7 6.1 7.2 7.9 7.7 7.9 9.8 11.6 10.7 9.9 9.8 9.8 9.3 8.8 9.5 8.9 8.2 8.9 8.2 8.2 9.4 8.9 8.8 11.2 9.4 8.9 8.4 9.5 8.1 7.6 6.1 7.3 5.2 8.5 7.3 14.3 5.9 2.9 3.4 -6.4 20082008 5.3 4.7 5.7 6.4 6.1 6.2 8.0 9.7 8.8 7.9 7.7 7.7 7.1 6.6 7.1 6.6 5.7 6.3 5.5 5.5 6.4 5.8 5.5 7.6 5.7 5.1 4.3 5.0 3.5 2.7 0.9 1.4 -0.9 1.1 -1.0 3.0 -5.1 -9.6 -13.2 -24.3 -38.7 20092009 6.1 5.5 6.5 7.2 6.9 7.1 8.8 10.5 9.7 8.8 8.7 8.7 8.2 7.7 8.2 7.7 7.0 7.6 6.9 6.9 7.8 7.4 7.2 9.2 7.5 7.0 6.4 7.2 5.9 5.3 3.9 4.7 2.8 5.0 3.7 8.0 1.7 -0.9 -1.6 -6.4 -6.3 43.1 20102010 6.5 6.0 7.0 7.6 7.4 7.6 9.3 10.9 10.1 9.3 9.2 9.2 8.7 8.3 8.9 8.4 7.7 8.3 7.6 7.7 8.6 8.2 8.1 10.0 8.5 8.1 7.6 8.4 7.2 6.8 5.6 6.4 4.9 7.1 6.1 10.3 5.0 3.4 3.6 1.2 3.8 35.2 27.6 20112011 6.2 5.6 6.6 7.2 7.0 7.1 8.8 10.4 9.6 8.8 8.7 8.6 8.2 7.8 8.2 7.8 7.1 7.7 7.0 7.0 7.9 7.5 7.3 9.1 7.6 7.2 6.6 7.3 6.2 5.7 4.5 5.2 3.7 5.6 4.6 8.0 3.3 1.7 1.6 -0.8 0.7 18.8 8.3 -8.1 20122012 6.4 5.8 6.8 7.4 7.2 7.3 9.0 10.5 9.7 9.0 8.9 8.8 8.4 8.0 8.5 8.0 7.4 7.9 7.3 7.3 8.2 7.8 7.6 9.4 8.0 7.6 7.1 7.8 6.7 6.3 5.2 5.9 4.6 6.4 5.6 8.8 4.6 3.3 3.5 1.8 3.5 18.0 10.6 3.0 15.4

1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

Page 27: Dfa matrix book us_2013 - copy

DIMENSIONAL FUND ADVISORS MATRIX BOOK 201350 51

Data provided by Standard & poor’s index Services group.

S&P 500 INDEX1926–2012: Real Returns (%), Inflation-Adjusted

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

$274

20121926

19261926 13.3 19271927 26.1 40.4 19281928 32.1 42.7 45.0 19291929 20.5 23.0 15.1 -8.6 19301930 11.0 10.4 1.9 -14.5 -20.1 19311931 0.9 -1.4 -9.8 -23.0 -29.3 -37.4 19321932 1.1 -0.8 -7.5 -17.3 -20.0 -20.0 2.3 19331933 6.5 5.6 0.7 -6.4 -5.9 -0.6 25.2 53.2 19341934 5.3 4.4 0.1 -5.9 -5.4 -1.3 14.8 21.7 -3.4 19351935 8.6 8.1 4.7 -0.1 1.4 6.3 21.4 28.5 17.7 43.4 19361936 10.6 10.3 7.4 3.5 5.3 10.3 23.5 29.4 22.4 37.7 32.3 19371937 5.5 4.9 1.8 -2.1 -1.2 1.8 10.4 12.1 3.7 6.1 -8.7 -37.0 19381938 7.6 7.1 4.5 1.1 2.3 5.5 13.6 15.6 9.3 12.7 4.0 -7.8 34.9 19391939 7.0 6.5 4.1 1.0 2.0 4.8 11.8 13.2 7.7 10.0 3.0 -5.3 16.2 0.1 19401940 5.7 5.2 2.9 0.0 0.8 3.2 9.1 9.9 4.8 6.3 0.1 -6.6 6.4 -5.4 -10.6 19411941 3.9 3.3 1.1 -1.7 -1.1 0.9 5.8 6.2 1.5 2.2 -3.4 -9.3 -0.7 -10.3 -15.1 -19.4 19421942 4.3 3.8 1.7 -0.9 -0.2 1.6 6.2 6.6 2.4 3.1 -1.6 -6.4 1.4 -5.6 -7.4 -5.8 10.1 19431943 5.2 4.8 2.9 0.5 1.2 3.1 7.4 7.9 4.2 5.1 1.1 -2.7 4.5 -0.6 -0.8 2.7 15.9 22.0 19441944 5.8 5.4 3.6 1.5 2.2 4.0 8.2 8.7 5.3 6.2 2.8 -0.4 6.3 2.1 2.6 6.1 16.4 19.6 17.2 19451945 7.0 6.7 5.1 3.1 3.9 5.8 9.8 10.4 7.4 8.5 5.5 2.8 9.3 6.1 7.2 11.1 20.4 24.0 25.1 33.4 19461946 5.4 5.1 3.5 1.5 2.2 3.7 7.3 7.7 4.8 5.5 2.6 0.0 5.3 2.1 2.4 4.7 10.3 10.4 6.8 1.9 -22.2 19471947 5.0 4.7 3.1 1.3 1.9 3.3 6.6 6.9 4.2 4.8 2.1 -0.3 4.4 1.5 1.7 3.6 8.0 7.6 4.2 0.2 -13.1 -3.0 19481948 4.9 4.6 3.1 1.4 1.9 3.3 6.4 6.6 4.1 4.7 2.2 0.0 4.3 1.6 1.8 3.5 7.2 6.7 3.9 0.8 -8.1 -0.2 2.7 19491949 5.6 5.2 3.9 2.2 2.8 4.2 7.2 7.4 5.1 5.7 3.4 1.5 5.6 3.2 3.6 5.3 8.8 8.7 6.6 4.6 -1.6 6.4 11.5 21.0 19501950 6.3 6.0 4.7 3.1 3.7 5.1 8.0 8.3 6.1 6.8 4.7 3.0 6.9 4.9 5.3 7.1 10.5 10.5 9.0 7.7 3.1 10.7 15.7 22.7 24.5 19511951 6.7 6.4 5.2 3.7 4.3 5.6 8.4 8.8 6.7 7.4 5.4 3.8 7.6 5.8 6.2 7.9 11.1 11.2 10.0 9.0 5.4 11.9 16.0 20.8 20.8 17.1 19521952 7.0 6.8 5.6 4.2 4.8 6.1 8.8 9.2 7.3 7.9 6.1 4.6 8.2 6.5 7.1 8.7 11.7 11.8 10.8 10.0 7.0 12.8 16.3 19.9 19.6 17.2 17.3 19531953 6.7 6.5 5.3 4.0 4.6 5.8 8.4 8.6 6.8 7.4 5.6 4.3 7.6 6.0 6.4 7.9 10.5 10.5 9.5 8.6 5.9 10.6 13.1 15.3 13.9 10.6 7.4 -1.6 19541954 8.1 7.9 6.8 5.6 6.2 7.4 10.0 10.4 8.7 9.3 7.7 6.5 9.9 8.5 9.0 10.6 13.3 13.6 12.9 12.4 10.3 15.2 18.1 20.9 20.9 20.0 21.0 22.9 53.4 19551955 8.7 8.6 7.6 6.4 7.0 8.3 10.8 11.2 9.6 10.2 8.8 7.7 10.9 9.7 10.3 11.9 14.5 14.9 14.3 14.0 12.2 16.9 19.7 22.3 22.5 22.1 23.4 25.5 41.8 31.1 19561956 8.6 8.4 7.5 6.3 6.9 8.1 10.5 10.9 9.3 9.9 8.6 7.5 10.5 9.3 9.9 11.3 13.8 14.0 13.4 13.1 11.4 15.5 17.8 19.8 19.6 18.8 19.2 19.6 27.7 16.5 3.6 19571957 7.8 7.6 6.7 5.6 6.1 7.2 9.5 9.8 8.3 8.8 7.4 6.4 9.2 8.0 8.5 9.7 11.8 11.9 11.3 10.8 9.1 12.5 14.2 15.6 14.9 13.6 13.0 12.2 15.9 5.5 -5.3 -13.4 19581958 8.7 8.6 7.7 6.6 7.2 8.3 10.5 10.8 9.4 10.0 8.7 7.7 10.5 9.4 10.0 11.2 13.4 13.6 13.0 12.7 11.3 14.6 16.4 17.9 17.5 16.7 16.6 16.5 20.5 13.4 8.1 10.4 40.9 19591959 8.7 8.6 7.7 6.7 7.3 8.4 10.5 10.8 9.4 10.0 8.8 7.9 10.5 9.5 10.0 11.2 13.2 13.4 12.9 12.6 11.2 14.3 15.9 17.2 16.8 16.0 15.8 15.6 18.7 12.8 8.7 10.4 24.7 10.3 19601960 8.4 8.3 7.5 6.5 7.0 8.0 10.1 10.4 9.0 9.5 8.4 7.5 10.0 9.0 9.4 10.5 12.4 12.5 12.0 11.7 10.3 13.1 14.5 15.5 15.0 14.1 13.8 13.4 15.7 10.4 6.7 7.4 15.4 4.5 -1.0 19611961 8.9 8.8 8.0 7.0 7.5 8.6 10.6 10.9 9.6 10.1 9.0 8.2 10.6 9.7 10.1 11.2 13.0 13.2 12.7 12.5 11.3 14.0 15.3 16.3 15.9 15.2 15.0 14.7 16.9 12.5 9.7 10.9 18.0 11.2 11.7 26.0 19621962 8.3 8.2 7.4 6.5 7.0 7.9 9.9 10.1 8.9 9.3 8.2 7.4 9.7 8.8 9.2 10.2 11.8 11.9 11.4 11.1 9.9 12.3 13.4 14.2 13.7 12.8 12.5 12.0 13.6 9.4 6.6 7.2 11.8 5.6 4.0 6.6 -9.8 19631963 8.7 8.5 7.8 6.9 7.3 8.3 10.2 10.4 9.2 9.7 8.7 7.9 10.1 9.2 9.6 10.6 12.2 12.3 11.9 11.6 10.5 12.8 13.9 14.6 14.2 13.4 13.1 12.8 14.3 10.6 8.3 9.0 13.3 8.4 8.0 11.1 4.4 20.8 19641964 8.8 8.7 8.0 7.1 7.6 8.5 10.3 10.6 9.4 9.9 8.9 8.1 10.3 9.5 9.9 10.8 12.3 12.4 12.0 11.8 10.7 12.9 13.9 14.7 14.3 13.6 13.3 13.0 14.4 11.1 9.0 9.8 13.5 9.5 9.4 12.1 7.8 17.9 15.1 19651965 8.9 8.7 8.0 7.2 7.6 8.6 10.3 10.6 9.5 9.9 8.9 8.2 10.3 9.5 9.9 10.8 12.3 12.4 11.9 11.7 10.7 12.8 13.7 14.4 14.0 13.3 13.1 12.8 14.0 11.0 9.2 9.8 13.1 9.6 9.5 11.8 8.4 15.3 12.7 10.3 19661966 8.3 8.1 7.4 6.6 7.0 7.9 9.6 9.8 8.7 9.1 8.1 7.4 9.4 8.6 8.9 9.8 11.1 11.2 10.7 10.4 9.4 11.3 12.1 12.7 12.2 11.5 11.1 10.7 11.7 8.8 6.9 7.3 9.9 6.5 6.0 7.2 3.8 7.5 3.4 -2.0 -13.0 19671967 8.5 8.4 7.7 6.9 7.3 8.2 9.9 10.1 9.0 9.4 8.5 7.8 9.8 9.0 9.3 10.1 11.5 11.5 11.1 10.8 9.9 11.7 12.5 13.1 12.6 12.0 11.7 11.3 12.3 9.6 8.0 8.4 10.9 8.0 7.7 9.0 6.4 9.9 7.4 4.9 2.3 20.31968 8.5 8.4 7.7 6.9 7.3 8.2 9.8 10.0 8.9 9.3 8.4 7.8 9.6 8.9 9.2 10.0 11.3 11.3 10.9 10.6 9.7 11.5 12.2 12.7 12.3 11.6 11.3 11.0 11.9 9.4 7.9 8.2 10.4 7.8 7.5 8.6 6.3 9.3 7.1 5.2 3.6 13.01969 7.9 7.8 7.1 6.3 6.7 7.5 9.1 9.3 8.2 8.6 7.7 7.0 8.8 8.1 8.3 9.1 10.3 10.3 9.8 9.5 8.6 10.2 10.9 11.3 10.8 10.1 9.8 9.3 10.1 7.7 6.1 6.3 8.2 5.6 5.2 5.9 3.6 5.7 3.3 1.1 -1.1 3.31970 7.7 7.6 6.9 6.1 6.5 7.3 8.8 9.0 8.0 8.3 7.4 6.8 8.5 7.8 8.0 8.7 9.8 9.8 9.4 9.1 8.2 9.7 10.3 10.7 10.2 9.5 9.1 8.7 9.4 7.1 5.6 5.8 7.4 5.0 4.5 5.1 3.0 4.7 2.6 0.7 -1.1 2.11971 7.8 7.6 7.0 6.2 6.6 7.4 8.8 9.0 8.0 8.4 7.5 6.9 8.6 7.8 8.1 8.8 9.9 9.8 9.4 9.2 8.3 9.8 10.3 10.7 10.2 9.6 9.2 8.8 9.4 7.3 5.9 6.1 7.6 5.4 5.0 5.6 3.8 5.4 3.6 2.1 0.7 3.71972 7.9 7.8 7.2 6.4 6.8 7.5 9.0 9.1 8.2 8.5 7.7 7.1 8.7 8.0 8.3 9.0 10.0 10.0 9.6 9.4 8.6 10.0 10.5 10.8 10.4 9.8 9.5 9.1 9.7 7.7 6.4 6.6 8.1 6.1 5.8 6.4 4.7 6.3 4.8 3.6 2.7 5.51973 7.2 7.1 6.4 5.7 6.1 6.8 8.1 8.3 7.3 7.6 6.8 6.2 7.8 7.1 7.3 7.9 8.9 8.8 8.4 8.1 7.3 8.6 9.1 9.3 8.9 8.2 7.8 7.4 7.9 5.9 4.7 4.7 6.0 4.0 3.5 3.9 2.2 3.4 1.8 0.4 -0.7 1.21974 6.1 6.0 5.3 4.6 4.9 5.6 6.9 7.0 6.1 6.3 5.5 4.9 6.3 5.6 5.8 6.3 7.2 7.1 6.7 6.3 5.5 6.7 7.0 7.2 6.7 6.0 5.5 5.0 5.4 3.4 2.1 2.0 3.0 1.0 0.4 0.5 -1.2 -0.4 -2.2 -3.8 -5.2 -4.21975 6.5 6.4 5.8 5.1 5.4 6.0 7.3 7.4 6.5 6.8 6.0 5.4 6.8 6.2 6.3 6.9 7.8 7.7 7.3 7.0 6.2 7.3 7.7 7.9 7.4 6.8 6.4 5.9 6.3 4.5 3.3 3.3 4.3 2.5 2.0 2.2 0.7 1.5 0.1 -1.2 -2.3 -1.01976 6.7 6.6 6.0 5.3 5.6 6.3 7.5 7.7 6.8 7.0 6.3 5.7 7.1 6.5 6.6 7.2 8.1 8.0 7.6 7.3 6.6 7.7 8.1 8.3 7.8 7.2 6.8 6.4 6.8 5.0 3.9 4.0 5.0 3.3 2.9 3.1 1.7 2.6 1.3 0.3 -0.6 0.71977 6.3 6.2 5.6 4.9 5.2 5.8 7.1 7.2 6.3 6.5 5.8 5.2 6.6 5.9 6.1 6.6 7.4 7.3 6.9 6.6 5.9 6.9 7.3 7.4 7.0 6.4 6.0 5.6 5.9 4.2 3.1 3.1 4.0 2.3 1.9 2.1 0.7 1.5 0.2 -0.8 -1.7 -0.61978 6.2 6.0 5.4 4.8 5.1 5.7 6.8 6.9 6.1 6.3 5.6 5.0 6.3 5.7 5.9 6.3 7.1 7.0 6.6 6.3 5.6 6.6 7.0 7.1 6.7 6.1 5.7 5.3 5.5 3.9 2.9 2.8 3.7 2.1 1.7 1.8 0.6 1.3 0.1 -0.9 -1.7 -0.71979 6.1 6.0 5.4 4.8 5.1 5.6 6.8 6.9 6.1 6.3 5.6 5.0 6.3 5.7 5.8 6.3 7.1 7.0 6.6 6.3 5.6 6.6 6.9 7.0 6.6 6.0 5.6 5.2 5.5 3.9 2.9 2.9 3.7 2.2 1.8 2.0 0.8 1.4 0.3 -0.6 -1.3 -0.31980 6.3 6.2 5.6 5.0 5.3 5.9 7.0 7.1 6.3 6.5 5.8 5.3 6.5 5.9 6.1 6.6 7.3 7.2 6.9 6.6 5.9 6.9 7.2 7.3 6.9 6.4 6.0 5.7 5.9 4.4 3.5 3.5 4.3 2.9 2.5 2.7 1.6 2.3 1.3 0.5 -0.1 0.81981 6.0 5.8 5.3 4.6 4.9 5.5 6.6 6.7 5.9 6.1 5.4 4.8 6.1 5.5 5.6 6.0 6.8 6.7 6.3 6.0 5.4 6.3 6.6 6.7 6.3 5.7 5.3 5.0 5.2 3.7 2.8 2.8 3.5 2.1 1.8 1.9 0.8 1.4 0.5 -0.3 -1.0 -0.11982 6.1 6.0 5.5 4.9 5.1 5.7 6.8 6.9 6.1 6.3 5.6 5.1 6.3 5.7 5.9 6.3 7.0 6.9 6.6 6.3 5.6 6.5 6.8 7.0 6.6 6.0 5.7 5.3 5.6 4.2 3.3 3.3 4.0 2.7 2.4 2.6 1.6 2.2 1.3 0.5 0.0 0.91983 6.3 6.2 5.7 5.1 5.3 5.9 7.0 7.1 6.3 6.5 5.9 5.4 6.5 6.0 6.1 6.5 7.3 7.2 6.8 6.6 6.0 6.8 7.1 7.3 6.9 6.4 6.1 5.7 6.0 4.6 3.8 3.8 4.5 3.3 3.0 3.2 2.3 2.9 2.0 1.4 0.9 1.81984 6.3 6.1 5.6 5.0 5.3 5.8 6.9 7.0 6.2 6.4 5.8 5.3 6.4 5.9 6.0 6.4 7.1 7.1 6.7 6.5 5.9 6.7 7.0 7.1 6.7 6.3 5.9 5.6 5.9 4.6 3.7 3.7 4.4 3.2 3.0 3.1 2.2 2.8 2.0 1.4 1.0 1.81985 6.6 6.5 6.0 5.4 5.6 6.2 7.2 7.3 6.6 6.8 6.2 5.7 6.8 6.3 6.5 6.9 7.6 7.5 7.2 6.9 6.3 7.2 7.5 7.6 7.3 6.8 6.5 6.2 6.5 5.2 4.5 4.5 5.2 4.1 3.8 4.0 3.2 3.8 3.1 2.5 2.2 3.01986 6.7 6.6 6.1 5.6 5.8 6.4 7.4 7.5 6.8 7.0 6.4 5.9 7.0 6.5 6.7 7.1 7.8 7.7 7.4 7.2 6.6 7.4 7.7 7.9 7.5 7.1 6.8 6.5 6.8 5.6 4.8 4.9 5.6 4.5 4.3 4.5 3.7 4.3 3.7 3.2 2.8 3.71987 6.6 6.5 6.1 5.5 5.8 6.3 7.3 7.4 6.7 6.9 6.3 5.8 6.9 6.4 6.5 6.9 7.6 7.5 7.2 7.0 6.5 7.3 7.5 7.7 7.3 6.9 6.6 6.3 6.6 5.4 4.7 4.7 5.4 4.4 4.2 4.4 3.6 4.2 3.5 3.1 2.7 3.61988 6.7 6.6 6.1 5.6 5.9 6.4 7.4 7.5 6.8 7.0 6.4 5.9 7.0 6.5 6.6 7.0 7.7 7.6 7.3 7.1 6.6 7.4 7.6 7.8 7.5 7.0 6.8 6.5 6.7 5.6 4.9 5.0 5.6 4.6 4.4 4.6 3.9 4.5 3.9 3.4 3.1 3.91989 7.0 6.9 6.4 5.9 6.2 6.7 7.7 7.7 7.1 7.3 6.7 6.3 7.3 6.9 7.0 7.4 8.0 8.0 7.7 7.5 7.0 7.8 8.0 8.2 7.9 7.5 7.2 7.0 7.2 6.1 5.5 5.5 6.2 5.2 5.1 5.3 4.6 5.2 4.6 4.2 4.0 4.81990 6.7 6.6 6.2 5.6 5.9 6.4 7.4 7.4 6.8 7.0 6.4 6.0 7.0 6.5 6.7 7.0 7.7 7.6 7.3 7.1 6.6 7.4 7.6 7.7 7.4 7.0 6.8 6.5 6.8 5.7 5.0 5.1 5.7 4.8 4.6 4.8 4.1 4.6 4.1 3.7 3.4 4.21991 7.0 6.9 6.5 5.9 6.2 6.7 7.6 7.7 7.1 7.3 6.7 6.3 7.3 6.9 7.0 7.4 8.0 8.0 7.7 7.5 7.0 7.8 8.0 8.1 7.9 7.5 7.3 7.0 7.2 6.2 5.6 5.6 6.3 5.4 5.2 5.4 4.8 5.3 4.8 4.5 4.2 5.01992 7.0 6.9 6.4 5.9 6.2 6.7 7.6 7.7 7.0 7.2 6.7 6.3 7.3 6.8 7.0 7.3 7.9 7.9 7.6 7.4 6.9 7.7 7.9 8.1 7.8 7.4 7.2 6.9 7.2 6.2 5.6 5.6 6.2 5.3 5.2 5.4 4.8 5.3 4.8 4.5 4.2 5.01993 7.0 6.9 6.4 5.9 6.2 6.7 7.6 7.7 7.0 7.2 6.7 6.3 7.3 6.8 7.0 7.3 7.9 7.9 7.6 7.4 7.0 7.7 7.9 8.0 7.8 7.4 7.2 6.9 7.2 6.2 5.6 5.7 6.2 5.4 5.2 5.4 4.9 5.4 4.9 4.6 4.4 5.11994 6.9 6.8 6.3 5.8 6.1 6.5 7.4 7.5 6.9 7.1 6.6 6.2 7.1 6.7 6.8 7.2 7.7 7.7 7.4 7.3 6.8 7.5 7.7 7.8 7.6 7.2 7.0 6.7 7.0 6.0 5.4 5.5 6.0 5.2 5.1 5.2 4.7 5.1 4.7 4.4 4.2 4.81995 7.2 7.1 6.7 6.2 6.4 6.9 7.8 7.9 7.3 7.5 7.0 6.6 7.5 7.1 7.2 7.6 8.2 8.1 7.9 7.7 7.3 8.0 8.2 8.3 8.1 7.7 7.5 7.3 7.5 6.6 6.1 6.1 6.7 5.9 5.8 6.0 5.4 5.9 5.5 5.2 5.0 5.71996 7.4 7.3 6.9 6.4 6.6 7.1 8.0 8.1 7.5 7.7 7.1 6.8 7.7 7.3 7.4 7.8 8.4 8.3 8.1 7.9 7.5 8.2 8.4 8.5 8.3 8.0 7.8 7.6 7.8 6.9 6.3 6.4 7.0 6.2 6.1 6.3 5.8 6.3 5.9 5.6 5.5 6.11997 7.7 7.6 7.2 6.7 6.9 7.4 8.3 8.4 7.8 8.0 7.5 7.1 8.1 7.7 7.8 8.2 8.7 8.7 8.5 8.3 7.9 8.6 8.8 9.0 8.7 8.4 8.2 8.0 8.3 7.4 6.9 7.0 7.5 6.8 6.7 6.9 6.4 6.9 6.5 6.3 6.2 6.91998 7.9 7.8 7.4 7.0 7.2 7.7 8.5 8.6 8.1 8.3 7.8 7.4 8.4 8.0 8.1 8.5 9.0 9.0 8.8 8.6 8.2 8.9 9.2 9.3 9.1 8.8 8.6 8.4 8.6 7.8 7.3 7.4 8.0 7.2 7.2 7.4 6.9 7.4 7.1 6.8 6.7 7.41999 8.0 8.0 7.6 7.1 7.4 7.8 8.7 8.8 8.2 8.4 7.9 7.6 8.5 8.1 8.3 8.6 9.2 9.2 8.9 8.8 8.4 9.1 9.3 9.4 9.2 8.9 8.8 8.6 8.8 8.0 7.5 7.6 8.2 7.5 7.4 7.6 7.2 7.7 7.4 7.1 7.1 7.72000 7.7 7.7 7.3 6.8 7.0 7.5 8.3 8.4 7.9 8.1 7.6 7.2 8.1 7.8 7.9 8.2 8.8 8.8 8.5 8.4 8.0 8.6 8.9 9.0 8.8 8.5 8.3 8.1 8.3 7.5 7.1 7.1 7.7 7.0 6.9 7.1 6.7 7.1 6.8 6.6 6.5 7.12001 7.4 7.3 7.0 6.5 6.7 7.2 8.0 8.1 7.5 7.7 7.2 6.9 7.8 7.4 7.5 7.8 8.4 8.3 8.1 8.0 7.6 8.2 8.4 8.5 8.3 8.0 7.8 7.6 7.8 7.0 6.6 6.6 7.1 6.5 6.4 6.6 6.1 6.5 6.2 6.0 5.8 6.42002 6.9 6.9 6.5 6.0 6.2 6.7 7.5 7.5 7.0 7.2 6.7 6.3 7.2 6.8 6.9 7.2 7.7 7.7 7.5 7.3 6.9 7.5 7.7 7.8 7.6 7.3 7.1 6.9 7.1 6.3 5.8 5.9 6.3 5.6 5.5 5.7 5.2 5.7 5.3 5.0 4.9 5.52003 7.2 7.1 6.7 6.3 6.5 6.9 7.7 7.8 7.2 7.4 7.0 6.6 7.5 7.1 7.2 7.5 8.0 8.0 7.8 7.6 7.2 7.8 8.0 8.1 7.9 7.6 7.4 7.2 7.4 6.7 6.2 6.2 6.7 6.1 6.0 6.1 5.7 6.1 5.8 5.5 5.4 6.02004 7.2 7.1 6.7 6.3 6.5 6.9 7.7 7.8 7.2 7.4 7.0 6.6 7.5 7.1 7.2 7.5 8.0 8.0 7.8 7.6 7.2 7.8 8.0 8.1 7.9 7.6 7.4 7.2 7.4 6.7 6.2 6.3 6.7 6.1 6.0 6.2 5.7 6.1 5.8 5.6 5.5 6.02005 7.1 7.0 6.7 6.2 6.4 6.8 7.6 7.7 7.2 7.3 6.9 6.5 7.4 7.0 7.1 7.4 7.9 7.9 7.7 7.5 7.1 7.7 7.9 8.0 7.8 7.5 7.3 7.1 7.3 6.6 6.1 6.2 6.6 6.0 5.9 6.1 5.6 6.0 5.7 5.5 5.4 5.92006 7.2 7.1 6.7 6.3 6.5 6.9 7.7 7.8 7.2 7.4 7.0 6.6 7.5 7.1 7.2 7.5 8.0 7.9 7.7 7.6 7.2 7.8 8.0 8.1 7.9 7.6 7.4 7.2 7.4 6.7 6.2 6.3 6.7 6.1 6.0 6.2 5.8 6.2 5.9 5.7 5.5 6.12007 7.1 7.0 6.7 6.2 6.5 6.8 7.6 7.7 7.2 7.3 6.9 6.6 7.4 7.0 7.1 7.4 7.9 7.8 7.6 7.5 7.1 7.7 7.9 8.0 7.7 7.5 7.3 7.1 7.3 6.6 6.2 6.2 6.6 6.0 5.9 6.1 5.7 6.1 5.8 5.6 5.4 5.92008 6.4 6.3 6.0 5.6 5.7 6.1 6.9 6.9 6.4 6.5 6.1 5.8 6.6 6.2 6.3 6.6 7.0 7.0 6.7 6.6 6.2 6.7 6.9 7.0 6.8 6.5 6.3 6.1 6.3 5.5 5.1 5.1 5.5 4.9 4.8 5.0 4.5 4.9 4.6 4.3 4.2 4.62009 6.6 6.5 6.2 5.8 5.9 6.3 7.0 7.1 6.6 6.7 6.3 6.0 6.8 6.4 6.5 6.8 7.2 7.2 7.0 6.8 6.5 7.0 7.2 7.2 7.0 6.7 6.6 6.4 6.5 5.8 5.4 5.5 5.9 5.3 5.2 5.3 4.9 5.2 4.9 4.7 4.6 5.02010 6.7 6.6 6.2 5.8 6.0 6.4 7.1 7.2 6.7 6.8 6.4 6.1 6.9 6.5 6.6 6.9 7.3 7.3 7.1 6.9 6.6 7.1 7.3 7.3 7.1 6.9 6.7 6.5 6.7 6.0 5.6 5.6 6.0 5.4 5.3 5.4 5.1 5.4 5.1 4.9 4.8 5.22011 6.6 6.5 6.2 5.8 5.9 6.3 7.0 7.1 6.6 6.7 6.3 6.0 6.8 6.4 6.5 6.8 7.2 7.2 7.0 6.8 6.4 7.0 7.1 7.2 7.0 6.7 6.6 6.4 6.5 5.8 5.4 5.5 5.9 5.3 5.2 5.3 4.9 5.3 5.0 4.8 4.6 5.12012 6.7 6.6 6.2 5.9 6.0 6.4 7.1 7.2 6.7 6.8 6.4 6.1 6.8 6.5 6.6 6.9 7.3 7.3 7.0 6.9 6.6 7.1 7.2 7.3 7.1 6.8 6.7 6.5 6.6 6.0 5.6 5.6 6.0 5.4 5.4 5.5 5.1 5.4 5.1 4.9 4.8 5.3

1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967

19681968 32.8 19691969 -2.6 -28.5 19701970 -7.3 -22.5 -16.1 19711971 -1.7 -11.1 -0.9 17.0 19721972 -1.1 -8.1 -0.1 9.0 1.5 19731973 -9.1 -15.7 -12.2 -10.9 -22.2 -40.4 19741974 -13.5 -19.5 -17.6 -18.0 -27.1 -38.2 -36.0 19751975 -7.9 -12.6 -9.6 -8.3 -13.7 -18.3 -4.3 43.1 19761976 -3.5 -7.3 -3.8 -1.5 -4.9 -6.4 8.8 41.8 40.5 19771977 -2.0 -5.2 -1.8 0.4 -2.1 -2.8 9.8 31.4 25.9 12.8 19781978 -0.9 -3.8 -0.6 1.6 -0.5 -0.8 9.8 25.7 20.4 11.4 10.1 19791979 1.0 -1.5 1.7 3.9 2.4 2.5 12.2 25.5 21.5 15.7 17.2 24.8 19801980 2.5 0.3 3.4 5.6 4.4 4.7 13.5 24.9 21.5 17.2 18.7 23.3 21.7 19811981 1.8 -0.2 2.6 4.5 3.3 3.5 10.9 19.9 16.5 12.2 12.0 12.7 7.0 -5.9 19821982 3.1 1.3 4.0 5.9 5.0 5.3 12.2 20.4 17.4 14.0 14.2 15.2 12.2 7.7 23.3 19831983 4.6 2.9 5.6 7.5 6.8 7.3 13.7 21.3 18.8 16.0 16.5 17.8 16.1 14.3 26.0 28.7 19841984 3.8 2.2 4.7 6.4 5.6 6.0 11.6 18.0 15.5 12.7 12.7 13.2 11.0 8.4 13.7 9.1 -7.5 19851985 5.0 3.6 6.0 7.6 7.0 7.4 12.8 18.8 16.6 14.2 14.4 15.0 13.5 11.9 16.9 14.8 8.4 27.1 19861986 5.1 3.7 6.0 7.6 7.0 7.4 12.3 17.7 15.7 13.4 13.5 13.9 12.5 11.0 14.7 12.7 7.8 16.3 6.5 19871987 4.2 2.8 4.9 6.3 5.7 6.0 10.4 15.1 13.1 10.9 10.7 10.7 9.1 7.4 9.8 7.3 2.5 6.0 -3.2 -11.9 19881988 4.8 3.5 5.6 6.9 6.4 6.7 10.9 15.3 13.4 11.4 11.3 11.4 10.0 8.7 10.9 9.0 5.4 8.9 3.4 1.9 17.9 19891989 5.1 3.9 5.9 7.2 6.7 7.0 10.9 15.1 13.3 11.5 11.3 11.5 10.2 9.0 11.0 9.4 6.4 9.5 5.4 5.1 14.8 11.8 19901990 3.6 2.4 4.2 5.3 4.7 4.9 8.4 12.1 10.2 8.4 8.0 7.8 6.4 5.0 6.3 4.3 1.2 2.8 -1.5 -3.4 -0.4 -8.4 -25.0 19911991 5.0 3.9 5.7 6.9 6.4 6.6 10.1 13.7 12.1 10.4 10.2 10.2 9.1 8.0 9.5 8.1 5.8 7.8 4.9 4.6 9.2 6.4 3.8 43.6 19921992 5.4 4.4 6.1 7.3 6.8 7.1 10.5 13.9 12.3 10.8 10.6 10.7 9.7 8.7 10.2 8.9 6.9 8.9 6.5 6.5 10.6 8.9 7.9 29.4 16.6 19931993 5.8 4.9 6.6 7.7 7.3 7.6 10.8 14.0 12.6 11.1 11.0 11.1 10.2 9.3 10.7 9.6 7.9 9.7 7.8 7.9 11.7 10.4 10.1 25.1 16.8 16.9 19941994 5.4 4.5 6.1 7.1 6.7 7.0 10.0 13.0 11.6 10.2 10.0 10.0 9.1 8.3 9.5 8.4 6.7 8.2 6.3 6.3 9.2 7.8 7.0 16.9 9.2 5.6 -4.6 19951995 6.1 5.3 6.8 7.9 7.5 7.8 10.7 13.7 12.4 11.0 10.9 11.0 10.2 9.4 10.6 9.7 8.3 9.8 8.2 8.4 11.3 10.4 10.1 18.9 13.4 12.4 10.2 27.2 19961996 6.4 5.6 7.1 8.1 7.8 8.0 10.9 13.7 12.4 11.2 11.1 11.1 10.4 9.7 10.8 10.0 8.7 10.1 8.7 8.9 11.5 10.8 10.6 18.0 13.5 12.7 11.3 20.3 13.7 19971997 6.9 6.1 7.6 8.6 8.3 8.6 11.4 14.1 12.9 11.7 11.7 11.8 11.1 10.5 11.6 10.9 9.7 11.1 9.9 10.2 12.7 12.1 12.2 18.8 15.1 14.8 14.3 21.4 18.6 23.7 19981998 6.6 5.8 7.2 8.2 7.9 8.1 10.7 13.3 12.1 11.0 10.9 10.9 10.2 9.6 10.6 9.9 8.7 10.0 8.8 9.0 11.1 10.4 10.3 15.7 12.2 11.5 10.4 14.5 10.6 9.0 -3.9 19991999 7.1 6.4 7.8 8.7 8.4 8.7 11.2 13.7 12.6 11.5 11.5 11.6 10.9 10.4 11.4 10.7 9.7 10.9 9.9 10.1 12.2 11.7 11.7 16.7 13.7 13.3 12.7 16.5 14.0 14.1 9.6 25.1 20002000 6.3 5.6 6.9 7.8 7.5 7.7 10.1 12.4 11.4 10.3 10.2 10.2 9.5 9.0 9.8 9.1 8.0 9.1 8.0 8.1 9.8 9.2 8.9 13.1 10.1 9.3 8.2 10.5 7.5 6.0 0.7 3.0 -15.1 20012001 6.6 5.9 7.2 8.1 7.8 8.0 10.3 12.6 11.5 10.5 10.4 10.4 9.8 9.3 10.1 9.5 8.5 9.5 8.5 8.6 10.3 9.7 9.5 13.3 10.7 10.0 9.2 11.3 8.9 8.0 4.4 7.3 -0.7 16.2 20022002 5.7 5.0 6.2 7.0 6.7 6.9 9.0 11.1 10.1 9.1 8.9 8.9 8.2 7.6 8.3 7.6 6.6 7.5 6.4 6.4 7.8 7.1 6.7 9.9 7.3 6.4 5.2 6.5 3.9 2.3 -1.5 -0.9 -8.3 -4.6 -21.7 20032003 6.8 6.2 7.4 8.2 7.9 8.1 10.3 12.4 11.4 10.5 10.4 10.4 9.8 9.4 10.1 9.5 8.6 9.6 8.7 8.8 10.2 9.7 9.6 12.8 10.6 10.1 9.4 11.1 9.2 8.6 6.2 8.4 4.6 12.1 10.1 54.9 20042004 7.0 6.4 7.6 8.4 8.2 8.4 10.5 12.5 11.6 10.7 10.6 10.6 10.1 9.6 10.3 9.8 8.9 9.8 9.0 9.1 10.5 10.1 10.0 13.0 11.0 10.5 9.9 11.5 9.9 9.4 7.5 9.5 6.7 12.9 11.8 33.7 15.4 20052005 6.9 6.3 7.5 8.2 8.0 8.2 10.2 12.2 11.2 10.4 10.3 10.3 9.7 9.3 10.0 9.4 8.6 9.5 8.6 8.8 10.0 9.6 9.5 12.3 10.3 9.8 9.3 10.6 9.1 8.6 6.8 8.4 5.9 10.7 9.3 22.2 8.6 2.1 20062006 7.1 6.5 7.6 8.4 8.1 8.3 10.3 12.2 11.3 10.5 10.4 10.4 9.9 9.5 10.1 9.6 8.9 9.7 8.9 9.0 10.3 9.8 9.7 12.4 10.6 10.1 9.6 10.9 9.5 9.1 7.6 9.1 7.0 11.2 10.3 20.1 10.4 8.0 14.2 20072007 6.7 6.1 7.2 7.9 7.7 7.9 9.8 11.6 10.7 9.9 9.8 9.8 9.3 8.8 9.5 8.9 8.2 8.9 8.2 8.2 9.4 8.9 8.8 11.2 9.4 8.9 8.4 9.5 8.1 7.6 6.1 7.3 5.2 8.5 7.3 14.3 5.9 2.9 3.4 -6.4 20082008 5.3 4.7 5.7 6.4 6.1 6.2 8.0 9.7 8.8 7.9 7.7 7.7 7.1 6.6 7.1 6.6 5.7 6.3 5.5 5.5 6.4 5.8 5.5 7.6 5.7 5.1 4.3 5.0 3.5 2.7 0.9 1.4 -0.9 1.1 -1.0 3.0 -5.1 -9.6 -13.2 -24.3 -38.7 20092009 6.1 5.5 6.5 7.2 6.9 7.1 8.8 10.5 9.7 8.8 8.7 8.7 8.2 7.7 8.2 7.7 7.0 7.6 6.9 6.9 7.8 7.4 7.2 9.2 7.5 7.0 6.4 7.2 5.9 5.3 3.9 4.7 2.8 5.0 3.7 8.0 1.7 -0.9 -1.6 -6.4 -6.3 43.1 20102010 6.5 6.0 7.0 7.6 7.4 7.6 9.3 10.9 10.1 9.3 9.2 9.2 8.7 8.3 8.9 8.4 7.7 8.3 7.6 7.7 8.6 8.2 8.1 10.0 8.5 8.1 7.6 8.4 7.2 6.8 5.6 6.4 4.9 7.1 6.1 10.3 5.0 3.4 3.6 1.2 3.8 35.2 27.6 20112011 6.2 5.6 6.6 7.2 7.0 7.1 8.8 10.4 9.6 8.8 8.7 8.6 8.2 7.8 8.2 7.8 7.1 7.7 7.0 7.0 7.9 7.5 7.3 9.1 7.6 7.2 6.6 7.3 6.2 5.7 4.5 5.2 3.7 5.6 4.6 8.0 3.3 1.7 1.6 -0.8 0.7 18.8 8.3 -8.1 20122012 6.4 5.8 6.8 7.4 7.2 7.3 9.0 10.5 9.7 9.0 8.9 8.8 8.4 8.0 8.5 8.0 7.4 7.9 7.3 7.3 8.2 7.8 7.6 9.4 8.0 7.6 7.1 7.8 6.7 6.3 5.2 5.9 4.6 6.4 5.6 8.8 4.6 3.3 3.5 1.8 3.5 18.0 10.6 3.0 15.4

1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

19681968 6.1 19691969 -4.3 -13.7 19701970 -3.4 -7.8 -1.4 19711971 -0.1 -2.0 4.4 10.6 19721972 2.8 2.0 7.9 12.8 15.0 19731973 -1.7 -3.2 -0.4 -0.1 -5.0 -21.6 19741974 -7.3 -9.3 -8.4 -10.1 -16.1 -28.3 -34.5 19751975 -3.4 -4.7 -3.1 -3.5 -6.7 -13.0 -8.3 28.2 19761976 -1.2 -2.1 -0.3 -0.1 -2.2 -6.1 -0.2 23.1 18.2 19771977 -2.5 -3.4 -2.0 -2.1 -4.1 -7.5 -3.6 9.6 1.3 -13.1 19781978 -2.5 -3.3 -2.0 -2.1 -3.8 -6.6 -3.3 6.5 0.1 -7.8 -2.3 19791979 -1.9 -2.6 -1.4 -1.4 -2.8 -5.1 -2.1 6.1 1.2 -3.9 1.1 4.5 19801980 -0.5 -1.0 0.2 0.4 -0.7 -2.5 0.5 8.0 4.3 1.1 6.4 11.0 17.8 19811981 -1.4 -2.0 -0.9 -0.9 -2.0 -3.7 -1.2 4.7 1.3 -1.8 1.2 2.4 1.4 -12.7 19821982 -0.3 -0.8 0.3 0.5 -0.4 -1.8 0.6 6.2 3.4 1.1 4.2 5.9 6.3 1.0 16.9 19831983 0.7 0.4 1.5 1.7 1.0 -0.2 2.3 7.4 5.1 3.4 6.4 8.2 9.1 6.4 17.5 18.0 19841984 0.8 0.5 1.5 1.8 1.1 0.0 2.3 6.9 4.8 3.2 5.8 7.2 7.7 5.3 12.1 9.8 2.2 19851985 2.1 1.9 3.0 3.3 2.8 1.9 4.1 8.6 6.8 5.6 8.2 9.8 10.8 9.4 15.8 15.4 14.1 27.4 19861986 2.9 2.7 3.8 4.1 3.7 2.9 5.1 9.3 7.7 6.7 9.2 10.7 11.6 10.7 16.0 15.8 15.1 22.1 17.1 19871987 2.8 2.6 3.6 3.9 3.5 2.8 4.8 8.6 7.1 6.2 8.3 9.6 10.2 9.2 13.3 12.6 11.3 14.6 8.7 0.8 19881988 3.2 3.1 4.0 4.3 4.0 3.3 5.2 8.9 7.5 6.6 8.6 9.8 10.4 9.5 13.1 12.5 11.4 13.9 9.7 6.2 11.9 19891989 4.1 4.0 5.0 5.4 5.1 4.5 6.4 9.9 8.7 8.0 10.0 11.2 11.8 11.2 14.6 14.3 13.7 16.1 13.5 12.3 18.6 25.7 19901990 3.5 3.4 4.3 4.6 4.3 3.7 5.5 8.6 7.4 6.7 8.4 9.4 9.8 9.0 11.8 11.1 10.2 11.6 8.7 6.7 8.7 7.1 -8.7 19911991 4.4 4.3 5.2 5.6 5.3 4.8 6.5 9.6 8.5 7.9 9.6 10.6 11.1 10.5 13.2 12.8 12.1 13.6 11.5 10.4 12.9 13.3 7.5 26.6 19921992 4.4 4.3 5.2 5.5 5.3 4.8 6.4 9.3 8.3 7.7 9.3 10.1 10.6 10.0 12.3 11.9 11.2 12.4 10.4 9.4 11.2 11.0 6.5 15.0 4.5 19931993 4.5 4.4 5.3 5.6 5.4 4.9 6.5 9.2 8.2 7.7 9.1 9.9 10.3 9.8 11.9 11.5 10.8 11.8 10.0 9.0 10.5 10.2 6.6 12.3 5.8 7.1 19941994 4.3 4.2 5.0 5.3 5.1 4.6 6.1 8.7 7.7 7.2 8.5 9.2 9.5 8.9 10.8 10.3 9.7 10.4 8.7 7.7 8.7 8.2 5.0 8.7 3.4 2.8 -1.3 19951995 5.2 5.2 6.0 6.3 6.1 5.8 7.2 9.7 8.9 8.4 9.8 10.5 10.9 10.5 12.3 12.0 11.5 12.4 11.0 10.3 11.6 11.6 9.4 13.4 10.3 12.3 15.0 34.0 19961996 5.7 5.7 6.5 6.8 6.6 6.3 7.7 10.1 9.4 8.9 10.2 11.0 11.4 11.0 12.8 12.5 12.1 12.9 11.7 11.2 12.4 12.5 10.7 14.3 12.0 13.9 16.3 26.3 19.0 19971997 6.4 6.4 7.2 7.6 7.5 7.2 8.6 11.0 10.3 9.9 11.2 12.0 12.4 12.1 13.8 13.6 13.3 14.2 13.2 12.9 14.1 14.4 13.1 16.6 15.0 17.2 19.9 27.9 24.9 31.1 19981998 7.0 7.1 7.9 8.2 8.1 7.9 9.2 11.6 10.9 10.6 11.9 12.6 13.1 12.8 14.5 14.4 14.2 15.1 14.2 13.9 15.2 15.6 14.5 17.8 16.6 18.7 21.2 27.5 25.5 28.8 26.6 19991999 7.4 7.4 8.2 8.5 8.5 8.2 9.6 11.8 11.2 10.9 12.1 12.9 13.3 13.1 14.7 14.6 14.4 15.3 14.4 14.2 15.4 15.8 14.8 17.8 16.7 18.6 20.6 25.5 23.5 25.1 22.1 17.9 20002000 6.7 6.7 7.5 7.8 7.7 7.4 8.7 10.8 10.2 9.8 11.0 11.6 12.0 11.7 13.1 12.9 12.6 13.3 12.4 12.1 13.0 13.1 12.1 14.4 13.1 14.2 15.3 18.3 15.4 14.5 9.5 1.8 -12.1 20012001 6.1 6.1 6.7 7.0 6.9 6.6 7.8 9.8 9.2 8.8 9.8 10.4 10.7 10.3 11.6 11.4 11.0 11.6 10.6 10.2 10.9 10.9 9.7 11.5 10.1 10.8 11.3 13.2 10.0 8.3 3.3 -3.5 -12.7 -13.2 20022002 5.1 5.0 5.7 5.9 5.7 5.4 6.5 8.4 7.7 7.3 8.2 8.7 8.9 8.5 9.6 9.3 8.8 9.2 8.2 7.7 8.2 7.9 6.7 8.0 6.5 6.7 6.7 7.7 4.4 2.1 -2.8 -9.1 -16.6 -18.8 -23.9 20032003 5.6 5.6 6.2 6.5 6.3 6.1 7.1 9.0 8.3 8.0 8.9 9.4 9.6 9.2 10.3 10.0 9.6 10.1 9.2 8.7 9.2 9.1 8.0 9.4 8.0 8.4 8.5 9.6 6.9 5.3 1.5 -2.9 -7.5 -5.9 -2.0 26.3 20042004 5.6 5.6 6.2 6.5 6.4 6.1 7.1 8.9 8.3 8.0 8.8 9.3 9.5 9.1 10.2 9.9 9.5 9.9 9.1 8.6 9.1 8.9 7.9 9.2 8.0 8.3 8.4 9.4 7.0 5.5 2.3 -1.2 -4.7 -2.7 1.1 16.5 7.4 20052005 5.5 5.5 6.1 6.3 6.2 6.0 7.0 8.7 8.1 7.7 8.6 9.0 9.1 8.8 9.8 9.5 9.2 9.5 8.7 8.2 8.7 8.5 7.5 8.7 7.5 7.7 7.8 8.7 6.4 5.1 2.2 -0.9 -3.7 -1.9 1.2 11.2 4.4 1.4 20062006 5.7 5.7 6.3 6.5 6.4 6.2 7.1 8.8 8.2 7.9 8.7 9.1 9.3 9.0 9.9 9.7 9.3 9.7 8.9 8.5 8.9 8.7 7.8 8.9 7.8 8.1 8.2 9.0 7.0 5.8 3.4 0.8 -1.5 0.4 3.4 11.6 7.1 7.0 12.9 20072007 5.6 5.6 6.2 6.4 6.3 6.0 7.0 8.6 8.0 7.7 8.4 8.8 9.0 8.7 9.6 9.3 9.0 9.3 8.5 8.1 8.5 8.3 7.4 8.5 7.4 7.6 7.7 8.4 6.5 5.4 3.2 0.8 -1.1 0.6 3.1 9.5 5.7 5.1 7.0 1.4 20082008 4.3 4.2 4.7 4.9 4.8 4.5 5.3 6.8 6.2 5.9 6.6 6.9 6.9 6.6 7.4 7.0 6.6 6.8 6.0 5.5 5.7 5.4 4.5 5.2 4.1 4.1 3.9 4.3 2.3 1.0 -1.4 -3.8 -6.0 -5.2 -4.0 -0.1 -4.7 -7.5 -10.4 -20.1 -37.1 20092009 4.7 4.7 5.2 5.3 5.2 5.0 5.8 7.3 6.7 6.4 7.0 7.4 7.5 7.1 7.9 7.6 7.2 7.4 6.6 6.2 6.5 6.2 5.3 6.1 5.1 5.1 5.0 5.4 3.6 2.5 0.5 -1.6 -3.4 -2.4 -0.9 2.9 -0.6 -2.1 -3.0 -7.7 -12.0 23.1 20102010 4.9 4.9 5.4 5.5 5.4 5.2 6.0 7.4 6.9 6.6 7.2 7.5 7.6 7.3 8.1 7.8 7.4 7.6 6.9 6.5 6.8 6.5 5.7 6.5 5.5 5.6 5.5 5.9 4.3 3.3 1.4 -0.5 -2.0 -0.9 0.6 4.1 1.3 0.3 0.1 -2.9 -4.2 18.1 13.4 20112011 4.8 4.7 5.2 5.4 5.2 5.0 5.8 7.2 6.7 6.3 7.0 7.3 7.4 7.0 7.8 7.5 7.1 7.3 6.6 6.2 6.4 6.2 5.4 6.1 5.2 5.2 5.1 5.5 3.9 3.0 1.2 -0.5 -1.9 -0.9 0.4 3.6 1.0 0.2 0.0 -2.5 -3.4 11.4 6.0 -0.8 20122012 5.0 4.9 5.4 5.6 5.5 5.2 6.0 7.4 6.9 6.6 7.2 7.5 7.6 7.3 8.0 7.7 7.3 7.5 6.9 6.5 6.7 6.5 5.7 6.5 5.6 5.6 5.6 6.0 4.5 3.7 2.0 0.5 -0.7 0.3 1.6 4.6 2.4 1.8 1.9 0.1 -0.1 12.1 8.6 6.3 14.0

1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

Page 28: Dfa matrix book us_2013 - copy

DIMENSIONAL FUND ADVISORS MATRIX BOOK 201352 53

Data provided by ibbotson associates.

LONG-TERm GOVERNmENT BONDS

1926–2012: Real Returns (%), Inflation-Adjusted

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

$9.68

20121926

19261926 9.4 19271927 10.3 11.3 19281928 7.1 6.0 1.1 19291929 6.1 5.1 2.1 3.2 19301930 7.2 6.6 5.1 7.2 11.4 19311931 6.7 6.2 5.0 6.3 8.0 4.6 19321932 9.8 9.9 9.6 11.9 14.9 16.7 30.3 19331933 8.5 8.3 7.9 9.3 10.8 10.7 13.8 -0.6 19341934 8.4 8.3 7.8 9.0 10.2 9.9 11.8 3.5 7.8 19351935 7.7 7.5 7.1 8.0 8.8 8.3 9.2 3.0 4.8 1.9 19361936 7.6 7.4 7.0 7.8 8.4 7.9 8.6 3.8 5.3 4.1 6.2 19371937 6.7 6.4 6.0 6.5 7.0 6.3 6.6 2.4 3.2 1.7 1.6 -2.8 19381938 6.8 6.6 6.2 6.7 7.1 6.6 6.9 3.4 4.3 3.4 3.9 2.7 8.5 19391939 6.8 6.6 6.2 6.7 7.1 6.6 6.8 3.9 4.6 4.0 4.5 3.9 7.5 6.5 19401940 6.7 6.5 6.1 6.6 6.9 6.4 6.6 4.0 4.7 4.2 4.6 4.2 6.7 5.8 5.1 19411941 5.7 5.5 5.1 5.4 5.6 5.0 5.1 2.6 3.0 2.3 2.4 1.7 2.8 1.0 -1.7 -8.0 19421942 5.0 4.7 4.3 4.6 4.7 4.1 4.1 1.8 2.0 1.3 1.2 0.4 1.1 -0.7 -3.0 -6.8 -5.6 19431943 4.7 4.4 4.0 4.2 4.2 3.7 3.6 1.5 1.7 1.0 0.9 0.2 0.7 -0.8 -2.5 -4.9 -3.3 -1.1 19441944 4.4 4.2 3.8 3.9 4.0 3.5 3.4 1.4 1.6 1.0 0.9 0.3 0.7 -0.5 -1.9 -3.6 -2.0 -0.2 0.7 19451945 4.6 4.4 4.0 4.2 4.3 3.8 3.7 1.9 2.2 1.7 1.6 1.1 1.6 0.7 -0.3 -1.3 0.5 2.6 4.4 8.3 19461946 3.6 3.3 2.9 3.0 3.0 2.5 2.3 0.6 0.7 0.1 -0.1 -0.7 -0.4 -1.5 -2.6 -3.8 -2.9 -2.3 -2.7 -4.3 -15.5 19471947 2.9 2.6 2.2 2.2 2.2 1.7 1.5 -0.2 -0.2 -0.8 -1.0 -1.6 -1.5 -2.6 -3.6 -4.8 -4.3 -4.0 -4.7 -6.5 -13.1 -10.7 19481948 2.8 2.5 2.1 2.1 2.1 1.6 1.4 -0.2 -0.1 -0.7 -0.9 -1.4 -1.3 -2.2 -3.2 -4.2 -3.6 -3.3 -3.7 -4.7 -8.7 -5.2 0.7 19491949 3.0 2.7 2.4 2.4 2.4 1.9 1.8 0.3 0.4 -0.1 -0.2 -0.7 -0.5 -1.3 -2.1 -2.8 -2.2 -1.7 -1.8 -2.2 -4.7 -0.9 4.5 8.4 19501950 2.7 2.4 2.0 2.1 2.0 1.6 1.4 0.0 0.0 -0.4 -0.6 -1.1 -0.9 -1.7 -2.4 -3.1 -2.5 -2.1 -2.3 -2.8 -4.9 -2.0 1.1 1.2 -5.4 19511951 2.2 1.9 1.5 1.5 1.5 1.0 0.8 -0.5 -0.5 -1.0 -1.2 -1.6 -1.5 -2.3 -3.0 -3.7 -3.2 -3.0 -3.2 -3.7 -5.6 -3.5 -1.6 -2.4 -7.4 -9.3 19521952 2.1 1.8 1.5 1.5 1.4 1.0 0.8 -0.5 -0.5 -0.9 -1.1 -1.5 -1.4 -2.1 -2.7 -3.3 -2.9 -2.6 -2.8 -3.2 -4.8 -2.9 -1.3 -1.7 -4.9 -4.6 0.3 19531953 2.1 1.9 1.5 1.5 1.5 1.1 0.9 -0.3 -0.3 -0.7 -0.8 -1.3 -1.2 -1.8 -2.3 -2.9 -2.4 -2.1 -2.3 -2.6 -3.9 -2.1 -0.6 -0.8 -3.0 -2.2 1.6 3.0 19541954 2.3 2.1 1.8 1.8 1.7 1.3 1.2 0.0 0.1 -0.3 -0.4 -0.8 -0.7 -1.2 -1.7 -2.2 -1.7 -1.4 -1.4 -1.6 -2.6 -0.9 0.6 0.6 -0.9 0.2 3.6 5.3 7.7 19551955 2.2 1.9 1.6 1.7 1.6 1.2 1.1 0.0 0.0 -0.4 -0.5 -0.8 -0.7 -1.2 -1.7 -2.1 -1.7 -1.4 -1.4 -1.6 -2.5 -1.0 0.3 0.2 -1.0 -0.1 2.3 2.9 2.9 -1.6 19561956 1.8 1.6 1.3 1.3 1.2 0.8 0.7 -0.4 -0.4 -0.7 -0.9 -1.2 -1.1 -1.6 -2.1 -2.5 -2.1 -1.9 -1.9 -2.2 -3.1 -1.7 -0.7 -0.9 -2.1 -1.5 0.1 0.0 -0.9 -5.0 -8.2 19571957 1.9 1.7 1.4 1.4 1.3 1.0 0.8 -0.2 -0.2 -0.5 -0.6 -0.9 -0.9 -1.3 -1.7 -2.1 -1.7 -1.5 -1.5 -1.7 -2.5 -1.2 -0.2 -0.3 -1.3 -0.7 0.8 0.9 0.4 -2.0 -2.1 4.3 19581958 1.6 1.4 1.1 1.1 1.0 0.6 0.5 -0.5 -0.5 -0.8 -1.0 -1.3 -1.2 -1.7 -2.1 -2.4 -2.1 -1.9 -1.9 -2.1 -2.9 -1.8 -0.9 -1.1 -2.1 -1.6 -0.5 -0.6 -1.3 -3.5 -4.0 -1.9 -7.7 19591959 1.4 1.2 0.9 0.9 0.8 0.5 0.3 -0.6 -0.6 -0.9 -1.1 -1.4 -1.3 -1.8 -2.1 -2.5 -2.2 -2.0 -2.1 -2.2 -2.9 -1.9 -1.1 -1.3 -2.2 -1.9 -0.9 -1.1 -1.7 -3.5 -4.0 -2.5 -5.8 -3.7 19601960 1.7 1.5 1.2 1.2 1.2 0.9 0.7 -0.2 -0.2 -0.5 -0.6 -0.8 -0.8 -1.2 -1.5 -1.8 -1.5 -1.3 -1.3 -1.4 -2.0 -1.0 -0.2 -0.3 -1.0 -0.5 0.5 0.5 0.1 -1.1 -0.9 1.0 -0.1 3.9 12.1 19611961 1.7 1.5 1.2 1.2 1.1 0.8 0.7 -0.2 -0.2 -0.4 -0.5 -0.8 -0.7 -1.1 -1.4 -1.7 -1.4 -1.2 -1.2 -1.3 -1.9 -0.9 -0.1 -0.2 -0.9 -0.5 0.5 0.5 0.2 -0.9 -0.7 0.8 0.0 2.7 6.0 0.3 19621962 1.8 1.6 1.3 1.3 1.3 1.0 0.9 0.0 0.0 -0.2 -0.3 -0.6 -0.5 -0.8 -1.1 -1.4 -1.1 -0.9 -0.8 -0.9 -1.4 -0.5 0.2 0.2 -0.4 0.0 0.9 1.0 0.8 -0.1 0.1 1.6 1.1 3.4 5.9 2.9 5.6 19631963 1.7 1.5 1.3 1.3 1.2 0.9 0.8 0.0 0.0 -0.2 -0.3 -0.6 -0.5 -0.8 -1.1 -1.4 -1.1 -0.8 -0.8 -0.9 -1.4 -0.5 0.2 0.2 -0.4 0.0 0.8 0.8 0.6 -0.1 0.1 1.3 0.8 2.6 4.3 1.8 2.5 -0.4 19641964 1.8 1.6 1.3 1.3 1.3 1.0 0.9 0.1 0.1 -0.2 -0.2 -0.5 -0.4 -0.7 -1.0 -1.2 -0.9 -0.7 -0.7 -0.7 -1.2 -0.3 0.3 0.3 -0.2 0.1 0.9 1.0 0.8 0.1 0.3 1.4 1.0 2.6 3.9 1.9 2.4 0.9 2.3 19651965 1.7 1.5 1.2 1.2 1.2 0.9 0.8 0.0 0.0 -0.2 -0.3 -0.5 -0.4 -0.7 -1.0 -1.2 -0.9 -0.7 -0.7 -0.8 -1.2 -0.4 0.2 0.2 -0.3 0.1 0.8 0.8 0.6 0.0 0.2 1.1 0.7 2.0 3.0 1.3 1.5 0.2 0.5 -1.2 19661966 1.6 1.5 1.2 1.2 1.2 0.9 0.8 0.0 0.1 -0.2 -0.2 -0.5 -0.4 -0.7 -0.9 -1.2 -0.9 -0.7 -0.7 -0.7 -1.1 -0.4 0.2 0.2 -0.3 0.1 0.7 0.8 0.6 0.0 0.2 1.0 0.7 1.8 2.6 1.1 1.3 0.2 0.4 -0.5 0.3 19671967 1.3 1.1 0.9 0.9 0.8 0.5 0.4 -0.3 -0.3 -0.6 -0.6 -0.8 -0.8 -1.1 -1.3 -1.6 -1.3 -1.1 -1.2 -1.2 -1.6 -0.9 -0.4 -0.5 -0.9 -0.7 -0.1 -0.1 -0.4 -1.0 -0.9 -0.2 -0.6 0.2 0.7 -0.9 -1.0 -2.3 -2.8 -4.4 -6.0 -11.91968 1.2 1.0 0.7 0.7 0.7 0.4 0.3 -0.5 -0.4 -0.7 -0.8 -1.0 -0.9 -1.2 -1.5 -1.7 -1.5 -1.3 -1.3 -1.4 -1.8 -1.1 -0.6 -0.7 -1.1 -0.9 -0.4 -0.4 -0.7 -1.2 -1.2 -0.6 -1.0 -0.3 0.1 -1.4 -1.6 -2.7 -3.2 -4.5 -5.6 -8.41969 0.9 0.7 0.4 0.4 0.4 0.1 0.0 -0.7 -0.7 -1.0 -1.1 -1.3 -1.2 -1.5 -1.8 -2.0 -1.8 -1.6 -1.7 -1.8 -2.2 -1.5 -1.1 -1.2 -1.6 -1.4 -1.0 -1.1 -1.3 -1.9 -1.9 -1.4 -1.9 -1.3 -1.1 -2.4 -2.8 -3.9 -4.5 -5.7 -6.8 -9.11970 1.0 0.8 0.6 0.6 0.5 0.2 0.1 -0.6 -0.6 -0.8 -0.9 -1.1 -1.0 -1.3 -1.5 -1.7 -1.5 -1.4 -1.4 -1.5 -1.8 -1.2 -0.8 -0.9 -1.3 -1.1 -0.6 -0.7 -0.9 -1.4 -1.4 -0.9 -1.2 -0.7 -0.4 -1.6 -1.8 -2.7 -3.0 -3.8 -4.4 -5.51971 1.2 1.0 0.8 0.8 0.7 0.5 0.4 -0.3 -0.3 -0.5 -0.6 -0.8 -0.7 -1.0 -1.2 -1.4 -1.2 -1.0 -1.0 -1.1 -1.4 -0.8 -0.4 -0.4 -0.8 -0.6 -0.1 -0.1 -0.3 -0.8 -0.7 -0.2 -0.5 0.1 0.4 -0.6 -0.7 -1.4 -1.5 -2.0 -2.2 -2.61972 1.2 1.0 0.8 0.8 0.7 0.5 0.4 -0.3 -0.2 -0.4 -0.5 -0.7 -0.6 -0.9 -1.1 -1.3 -1.1 -0.9 -0.9 -1.0 -1.3 -0.7 -0.3 -0.3 -0.7 -0.5 0.0 0.0 -0.2 -0.6 -0.6 -0.1 -0.3 0.2 0.5 -0.4 -0.4 -1.0 -1.1 -1.5 -1.6 -1.91973 1.0 0.8 0.6 0.6 0.5 0.3 0.2 -0.5 -0.5 -0.7 -0.7 -0.9 -0.9 -1.1 -1.3 -1.5 -1.3 -1.2 -1.2 -1.3 -1.6 -1.0 -0.6 -0.7 -1.0 -0.9 -0.5 -0.5 -0.7 -1.1 -1.0 -0.6 -0.9 -0.4 -0.2 -1.1 -1.2 -1.8 -1.9 -2.4 -2.5 -2.91974 0.8 0.6 0.4 0.4 0.3 0.1 0.0 -0.6 -0.6 -0.8 -0.9 -1.1 -1.0 -1.3 -1.5 -1.7 -1.5 -1.4 -1.4 -1.5 -1.8 -1.2 -0.9 -0.9 -1.3 -1.1 -0.7 -0.8 -1.0 -1.4 -1.4 -1.0 -1.3 -0.9 -0.7 -1.5 -1.7 -2.2 -2.4 -2.9 -3.0 -3.41975 0.8 0.7 0.4 0.4 0.4 0.1 0.0 -0.6 -0.6 -0.8 -0.8 -1.0 -1.0 -1.2 -1.4 -1.6 -1.4 -1.3 -1.3 -1.3 -1.6 -1.1 -0.8 -0.8 -1.2 -1.0 -0.6 -0.7 -0.8 -1.2 -1.2 -0.8 -1.1 -0.7 -0.5 -1.3 -1.4 -1.9 -2.0 -2.4 -2.5 -2.91976 1.0 0.9 0.7 0.6 0.6 0.4 0.3 -0.3 -0.3 -0.5 -0.6 -0.7 -0.7 -0.9 -1.1 -1.3 -1.1 -0.9 -0.9 -1.0 -1.3 -0.7 -0.4 -0.4 -0.7 -0.5 -0.2 -0.2 -0.3 -0.7 -0.6 -0.2 -0.5 -0.1 0.2 -0.5 -0.6 -1.0 -1.1 -1.3 -1.4 -1.51977 0.9 0.7 0.5 0.5 0.4 0.2 0.1 -0.5 -0.5 -0.7 -0.7 -0.9 -0.8 -1.1 -1.2 -1.4 -1.2 -1.1 -1.1 -1.2 -1.4 -0.9 -0.6 -0.6 -1.0 -0.8 -0.4 -0.5 -0.6 -1.0 -0.9 -0.6 -0.8 -0.4 -0.2 -0.9 -1.0 -1.4 -1.5 -1.8 -1.8 -2.01978 0.7 0.5 0.3 0.3 0.2 0.0 -0.1 -0.7 -0.7 -0.9 -0.9 -1.1 -1.0 -1.3 -1.5 -1.6 -1.5 -1.3 -1.3 -1.4 -1.7 -1.2 -0.9 -1.0 -1.3 -1.1 -0.8 -0.8 -1.0 -1.3 -1.3 -1.0 -1.2 -0.9 -0.7 -1.4 -1.5 -1.9 -2.0 -2.3 -2.4 -2.71979 0.4 0.2 0.0 0.0 -0.1 -0.3 -0.4 -0.9 -1.0 -1.1 -1.2 -1.4 -1.3 -1.6 -1.8 -1.9 -1.8 -1.7 -1.7 -1.8 -2.0 -1.6 -1.3 -1.4 -1.7 -1.5 -1.2 -1.3 -1.5 -1.8 -1.8 -1.5 -1.8 -1.5 -1.4 -2.1 -2.2 -2.6 -2.8 -3.1 -3.2 -3.51980 0.1 -0.1 -0.3 -0.3 -0.4 -0.6 -0.7 -1.3 -1.3 -1.5 -1.5 -1.7 -1.7 -1.9 -2.1 -2.3 -2.1 -2.0 -2.1 -2.1 -2.4 -2.0 -1.7 -1.8 -2.1 -2.0 -1.7 -1.8 -2.0 -2.3 -2.4 -2.1 -2.4 -2.1 -2.1 -2.7 -2.9 -3.3 -3.5 -3.8 -4.0 -4.31981 0.0 -0.2 -0.4 -0.4 -0.5 -0.7 -0.8 -1.4 -1.4 -1.6 -1.6 -1.8 -1.8 -2.0 -2.2 -2.4 -2.2 -2.1 -2.2 -2.3 -2.5 -2.1 -1.9 -1.9 -2.3 -2.1 -1.9 -2.0 -2.1 -2.5 -2.5 -2.3 -2.6 -2.3 -2.3 -2.9 -3.1 -3.5 -3.7 -4.0 -4.2 -4.51982 0.5 0.3 0.2 0.1 0.1 -0.1 -0.2 -0.7 -0.7 -0.9 -1.0 -1.1 -1.1 -1.3 -1.5 -1.6 -1.5 -1.4 -1.4 -1.4 -1.7 -1.3 -1.0 -1.0 -1.3 -1.2 -0.9 -0.9 -1.1 -1.4 -1.3 -1.1 -1.3 -1.0 -0.9 -1.4 -1.5 -1.9 -1.9 -2.2 -2.2 -2.41983 0.4 0.3 0.1 0.1 0.0 -0.2 -0.3 -0.8 -0.8 -1.0 -1.0 -1.2 -1.1 -1.3 -1.5 -1.7 -1.5 -1.4 -1.4 -1.5 -1.7 -1.3 -1.0 -1.1 -1.3 -1.2 -0.9 -1.0 -1.1 -1.4 -1.4 -1.1 -1.3 -1.1 -1.0 -1.5 -1.6 -1.9 -2.0 -2.2 -2.3 -2.41984 0.6 0.5 0.3 0.3 0.2 0.0 -0.1 -0.6 -0.6 -0.7 -0.8 -0.9 -0.9 -1.1 -1.2 -1.4 -1.2 -1.1 -1.1 -1.2 -1.4 -1.0 -0.7 -0.8 -1.0 -0.9 -0.6 -0.6 -0.7 -1.0 -1.0 -0.7 -0.9 -0.6 -0.5 -1.0 -1.1 -1.4 -1.4 -1.6 -1.6 -1.71985 1.0 0.9 0.7 0.7 0.6 0.4 0.4 -0.1 -0.1 -0.3 -0.3 -0.4 -0.4 -0.6 -0.7 -0.8 -0.7 -0.6 -0.5 -0.6 -0.8 -0.4 -0.1 -0.1 -0.3 -0.2 0.1 0.1 0.0 -0.2 -0.2 0.1 -0.1 0.2 0.4 0.0 -0.1 -0.3 -0.3 -0.4 -0.4 -0.41986 1.3 1.2 1.0 1.0 1.0 0.8 0.7 0.3 0.3 0.1 0.1 0.0 0.0 -0.1 -0.3 -0.4 -0.2 -0.1 0.0 -0.1 -0.3 0.2 0.4 0.4 0.2 0.4 0.7 0.7 0.6 0.4 0.5 0.8 0.7 1.0 1.2 0.8 0.8 0.6 0.6 0.6 0.6 0.71987 1.2 1.1 0.9 0.9 0.8 0.7 0.6 0.1 0.1 0.0 0.0 -0.2 -0.1 -0.3 -0.4 -0.5 -0.3 -0.2 -0.2 -0.2 -0.4 0.0 0.3 0.2 0.0 0.2 0.5 0.5 0.4 0.2 0.2 0.5 0.4 0.7 0.9 0.5 0.5 0.3 0.3 0.2 0.3 0.31988 1.2 1.1 1.0 1.0 0.9 0.7 0.7 0.2 0.2 0.1 0.1 -0.1 0.0 -0.2 -0.3 -0.4 -0.2 -0.1 -0.1 -0.1 -0.3 0.1 0.4 0.4 0.2 0.3 0.6 0.6 0.5 0.3 0.4 0.7 0.6 0.8 1.0 0.6 0.6 0.5 0.5 0.4 0.5 0.51989 1.4 1.3 1.1 1.1 1.1 0.9 0.9 0.4 0.4 0.3 0.3 0.2 0.2 0.1 0.0 -0.1 0.0 0.1 0.2 0.2 0.0 0.4 0.7 0.7 0.5 0.6 0.9 0.9 0.9 0.7 0.7 1.0 0.9 1.2 1.4 1.0 1.1 0.9 0.9 0.9 1.0 1.01990 1.4 1.3 1.1 1.1 1.1 0.9 0.9 0.4 0.4 0.3 0.3 0.2 0.2 0.1 0.0 -0.1 0.0 0.1 0.2 0.2 0.0 0.4 0.6 0.6 0.5 0.6 0.9 0.9 0.8 0.7 0.7 1.0 0.9 1.2 1.3 1.0 1.0 0.9 0.9 0.9 0.9 1.01991 1.6 1.5 1.3 1.3 1.3 1.2 1.1 0.7 0.7 0.6 0.5 0.4 0.5 0.4 0.2 0.1 0.3 0.4 0.5 0.5 0.3 0.7 1.0 1.0 0.8 1.0 1.2 1.2 1.2 1.0 1.1 1.4 1.3 1.6 1.8 1.4 1.5 1.3 1.4 1.4 1.5 1.51992 1.7 1.6 1.4 1.4 1.4 1.2 1.2 0.8 0.8 0.7 0.6 0.5 0.6 0.5 0.3 0.3 0.4 0.6 0.6 0.6 0.4 0.8 1.1 1.1 0.9 1.1 1.3 1.4 1.3 1.2 1.2 1.5 1.4 1.7 1.9 1.6 1.6 1.5 1.6 1.5 1.6 1.71993 1.8 1.7 1.6 1.6 1.6 1.4 1.4 1.0 1.0 0.9 0.9 0.8 0.8 0.7 0.6 0.5 0.7 0.8 0.9 0.9 0.7 1.1 1.4 1.4 1.2 1.4 1.6 1.7 1.7 1.5 1.6 1.9 1.8 2.1 2.3 2.0 2.0 1.9 2.0 2.0 2.1 2.21994 1.7 1.6 1.4 1.4 1.4 1.2 1.2 0.8 0.8 0.7 0.7 0.6 0.6 0.5 0.4 0.3 0.5 0.6 0.6 0.6 0.5 0.8 1.1 1.1 1.0 1.1 1.4 1.4 1.3 1.2 1.3 1.5 1.5 1.7 1.9 1.6 1.6 1.5 1.6 1.6 1.6 1.71995 2.0 1.9 1.8 1.8 1.8 1.6 1.6 1.2 1.2 1.1 1.1 1.0 1.1 0.9 0.8 0.8 0.9 1.1 1.1 1.1 1.0 1.3 1.6 1.6 1.5 1.6 1.9 1.9 1.9 1.8 1.9 2.1 2.1 2.4 2.5 2.3 2.3 2.2 2.3 2.3 2.4 2.51996 1.9 1.8 1.7 1.7 1.7 1.5 1.5 1.1 1.1 1.0 1.0 0.9 1.0 0.8 0.7 0.7 0.8 1.0 1.0 1.0 0.9 1.2 1.5 1.5 1.4 1.5 1.8 1.8 1.8 1.6 1.7 2.0 1.9 2.2 2.3 2.1 2.1 2.0 2.1 2.1 2.2 2.31997 2.1 2.0 1.8 1.9 1.8 1.7 1.7 1.3 1.3 1.2 1.2 1.1 1.2 1.1 1.0 0.9 1.1 1.2 1.2 1.2 1.1 1.5 1.7 1.7 1.6 1.8 2.0 2.1 2.0 1.9 2.0 2.3 2.2 2.5 2.6 2.4 2.4 2.4 2.4 2.4 2.6 2.61998 2.2 2.1 2.0 2.0 2.0 1.8 1.8 1.4 1.4 1.3 1.3 1.3 1.3 1.2 1.1 1.1 1.2 1.4 1.4 1.4 1.3 1.6 1.9 1.9 1.8 1.9 2.2 2.2 2.2 2.1 2.2 2.5 2.4 2.7 2.8 2.6 2.7 2.6 2.7 2.7 2.8 2.91999 2.0 1.9 1.8 1.8 1.8 1.6 1.6 1.2 1.2 1.1 1.1 1.0 1.1 1.0 0.9 0.8 1.0 1.1 1.2 1.2 1.0 1.4 1.6 1.6 1.5 1.7 1.9 1.9 1.9 1.8 1.9 2.1 2.1 2.3 2.5 2.2 2.3 2.2 2.3 2.3 2.4 2.42000 2.2 2.1 2.0 2.0 2.0 1.8 1.8 1.4 1.5 1.4 1.4 1.3 1.4 1.2 1.2 1.1 1.3 1.4 1.4 1.4 1.3 1.7 1.9 1.9 1.8 2.0 2.2 2.2 2.2 2.1 2.2 2.4 2.4 2.6 2.8 2.6 2.6 2.6 2.7 2.7 2.8 2.92001 2.2 2.1 2.0 2.0 2.0 1.8 1.8 1.4 1.5 1.4 1.4 1.3 1.4 1.3 1.2 1.1 1.3 1.4 1.4 1.4 1.3 1.7 1.9 1.9 1.8 2.0 2.2 2.2 2.2 2.1 2.2 2.4 2.4 2.6 2.8 2.6 2.6 2.6 2.6 2.6 2.8 2.82002 2.3 2.3 2.1 2.2 2.1 2.0 2.0 1.6 1.7 1.6 1.6 1.5 1.6 1.5 1.4 1.3 1.5 1.6 1.7 1.7 1.6 1.9 2.1 2.2 2.0 2.2 2.4 2.5 2.5 2.4 2.4 2.7 2.7 2.9 3.1 2.9 2.9 2.9 2.9 3.0 3.1 3.22003 2.3 2.2 2.1 2.1 2.1 2.0 1.9 1.6 1.6 1.5 1.5 1.5 1.5 1.4 1.4 1.3 1.5 1.6 1.6 1.6 1.5 1.8 2.1 2.1 2.0 2.1 2.4 2.4 2.4 2.3 2.4 2.6 2.6 2.8 3.0 2.8 2.8 2.8 2.9 2.9 3.0 3.12004 2.3 2.3 2.1 2.2 2.1 2.0 2.0 1.6 1.7 1.6 1.6 1.5 1.6 1.5 1.4 1.4 1.5 1.6 1.7 1.7 1.6 1.9 2.1 2.2 2.1 2.2 2.4 2.5 2.5 2.4 2.4 2.7 2.6 2.9 3.0 2.8 2.9 2.8 2.9 2.9 3.0 3.12005 2.4 2.3 2.2 2.2 2.2 2.1 2.0 1.7 1.7 1.6 1.6 1.6 1.6 1.5 1.5 1.4 1.6 1.7 1.7 1.7 1.6 1.9 2.2 2.2 2.1 2.2 2.5 2.5 2.5 2.4 2.5 2.7 2.7 2.9 3.1 2.9 2.9 2.9 2.9 3.0 3.1 3.12006 2.3 2.2 2.1 2.1 2.1 2.0 2.0 1.6 1.7 1.6 1.6 1.5 1.6 1.5 1.4 1.4 1.5 1.6 1.7 1.7 1.6 1.9 2.1 2.1 2.0 2.2 2.4 2.4 2.4 2.3 2.4 2.6 2.6 2.8 3.0 2.8 2.8 2.8 2.8 2.9 3.0 3.02007 2.4 2.3 2.2 2.2 2.2 2.1 2.0 1.7 1.7 1.6 1.6 1.6 1.6 1.5 1.5 1.4 1.6 1.7 1.7 1.7 1.6 1.9 2.2 2.2 2.1 2.2 2.4 2.5 2.5 2.4 2.5 2.7 2.6 2.9 3.0 2.8 2.9 2.8 2.9 2.9 3.0 3.12008 2.6 2.5 2.4 2.4 2.4 2.3 2.3 2.0 2.0 1.9 1.9 1.9 1.9 1.8 1.8 1.7 1.9 2.0 2.1 2.1 2.0 2.3 2.5 2.5 2.5 2.6 2.8 2.9 2.9 2.8 2.9 3.1 3.1 3.3 3.4 3.3 3.3 3.3 3.4 3.4 3.5 3.62009 2.4 2.3 2.2 2.2 2.2 2.1 2.0 1.7 1.7 1.7 1.6 1.6 1.6 1.6 1.5 1.4 1.6 1.7 1.7 1.7 1.6 1.9 2.2 2.2 2.1 2.2 2.4 2.5 2.5 2.4 2.4 2.7 2.6 2.8 3.0 2.8 2.8 2.8 2.9 2.9 3.0 3.02010 2.4 2.3 2.2 2.3 2.2 2.1 2.1 1.8 1.8 1.7 1.7 1.7 1.7 1.6 1.6 1.5 1.7 1.8 1.8 1.8 1.8 2.0 2.3 2.3 2.2 2.3 2.5 2.6 2.6 2.5 2.6 2.8 2.7 2.9 3.1 2.9 3.0 2.9 3.0 3.0 3.1 3.22011 2.7 2.6 2.5 2.5 2.5 2.4 2.4 2.0 2.1 2.0 2.0 2.0 2.0 1.9 1.9 1.8 2.0 2.1 2.1 2.2 2.1 2.4 2.6 2.6 2.5 2.7 2.9 2.9 2.9 2.8 2.9 3.1 3.1 3.3 3.5 3.3 3.4 3.3 3.4 3.4 3.5 3.62012 2.6 2.6 2.5 2.5 2.5 2.4 2.3 2.0 2.1 2.0 2.0 1.9 2.0 1.9 1.9 1.8 2.0 2.1 2.1 2.1 2.1 2.3 2.6 2.6 2.5 2.6 2.8 2.9 2.9 2.8 2.9 3.1 3.1 3.3 3.4 3.3 3.3 3.3 3.4 3.4 3.5 3.5

1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967

19681968 6.1 19691969 -4.3 -13.7 19701970 -3.4 -7.8 -1.4 19711971 -0.1 -2.0 4.4 10.6 19721972 2.8 2.0 7.9 12.8 15.0 19731973 -1.7 -3.2 -0.4 -0.1 -5.0 -21.6 19741974 -7.3 -9.3 -8.4 -10.1 -16.1 -28.3 -34.5 19751975 -3.4 -4.7 -3.1 -3.5 -6.7 -13.0 -8.3 28.2 19761976 -1.2 -2.1 -0.3 -0.1 -2.2 -6.1 -0.2 23.1 18.2 19771977 -2.5 -3.4 -2.0 -2.1 -4.1 -7.5 -3.6 9.6 1.3 -13.1 19781978 -2.5 -3.3 -2.0 -2.1 -3.8 -6.6 -3.3 6.5 0.1 -7.8 -2.3 19791979 -1.9 -2.6 -1.4 -1.4 -2.8 -5.1 -2.1 6.1 1.2 -3.9 1.1 4.5 19801980 -0.5 -1.0 0.2 0.4 -0.7 -2.5 0.5 8.0 4.3 1.1 6.4 11.0 17.8 19811981 -1.4 -2.0 -0.9 -0.9 -2.0 -3.7 -1.2 4.7 1.3 -1.8 1.2 2.4 1.4 -12.7 19821982 -0.3 -0.8 0.3 0.5 -0.4 -1.8 0.6 6.2 3.4 1.1 4.2 5.9 6.3 1.0 16.9 19831983 0.7 0.4 1.5 1.7 1.0 -0.2 2.3 7.4 5.1 3.4 6.4 8.2 9.1 6.4 17.5 18.0 19841984 0.8 0.5 1.5 1.8 1.1 0.0 2.3 6.9 4.8 3.2 5.8 7.2 7.7 5.3 12.1 9.8 2.2 19851985 2.1 1.9 3.0 3.3 2.8 1.9 4.1 8.6 6.8 5.6 8.2 9.8 10.8 9.4 15.8 15.4 14.1 27.4 19861986 2.9 2.7 3.8 4.1 3.7 2.9 5.1 9.3 7.7 6.7 9.2 10.7 11.6 10.7 16.0 15.8 15.1 22.1 17.1 19871987 2.8 2.6 3.6 3.9 3.5 2.8 4.8 8.6 7.1 6.2 8.3 9.6 10.2 9.2 13.3 12.6 11.3 14.6 8.7 0.8 19881988 3.2 3.1 4.0 4.3 4.0 3.3 5.2 8.9 7.5 6.6 8.6 9.8 10.4 9.5 13.1 12.5 11.4 13.9 9.7 6.2 11.9 19891989 4.1 4.0 5.0 5.4 5.1 4.5 6.4 9.9 8.7 8.0 10.0 11.2 11.8 11.2 14.6 14.3 13.7 16.1 13.5 12.3 18.6 25.7 19901990 3.5 3.4 4.3 4.6 4.3 3.7 5.5 8.6 7.4 6.7 8.4 9.4 9.8 9.0 11.8 11.1 10.2 11.6 8.7 6.7 8.7 7.1 -8.7 19911991 4.4 4.3 5.2 5.6 5.3 4.8 6.5 9.6 8.5 7.9 9.6 10.6 11.1 10.5 13.2 12.8 12.1 13.6 11.5 10.4 12.9 13.3 7.5 26.6 19921992 4.4 4.3 5.2 5.5 5.3 4.8 6.4 9.3 8.3 7.7 9.3 10.1 10.6 10.0 12.3 11.9 11.2 12.4 10.4 9.4 11.2 11.0 6.5 15.0 4.5 19931993 4.5 4.4 5.3 5.6 5.4 4.9 6.5 9.2 8.2 7.7 9.1 9.9 10.3 9.8 11.9 11.5 10.8 11.8 10.0 9.0 10.5 10.2 6.6 12.3 5.8 7.1 19941994 4.3 4.2 5.0 5.3 5.1 4.6 6.1 8.7 7.7 7.2 8.5 9.2 9.5 8.9 10.8 10.3 9.7 10.4 8.7 7.7 8.7 8.2 5.0 8.7 3.4 2.8 -1.3 19951995 5.2 5.2 6.0 6.3 6.1 5.8 7.2 9.7 8.9 8.4 9.8 10.5 10.9 10.5 12.3 12.0 11.5 12.4 11.0 10.3 11.6 11.6 9.4 13.4 10.3 12.3 15.0 34.0 19961996 5.7 5.7 6.5 6.8 6.6 6.3 7.7 10.1 9.4 8.9 10.2 11.0 11.4 11.0 12.8 12.5 12.1 12.9 11.7 11.2 12.4 12.5 10.7 14.3 12.0 13.9 16.3 26.3 19.0 19971997 6.4 6.4 7.2 7.6 7.5 7.2 8.6 11.0 10.3 9.9 11.2 12.0 12.4 12.1 13.8 13.6 13.3 14.2 13.2 12.9 14.1 14.4 13.1 16.6 15.0 17.2 19.9 27.9 24.9 31.1 19981998 7.0 7.1 7.9 8.2 8.1 7.9 9.2 11.6 10.9 10.6 11.9 12.6 13.1 12.8 14.5 14.4 14.2 15.1 14.2 13.9 15.2 15.6 14.5 17.8 16.6 18.7 21.2 27.5 25.5 28.8 26.6 19991999 7.4 7.4 8.2 8.5 8.5 8.2 9.6 11.8 11.2 10.9 12.1 12.9 13.3 13.1 14.7 14.6 14.4 15.3 14.4 14.2 15.4 15.8 14.8 17.8 16.7 18.6 20.6 25.5 23.5 25.1 22.1 17.9 20002000 6.7 6.7 7.5 7.8 7.7 7.4 8.7 10.8 10.2 9.8 11.0 11.6 12.0 11.7 13.1 12.9 12.6 13.3 12.4 12.1 13.0 13.1 12.1 14.4 13.1 14.2 15.3 18.3 15.4 14.5 9.5 1.8 -12.1 20012001 6.1 6.1 6.7 7.0 6.9 6.6 7.8 9.8 9.2 8.8 9.8 10.4 10.7 10.3 11.6 11.4 11.0 11.6 10.6 10.2 10.9 10.9 9.7 11.5 10.1 10.8 11.3 13.2 10.0 8.3 3.3 -3.5 -12.7 -13.2 20022002 5.1 5.0 5.7 5.9 5.7 5.4 6.5 8.4 7.7 7.3 8.2 8.7 8.9 8.5 9.6 9.3 8.8 9.2 8.2 7.7 8.2 7.9 6.7 8.0 6.5 6.7 6.7 7.7 4.4 2.1 -2.8 -9.1 -16.6 -18.8 -23.9 20032003 5.6 5.6 6.2 6.5 6.3 6.1 7.1 9.0 8.3 8.0 8.9 9.4 9.6 9.2 10.3 10.0 9.6 10.1 9.2 8.7 9.2 9.1 8.0 9.4 8.0 8.4 8.5 9.6 6.9 5.3 1.5 -2.9 -7.5 -5.9 -2.0 26.3 20042004 5.6 5.6 6.2 6.5 6.4 6.1 7.1 8.9 8.3 8.0 8.8 9.3 9.5 9.1 10.2 9.9 9.5 9.9 9.1 8.6 9.1 8.9 7.9 9.2 8.0 8.3 8.4 9.4 7.0 5.5 2.3 -1.2 -4.7 -2.7 1.1 16.5 7.4 20052005 5.5 5.5 6.1 6.3 6.2 6.0 7.0 8.7 8.1 7.7 8.6 9.0 9.1 8.8 9.8 9.5 9.2 9.5 8.7 8.2 8.7 8.5 7.5 8.7 7.5 7.7 7.8 8.7 6.4 5.1 2.2 -0.9 -3.7 -1.9 1.2 11.2 4.4 1.4 20062006 5.7 5.7 6.3 6.5 6.4 6.2 7.1 8.8 8.2 7.9 8.7 9.1 9.3 9.0 9.9 9.7 9.3 9.7 8.9 8.5 8.9 8.7 7.8 8.9 7.8 8.1 8.2 9.0 7.0 5.8 3.4 0.8 -1.5 0.4 3.4 11.6 7.1 7.0 12.9 20072007 5.6 5.6 6.2 6.4 6.3 6.0 7.0 8.6 8.0 7.7 8.4 8.8 9.0 8.7 9.6 9.3 9.0 9.3 8.5 8.1 8.5 8.3 7.4 8.5 7.4 7.6 7.7 8.4 6.5 5.4 3.2 0.8 -1.1 0.6 3.1 9.5 5.7 5.1 7.0 1.4 20082008 4.3 4.2 4.7 4.9 4.8 4.5 5.3 6.8 6.2 5.9 6.6 6.9 6.9 6.6 7.4 7.0 6.6 6.8 6.0 5.5 5.7 5.4 4.5 5.2 4.1 4.1 3.9 4.3 2.3 1.0 -1.4 -3.8 -6.0 -5.2 -4.0 -0.1 -4.7 -7.5 -10.4 -20.1 -37.1 20092009 4.7 4.7 5.2 5.3 5.2 5.0 5.8 7.3 6.7 6.4 7.0 7.4 7.5 7.1 7.9 7.6 7.2 7.4 6.6 6.2 6.5 6.2 5.3 6.1 5.1 5.1 5.0 5.4 3.6 2.5 0.5 -1.6 -3.4 -2.4 -0.9 2.9 -0.6 -2.1 -3.0 -7.7 -12.0 23.1 20102010 4.9 4.9 5.4 5.5 5.4 5.2 6.0 7.4 6.9 6.6 7.2 7.5 7.6 7.3 8.1 7.8 7.4 7.6 6.9 6.5 6.8 6.5 5.7 6.5 5.5 5.6 5.5 5.9 4.3 3.3 1.4 -0.5 -2.0 -0.9 0.6 4.1 1.3 0.3 0.1 -2.9 -4.2 18.1 13.4 20112011 4.8 4.7 5.2 5.4 5.2 5.0 5.8 7.2 6.7 6.3 7.0 7.3 7.4 7.0 7.8 7.5 7.1 7.3 6.6 6.2 6.4 6.2 5.4 6.1 5.2 5.2 5.1 5.5 3.9 3.0 1.2 -0.5 -1.9 -0.9 0.4 3.6 1.0 0.2 0.0 -2.5 -3.4 11.4 6.0 -0.8 20122012 5.0 4.9 5.4 5.6 5.5 5.2 6.0 7.4 6.9 6.6 7.2 7.5 7.6 7.3 8.0 7.7 7.3 7.5 6.9 6.5 6.7 6.5 5.7 6.5 5.6 5.6 5.6 6.0 4.5 3.7 2.0 0.5 -0.7 0.3 1.6 4.6 2.4 1.8 1.9 0.1 -0.1 12.1 8.6 6.3 14.0

1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

19681968 -4.8 19691969 -7.7 -10.5 19701970 -3.3 -2.5 6.3 19711971 -0.2 1.4 7.9 9.6 19721972 0.3 1.6 6.0 5.8 2.2 19731973 -1.3 -0.7 2.0 0.6 -3.6 -9.1 19741974 -2.2 -1.7 0.1 -1.4 -4.8 -8.0 -7.0 19751975 -1.7 -1.2 0.4 -0.7 -3.1 -4.8 -2.6 2.0 19761976 -0.3 0.3 1.9 1.2 -0.4 -1.0 1.9 6.6 11.4 19771977 -1.0 -0.5 0.8 0.0 -1.5 -2.2 -0.4 1.9 1.8 -6.9 19781978 -1.8 -1.5 -0.4 -1.2 -2.7 -3.4 -2.3 -1.1 -2.1 -8.2 -9.4 19791979 -2.7 -2.6 -1.7 -2.6 -4.0 -4.8 -4.1 -3.5 -4.9 -9.7 -11.1 -12.8 19801980 -3.7 -3.6 -3.0 -3.8 -5.2 -6.1 -5.7 -5.5 -6.9 -11.0 -12.3 -13.7 -14.6 19811981 -3.9 -3.8 -3.3 -4.1 -5.4 -6.2 -5.8 -5.6 -6.8 -10.1 -10.9 -11.4 -10.6 -6.5 19821982 -1.7 -1.5 -0.7 -1.3 -2.2 -2.7 -1.9 -1.3 -1.7 -3.8 -3.1 -1.5 2.6 12.4 35.1 19831983 -1.8 -1.6 -0.9 -1.4 -2.3 -2.7 -2.0 -1.5 -1.9 -3.7 -3.1 -1.8 1.2 7.0 14.5 -3.0 19841984 -1.1 -0.8 -0.1 -0.6 -1.3 -1.6 -0.9 -0.3 -0.5 -1.9 -1.2 0.2 3.1 8.0 13.3 3.8 11.1 19851985 0.3 0.6 1.3 1.0 0.4 0.3 1.1 1.9 1.9 0.9 1.9 3.6 6.6 11.4 16.4 10.8 18.4 26.2 19861986 1.4 1.7 2.5 2.3 1.8 1.8 2.6 3.5 3.6 2.9 4.0 5.8 8.8 13.3 17.7 13.7 19.9 24.6 23.0 19871987 0.9 1.2 1.9 1.7 1.2 1.2 1.9 2.7 2.7 2.0 2.9 4.4 6.7 10.2 13.2 9.3 12.6 13.1 7.1 -6.8 19881988 1.1 1.4 2.1 1.9 1.4 1.4 2.1 2.8 2.9 2.2 3.1 4.4 6.5 9.5 12.0 8.6 11.0 11.0 6.4 -1.1 5.0 19891989 1.6 2.0 2.6 2.4 2.0 2.0 2.8 3.5 3.6 3.0 3.9 5.2 7.2 9.9 12.1 9.2 11.3 11.4 8.0 3.4 8.9 12.9 19901990 1.6 1.9 2.5 2.3 1.9 1.9 2.6 3.3 3.3 2.8 3.6 4.7 6.5 8.9 10.7 8.0 9.7 9.4 6.4 2.5 5.9 6.3 0.1 19911991 2.1 2.4 3.1 2.9 2.6 2.6 3.3 3.9 4.1 3.6 4.4 5.5 7.2 9.5 11.2 8.8 10.4 10.3 7.9 5.1 8.2 9.3 7.6 15.7 19921992 2.3 2.6 3.2 3.1 2.8 2.8 3.5 4.1 4.2 3.8 4.5 5.6 7.1 9.2 10.7 8.6 9.9 9.8 7.6 5.2 7.8 8.5 7.1 10.9 6.2 19931993 2.7 3.1 3.7 3.6 3.3 3.3 4.0 4.6 4.8 4.4 5.1 6.2 7.7 9.6 11.1 9.1 10.4 10.4 8.5 6.6 9.0 9.8 9.1 12.2 10.5 15.1 19941994 2.2 2.5 3.1 2.9 2.7 2.7 3.3 3.8 3.9 3.5 4.2 5.1 6.4 8.1 9.3 7.4 8.4 8.1 6.3 4.3 6.0 6.2 4.9 6.2 3.2 1.7 -10.2 19951995 3.1 3.4 3.9 3.9 3.6 3.7 4.3 4.9 5.0 4.7 5.4 6.3 7.7 9.3 10.5 8.9 9.9 9.8 8.3 6.8 8.6 9.1 8.5 10.2 8.9 9.8 7.3 28.2 19961996 2.8 3.1 3.6 3.5 3.3 3.3 3.9 4.5 4.6 4.2 4.9 5.7 6.9 8.4 9.5 7.9 8.8 8.6 7.1 5.6 7.1 7.4 6.6 7.7 6.2 6.2 3.4 10.9 -4.1 19971997 3.2 3.4 4.0 3.9 3.7 3.8 4.3 4.8 5.0 4.7 5.3 6.1 7.3 8.7 9.8 8.3 9.1 9.0 7.6 6.3 7.8 8.1 7.5 8.6 7.4 7.7 5.9 11.9 4.5 13.9 19981998 3.4 3.7 4.2 4.2 4.0 4.0 4.6 5.1 5.2 5.0 5.6 6.4 7.5 8.9 9.9 8.5 9.3 9.1 7.9 6.7 8.1 8.4 7.9 8.9 8.0 8.3 7.0 11.7 6.7 12.6 11.3 19991999 2.9 3.2 3.7 3.6 3.4 3.4 3.9 4.4 4.5 4.2 4.7 5.5 6.5 7.7 8.6 7.2 7.8 7.6 6.4 5.2 6.3 6.4 5.8 6.5 5.3 5.2 3.7 6.7 1.9 4.0 -0.7 -11.4 20002000 3.3 3.6 4.1 4.0 3.8 3.9 4.4 4.9 5.0 4.7 5.3 6.0 7.0 8.2 9.0 7.7 8.4 8.2 7.1 6.1 7.1 7.3 6.8 7.5 6.6 6.7 5.5 8.4 4.8 7.2 5.0 2.1 17.5 20012001 3.3 3.6 4.0 4.0 3.8 3.8 4.3 4.8 4.9 4.6 5.1 5.8 6.7 7.9 8.7 7.4 8.0 7.9 6.8 5.8 6.8 6.9 6.4 7.0 6.2 6.2 5.1 7.5 4.4 6.2 4.3 2.1 9.5 2.1 20022002 3.6 3.9 4.3 4.3 4.1 4.2 4.7 5.1 5.2 5.0 5.5 6.2 7.1 8.2 9.0 7.8 8.4 8.2 7.3 6.4 7.3 7.5 7.1 7.7 7.0 7.0 6.2 8.4 5.8 7.6 6.4 5.2 11.4 8.4 15.1 20032003 3.5 3.7 4.2 4.1 4.0 4.0 4.5 4.9 5.0 4.8 5.3 5.9 6.8 7.8 8.5 7.4 7.9 7.8 6.8 5.9 6.8 6.9 6.5 7.0 6.3 6.3 5.5 7.4 5.0 6.4 5.2 4.0 8.3 5.4 7.0 -0.4 20042004 3.5 3.8 4.2 4.2 4.0 4.1 4.5 4.9 5.0 4.8 5.3 5.9 6.7 7.7 8.4 7.3 7.8 7.6 6.7 5.9 6.7 6.8 6.4 6.9 6.2 6.2 5.5 7.2 5.0 6.2 5.2 4.2 7.6 5.3 6.4 2.3 5.1 20052005 3.6 3.8 4.2 4.2 4.0 4.1 4.5 4.9 5.0 4.8 5.2 5.8 6.6 7.6 8.2 7.1 7.6 7.5 6.6 5.8 6.6 6.6 6.3 6.7 6.1 6.1 5.4 6.9 5.0 6.0 5.1 4.2 7.1 5.1 5.8 2.9 4.7 4.2 20062006 3.4 3.7 4.1 4.0 3.9 3.9 4.3 4.7 4.8 4.6 5.0 5.6 6.3 7.2 7.8 6.8 7.2 7.1 6.2 5.4 6.1 6.2 5.8 6.2 5.6 5.5 4.8 6.2 4.4 5.3 4.3 3.5 5.8 4.0 4.4 1.9 2.6 1.4 -1.3 20072007 3.5 3.7 4.1 4.1 3.9 4.0 4.4 4.7 4.8 4.6 5.0 5.6 6.3 7.1 7.7 6.7 7.2 7.0 6.2 5.4 6.1 6.2 5.8 6.1 5.6 5.5 4.9 6.1 4.5 5.3 4.5 3.7 5.8 4.2 4.6 2.6 3.4 2.8 2.1 5.6 20082008 4.0 4.2 4.6 4.6 4.4 4.5 4.9 5.3 5.4 5.2 5.6 6.2 6.9 7.8 8.3 7.4 7.8 7.7 7.0 6.3 7.0 7.1 6.8 7.1 6.7 6.7 6.2 7.4 6.0 6.9 6.2 5.7 7.8 6.7 7.4 6.1 7.5 8.1 9.4 15.2 25.7 20092009 3.4 3.6 4.0 4.0 3.8 3.9 4.2 4.6 4.7 4.5 4.8 5.3 6.0 6.8 7.3 6.4 6.8 6.6 5.8 5.1 5.7 5.8 5.4 5.7 5.2 5.1 4.5 5.6 4.1 4.8 4.1 3.4 5.0 3.7 3.9 2.4 2.9 2.5 2.1 3.2 2.0 -17.2 20102010 3.5 3.7 4.1 4.1 3.9 4.0 4.3 4.7 4.8 4.6 4.9 5.4 6.1 6.8 7.3 6.5 6.8 6.7 5.9 5.3 5.8 5.9 5.6 5.8 5.3 5.3 4.8 5.8 4.4 5.0 4.4 3.8 5.3 4.2 4.4 3.2 3.7 3.5 3.3 4.5 4.2 -5.2 8.5 20112011 4.0 4.2 4.6 4.5 4.4 4.5 4.8 5.2 5.3 5.1 5.5 6.0 6.6 7.4 7.9 7.0 7.4 7.3 6.6 6.0 6.6 6.6 6.4 6.7 6.2 6.2 5.8 6.8 5.6 6.2 5.7 5.3 6.8 5.9 6.3 5.4 6.1 6.2 6.6 8.2 8.9 3.8 16.3 24.5 20122012 3.9 4.1 4.5 4.4 4.3 4.4 4.7 5.1 5.2 5.0 5.4 5.8 6.4 7.2 7.7 6.8 7.2 7.1 6.4 5.8 6.4 6.4 6.1 6.4 6.0 6.0 5.5 6.5 5.3 5.9 5.4 5.0 6.4 5.5 5.8 5.0 5.6 5.6 5.8 7.1 7.4 3.3 11.1 12.5 1.5

1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

Page 29: Dfa matrix book us_2013 - copy

DIMENSIONAL FUND ADVISORS MATRIX BOOK 201354 55

Data provided by ibbotson associates.

ONE-mONTH US TREASURy BILLS

1926–2012: Real Returns (%), Inflation-Adjusted

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

$1.59

20121926

19261926 4.8 19271927 5.1 5.3 19281928 4.8 4.8 4.2 19291929 4.7 4.7 4.4 4.5 19301930 5.6 5.8 5.9 6.7 9.0 19311931 6.6 6.9 7.3 8.4 10.3 11.7 19321932 7.4 7.8 8.3 9.4 11.1 12.1 12.5 19331933 6.4 6.6 6.9 7.4 8.1 7.9 6.0 -0.2 19341934 5.5 5.6 5.6 5.8 6.1 5.4 3.3 -1.0 -1.8 19351935 4.6 4.6 4.5 4.5 4.5 3.7 1.8 -1.6 -2.3 -2.8 19361936 4.1 4.0 3.9 3.8 3.7 2.9 1.2 -1.5 -1.9 -1.9 -1.0 19371937 3.5 3.4 3.2 3.1 2.9 2.1 0.5 -1.7 -2.1 -2.2 -1.9 -2.7 19381938 3.5 3.3 3.2 3.1 2.9 2.2 0.9 -1.0 -1.1 -0.9 -0.3 0.0 2.8 19391939 3.2 3.1 2.9 2.8 2.7 2.0 0.8 -0.8 -0.9 -0.7 -0.1 0.2 1.6 0.5 19401940 3.0 2.8 2.6 2.5 2.3 1.7 0.6 -0.8 -0.9 -0.7 -0.3 -0.1 0.8 -0.2 -1.0 19411941 2.2 2.0 1.8 1.6 1.3 0.7 -0.4 -1.7 -1.9 -1.9 -1.8 -1.9 -1.7 -3.2 -5.0 -8.8 19421942 1.5 1.3 1.1 0.8 0.6 -0.1 -1.1 -2.4 -2.6 -2.7 -2.7 -3.0 -3.1 -4.5 -6.1 -8.5 -8.2 19431943 1.3 1.1 0.8 0.6 0.3 -0.3 -1.3 -2.4 -2.6 -2.7 -2.7 -3.0 -3.0 -4.1 -5.3 -6.6 -5.5 -2.7 19441944 1.1 0.9 0.7 0.5 0.2 -0.4 -1.3 -2.4 -2.6 -2.6 -2.6 -2.8 -2.8 -3.7 -4.6 -5.4 -4.3 -2.2 -1.7 19451945 1.0 0.8 0.5 0.3 0.1 -0.5 -1.3 -2.3 -2.5 -2.6 -2.5 -2.7 -2.7 -3.5 -4.1 -4.7 -3.7 -2.1 -1.8 -1.9 19461946 0.1 -0.1 -0.4 -0.6 -0.9 -1.5 -2.3 -3.3 -3.5 -3.7 -3.8 -4.0 -4.2 -5.0 -5.8 -6.5 -6.1 -5.5 -6.4 -8.7 -15.1 19471947 -0.2 -0.5 -0.7 -1.0 -1.3 -1.9 -2.7 -3.6 -3.8 -4.0 -4.1 -4.4 -4.5 -5.3 -6.0 -6.7 -6.4 -6.0 -6.8 -8.4 -11.5 -7.8 19481948 -0.3 -0.5 -0.8 -1.0 -1.3 -1.9 -2.6 -3.5 -3.7 -3.8 -3.9 -4.2 -4.3 -5.0 -5.6 -6.1 -5.7 -5.3 -5.8 -6.8 -8.4 -4.9 -1.8 19491949 -0.2 -0.4 -0.6 -0.9 -1.1 -1.6 -2.3 -3.1 -3.3 -3.4 -3.4 -3.6 -3.7 -4.3 -4.7 -5.2 -4.7 -4.2 -4.4 -4.9 -5.7 -2.3 0.5 3.0 19501950 -0.3 -0.5 -0.8 -1.0 -1.3 -1.8 -2.4 -3.2 -3.4 -3.5 -3.5 -3.7 -3.8 -4.3 -4.7 -5.1 -4.7 -4.2 -4.4 -4.8 -5.4 -2.8 -1.1 -0.7 -4.3 19511951 -0.5 -0.7 -0.9 -1.2 -1.4 -1.9 -2.5 -3.2 -3.4 -3.5 -3.5 -3.7 -3.8 -4.3 -4.7 -5.0 -4.6 -4.2 -4.4 -4.7 -5.2 -3.1 -1.9 -1.9 -4.2 -4.1 19521952 -0.4 -0.6 -0.9 -1.1 -1.3 -1.8 -2.4 -3.0 -3.2 -3.3 -3.3 -3.4 -3.5 -3.9 -4.3 -4.5 -4.1 -3.7 -3.8 -4.1 -4.4 -2.5 -1.4 -1.2 -2.6 -1.7 0.8 19531953 -0.4 -0.6 -0.8 -1.0 -1.2 -1.6 -2.2 -2.9 -3.0 -3.0 -3.1 -3.2 -3.2 -3.6 -3.9 -4.1 -3.7 -3.3 -3.3 -3.5 -3.7 -1.9 -0.9 -0.8 -1.7 -0.8 1.0 1.2 19541954 -0.3 -0.5 -0.7 -0.9 -1.1 -1.5 -2.0 -2.7 -2.8 -2.8 -2.8 -2.9 -2.9 -3.3 -3.5 -3.7 -3.3 -2.9 -2.9 -3.0 -3.1 -1.5 -0.6 -0.4 -1.1 -0.2 1.1 1.3 1.4 19551955 -0.3 -0.4 -0.6 -0.8 -1.0 -1.4 -1.9 -2.5 -2.6 -2.6 -2.6 -2.7 -2.7 -3.0 -3.2 -3.4 -3.0 -2.6 -2.6 -2.6 -2.7 -1.2 -0.4 -0.2 -0.7 0.1 1.1 1.3 1.3 1.2 19561956 -0.3 -0.4 -0.6 -0.8 -1.0 -1.4 -1.9 -2.4 -2.5 -2.5 -2.5 -2.6 -2.6 -2.9 -3.1 -3.2 -2.8 -2.4 -2.4 -2.5 -2.5 -1.2 -0.4 -0.2 -0.6 0.0 0.8 0.8 0.7 0.4 -0.4 19571957 -0.3 -0.4 -0.6 -0.8 -1.0 -1.3 -1.8 -2.3 -2.4 -2.4 -2.4 -2.5 -2.5 -2.7 -2.9 -3.0 -2.6 -2.3 -2.2 -2.3 -2.3 -1.0 -0.3 -0.2 -0.5 0.0 0.7 0.7 0.6 0.3 -0.1 0.1 19581958 -0.3 -0.4 -0.6 -0.8 -0.9 -1.3 -1.7 -2.2 -2.3 -2.3 -2.3 -2.4 -2.4 -2.6 -2.8 -2.9 -2.5 -2.1 -2.1 -2.1 -2.1 -1.0 -0.3 -0.2 -0.5 0.0 0.6 0.5 0.4 0.2 -0.2 -0.1 -0.2 19591959 -0.2 -0.4 -0.5 -0.7 -0.9 -1.2 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0.7 0.8 1.0 1.0 1.0 1.0 0.9 1.0 1.0 1.1 1.1 1.1 1.0 1.0 1.0 0.9 0.9 0.91986 0.4 0.3 0.3 0.2 0.1 0.0 -0.2 -0.5 -0.5 -0.4 -0.4 -0.4 -0.3 -0.4 -0.4 -0.4 -0.2 0.0 0.0 0.1 0.1 0.5 0.8 0.8 0.8 0.9 1.1 1.1 1.1 1.1 1.1 1.1 1.2 1.2 1.2 1.2 1.2 1.2 1.2 1.1 1.1 1.11987 0.4 0.3 0.3 0.2 0.1 0.0 -0.2 -0.4 -0.4 -0.4 -0.4 -0.4 -0.3 -0.4 -0.4 -0.4 -0.2 0.0 0.1 0.1 0.2 0.6 0.8 0.8 0.8 0.9 1.1 1.1 1.1 1.1 1.1 1.1 1.2 1.2 1.2 1.2 1.2 1.2 1.2 1.1 1.1 1.11988 0.4 0.4 0.3 0.2 0.2 0.0 -0.2 -0.4 -0.4 -0.4 -0.3 -0.3 -0.3 -0.3 -0.3 -0.3 -0.1 0.0 0.1 0.1 0.2 0.6 0.8 0.9 0.8 1.0 1.1 1.1 1.1 1.1 1.1 1.1 1.2 1.2 1.2 1.2 1.2 1.2 1.2 1.1 1.1 1.11989 0.5 0.4 0.3 0.3 0.2 0.1 -0.1 -0.3 -0.3 -0.3 -0.3 -0.2 -0.2 -0.3 -0.3 -0.3 -0.1 0.1 0.2 0.2 0.3 0.7 0.9 0.9 0.9 1.0 1.2 1.2 1.2 1.2 1.2 1.2 1.2 1.3 1.3 1.3 1.3 1.3 1.3 1.2 1.2 1.21990 0.5 0.4 0.4 0.3 0.2 0.1 -0.1 -0.3 -0.3 -0.3 -0.2 -0.2 -0.2 -0.2 -0.2 -0.2 0.0 0.1 0.2 0.3 0.3 0.7 0.9 1.0 0.9 1.0 1.2 1.2 1.2 1.2 1.2 1.2 1.3 1.3 1.3 1.3 1.3 1.3 1.3 1.3 1.2 1.21991 0.5 0.5 0.4 0.3 0.3 0.1 0.0 -0.2 -0.2 -0.2 -0.2 -0.2 -0.1 -0.2 -0.2 -0.2 0.0 0.2 0.3 0.3 0.3 0.7 0.9 1.0 0.9 1.1 1.2 1.2 1.2 1.2 1.2 1.3 1.3 1.3 1.3 1.3 1.3 1.3 1.3 1.3 1.3 1.31992 0.5 0.5 0.4 0.3 0.3 0.1 0.0 -0.2 -0.2 -0.2 -0.2 -0.1 -0.1 -0.2 -0.2 -0.2 0.0 0.2 0.3 0.3 0.3 0.7 0.9 1.0 0.9 1.1 1.2 1.2 1.2 1.2 1.2 1.2 1.3 1.3 1.3 1.3 1.3 1.3 1.3 1.3 1.2 1.21993 0.5 0.5 0.4 0.3 0.3 0.1 0.0 -0.2 -0.2 -0.2 -0.2 -0.1 -0.1 -0.1 -0.2 -0.1 0.0 0.2 0.3 0.3 0.3 0.7 0.9 1.0 0.9 1.0 1.2 1.2 1.2 1.2 1.2 1.2 1.2 1.3 1.3 1.3 1.3 1.3 1.3 1.2 1.2 1.21994 0.5 0.5 0.4 0.4 0.3 0.2 0.0 -0.2 -0.2 -0.2 -0.1 -0.1 -0.1 -0.1 -0.1 -0.1 0.1 0.2 0.3 0.3 0.4 0.7 0.9 1.0 0.9 1.0 1.2 1.2 1.2 1.2 1.2 1.2 1.2 1.3 1.3 1.3 1.3 1.3 1.3 1.2 1.2 1.21995 0.6 0.5 0.4 0.4 0.3 0.2 0.0 -0.2 -0.2 -0.1 -0.1 -0.1 0.0 -0.1 -0.1 -0.1 0.1 0.3 0.3 0.4 0.4 0.8 0.9 1.0 1.0 1.1 1.2 1.2 1.2 1.2 1.2 1.3 1.3 1.3 1.3 1.3 1.3 1.3 1.3 1.3 1.3 1.31996 0.6 0.5 0.5 0.4 0.3 0.2 0.1 -0.1 -0.1 -0.1 -0.1 0.0 0.0 0.0 -0.1 0.0 0.1 0.3 0.4 0.4 0.4 0.8 1.0 1.0 1.0 1.1 1.2 1.2 1.2 1.2 1.2 1.3 1.3 1.3 1.3 1.3 1.3 1.3 1.3 1.3 1.3 1.31997 0.6 0.6 0.5 0.5 0.4 0.3 0.1 -0.1 -0.1 0.0 0.0 0.0 0.1 0.0 0.0 0.0 0.2 0.4 0.4 0.5 0.5 0.8 1.0 1.1 1.0 1.1 1.3 1.3 1.3 1.3 1.3 1.3 1.3 1.4 1.4 1.4 1.4 1.4 1.4 1.4 1.3 1.31998 0.7 0.6 0.5 0.5 0.4 0.3 0.2 0.0 0.0 0.0 0.1 0.1 0.1 0.1 0.1 0.1 0.2 0.4 0.5 0.5 0.5 0.9 1.1 1.1 1.1 1.2 1.3 1.3 1.3 1.3 1.3 1.4 1.4 1.4 1.4 1.4 1.4 1.4 1.4 1.4 1.4 1.41999 0.7 0.6 0.6 0.5 0.5 0.3 0.2 0.0 0.0 0.0 0.1 0.1 0.1 0.1 0.1 0.1 0.3 0.4 0.5 0.5 0.6 0.9 1.1 1.1 1.1 1.2 1.3 1.3 1.3 1.3 1.3 1.4 1.4 1.4 1.4 1.5 1.5 1.5 1.5 1.4 1.4 1.42000 0.7 0.6 0.6 0.5 0.5 0.4 0.2 0.0 0.0 0.1 0.1 0.1 0.2 0.1 0.1 0.1 0.3 0.5 0.5 0.6 0.6 0.9 1.1 1.2 1.1 1.2 1.3 1.4 1.4 1.4 1.4 1.4 1.4 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.4 1.42001 0.7 0.7 0.6 0.6 0.5 0.4 0.2 0.1 0.1 0.1 0.1 0.2 0.2 0.2 0.2 0.2 0.3 0.5 0.6 0.6 0.6 0.9 1.1 1.2 1.1 1.2 1.4 1.4 1.4 1.4 1.4 1.4 1.4 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.52002 0.7 0.7 0.6 0.5 0.5 0.4 0.2 0.1 0.1 0.1 0.1 0.2 0.2 0.2 0.2 0.2 0.3 0.5 0.5 0.6 0.6 0.9 1.1 1.1 1.1 1.2 1.3 1.3 1.3 1.3 1.3 1.4 1.4 1.4 1.4 1.4 1.4 1.4 1.4 1.4 1.4 1.42003 0.7 0.6 0.6 0.5 0.5 0.4 0.2 0.0 0.1 0.1 0.1 0.1 0.2 0.1 0.1 0.2 0.3 0.5 0.5 0.5 0.6 0.9 1.0 1.1 1.1 1.2 1.3 1.3 1.3 1.3 1.3 1.3 1.4 1.4 1.4 1.4 1.4 1.4 1.4 1.4 1.3 1.32004 0.7 0.6 0.5 0.5 0.4 0.3 0.2 0.0 0.0 0.0 0.1 0.1 0.1 0.1 0.1 0.1 0.3 0.4 0.5 0.5 0.5 0.8 1.0 1.0 1.0 1.1 1.2 1.2 1.2 1.2 1.2 1.3 1.3 1.3 1.3 1.3 1.3 1.3 1.3 1.3 1.3 1.32005 0.6 0.6 0.5 0.5 0.4 0.3 0.2 0.0 0.0 0.0 0.1 0.1 0.1 0.1 0.1 0.1 0.3 0.4 0.4 0.5 0.5 0.8 1.0 1.0 1.0 1.1 1.2 1.2 1.2 1.2 1.2 1.2 1.2 1.3 1.3 1.3 1.3 1.3 1.3 1.2 1.2 1.22006 0.7 0.6 0.5 0.5 0.4 0.3 0.2 0.0 0.0 0.1 0.1 0.1 0.2 0.1 0.1 0.1 0.3 0.4 0.5 0.5 0.6 0.8 1.0 1.0 1.0 1.1 1.2 1.2 1.2 1.2 1.2 1.2 1.3 1.3 1.3 1.3 1.3 1.3 1.3 1.3 1.2 1.22007 0.7 0.6 0.5 0.5 0.5 0.3 0.2 0.0 0.1 0.1 0.1 0.1 0.2 0.1 0.1 0.1 0.3 0.4 0.5 0.5 0.6 0.8 1.0 1.0 1.0 1.1 1.2 1.2 1.2 1.2 1.2 1.2 1.2 1.3 1.3 1.3 1.3 1.3 1.3 1.2 1.2 1.22008 0.7 0.6 0.6 0.5 0.5 0.4 0.2 0.1 0.1 0.1 0.1 0.2 0.2 0.2 0.2 0.2 0.3 0.4 0.5 0.5 0.6 0.8 1.0 1.0 1.0 1.1 1.2 1.2 1.2 1.2 1.2 1.2 1.3 1.3 1.3 1.3 1.3 1.3 1.3 1.2 1.2 1.22009 0.6 0.6 0.5 0.5 0.4 0.3 0.2 0.0 0.0 0.1 0.1 0.1 0.2 0.1 0.1 0.1 0.3 0.4 0.4 0.5 0.5 0.8 0.9 1.0 0.9 1.0 1.1 1.1 1.1 1.1 1.1 1.2 1.2 1.2 1.2 1.2 1.2 1.2 1.2 1.2 1.1 1.12010 0.6 0.6 0.5 0.5 0.4 0.3 0.2 0.0 0.0 0.0 0.1 0.1 0.1 0.1 0.1 0.1 0.2 0.4 0.4 0.5 0.5 0.8 0.9 0.9 0.9 1.0 1.1 1.1 1.1 1.1 1.1 1.1 1.1 1.2 1.2 1.2 1.1 1.1 1.1 1.1 1.1 1.12011 0.6 0.5 0.5 0.4 0.4 0.3 0.1 0.0 0.0 0.0 0.0 0.1 0.1 0.1 0.1 0.1 0.2 0.3 0.4 0.4 0.4 0.7 0.8 0.9 0.8 0.9 1.0 1.0 1.0 1.0 1.0 1.0 1.1 1.1 1.1 1.1 1.1 1.1 1.0 1.0 1.0 1.02012 0.5 0.5 0.4 0.4 0.3 0.2 0.1 0.0 0.0 0.0 0.0 0.0 0.1 0.0 0.0 0.0 0.2 0.3 0.3 0.4 0.4 0.7 0.8 0.8 0.8 0.9 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 0.9 0.9

1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967

19681968 -4.8 19691969 -7.7 -10.5 19701970 -3.3 -2.5 6.3 19711971 -0.2 1.4 7.9 9.6 19721972 0.3 1.6 6.0 5.8 2.2 19731973 -1.3 -0.7 2.0 0.6 -3.6 -9.1 19741974 -2.2 -1.7 0.1 -1.4 -4.8 -8.0 -7.0 19751975 -1.7 -1.2 0.4 -0.7 -3.1 -4.8 -2.6 2.0 19761976 -0.3 0.3 1.9 1.2 -0.4 -1.0 1.9 6.6 11.4 19771977 -1.0 -0.5 0.8 0.0 -1.5 -2.2 -0.4 1.9 1.8 -6.9 19781978 -1.8 -1.5 -0.4 -1.2 -2.7 -3.4 -2.3 -1.1 -2.1 -8.2 -9.4 19791979 -2.7 -2.6 -1.7 -2.6 -4.0 -4.8 -4.1 -3.5 -4.9 -9.7 -11.1 -12.8 19801980 -3.7 -3.6 -3.0 -3.8 -5.2 -6.1 -5.7 -5.5 -6.9 -11.0 -12.3 -13.7 -14.6 19811981 -3.9 -3.8 -3.3 -4.1 -5.4 -6.2 -5.8 -5.6 -6.8 -10.1 -10.9 -11.4 -10.6 -6.5 19821982 -1.7 -1.5 -0.7 -1.3 -2.2 -2.7 -1.9 -1.3 -1.7 -3.8 -3.1 -1.5 2.6 12.4 35.1 19831983 -1.8 -1.6 -0.9 -1.4 -2.3 -2.7 -2.0 -1.5 -1.9 -3.7 -3.1 -1.8 1.2 7.0 14.5 -3.0 19841984 -1.1 -0.8 -0.1 -0.6 -1.3 -1.6 -0.9 -0.3 -0.5 -1.9 -1.2 0.2 3.1 8.0 13.3 3.8 11.1 19851985 0.3 0.6 1.3 1.0 0.4 0.3 1.1 1.9 1.9 0.9 1.9 3.6 6.6 11.4 16.4 10.8 18.4 26.2 19861986 1.4 1.7 2.5 2.3 1.8 1.8 2.6 3.5 3.6 2.9 4.0 5.8 8.8 13.3 17.7 13.7 19.9 24.6 23.0 19871987 0.9 1.2 1.9 1.7 1.2 1.2 1.9 2.7 2.7 2.0 2.9 4.4 6.7 10.2 13.2 9.3 12.6 13.1 7.1 -6.8 19881988 1.1 1.4 2.1 1.9 1.4 1.4 2.1 2.8 2.9 2.2 3.1 4.4 6.5 9.5 12.0 8.6 11.0 11.0 6.4 -1.1 5.0 19891989 1.6 2.0 2.6 2.4 2.0 2.0 2.8 3.5 3.6 3.0 3.9 5.2 7.2 9.9 12.1 9.2 11.3 11.4 8.0 3.4 8.9 12.9 19901990 1.6 1.9 2.5 2.3 1.9 1.9 2.6 3.3 3.3 2.8 3.6 4.7 6.5 8.9 10.7 8.0 9.7 9.4 6.4 2.5 5.9 6.3 0.1 19911991 2.1 2.4 3.1 2.9 2.6 2.6 3.3 3.9 4.1 3.6 4.4 5.5 7.2 9.5 11.2 8.8 10.4 10.3 7.9 5.1 8.2 9.3 7.6 15.7 19921992 2.3 2.6 3.2 3.1 2.8 2.8 3.5 4.1 4.2 3.8 4.5 5.6 7.1 9.2 10.7 8.6 9.9 9.8 7.6 5.2 7.8 8.5 7.1 10.9 6.2 19931993 2.7 3.1 3.7 3.6 3.3 3.3 4.0 4.6 4.8 4.4 5.1 6.2 7.7 9.6 11.1 9.1 10.4 10.4 8.5 6.6 9.0 9.8 9.1 12.2 10.5 15.1 19941994 2.2 2.5 3.1 2.9 2.7 2.7 3.3 3.8 3.9 3.5 4.2 5.1 6.4 8.1 9.3 7.4 8.4 8.1 6.3 4.3 6.0 6.2 4.9 6.2 3.2 1.7 -10.2 19951995 3.1 3.4 3.9 3.9 3.6 3.7 4.3 4.9 5.0 4.7 5.4 6.3 7.7 9.3 10.5 8.9 9.9 9.8 8.3 6.8 8.6 9.1 8.5 10.2 8.9 9.8 7.3 28.2 19961996 2.8 3.1 3.6 3.5 3.3 3.3 3.9 4.5 4.6 4.2 4.9 5.7 6.9 8.4 9.5 7.9 8.8 8.6 7.1 5.6 7.1 7.4 6.6 7.7 6.2 6.2 3.4 10.9 -4.1 19971997 3.2 3.4 4.0 3.9 3.7 3.8 4.3 4.8 5.0 4.7 5.3 6.1 7.3 8.7 9.8 8.3 9.1 9.0 7.6 6.3 7.8 8.1 7.5 8.6 7.4 7.7 5.9 11.9 4.5 13.9 19981998 3.4 3.7 4.2 4.2 4.0 4.0 4.6 5.1 5.2 5.0 5.6 6.4 7.5 8.9 9.9 8.5 9.3 9.1 7.9 6.7 8.1 8.4 7.9 8.9 8.0 8.3 7.0 11.7 6.7 12.6 11.3 19991999 2.9 3.2 3.7 3.6 3.4 3.4 3.9 4.4 4.5 4.2 4.7 5.5 6.5 7.7 8.6 7.2 7.8 7.6 6.4 5.2 6.3 6.4 5.8 6.5 5.3 5.2 3.7 6.7 1.9 4.0 -0.7 -11.4 20002000 3.3 3.6 4.1 4.0 3.8 3.9 4.4 4.9 5.0 4.7 5.3 6.0 7.0 8.2 9.0 7.7 8.4 8.2 7.1 6.1 7.1 7.3 6.8 7.5 6.6 6.7 5.5 8.4 4.8 7.2 5.0 2.1 17.5 20012001 3.3 3.6 4.0 4.0 3.8 3.8 4.3 4.8 4.9 4.6 5.1 5.8 6.7 7.9 8.7 7.4 8.0 7.9 6.8 5.8 6.8 6.9 6.4 7.0 6.2 6.2 5.1 7.5 4.4 6.2 4.3 2.1 9.5 2.1 20022002 3.6 3.9 4.3 4.3 4.1 4.2 4.7 5.1 5.2 5.0 5.5 6.2 7.1 8.2 9.0 7.8 8.4 8.2 7.3 6.4 7.3 7.5 7.1 7.7 7.0 7.0 6.2 8.4 5.8 7.6 6.4 5.2 11.4 8.4 15.1 20032003 3.5 3.7 4.2 4.1 4.0 4.0 4.5 4.9 5.0 4.8 5.3 5.9 6.8 7.8 8.5 7.4 7.9 7.8 6.8 5.9 6.8 6.9 6.5 7.0 6.3 6.3 5.5 7.4 5.0 6.4 5.2 4.0 8.3 5.4 7.0 -0.4 20042004 3.5 3.8 4.2 4.2 4.0 4.1 4.5 4.9 5.0 4.8 5.3 5.9 6.7 7.7 8.4 7.3 7.8 7.6 6.7 5.9 6.7 6.8 6.4 6.9 6.2 6.2 5.5 7.2 5.0 6.2 5.2 4.2 7.6 5.3 6.4 2.3 5.1 20052005 3.6 3.8 4.2 4.2 4.0 4.1 4.5 4.9 5.0 4.8 5.2 5.8 6.6 7.6 8.2 7.1 7.6 7.5 6.6 5.8 6.6 6.6 6.3 6.7 6.1 6.1 5.4 6.9 5.0 6.0 5.1 4.2 7.1 5.1 5.8 2.9 4.7 4.2 20062006 3.4 3.7 4.1 4.0 3.9 3.9 4.3 4.7 4.8 4.6 5.0 5.6 6.3 7.2 7.8 6.8 7.2 7.1 6.2 5.4 6.1 6.2 5.8 6.2 5.6 5.5 4.8 6.2 4.4 5.3 4.3 3.5 5.8 4.0 4.4 1.9 2.6 1.4 -1.3 20072007 3.5 3.7 4.1 4.1 3.9 4.0 4.4 4.7 4.8 4.6 5.0 5.6 6.3 7.1 7.7 6.7 7.2 7.0 6.2 5.4 6.1 6.2 5.8 6.1 5.6 5.5 4.9 6.1 4.5 5.3 4.5 3.7 5.8 4.2 4.6 2.6 3.4 2.8 2.1 5.6 20082008 4.0 4.2 4.6 4.6 4.4 4.5 4.9 5.3 5.4 5.2 5.6 6.2 6.9 7.8 8.3 7.4 7.8 7.7 7.0 6.3 7.0 7.1 6.8 7.1 6.7 6.7 6.2 7.4 6.0 6.9 6.2 5.7 7.8 6.7 7.4 6.1 7.5 8.1 9.4 15.2 25.7 20092009 3.4 3.6 4.0 4.0 3.8 3.9 4.2 4.6 4.7 4.5 4.8 5.3 6.0 6.8 7.3 6.4 6.8 6.6 5.8 5.1 5.7 5.8 5.4 5.7 5.2 5.1 4.5 5.6 4.1 4.8 4.1 3.4 5.0 3.7 3.9 2.4 2.9 2.5 2.1 3.2 2.0 -17.2 20102010 3.5 3.7 4.1 4.1 3.9 4.0 4.3 4.7 4.8 4.6 4.9 5.4 6.1 6.8 7.3 6.5 6.8 6.7 5.9 5.3 5.8 5.9 5.6 5.8 5.3 5.3 4.8 5.8 4.4 5.0 4.4 3.8 5.3 4.2 4.4 3.2 3.7 3.5 3.3 4.5 4.2 -5.2 8.5 20112011 4.0 4.2 4.6 4.5 4.4 4.5 4.8 5.2 5.3 5.1 5.5 6.0 6.6 7.4 7.9 7.0 7.4 7.3 6.6 6.0 6.6 6.6 6.4 6.7 6.2 6.2 5.8 6.8 5.6 6.2 5.7 5.3 6.8 5.9 6.3 5.4 6.1 6.2 6.6 8.2 8.9 3.8 16.3 24.5 20122012 3.9 4.1 4.5 4.4 4.3 4.4 4.7 5.1 5.2 5.0 5.4 5.8 6.4 7.2 7.7 6.8 7.2 7.1 6.4 5.8 6.4 6.4 6.1 6.4 6.0 6.0 5.5 6.5 5.3 5.9 5.4 5.0 6.4 5.5 5.8 5.0 5.6 5.6 5.8 7.1 7.4 3.3 11.1 12.5 1.5

1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

19681968 0.5 19691969 0.5 0.4 19701970 0.6 0.7 1.0 19711971 0.7 0.8 1.0 1.0 19721972 0.7 0.7 0.8 0.7 0.4 19731973 0.3 0.2 0.2 -0.1 -0.7 -1.7 19741974 -0.3 -0.5 -0.6 -1.0 -1.7 -2.7 -3.7 19751975 -0.4 -0.5 -0.7 -1.0 -1.6 -2.2 -2.4 -1.1 19761976 -0.3 -0.4 -0.6 -0.8 -1.2 -1.6 -1.6 -0.4 0.3 19771977 -0.5 -0.6 -0.7 -0.9 -1.3 -1.6 -1.6 -0.8 -0.6 -1.5 19781978 -0.6 -0.7 -0.8 -1.0 -1.3 -1.6 -1.6 -1.0 -1.0 -1.6 -1.7 19791979 -0.7 -0.9 -1.0 -1.2 -1.5 -1.7 -1.7 -1.3 -1.4 -1.9 -2.1 -2.6 19801980 -0.8 -0.9 -1.0 -1.2 -1.4 -1.6 -1.6 -1.3 -1.3 -1.7 -1.8 -1.8 -1.0 19811981 -0.3 -0.4 -0.5 -0.6 -0.8 -0.9 -0.8 -0.4 -0.2 -0.3 0.0 0.5 2.1 5.3 19821982 0.1 0.1 0.0 0.0 -0.1 -0.2 0.0 0.5 0.7 0.8 1.2 2.0 3.5 5.9 6.4 19831983 0.4 0.4 0.4 0.3 0.3 0.3 0.4 0.9 1.2 1.3 1.8 2.5 3.8 5.5 5.6 4.8 19841984 0.7 0.7 0.7 0.7 0.7 0.7 0.9 1.4 1.7 1.8 2.3 3.0 4.2 5.5 5.6 5.2 5.5 19851985 0.8 0.9 0.9 0.9 0.9 0.9 1.1 1.6 1.9 2.1 2.5 3.1 4.1 5.2 5.1 4.7 4.7 3.8 19861986 1.1 1.1 1.1 1.1 1.1 1.2 1.4 1.9 2.2 2.3 2.8 3.4 4.2 5.1 5.1 4.8 4.8 4.4 4.9 19871987 1.1 1.1 1.1 1.1 1.1 1.2 1.4 1.8 2.1 2.2 2.6 3.1 3.8 4.5 4.4 4.0 3.8 3.2 3.0 1.0 19881988 1.1 1.1 1.2 1.2 1.2 1.2 1.4 1.8 2.0 2.2 2.5 3.0 3.6 4.2 4.0 3.6 3.4 2.9 2.6 1.4 1.9 19891989 1.2 1.2 1.3 1.3 1.3 1.4 1.6 1.9 2.1 2.3 2.6 3.0 3.6 4.1 4.0 3.6 3.4 3.0 2.8 2.1 2.7 3.6 19901990 1.2 1.3 1.3 1.3 1.3 1.4 1.6 1.9 2.1 2.2 2.5 2.9 3.4 3.9 3.7 3.4 3.2 2.8 2.6 2.0 2.3 2.6 1.6 19911991 1.3 1.3 1.3 1.4 1.4 1.4 1.6 1.9 2.1 2.3 2.5 2.9 3.3 3.7 3.6 3.3 3.1 2.7 2.6 2.1 2.4 2.5 2.0 2.5 19921992 1.2 1.3 1.3 1.3 1.3 1.4 1.6 1.9 2.0 2.1 2.4 2.7 3.1 3.5 3.3 3.0 2.8 2.5 2.3 1.8 2.0 2.0 1.5 1.5 0.5 19931993 1.2 1.2 1.3 1.3 1.3 1.3 1.5 1.8 1.9 2.0 2.3 2.5 2.9 3.2 3.0 2.7 2.5 2.2 2.0 1.6 1.7 1.6 1.2 1.0 0.3 0.1 19941994 1.2 1.2 1.3 1.3 1.3 1.3 1.5 1.7 1.9 2.0 2.2 2.4 2.8 3.1 2.9 2.6 2.4 2.1 1.9 1.5 1.6 1.6 1.2 1.1 0.6 0.7 1.2 19951995 1.3 1.3 1.3 1.3 1.3 1.4 1.5 1.8 1.9 2.0 2.2 2.5 2.8 3.0 2.9 2.6 2.4 2.2 2.0 1.7 1.8 1.7 1.5 1.4 1.2 1.4 2.0 2.9 19961996 1.3 1.3 1.3 1.4 1.4 1.4 1.5 1.8 1.9 2.0 2.2 2.4 2.7 3.0 2.8 2.6 2.4 2.1 2.0 1.7 1.8 1.8 1.5 1.5 1.3 1.5 2.0 2.3 1.8 19971997 1.4 1.4 1.4 1.4 1.4 1.5 1.6 1.9 2.0 2.1 2.3 2.5 2.8 3.0 2.9 2.6 2.5 2.2 2.1 1.9 1.9 1.9 1.7 1.8 1.7 1.9 2.3 2.7 2.6 3.5 19981998 1.4 1.4 1.5 1.5 1.5 1.6 1.7 1.9 2.1 2.1 2.3 2.5 2.8 3.0 2.9 2.7 2.5 2.3 2.2 2.0 2.1 2.1 1.9 1.9 1.9 2.1 2.5 2.8 2.8 3.3 3.2 19991999 1.4 1.5 1.5 1.5 1.5 1.6 1.7 1.9 2.0 2.1 2.3 2.5 2.8 3.0 2.8 2.6 2.5 2.3 2.2 2.0 2.0 2.1 1.9 1.9 1.9 2.1 2.4 2.7 2.6 2.9 2.6 2.0 20002000 1.5 1.5 1.5 1.5 1.6 1.6 1.7 1.9 2.1 2.1 2.3 2.5 2.7 2.9 2.8 2.6 2.5 2.3 2.2 2.0 2.1 2.1 2.0 2.0 1.9 2.1 2.4 2.6 2.6 2.8 2.5 2.2 2.4 20012001 1.5 1.5 1.5 1.6 1.6 1.6 1.7 2.0 2.1 2.1 2.3 2.5 2.7 2.9 2.8 2.6 2.5 2.3 2.2 2.0 2.1 2.1 2.0 2.0 2.0 2.1 2.4 2.6 2.5 2.7 2.5 2.2 2.3 2.3 20022002 1.4 1.4 1.5 1.5 1.5 1.5 1.7 1.9 2.0 2.0 2.2 2.3 2.6 2.7 2.6 2.4 2.3 2.1 2.0 1.8 1.9 1.9 1.8 1.8 1.7 1.9 2.0 2.1 2.0 2.1 1.8 1.5 1.3 0.7 -0.7 20032003 1.4 1.4 1.4 1.4 1.4 1.5 1.6 1.8 1.9 1.9 2.1 2.2 2.4 2.6 2.4 2.3 2.1 2.0 1.9 1.7 1.7 1.7 1.6 1.6 1.5 1.6 1.8 1.8 1.7 1.7 1.4 1.0 0.8 0.2 -0.8 -0.8 20042004 1.3 1.3 1.3 1.3 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.2 2.4 2.3 2.1 1.9 1.8 1.7 1.5 1.5 1.5 1.3 1.3 1.2 1.3 1.4 1.4 1.3 1.2 0.9 0.5 0.2 -0.3 -1.2 -1.4 -2.0 20052005 1.2 1.2 1.3 1.3 1.3 1.3 1.4 1.6 1.7 1.7 1.8 2.0 2.1 2.3 2.1 2.0 1.8 1.7 1.5 1.4 1.4 1.4 1.2 1.2 1.1 1.2 1.3 1.3 1.1 1.0 0.7 0.4 0.1 -0.4 -1.0 -1.1 -1.2 -0.4 20062006 1.2 1.3 1.3 1.3 1.3 1.3 1.4 1.6 1.7 1.7 1.8 2.0 2.1 2.3 2.1 2.0 1.8 1.7 1.6 1.4 1.4 1.4 1.3 1.3 1.2 1.2 1.3 1.3 1.2 1.1 0.9 0.6 0.4 0.1 -0.4 -0.3 -0.1 0.9 2.2 20072007 1.2 1.2 1.3 1.3 1.3 1.3 1.4 1.6 1.6 1.7 1.8 1.9 2.1 2.2 2.1 1.9 1.8 1.6 1.5 1.4 1.4 1.4 1.2 1.2 1.1 1.2 1.3 1.3 1.1 1.1 0.8 0.6 0.4 0.1 -0.2 -0.1 0.1 0.8 1.4 0.6 20082008 1.2 1.3 1.3 1.3 1.3 1.3 1.4 1.6 1.6 1.7 1.8 1.9 2.1 2.2 2.1 1.9 1.8 1.6 1.5 1.4 1.4 1.4 1.3 1.2 1.2 1.2 1.3 1.3 1.2 1.1 0.9 0.7 0.5 0.3 0.0 0.2 0.4 1.0 1.5 1.1 1.6 20092009 1.1 1.2 1.2 1.2 1.2 1.2 1.3 1.4 1.5 1.6 1.6 1.8 1.9 2.0 1.9 1.7 1.6 1.5 1.4 1.2 1.2 1.2 1.1 1.0 1.0 1.0 1.0 1.0 0.9 0.8 0.6 0.4 0.2 0.0 -0.3 -0.2 -0.1 0.3 0.4 -0.1 -0.5 -2.6 20102010 1.1 1.1 1.1 1.1 1.1 1.1 1.2 1.4 1.4 1.5 1.6 1.7 1.8 1.9 1.8 1.6 1.5 1.3 1.3 1.1 1.1 1.1 1.0 0.9 0.8 0.9 0.9 0.9 0.8 0.7 0.5 0.2 0.1 -0.1 -0.4 -0.4 -0.3 0.0 0.1 -0.5 -0.8 -2.0 -1.4 20112011 1.0 1.0 1.0 1.0 1.0 1.0 1.1 1.2 1.3 1.3 1.4 1.5 1.7 1.7 1.6 1.5 1.3 1.2 1.1 0.9 0.9 0.9 0.8 0.7 0.7 0.7 0.7 0.7 0.5 0.4 0.2 0.0 -0.2 -0.4 -0.7 -0.6 -0.6 -0.4 -0.4 -0.9 -1.3 -2.3 -2.1 -2.8 20122012 0.9 0.9 1.0 1.0 1.0 1.0 1.0 1.2 1.2 1.3 1.3 1.4 1.5 1.6 1.5 1.4 1.2 1.1 1.0 0.8 0.8 0.8 0.7 0.6 0.5 0.5 0.6 0.5 0.4 0.3 0.1 -0.1 -0.3 -0.5 -0.7 -0.7 -0.7 -0.6 -0.6 -1.1 -1.4 -2.1 -2.0 -2.2 -1.7

1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

Page 30: Dfa matrix book us_2013 - copy

DIMENSIONAL FUND ADVISORS MATRIX BOOK 201356 57

Data provided by Dow jones indexes.

DOW jONES US SELECT REIT INDEX

1978–2012: Real Returns (%), Inflation-Adjusted19781978 1.8 19791979 15.7 31.5 19801980 16.6 24.8 18.4 19811981 14.4 19.0 13.2 8.2 19821982 14.8 18.3 14.3 12.2 16.4 19831983 16.8 20.1 17.4 17.1 21.7 27.3 19841984 16.9 19.6 17.4 17.1 20.2 22.1 17.2 19851985 15.0 17.0 14.8 14.0 15.5 15.3 9.7 2.6 19861986 15.4 17.2 15.3 14.8 16.1 16.0 12.5 10.2 18.4 19871987 12.5 13.7 11.7 10.7 11.2 10.2 6.2 2.8 2.9 -10.5 19881988 12.5 13.6 11.8 11.0 11.4 10.5 7.5 5.2 6.0 0.3 12.5 19891989 11.2 12.1 10.3 9.5 9.6 8.7 5.9 3.7 4.0 -0.4 5.1 -1.8 19901990 7.6 8.1 6.1 5.0 4.6 3.3 0.2 -2.4 -3.3 -8.1 -7.3 -15.8 -27.8 19911991 8.4 8.9 7.3 6.3 6.1 5.0 2.5 0.6 0.2 -3.1 -1.1 -5.2 -6.9 20.1 19921992 8.6 9.1 7.6 6.7 6.6 5.7 3.5 1.9 1.8 -0.7 1.4 -1.2 -1.1 15.9 11.7 19931993 8.8 9.3 7.9 7.1 7.0 6.2 4.3 3.0 3.0 1.0 3.1 1.3 2.1 14.6 11.9 12.1 19941994 8.3 8.7 7.4 6.6 6.5 5.7 3.9 2.7 2.7 0.9 2.6 1.1 1.7 10.7 7.8 5.8 0.0 19951995 8.4 8.8 7.5 6.8 6.7 6.0 4.4 3.3 3.3 1.8 3.4 2.2 2.9 10.5 8.2 7.0 4.5 9.3 19961996 9.5 10.0 8.8 8.2 8.2 7.7 6.3 5.4 5.7 4.5 6.3 5.6 6.7 13.9 12.7 12.9 13.2 20.4 32.6 19971997 9.9 10.4 9.3 8.8 8.8 8.3 7.1 6.3 6.7 5.6 7.4 6.9 8.0 14.4 13.5 13.8 14.3 19.5 24.9 17.7 19981998 8.4 8.7 7.6 7.1 7.0 6.4 5.2 4.4 4.5 3.4 4.8 4.0 4.7 9.7 8.3 7.7 6.9 8.6 8.4 -2.0 -18.3 19991999 7.7 8.0 7.0 6.4 6.3 5.7 4.5 3.7 3.8 2.7 3.9 3.2 3.7 7.9 6.5 5.8 4.8 5.7 4.9 -3.0 -12.0 -5.1 20002000 8.5 8.8 7.8 7.3 7.3 6.8 5.7 5.0 5.2 4.3 5.5 4.9 5.6 9.7 8.6 8.2 7.7 9.0 8.9 3.7 -0.6 9.7 26.8 20012001 8.6 8.9 7.9 7.5 7.4 7.0 6.0 5.3 5.5 4.7 5.9 5.4 6.0 9.8 8.8 8.5 8.0 9.2 9.2 5.0 2.1 10.0 18.4 10.6 20022002 8.3 8.5 7.6 7.2 7.1 6.7 5.7 5.1 5.2 4.5 5.5 5.1 5.6 9.0 8.1 7.7 7.2 8.2 8.0 4.4 1.9 7.7 12.4 5.8 1.2 20032003 9.1 9.5 8.6 8.2 8.2 7.8 6.9 6.4 6.6 6.0 7.1 6.8 7.4 10.8 10.0 9.8 9.6 10.8 10.9 8.1 6.6 12.5 17.3 14.4 16.3 33.7 20042004 9.8 10.1 9.4 9.0 9.0 8.7 7.9 7.5 7.7 7.2 8.3 8.0 8.7 12.0 11.4 11.3 11.3 12.5 12.8 10.5 9.6 15.1 19.6 17.9 20.4 31.3 29.0 20052005 9.8 10.1 9.4 9.0 9.1 8.8 8.0 7.6 7.8 7.3 8.4 8.2 8.8 11.8 11.3 11.2 11.2 12.2 12.5 10.5 9.6 14.3 17.9 16.3 17.7 23.8 19.1 10.1 20062006 10.5 10.9 10.2 9.9 9.9 9.7 9.0 8.6 8.9 8.4 9.5 9.4 10.1 13.0 12.6 12.6 12.7 13.8 14.2 12.5 12.0 16.5 19.9 18.8 20.5 25.9 23.5 20.8 32.6 20072007 9.3 9.6 8.9 8.5 8.6 8.3 7.5 7.1 7.3 6.8 7.8 7.5 8.1 10.7 10.1 10.0 9.9 10.7 10.8 9.0 8.2 11.6 13.9 12.1 12.4 14.8 10.5 4.9 2.5 -20.8 20082008 7.3 7.5 6.7 6.3 6.2 5.9 5.1 4.6 4.7 4.1 4.9 4.5 4.9 7.1 6.3 6.0 5.6 6.0 5.8 3.8 2.6 5.0 6.2 3.9 2.9 3.2 -2.0 -8.5 -13.9 -30.6 -39.3 20092009 7.8 8.0 7.3 6.9 6.9 6.5 5.8 5.4 5.5 5.0 5.7 5.4 5.8 7.9 7.3 7.0 6.7 7.2 7.1 5.3 4.3 6.7 7.9 6.0 5.5 6.1 2.1 -2.6 -5.5 -15.6 -12.8 25.1 20102010 8.3 8.5 7.8 7.5 7.5 7.2 6.5 6.1 6.2 5.8 6.5 6.3 6.7 8.8 8.2 8.0 7.8 8.3 8.2 6.7 5.9 8.2 9.5 7.9 7.6 8.4 5.2 1.7 0.1 -6.7 -1.4 25.6 26.2 20112011 8.2 8.4 7.8 7.5 7.4 7.1 6.5 6.1 6.2 5.8 6.5 6.3 6.7 8.7 8.1 7.9 7.7 8.2 8.1 6.6 5.9 8.0 9.2 7.7 7.5 8.2 5.4 2.4 1.1 -4.2 0.5 18.8 15.8 6.2 20122012 8.4 8.6 8.0 7.7 7.7 7.4 6.8 6.4 6.6 6.1 6.9 6.6 7.0 8.9 8.4 8.3 8.1 8.6 8.5 7.2 6.5 8.5 9.7 8.3 8.1 8.9 6.4 3.9 3.0 -1.2 3.2 17.9 15.6 10.6 15.1

1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

20032003 -0.7 20042004 -1.2 -1.8 20052005 -0.9 -1.0 -0.1 20062006 0.0 0.2 1.2 2.5 20072007 0.2 0.5 1.2 1.9 1.3 20082008 0.7 1.0 1.7 2.3 2.2 3.0 20092009 0.3 0.4 0.9 1.1 0.7 0.4 -2.2 20102010 0.1 0.2 0.5 0.7 0.2 -0.2 -1.7 -1.2 20112011 -0.2 -0.2 0.1 0.1 -0.4 -0.8 -2.0 -2.0 -2.7 20122012 -0.4 -0.3 -0.1 -0.1 -0.6 -0.9 -1.9 -1.8 -2.1 -1.5

2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

1978

$17

1926 2012

Data provided by Dow jones indexes.

19921992 0.7 19931993 -1.6 -3.7 19941994 3.2 4.6 13.6 19951995 5.4 7.1 12.9 12.2 19961996 8.0 10.0 15.0 15.7 19.2 19971997 5.8 6.8 9.6 8.3 6.4 -5.0 19981998 0.1 0.0 0.7 -2.3 -6.7 -17.4 -28.2 19991999 2.5 2.7 3.9 2.0 -0.4 -6.2 -6.7 21.1 20002000 5.0 5.6 7.0 5.9 4.7 1.3 3.5 24.3 27.5 20012001 2.1 2.2 3.0 1.6 -0.1 -3.5 -3.2 7.0 0.5 -20.7 20022002 3.8 4.2 5.1 4.0 2.9 0.4 1.6 10.8 7.5 -1.3 23.0 20032003 5.2 5.6 6.6 5.9 5.1 3.2 4.7 12.9 10.9 5.8 22.3 21.6 20042004 5.2 5.6 6.5 5.9 5.2 3.5 4.8 11.6 9.8 5.8 16.5 13.4 5.7 20052005 6.1 6.5 7.4 6.9 6.3 5.0 6.3 12.4 11.1 8.0 16.7 14.7 11.4 17.4 20062006 5.6 6.0 6.8 6.2 5.7 4.4 5.5 10.7 9.3 6.6 13.1 10.7 7.3 8.1 -0.5 20072007 6.0 6.4 7.1 6.6 6.2 5.1 6.1 10.8 9.6 7.3 12.8 10.9 8.4 9.3 5.4 11.7 20082008 2.9 3.1 3.5 2.8 2.2 0.9 1.4 5.0 3.3 0.6 4.1 1.3 -2.4 -4.3 -10.6 -15.3 -35.7 20092009 3.6 3.8 4.3 3.7 3.1 1.9 2.5 5.9 4.5 2.2 5.5 3.2 0.4 -0.6 -4.6 -6.0 -13.7 15.8 20102010 4.2 4.4 4.9 4.3 3.8 2.8 3.4 6.6 5.4 3.4 6.5 4.6 2.4 1.9 -1.0 -1.1 -5.0 15.4 15.1 20112011 3.1 3.2 3.6 3.0 2.5 1.5 1.9 4.7 3.5 1.5 4.1 2.1 -0.1 -0.9 -3.6 -4.2 -7.8 3.9 -1.6 -15.8 20122012 2.8 2.9 3.2 2.7 2.2 1.2 1.6 4.2 3.0 1.1 3.4 1.6 -0.4 -1.1 -3.5 -4.0 -6.8 2.2 -2.0 -9.5 -2.8

1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

19921926 2012

$1.78

DOW jONES-UBS COmmODITy INDEX

1992–2012: Real Returns (%), Inflation-Adjusted

ONE-mONTH CERTIFICATES OF DEPOSIT1966–2012: Real Returns (%), Inflation-Adjusted

Data provided by the federal Reserve Statistical Release H.15: Selected interest Rates.

19661966 2.1 19671967 2.0 1.9 19681968 1.7 1.5 1.1 19691969 1.7 1.5 1.4 1.6 19701970 1.8 1.8 1.7 2.0 2.5 19711971 1.8 1.7 1.7 1.9 2.1 1.7 19721972 1.7 1.6 1.6 1.7 1.7 1.3 1.0 19731973 1.4 1.3 1.2 1.3 1.2 0.8 0.3 -0.4 19741974 1.1 1.0 0.9 0.9 0.7 0.3 -0.1 -0.7 -1.1 19751975 1.0 0.9 0.8 0.7 0.6 0.2 -0.2 -0.6 -0.7 -0.3 19761976 1.0 0.9 0.7 0.7 0.6 0.2 0.0 -0.3 -0.3 0.1 0.5 19771977 0.8 0.7 0.5 0.5 0.3 0.0 -0.2 -0.5 -0.5 -0.3 -0.3 -1.2 19781978 0.6 0.5 0.4 0.3 0.2 -0.1 -0.3 -0.6 -0.6 -0.5 -0.5 -1.1 -1.0 19791979 0.5 0.4 0.2 0.2 0.0 -0.3 -0.5 -0.7 -0.8 -0.7 -0.8 -1.3 -1.3 -1.6 19801980 0.5 0.4 0.3 0.2 0.1 -0.1 -0.3 -0.5 -0.5 -0.4 -0.5 -0.7 -0.6 -0.4 0.9 19811981 1.0 0.9 0.8 0.8 0.8 0.6 0.5 0.4 0.5 0.8 0.9 1.0 1.6 2.4 4.5 8.4 19821982 1.4 1.4 1.4 1.4 1.4 1.3 1.2 1.3 1.4 1.8 2.1 2.3 3.0 4.1 6.0 8.7 9.0 19831983 1.7 1.6 1.6 1.6 1.6 1.6 1.6 1.6 1.8 2.2 2.5 2.8 3.4 4.3 5.9 7.6 7.2 5.4 19841984 1.9 1.9 1.9 2.0 2.0 1.9 2.0 2.0 2.3 2.6 2.9 3.2 3.9 4.7 6.0 7.4 7.0 6.0 6.7 19851985 2.0 2.0 2.0 2.1 2.1 2.1 2.1 2.2 2.4 2.8 3.1 3.4 4.0 4.7 5.8 6.8 6.4 5.5 5.6 4.5 19861986 2.2 2.2 2.2 2.3 2.3 2.3 2.4 2.5 2.7 3.0 3.3 3.6 4.2 4.8 5.8 6.6 6.3 5.6 5.7 5.1 5.8 19871987 2.2 2.2 2.3 2.3 2.3 2.3 2.4 2.5 2.7 3.0 3.3 3.5 4.0 4.5 5.3 6.0 5.6 4.9 4.8 4.2 4.1 2.4 19881988 2.3 2.3 2.3 2.4 2.4 2.4 2.4 2.5 2.7 3.0 3.3 3.5 3.9 4.4 5.1 5.7 5.3 4.7 4.5 4.0 3.8 2.9 3.3 19891989 2.4 2.4 2.4 2.5 2.5 2.5 2.6 2.7 2.9 3.1 3.4 3.6 4.0 4.5 5.1 5.6 5.2 4.7 4.6 4.2 4.1 3.5 4.1 4.8 19901990 2.4 2.4 2.4 2.5 2.5 2.5 2.6 2.6 2.8 3.1 3.3 3.5 3.9 4.3 4.8 5.2 4.9 4.4 4.3 3.9 3.7 3.2 3.5 3.6 2.4 19911991 2.4 2.4 2.4 2.5 2.5 2.5 2.6 2.7 2.8 3.1 3.3 3.5 3.8 4.2 4.7 5.1 4.7 4.3 4.1 3.8 3.6 3.2 3.4 3.5 2.8 3.2 19921992 2.3 2.4 2.4 2.4 2.5 2.5 2.5 2.6 2.7 3.0 3.1 3.3 3.6 4.0 4.4 4.7 4.4 3.9 3.8 3.4 3.2 2.8 2.9 2.8 2.1 2.0 0.8 19931993 2.3 2.3 2.3 2.4 2.4 2.4 2.4 2.5 2.6 2.8 3.0 3.1 3.4 3.7 4.1 4.4 4.0 3.6 3.4 3.1 2.9 2.5 2.5 2.3 1.7 1.5 0.6 0.5 19941994 2.3 2.3 2.3 2.3 2.4 2.3 2.4 2.4 2.6 2.8 2.9 3.1 3.3 3.6 3.9 4.2 3.8 3.4 3.3 2.9 2.7 2.4 2.4 2.2 1.7 1.5 1.0 1.0 1.6 19951995 2.3 2.3 2.3 2.4 2.4 2.4 2.4 2.5 2.6 2.8 2.9 3.1 3.3 3.6 3.9 4.1 3.8 3.4 3.3 3.0 2.8 2.5 2.5 2.4 2.0 1.9 1.6 1.8 2.5 3.4 19961996 2.3 2.3 2.3 2.4 2.4 2.4 2.4 2.5 2.6 2.8 2.9 3.0 3.3 3.5 3.8 4.0 3.7 3.3 3.2 2.9 2.7 2.4 2.5 2.3 2.0 1.9 1.7 1.9 2.4 2.8 2.2 19971997 2.3 2.4 2.4 2.4 2.4 2.4 2.5 2.5 2.6 2.8 3.0 3.1 3.3 3.5 3.8 4.0 3.7 3.4 3.2 3.0 2.8 2.6 2.6 2.5 2.2 2.2 2.1 2.3 2.8 3.2 3.1 4.0 19981998 2.4 2.4 2.4 2.5 2.5 2.5 2.5 2.6 2.7 2.9 3.0 3.1 3.3 3.5 3.8 4.0 3.7 3.4 3.3 3.1 2.9 2.7 2.7 2.7 2.4 2.4 2.3 2.6 3.0 3.4 3.4 4.0 4.1 19991999 2.4 2.4 2.4 2.5 2.5 2.5 2.5 2.6 2.7 2.9 3.0 3.1 3.3 3.5 3.8 3.9 3.7 3.4 3.2 3.0 2.9 2.7 2.7 2.7 2.5 2.5 2.4 2.6 3.0 3.2 3.2 3.5 3.3 2.6 20002000 2.4 2.4 2.4 2.5 2.5 2.5 2.5 2.6 2.7 2.9 3.0 3.1 3.3 3.5 3.7 3.9 3.6 3.4 3.2 3.0 2.9 2.7 2.8 2.7 2.5 2.5 2.5 2.7 3.0 3.2 3.2 3.4 3.3 2.9 3.1 20012001 2.4 2.4 2.5 2.5 2.5 2.5 2.6 2.6 2.7 2.9 3.0 3.1 3.3 3.5 3.7 3.8 3.6 3.3 3.2 3.0 2.9 2.7 2.8 2.7 2.5 2.6 2.5 2.7 3.0 3.2 3.1 3.3 3.1 2.8 2.9 2.8 20022002 2.3 2.4 2.4 2.4 2.4 2.4 2.5 2.5 2.6 2.7 2.8 2.9 3.1 3.3 3.5 3.6 3.4 3.1 3.0 2.8 2.7 2.5 2.5 2.5 2.3 2.3 2.2 2.3 2.6 2.7 2.6 2.6 2.4 2.0 1.8 1.1 -0.62003 2.3 2.3 2.3 2.3 2.3 2.3 2.4 2.4 2.5 2.6 2.7 2.8 3.0 3.1 3.3 3.4 3.2 2.9 2.8 2.6 2.5 2.3 2.3 2.3 2.1 2.1 2.0 2.1 2.2 2.3 2.2 2.2 1.9 1.4 1.1 0.5 -0.62004 2.2 2.2 2.2 2.2 2.2 2.2 2.2 2.3 2.3 2.5 2.6 2.6 2.8 2.9 3.1 3.2 3.0 2.7 2.6 2.4 2.3 2.1 2.1 2.0 1.8 1.8 1.7 1.7 1.9 1.9 1.7 1.7 1.3 0.9 0.5 -0.1 -1.02005 2.1 2.1 2.1 2.1 2.2 2.1 2.2 2.2 2.3 2.4 2.5 2.5 2.7 2.8 3.0 3.1 2.9 2.6 2.5 2.3 2.2 2.0 2.0 1.9 1.7 1.6 1.5 1.6 1.7 1.7 1.5 1.5 1.1 0.7 0.4 -0.1 -0.82006 2.1 2.1 2.1 2.1 2.2 2.2 2.2 2.2 2.3 2.4 2.5 2.5 2.7 2.8 3.0 3.0 2.8 2.6 2.5 2.3 2.2 2.0 2.0 1.9 1.7 1.7 1.6 1.7 1.8 1.8 1.6 1.6 1.3 1.0 0.7 0.3 -0.12007 2.1 2.1 2.1 2.1 2.1 2.1 2.1 2.2 2.3 2.4 2.4 2.5 2.6 2.7 2.9 3.0 2.8 2.5 2.4 2.2 2.1 2.0 1.9 1.9 1.7 1.7 1.6 1.6 1.7 1.7 1.6 1.5 1.3 1.0 0.8 0.5 0.12008 2.1 2.1 2.1 2.1 2.2 2.2 2.2 2.2 2.3 2.4 2.5 2.5 2.6 2.8 2.9 3.0 2.8 2.6 2.4 2.3 2.2 2.0 2.0 1.9 1.8 1.8 1.7 1.7 1.8 1.8 1.7 1.7 1.5 1.2 1.0 0.8 0.52009 2.0 2.0 2.0 2.0 2.0 2.0 2.0 2.1 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.6 2.4 2.3 2.1 2.0 1.8 1.8 1.7 1.6 1.5 1.4 1.5 1.5 1.5 1.4 1.4 1.1 0.9 0.7 0.4 0.22010 1.9 1.9 1.9 2.0 2.0 2.0 2.0 2.0 2.1 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.5 2.2 2.1 2.0 1.9 1.7 1.7 1.6 1.4 1.4 1.3 1.3 1.4 1.4 1.2 1.2 1.0 0.7 0.5 0.3 0.02011 1.8 1.8 1.8 1.8 1.9 1.8 1.8 1.9 1.9 2.0 2.1 2.1 2.2 2.3 2.4 2.5 2.3 2.1 2.0 1.8 1.7 1.5 1.5 1.4 1.3 1.2 1.1 1.1 1.2 1.1 1.0 0.9 0.7 0.4 0.3 0.0 -0.32012 1.8 1.8 1.8 1.8 1.8 1.8 1.8 1.8 1.8 1.9 2.0 2.0 2.1 2.2 2.3 2.4 2.2 2.0 1.8 1.7 1.6 1.4 1.4 1.3 1.1 1.1 1.0 1.0 1.0 1.0 0.8 0.8 0.5 0.3 0.1 -0.1 -0.4

1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

19661926 2012

$2.28

19681968 0.5 19691969 0.5 0.4 19701970 0.6 0.7 1.0 19711971 0.7 0.8 1.0 1.0 19721972 0.7 0.7 0.8 0.7 0.4 19731973 0.3 0.2 0.2 -0.1 -0.7 -1.7 19741974 -0.3 -0.5 -0.6 -1.0 -1.7 -2.7 -3.7 19751975 -0.4 -0.5 -0.7 -1.0 -1.6 -2.2 -2.4 -1.1 19761976 -0.3 -0.4 -0.6 -0.8 -1.2 -1.6 -1.6 -0.4 0.3 19771977 -0.5 -0.6 -0.7 -0.9 -1.3 -1.6 -1.6 -0.8 -0.6 -1.5 19781978 -0.6 -0.7 -0.8 -1.0 -1.3 -1.6 -1.6 -1.0 -1.0 -1.6 -1.7 19791979 -0.7 -0.9 -1.0 -1.2 -1.5 -1.7 -1.7 -1.3 -1.4 -1.9 -2.1 -2.6 19801980 -0.8 -0.9 -1.0 -1.2 -1.4 -1.6 -1.6 -1.3 -1.3 -1.7 -1.8 -1.8 -1.0 19811981 -0.3 -0.4 -0.5 -0.6 -0.8 -0.9 -0.8 -0.4 -0.2 -0.3 0.0 0.5 2.1 5.3 19821982 0.1 0.1 0.0 0.0 -0.1 -0.2 0.0 0.5 0.7 0.8 1.2 2.0 3.5 5.9 6.4 19831983 0.4 0.4 0.4 0.3 0.3 0.3 0.4 0.9 1.2 1.3 1.8 2.5 3.8 5.5 5.6 4.8 19841984 0.7 0.7 0.7 0.7 0.7 0.7 0.9 1.4 1.7 1.8 2.3 3.0 4.2 5.5 5.6 5.2 5.5 19851985 0.8 0.9 0.9 0.9 0.9 0.9 1.1 1.6 1.9 2.1 2.5 3.1 4.1 5.2 5.1 4.7 4.7 3.8 19861986 1.1 1.1 1.1 1.1 1.1 1.2 1.4 1.9 2.2 2.3 2.8 3.4 4.2 5.1 5.1 4.8 4.8 4.4 4.9 19871987 1.1 1.1 1.1 1.1 1.1 1.2 1.4 1.8 2.1 2.2 2.6 3.1 3.8 4.5 4.4 4.0 3.8 3.2 3.0 1.0 19881988 1.1 1.1 1.2 1.2 1.2 1.2 1.4 1.8 2.0 2.2 2.5 3.0 3.6 4.2 4.0 3.6 3.4 2.9 2.6 1.4 1.9 19891989 1.2 1.2 1.3 1.3 1.3 1.4 1.6 1.9 2.1 2.3 2.6 3.0 3.6 4.1 4.0 3.6 3.4 3.0 2.8 2.1 2.7 3.6 19901990 1.2 1.3 1.3 1.3 1.3 1.4 1.6 1.9 2.1 2.2 2.5 2.9 3.4 3.9 3.7 3.4 3.2 2.8 2.6 2.0 2.3 2.6 1.6 19911991 1.3 1.3 1.3 1.4 1.4 1.4 1.6 1.9 2.1 2.3 2.5 2.9 3.3 3.7 3.6 3.3 3.1 2.7 2.6 2.1 2.4 2.5 2.0 2.5 19921992 1.2 1.3 1.3 1.3 1.3 1.4 1.6 1.9 2.0 2.1 2.4 2.7 3.1 3.5 3.3 3.0 2.8 2.5 2.3 1.8 2.0 2.0 1.5 1.5 0.5 19931993 1.2 1.2 1.3 1.3 1.3 1.3 1.5 1.8 1.9 2.0 2.3 2.5 2.9 3.2 3.0 2.7 2.5 2.2 2.0 1.6 1.7 1.6 1.2 1.0 0.3 0.1 19941994 1.2 1.2 1.3 1.3 1.3 1.3 1.5 1.7 1.9 2.0 2.2 2.4 2.8 3.1 2.9 2.6 2.4 2.1 1.9 1.5 1.6 1.6 1.2 1.1 0.6 0.7 1.2 19951995 1.3 1.3 1.3 1.3 1.3 1.4 1.5 1.8 1.9 2.0 2.2 2.5 2.8 3.0 2.9 2.6 2.4 2.2 2.0 1.7 1.8 1.7 1.5 1.4 1.2 1.4 2.0 2.9 19961996 1.3 1.3 1.3 1.4 1.4 1.4 1.5 1.8 1.9 2.0 2.2 2.4 2.7 3.0 2.8 2.6 2.4 2.1 2.0 1.7 1.8 1.8 1.5 1.5 1.3 1.5 2.0 2.3 1.8 19971997 1.4 1.4 1.4 1.4 1.4 1.5 1.6 1.9 2.0 2.1 2.3 2.5 2.8 3.0 2.9 2.6 2.5 2.2 2.1 1.9 1.9 1.9 1.7 1.8 1.7 1.9 2.3 2.7 2.6 3.5 19981998 1.4 1.4 1.5 1.5 1.5 1.6 1.7 1.9 2.1 2.1 2.3 2.5 2.8 3.0 2.9 2.7 2.5 2.3 2.2 2.0 2.1 2.1 1.9 1.9 1.9 2.1 2.5 2.8 2.8 3.3 3.2 19991999 1.4 1.5 1.5 1.5 1.5 1.6 1.7 1.9 2.0 2.1 2.3 2.5 2.8 3.0 2.8 2.6 2.5 2.3 2.2 2.0 2.0 2.1 1.9 1.9 1.9 2.1 2.4 2.7 2.6 2.9 2.6 2.0 20002000 1.5 1.5 1.5 1.5 1.6 1.6 1.7 1.9 2.1 2.1 2.3 2.5 2.7 2.9 2.8 2.6 2.5 2.3 2.2 2.0 2.1 2.1 2.0 2.0 1.9 2.1 2.4 2.6 2.6 2.8 2.5 2.2 2.4 20012001 1.5 1.5 1.5 1.6 1.6 1.6 1.7 2.0 2.1 2.1 2.3 2.5 2.7 2.9 2.8 2.6 2.5 2.3 2.2 2.0 2.1 2.1 2.0 2.0 2.0 2.1 2.4 2.6 2.5 2.7 2.5 2.2 2.3 2.3 20022002 1.4 1.4 1.5 1.5 1.5 1.5 1.7 1.9 2.0 2.0 2.2 2.3 2.6 2.7 2.6 2.4 2.3 2.1 2.0 1.8 1.9 1.9 1.8 1.8 1.7 1.9 2.0 2.1 2.0 2.1 1.8 1.5 1.3 0.7 -0.7 20032003 1.4 1.4 1.4 1.4 1.4 1.5 1.6 1.8 1.9 1.9 2.1 2.2 2.4 2.6 2.4 2.3 2.1 2.0 1.9 1.7 1.7 1.7 1.6 1.6 1.5 1.6 1.8 1.8 1.7 1.7 1.4 1.0 0.8 0.2 -0.8 -0.8 20042004 1.3 1.3 1.3 1.3 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.2 2.4 2.3 2.1 1.9 1.8 1.7 1.5 1.5 1.5 1.3 1.3 1.2 1.3 1.4 1.4 1.3 1.2 0.9 0.5 0.2 -0.3 -1.2 -1.4 -2.0 20052005 1.2 1.2 1.3 1.3 1.3 1.3 1.4 1.6 1.7 1.7 1.8 2.0 2.1 2.3 2.1 2.0 1.8 1.7 1.5 1.4 1.4 1.4 1.2 1.2 1.1 1.2 1.3 1.3 1.1 1.0 0.7 0.4 0.1 -0.4 -1.0 -1.1 -1.2 -0.4 20062006 1.2 1.3 1.3 1.3 1.3 1.3 1.4 1.6 1.7 1.7 1.8 2.0 2.1 2.3 2.1 2.0 1.8 1.7 1.6 1.4 1.4 1.4 1.3 1.3 1.2 1.2 1.3 1.3 1.2 1.1 0.9 0.6 0.4 0.1 -0.4 -0.3 -0.1 0.9 2.2 20072007 1.2 1.2 1.3 1.3 1.3 1.3 1.4 1.6 1.6 1.7 1.8 1.9 2.1 2.2 2.1 1.9 1.8 1.6 1.5 1.4 1.4 1.4 1.2 1.2 1.1 1.2 1.3 1.3 1.1 1.1 0.8 0.6 0.4 0.1 -0.2 -0.1 0.1 0.8 1.4 0.6 20082008 1.2 1.3 1.3 1.3 1.3 1.3 1.4 1.6 1.6 1.7 1.8 1.9 2.1 2.2 2.1 1.9 1.8 1.6 1.5 1.4 1.4 1.4 1.3 1.2 1.2 1.2 1.3 1.3 1.2 1.1 0.9 0.7 0.5 0.3 0.0 0.2 0.4 1.0 1.5 1.1 1.6 20092009 1.1 1.2 1.2 1.2 1.2 1.2 1.3 1.4 1.5 1.6 1.6 1.8 1.9 2.0 1.9 1.7 1.6 1.5 1.4 1.2 1.2 1.2 1.1 1.0 1.0 1.0 1.0 1.0 0.9 0.8 0.6 0.4 0.2 0.0 -0.3 -0.2 -0.1 0.3 0.4 -0.1 -0.5 -2.6 20102010 1.1 1.1 1.1 1.1 1.1 1.1 1.2 1.4 1.4 1.5 1.6 1.7 1.8 1.9 1.8 1.6 1.5 1.3 1.3 1.1 1.1 1.1 1.0 0.9 0.8 0.9 0.9 0.9 0.8 0.7 0.5 0.2 0.1 -0.1 -0.4 -0.4 -0.3 0.0 0.1 -0.5 -0.8 -2.0 -1.4 20112011 1.0 1.0 1.0 1.0 1.0 1.0 1.1 1.2 1.3 1.3 1.4 1.5 1.7 1.7 1.6 1.5 1.3 1.2 1.1 0.9 0.9 0.9 0.8 0.7 0.7 0.7 0.7 0.7 0.5 0.4 0.2 0.0 -0.2 -0.4 -0.7 -0.6 -0.6 -0.4 -0.4 -0.9 -1.3 -2.3 -2.1 -2.8 20122012 0.9 0.9 1.0 1.0 1.0 1.0 1.0 1.2 1.2 1.3 1.3 1.4 1.5 1.6 1.5 1.4 1.2 1.1 1.0 0.8 0.8 0.8 0.7 0.6 0.5 0.5 0.6 0.5 0.4 0.3 0.1 -0.1 -0.3 -0.5 -0.7 -0.7 -0.7 -0.6 -0.6 -1.1 -1.4 -2.1 -2.0 -2.2 -1.7

1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

Page 31: Dfa matrix book us_2013 - copy

DIMENSIONAL FUND ADVISORS MATRIX BOOK 201358 59

index statistics as of December 31, 2012

BALANCED STRATEGIES:SuMMaRY STaTISTIcS

fIxeD conSeRvaTIve MoDeRaTe noRMal aggReSSIve equITY

equITY 0% 20% 40% 60% 80% 100%

uS STockS 0% 14% 28% 42% 56% 70%

laRge caP S&p 500 inDex

0.0 4.0 8.0 12.0 16.0 20.0

laRge caP value DimenSional US laRge cap valUe inDex

0.0 4.0 8.0 12.0 16.0 20.0

SMall caP DimenSional US Small cap inDex

0.0 2.0 4.0 6.0 8.0 10.0

SMall caP value DimenSional US Small cap valUe inDex

0.0 2.0 4.0 6.0 8.0 10.0

Real eSTaTe STRaTegY DoW joneS US Select Reit inDex

0.0 2.0 4.0 6.0 8.0 10.0

non-uS STockS 0% 6% 12% 18% 24% 30%

value DimenSional inteRnational valUe inDex

0.0 2.0 4.0 6.0 8.0 10.0

SMall caP DimenSional inteRnational Small cap inDex

0.0 1.0 2.0 3.0 4.0 5.0

SMall caP valueDimenSional inteRnational Small cap valUe inDex

0.0 1.0 2.0 3.0 4.0 5.0

eMeRgIng MaRkeTS DimenSional emeRging maRketS inDex

0.0 0.6 1.2 1.8 2.4 3.0

eMeRgIng MaRkeTS valueDimenSional emeRging maRketS valUe inDex

0.0 0.6 1.2 1.8 2.4 3.0

eMeRgIng MaRkeTS SMall caPDimenSional emeRging maRketS Small cap inDex

0.0 0.8 1.6 2.4 3.2 4.0

fIxeD IncoMe 100% 80% 60% 40% 20% 0%one-YeaR bofa meRRill lyncH one-yeaR US tReaSURy note inDex

25.0 20.0 15.0 10.0 5.0 0.0

TWo-YeaR gloBalcitigRoUp WoRlD goveRnment bonD inDex 1-3 yeaRS (HeDgeD)

25.0 20.0 15.0 10.0 5.0 0.0

fIve-YeaR goveRnMenTbaRclayS tReaSURy bonD inDex 1-5 yeaRS

25.0 20.0 15.0 10.0 5.0 0.0

fIve-YeaR gloBalcitigRoUp WoRlD goveRnment bonD inDex 1-5 yeaRS (HeDgeD)

25.0 20.0 15.0 10.0 5.0 0.0

Real Estate Strategy weighting allocated evenly between US Small Cap and US Small Cap Value prior to January 1978 data inception.

International Value weighting allocated to Fama/French International Value Index prior to January 1994 data inception, and evenly between International Small Cap and MSCI EAFE Index (net dividends) prior to January 1975 data inception. International Small Cap Value weighting allocated to International Small Cap prior to July 1981 data inception.

Emerging Markets weighting allocated to MSCI Emerging Markets Index (gross dividends) prior to January 1994 data inception, and evenly between International Small Cap and International Value prior to January 1988 data inception.

Emerging Markets Value and Small Cap weighting allocated evenly between International Small Cap and International Value prior to January 1989 data inception. Two-Year Global weighting allocated to One-Year prior to January 1985 data inception.

Five-Year Government weighting allocated to Barclays US Government Bond Index Intermediate prior to January 1976 data inception.

Five-Year Global weighting allocated to Five-Year Government prior to January 1985 data inception.

For illustrative purposes only. The balanced strategies are not recommendations for an actual allocation.

Indices are not available for direct investment; their performance does not reflect the expenses associated with the management of an actual portfolio. Past performance is no guarantee of future results.

BALANCED STRATEGIES:WeIgHTS

fIxeD conSeRvaTIve MoDeRaTe noRMal aggReSSIve equITY

equITY 0% 20% 40% 60% 80% 100%

fIxeD IncoMe 100% 80% 60% 40% 20% 0%

one-YeaR ToTal ReTuRn (%) 1.1 4.7 8.4 12.1 15.8 19.6

THRee-YeaR annualIzeD ReTuRn (%) 1.7 3.6 5.5 7.2 8.9 10.3

fIve-YeaR annualIzeD ReTuRn (%) 2.5 2.9 3.0 2.8 2.4 1.7

Ten-YeaR annualIzeD ReTuRn (%) 2.9 4.8 6.6 8.2 9.7 11.0

TWenTY-YeaR annualIzeD ReTuRn (%) 4.5 6.0 7.3 8.5 9.6 10.5

annualIzeD ReTuRn (%)1973–2012

6.8 8.2 9.6 10.9 12.1 13.2

annualIzeD STanDaRD DevIaTIon (%)1973–2012

2.5 3.8 6.6 9.6 12.7 15.8

loWeST one-YeaR ReTuRn (%) 0.5 -9.9 -22.2 -33.3 -43.2 -51.9 (1/94-12/94) (3/08-2/09) (3/08-2/09) (3/08-2/09) (3/08-2/09) (3/08-2/09)

loWeST annualIzeD THRee-YeaR ReTuRn (%)

1.5 0.6 -4.3 -9.2 -14.0 -18.8 (12/09-11/12) (3/06-2/09) (3/06-2/09) (3/06-2/09) (3/06-2/09) (3/06-2/09)

HIgHeST one-YeaR ReTuRn (%) 22.6 25.4 33.5 45.6 62.9 81.9 (10/81-9/82) (7/82-6/83) (7/82-6/83) (3/09-2/10) (3/09-2/10) (3/09-2/10)

HIgHeST annualIzeDTHRee-YeaR ReTuRn (%)

15.7 17.3 21.6 26.9 32.4 38.1 (3/80-2/83) (4/80-3/83) (8/84-7/87) (8/84-7/87) (8/84-7/87) (8/84-7/87)

gRoWTH of $11973–2012

$13.68 $23.68 $39.35 $62.74 $95.93 $140.58

Assumes all strategies have been rebalanced monthly. Highest and lowest one-year and three-year returns are calculated from periods overlapping monthly. Annualized standard deviation is calculated from monthly data.

All performance results of the balanced strategies are based on performance of indices with model/back-tested asset allocations; the performance was achieved with the benefit of hindsight; it does not represent actual investment strategies. The model’s performance does not reflect advisory fees or other expenses associated with the management of an actual portfolio. There are limitations inherent in model allocations. In particular, model performance may not reflect the impact that economic and market factors may have had on the advisor’s decision-making if the advisor were actually managing client money.

Past performance is no guarantee of future results.

Page 32: Dfa matrix book us_2013 - copy

DIMENSIONAL FUND ADVISORS MATRIX BOOK 201360 61

BALANCED STRATEGy: NORmAL60% equITY, 40% fIxeD IncoMe

1973–2012: Total Returns (%)

BALANCED STRATEGy: mODERATE40% equITY, 60% fIxeD IncoMe

1973–2012: Total Returns (%)

19731973 -9.3 19741974 -10.4 -11.4 19751975 1.8 7.9 31.4 19761976 6.5 12.4 26.5 21.9 19771977 7.7 12.4 21.7 17.0 12.4 19781978 9.1 13.1 20.3 16.8 14.3 16.2 19791979 10.1 13.7 19.5 16.7 15.0 16.3 16.3 19801980 11.3 14.6 19.7 17.5 16.4 17.8 18.5 20.7 19811981 11.1 14.0 18.2 16.1 15.0 15.6 15.5 15.0 9.5 19821982 11.8 14.5 18.2 16.4 15.6 16.2 16.2 16.1 13.9 18.4 19831983 12.8 15.3 18.7 17.2 16.6 17.3 17.5 17.7 16.8 20.5 22.7 19841984 12.6 14.8 17.9 16.5 15.8 16.3 16.3 16.3 15.2 17.1 16.5 10.6 19851985 13.6 15.8 18.6 17.4 17.0 17.5 17.7 18.0 17.4 19.4 19.8 18.4 26.7 19861986 14.2 16.2 18.8 17.8 17.4 17.9 18.1 18.4 18.0 19.8 20.1 19.3 23.9 21.1 19871987 13.9 15.7 18.1 17.1 16.7 17.1 17.2 17.3 16.8 18.1 18.0 16.9 19.0 15.4 10.0 19881988 14.1 15.9 18.1 17.2 16.8 17.2 17.3 17.4 17.0 18.1 18.1 17.1 18.8 16.3 14.0 18.2 19891989 14.5 16.1 18.3 17.4 17.0 17.4 17.5 17.6 17.3 18.3 18.3 17.6 19.0 17.2 15.9 19.0 19.8 19901990 13.2 14.7 16.6 15.7 15.2 15.5 15.4 15.3 14.8 15.4 15.0 14.0 14.5 12.2 10.1 10.2 6.3 -5.6 19911991 13.7 15.1 16.9 16.1 15.7 15.9 15.9 15.9 15.4 16.0 15.8 14.9 15.6 13.8 12.4 13.0 11.3 7.3 22.0 19921992 13.4 14.7 16.4 15.6 15.2 15.4 15.3 15.2 14.8 15.2 14.9 14.1 14.5 12.9 11.6 11.9 10.4 7.4 14.6 7.7 19931993 13.7 15.0 16.6 15.8 15.5 15.6 15.6 15.6 15.2 15.6 15.4 14.7 15.2 13.8 12.8 13.3 12.3 10.5 16.4 13.8 20.2 19941994 13.2 14.3 15.8 15.1 14.7 14.8 14.7 14.6 14.2 14.6 14.3 13.5 13.8 12.5 11.4 11.6 10.6 8.8 12.7 9.8 10.9 2.3 19951995 13.4 14.5 15.9 15.2 14.8 15.0 14.9 14.8 14.4 14.8 14.5 13.9 14.2 13.0 12.1 12.4 11.6 10.3 13.7 11.8 13.2 9.8 17.8 19961996 13.4 14.5 15.8 15.1 14.8 14.9 14.9 14.8 14.4 14.8 14.5 13.9 14.2 13.1 12.3 12.6 11.9 10.8 13.8 12.2 13.4 11.2 16.0 14.2 19971997 13.4 14.4 15.7 15.0 14.7 14.8 14.8 14.7 14.3 14.6 14.4 13.8 14.0 13.1 12.4 12.6 12.0 11.0 13.6 12.3 13.3 11.6 14.9 13.4 12.6 19981998 13.1 14.1 15.3 14.7 14.3 14.4 14.3 14.2 13.9 14.2 13.9 13.3 13.5 12.6 11.9 12.1 11.5 10.6 12.8 11.5 12.2 10.6 12.8 11.2 9.7 6.9 19991999 13.1 14.1 15.3 14.6 14.3 14.4 14.3 14.2 13.9 14.1 13.9 13.4 13.6 12.7 12.1 12.2 11.7 10.9 12.9 11.8 12.5 11.2 13.1 11.9 11.2 10.5 14.1 20002000 12.8 13.7 14.8 14.2 13.9 13.9 13.8 13.7 13.4 13.6 13.3 12.8 12.9 12.1 11.4 11.5 11.0 10.2 12.0 10.9 11.3 10.1 11.5 10.2 9.3 8.1 8.8 3.7 20012001 12.5 13.3 14.4 13.7 13.4 13.5 13.4 13.2 12.9 13.0 12.8 12.2 12.3 11.5 10.9 11.0 10.4 9.7 11.2 10.1 10.4 9.3 10.3 9.1 8.1 7.0 7.0 3.6 3.5 20022002 11.8 12.6 13.6 13.0 12.7 12.7 12.5 12.3 12.0 12.1 11.8 11.2 11.3 10.4 9.8 9.8 9.2 8.4 9.7 8.6 8.7 7.5 8.2 6.9 5.7 4.4 3.8 0.6 -1.0 -5.2 20032003 12.3 13.1 14.1 13.5 13.2 13.2 13.1 13.0 12.6 12.8 12.5 12.0 12.1 11.3 10.8 10.8 10.4 9.7 11.0 10.1 10.3 9.4 10.2 9.3 8.6 8.0 8.2 6.7 7.8 10.0 27.7 20042004 12.3 13.1 14.0 13.5 13.2 13.2 13.1 13.0 12.7 12.8 12.6 12.1 12.2 11.5 11.0 11.0 10.6 10.0 11.2 10.4 10.6 9.8 10.6 9.8 9.3 8.8 9.1 8.1 9.3 11.3 20.6 13.9 20052005 12.2 13.0 13.9 13.3 13.0 13.1 12.9 12.8 12.5 12.6 12.4 11.9 12.0 11.3 10.8 10.9 10.4 9.9 11.0 10.3 10.5 9.7 10.4 9.7 9.2 8.7 9.0 8.2 9.1 10.5 16.4 11.1 8.3 20062006 12.3 13.1 13.9 13.4 13.1 13.2 13.1 12.9 12.6 12.8 12.5 12.1 12.2 11.5 11.1 11.1 10.8 10.3 11.3 10.6 10.9 10.2 10.9 10.2 9.9 9.6 9.9 9.3 10.3 11.7 16.4 12.8 12.2 16.3 20072007 12.1 12.8 13.6 13.1 12.8 12.9 12.7 12.6 12.3 12.4 12.2 11.8 11.8 11.2 10.8 10.8 10.4 9.9 10.9 10.2 10.4 9.8 10.3 9.7 9.4 9.0 9.3 8.7 9.4 10.4 13.9 10.6 9.6 10.2 4.4 20082008 10.8 11.5 12.2 11.7 11.4 11.4 11.2 11.0 10.7 10.7 10.5 10.0 10.0 9.3 8.8 8.7 8.3 7.7 8.5 7.7 7.7 7.0 7.3 6.5 5.9 5.3 5.2 4.2 4.3 4.4 6.1 2.2 -0.5 -3.3 -11.8 -25.5 20092009 11.2 11.8 12.6 12.1 11.8 11.8 11.6 11.5 11.2 11.2 11.0 10.5 10.5 9.9 9.4 9.4 9.0 8.5 9.3 8.6 8.7 8.0 8.4 7.8 7.3 6.9 6.8 6.1 6.4 6.8 8.6 5.7 4.2 3.2 -0.9 -3.4 25.3 20102010 11.3 11.9 12.6 12.1 11.9 11.8 11.7 11.6 11.3 11.3 11.1 10.7 10.7 10.1 9.6 9.6 9.2 8.8 9.5 8.9 9.0 8.4 8.7 8.2 7.7 7.4 7.4 6.8 7.2 7.6 9.3 6.9 5.8 5.2 2.7 2.1 19.5 14.0 20112011 10.9 11.5 12.2 11.7 11.4 11.4 11.2 11.0 10.7 10.8 10.5 10.1 10.1 9.5 9.1 9.0 8.7 8.2 8.9 8.3 8.3 7.7 8.0 7.4 7.0 6.6 6.5 5.9 6.1 6.4 7.8 5.5 4.4 3.7 1.4 0.7 11.3 4.9 -3.5 20122012 10.9 11.5 12.2 11.7 11.4 11.4 11.2 11.1 10.8 10.8 10.6 10.2 10.2 9.6 9.2 9.2 8.8 8.3 9.0 8.4 8.5 7.9 8.2 7.7 7.3 6.9 6.9 6.4 6.6 6.9 8.2 6.2 5.3 4.9 3.1 2.8 11.5 7.2 4.0 12.1

1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

19731973 -4.6 19741974 -4.9 -5.3 19751975 3.7 8.1 23.3 19761976 6.9 11.1 20.3 17.3 19771977 7.5 10.7 16.6 13.4 9.6 19781978 8.3 11.0 15.5 13.0 11.0 12.3 19791979 9.0 11.5 15.2 13.2 11.9 13.0 13.7 19801980 10.0 12.2 15.5 13.9 13.1 14.3 15.3 16.9 19811981 10.1 12.1 14.8 13.4 12.7 13.4 13.8 13.8 10.8 19821982 10.9 12.8 15.3 14.2 13.7 14.5 15.1 15.5 14.8 19.0 19831983 11.6 13.3 15.6 14.7 14.3 15.1 15.6 16.1 15.9 18.5 17.9 19841984 11.6 13.2 15.2 14.3 13.9 14.6 15.0 15.2 14.8 16.1 14.7 11.6 19851985 12.3 13.9 15.8 15.1 14.8 15.5 15.9 16.3 16.2 17.6 17.1 16.6 21.9 19861986 12.7 14.1 15.9 15.3 15.1 15.7 16.1 16.4 16.4 17.5 17.1 16.9 19.6 17.4 19871987 12.4 13.7 15.4 14.7 14.5 15.0 15.3 15.5 15.3 16.0 15.5 14.8 16.0 13.1 9.0 19881988 12.5 13.8 15.3 14.7 14.5 14.9 15.2 15.3 15.1 15.8 15.3 14.7 15.5 13.5 11.6 14.2 19891989 12.8 13.9 15.4 14.8 14.6 15.0 15.3 15.4 15.3 15.9 15.4 15.0 15.7 14.2 13.1 15.3 16.4 19901990 12.0 13.0 14.3 13.7 13.4 13.7 13.8 13.9 13.6 13.9 13.2 12.6 12.7 11.0 9.5 9.6 7.4 -0.9 19911991 12.3 13.3 14.5 14.0 13.7 14.0 14.2 14.2 14.0 14.3 13.8 13.3 13.5 12.2 11.2 11.7 10.9 8.2 18.2 19921992 12.0 13.0 14.1 13.6 13.3 13.6 13.7 13.7 13.4 13.6 13.1 12.6 12.7 11.4 10.5 10.8 9.9 7.9 12.6 7.2 19931993 12.2 13.1 14.1 13.7 13.4 13.7 13.8 13.8 13.5 13.8 13.3 12.9 13.0 11.9 11.2 11.5 11.0 9.7 13.5 11.2 15.4 19941994 11.7 12.5 13.5 13.0 12.8 12.9 13.0 12.9 12.7 12.8 12.3 11.8 11.8 10.7 9.9 10.1 9.4 8.1 10.4 8.0 8.4 1.8 19951995 11.8 12.7 13.6 13.1 12.9 13.1 13.1 13.1 12.9 13.0 12.5 12.1 12.2 11.2 10.6 10.8 10.3 9.3 11.5 9.8 10.7 8.5 15.6 19961996 11.8 12.6 13.5 13.0 12.8 13.0 13.0 13.0 12.8 12.9 12.5 12.1 12.1 11.2 10.7 10.8 10.4 9.6 11.5 10.2 10.9 9.5 13.5 11.5 19971997 11.8 12.5 13.4 12.9 12.7 12.9 12.9 12.9 12.6 12.8 12.4 12.0 12.0 11.2 10.7 10.8 10.5 9.7 11.4 10.2 10.9 9.8 12.6 11.1 10.7 19981998 11.6 12.3 13.1 12.7 12.5 12.6 12.6 12.6 12.3 12.4 12.0 11.6 11.6 10.9 10.4 10.5 10.1 9.5 10.8 9.8 10.3 9.3 11.2 9.8 9.0 7.3 19991999 11.6 12.2 13.0 12.6 12.4 12.5 12.5 12.5 12.2 12.3 11.9 11.6 11.6 10.9 10.4 10.5 10.2 9.6 10.8 9.9 10.3 9.5 11.1 10.0 9.5 8.9 10.5 20002000 11.3 12.0 12.7 12.3 12.1 12.2 12.2 12.1 11.9 11.9 11.5 11.2 11.2 10.5 10.0 10.1 9.7 9.2 10.2 9.4 9.6 8.8 10.1 9.0 8.4 7.6 7.8 5.2 20012001 11.1 11.7 12.4 12.0 11.8 11.9 11.8 11.8 11.5 11.6 11.2 10.8 10.8 10.1 9.6 9.7 9.4 8.8 9.7 8.9 9.1 8.3 9.3 8.3 7.7 6.9 6.8 5.0 4.8 20022002 10.6 11.2 11.8 11.4 11.2 11.3 11.2 11.1 10.9 10.9 10.5 10.1 10.0 9.4 8.9 8.9 8.5 7.9 8.7 7.9 8.0 7.2 7.9 6.8 6.0 5.1 4.6 2.7 1.5 -1.8 20032003 10.9 11.4 12.1 11.7 11.5 11.6 11.5 11.4 11.2 11.2 10.9 10.5 10.5 9.9 9.4 9.5 9.2 8.7 9.4 8.7 8.9 8.2 9.0 8.2 7.7 7.2 7.2 6.4 6.9 7.9 18.6 20042004 10.9 11.4 12.0 11.6 11.4 11.5 11.5 11.4 11.1 11.2 10.8 10.5 10.4 9.9 9.5 9.5 9.2 8.7 9.5 8.8 8.9 8.4 9.1 8.4 8.0 7.6 7.7 7.1 7.6 8.5 14.1 9.8 20052005 10.7 11.2 11.8 11.4 11.2 11.3 11.3 11.2 11.0 11.0 10.6 10.3 10.2 9.7 9.3 9.3 9.0 8.6 9.2 8.6 8.7 8.2 8.8 8.2 7.8 7.4 7.5 7.0 7.3 8.0 11.4 8.0 6.4 20062006 10.8 11.3 11.8 11.5 11.3 11.3 11.3 11.2 11.0 11.0 10.7 10.4 10.3 9.8 9.4 9.5 9.2 8.8 9.4 8.9 9.0 8.5 9.1 8.5 8.2 8.0 8.0 7.7 8.1 8.8 11.6 9.4 9.2 12.1 20072007 10.6 11.1 11.6 11.3 11.1 11.1 11.1 11.0 10.8 10.8 10.5 10.2 10.1 9.6 9.2 9.2 9.0 8.6 9.2 8.6 8.7 8.3 8.8 8.2 7.9 7.7 7.7 7.4 7.7 8.2 10.3 8.3 7.9 8.6 5.2 20082008 9.8 10.2 10.7 10.3 10.1 10.1 10.1 9.9 9.7 9.7 9.3 9.0 8.9 8.3 7.9 7.9 7.6 7.2 7.6 7.0 7.0 6.5 6.8 6.2 5.7 5.3 5.1 4.5 4.5 4.4 5.5 3.0 1.4 -0.2 -5.8 -15.7 20092009 10.0 10.4 10.9 10.5 10.3 10.4 10.3 10.2 10.0 9.9 9.6 9.3 9.2 8.7 8.3 8.3 8.0 7.6 8.1 7.6 7.6 7.1 7.5 6.9 6.6 6.2 6.2 5.7 5.8 5.9 7.1 5.3 4.4 3.9 1.3 -0.6 17.2 20102010 10.0 10.4 10.9 10.5 10.3 10.3 10.3 10.2 10.0 9.9 9.6 9.3 9.2 8.7 8.4 8.4 8.1 7.7 8.2 7.7 7.7 7.3 7.6 7.1 6.8 6.5 6.5 6.1 6.2 6.4 7.4 5.9 5.3 5.1 3.4 2.8 13.5 10.0 20112011 9.6 10.0 10.5 10.2 10.0 10.0 9.9 9.8 9.6 9.5 9.2 8.9 8.8 8.3 8.0 7.9 7.7 7.3 7.7 7.2 7.2 6.8 7.1 6.6 6.2 5.9 5.8 5.5 5.5 5.5 6.4 5.0 4.3 4.0 2.4 1.7 8.3 4.1 -1.6 20122012 9.6 10.0 10.4 10.1 9.9 9.9 9.9 9.7 9.5 9.5 9.2 8.9 8.8 8.3 8.0 8.0 7.7 7.4 7.7 7.3 7.3 6.9 7.1 6.7 6.4 6.1 6.0 5.7 5.7 5.8 6.6 5.3 4.8 4.6 3.4 3.0 8.3 5.5 3.3 8.4

1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

1973

$39

1926 2012

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

1973

$63

1926 2012

19731973 0.2 19741974 0.7 1.2 19751975 5.4 8.1 15.5 19761976 7.2 9.6 14.1 12.8 19771977 7.1 8.9 11.7 9.8 6.9 19781978 7.4 8.8 10.9 9.4 7.7 8.5 19791979 7.9 9.2 10.9 9.8 8.8 9.8 11.1 19801980 8.5 9.8 11.3 10.4 9.8 10.8 12.0 13.0 19811981 8.9 10.0 11.4 10.7 10.3 11.1 12.0 12.5 12.0 19821982 9.9 11.1 12.4 11.9 11.8 12.8 13.9 14.8 15.7 19.6 19831983 10.2 11.3 12.5 12.1 12.0 12.9 13.8 14.4 14.9 16.4 13.3 19841984 10.4 11.4 12.5 12.1 12.1 12.8 13.6 14.0 14.3 15.1 12.9 12.5 19851985 10.9 11.9 12.9 12.6 12.6 13.4 14.1 14.6 14.9 15.6 14.3 14.9 17.3 19861986 11.1 12.0 13.0 12.7 12.7 13.4 14.0 14.5 14.7 15.2 14.2 14.5 15.5 13.7 19871987 10.9 11.7 12.5 12.3 12.3 12.8 13.3 13.6 13.7 13.9 12.8 12.7 12.8 10.6 7.6 19881988 10.9 11.6 12.4 12.1 12.1 12.6 13.0 13.2 13.2 13.4 12.4 12.2 12.2 10.5 9.0 10.3 19891989 11.0 11.7 12.4 12.2 12.2 12.6 13.0 13.2 13.2 13.4 12.5 12.4 12.3 11.1 10.3 11.6 13.0 19901990 10.6 11.2 11.9 11.6 11.6 11.9 12.2 12.3 12.2 12.3 11.4 11.1 10.9 9.6 8.7 9.0 8.4 3.9 19911991 10.8 11.4 12.0 11.8 11.7 12.1 12.4 12.5 12.4 12.5 11.7 11.5 11.4 10.4 9.8 10.3 10.4 9.1 14.5 19921992 10.6 11.1 11.7 11.5 11.4 11.7 12.0 12.0 12.0 11.9 11.2 11.0 10.8 9.9 9.3 9.6 9.4 8.3 10.5 6.7 19931993 10.6 11.1 11.7 11.5 11.4 11.7 11.9 11.9 11.9 11.8 11.2 11.0 10.8 10.0 9.5 9.8 9.7 8.9 10.6 8.7 10.7 19941994 10.1 10.6 11.1 10.9 10.8 11.0 11.2 11.2 11.1 11.0 10.3 10.0 9.8 9.0 8.4 8.5 8.2 7.3 8.1 6.1 5.8 1.2 19951995 10.3 10.7 11.2 11.0 10.9 11.2 11.3 11.3 11.2 11.2 10.5 10.3 10.1 9.4 8.9 9.1 8.9 8.3 9.2 7.9 8.3 7.1 13.4 19961996 10.2 10.7 11.1 10.9 10.8 11.0 11.2 11.2 11.1 11.0 10.4 10.2 10.0 9.4 8.9 9.1 8.9 8.4 9.1 8.1 8.4 7.7 11.1 8.8 19971997 10.1 10.6 11.0 10.8 10.7 10.9 11.0 11.0 10.9 10.9 10.3 10.1 9.9 9.3 8.9 9.0 8.9 8.4 9.1 8.2 8.5 7.9 10.3 8.8 8.7 19981998 10.0 10.5 10.9 10.7 10.6 10.7 10.9 10.8 10.7 10.6 10.1 9.9 9.7 9.2 8.8 8.9 8.8 8.3 8.9 8.1 8.3 7.8 9.6 8.3 8.1 7.4 19991999 9.9 10.3 10.7 10.5 10.4 10.6 10.7 10.6 10.5 10.4 9.9 9.7 9.5 9.0 8.6 8.7 8.6 8.2 8.6 7.9 8.1 7.7 9.0 8.0 7.7 7.2 6.9 20002000 9.8 10.2 10.5 10.3 10.2 10.4 10.5 10.4 10.3 10.2 9.7 9.5 9.3 8.8 8.5 8.6 8.4 8.0 8.4 7.8 7.9 7.5 8.6 7.7 7.4 7.0 6.8 6.6 20012001 9.7 10.0 10.4 10.2 10.1 10.2 10.3 10.2 10.1 10.0 9.5 9.3 9.1 8.7 8.3 8.4 8.2 7.8 8.2 7.6 7.7 7.3 8.3 7.4 7.1 6.7 6.5 6.3 6.0 20022002 9.4 9.7 10.0 9.8 9.7 9.9 9.9 9.9 9.7 9.6 9.1 8.9 8.7 8.2 7.9 7.9 7.8 7.4 7.7 7.1 7.1 6.7 7.4 6.6 6.2 5.7 5.3 4.7 3.8 1.7 20032003 9.4 9.7 10.0 9.8 9.7 9.9 9.9 9.9 9.7 9.6 9.2 9.0 8.8 8.3 8.0 8.0 7.9 7.5 7.8 7.3 7.3 7.0 7.7 7.0 6.7 6.4 6.2 6.0 5.8 5.7 9.9 20042004 9.3 9.6 9.9 9.7 9.6 9.7 9.7 9.7 9.6 9.4 9.0 8.8 8.6 8.2 7.9 7.9 7.8 7.4 7.7 7.2 7.2 6.9 7.5 6.8 6.6 6.3 6.1 6.0 5.8 5.7 7.8 5.7 20052005 9.1 9.4 9.7 9.5 9.4 9.5 9.5 9.5 9.3 9.2 8.8 8.6 8.4 8.0 7.7 7.7 7.6 7.2 7.4 7.0 7.0 6.7 7.2 6.6 6.3 6.1 5.9 5.7 5.5 5.4 6.6 5.0 4.4 20062006 9.1 9.4 9.7 9.5 9.4 9.5 9.5 9.4 9.3 9.2 8.8 8.6 8.4 8.0 7.7 7.7 7.6 7.3 7.5 7.0 7.1 6.8 7.3 6.7 6.5 6.3 6.1 6.0 5.9 5.9 7.0 6.0 6.2 8.1 20072007 9.0 9.3 9.5 9.4 9.3 9.3 9.4 9.3 9.2 9.1 8.7 8.5 8.3 7.9 7.6 7.6 7.5 7.2 7.4 7.0 7.0 6.7 7.2 6.7 6.5 6.2 6.1 6.0 5.9 5.9 6.8 6.0 6.1 7.0 5.9 20082008 8.6 8.8 9.1 8.9 8.8 8.8 8.8 8.8 8.6 8.5 8.1 7.9 7.7 7.3 7.0 7.0 6.8 6.5 6.7 6.2 6.2 5.9 6.2 5.7 5.5 5.2 4.9 4.7 4.5 4.3 4.7 3.7 3.2 2.8 0.3 -5.1 20092009 8.6 8.9 9.1 8.9 8.8 8.8 8.9 8.8 8.6 8.5 8.1 7.9 7.8 7.4 7.1 7.1 6.9 6.6 6.8 6.4 6.4 6.1 6.4 6.0 5.7 5.5 5.3 5.2 5.0 4.9 5.3 4.6 4.4 4.4 3.2 1.8 9.2 20102010 8.5 8.8 9.0 8.8 8.7 8.8 8.8 8.7 8.6 8.4 8.1 7.9 7.7 7.3 7.1 7.0 6.9 6.6 6.8 6.4 6.3 6.1 6.4 6.0 5.8 5.5 5.4 5.2 5.1 5.0 5.4 4.8 4.6 4.7 3.9 3.2 7.6 6.0 20112011 8.3 8.5 8.8 8.6 8.5 8.5 8.5 8.4 8.3 8.2 7.8 7.6 7.4 7.0 6.8 6.8 6.6 6.3 6.4 6.0 6.0 5.8 6.0 5.6 5.4 5.1 5.0 4.8 4.6 4.5 4.8 4.2 4.0 3.9 3.1 2.4 5.1 3.1 0.2 20122012 8.2 8.4 8.6 8.5 8.3 8.4 8.4 8.3 8.2 8.0 7.7 7.5 7.3 7.0 6.7 6.7 6.5 6.3 6.4 6.0 6.0 5.7 6.0 5.5 5.3 5.1 5.0 4.8 4.7 4.5 4.8 4.3 4.1 4.1 3.4 2.9 5.0 3.6 2.5 4.7

1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

19731973 5.1 19741974 6.5 7.9 19751975 7.0 7.9 7.9 19761976 7.3 8.0 8.1 8.3 19771977 6.7 7.1 6.8 6.2 4.2 19781978 6.3 6.6 6.3 5.7 4.5 4.7 19791979 6.6 6.9 6.7 6.4 5.8 6.6 8.5 19801980 6.9 7.2 7.1 6.9 6.6 7.4 8.8 9.1 19811981 7.6 7.9 7.9 8.0 7.9 8.8 10.2 11.1 13.2 19821982 8.8 9.2 9.4 9.6 9.8 11.0 12.6 14.0 16.6 20.0 19831983 8.8 9.2 9.3 9.5 9.7 10.6 11.8 12.7 13.9 14.3 8.8 19841984 9.2 9.6 9.7 9.9 10.1 11.0 12.1 12.8 13.8 14.0 11.1 13.4 19851985 9.5 9.8 10.0 10.2 10.4 11.2 12.2 12.8 13.6 13.7 11.6 13.1 12.8 19861986 9.5 9.8 10.0 10.2 10.4 11.1 11.9 12.4 13.0 12.9 11.2 12.1 11.4 10.1 19871987 9.3 9.6 9.7 9.8 10.0 10.6 11.3 11.6 12.0 11.8 10.2 10.5 9.6 8.0 6.0 19881988 9.1 9.4 9.5 9.6 9.7 10.2 10.8 11.0 11.3 11.0 9.6 9.7 8.8 7.5 6.3 6.5 19891989 9.1 9.4 9.5 9.6 9.7 10.2 10.7 10.9 11.1 10.8 9.6 9.7 9.0 8.0 7.4 8.1 9.7 19901990 9.1 9.3 9.4 9.5 9.6 10.1 10.5 10.7 10.9 10.6 9.5 9.6 9.0 8.2 7.7 8.3 9.2 8.8 19911991 9.2 9.4 9.5 9.6 9.7 10.1 10.5 10.7 10.9 10.6 9.6 9.7 9.2 8.6 8.3 8.9 9.7 9.8 10.7 19921992 9.0 9.2 9.3 9.4 9.5 9.8 10.2 10.3 10.4 10.2 9.3 9.3 8.8 8.3 8.0 8.4 8.8 8.5 8.4 6.1 19931993 8.9 9.1 9.2 9.2 9.3 9.6 9.9 10.0 10.1 9.9 9.0 9.0 8.5 8.0 7.7 8.0 8.3 8.0 7.7 6.2 6.2 19941994 8.5 8.7 8.7 8.7 8.8 9.0 9.3 9.4 9.4 9.1 8.2 8.2 7.7 7.1 6.8 6.9 7.0 6.4 5.8 4.3 3.3 0.5 19951995 8.6 8.8 8.8 8.9 8.9 9.2 9.4 9.5 9.5 9.3 8.5 8.5 8.0 7.5 7.3 7.4 7.6 7.2 6.9 6.0 5.9 5.8 11.3 19961996 8.5 8.7 8.7 8.7 8.8 9.0 9.3 9.3 9.3 9.1 8.3 8.3 7.9 7.4 7.2 7.3 7.4 7.1 6.8 6.0 6.0 5.9 8.7 6.2 19971997 8.4 8.6 8.6 8.7 8.7 8.9 9.1 9.2 9.2 8.9 8.2 8.2 7.8 7.4 7.1 7.2 7.3 7.0 6.8 6.1 6.1 6.1 8.0 6.5 6.7 19981998 8.4 8.5 8.6 8.6 8.6 8.8 9.0 9.1 9.1 8.8 8.2 8.1 7.7 7.4 7.1 7.2 7.3 7.1 6.8 6.3 6.3 6.4 7.9 6.8 7.0 7.3 19991999 8.2 8.3 8.4 8.4 8.4 8.6 8.8 8.8 8.8 8.5 7.9 7.8 7.4 7.1 6.9 6.9 7.0 6.7 6.5 5.9 5.9 5.9 7.0 5.9 5.8 5.4 3.4 20002000 8.2 8.3 8.3 8.4 8.4 8.5 8.7 8.7 8.7 8.5 7.9 7.8 7.5 7.1 6.9 7.0 7.1 6.8 6.6 6.2 6.2 6.2 7.1 6.3 6.4 6.3 5.7 8.1 20012001 8.2 8.3 8.3 8.3 8.3 8.5 8.7 8.7 8.6 8.4 7.8 7.8 7.5 7.1 6.9 7.0 7.1 6.8 6.7 6.3 6.3 6.3 7.1 6.5 6.5 6.5 6.2 7.6 7.1 20022002 8.1 8.2 8.2 8.2 8.2 8.3 8.5 8.5 8.5 8.3 7.7 7.6 7.3 7.0 6.8 6.9 6.9 6.7 6.5 6.2 6.2 6.1 6.9 6.3 6.3 6.2 5.9 6.7 6.1 5.1 20032003 7.9 8.0 8.0 8.0 7.9 8.1 8.2 8.2 8.2 8.0 7.4 7.3 7.0 6.7 6.5 6.6 6.6 6.3 6.2 5.8 5.8 5.7 6.3 5.7 5.6 5.4 5.1 5.5 4.6 3.4 1.8 20042004 7.7 7.7 7.7 7.7 7.7 7.8 8.0 7.9 7.9 7.7 7.1 7.1 6.8 6.5 6.3 6.3 6.3 6.0 5.8 5.5 5.4 5.3 5.8 5.2 5.1 4.9 4.5 4.7 3.9 2.8 1.8 1.7 20052005 7.5 7.6 7.6 7.6 7.5 7.6 7.8 7.7 7.7 7.5 6.9 6.9 6.5 6.2 6.0 6.1 6.0 5.8 5.6 5.2 5.2 5.1 5.5 5.0 4.8 4.6 4.2 4.3 3.6 2.7 2.0 2.1 2.4 20062006 7.4 7.5 7.5 7.4 7.4 7.5 7.6 7.6 7.5 7.3 6.8 6.7 6.4 6.1 6.0 5.9 5.9 5.7 5.5 5.2 5.1 5.0 5.4 4.9 4.8 4.5 4.2 4.3 3.7 3.0 2.5 2.7 3.3 4.1 20072007 7.4 7.4 7.4 7.4 7.4 7.5 7.6 7.6 7.5 7.3 6.8 6.7 6.4 6.2 6.0 6.0 6.0 5.8 5.6 5.3 5.2 5.1 5.5 5.0 4.9 4.7 4.5 4.6 4.1 3.6 3.3 3.7 4.4 5.4 6.6 20082008 7.3 7.4 7.4 7.4 7.4 7.5 7.6 7.5 7.5 7.3 6.8 6.7 6.4 6.2 6.0 6.0 6.0 5.8 5.6 5.3 5.3 5.2 5.6 5.1 5.0 4.9 4.7 4.8 4.4 4.0 3.8 4.2 4.9 5.7 6.5 6.4 20092009 7.2 7.2 7.2 7.2 7.2 7.3 7.3 7.3 7.2 7.0 6.6 6.5 6.2 6.0 5.8 5.8 5.8 5.6 5.4 5.1 5.0 5.0 5.3 4.9 4.8 4.6 4.3 4.4 4.0 3.7 3.5 3.7 4.2 4.6 4.8 3.8 1.3 20102010 7.0 7.1 7.1 7.0 7.0 7.1 7.2 7.1 7.1 6.9 6.4 6.3 6.1 5.8 5.6 5.6 5.6 5.4 5.2 4.9 4.9 4.8 5.1 4.7 4.6 4.4 4.1 4.2 3.8 3.5 3.3 3.5 3.8 4.1 4.1 3.2 1.7 2.0 20112011 6.9 7.0 6.9 6.9 6.9 6.9 7.0 7.0 6.9 6.7 6.3 6.2 5.9 5.7 5.5 5.5 5.4 5.2 5.1 4.8 4.7 4.6 4.9 4.5 4.4 4.2 4.0 4.0 3.7 3.3 3.1 3.3 3.5 3.7 3.6 2.9 1.7 1.9 1.9 20122012 6.8 6.8 6.8 6.7 6.7 6.8 6.8 6.8 6.7 6.5 6.1 6.0 5.7 5.5 5.3 5.3 5.2 5.0 4.9 4.6 4.5 4.4 4.7 4.3 4.2 4.0 3.8 3.8 3.4 3.1 2.9 3.1 3.2 3.3 3.2 2.5 1.6 1.7 1.5 1.1

1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

BALANCED STRATEGy: FIXED100% fIxeD IncoMe

1973–2012: Total Returns (%)

BALANCED STRATEGy: CONSERVATIVE20% equITY, 80% fIxeD IncoMe

1973–2012: Total Returns (%)

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

1973

$14

1926 2012

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

1973

$24

1926 2012

Page 33: Dfa matrix book us_2013 - copy

DIMENSIONAL FUND ADVISORS MATRIX BOOK 201362 63

gloBal allocaTIon

25/75

gloBal allocaTIon

60/40

gloBal equITY

SelecTIvelY HeDgeD gloBal

equITY

uS STockS 16% 39% 64% 42%

coRe eqUity 1 StRategy 4% 10% 16%

coRe eqUity 2 StRategy 12% 28% 46% 42%

Real eState StRategy 0.4% 0.9% 1.5%

InTeRnaTIonal STockS 7% 16% 27% 39%

inteRnational coRe StRategy

eMeRgIng MaRkeTS STockS 2% 5% 9% 19%

emeRging maRketS coRe StRategy

fIxeD IncoMe 75% 40% 0% 0%

tWo-yeaR global StRategy 30%

five-yeaR global StRategy 5%

inflation-pRotecteD SecURitieS StRategy 11% 2%

Selectively HeDgeD global StRategy 15%

SHoRt-teRm extenDeD qUality StRategy 30% 10%

inteRmeDiate-teRm extenDeD qUality StRategy 5%

WoRlD ex US goveRnment StRategy 4% 3%

As of December 31, 2012.Diversification neither guarantees a profit nor prevents a loss.

Dimensional’s global strategies are designed to focus the world’s investing opportunities into a set of cost-aware options for investors. Consistent and efficient access to markets and broad diversification are its hallmarks.

The underlying core equity strategies in the US, international, and emerging markets allocations combine marketwide stock coverage with continuous access to the dimensions of higher expected returns, rendering a powerful and cost-efficient alternative to a component-based approach. Benefits may include improved market coverage, less frequent rebalancing and trading, lower operating costs, and reduced tax impact.

STRaTegY WeIgHTS

GLOBAL STRATEGIES

BALANCED STRATEGy: EqUITy100% equITY

1973–2012: Total Returns (%)

BALANCED STRATEGy: AGGRESSIVE80% equITY, 20% fIxeD IncoMe

1973–2012: Total Returns (%)

19731973 -18.3 19741974 -20.7 -22.9 19751975 -2.2 7.0 48.4 19761976 5.2 14.5 39.5 31.1 19771977 7.7 15.4 32.0 24.4 18.2 19781978 10.3 17.1 30.0 24.4 21.1 24.2 19791979 11.8 17.8 28.2 23.6 21.3 22.8 21.5 19801980 13.7 19.3 28.3 24.6 23.0 24.7 24.9 28.4 19811981 13.0 17.6 25.0 21.4 19.6 20.0 18.6 17.2 6.9 19821982 13.4 17.6 23.9 20.8 19.1 19.3 18.2 17.1 11.8 16.9 19831983 15.0 19.0 24.9 22.2 21.0 21.5 21.0 20.8 18.4 24.6 32.8 19841984 14.4 18.0 23.1 20.6 19.4 19.5 18.8 18.2 15.8 19.0 20.0 8.5 19851985 16.0 19.5 24.3 22.1 21.2 21.6 21.2 21.1 19.7 23.2 25.3 21.7 36.6 19861986 16.9 20.1 24.7 22.7 21.9 22.3 22.1 22.2 21.2 24.2 26.2 24.0 32.6 28.7 19871987 16.5 19.5 23.6 21.7 20.9 21.1 20.8 20.7 19.7 21.9 22.9 20.6 24.9 19.5 10.9 19881988 17.1 19.9 23.8 22.0 21.3 21.6 21.4 21.3 20.5 22.6 23.5 21.8 25.3 21.8 18.5 26.6 19891989 17.6 20.3 24.0 22.4 21.7 22.0 21.8 21.9 21.2 23.1 24.0 22.6 25.6 23.0 21.2 26.7 26.7 19901990 15.5 17.9 21.1 19.5 18.7 18.7 18.3 18.0 17.0 18.2 18.3 16.4 17.8 14.3 11.0 11.1 4.0 -14.6 19911991 16.2 18.5 21.6 20.1 19.4 19.5 19.1 18.9 18.1 19.3 19.5 18.0 19.4 16.8 14.5 15.4 11.9 5.2 29.6 19921992 15.9 18.0 20.8 19.4 18.7 18.7 18.3 18.1 17.3 18.3 18.4 16.9 18.0 15.6 13.5 14.0 11.1 6.3 18.6 8.6 19931993 16.5 18.6 21.3 20.0 19.3 19.4 19.1 18.9 18.2 19.2 19.4 18.2 19.3 17.3 15.8 16.6 14.7 11.8 22.4 18.9 30.3 19941994 15.9 17.8 20.3 19.0 18.4 18.4 18.0 17.8 17.1 17.9 18.0 16.7 17.6 15.7 14.1 14.6 12.7 10.1 17.3 13.5 16.1 3.4 19951995 16.1 18.0 20.4 19.2 18.6 18.6 18.3 18.1 17.4 18.2 18.3 17.2 18.0 16.3 15.0 15.5 14.0 12.1 18.3 15.7 18.1 12.5 22.3 19961996 16.3 18.1 20.4 19.2 18.6 18.7 18.4 18.2 17.6 18.3 18.4 17.4 18.2 16.6 15.5 16.0 14.7 13.1 18.5 16.4 18.5 14.8 21.0 19.6 19971997 16.3 18.0 20.2 19.1 18.5 18.6 18.3 18.1 17.5 18.2 18.3 17.3 18.0 16.6 15.6 16.0 14.9 13.5 18.2 16.4 18.1 15.2 19.4 18.0 16.4 19981998 15.9 17.5 19.6 18.5 17.9 17.9 17.6 17.4 16.8 17.4 17.5 16.5 17.1 15.7 14.7 15.0 13.9 12.6 16.6 14.8 15.9 13.2 15.8 13.7 10.9 5.6 19991999 16.1 17.6 19.7 18.6 18.1 18.1 17.8 17.6 17.1 17.6 17.7 16.8 17.4 16.1 15.2 15.6 14.6 13.5 17.1 15.6 16.7 14.6 16.9 15.6 14.3 13.3 21.5 20002000 15.5 17.0 18.9 17.8 17.3 17.2 16.9 16.7 16.2 16.7 16.7 15.8 16.3 15.0 14.1 14.3 13.4 12.2 15.3 13.9 14.5 12.5 14.0 12.5 10.7 8.9 10.6 0.6 20012001 14.9 16.3 18.1 17.1 16.6 16.5 16.2 15.9 15.4 15.8 15.8 14.9 15.3 14.0 13.1 13.3 12.3 11.2 13.9 12.4 12.9 10.9 12.0 10.4 8.6 6.7 7.1 0.5 0.4 20022002 13.9 15.2 16.9 15.8 15.3 15.2 14.8 14.5 13.9 14.3 14.2 13.3 13.5 12.3 11.3 11.4 10.4 9.2 11.5 9.9 10.1 8.0 8.6 6.8 4.8 2.6 1.9 -3.9 -6.1 -12.3 20032003 14.9 16.2 17.8 16.9 16.4 16.3 16.0 15.8 15.2 15.6 15.6 14.8 15.1 14.0 13.2 13.4 12.5 11.6 13.9 12.7 13.1 11.5 12.4 11.2 10.1 9.0 9.7 7.0 9.2 13.8 47.7 20042004 15.1 16.4 18.0 17.0 16.6 16.5 16.2 16.0 15.5 15.9 15.9 15.1 15.5 14.5 13.7 13.9 13.1 12.3 14.5 13.4 13.8 12.4 13.4 12.4 11.6 10.9 11.8 9.9 12.4 16.7 34.6 22.6 20052005 15.0 16.2 17.8 16.9 16.4 16.4 16.1 15.9 15.4 15.8 15.7 15.0 15.3 14.3 13.6 13.8 13.1 12.3 14.3 13.3 13.7 12.4 13.3 12.4 11.6 11.0 11.8 10.3 12.4 15.6 26.7 17.3 12.2 20062006 15.3 16.5 18.0 17.1 16.7 16.6 16.4 16.2 15.8 16.1 16.1 15.4 15.7 14.8 14.2 14.3 13.7 13.0 15.0 14.1 14.5 13.3 14.2 13.5 12.9 12.5 13.4 12.3 14.4 17.4 26.2 19.8 18.4 24.9 20072007 14.9 16.1 17.5 16.7 16.2 16.2 15.9 15.7 15.2 15.6 15.5 14.9 15.1 14.2 13.6 13.7 13.1 12.4 14.2 13.3 13.6 12.5 13.3 12.6 11.9 11.5 12.2 11.0 12.6 14.8 21.1 15.3 12.9 13.3 2.7 20082008 12.7 13.7 15.0 14.2 13.7 13.5 13.2 12.9 12.4 12.6 12.4 11.7 11.8 10.9 10.1 10.1 9.3 8.5 9.9 8.9 8.9 7.6 7.9 6.8 5.8 4.9 4.9 3.2 3.5 3.9 6.9 0.2 -4.7 -9.8 -23.3 -42.7 20092009 13.4 14.4 15.7 14.9 14.4 14.3 14.0 13.8 13.3 13.5 13.4 12.7 12.9 12.0 11.3 11.3 10.7 9.9 11.4 10.5 10.6 9.4 9.9 9.0 8.2 7.6 7.8 6.5 7.2 8.0 11.3 6.1 3.1 1.0 -5.9 -10.0 41.5 20102010 13.6 14.6 15.9 15.1 14.6 14.5 14.2 14.0 13.6 13.8 13.7 13.0 13.2 12.4 11.7 11.8 11.1 10.4 11.9 11.0 11.2 10.1 10.6 9.8 9.1 8.6 8.9 7.8 8.5 9.5 12.5 8.2 6.0 4.8 0.3 -0.5 31.2 21.6 20112011 13.0 14.0 15.2 14.4 13.9 13.8 13.5 13.3 12.8 13.0 12.9 12.2 12.4 11.5 10.9 10.9 10.3 9.6 10.9 10.0 10.1 9.1 9.4 8.6 7.9 7.4 7.5 6.4 6.9 7.6 10.1 6.1 3.9 2.6 -1.3 -2.3 16.7 6.0 -7.6 20122012 13.2 14.1 15.3 14.5 14.1 14.0 13.7 13.5 13.0 13.2 13.1 12.5 12.6 11.8 11.2 11.2 10.6 10.0 11.2 10.4 10.5 9.6 9.9 9.2 8.6 8.1 8.3 7.4 7.9 8.6 11.0 7.5 5.8 4.9 1.9 1.7 17.4 10.3 5.1 19.6

1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

19731973 -13.8 19741974 -15.6 -17.3 19751975 -0.1 7.5 39.8 19761976 5.9 13.5 33.0 26.5 19771977 7.7 13.9 26.8 20.7 15.3 19781978 9.7 15.2 25.1 20.6 17.7 20.2 19791979 11.0 15.8 23.8 20.1 18.1 19.6 18.9 19801980 12.6 17.0 24.0 21.0 19.7 21.2 21.7 24.6 19811981 12.1 15.9 21.6 18.8 17.3 17.8 17.1 16.1 8.3 19821982 12.7 16.1 21.1 18.6 17.4 17.8 17.2 16.6 12.9 17.7 19831983 13.9 17.2 21.8 19.7 18.8 19.4 19.2 19.3 17.6 22.6 27.7 19841984 13.6 16.5 20.5 18.6 17.6 17.9 17.6 17.3 15.5 18.1 18.3 9.6 19851985 14.9 17.7 21.5 19.8 19.1 19.6 19.5 19.6 18.6 21.3 22.6 20.1 31.6 19861986 15.6 18.2 21.8 20.2 19.6 20.1 20.1 20.3 19.6 22.0 23.1 21.6 28.2 24.9 19871987 15.2 17.6 20.9 19.4 18.8 19.2 19.0 19.1 18.3 20.0 20.5 18.8 22.0 17.5 10.6 19881988 15.7 17.9 21.0 19.6 19.1 19.4 19.4 19.4 18.8 20.4 20.8 19.5 22.1 19.1 16.3 22.4 19891989 16.1 18.3 21.1 19.9 19.4 19.8 19.7 19.8 19.3 20.7 21.2 20.1 22.3 20.1 18.6 22.8 23.2 19901990 14.4 16.4 18.9 17.6 17.0 17.1 16.9 16.7 15.9 16.8 16.7 15.2 16.2 13.4 10.6 10.6 5.2 -10.2 19911991 15.0 16.9 19.3 18.1 17.6 17.7 17.5 17.4 16.8 17.7 17.7 16.5 17.5 15.3 13.5 14.3 11.7 6.3 25.8 19921992 14.7 16.4 18.6 17.5 17.0 17.1 16.8 16.7 16.1 16.8 16.7 15.5 16.3 14.3 12.6 13.0 10.8 6.9 16.6 8.1 19931993 15.1 16.8 19.0 17.9 17.4 17.6 17.4 17.3 16.7 17.5 17.4 16.5 17.3 15.6 14.3 14.9 13.5 11.2 19.4 16.3 25.2 19941994 14.6 16.1 18.1 17.1 16.6 16.6 16.4 16.3 15.7 16.3 16.2 15.2 15.7 14.1 12.8 13.1 11.7 9.5 15.0 11.7 13.5 2.9 19951995 14.8 16.3 18.2 17.2 16.7 16.8 16.6 16.5 16.0 16.5 16.5 15.6 16.1 14.7 13.6 14.0 12.8 11.2 16.0 13.7 15.6 11.1 20.1 19961996 14.9 16.3 18.1 17.2 16.8 16.8 16.6 16.5 16.0 16.6 16.5 15.7 16.2 14.9 13.9 14.3 13.3 12.0 16.2 14.3 15.9 13.0 18.5 16.9 19971997 14.9 16.2 18.0 17.1 16.6 16.7 16.5 16.4 15.9 16.4 16.4 15.6 16.1 14.9 14.0 14.3 13.5 12.3 15.9 14.4 15.7 13.4 17.1 15.7 14.6 19981998 14.5 15.8 17.5 16.6 16.2 16.2 16.0 15.9 15.4 15.8 15.7 14.9 15.3 14.2 13.3 13.6 12.7 11.6 14.7 13.2 14.1 12.0 14.4 12.5 10.4 6.4 19991999 14.6 15.9 17.5 16.6 16.2 16.3 16.1 15.9 15.5 15.9 15.8 15.1 15.5 14.4 13.7 13.9 13.2 12.2 15.0 13.8 14.6 12.9 15.0 13.8 12.8 11.9 17.8 20002000 14.2 15.4 16.9 16.0 15.6 15.6 15.4 15.3 14.8 15.2 15.0 14.3 14.6 13.6 12.8 13.0 12.2 11.3 13.7 12.4 13.0 11.3 12.8 11.4 10.0 8.6 9.7 2.2 20012001 13.7 14.9 16.3 15.4 15.0 15.0 14.8 14.6 14.2 14.5 14.3 13.6 13.8 12.8 12.0 12.2 11.4 10.5 12.6 11.3 11.7 10.1 11.2 9.8 8.4 6.9 7.1 2.1 2.0 20022002 12.9 14.0 15.3 14.4 14.0 14.0 13.7 13.5 13.0 13.2 13.0 12.3 12.4 11.4 10.6 10.6 9.8 8.9 10.6 9.3 9.4 7.8 8.5 6.9 5.3 3.6 2.9 -1.7 -3.5 -8.7 20032003 13.6 14.7 16.0 15.2 14.8 14.8 14.6 14.4 14.0 14.2 14.1 13.4 13.6 12.7 12.0 12.1 11.5 10.7 12.5 11.4 11.7 10.5 11.4 10.3 9.4 8.6 9.0 6.9 8.6 12.0 37.4 20042004 13.8 14.8 16.0 15.3 14.9 14.9 14.7 14.5 14.1 14.4 14.3 13.7 13.9 13.0 12.4 12.5 11.9 11.2 12.9 11.9 12.3 11.2 12.0 11.2 10.5 9.9 10.5 9.1 10.9 14.0 27.5 18.2 20052005 13.6 14.6 15.9 15.1 14.8 14.7 14.5 14.4 14.0 14.2 14.1 13.5 13.7 12.9 12.3 12.4 11.8 11.1 12.7 11.8 12.1 11.1 11.9 11.1 10.4 9.9 10.5 9.3 10.8 13.1 21.4 14.2 10.3 20062006 13.8 14.8 16.0 15.3 14.9 14.9 14.8 14.6 14.2 14.5 14.3 13.8 14.0 13.2 12.7 12.8 12.3 11.6 13.2 12.4 12.7 11.8 12.6 11.9 11.4 11.1 11.7 10.8 12.3 14.5 21.2 16.3 15.3 20.6 20072007 13.5 14.5 15.6 14.9 14.6 14.5 14.3 14.2 13.8 14.0 13.9 13.4 13.5 12.8 12.2 12.3 11.8 11.2 12.6 11.8 12.1 11.2 11.8 11.2 10.7 10.3 10.7 9.9 11.0 12.6 17.5 13.0 11.3 11.8 3.6 20082008 11.8 12.7 13.7 13.0 12.6 12.5 12.2 12.0 11.6 11.7 11.5 10.9 10.9 10.1 9.5 9.4 8.8 8.1 9.3 8.3 8.4 7.3 7.6 6.8 5.9 5.2 5.1 3.8 4.0 4.2 6.6 1.3 -2.5 -6.5 -17.6 -34.5 20092009 12.4 13.2 14.2 13.5 13.2 13.1 12.9 12.7 12.3 12.4 12.2 11.7 11.8 11.0 10.4 10.4 9.9 9.3 10.4 9.6 9.7 8.8 9.2 8.5 7.8 7.3 7.4 6.4 6.9 7.5 10.0 6.0 3.8 2.2 -3.3 -6.5 33.4 20102010 12.5 13.3 14.3 13.6 13.3 13.2 13.0 12.8 12.5 12.6 12.4 11.9 12.0 11.3 10.7 10.7 10.2 9.7 10.8 10.0 10.1 9.3 9.7 9.1 8.5 8.1 8.2 7.4 7.9 8.6 11.0 7.7 6.0 5.2 1.6 1.0 25.4 17.8 20112011 12.0 12.8 13.7 13.1 12.7 12.6 12.4 12.2 11.8 12.0 11.8 11.2 11.3 10.6 10.0 10.0 9.5 8.9 9.9 9.2 9.2 8.4 8.8 8.1 7.5 7.0 7.1 6.3 6.6 7.1 9.0 5.9 4.3 3.3 0.2 -0.7 14.1 5.5 -5.5 20122012 12.1 12.8 13.8 13.1 12.8 12.7 12.5 12.3 12.0 12.1 11.9 11.4 11.5 10.8 10.3 10.2 9.8 9.2 10.2 9.5 9.6 8.8 9.1 8.5 8.0 7.6 7.7 7.0 7.4 7.9 9.7 7.0 5.6 5.0 2.6 2.4 14.5 8.9 4.6 15.8

1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

1973

$96

1926 2012

$100,000

$10,000

$1,000

$100

$10

$1

$0

GROWTH OF $1

1973

$141

1926 2012

Page 34: Dfa matrix book us_2013 - copy

DIMENSIONAL FUND ADVISORS MATRIX BOOK 201364 65

caPITalIzaTIon oveR TIMe

This cartogram illustrates the balance of equity investment opportunities around the world, with each country sized according to its relative market capitalization. Of course, this is just a snapshot in time. The world is in motion, and markets are continually adjusting to changing expectations that ride on bits and waves of new information. The change can be gradual or sudden. But this dynamic landscape also offers a testament to the increased flow of data and quickened response of market participants.

As global competition intensifies, securities prices hasten toward equilibrium. This view of the world has profound implications. Rather than trying to predict the future direction of markets, Dimensional builds strategies that seek diversified access to the dimensions of higher expected returns around the world. Capital flows to markets offering the best expected returns. Dimensional will be there to help investors pursue opportunity.

kuwait 36

greece 30

Uae 29

egypt 28

nigeria 26

portugal 24

qatar 20

morocco 13

vietnam 13

czech Republic 13

pakistan 12

argentina 12

Hungary 12

oman 7

kenya 6

kazakhstan 6

Sri lanka 5

croatia 5

jordan 4

bahrain 4

Slovenia 3

mauritius 3

Ukraine 3

tunisia 3

lebanon 3

Romania 2

bulgaria 1

lithuania 1

estonia 1

norway 124

turkey 113

israel 99

poland 83

philippines 79

colombia 79

peru 68

ireland 52

austria 51

new zealand 43

caPITalIzaTIon BY aSSeT claSS ($ TRIllIonS)

US $17

46%

Developed ex US $15

39%

emerging $5

14%

not invested $0.4

1%

caPITalIzaTIon BY naTIon ($ BIllIonS)

in US dollars. market cap data is free-float adjusted from bloomberg Securities Data. many small nations not displayed. totals may not equal 100% due to rounding. for educational purposes; should not be used as investment advice. Dimensional makes case-by-case determinations about the suitability of investing in each emerging market, making considerations that include local market accessibility, government stability, and property rights, before making investments. 1. an example large cap stock provided for comparison.

United States 17,122

United kingdom 2,789

japan 2,710

canada 1,629

australia 1,185

france 1,109

germany 1,073

Switzerland 1,025

china 893

South korea 816

taiwan 660

brazil 609

Hong kong 470

Sweden 432

india 409

Spain 388

South africa 359

netherlands 335

Russia 334

italy 312

Singapore 277

mexico 243

malaysia 176

indonesia 176

Saudi arabia 154

belgium 153

Denmark 147

thailand 142

finland 129

chile 125

$37.5 TRIllIon aS of DeceMBeR 31, 2012

WORLD mARKET CAPITALIZATION

WHeRe DIMenSIonal InveSTS: ■■ DEVELOPED MARkETS ■ EMERgIng MARkETS ■ nOT InVESTED

MSFT1

$225B

BRAZIL$609B

2%

IRELAND$52B

NORWAY$124B

BELGIUM$153B

DENMARK$147B

AUSTRIA$51B

POLAND$83B

CZECH REPUBLIC$13B

HUNGARY$12B

TURKEY$113B

ISRAEL$99B

SAUDI ARABIA

$154B

UNITED STATES$17,122B

46%

CANADA$1,629B 4%

MEXICO$243B

1%

CHILE$125B

UNITED KINGDOM$2,789B

7%

JAPAN$2,710B

7%

AUSTRALIA$1,185B

3%NEW ZEALAND$43B

SWEDEN$432B

1%

FINLAND$129B

RUSSIA$334B

1%

PORTUGAL$24B

SPAIN$388B

1%

FRANCE$1,109B

3%

NETHERLANDS$335B

1%GERMANY

$1,073B

3%

SWITZERLAND$1,025B

3%

ITALY$312B

1%

GREECE$30B

TAIWAN$660B

2%

SOUTHKOREA$816B

2%

CHINA$893B

2%

HONG KONG$470B

1%INDIA$409B

1%THAILAND$142B

MALAYSIA$176B

SINGAPORE$277B

1%

PHILIPPINES$79B

INDONESIA$176B

SOUTHAFRICA

$359B

1%

COLOMBIA$79B

PERU$68B

ARGENTINA

MOROCCOEGYPT$28B

OTHERAFRICAN NATIONS

PAKISTAN

LEBANON

JORDAN

KUWAIT

BAHRAINQATAR

UAEOMAN

SRI LANKA

VIETNAM

OTHEREUROPEANNATIONS

2008$22.8 trillion

-44%2009

$31.0 trillion

+36%2010

$35.5 trillion

+14%2011

$31.6 trillion

-11%2012

$37.5 trillion

+18%

Page 35: Dfa matrix book us_2013 - copy

DIMENSIONAL FUND ADVISORS MATRIX BOOK 201366 67

DIMENSIONAL INTERNATIONAL VECTOR INDEXDimensional International Vector Index compiled by Dimensional from Bloomberg securities data. The index has been retroactively calculated by Dimensional and did not exist prior to May 2008. Includes securities of MSCI World ex USA countries. Rather than weighting by market capitalization, the index overweights securities of small and value companies to a greater degree than does the Dimensional International Adjusted Market Index. Utilities are treated as having no value tilt, and REITs are excluded. Maximum index weight of any one company is capped at 5%.

FAMA/FRENCH INTERNATIONAL VALUE INDEX2008–present: Fama/French International Value Index provided by Fama/French

from Bloomberg securities data. Simulated strategy of MSCI EAFE countries in the upper 30% book-to-market range. 1975–2007: Provided by Fama/French from MSCI securities data.

DIMENSIONAL INTERNATIONAL SMALL CAP GROWTH INDEX Dimensional International Small Cap Growth Index compiled by Dimensional from Bloomberg securities data. The index has been retroactively calculated by Dimensional and did not exist prior to December 2012. The index focuses on small cap companies with a high relative price. Small cap companies are defined as those in the bottom 10% of a country's market. High relative price is defined as the top 50% of price-to-book by market capitalization within a country. The index excludes REITs, utilities, and companies with the lowest profitability. Profitability is defined as operating income before depreciation and amortization minus interest expense scaled by book value. Rebalanced semi-annually.

DIMENSIONAL INTERNATIONAL SMALL CAP INDEX 1994–present: Dimensional International Small Cap Index compiled by

Dimensional from Bloomberg securities data. The index has been retroactively calculated by Dimensional and did not exist prior to December 2004. Includes securities of MSCI World ex US countries in the bottom 10% range of market capitalization; market-capitalization weighted; each company is capped at 5%; rebalanced annually.

July 1981–1993: Compiled by Dimensional from StyleResearch securities data. Includes securities in the bottom 10% range of market capitalization, excluding the bottom 1%; market-capitalization weighted; each country is capped at 50%; rebalanced semiannually.

1970–June 1981: 50% Elroy Dimson and Paul Marsh, Hoare Govett Smaller Companies Index 2009, ABN-AMRO / Royal Bank of Scotland, January 2009; 50% Nomura Japanese Small Companies Index.

DIMENSIONAL INTERNATIONAL SMALL CAP VALUE INDEX1994–present: Dimensional International Small Cap Value Index compiled by

Dimensional from StyleResearch securities data. The index has been retroactively calculated by Dimensional and did not exist prior to February 2006. Includes securities of MSCI World ex US countries in the bottom 10% range of market capitalization and in the upper 30% book-to-market range; market-capitalization weighted; each company is capped at 5%; excludes REITs and utilities; rebalanced annually.

1982–1993: Compiled by Dimensional from StyleResearch securities data. Includes securities in the bottom 10% range of market capitalization, excluding the bottom 1%, and in the upper 30% book-to-market range; market-capitalization weighted; each country is capped at 50%; rebalanced semiannually.

MSCI EMERGING MARKETS INDEXMSCI Emerging Markets Index (gross dividends) copyright MSCI 2013, all rights reserved.

DIMENSIONAL EMERGING MARKETS ADJUSTED MARKET INDEXDimensional Emerging Markets Adjusted Market Index compiled by Dimensional from Bloomberg securities data. The index has been retroactively calculated by Dimensional and did not exist prior to April 2009. Countries included are Brazil, Chile, China, Czech Republic, Hungary, India, Indonesia, Israel, Korea, Malaysia, Mexico, Philippines, Poland, South Africa, Taiwan, Thailand, and Turkey. Maximum index weight of any one company is capped at 5%. Rather than weighting by market capitalization, the index overweights securities of small and value companies. Utilities are treated as having no value tilt, and REITs are excluded.

DIMENSIONAL EMERGING MARKETS GROWTH INDEXDimensional Emerging Markets Growth Index compiled by Dimensional from Bloomberg securities data. The index has been retroactively calculated by Dimensional and did not exist prior to December 2012. The index focuses on large and small cap companies with a high relative price. Large and small cap companies are defined as the top 92% of a country's market. High relative price is defined as the top 50% of price-to-book by market capitalization within a country. The index excludes REITs, utilities, and companies with the lowest profitability. Profitability is defined as operating income before depreciation and amortization minus interest expense scaled by book value. The index overweights higher expected return securities (higher profitability, lower relative price, and mid-market cap). Rebalanced semi-annually.

FIXED INCOMEONE-MONTH US TREASURY BILLS© 2012 and earlier, Morningstar. All Rights Reserved. Underlying data is from the Ibbotson SBBI Yearbook, by Roger G. Ibbotson and Rex A. Sinquefield. Updated annually.

LONG-TERM GOVERNMENT BONDS© 2012 and earlier, Morningstar. All Rights Reserved. Underlying data is from the Ibbotson SBBI Yearbook, by Roger G. Ibbotson and Rex A. Sinquefield. Updated annually. Includes US government bonds with an average maturity of 20 years.

LONG-TERM CORPORATE BONDS© 2012 and earlier, Morningstar. All Rights Reserved. Underlying data is from the Ibbotson SBBI Yearbook, by Roger G. Ibbotson and Rex A. Sinquefield. Updated annually. Includes US corporate bonds with an average maturity of 20 years.

BARCLAYS US TIPS INDEX Provided by Barclays Bank PLC.

ONE-MONTH CERTIFICATES OF DEPOSITProvided by the Federal Reserve Statistical Release H.15: Selected Interest Rates. The Statistical Release H.15 contains daily interest rates for selected US Treasury and private money market and capital market instruments. Monthly return calculated by Dimensional using actual/360 methodology.

BARCLAYS US AGGREGATE BOND INDEXProvided by Barclays Bank PLC.

BARCLAYS MUNICIPAL BOND INDEXProvided by Barclays Bank PLC.

DIMENSIONAL US INTERMEDIATE VARIABLE CREDIT INDEXCompiled by Dimensional using data provided by Barclays Bank PLC. Includes securities in the Barclays Intermediate Credit AAA, AA, A, and BBB indices. The index has been retroactively calculated by Dimensional and did not exist prior to December 2012. Securities can be over- or under-weighted with respect to their market cap weight based on credit spreads. When the difference in yields between AAA+AA and A+BBB is narrow, AAA+AA bonds may be held above market cap weight. When the difference in yields between AAA+AA and A+BBB is wide, AAA+AA bonds may be held below market cap weight. When the difference in yields between AAA+AA and BBB is narrow, BBB bonds may be held below market cap weight. When the difference in yields between AAA+AA and BBB is wide, BBB bonds may be held above market cap weight. Rebalanced monthly.

US EQUITIES

S&P 500 INDEXProvided by Standard & Poor’s Index Services Group. “Standard & Poor’s®,” “S&P®,” “S&P 500®,” Standard & Poor’s 500®,” and “500” are trademarks of the McGraw-Hill Companies, Inc. and have been licensed for use by Dimensional Fund Advisors.

FAMA/FRENCH TOTAL US MARKET INDEXFama/French Total US Market Index provided by Fama/French from CRSP securities data.1 Includes all NYSE securities (plus NYSE Amex equivalents since July 1962 and Nasdaq equivalents since 1973), including utilities.

DIMENSIONAL US ADJUSTED MARKET 1 INDEXDimensional US Adjusted Market 1 Index compiles all the securities of US companies traded on the NYSE, NYSE Amex, Nasdaq NMS, Nasdaq Global, and Nasdaq Global Select Market. The index has been retroactively calculated by Dimensional and did not exist prior to February 2007. Rather than weighting by market capitalization, the index overweights securities of small and value companies.

DIMENSIONAL US ADJUSTED MARKET 2 INDEXDimensional US Adjusted Market 2 Index compiles all the securities of US companies traded on the NYSE, NYSE Amex, Nasdaq NMS, Nasdaq Global, and Nasdaq Global Select Market. The index has been retroactively calculated by Dimensional and did not exist prior to February 2007. Rather than weighting by market capitalization, the index overweights securities of small and value companies to a greater degree than does the Dimensional US Adjusted Market 1 Index.

DIMENSIONAL US ADJUSTED MARKET VALUE INDEXDimensional US Adjusted Market Value Index compiles all the securities of US companies traded on the NYSE, NYSE Amex, Nasdaq NMS, Nasdaq Global, and Nasdaq Global Select Market. The index has been retroactively calculated by Dimensional and did not exist prior to February 2007. Rather than weighting by market capitalization, the index overweights securities of small and value companies to a greater degree than the Dimensional US Adjusted Market 2 Index does.

DIMENSIONAL US LARGE CAP GROWTH INDEXDimensional US Large Cap Growth Index compiled by Dimensional from CRSP1 and Compustat data. The index has been retroactively calculated by Dimensional and did not exist prior to December 2012. The index focuses on large cap companies with a high relative price. High relative price is defined as the top 50% of price-to-book by market capitalization. The index excludes REITs, utilities, and companies with the lowest profitability within the large cap growth universe. Profitability is defined as operating income before depreciation and amortization minus interest expense scaled by book value. The index overweights higher expected return securities (higher profitability, lower relative price, and midmarket cap). Rebalanced annually.

DIMENSIONAL US SMALL CAP GROWTH INDEXDimensional US Small Cap Growth Index compiled by Dimensional from CRSP1 and Compustat data. The index has been retroactively calculated by Dimensional and did not exist prior to December 2012. The index focuses on small cap companies with a high relative price. High relative price is defined as the top 50% of price-to-book by market capitalization. The index excludes REITs, utilities, and companies with the lowest profitability within the small cap growth universe. Profitability is defined as operating income before depreciation and amortization minus interest expense scaled by book value. Rebalanced annually.

FAMA/FRENCH US LARGE VALUE RESEARCH INDEXFama/French US Large Value Index provided by Fama/French from CRSP securities data.1 Includes the upper-half range in market cap and the upper 30% in book-to-market of NYSE securities (plus NYSE Amex equivalents since July 1962 and Nasdaq equivalents since 1973).

FAMA/FRENCH US SMALL VALUE RESEARCH INDEXFama/French US Small Value Index provided by Fama/French from CRSP securities data.1 Includes the lower-half range in market cap and the upper 30% in book-to-market of NYSE securities (plus NYSE Amex equivalents since July 1962 and Nasdaq equivalents since 1973).

DIMENSIONAL US TARGETED VALUE INDEXDimensional US Targeted Value Index is a market-capitalization weighted index of securities of small and mid cap value companies. These are defined as companies whose market capitalization falls below that of the 500th (for mid) or 1,000th (for small) largest company in the eligible market, and whose book-to-market ratio falls in the top 25% (for mid) or 50% (for small) of the market capitalization of the size range after the exclusion of utilities, companies lacking financial data, and companies with negative book-to-market ratio. The eligible market is composed of securities of US companies traded on the NYSE, AMEX, and Nasdaq Global Market, excluding non-US companies, REITs, UITs, and investment companies. The index has been retroactively calculated by Dimensional and did not exist prior to February 2007.

FAMA/FRENCH US SMALL CAP INDEXFama/French US Small Cap Index provided by Fama/French from CRSP securities data.1 Includes the lower-half range in market cap of NYSE securities (plus NYSE Amex equivalents since July 1962 and Nasdaq equivalents since 1973).

DOW JONES US SELECT REIT INDEXProvided by Dow Jones Indexes.

DOW JONES-UBS COMMODITY INDEXProvided by Dow Jones Indexes.

INTERNATIONAL EQUITIESDIMENSIONAL INTERNATIONAL LARGE CAP GROWTH INDEX Dimensional International Large Cap Growth Index compiled by Dimensional from Bloomberg securities data. The index has been retroactively calculated by Dimensional and did not exist prior to December 2012. The index focuses on large cap companies with a high relative price. Large cap companies are defined as the top 90% of a country's market. High relative price is defined as the top 50% of price-to-book by market capitalization within a country. The index excludes REITs, utilities, and companies with the lowest profitability. Profitability is defined as operating income before depreciation and amortization minus interest expense scaled by book value. The index overweights higher expected return securities (higher profitability, lower relative price, and mid-market cap). Rebalanced semi-annually.

MSCI EAFE INDEXMSCI EAFE Index (net dividends) copyright MSCI 2013, all rights reserved. Without prior written permission of MSCI, this information and any other MSCI intellectual property may only be used for your internal use, may not be reproduced or redisseminated in any form, and may not be used to create any financial instruments or products or any indices. This information is provided on an “as is” basis, and the user of this information assumes the entire risk of any use made of this information. Neither MSCI nor any third party involved in or related to the computing or compiling of the data makes any express or implied warranties, representations, or guarantees concerning the MSCI index-related data, and in no event will MSCI or any third party have any liability for any direct, indirect, special, punitive, consequential, or any other damages (including lost profits) relating to any use of this information.

DIMENSIONAL INTERNATIONAL ADJUSTED MARKET INDEXDimensional International Adjusted Market Index compiled by Dimensional from Bloomberg securities data. The index has been retroactively calculated by Dimensional and did not exist prior to April 2008. Includes securities of MSCI World ex USA countries. Rather than weighting by market capitalization, the index overweights securities of small and value companies. Utilities are treated as having no value tilt, and REITs are excluded. Maximum index weight of any one company is capped at 5%.

SOURCES AND DESCRIPTIONS OF DATA

1. CRSP is the Center for Research in Security Prices, University of Chicago.

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DIMENSIONAL FUND ADVISORS MATRIX BOOK 201368 69

Dimensional fund advisors lp is an investment advisor registered with the Securities and exchange commission. the Dimensional matrix book 2013 contains copyrighted data owned by Dimensional fund advisors and/or licensed for use by Dimensional fund advisors pursuant to agreements with index data providers. this book and the data contained herein may not be reproduced, copied, modified, transferred, disclosed, or used in any way not expressly permitted by Dimensional fund advisors. any such reproduction, copying, modification, transfer, disclosure, or use may constitute a violation of the rights of Dimensional fund advisors or its licensors under the copyright laws of the United States (17 U.S.c. 101 et seq) and/or the trade Secret laws of several states and may subject the user to civil and criminal penalties as provided under these laws.

indices are not available for direct investment; therefore, their performance does not reflect the expenses associated with the management of an actual portfolio. past performance is not a guarantee of future results.

this material is solely for informational purposes and shall not constitute an offer to sell or the solicitation to buy securities. the opinions expressed herein represent the current, good faith views of the author(s) at the time of publication and are provided for limited purposes, are not definitive investment advice, and should not be relied on as such. the information presented in this article has been developed internally and/or obtained from sources believed to be reliable; however, Dimensional fund advisors does not guarantee the accuracy, adequacy or completeness of such information. predictions, opinions, and other information contained in this article are subject to change continually and without notice of any kind and may no longer be true after the date indicated. any forward-looking statements speak only as of the date they are made, and Dimensional fund advisors assumes no duty to and does not undertake to update forward-looking statements. forward-looking statements are subject to numerous assumptions, risks and uncertainties, which change over time. actual results could differ materially from those anticipated in forward-looking statements.

the returns of indices presented herein reflect hypothetical performance and do not represent returns that any investor actually attained. changes in the assumptions upon which such performance is based may have a material impact on the hypothetical returns presented. Hypothetical backtested returns have many inherent limitations. Unlike actual performance, it does not represent actual trading. Since trades have not been actually been executed, results may have under- or over-compensated for the impact, if any, of certain market factors, such as lack of liquidity, and may not reflect the impact that certain economic or market factors may have had on the decision-making process. Hypothetical backtested performance also is developed with the benefit of hindsight. other periods selected may have different results, including losses. there can be no assurance that Dimensional fund advisors will achieve profits or avoid incurring substantial losses.

Data presented in the growth of $1 charts is hypothetical and assumes reinvestment of income and no transaction costs or taxes. the charts are for illustrative purposes only and are not indicative of any investment.

equity investment risks include loss of principal and fluctuating value. Small cap securities are subject to greater volatility than those in other asset categories. international investing involves special risks such as currency fluctuation and political instability. investing in emerging markets may accentuate these risks. Sector-specific investments can also increase these risks.

fixed income risks include loss of principal and fluctuating value. fixed income securities are subject to increased loss of principal during periods of rising interest rates. fixed income investments are subject to various other risks including changes in credit quality, liquidity, prepayments, and other factors.

copyright © 2013 by Dimensional fund advisors.

DIMenSIonal uS InTeRMeDIaTe vaRIaBle goveRnMenT/cReDIT InDexcompiled by Dimensional using data provided by barclays bank plc. includes securities in the barclays intermediate government and credit aaa, aa, a, and bbb indices. the index has been retroactively calculated by Dimensional and did not exist prior to December 2012. Securities can be over- or under-weighted with respect to their market cap weight based on credit spreads. When the difference in yields between credit and government bonds is narrow, government bonds may be held above market cap weight. When the difference in yields between credit and government bonds is wide, government bonds may be held below market cap weight. When the difference in yields between aaa+aa and a+bbb is narrow, aaa+aa bonds may be held above market cap weight. When the difference in yields between aaa+aa and a+bbb is wide, aaa+aa bonds may be held below market cap weight. When the difference in yields between aaa+aa and bbb is narrow, bbb bonds may be held below market cap weight. When the difference in yields between aaa+aa and bbb is wide, bbb bonds may be held above market cap weight. Rebalanced monthly.

DIMenSIonal uS InTeRMeDIaTe vaRIaBle MaTuRITY govT/cReDIT InDexcompiled by Dimensional using data provided by barclays bank plc. includes securities in the barclays intermediate and 1-3 year government/credit indices. the index has been retroactively calculated by Dimensional and did not exist prior to December 2012. the duration is based on the term spread between intermediate government and credit bonds and 1-3 year government and credit bonds. When the difference in yields between intermediate and 1-3 year government/credit bonds is wide, the duration of the index matches the duration of the barclays intermediate government/credit index. When the difference in yields between intermediate and 1-3 year government/credit bonds is narrow, the duration of the index can be as short as the average of the barclays intermediate and 1-3 year government/credit indices. Rebalanced monthly.

DIMenSIonal gloBal InTeRMeDIaTe vaRIaBle MaTuRITY InDexcompiled by Dimensional using data copyright 2013 by citigroup. includes securities in the citigroup World government bond 1-3 years, 3-5 years, and 5-7 years indices. the index has been retroactively calculated by Dimensional and did not exist prior to December 2012. countries: austria, belgium, canada, france, germany, japan, the netherlands, new zealand, norway, Spain, Sweden, Switzerland, United kingdom, and the US as data becomes available. countries with the steepest yield curves are overweight with respect to their market cap weight. for countries included, duration corresponds to the steepest segment of that country’s yield curve. currency exposure is hedged to US dollars. Rebalanced monthly.

InflaTIonuS InflaTIon: cHangeS In uS conSuMeR PRIce InDex© Stocks, bonds, bills, and inflation yearbook™, ibbotson associates, chicago (annually updated work by Roger g. ibbotson and Rex a. Sinquefield). Used with permission. all rights reserved.

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