1 Stocks (Equity) Characteristics and Valuation What is equity? What factors affect stock prices?...
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Transcript of 1 Stocks (Equity) Characteristics and Valuation What is equity? What factors affect stock prices?...
1
Stocks (Equity)Characteristics and Valuation
What is equity?
What factors affect stock prices?
How are stock prices determined?
How are stock returns determined?
What techniques do investors use to value stocks?
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Preferred Stock FeaturesPar valueThe nominal or face value of a stock or bond
DividendsGenerally fixed, like debt; based on the par value
Cumulative dividendsPreferred dividends not paid in previous periods must
be paid before common dividends can be paid
MaturityNo specific maturity date
Priority to assets and earningsPreferred stockholders are paid before common
stockholders
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Preferred Stock Features
Control of the Firm (Voting Rights)Most preferred stock is nonvoting, unless dividends
are not paid for a particular number of periods
ConvertibilityCan be converted to common stock
Call provisionFirm has the right to call in preferred stock for
redemption
Sinking fundA fund used to retire a given amount of the stock
each year
ParticipatingShares earnings with common stockholders
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Common Stock FeaturesPar valueStockholders’ minimum financial obligation
DividendsNo legal obligation to pay dividends
MaturityNo specific maturity date
Priority to assets and earningsReceive distributions last
Preemptive rightRight to buy new issues
Control of the firmVote on board of directors, stockholder proposals,
etc.
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Types of Common Stock
Classified StockSpecial designations, such as Class A, Class
B, etc., used to meet special needs of the company
Founder’s SharesClassified stock
A class of stock owned by the firm’s founders who have sole voting rights for a particular time period
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Equity Instruments in International Markets
American Depository ReceiptsCertificates that represent ownership in
stocks of foreign companies
Foreign EquityYankee stock—issued by foreign firm and
traded in the United States
Euro stock—traded outside of “home” country, excluding the United States
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Stock Valuation
Stock value = Present value of the dividends that the company is expected to pay during its life.
If the stock never pays a dividend—whether a regular dividend or a liquidating dividend—then its value is $0.
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Stock Valuation—Terms
tD̂ = dividend expected in Period t, such that
1D̂ = the dividend expected in Period 1
D0 = the most recently paid dividend
tP̂ = stock price expected in Period t, such that
1P̂ = the price expected in Period 1P0 = current market price
g = growth rate
rs = the rate of return investors require to purchase the firm’s common stock
^ (hat) = an expected value—that is, a value that is forecasted to occur in the future.
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Stock ValuationStock ownership entitles the investor to the future cash flows, called dividends, that are paid by the firm 1
…0 2 3 ∞
1D̂ 2D̂ 3D̂ D̂
1D ofPV ˆ
2D ofPV ˆ
3D ofPV ˆ
D ofPV ˆ
...
0t P ValueStock D ofPV ˆˆ
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Stock Valuation
dividends future expected ofPV P V valueStock 0s ˆ
)r (1
D
)r (1
D
)r (1
D P
s2
s
21
s
10
ˆˆˆˆ
)r (1
D
1tt
s
t
ˆ
rs = required return on stock
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Stock ValuationConstant Growth, g
Required: g = constant rs > g
1t
ˆt
s
t0
s
02
s
20
1s
10
0)r (1
g) (1D
)r (1
g) (1D
)r (1
g) (1D
)r (1
g) (1D P
If growth is constant such that g = g1 = g2 = … = g∞ 1
01 g) (1D D ˆ 202 g) (1D D ˆ …
g) (1D D 0ˆ
g - rg) (1D
s
10
g - r
D
s
1ˆ
Value of a constant-growth stock
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Stock Valuation—Constant Growth, g
The most recent dividend paid (D0) by a firm was $2;
the firm is expected to grow at a constant rate (g) equal to 4 percent; and the required rate of return (rs)
on similar risk investments is 12 percent.
g - rg) (1D
Ps
10
0
ˆ0.04 - 0.12
$2(1.04)
1
$26.00 0.08$2.08
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Stock Valuation—Constant Growth, gD0 = $2; g = 4%; rs = 12%
26.00 25.9831 D100
1tt
ˆ
PV of @ 12%
= $2.00(1.04)tDividend, Year tD̂tD̂ tD̂
1 $2.0800 = $2.00(1.04)1 $1.8571
2 2.1632 = 2.00(1.04)2 1.7245
3 2.2497 = 2.00(1.04)3 1.6013
5 2.4333 = 2.00(1.04)5 1.3807
10 2.9605 = 2.00(1.04)10
0.9532
50 14.2134 = 2.00(1.04)50
0.0492
100 101.0099 = 2.00(1.04)100
0.0012
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Stock Valuation—Constant Growth, g=0
)r(1
D
)r(1
D
)r(1
DP
s2
s
21
s
10
ˆˆˆˆ
DDDD 21 ˆˆˆ
g = 0
srD
s
2s
1s
0 )r(1D
)r(1D
)r(1D
P
ˆ
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Stock Valuation—Constant Growth, g=0
s0 r
D P ˆ
The preferred stock of a company pays a constant dollar dividend equal to $4 per share. The required rate of return on similar risk investments is 8 percent.
$50 0.08$4
Relationship between value and rs
Required Return, rs Stock Value
5.0%
8.0
12.0
Relationship between value and rs
Required Return, rs Stock Value
5.0% $80.00
Relationship between value and rs
Required Return, rs Stock Value
5.0% $80.00
8.0 50.00
Relationship between value and rs
Required Return, rs Stock Value
5.0% $80.00
8.0 50.00
12.0 33.33
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Stock Valuation—Nonconstant Growth
)r (1
D
)r (1
D
)r (1
D P
s2
s
21
s
10
ˆˆˆˆ
)r (1
)g (1D
)r (1
)g (1D
)r (1
)g (1D
s
12
s
211
s
10ˆˆ
N
s
NN1N2
s
211
s
10
)r (1
P )g (1D
)r (1
)g (1D
)r (1
)g (1D
ˆˆˆ
norms
1N
norms
normNN g - r
D
g - r)g (1D
P
ˆˆ
ˆ gnorm = constant, or normal, growth
NP ˆ
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Stock Valuation with Nonconstant Growth—Example
D0 = $1.25
g1 = 25%
g2 = 20%
g3 = 10%
g4 = -4%
g5 = 5% = g6 = … = g∞
rs =14%
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D0 = $1.25; rs = 14%
25%
-4 1.1723= 2.0625(0.96)
1.98004
10 1.3921= 1.8750(1.10)
2.06253
20 1.4428= 1.5625(1.20)
1.87502
$1.3706= $1.2500(1.25)
$1.56251
Growth rate, g
PV of @ 14% Dividend,
Year tD̂tD̂ )g (1D D t1-tt ˆˆ
= 5.3778
Stock Valuation with Nonconstant Growth—Example
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Because the dividends grow at a constant rate after Year 4, we can apply the constant growth model such that:
ns
n4
ns
54 g - r
)g (1D
g - rD
P
ˆˆ
ˆ
$23.10 0.09
$2.0790
0.05 - 0.14)$1.98(1.05
Stock Valuation with Nonconstant Growth—Example
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Valuation—Cash Flow Time Line
10 2 3 414%
1.5625 1.8750 2.0625 1.9800
5.3778
tD̂
23.10 4P̂13.6771
19.0549
$19.05P0 ˆ
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Stock Valuation—Nonconstant Growth
The key to computing the value of a stock that exhibits nonconstant growth is to assume constant growth occurs at some point in the future—it might start in five years, 50 years, or 100 years:Apply the constant growth model to compute the value of
the expected dividends from that point forward. Compute the present value of the stock’s value at the
point where you assume constant growth begins.
Prior to the point where constant growth begins:Compute the dividend for each yearFind the present value of each dividend
Sum the PV results.
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Stock Return
g P
D̂ r̂
0
1s
Expected rateof return
Expecteddividend
yield= +
Expected growthrate (capital gains yield)
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Stock Return
P0 = $30.00; D0 = $1.50; g = 6.0%
g P
D r
0
1s
ˆ
ˆˆ 0.06
$30)$1.50(1.06
11.3% 0.06 0.053 0.06 $30
$1.59
g - rD
g - rg) (1D
Ps
1
s
00
ˆˆ
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Stock Return
In one year, the price of the stock is expected to be:
g - rD
)r (1
D
)r (1
D
)r (1
D P
s
21-
s2
s
31
s
21
ˆˆˆˆˆ
$31.80 0.053
$1.6854
0.06 - 0.113)$1.59(1.06
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Stock Return
Because the value of the stock is expected to increase from $30.00 to $31.80 during the year,
g P
PP
valueBeginning valueBeginning - valueEnding
yieldgains
Capital
0
01
ˆ
0
1
P
Dyield
Dividend ˆ
6.0% 0.06 $30.00
$30.00 $31.80
5.3% 0.053 $30.00$1.59
rs = 11.3%^
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Valuation Using P/E Ratios
P/E ratio = Price ÷ EPS = price multiple
“Normal” P/E
Example: A firm’s P/E is normally 8.0x. If its EPS = $7, then the value of its stock should be $56 = $7 x 8
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Valuation Using EVA
Economic Value Added = EVA
Earnings must be sufficient to pay those who provide funds to the firm; otherwise the value of the firm should decrease.
funds) of cost (Dollarrate)Tax EBIT(1
funds
of Cost
income operating
taxAfterEVA
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What is equity?Stock/ownership.
What factors affect stock prices? Investors change their expectations about the
returns the firm will generate in the future.
How are stock prices determined?The price is equal to the present value of the
dividends stockholders expect to receive during the company’s life.
Stocks (Equity)Characteristics and Valuation