Sticky Prices and the Value of Public Information:...
Transcript of Sticky Prices and the Value of Public Information:...
Sticky Prices and the Value of Public Information:
What Can Financial Markets Tell Us?∗
Jin Xie† Juanyi (Jenny) Xu‡
This version: January 2018
Abstract
We construct a simple measure of output-price transparency using staggereddisclosures of product indices by the Bureau of Labor of Statistics (BLS). Themeasure tells the extent to which investors or firms of a granular sector observeprice changes from closely neighbored sectors. Transparency mitigates informationasymmetry in the debt market and thereby reduces sticky-price firms’ financingcosts. Transparency also leads sticky-price firms to respond more to cost shocks,which reduces their exposure to systematic risks. Surprisingly, transparency delaysflexible firms’ responses to shocks and thereby increases the risk exposure of theirstocks. We perform textual analysis on transcripts of earnings conference calls andfind that managers of flexible firms have more private signals about the trend ofinput costs. To address endogeneity, we exploit the cross-sector heterogeneity ofJanuary 2004 coverage expansion by the Office of Publications at BLS.
JEL classification: E12, E44, G32, G12, D83
Keywords: Sticky Prices, Public Information, Debt Financing, Stock Returns,Government Statistics Agency, BLS
∗We are indebted to Michael Weber for numerous helpful discussions and making the data of frequencyof price adjustment at the sector level publicly available. We thank Doron Avramov, David Cook, KangShi, and Yizhou Xiao for helpful comments. We thank Scott Sager at the Bureau of Labor of Statisticsfor answering numerous questions about the producer price index (PPI) program. Xiang Shi, Yihui Zengand Yue Zhou provided excellent research assistance. Xie and Xu acknowledge research support from theChinese University of Hong Kong and Hong Kong University of Science and Technology, respectively. Allerrors are our own.
†The Chinese University of Hong Kong, Cheng Yu Tung Building, No.12, Chak Cheung Street, Shatin,N.T., Hong Kong. Email: [email protected].
‡Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong. Email:[email protected].
1 Introduction
Government agencies periodically disclose information to guide decisions undertaken by
private sectors that are often uninformed about aggregate fundamentals. The officially
released data are often noisy, and range from macroeconomic statistics, most notably,
the gross domestic product (GPD), to microdata such as corporate profits and personal
income. One important question is whether a public release creates social value. More
public information is generally beneficial when a single agent’s decision is made in
isolation. However, this conclusion might not hold if public information has a coordinating
role and agents are influenced by the action of others. Morris and Shin (2002) and
Amador and Weill (2010), among others, show the release of economic statistics might
be detrimental to social welfare if agents with coordination motives “overreact” to public
information or rely less on their own private signals.1 Yet, despite extensive theoretical
research, with a particular focus on government disclosure in the conduct of monetary
policy, empirical evidence on this issue has been sparse.
In this paper, we provide novel evidence on the impact of public information on
financial market outcomes via firms’ pricing decisions under imperfect information. For
three reasons, we propose U.S. public corporations with heterogeneous price stickiness as
our laboratory. First, a poor information environment within which firms operate can
cause prices to be sticky (Blinder et al. (1997); Zbaracki et al. (2004); Fabiani et al.
(2005). Second, price stickiness can also contribute to information frictions between firms
and outside investors (Gorodnichenko and Weber (2016); D’Acunto et al. (2017)). Third,
it is well observed that firms as price setters are often interested parties in the pricing
actions of other firms (Ball and Romer (1991)). For these reasons, public information
has attributes that make it a double-edged instrument in influencing both the cause and
consequence of price stickiness.
Using data of frequency of price adjustment, we document two distinct channels
through which the supply of public information by the Bureau of Labor of Statistics
(BLS) is valuable for sticky-price firms. In the first channel, BLS disclosure mitigates
information asymmetry between investors and sticky-price firms and thereby reduces their
1Angeletos et al. (2016) allow an informational friction to inhibit the coordination of a firm’s productionand pricing decisions, and show the social value of public information depends on both the real andnominal rigidities, on the source of business cycle, and on the conduct of monetary policy.
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financing costs. In the second channel, more public information causes sticky-price firms
to be more responsive to cost shocks, which in turn reduces inflation inertia and their
exposure to systematic risks. Surprisingly, we find perverse effects of public information on
flexible-price firms. In a spirit similar to Morris and Shin (2002) and Morris et al. (2006),
we show that managers of sticky and flexible firms have access to private signals about
the trend of input costs at different levels of precisions, which explains the differential
impact of BLS publication coverage on risk exposures of the two types of stocks.
To empirically quantify the public information environment, we construct a simple
measure of output-price transparency using the staggered disclosure of product indices
underling the Producer Price Index (PPI) program compiled by BLS. The measure
contains both new information and noise that are relevant to a firm’s pricing decisions.
BLS adds indices to, or deletes them from, the PPI program via a resampling process
conducted at the 6-digit North American Industry Classification System (NAICS) level.2
Within each 3-digit NAICS sector, we calculate the number of granular product indices
published by BLS in month s as a fraction of the maximum possible number of underlying
products in that sector. We call it “BLS publication coverage.” The measure describes
the extent to which investors and firms in granular sector j observe price adjustments for
outputs made by sector j’s closely neighbored sectors, j′. Because cost structures of j
and j′ are imperfectly correlated, prices from sector j′ contains both new information and
noises for sector j.3
One important concern is that other industrial conditions might drive the variation
of BLS publication both across sectors and over time. To address this concern, we first
show our measure is not confounded by industry concentration and firm-level measures
of market power and concentration. Second, we propose an instrumental variable (IV)
strategy that utilizes a quasi-natural experiment in which, by a single exogenous event,
the Office of Publications at BLS differentially changed its publication coverage across
2We will discuss the institutional details in section 2.3Without BLS publications, firms indeed do observe prices of certain products sold by firms from
neighboring sectors. However, for any firm to have perfect information about its peers’ prices is almostimpossible. Firms keep their product pricing strategies confidential for a variety of strategic motives.Public firms request the US Securities and Exchange Commission (SEC) to redact product prices insales contracts that have to be disclosed in financial statements (Verrecchia and Weber (2006); Boone,Floros, and Johnson (2016)). When contacting firm participants for surveys, BLS makes a pledge ofconfidentiality to respondents.
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3-digit NAICS sectors.4
We form two hypotheses arguing that BLS’s disclosure of product indices creates
value for sticky-price firms. In our first hypothesis, price stickiness suppresses the
revelation of a firm’s private information about its marginal cost of production, which
exacerbates information asymmetry between firms and outside investors. BLS disclosure
allows investors to infer a sticky-price firm’s private information about marginal costs
from observing price adjustments made by closely neighbored peer firms. We test
this hypothesis by comparing interest rates between bond and loan markets paid by
sticky-price firms. Compared to banks, investors of diffusely owned public bonds are not
well informed about a borrower’s marginal costs, because they suffer from a coordination
problem when monitoring private information (Diamond, 1991a,b). As a result, bond
investors charge a higher spread. We expect the gap between loan and bond interest rates
will be negative correlated with BLS disclosure.
To measure price stickiness, we use the frequency of price adjustments for each
granular NAICS sector provided by Pasten, Schoenle, and Weber (2017).5 We classify
a Compustat firm as a sticky-price firm if the adjustment frequency of this firm’s NAICS
sector is ranked below the sample median. A flexible firm is defined analogously. Although
both sticky- and flexible- price firms pay a higher spread in the bond market than in the
loan market, BLS disclosure attenuates the spread difference only among sticky-price
firms. Industry characteristics such as competition and market power do not confound
our results. A one-standard-deviation increase in our transparency measure reduces the
“bond premium” by 32.5 basis points (see column 1 of Table 3). Similar to D’Acunto
et al. (2017), we estimate these magnitudes after controlling for stock-return volatility,
firm size (measured by sales), tangibility, profitability, the book-to-market ratio, firm-level
measures of market power, concentration, and firm and year fixed effects. Our IV
estimation yields similar results (see Table 5).
In our second hypothesis, firms have imperfect information about a permanent shock
to the marginal cost of production. The presence of imperfect information and higher-
order expectations leads to a delay in the price adjustment to shocks. However, public
4We will discuss the details in section 2.5The authors use the confidential microdata underlying the producer price indices from the BLS. On
the sample period of from 2002 to 2012, the authors aggregated frequencies of price adjustment at thegoods level into NAICS sectors of different granularities. The frequency measure is time invariant.
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information makes firms’ private information more accurate. Given the same adjustment
frequency (i.e., Calvo rate), a firm with more precise information becomes more responsive
to cost shocks. In the online appendix, we link BLS publication coverage, price stickiness,
and risk premium, relying on the theoretical framework by Nimark (2008). Similar to
Li and Palomino (2014) and Weber (2015), the central mechanism generating a cross-
sectional return premium for sticky-price firms in the model is a higher cyclicality of cash
flows for sticky price firms after shocks to marginal utility. We also hypothesize that
flexible firms can often reset prices after information is improved and therefore is less
exposed to systemic risks.
For the second hypothesis, we find evidence consistent for sticky-price firms but not
for flexible-price firms. First, we find BLS publication increases the speed at which sticky-
price, granular sectors pass input-cost shocks into output prices. Second, we explore the
asset-pricing implication of BLS disclosure for sticky-price firms. In each year, we double-
sort eligible stocks based on price stickiness and BLS publication.6 Returns monotonically
decrease in the degree of transparency in sticky-price firms. On the sample period from
July 1997 to June 2013, we show that portfolios of sticky-price firms sorted on BLS
publication generate a return differential of 7.7 percentage points per year between stocks
with the highest and lowest levels of BLS publication coverage. Such a return differential
becomes 4.4 percentage points when we extend the sample period from July 1983 to June
2013.7 Third, we show market power, industry concentration, industry fixed effects, and
other standard cross-sectional return predictors cannot explain the premium in firm-level
panel regressions. Last, we test whether differential exposure to systematic risk can
explain the difference in returns between the two extreme portfolios for sticky-price firms.
Although the capital asset-pricing model (CAPM) cannot explain the level of double-
sorted portfolio returns, it does explain a significant portion of cross-sectional dispersion:
less transparent, sticky-price firms are, on average, more sensitive to the market excess
return (with a β close to 1.3). βs in sticky-price firms decrease monotonically with BLS
publication, resulting in a difference in exposure to market risk of about 0.13 between
sticky-price stocks in the most and least transparent portfolios.
Our most surprising results come from flexible firms. We find that, compared to those
with low BLS publication coverages, flexible firms with high coverage adjust less to cost
6We focus on domestic common stocks that are publically listed on NYSE, AMEX, and NASDAQ.7The sample of Compustat firms covered by the NAICS system ranges from 1983 to now.
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shocks and have higher risk exposures to systematic risks. We interpret these findings
as evidence consistent with Morris and Shin (2002) and Amador and Weill (2010). In
Morris and Shin (2002), the detrimental effect comes from agents’ overreaction to noises
contained in public information release. In Amador and Weill (2010), firms overweight
public information release and underweight their own private information, making sector-
wide prices less informative. The initial overweighting on public information prompts firms
to put even less weight on their private information, making prices even less informative,
and so on.
We argue that less efficient managers, or managers with higher attention costs,
might acquire less information about the trend of costs and thereby adjust output prices
less frequently. To empirically validate our conjecture, we perform textual analysis on
transcripts of earnings conference calls. An earnings conference call is a teleconference,
or webcast, in which managers discuss the financial results of a reporting period. The
SEC’s Regulation Fair Disclosure (Reg FD) requires managers to disclose material private
information to all investors at the same time via conference calls or press releases.
Managers can have more private signals about cost trends if they use more exact numbers
(e.g., “we anticipate a 5% increase” or “costs will decrease by $1.2 million”) to predict
input costs of their own company.
Compared to managers of sticky firms, we find managers of flexible firms disseminate
more quantitate, nonpublic information about the trend of certain cost items on a
voluntary basis through the avenue of earnings conference calls. On a sample of more
than 79,000 earnings call transcripts for the period of 2002 to 2012, we count the number
of sentences in which managers forecast the company’s future costs in a quantitative
manner. Based on the frequency of price adjustment, we sort our sample firms into
four portfolios. We find that both the incidence and intensity of managerial forecasts
monotonically decreases with the level of price stickiness. As for incidence, there are
44% and 55% of transcripts in the most sticky and most flexible portfolios, respectively,
contain such discussions. As for intensity, managers of the stickiest firms have used 2.1
sentences per conference call to make quantitative forecasts about input costs, whereas
managers of most flexible firms have used about 3.
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1.1 Related Literature
Our paper adds to a recent literature on the macroeconomic determinants of default risk
and equity premium in the framework of New Keynesian economics. Li and Palomino
(2014) conclude the traditional New Keynesian framework to capture asset-pricing
dynamics has a significant shortcoming. Weber (2015) examines the asset-pricing
implications of nominal rigidities and finds firms that adjust product prices inflexibly earn
an equity premium by a magnitude of 4% per year. The central mechanism explaining
his results is a higher cyclicality of cash flows for sticky-price firms after shocks to
marginal utility. Gorodnichenko and Weber (2016) show that after monetary policy
announcements, the conditional volatility of stock market returns, as well as company
operating income, increases more for firms that cannot freely adjust prices. D’Acunto
et al. (2017) find flexible-price firms have a higher long-term financial-leverage ratio than
inflexible-price firms. The authors argue the asymmetric-information problem is more
severe for firms with rigid prices when bank monitoring is costly. We study the impact
of public information on the financial-market consequence introduced by nominal price
rigidities. In particular, we put our analysis in a context in which firms as price setters
use public signals not only to predict fundamentals but also to coordinate their pricing
decisions.
The paper also speaks to both economics and finance literatures studying the welfare
effect of information disclosure. The economic literature find public information can
play a role akin to that of sunspots, possibly contributing to higher volatility and lower
welfare. In their seminal work, Morris and Shin (2002) conclude that public signals have
a disproportionate effect on equilibrium outcomes relative to what is warranted on the
basis of their informational content regarding fundamentals alone. Amador and Weill
(2010) find that although a public release has the direct beneficial effect of providing new
information, it may increase uncertainty about the monetary shock and reduce welfare.
Angeletos, Iovino, and La’O (2016) highlight how information dispersion can be the source
of both real and nominal rigidities.
The role of public information has also been studied in the finance literature.
When financial- market agents (e.g., lenders and equity investors) have an incentive to
coordinate, their actions are more sensitive to public than to private information, because
public information better forecasts the actions of others. This notion has been applied to
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the understanding of a variety of financial-market phenomena, including creditor and bank
runs (Morris and Shin (2004); Goldstein and Pauzner (2005)), borrower runs (Bond and
Rai (2009)), financial crises (Goldstein (2005)), currency attacks (Morris and Shin (1998);
Hellwig, Mukherji, and Tsyvinski (2006); Goldstein, Ozdenoren, and Yuan (2011)), and
asset-price volatility (Ozdenoren and Yuan (2008)). In a novel empirical study, Hertzberg,
Liberti, and Paravisini (2011) use a credit-registry expansion as a natural experiment to
isolate the coordination channel from lenders’ joint reaction to new information. The
authors find that lower financing by one lender reduces firm creditworthiness and causes
other lenders to reduce financing.
2 Producer Price Index (PPI) Program at BLS
2.1 General Background
Established in 1884, The Bureau of Labor Statistics of the US Department of Labor is the
principal Federal agency responsible for measuring price changes, labor-market activity,
and working conditions in the economy. Its mission is to collect, analyze, and disseminate
essential economic information to support public and private decision-making.
The Producer Price Index (PPI) is a family of indexes that measures the average
change over time in the selling prices received by domestic producers of goods and services.
The PPI program at BLS measures and publishes price movements for the net output of
producers. The program tracks prices of all goods-producing industries, such as mining,
manufacturing, gas, and electricity, as well as the service sector. The PPI covers about
three-quarters of the service-sector output.
Each PPI index is an aggregation of prices for individual goods at different granular
levels. The BLS follows the following procedures to determine the individual goods
included in the PPI. The BLS selects establishments using a systematic sampling from
a listing of all firms that file with the Unemployment Insurance System. After a firm is
selected and agrees to participate in the survey, a probability-sampling technique called
disaggregation is used to determine which specific products or services will be included.
Disaggregation is a process in which iterative steps are taken to select items based on their
proportionate value to the manufacturer’s overall revenue. A respondent breaks down
the type of items shipped into categories, which are then divided by price-determining
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characteristics such as options, color, and size. Differentiating between types of buyers
or discounts then could be necessary. Disaggregation continues until a specific product
sold to a specific buyer is selected. Establishments selected must continue to report until
a new sample is selected for the industry after seven to eight years.
2.2 BLS Conversion of SIC into NAICS
In January 2004, the PPI program switched its basis for industry classification from the
1987 Standard Industrial Classification (SIC) system to the NAICS system. This profound
reform was made in response to increasing criticism about the inability of SIC system
to handle rapid changes in the US economy.8 Two major dimensions in which NAICS
improves upon SIC make our instrument especially appealing. First, NAICS provides
more complete coverages of new and emerging sectors at different granularities. These new
sectors are reflective of the changes in how people produce and consume.9 Second, NAICS
groups establishments into industries on the basis of their production function, whereas
SIC uses a mixture of ways to categorize economic activities. The unified approach creates
more homogeneous categories that are better suited for economic analysis.1011
For price indices prior to 2004, BLS reorganizes them under the NAICS according to
the rule as follows. The PPI treats the SIC-to-NAICS comparison as continuous if 80%
or more of the weight of the SIC-based index comprises at least 80% of the weight of the
NAICS-based index. All index series that have passed this test are published under the
NAICS structure using the index base date and price-index history established by the
SIC-based index.
8Developments in information services, new forms of health care, an expansion in the service sector,and the advent of high-tech manufacturing are examples of industrial changes that could not be studiedunder SIC.
9These new and emerging industries include semiconductor and related device manufacturing, cellularand other wireless telecommunications, and Internet punishing and broadcasting.
10For example, establishments using similar raw-material inputs, similar capital equipment, and similarlabor are classified under the same industry.
11The third advantage of NAICS relative to SIC is that NAICS is not only used by the United Statesbut also by Canada and Mexico. The conversion makes NAICS a consistent tool for measuring andcomparing the economies within the North American Free Trade Agreement. See Walker and Murphy(2001) for more institutional details.
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3 Hypothesis Development
In this section, we illustrate mechanisms for the two distinct channels to affect the
interaction between BLS publication and sticky-price firms in the financial market.
Output-price transparency captures the extent to which the interested parties in 6-digit
NAICS sector j (investors and firms) observe price movements for goods produced by
sector j′ , sector j’s close neighbors in the 3-digit sector.
3.1 First Channel
In this channel, public information partially resolves information frictions between sticky-
price firms and investors. Here, investors, namely, large bond investors, make decisions in
isolation and public information is unambiguously beneficial according to Morris and Shin
(2002). Firms receive shocks to the marginal cost of production but differ in the frequency
of price adjustment. Flexible firms can adjust prices to shocks more frequently and keep
their profits at the optimal level. Sticky-price firms adjust prices less often so their profits
are more volatile. As a result, price stickiness exacerbates information asymmetry because
investors cannot observe marginal costs and relative prices and thus are uncertain about
firms’ profits (Gorodnichenko and Weber (2016); D’Acunto et al. (2017)).
Output-price transparency helps investors of a sticky-price firm i form better
expectations about the firm’s profit. A higher level of transparency indicates that within
each 3-digit NAICS sector, more peer firms’ product prices are publicly available. That
is, investors can infer i’s marginal cost more accurately via observing price adjustments
made by other firms in i’s closely neighbored sectors.
However, differentials of financial costs in empirical data also reflect differentials of
other firm characteristics that are correlated with price inflexibility. To clearly identify
information cost, we compare the effects of BLS publication through this channel
between two financial environments. First, the firm borrows through the public bond
market. Second, the firm borrows from banks. Investors of diffusely owned public
bonds are not well informed about borrowers’ marginal costs, because they suffer from a
coordination problem when monitoring private information (Diamond (1991a), Diamond
(1991b)). Bond investors respond to their information disadvantage by charging a
higher spread. Compared to bond investors, banks are much better informed due to
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either repeated lending relationships or monitoring. As a result, loan spreads are less
sensitive to information asymmetries arising from price stickiness. Everything else
equal, the difference between bond and loan spreads speaks to the degree of information
asymmetries. We therefore aim to test the following hypothesis in the data.12
Hypothesis 1: When BLS discloses more product indices for a 3-digit NAICS sector,
sticky-price firms in this sector pay a lower bond spread but not loan spread. Such a
relation between BLS publication coverage and spread does not exist among flexible-price
firms.
3.2 Second Channel
In this subsection, we focus on the second channel by which product-price transparency
causes firms to become more responsive to a cost shock, which in turn reduces price
stickiness and makes sticky-price firms less risky. Here, firms as price setters are
imperfectly informed about a marginal cost shock and are interested in knowing pricing
actions taken by other firms. We first discuss the information structure underlying a shock
to a firm’s marginal cost. In Appendix A, we present Nimark (2008) partial-equilibrium
model to better illustrate the mechanism at work.
In each granular sector j, a continuum of monopolistic firms is distributed on a unit
interval [0, 1] indexed by i.13 Each firm produces differentiated goods. The customer
combines these differentiated goods to produce a consumption good for a specific sector
j. At time t, firm i in sector j is subject to a real marginal cost shock mcjt(i). The shock
is composed of two parts, a sector-wide component mcjt and a firm-specific component
µjt(i). Firm i only observes the sum of the two components as follows:
mcjt(i) = mcjt + µjt(i), (1)
where µjt(i) is an idiosyncratic component and µjt(i) ∼ N(0, σ2µ) for i ∈ (0, 1). The
12Duffie and Lando (2001) recognize that managers are either not able or not willing to communicate alltheir private information in the financial statements. They find that compensation for investors includesnot only the “structural” credit risk premium, but also the “imperfect information” risk premium. Fordeterminants of corporate bond spreads, see Huang and Huang (2012).
13In our empirical setting, j corresponds to a granular sector (e.g., 6-digit NAICS) belonging to acoarsely defined sector (e.g., 3-digit NAICS).
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sector-wide average marginal cost shock comes from an aggregate cost shock. We assume
it follows an exogenous AR(1) process:
mcjt = ρ×mcjt−1 + vt (2)
where vt ∼ N(0, σ2v) is an aggregate cost-push shock.
This idiosyncratic component µjt(i) may come from two sources. First, the impact of
a sector shock differs across firms, and firm i is privately informed about this impact.14
Second, each firm acts on the basis of its own perception regarding the state of the
sector-wide shock. µjt(i) comes from a subjective error that is specific to each individual
observer (Woodford, 2003). As in Sims (1998) and Sims (2003) , these errors might come
from the limited capacity of firms in collecting and processing information. The cross-firm
difference in such a capacity leads to a cross-firm difference in µjt(i).
Due to Calvo-type price stickiness, individual firms set price infrequently in response
to marginal cost shocks. However, imperfect information implies firms cannot perfectly
infer the sectoral marginal cost shock (mcjt) by observing their own marginal cost (µjt(i)).
They have to form expectations about the sectoral marginal cost and price level. As
Nimark (2008) shows, the presence of imperfect information and higher-order expectation
delays the adjustment of prices in response to marginal cost shocks and thereby creates
inflation inertia.
Given the information structure in equation (1), a decrease ofσµ2
σv2— the relative
variance of the idiosyncratic component to that of the average marginal cost innovation
– implies an increase in the accuracy of an individual firm’s private information. We
argue that BLS publication reducesσµ2
σv2for the following reason. The cost structures of
firms in sector j and j′ are highly correlated. Hence, knowing prices in sector j′ will help
sector j firms to predict average marginal cost and price more accurately based on their
own information on µjt(i). An increase in price transparency will reduce firms’ cost of
collecting and processing information and thereby increase the information content of
their observation of µjt(i) , which in turn makes firms more responsive to cost shocks. We
state our second hypothesis as follows:
14For example, how much an increase in oil price will affect production costs differs across firms. Inanother example, a firm can negotiate with its suppliers to share the profit loss under wage inflation. Thenegotiation outcome between the two contracting parties is not publicly disclosed. Different firms havebargaining powers, which implies cross-firm difference in the impact of wage inflation on costs.
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Hypothesis 2: When product-price transparency is high, granular product-price
indices are more responsive to aggregated cost shocks.
In Appendix A2, we develop a one-sector general equilibrium model to rationalize
the negative relation between return premium for sticky-price firms and BLS publication
coverage. Similar to Weber (2015), the central mechanism generating a cross-sectional
return premium for sticky-price firms in the model is a higher cyclicality of cash flows
for sticky-price firms after shocks to marginal utility. However, our model predicts that
output-price transparency may reduce risk exposures only for sticky-price firms, because
flexible firms can reset prices shortly after the information environment is improved.
In the model, the economy consists of households who supply labor and consume
goods, firms that produce differentiated goods and set prices and a monetary policy
authority that sets the nominal interest rate. Households are subject to economy-wide
shock to their (dis)utility of supplying labor. The labor supply shock is not directly
observable by firms but influences the marginal cost of production. In addition, firms’
marginal costs are also affected by specific wage bargaining shock and firms cannot by
direct observation distinguish between the economy-wide labor supply shock and the
idiosyncratic bargaining shock. Firms have to form higher order expectation of average
marginal cost in order to set prices optimally. In Appendix B, we provide the details of
the model.
Hypothesis 3: An increase in product- price transparency reduces sticky-price firms’
risk premium.
Figure 2 provides some graphical evidence on the decrease in the excess equity
premium after increase in information precision. We plot the relationship between
aggregate dividend Dt, and marginal utility C−γt , as a function of aggregate output, Yt.
We simulate the one-sector general equilibrium model for 200 periods 500 times, sort the
difference in dividend and marginal utility based on the realization of aggregate output,
and take the average across simulations. We simulate three scenarios, corresponding to the
case with low precision (σ2u
σ2v
= 0.2), medium precision (σ2u
σ2v
= 1) and high precision(σ2u
σ2v
= 5).
From Figure 2, we can see that, in times of low aggregate output and high marginal
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utility, the dividend corresponding to the low information precision case (black line) is
lower than in the higher-information-precision case (blue and red line). The covariance
between marginal utility and the aggregate dividend when σ2u
σ2v
= 0.2, 1, and 5 are −0.0865,
−0.0954, and −0.1080, respectively, suggesting lower information precision implies lower
relative dividends. Negative relative payoffs in times of high marginal utility are key
for positive return premia. Therefore, when information precision increases following an
incrase in BLS publication coverage, the return premium will decrease, as suggested by
our empirical evidence.
What leads to the decrease in the excess return premium? From the simulation, we
can show that when the information precision increases, the term related to marginal
cost and price dispersion will decrease, and inflation inertia will decrease as well. So,
more accurate private information helps the sticky-price firms form better predictions of
the sectoral marginal-cost shock and makes prices less sticky, which in turn leads to a
decrease of equity premium. This finding is consistent with Weber (2015)’s finding on
the impact of nominal rigidity on the excess return premium. He also emphasizes the
important of price dispersion in explaining the return premium.
4 Data
In subsection 4.1, we discuss the choice of sample period. In sections 4.2 and 4.3,
we describe the constructions of product-price transparency and the frequency of price
adjustment. To unify terminology, we refer to 3-digit NAICS codes as “coarsely defined
sectors”, and to 5- and 6-digit NAICS codes as “granular sectors”. In section 4.4, we
describe financial data.
4.1 Sample Period
For several reasons, we restrict our main analysis to the sample period of 1997-2012.
First, the NAICS system was first established in 1997 by the Bureau of Economic
Analysis (BEA). To convert SIC into NAICS for years before 1997, BEA relied heavily
on concordances developed in 1997. Such a single-year static concordance becomes
increasingly unreliable in early years before 1997 as the true relationship between NAICS
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and SIC changes over time. Because both our BLS publication and price-stickiness
measures are prepared in accordance with the NAICS system, we choose 1997 as the
beginning of sample. By doing so, we avoid inconsistence conversion from SIC into NAICS
in early years.15
Second, industry concentration is an important factor that is correlated with price
stickiness (D’Acunto et al., 2017). We mainly use the firm-level Hoberg-Phillips HHI
index (HP HHI) to measure product-market concentration. HP HHI was constructed
by Hoberg and Phillips (2010) and Hoberg and Phillips (2016) based on the distance
between firms in the product space, using textual analysis to assess the similarity
of firms’ product descriptions from the annual 10-K filings. The authors show that
relative to existing industry classifications, the text-based classifications offer economically
large improvements in their ability to explain differences in key characteristics such as
profitability, sales growth, and market risk across industries. We use concentration in
year t-1 to control for confounding factors affecting independent variables. Becuase HP
HHI is only available starting from 1996, 1997 becomes a natural start of the sample
period.
Third, we rely on the Dealscan-Compustat link file complied by Chava and Roberts
(2008) to merge syndicated loans with Compustat firms. The link applies to facilities
started from August 5, 1987, until August 31, 2012, which justifies the end period of the
sample.
4.2 Output-Price Transparency
In this subsection, we formally discuss how we measure BLS publication coverage. The
measure describes the extent to which investors and firms of a granular sector j observe
price adjustments made by closely-neighbored, granular sectors within the same coarsely
defined sector. In each month s (1 ≤ s ≤ N), Pub% is defined as
Pub%k,s =nk,s
max(nk,1...nk,N)(3)
where k denotes a 3-digit NAICS sector. nk,s is the number of product indices within
sector k disclosed by BLS in month s. max(nk,1...nk,N) is the maximum number of
15See Yuskavage (2007) for an introduction on how BEA converted historical industry time-series datafrom SIC to NAICS.
15
product indices for sector k on our observation period of January 1997 through May
2016. We set our observation period longer than the sample period to exhaust all the
product indices within 3-digit sector published by BLS. We exclude miscellaneous items.
Figure 1 reports the time series of mean and 95% confidence intervals for Pub% on
the sample period 1997-2012. The Pub% was 0.6 in January 1997 and steadily increased
to 0.7 before experiencing a discontinuous jump of 15 percentage points in January 2004,
when the PPI program replaced the SIC codes with the NAICS codes. The size of such
jump is 21% of the average ratio of Put% as of November, 2003.16
4.3 Frequency of Price Adjustment
To measure price stickiness, we use the frequency of price adjustment at the granular
sector level in accordance with the NAICS. The data are proprietary and are provided by
Pasten, Schoenle, and Weber (2017) using the confidential microdata underlying the PPI
from the BLS.
On the sample period of 2002-2012, Pasten et al. (2017) calculated the frequency of
price adjustment at the goods level as the ratio of the number of price changes to the total
number of sample months. For example, if an observed price path is $5 for three months
and then $10 for another two months, one price change occurs during five months, and
the frequency is 1/5. The authors then aggregate goods-based frequencies into NAICS
industries at different granularities.
Table 1 presents descriptive statistics of BLS publication (Pub%) and the frequency
of price adjustment (FPA) across the 3-digit NAICS sectors. Two patterns emerge. First,
the frequency of price adjustment across coarsely defined sectors contains substantial
heterogeneity, ranging from as low as 9% for professional, scientific, and technical services
to 93.75% for oil and gas extraction. The numbers imply the two sectors will keep prices
constant for 1.3 and 23.1 months, respectively.17
Second, output-price transparency also substantially varies across sectors. In the
sample period of 1997-2012, only less than 50% of product-price indices were published
16The maximum number of product indices does not always reach the end of our sample period.Product indices go out of publication if they meet either of the two following conditions. First, the indexmust have cooperation from a minimum number of reporting units (establishments) Second, in any givenmonth, the index must have actual prices from a minimum number of reporting units.
17We use −1/ log(1-adjustment frequency) to calculate implied durations.
16
for sectors such as merchant wholesalers, whereas almost 100% of indices were published
for sectors such as education services and furniture.
4.4 Financial Data
We collect stock returns from the monthly stock- return file from the Center for Research in
Security Prices (CRSP). We collect financial and balance-sheet variables from Compustat.
We construct two samples for debt financing during the period 1997-2012. The
first sample covers all firms with public debt (bonds) issued. We obtain the data on
the issuances of public bonds from the Securities Data Company (SDC) database. The
second sample is based on the deals from the private debt market. This sample is a set
of syndicated loan issuances from the Dealscan database provided by the Loan Pricing
Corporation (LPC). We collapse a package with multiple facilities contracted on the
same date into one observation. Deal amount, maturity, and spread in each package are
calculated as the sum of the amount across facilities, the average maturity, and the average
all-in-drawn spread over the London Interbank Offered Rate (LIBOR). The average values
are weighted by the amount of each facility within the package. We then match these
loans to Compustat via the August 2012 version of the Dealscan-Compustat linking table
introduced by Chava and Roberts (2008).
4.5 Earnings Conference Call
We obtain earnings conference call transcript data from Thomson Reuters, specifically
from the StreetEvents data feed. We collect the complete transcripts of all US conference
calls for the period of 2002 to 2012. We match the call transcripts with Compustat and
CRSP data based on the start date and company ticker of the firm conducting the call.
We focus on the presentation by the CEO and CFO during earnings conference calls and
count the frequency of cost-related sentences with future tense.
17
5 Price Stickiness, BLS Publication, and Borrowing
Costs
In this section, we test hypothesis 1, namely, that BLS disclosure creates value for sticky-
price firms, resolving information frictions in the debt market. We exploit the different
responses of the bond and loan spread to the change of output-price transparency to pin
down the impact of public information on financing costs paid by sticky-price firms.
5.1 Ordinary Least-Squares Analysis
Our first empirical specification is ordinary least- squares (OLS) equation. We combine
issuances of syndicated loans and bonds together and form two subsamples based on
whether a borrower is a sticky-price firm or not. Sticky-price firms are defined as firms
whose price-adjustment frequency is below the sample median (FPA=18%). Flexible
firms are defined analogously. Within each subsample, our most general specification is
the following OLS equation:
Spreadq,j,s = α+β×Bondi,s+γ×Bondi,s×Pub%k,s+λ×Pub%k,s+X′i,t−1×θ+ηt+ηi+εq,j,s
(4)
Spreadq,j,s is spread for firm i in deal q as of month s. Pub%k,s is measured as in equation
(3) and it varies across 3-digit NAICS sector k and over month s. Bondi,s is an indicator
variable equal to 1 if firm i borrows a public bond in month s, and zero if the firm borrows
a loan. X is a set of control variables, including stock-return volatility, profitability, sales,
book-to-market ratio, intangibility, long-term debt, price-to-cost margin, and industry
concentration. All the control variables are measured as of year t-1. ηt is a set of year
fixed effects absorbing time-varying shocks all firms face when borrowing occurs, and ηi is
a set of firm fixed effects absorbing time-invariant characteristics that differ across firms.
In alternative specifications, we replace ηi with η′k, a set of industry fixed effects. k′ refers
to coarsely defined sectors other than NAICS, namely, Hoberg-Philips 50 or Fama-French
48 industries. Standard errors are clustered at the 3-digit NAICS level. Our results are
virtually unchanged if we cluster standard errors at the 6-digit level.
We select control variables following D’Acunto et al. (2017). Total Vol is the
annualized return volatility in the previous calendar year using daily data. We set the
18
volatility to missing if we have less than 60 daily return observations. Profitability is
operating income over total assets (Profitability). Ln (Sales) is the log of sales. BM is
the book-to-market ratio. Intangibility is intangible assets defined as total assets minus
the sum of net property, plant, and equipment; cash and short-term investments; total
receivables; and total inventories to total assets. PCM is the ratio of net sales minus the
cost of goods sold to net sales. HP HHI is the concentration within the Hoberg-Phillips
industries.18 We exclude the period from December 2007 to June 2009 to circumvent the
concerns associated with the effects of the Great Recession. We also exclude firms from
financial and utilities sectors. Including these two sectors, however, does not change our
results.19
Table 2 provides descriptive statistics of the bond and syndicated loan samples in
Panel A, and correlations across variables in Panel B. On average, bond borrowers pay
49-basis-points higher spreads than loan borrowers. Compared to loan borrowers, bond
borrowers are more profitable, are of larger firm size, have lower book-to-market ratios,
and have higher long-term debt ratios and profit margins. In addition, bond borrowers
are from sectors in which the frequency of price adjustment is higher and for which the
BLS has published more product indices. Panel B shows the contemporeous correlations
among variables in Panel A.
Table 3 reports the baseline results. In columns (1)-(4) of Table 3, Pub% is the
continuous measure of BLS publication. In columns (5)-(8), it is a dummy variable that
equals 1 for firms in the top 50% of the distribution based on Pub%, and 0 for firms in
the bottom 50% of the distribution. In columns (1)-(2) and (5)-(6), we report results
for sticky-price firms; in columns (3)-(4) and (7)-(8), we report results for flexible firms.
We only exploit variation within firms and years. Our results are the same if we exploit
variation within HP 50 or Fama-French 48 industries.
In column (1) of Table 3, we regress Spread on Bond, Bond×Pub%, Pub%, other
standard determinants of interest rate, and year and firm fixed effects, as well as
measures of market power and market concentration, both at the firm level. Compared
to loan borrowers, borrowers of public bonds on average pay an extra 242 basis
18As a robust check, we also use HHI of annual sales at the Fama-French 48-industry level. Our resultsare not materially altered.
19For the periods during the Great Recession, we follow the US business-cycle expansion andcontractions define by the National Bureau of Economic Research (NBER).
19
points. Product-price transparency, however, largely reduces the premium for public
bonds. A one-standard-deviation increase in BLS publication (0.18) is associated with a
32.5-basis-point decrease in bond spread, which is 13% of the size of the bond premium.
In column (2), we add stock-return volatility (Total Vol) to control for time-varying
risk aversion, fades, or noise trader risk. Although total volatility is strongly positively
associated with spread, coefficients for variables of our main interest are not changed.
In columns (3)-(4), we repeat the same analysis on flexile firms. As column (3)
shows, flexible-price borrowers of public bonds on average pay an extra 175 basis points,
which is 67 basis points lower than the bond premium paid by sticky-price borrowers.
Pub% still reduces the bond premium, but its magnitude becomes economically and
statistically insignificant. A one-standard-deviation increase in Pub% (0.18) is associated
with a 13-basis-point decrease in bond spread, which is only 7.5% of the size of the bond
premium.
In columns (5)-(8), we replace the continuous measure of Pub% with the dummy
variable HPub% as defined above. Both sticky-price and flexible bond issuers again
pay a premium ranging from 127 to 132 basis points, and sticky-price firms with higher
BLS publication coverage pay about 50 basis points less, which is 38% of the total bond
premium. By contrast, BLS publication does not reduce the spread paid by flexible-price
firms.
In Table A4 of online appendix, we introduce triple interactions among the frequency
of price adjustment, BLS publication and a dummy variable indicating bond issuance. We
find that (1) sticky-price firms pay a higher bond spread than flexible firms, and (2) BLS
publication reduces the bond premium paid by sticky-price firms. The pattern is especially
significant when we use the continuous version of BLS publication (see columns (1)-(2) of
Table A4).
5.2 Instrumental Variable (IV) Approach
To identify the impact of transparency on bond spread, our strategy is similar to D’Acunto
et al. (2017). We regard price stickiness as a highly persistent firm characteristic.20 We
test whether an exogenous shock to the supply of BLS disclosure reduces the bond spread
20For example, in their sample of S&P 500 firms, D’Acunto et al. (2017) find a firm-level regression ofpost-1996 price flexibility on pre-1996 price flexibility yields a slope coefficient of 93%, and they fail toreject the null that the coefficient equals 1.
20
of sticky-price firms more than that of flexible-price firms.
With the release of data for January 2004, the PPI program of BLS changed its
basis for industry classification from the 1987 SIC system to the NAICS. We use the
cross-sector variation in the new coverage expanded by BLS under the NAICS system
to instrument for Pub% after January 2004. For each granular sector j, the publication
of product indices for j’s close neighbors should be orthogonal to any economic factors
within j after the expansion. To do so, we calculate ∆Pub%2004k , the difference in Pub%
between November 2003 and January 2004 for each 3-digit NAICS sector k.
Table A3 presents descriptive statistics of ∆Pub2004k across sectors. The change of
Pub%k across coarsely defined sectors contains substantial heterogeneity, ranging from as
low as 0% for forestry and logging to 73% for general merchandise stores. The first-stage
regression of the IV estimation is then given by:
Pub%i,k,s = α + β ×∆Pub%2004k × Post+X ′i,t−1 × θ + ηt + ηk + εi,s (5)
Post is an indicator equals to 1 if month s is within the period from January 2004 through
December 2012, and zero otherwise. ηk and ηt are a set of sector- and year-firm fixed
effects, respectively. Table 4 reports the estimation results for the first-stage regression.
Columns (1)-(3) report the regression results when the continuous version of Pub% is
used as the dependent variable. Columns (4)-(6) report results when BLS publication is
used as a dummy variable. The coefficient on the interaction term, ∆Pub%2004k ×Post, is
both economically and statistically significant, and the results hold for both sticky- and
flexible-price-firm subsamples. F -statistics show ∆Pub%2004k ×Post is a strong instrument.
Table 5 presents the IV-estimation results. In columns (1)-(4), we perform IV
estimations in which both Pub% and Bond × Pub% are instrumented. The results are
similar to those reported in columns (1)-(4) of Table 3. For flexible firms, however,
although the magnitude of the interaction term becomes larger, it loses statistical
significance (see columns (3)-(4) of Table 5). In columns (5)-(8), we also show that
when BLS publication is measured as an indicator variable, it again only reduces the
bond premium in sticky-price firms.
21
5.3 Additional Tests
Table A5 of the online appendix presents the estimated effects of the interaction between
price stickiness and BLS publication on a variety of loan-contract outcomes. Columns
(1)-(6) report OLS results, and columns (7)-(12) report IV-estimation results. One
concern with the interpretation of results in Tables 3 and 5 is that the loan spread
is not the only vehicle through which banks express their concern about information
asymmetry. Banks could monitor or screen borrowers using covenants or collaterals
(Rajan and Winton (1995); Sufi (2007); Ball and Bushman (2008)). If our conjecture
is right, we should not observe that banks change contract terms for sticky-price firms
when BLS publication coverage increases. The dependent variables we select include
lead lender’s ownership, restrictions on dividend payouts and capital expenditures, and
financial and capital covenants. We do not find any systematic pattern suggesting banks
use monitoring to substitute interest rates for sticky-price borrowers.
In the previous exercises, we regressed a persistent variable (bond or loan spread)
on other persistence variables (BLS publication). In Table A6 in the online appendix,
we collapse our data at the firm level and run a single cross-sectional regression. Three
variables of interests – BLS publication coverage, price stickiness, and interest rates –
mostly vary at the firm or sector level. In Table A6, we show our results are economically
and statistically similar.
In Table A7 in the Online Appendix, we examine whether price stickiness
predicts future stock-return volatility, an alternative measure of information asymmetry,
conditioning on current return volatility. For each June of year t, we calculate our
dependent variables – total volatility and idiosyncratic volatility – using data of daily
stock returns from July t to June t+1. We use CAPM model to estimate residual stock
returns and then calculate idiosyncratic volatility. Columns (1)-(6) report results for
OLS estimations and columns (7)-(12) report results for IV estimations. Our results
are consistent with price stickiness capturing cash flows volatilities and BLS disclosure
reducing such volatility in sticky-price firms.
22
6 Price Stickiness, BLS Publication, and Risk Pre-
mium
In this section, we test hypothesis 2, which predicts the disclosure of price information
by BLS improves sticky-price firms’ precision of private signals concerning idiosyncratic
shocks to the marginal cost and leads to more frequent price adjustments. In particular, we
test the value of public information for firms by recognizing the fact that price stickiness
constitutes a source of macroeconomic risk that is priced in the cross section of stock
returns.21 We hypothesize that BLS disclosure has less of an effect on flexible-price firms.
6.1 BLS Publication and Cost Pass-Through
In this subsection, we empirically validate the theoretical prediction that disclosures of
neighborhood prices encourage firms with imperfect common knowledge and private mea-
surement error to adjust more to cost shocks. We specify the following cost-pass-through
equation:
πj,s = α+18∑h=1
βs−h×vj,s+18∑h=1
γs−h×vj,s×HPub%k,s+18∑h=1
δs−h×HPub%k,s+ηj+εj,s (6)
The dependent variable is πj,s, the inflation rate for product j at the 6-digit sector as of
month s. vs is a cost shock at the aggregate level as of month s. ηj is a set of product
fixed effects at 6-digit level. The MA representation in equation (6) echoes the prediction
of Nimark (2008). The lagged vs will have a positive impact on current inflation only
if the average marginal cost follows a persistent process. If ρ in equation (2) becomes
zero, lagged inflation does not hold any information relevant to the firm’s price-setting
problem, and inflation becomes a white-noise process.22 We measure vs as follows
vj,s = ∆PPIs × Input%j,s (7)
21Using S&P 500 firms in the sample period of 1982-2007, Weber (2015) shows sticky-price firms arerisky and command an additional 4% return premium compared to firms with flexible prices.
22In Appendix A, we introduce partial-equilibrium model originlly developed by Nimark (2008) toillustrate the mechanism of the second channel.
23
where ∆PPIs is the growth rate of producer price index (PPI) at the aggregate level
from month s-1 to s. For each 6-digit NAICS sector j, we calculate Input% as the total
intermediate goods as a percentage of total output. Therefore, we allow for differential
impacts of a one-unit PPI shock on different products.23
Table 6 presents estimation results. Columns (1)-(2) report regression results when
HPub%k,s is defined based on the distribution of Pub%k,s. The relations between BLS
publication and price response to cost shocks differ between sticky and flexible firms.
Columns (3)-(4) report regression results for the IV estimation, where HPub% is equal
to 1 if the predicted value of Pub% is above the sample median, and zero otherwise.
Figure 3 plots the pass-through coefficients. The statistic of eventual interest is the
sum of the coefficients on the lagged vs: β(n)L =∑h=1
h=n βs−h if HPub%=0 and β(n)H =∑h=1h=n βs−h if HPub%=1. These coefficients reflect the impact the change in the current
PPI index has on future micro inflation over time. Our objective is to compare these
estimates across firms as the number of lags included in the specification is increased from
1 to 18. In Panel A of Figure 2, sticky-price firms with higher BLS publication coverage
in their corresponding 3-digit sector adjust more than do those with lower coverage. A
difference is visible around the seventh month. Our most surprising findings are from
Panel B. The plot shows that flexible firms with more BLS coverage adjust more slowly
in the first seven months than those firms with less coverage.
Figure 4 plots coefficients when HPub% is set to be 1 if the predicted value of Pub%
(P ub%) is above the sample median, and zero otherwise. P ub% is the predicted value
according to the following equation:
Pub%j,k,s = α + β ×∆Pub%2004k × Post+ ηt + ηk + εj,s (8)
The difference in the role of BLS disclosure on cost pass-through between sticky- and
flexible-price firms is even more evident. This time, flexible firms with high BLS
publication coverage adjust even much less than those with low coverage from the
beginning of the shock all the way to the 18th month.
Our findings on flexible firms are not consistent with intuition but are more consistent
23An alternative test for the mechanism in Hypothesis 2 is to examine whether an increase in pricerelease at the level of coarsely defined sectors (3-digit NAICS) reduces price stickiness or inflation inertia.However, this test is not feasible given the data availability. The frequency of price adjustment providedby Pasten, Schoenle, and Weber (2017) is time invariant.
24
with public information imposing negative effects on firms, especially when they have
independent sources of information. In section 6, we discuss a possible mechanism through
which public information hurts flexible-price firms.
6.2 Portfolio
In this subsection, we double sort stocks unconditionally by the frequency of price
adjustment and BLS publication coverage. We aim to test if differences in price stickiness
and output-price transparency are associated with dierences in returns.
Our main sample period is from July 1997 to June 2013. In each year t, we first
assign stocks into two baskets based on the frequency of price adjustment. Because the
frequency of price adjustment does not vary over years, we follow Weber (2015) to only
sort once at the beginning of the sample period to minimize concerns about measurement
error. We then assign stocks independently into four baskets based on the measure of
product-price transparency (Pub%).
Table 7 presents descriptive statistics. Panel A summarizes time-series averages of
annual means and standard deviations of the return predictors. We have on average
more than 3,400 distinct firms per year. The sample consists of domestic stocks listed on
NYSE, AMEX, and NASDAQ from 1997 to 2013. Domestic stocks are defined as firms
whose headquarters are based in the United States. They have a mean size of more than
$240 million and a beta of 0.81. Panel B presents contemporaneous correlations. We see
that firms with more flexible prices have higher book-to-market ratios and long-term-debt
ratios, but also lower betas and price-to-cost margins.
In Panel A of Table 8, we report average equally weighted annual returns on the
sample period of July 1997 to June 2013. P1 to P4 are portfolios sorted on Pub% in
ascending order. Since Pub% increases over time, we rebalance P1-P4 portfolios annually
to remove the time effects. Stocks in P1 and P4 have the lowest and highest levels of BLS
publication coverage, respectively. Sticky and flexible portfolios are labeled “S” and “F”,
respectively. The double sorting generates several patterns for the return spread. First,
within sticky-price firms, mean returns decrease monotonically in the level of output-price
transparency. The spread is 15.75 percentage points per year and is statistically and
economically large. Second, the spread in returns between sticky- and flexible-price firms
appears only when publication coverage by BLS is low. The spread is about 9.8 percentage
25
points per year in the lowest decile of BLS publication and decreases as transparency
increases. Third, within flexible-price firms, mean returns increase monotonically with
product-price transparency, and the return spread is about 12 percentage points per year.
In Panel B of Table 8, we report returns adjusted for firm characteristics to
disentangle a premium of our interest from well-known cross-sectional return predictors.
Following Daniel et al. (1997), we report portfolio mean returns after adjusting for firm
characteristics. We calculate benchmark-adjusted returns by subtracting the assigned
portfolio returns from the individual stock returns. For sticky-price firms, the spread
between the transparency portfolios of decile 1 and 4 becomes 9.5 percentage points per
year; for flexible-price firms, the spread between the two extreme portfolios becomes 9.8
percentage points.
In Panels C and D of Table 8, we report average equally weighted annual returns on a
longer sample period, from 1983 to 2013. The patterns in these two panels resemble those
in Panels A and B. For example, for sticky-price firms, the characteristics-adjusted return
spread between the transparency portfolios of deciles 1 and 4 becomes 10.8 percentage
points per year; for flexible-price firms, the spread between the two extreme portfolios is
24 percentage points per year. In addition, sticky-price premia are found in decile 1 and
2. In decile 3 and 4, flexible-price stocks commend a higher premium than sticky-price
stocks.
6.3 Panel Regressions
To control for more confounding factors, we use the following panel-regression equation:
Ri,t = α+β×Stickyj+γ×Stickyj×Pub%k,t+δ×Pub%k,t+X′i,t−1×θ+ηt+ηk+εi,t (9)
Ri,t is annual return (in percent) calculated from July of year t to June of year t+1 for
firm i. Pub%k,t is measured for each 3-digit NAICS sector k as of June of year t. X is a
set of control variables, chosen following Weber (2015), including market capitalization,
β, turnover, bid-ask spread, book-to-market ratio, leverage, cash flow, price-cost margin,
and firm-level HP HHI. Standard errors are adjusted at the 3-digit NAICS sector level.
Size of year t is the natural logarithm of the total market capitalization (in thousands)
in June of year t. β is the regression coefficient in rolling time-series regressions of monthly
26
excess returns on a constant and the excess returns of the CRSP value-weighted index over
the previous 252 trading days. We set β to missing if we have less than 60 daily returns
in the estimation period. Turnover is the ratio of volume to shares outstanding. Spread
is the monthly average of the daily bid-ask spreads from the CRSP Daily Stock file. The
book-to-market (BM ) ratio of year t is then the book equity for the fiscal year ending in
calendar year t-1 over the market equity as of December t-1. Leverage (Lev) is the ratio
of total long-term debt and debt in current liabilities over the sum of the numerator and
shareholders’ equity. Cash flow (CF ) is the sum of income before extraordinary items
and depreciation and amortization over total assets.24
Table 9 reports OLS regression results for annual, non-overlapping percentage
returns. The coefficient on Sticky in column (1) is zero. In column (2), we add
Fama-French 48 industry-fixed effects but again fail to find risk premium for sticky-price
firms. In column (3), we interact Sticky with Pub%. Sticky turns out to be significantly
positive and Sticky × Pub%, significantly negative. Holding Pub% at the mean (0.74),
sticky-price stocks only commend a 2-percentage-point (42-54 × 0.74) higher premium
per year than flexible-price stocks. A one-standard-deviation increase in Pub% (0.21)
reduces the return premium on sticky-price firms by only 1.26 percentage points. For
flexible-price firms, a one-standard deviation increase in Pub% is associated with a
10.1-percentage-point premium.
In column (4), we report results by exploiting variation within Fama-French 48
industries. The economic and statistical magnitudes of Pub% are largely reduced. For
example, a one-standard-deviation increase in Pub% (0.21) reduces 4.7 percentage points
of return premium on sticky-price firms. A one-standard deviation increase in Pub%
increases 5.1 percent points premium for flexible-price firms, but the statistical significance
is weak. In column (5), we exploit variation within 6-digit NAICS sectors, but the
marginal impact of Pub% on sticky firm returns is largely reduced. In column (6)-(8), we
add all the firm characteristics and return predictors and our results are similar. Pub%
now becomes a strong return predictor despite the addition of industry fixed effects. In
column (9)-(14), we replace Pub% with HPub%, a dummy variable equal to 1 if Pub% is
above the sample median, and zero otherwise. The interaction term Sticky ×HPub% is
significantly negative.
24We follow Weber (2015) to select control variables.
27
One concern about the interpretation of results in Table 9 is that BLS publication
coverage simultaneously captures many other economic factors at the 3-digit NAICS
sector level. For example, the number of products captures the substitution across goods
within a sector. Intuitively, firms in sectors experiencing such an increase face greater
competition and therefore become riskier. In fact, this positive effect can dominate the
effect of transparency. Following the same IV strategy in section 4.2, we instrument BLS
publication coverage.
Table 10 reports IV-estimation regression results. Sticky is significantly positive
in most columns, and Sticky × Pub%, or Sticky × HPub%, is significantly negative.
However, Pub% or its dummy version becomes a weak predictor of stock returns, and its
economic magnitude is smaller than that of the interaction term. This finding implies that
(1) annualized returns for sticky-price stocks will unambiguously, monotonically decrease
with the level of BLS publication, and (2) returns for flexible-price firms will weakly but
monotonically increase with the level of BLS publication. In other words, the results in
Table 10 resemble the pattern of mean portfolio returns in Table 8. Table A8 reports IV
estimation results on the sample period from July 1983 to June 2012.
In Table 8, we find that stocks of sticky-price firms command a higher return premium
only in sectors where BLS publication coverage is low. However, we only form two
portfolios based on the frequency of price adjustment. A limitation of the portfolio
analysis is that returns may differ across portfolios for other reasons. In Table 11, we
run panel regressions of stock returns at the firm level on a continuous measure of price
stickiness and a dummy variable indicating whether BLS publication is above or below
sample median. We multiply the frequence of price adjustment by minus 1 to obtain the
continuous measure price stickiness. Columns (1)-(8) report results for OLS regressions
and columns (9)-(13) report results for IV estimations.
The results are in line with the statistic pattern in Table 8. When BLS publication
coverage is low, price stickiness positively predicts stock returns. The results survive if we
only exploit variation of price stickiness within industries. We use column (4) to illustrate
the economic magnitude. For firms located in sectors with low output-price transparency,
a one-standard-deviation increase in stickiness increases annual return premium by 9.2
percentage points (0.17 × 54.5). However, the relation between price stickiness and return
premium reverses when BLS publication coverage ratio becomes high.
28
6.4 Conditional CAPM
We perform time-series tests of the CAPM to explore whether differential exposure to
market risk can explain the impact of BLS publication on the premium for sticky-price
stocks. Following Lewellen and Nagel (2006) and Weber (2015), we estimate the
conditional CAPM monthly on a rolling basis over the previous 12 months as follows:
Rp,s = αp + βp ×Rm,s + εp,s, (10)
where Rp,s is the portfolio excess return, αp is a constant, and Rm,s is the excess return of
the CRSP value-weighted index. The CAPM predicts that exposure to market risk fully
explains the expected excess return, which implies α is zero.
Table 12 reports βs for the conditional CAPM and αs (in percent) per month. We
report Newey and West (1987) corrected t-statistics in parentheses. Panels A and B
report results on the sample period from July 1997 to June 2013. In sticky-price firms,
βs monotonically decreases from 1.27 for portfolio P1 to 1.14 for portfolio P4. When the
frequency of price adjustment is low, the difference in annual returns between stocks in
the two extreme Pub% portfolios is definitely pertaining to their differential exposures
to market risk. However, the conditional CAPM cannot explain the portfolio returns.
Monthly αs are negative, economically large, and statistically significant. They partially
explain return spreads both between sticky-and flexible-price portfolios, conditioning on
BLS publication, and between P1 and P4, conditioning on price stickiness. For flexible-
price firms, β increases from 1.04 for portfolio P1 to 1.20 for portfolio P2, and slightly
declined to 1.16 in P4. This pattern suggests BLS publication coverage increases the risk
exposure of flexible firms, but not monotonically. In Panels C and D, we report results
on the sample period from July 1983 to June 2013. We find similar results.
7 Firms’ Own Private Signals
In this section, we explore the reason why public information becomes a double-edged
sword in the second channel. On a global analysis, when the private signal has precision
no lower than the precision of the public signal, welfare is lower with the public signal
than without (Morris and Shin, 2002; Morris et al., 2006). The intuition is that, although
29
public information is effective in influencing actions, firms also overreact to the noise in
the public signal. Amador and Weill (2010) propose a different mechanism in which the
informativeness of a fundamental is the weight that agents collectively assign to their
forecasts using private information. However, the release of public information leads
agents to put less weight on their private forecasts, making prices less informative. This
prompts agents to put even less weight on their private forecasts, making prices even
less informative, and so on. In this mechanism, public information increases agents’
uncertainty.
We hypothesize that the reason why BLS disclosure has different value implications
for firms is that sticky- and flexible-firms have private signals at different levels of
precisions. In particular, managers of flexible-price firms have much better private signals
that do those of sticky-price firms. While menu costs could be an alternative explanation
for price stickiness, less efficient managers, or managers with higher attention costs, are
directly responsible for firms’ lack of private information, which leads to sticky-output
price.
Unfortunately, it is impossible to infer from metrics from CEO/CFO profiles to know
whether they are more or less informed about firm marginal costs. Thus, we utilize
earnings conference call transcripts to shed some lights on the issue. A conference call is
a teleconference, or webcast, through which security analysts have access management’s
private information. The prescriptions of Regulation FD require public firms to use
conference calls to prompt documentation and dissemination of material information to
all analysts. Regulation FD thereby eliminates the informational advantage an analyst
would otherwise have from private discussions with management. Therefore, managers’
discussions during earnings conference calls provide us a unique setting to gauge the extent
to which managers are privately informed about future marginal costs of their companies,
which is central to a firm’s pricing strategy.
Following several criteria, we count the number of sentences from each transcript that
are related to a manager’s outlook for production cost of his own company. First, the
cost-related-word list includes: cost(s), expense(s), expenditure(s), spend, and spending.25
Second, cost-related sentences are in future tense. Third, more important, we require
exact numbers to be paired with cost-related words. Fourth, we exclude scripts with less
25We only focus on managerial discussions on production costs. We therefore exclude wordingsindicating expenses related to capital expenditure, compensation, mergers and acquisitions and pensions.
30
than 200 words in the presentation section. For example, the sentence “we obviously will
have an input cost inflation of about 3% to 4% throughout the Group” satisfies the three
of our criteria. We seperately search for sentences that are included in the presentation
and Q&A sections. This is because existing studies find that managers discriminate
among analysts during the Q&A section based on how favorably the analyst views the
firm (Mayew, 2008; Cohen et al., 2017).
Figure 4 documents the novel stylized fact. We sort US domestic firms listed on
NYSE/ NASDAQ/AMEX into four equally sized groups with increasing output-price
flexibility. Panel A plots the probability of management quantitatively predicting future
input expenses during the presentation section of a conference call. Moving from firms
with the most rigid output prices to firms with the most flexible output prices increases
the probability from around 43% to over 56%. Panel B plots the mean for the number
of related sentences discussed by CEO/CFO in each conference call. Moving from firms
with the most rigid output prices to firms with the most flexible output prices increases
the number from 2.1 to about 3.
To assess the magnitude of the correlation between price stickiness and managers’
private signals about the trend of input costs, we specify the following linear probability
regression equation:
Discussioni,t = α + β × Sticky%j +X ′i,t−1 × θ + ηk′ + ηt + εi,t. (11)
Discussioni,t is a dummy variable that equals to 1 if CEOs or CFOs provide exact numbers
when discussing the trend of firm i’s input costs in the earnings conference call held in
quarter t, and zero otherwise. Sticky% is a continuous measure of price stickiness, which
is calculated as −1 × FPA at the level of 6-digidit of NAICS sectors. In an alternative
specification, we also create a dummy variable (Sticky10pctl) that equals 1 for the firms
in the bottom 10% of the distribution based on the frequency of price adjustment, and
zero otherwise.
Xi,t−1 is a set of control variables measured as of the beginning of year-quarter t. We
include the dispersion of analysts’ one-year-ahead forecast of earnings per share (scaled
by lagged stock prices), the percentages of equity holdings by institutional investors,
the number of security analysts covering a firm, the number of managers attending the
event, the number of analyst participating the conference calls, market capitalization,
31
book-to-market ratio, price-to-cost margin, and industry concentration. ηt is a set of
year-quarter fixed and ηk is a set of Fama-French-48 industries fixed effects. Standard
errors are clustered at the 6-digit NAICS level.
Table 13 reports the estimates for the coefficients in equation (13). In columns
(1)-(4), managers’ discussion of our interest is searched based on the entire transcript
of conference call. In columns (5)-(8) and (9)-(12), related sentences define the measure
of Discussion are searched based on the presentation and Q&A sections, respectively.
Across all specifications, the sign of the estimated coefficients, β, are in line with the
pattern in Figure 5. Managers of firms with higher degree of price stickiness provide less
detailed estimations about the company’s future input costs. In column (1), the estimated
coefficient for Sticky% is -0.21 (t=5.5). Thus, a one-standard-deviation increase in price
stickiness implies a reduction in the likelihood of managerial discussion of input costs by
3.5% (0.21 × 0.18)– about 8.8% of sample mean. Our results hold in both presentation
and Q&A sessions and are not materially affected if we use a dummy variable to measure
price stickiness. In addition, the results also survive if we only exploit variation within
Fama-French 48 industries, and hence we absorb any time-invariant determinant of the
dependent variable at the industry level.
8 Conclusion
Firms differ in the frequency with which they adjust output prices. A poor information
environment in which firms operate can either cause or be caused by price stickiness.
This simple observation raises an interesting yet unanswered research question: Does a
transparent information environment for product prices create value for sticky-price firms?
In this paper, we measure the transparency of output prices using the staggered
disclosure of product indices compiled by the BLS. An increase in transparency implies
interested parties of a firm can observe more price adjustments made by closely
neighbored, granular sectors. We find two distinct channels by which transparency
creates value for sticky-price firms. First, transparency resolves information frictions
between sticky-price firms and investors. We test this channel by exploiting the
differential of information asymmetries between private and public debt markets. Second,
output-price transparency improves the precision of individual firms’ private signals
32
and encourages them to become more responsive to persistent marginal cost shocks.
This mechanism effectively reduces sticky-price firms’ exposure to systematic risks. To
overcome endogeneity, we exploit an exogenous event in which the Office of Publications
at BLS differentially expands its publication coverage across 3-digit NAICS sectors.
Surprisingly, we also show that more BLS disclosures might negatively affect flexible-
price firms. These firms might have both high quality private information (concerning
cost shocks) as well as strategic motives to coordinate. Our results on cost-pass through
in flexible price sectors are broadly consistent with theoretical predictions proposed by
Morris and Shin (2002) and Amador and Weill (2010), among others, that the detrimental
effects of public information can dominate in equilibrium when firms that have access to
independent sources of information.
Academics and policy makers have heatedly debated the questions why firms
have rigid prices and whether sticky prices burden firms. A growing finance and
macroeconomics literature document novel facts showing that firms with rigid output
prices are more exposed to macroeconomic shocks, experience high volatilities around
monetary policy shocks, and borrow less long-term debt (Weber (2015); Gorodnichenko
and Weber (2016); D’Acunto et al. (2017)). Utilizing data from financial markets, we
contribute to the understanding of the nature of the real effects of nominal price rigidities.
In particular, our empirical results speak to the role of government statistical agencies to
guide firms to make decisions.
33
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36
Figure 1: BLS Publication over Time: January 1997 - December 2012
This figure shows the time series of the mean and standard deviation of the measure of product price
transparency (y-axsis) at the monthly frequency. In each month s (1≤s≤N), Pub% is defined as
Pub%k,s =nk,s
max(nk,1, ..nk,N ),
where k denotes a 3-digit NAICS sector. nk,s is the number of product indices within sector k disclosed by
BLS in month s. max(nk,1, ..nk,N ) is the maximum number of product indices for sector k in our observation
period of January 1997 through May 2016.
.5.6
.7.8
.9
199701 200301200001 200601 200901 201201
37
Figure 2: Difference in Sector Dividends and Marginal Utility
The figure plots the relationship between aggregate dividend Dt, and marginal utility C−γt , as a function of
aggregate output, Yt. We simulate the one-sector general equilibrium model for 200 periods and 500 times,
sort the difference in dividend and marginal utility based on the realization of aggregate output, and take
the average across simulations. We simulate three scenarios, corresponding to the case with low precision
(black line), medium precision (blue line) and high precision (red line). The dividend is measured on the
right y-axis, whereas marginal utility is measured on the right axis.
38
Figure 3: BLS Publication and Pass-Through of Cost Shocks
This figure plots the accumulative pass-through coefficients (y-axsis) estimated from
πj,s = α+
18∑h=1
βs−h × vj,s +
18∑h=1
γs−h × vj,s ×HPub%k,s +
18∑h=1
δs−h ×HPub%k,s + ηj + εj,s,
j, k, and s denote 6- and 3-digit NAICS sectors and month, respectively. vj,s is measured as ∆PPIs ×Input%j. ∆PPIs is the growth rate of the producer price index (PPI) at the aggregate level from month
s-1 to s. For each 6-digit NAICS sector, Input%j is measured as the total intermediate goods as a
fraction of total output for sector j. 1997, 2002, and 2007 input-output accounts data are obtained from
the Bureau of Economic Analysis (BEA). HPub% is a dummy that equals 1 if Pub% is above the sample
median, and zero otherwise. Pub% is measured as the number of product indices published by BLS in a
month as a fraction of the maximum number of products observed in that sector (see equation (3) for a
detailed description). ηj is a set of product fixed effects. Sticky- and flexible-price firm subsamples are
formed based on whether the frequency of price adjustment (FPA) is below or above the sample median.
FPA is measured at the granular sector level (see Table 1 for a detailed description). The sample period
is 1997-2012.
Panel A: Sticky Firms
0.2
.4.6
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
Low Pub% High Pub%
Panel B: Flexible Firms
.2.4
.6.8
1
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
Low Pub% High Pub%39
Figure 4: Predicted BLS Publication and Pass-Through of Cost Shocks
This figure plots the accumulative pass-through coefficients (y-axsis) estimated from
πj,s = α+
18∑h=1
βs−h × vj,s +
18∑h=1
γs−h × vj,s ×H Pub%k,s +
18∑h=1
δs−h ×H Pub%k,s + ηj
+ εj,s,
j, k, and s denote 6- and 3-digit NAICS sectors and month, respectively. vj,s is measured as ∆PPIs ×Input%j. ∆PPIs is the growth rate of the producer price index (PPI) at the aggregate level from month
s-1 to s. For each 6-digit NAICS sector, Input%j is measured as the total intermediate goods as a fraction
of total output for sector j. 1997, 2002, and 2007 input-output accounts data are obtained from the Bureau
of Economic Analysis (BEA). HPub% is a dummy that equals 1 if P ub% is above the sample median,
and zero otherwise. P ub% is the predicted value of Pub% (see equation (5) for detail description). Pub%
is measured as the number of product indices published by BLS in a month as a fraction of the maximum
number of products observed in that sector (see equation (3) for a detailed description). ηj is a set of
product fixed effects. Sticky- and flexible-price firm subsamples are formed based on whether the frequency
of price adjustment (FPA) is below or above the sample median. FPA is measured at the granular sector
level (see Table 1 for a detailed description). The sample period is 1997-2012.
Panel A: Sticky Firms
0.1
.2.3
.4.5
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
Low Pub% High Pub%
Panel B: Flexible Firms
.2.4
.6.8
1
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
Low Pub% High Pub%40
Figure 5: Price Stickiness and Managers’ Dissemination of Private Information
This figure plots the average incidence and intensity of managers’ dissemination of private information
about the trend of input costs during earnings conference calls for groups of firms with increasing frequency
of price adjustment. The sample is restricted on common stocks (listed on NYSE, AMEX, and NASAQ)
of firms whose headquarters are based in the United States. Utilities and Financial sectors are excluded.
Sample firms are assigned to four baskets based on the frequency of price adjustment (FPA). FPA is
measured at the level of 6-digit North American Industry Classification System (NAICS). Panel A plots
the average probability of managers providing quantitative estimation about the trend of input costs during
the earnings conference call. Panel B plots the average number sentences related to quantitative estimation
about the trend of input costs. The sample period is 2002-2012.
Panel A: Probability
.4.4
5.5
.55
.6P
roba
bilit
y
1 23 4
Panel B: Number of Sentences
22.
22.
42.
62.
83
Num
ber o
f Sen
tenc
es
1 23 4
41
Table 1: BLS Publication and the Frequency of Price Adjustment across Sectors
This table reports descriptive statistics for BLS publication Pub% and the frequency of price adjustment
(FPA) across 3-digit sectors according to the North American Industry Classification System (NAICS).
For each 3-digit sector k, Pub% is measured as the number of product indices published by BLS in a
month as a fraction of the maximum number of products observed in that sector (see equation (3) for a
detailed description). The end of the observation period is May 2016. In the sample period of 2002-2012,
the frequency of price adjustment is calculated by Pasten, Schoenle, and Weber (2017), by aggregating
frequencies of price adjustment at the goods level into 5- and 6-digit NAICS sectors. Equally weighted
probabilities of price adjustments at the goods level are calculated using the micro-data underlying the
Producer Price Index (PPI) constructed by the Bureau of Labor Statistics (BLS). The granularity for
FPA is at the 6-digit level. If 6-digit FPA is not available, the 5-digit FPA is used.
Industry Name NAICS Pub% PAFMean Std Mean Std
Forestry and Logging 113 0.70 0.10 0.19 0.00Oil and Gas Extraction 211 0.89 0.12 0.82 0.08Mining (except Oil and Gas) 212 0.87 0.09 0.30 0.23Support Activities for Mining 213 0.84 0.09 0.14 0.05Utilities 221 0.87 0.12 0.47 0.13Construction of Buildings 236 0.69 0.23 0.29 0.09Specialty Trade Contractors 238 0.97 0.05Food Manufacturing 311 0.82 0.08 0.29 0.14Beverage and Tobacco Product Manufacturing 312 0.67 0.11 0.22 0.07Textile Mills 313 0.75 0.12 0.18 0.04Textile Product Mills 314 0.80 0.10 0.17 0.10Apparel Manufacturing 315 0.67 0.19 0.12 0.02Leather and Allied Product Manufacturing 316 0.63 0.16 0.13 0.07Wood Product Manufacturing 321 0.76 0.23 0.27 0.12Paper Manufacturing 322 0.72 0.14 0.28 0.11Printing and Related Support Activities 323 0.76 0.18 0.14 0.04Petroleum and Coal Products Manufacturing 324 0.83 0.10 0.35 0.22Chemical Manufacturing 325 0.83 0.11 0.26 0.11Plastics and Rubber Products Manufacturing 326 0.80 0.15 0.25 0.06Nonmetallic Mineral Product Manufacturing 327 0.85 0.11 0.21 0.09Primary Metal Manufacturing 331 0.72 0.14 0.31 0.07Fabricated Metal Product Manufacturing 332 0.83 0.10 0.16 0.03Machinery Manufacturing 333 0.80 0.10 0.13 0.03Computer and Electronic Product Manufacturing 334 0.85 0.13 0.14 0.05Electrical Equipment, Appliance, and Component Manufacturing 335 0.84 0.13 0.20 0.07Transportation Equipment Manufacturing 336 0.73 0.18 0.20 0.13Furniture and Related Product Manufacturing 337 0.79 0.17 0.13 0.03Miscellaneous Manufacturing 339 0.88 0.04 0.15 0.03Merchant Wholesalers, Durable Goods 423 0.48 0.27 0.26 0.00Merchant Wholesalers, Nondurable Goods 424 0.43 0.21 0.34 0.00Wholesale Electronic Markets and Agents and Brokers 425 0.81 0.14 0.15 0.00Recyclable Materials 429 0.94 0.05Motor Vehicle and Parts Dealers 441 0.82 0.26 0.31 0.24Furniture and Home Furnishings Stores 442 0.98 0.09 0.22 0.04Electronics and Appliance Stores 443 0.51 0.27Building Material and Garden Equipment and Supplies Dealers 444 0.93 0.23 0.27 0.07Food and Beverage Stores 445 0.71 0.12 0.25 0.05Health and Personal Care Stores 446 0.81 0.16 0.17 0.03Gasoline Stations 447 0.60 0.19 0.30 0.06Clothing and Clothing Accessories Stores 448 0.55 0.18 0.17 0.05Sporting Goods, Hobby, Musical Instrument, and Book Stores 451 0.63 0.12 0.17 0.02General Merchandise Stores 452 0.81 0.29 0.27 0.02Miscellaneous Store Retailers 453 0.71 0.18 0.16 0.04Nonstore Retailers 454 0.59 0.24 0.36 0.20Air Transportation 481 0.69 0.17 0.20 0.14Rail Transportation 482 0.81 0.09 0.40 0.00Water Transportation 483 0.71 0.31 0.25 0.05Truck Transportation 484 0.56 0.29 0.23 0.10Pipeline Transportation 486 0.86 0.17 0.23 0.02Support Activities for Transportation 488 0.65 0.17 0.14 0.03Postal Service 491 0.48 0.04 0.21 0.00Couriers and Messengers 492 0.71 0.31 0.19 0.09Warehousing and Storage 493 0.80 0.16 0.12 0.01Publishing Industries (except Internet) 511 0.63 0.16 0.12 0.03Broadcasting (except Internet) 515 0.73 0.25 0.27 0.07Telecommunications 517 0.80 0.11 0.33 0.22Data Processing, Hosting, and Related Services 518 0.88 0.15 0.11 0.00Other Information Services 519 1.00 0.00Credit Intermediation and Related Activities 522 0.85 0.09 0.50 0.01Securities, Commodity Contracts, and Other Financial Investments and Related Activities 523 0.84 0.26 0.19 0.13Insurance Carriers and Related Activities 524 0.79 0.25 0.21 0.07Real Estate 531 0.69 0.28 0.19 0.10Rental and Leasing Services 532 0.78 0.21 0.18 0.09Professional, Scientific, and Technical Services 541 0.56 0.19 0.09 0.02Administrative and Support Services 561 0.68 0.19 0.13 0.02Waste Management and Remediation Services 562 0.68 0.31 0.11 0.00Educational Services 611 1.00 0.00Ambulatory Health Care Services 621 0.34 0.11 0.13 0.01Hospitals 622 0.60 0.07 0.11 0.02Nursing and Residential Care Facilities 623 0.47 0.24 0.17 0.00Amusement, Gambling, and Recreation Industries 713 0.87 0.24 0.14 0.04Accommodation 721 0.60 0.32 0.21 0.05Repair and Maintenance 811 0.56 0.00Administration of Environmental Quality Programs 924 0.97 0.04
42
Tab
le2:
Sum
mary
Sta
tist
ics
and
Corr
ela
tions:
SD
C/D
ealS
can-C
om
pust
at
Merg
ed
Sam
ple
16.5
cmT
his
tabl
ere
port
sdes
crip
tive
stati
stic
sfo
rB
LS
pu
blic
ati
onPub%
an
dth
efr
equ
ency
of
pri
ceadju
stm
ent
(FP
A)
acr
oss
3-d
igit
sect
ors
acc
ord
ing
toth
eN
ort
hA
mer
ican
Indu
stry
Cla
ssifi
cati
on
Sys
tem
(NA
ICS
).F
or
each
3-d
igit
sect
or
k,Pub%
ism
easu
red
as
the
nu
mbe
rof
pro
du
ctin
dic
espu
blis
hed
byB
LS
ina
mon
thas
afr
act
ion
of
the
maxi
mu
mn
um
ber
of
pro
du
cts
obs
erve
din
that
sect
or
(see
equ
ati
on
(3)
for
adet
ail
eddes
crip
tion
).T
he
end
of
the
obs
erva
tion
peri
odis
May
2016.
Inth
esa
mple
peri
odof
2002-2
012,
the
freq
uen
cyof
pri
ceadju
stm
ent
isca
lcu
late
dby
Past
enet
al.
(2017),
by
agg
rega
tin
gfr
equ
enci
esof
pri
ceadju
stm
ent
at
the
good
sle
vel
into
5-
an
d6-d
igit
NA
ICS
sect
ors
.E
quall
yw
eigh
ted
pro
babi
liti
esof
pri
ceadju
stm
ents
at
the
good
sle
vel
are
calc
ula
ted
usi
ng
the
mic
ro-d
ata
un
der
lyin
gth
eP
rodu
cer
Pri
ceIn
dex
(PP
I)co
nst
ruct
edby
the
Bu
reau
of
Labo
rS
tati
stic
s(B
LS
).
The
gran
ula
rity
for
FP
Ais
at
the
6-d
igit
leve
l.If
6-d
igit
FP
Ais
not
ava
ilabl
e,th
e5-d
igit
FP
Ais
use
d.
Pan
elA
:M
ean
s,M
edia
ns
an
dS
tan
dard
Dev
iati
on
s
Poole
dB
on
dL
oan
NM
ean
p50
std
NM
ean
p50
std
NM
ean
p50
std
Deb
tS
pre
ad
12,1
50
175.4
4150.0
0133.7
52471
214.3
4158.0
0158.2
59679
165.5
0150.0
0124.8
2F
PA
12,1
50
0.2
90.2
00.2
22471
0.3
50.2
60.2
49679
0.2
70.1
90.2
1P
ub
%12,1
50
0.7
50.7
40.1
82471
0.7
90.7
60.1
59679
0.7
40.7
40.1
9P
rofi
tab
ilit
y12150
0.0
80.0
80.0
92471
0.1
00.0
90.0
89679
0.0
80.0
80.1
0L
n(S
ale
s)12,1
50
7.2
87.3
61.9
12471
8.5
08.6
61.4
39679
6.9
77.0
21.8
9B
M12,1
50
0.6
90.5
41.0
92471
0.5
80.4
90.5
79679
0.7
10.5
61.1
8In
tangib
ilit
y12,1
50
0.3
00.2
70.2
02471
0.3
00.2
90.1
79679
0.3
00.2
70.2
0L
ev12,1
50
0.2
50.2
30.1
92471
0.2
80.2
70.1
59679
0.2
40.2
20.1
9P
CM
12,1
50
0.1
80.1
50.1
92471
0.2
10.1
90.1
69679
0.1
70.1
40.1
9H
PH
HI
12,1
50
0.2
10.1
50.2
02471
0.1
90.1
30.1
79679
0.2
20.1
50.2
0
Pan
elB
:C
onte
mp
ora
neo
us
Corr
elati
on
sD
ebt
Sp
read
FP
AP
ub
%P
rofi
tab
ilit
yL
n(S
ale
s)B
MIn
tan
gib
ilit
yL
evP
CM
HP
HH
ID
ebt
Sp
read
1.0
0F
PA
0.0
31.0
0P
ub
%0.0
10.2
01.0
0P
rofi
tab
ilit
y-0
.36
-0.1
00.0
11.0
0L
n(S
ale
s)-0
.35
0.0
50.1
30.2
91.0
0B
M0.0
70.0
90.0
0-0
.10
-0.0
51.0
0In
tan
gib
ilit
y-0
.05
-0.3
00.0
20.0
50.1
8-0
.04
1.0
0L
ev0.2
40.2
40.0
0-0
.09
0.0
5-0
.05
0.0
71.0
0P
CM
-0.1
90.3
10.1
50.5
10.1
50.0
0-0
.03
0.1
31.0
0H
PH
HI
0.0
6-0
.27
0.0
40.0
3-0
.12
-0.0
20.1
1-0
.07
-0.1
21.0
0
43
Tab
le3:
BL
SP
ublica
tion,P
rice
Sti
ckin
ess
,and
Borr
ow
ing
Cost
s:January
1997-
Dece
mb
er
2012,O
LS
Regre
ssio
n
This
tabl
ere
port
sth
ere
sult
sfo
res
tim
ati
ng
the
foll
ow
ing
lin
ear
equ
ati
on
:
Spreadq,j,s
=α
+β×Bondi,s
+γ×Bondi,s×Pub%
j,s
+X′ i,t−
1×θ
+η t
+η i
+ε q,j,s,
The
Gre
at
Rec
essi
on
peri
od(D
ecem
ber
2007
toJ
un
e2009)
isex
clu
ded
.U
tili
ties
an
dF
inan
cial
sect
ors
are
excl
uded
.q,
i,j,
k,s,
an
dt
den
ote
dea
l,fi
rm,
6-
an
d3-d
igit
NA
ICS
sect
ors
an
dm
on
th,
an
dye
ar,
resp
ecti
vely
.S
tick
y-an
dfl
exib
le-p
rice
-firm
subs
am
ple
sare
form
edba
sed
on
whet
her
the
freq
uen
cy
of
pri
ceadju
stm
ent
(FP
A)
isbe
low
or
abo
veth
esa
mple
med
ian
.F
PA
ism
easu
red
at
the
gran
ula
rse
ctor
leve
l(s
eeT
abl
e1
for
adet
ail
eddes
crip
tion
).
Spre
ad
isth
ediff
eren
cebe
twee
nth
ebo
nd,
or
syn
dic
ate
dlo
an
,in
tere
stra
tean
dth
eri
sk-f
ree
rate
.B
on
dis
an
indic
ato
rva
riabl
eeq
ual
to1
ifa
firm
borr
ow
sa
pu
blic
bon
d,
an
dze
roif
the
firm
borr
ow
sa
loan
.Pub%
ism
easu
red
as
the
nu
mbe
rof
pro
du
ctin
dic
espu
blis
hed
byB
LS
ina
mon
thas
a
fract
ion
of
the
maxi
mu
mn
um
ber
of
pro
du
cts
obs
erve
din
that
sect
or
(see
equ
ati
on
(3)
for
adet
ail
eddes
crip
tion
).HPub%
isa
du
mm
yth
at
equ
als
1
ifPub%
isabo
veth
esa
mple
med
ian
,an
dze
rooth
erw
ise.
X′ i,t−
1is
ave
ctor
of
addit
ion
al
con
trols
(see
Tabl
e2
for
adet
ail
eddes
crip
tion
).S
tan
dard
erro
rsare
clu
ster
edat
the
3-d
igit
NA
ICS
leve
l.
Sti
cky
Fle
xib
leS
tick
yF
lexib
le(1
)(2
)(3
)(4
)(5
)(6
)(7
)(8
)B
on
d242.3
6***
240.4
2***
175.3
6***
180.1
2***
131.1
1***
131.5
5***
126.9
4***
129.2
8***
(6.6
5)
(6.6
5)
(4.6
9)
(4.7
9)
(10.3
8)
(10.2
3)
(9.5
1)
(9.3
6)
Bon
d×
Pu
b%
-180.7
4***
-176.4
6***
-72.9
6-7
6.8
0(-
4.1
9)
(-4.1
5)
(-1.4
3)
(-1.5
1)
Pu
b%
-8.3
812.6
7-2
.06
13.9
2(-
0.3
2)
(0.6
2)
(-0.0
7)
(0.5
4)
Bon
d×
HP
ub
%-4
9.1
7***
-47.7
0***
-12.7
1-1
3.7
1(-
4.3
7)
(-4.0
3)
(-0.7
1)
(-0.7
5)
HP
ub
%-1
.12
1.4
2-8
.26
-4.8
0(-
0.1
8)
(0.2
7)
(-0.7
4)
(-0.4
2)
Tota
lV
ol
2304.5
8***
2337.6
6***
2294.1
6***
2311.7
5***
(9.3
1)
(7.9
6)
(9.4
3)
(7.6
2)
Pro
fita
bilit
y-2
56.1
8***
-171.6
9***
-109.1
9-8
6.6
1-2
52.8
8***
-169.1
9***
-107.9
7-8
3.6
1(-
4.7
2)
(-4.0
3)
(-1.4
6)
(-1.2
9)
(-4.6
8)
(-3.9
7)
(-1.4
7)
(-1.2
6)
Ln
(Sale
s)-2
8.2
4***
-24.6
8***
-26.0
8***
-20.0
5***
-28.4
7***
-24.9
7***
-27.3
4***
-21.2
8***
(-5.6
2)
(-5.0
0)
(-3.6
5)
(-2.9
6)
(-5.5
9)
(-5.0
4)
(-4.0
5)
(-3.3
7)
BM
2.7
12.9
0-1
.45
-0.6
22.7
82.9
5-1
.30
-0.6
0(0
.94)
(1.1
2)
(-0.4
7)
(-0.2
0)
(0.9
8)
(1.1
4)
(-0.4
1)
(-0.1
9)
Inta
ngib
ilit
y-2
6.6
8-1
2.3
729.6
639.0
9-2
9.4
3-1
5.4
729.6
239.6
8(-
1.1
4)
(-0.5
9)
(0.5
9)
(0.8
2)
(-1.2
5)
(-0.7
3)
(0.5
9)
(0.8
3)
Lev
93.0
8***
75.6
4***
112.9
2***
94.6
3***
93.1
6***
75.8
5***
115.8
6***
97.6
1***
(5.6
8)
(4.2
9)
(3.5
9)
(3.2
3)
(5.6
6)
(4.2
9)
(3.5
7)
(3.2
3)
PC
M-6
7.3
5***
-56.6
8**
-34.5
4***
-24.2
3-6
7.8
3***
-57.7
6**
-34.9
1***
-24.9
2(-
3.6
5)
(-2.2
1)
(-3.2
7)
(-1.5
9)
(-3.6
5)
(-2.2
4)
(-3.2
8)
(-1.6
6)
HP
HH
I15.9
213.3
432.7
7**
25.8
2*
16.9
014.4
133.4
5**
26.2
6*
(1.2
1)
(1.1
7)
(2.1
6)
(1.8
7)
(1.2
9)
(1.2
7)
(2.2
1)
(1.8
8)
Con
stant
463.2
7***
337.9
2***
393.6
9***
265.0
9***
450.7
2***
343.7
1***
403.6
8***
286.5
1***
(9.8
4)
(7.5
9)
(5.9
8)
(4.0
6)
(10.5
6)
(8.4
1)
(6.6
1)
(4.7
8)
Yea
rF
EY
esY
esY
esY
esY
esY
esY
esY
esF
irm
FE
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
N6526
6525
4161
4160
6526
6525
4161
4160
ad
j.R
20.6
50.6
70.6
40.6
50.6
50.6
70.6
30.6
5
t-st
ati
stic
sin
pare
nth
eses
∗p<
0.1
0,∗∗p<
0.0
5,∗∗∗p<
0.0
1
44
Table 4: First-Stage Regression: January 1997-December 2012
This table reports the results for estimating the following linear equation:
Pub%i,k,s
= α+ β ×∆Pub%2004k × Post+X ′i,t−1 × θ + ηk + ηt + εi,s,
i, k, and s denote firm, 3-digit NAICS, and month, respectively. The Great Recession period (December
2007 to June 2009) is excluded. Utilities and Financial sectors are excluded. Pub%2004k is the difference
in Pub% between November 2003 and January 2004 for each 3-digit NAICS sector k. For each k, Pub%
is measured as the number of product indices published by BLS in a month as a fraction of the maximum
number of products observed in that sector (see equation (3) for a detailed description). Post is an
indicator equal to 1 if month s is from January 2004 through December 2012, and zero otherwise. ηkis a set of 3-digit sector fixed effects. ηt is a set of year fixed effects. X ′i,t−1 is a vector of additional
controls (see Table 2 for a detailed description). Standard errors are clustered at the 3-digit NAICS level.
In columns (1) - (3) the dependent variable is Pub%. In columns (4) - (6), the dependent variable is
HPub%. HPub% is a dummy that equals 1 if Pub% is above the sample median, and zero otherwise.
Sticky- and flexible- price subsamples are formed based on whether the frequency of price adjustment
(FPA) is below or above the sample median. FPA is price adjustment frequency at the granular sector
level (see Table 1 for a detailed description).
Pub% HPub%Pooled Sticky Flexible Pooled Sticky Flexible(1) (2) (3) (4) (5) (6)
∆ Pub%2004 × Post 0.88*** 1.00*** 0.82*** 1.66*** 1.67*** 1.81***(12.77) (14.27) (10.51) (4.77) (2.76) (4.30)
Profitability 0.01 -0.00 0.02 -0.00 0.05 -0.03(1.33) (-0.13) (1.23) (-0.03) (0.61) (-0.28)
Ln(Sales) 0.00 -0.00 -0.00 0.00** 0.01*** 0.00(0.39) (-0.39) (-0.10) (2.35) (2.93) (0.95)
BM 0.00 -0.00 -0.00 -0.00 -0.00 -0.00(0.02) (-1.17) (-0.38) (-0.16) (-0.03) (-0.15)
Intangibility -0.00 0.00 0.00 0.03 0.04 -0.00(-0.79) (0.44) (0.08) (0.98) (0.93) (-0.10)
Lev -0.01 -0.00 -0.01 -0.01 -0.02 0.03(-1.63) (-0.90) (-1.40) (-0.41) (-0.59) (1.15)
PCM 0.01 0.01 0.01 0.01 -0.02 0.02(1.31) (0.71) (1.63) (0.29) (-0.46) (0.61)
HP HHI -0.00 0.00 -0.03* -0.02 0.00 -0.05(-0.44) (0.98) (-1.76) (-0.84) (0.03) (-0.94)
Constant 0.77*** 0.76*** 0.81*** 0.63*** 0.59*** 0.69***(47.54) (35.63) (52.62) (7.17) (4.22) (5.14)
Year FE Yes Yes Yes Yes Yes YesNAICS3 FE Yes Yes Yes Yes Yes YesF-Stat 163.18 203.66 110.53 22.71 7.63 18.53N 13836 7328 4715 13836 7328 4715adj. R2 0.94 0.95 0.93 0.72 0.71 0.74
t-statistics in parentheses∗p < 0.10, ∗ ∗ p < 0.05, ∗ ∗ ∗p < 0.01
45
Tab
le5:
BL
SP
ublica
tion,
Pri
ceSti
ckin
ess
,and
Borr
ow
ing
Cost
s:January
1997-D
ece
mb
er
2012,
IVE
stim
ati
on
This
tabl
ere
port
sth
ere
sult
sfo
res
tim
ati
ng
the
foll
ow
ing
lin
ear
equ
ati
on
:
Spreadq,j,s
=α
+β×Bondi,s
+γ×Bondi,s×Pub%
j,s
+δ×Pub%
j,s
+X′ i,t−
1×θ
+η i
+η t
+ε q,j,s,
See
equ
ati
on
(5)
for
the
des
crip
tion
of
the
IVappro
ach
.T
he
Gre
at
Rec
essi
on
peri
od(D
ecem
ber
2007
toJ
un
e2009)
isex
clu
ded
.U
tili
ties
an
dF
inan
cial
sect
ors
are
excl
uded
.q,
i,j,
k,s,
an
dt
den
ote
dea
l,fi
rm,
6-
an
d3-d
igit
NA
ICS
sect
ors
,m
on
th,
an
dye
ar,
resp
ecti
vely
.S
pre
ad
isth
ediff
eren
cebe
twee
n
the
bon
d,
or
syn
dic
ate
dlo
an
,in
tere
stra
tean
dth
eri
sk-f
ree
rate
.B
on
dis
an
indic
ato
rva
riabl
eeq
ual
to1
iffi
rmi
borr
ow
sa
pu
blic
bon
d,
an
dze
roif
the
firm
borr
ow
sa
loan
.F
or
each
k,Pub%
ism
easu
red
as
the
nu
mbe
rof
pro
du
ctin
dic
espu
blis
hed
byB
LS
ina
mon
thas
afr
act
ion
of
the
maxi
mu
m
nu
mbe
rof
pro
du
cts
obs
erve
din
that
sect
or
(see
equ
ati
on
(3)
for
adet
ail
eddes
crip
tion
).X′ i,t−
1is
ave
ctor
of
addit
ion
al
con
trols
(see
Tabl
e2
for
a
det
ail
eddes
crip
tion
).S
tan
dard
erro
rsare
clu
ster
edat
the
3-d
igit
NA
ICS
leve
l.S
tick
y-an
dfl
exib
le-
pri
cesu
bsam
ple
sare
form
edba
sed
on
whet
her
FP
A
isbe
low
or
abo
veth
esa
mple
med
ian
.F
PA
isth
efr
equ
ency
of
pri
ceadju
stm
ent
at
the
gran
ula
rse
ctor
leve
l(s
eeT
abl
e1
for
adet
ail
eddes
crip
tion
).
Sti
cky
Fle
xib
leS
tick
yF
lexib
le(1
)(2
)(3
)(4
)(5
)(6
)(7
)(8
)B
on
d207.5
6***
205.3
7***
251.0
1**
254.0
9**
129.6
5***
131.0
7***
162.3
8***
164.5
1***
(3.8
4)
(3.9
9)
(2.5
2)
(2.5
8)
(9.1
5)
(9.6
3)
(4.0
1)
(4.0
7)
Bon
d×
Pu
b%
-136.5
9**
-131.9
9**
-169.5
8-1
71.2
9(-
2.0
6)
(-2.0
9)
(-1.4
3)
(-1.4
6)
Pu
b%
6.4
329.4
4-8
.83
4.9
8(0
.31)
(1.6
0)
(-0.2
4)
(0.1
5)
Bon
d×
HP
ub
%-4
6.7
9**
-46.6
5**
-64.7
7-6
5.4
8(-
2.3
8)
(-2.4
9)
(-1.3
7)
(-1.3
9)
HP
ub
%1.4
514.2
0-5
.45
1.4
7(0
.13)
(1.3
2)
(-0.3
5)
(0.1
0)
Tota
lV
ol
2317.4
1***
2336.6
7***
2311.3
8***
2317.4
6***
(10.8
8)
(9.1
3)
(11.2
5)
(8.9
5)
Pro
fita
bilit
y-2
57.9
8***
-172.9
8***
-108.8
7-8
6.0
3-2
53.6
3***
-169.9
3***
-108.4
5-8
4.4
7(-
5.5
4)
(-4.7
9)
(-1.6
1)
(-1.4
0)
(-5.3
7)
(-4.5
2)
(-1.6
3)
(-1.4
1)
Ln
(Sale
s)-2
8.1
7***
-24.5
9***
-26.2
6***
-20.2
7***
-28.5
1***
-25.1
9***
-28.2
6***
-21.7
4***
(-6.6
8)
(-5.8
9)
(-4.3
7)
(-3.5
6)
(-6.6
4)
(-5.9
8)
(-5.1
8)
(-4.0
5)
BM
2.7
22.9
2-1
.71
-0.8
92.7
62.9
1-1
.30
-0.5
9(1
.13)
(1.3
5)
(-0.6
3)
(-0.3
4)
(1.1
5)
(1.3
2)
(-0.4
5)
(-0.2
1)
Inta
ngib
ilit
y-2
7.3
6-1
2.8
627.7
037.1
4-2
9.5
4-1
5.1
722.2
132.2
6(-
1.3
5)
(-0.7
1)
(0.6
1)
(0.8
5)
(-1.4
7)
(-0.8
3)
(0.4
9)
(0.7
4)
Lev
92.4
6***
75.1
2***
112.4
4***
94.2
0***
92.8
2***
76.2
5***
117.5
7***
98.4
4***
(6.5
7)
(4.9
7)
(4.0
3)
(3.5
9)
(6.5
6)
(4.9
4)
(3.9
0)
(3.4
2)
PC
M-6
6.2
4***
-55.5
4**
-34.9
8***
-24.6
9*
-67.5
7***
-56.9
6***
-36.9
0***
-26.8
1*
(-4.2
7)
(-2.5
6)
(-3.5
7)
(-1.7
6)
(-4.4
0)
(-2.6
7)
(-3.4
1)
(-1.8
4)
HP
HH
I15.9
113.3
431.5
1**
24.5
7**
16.7
914.0
732.2
7**
25.0
5**
(1.3
9)
(1.3
5)
(2.3
0)
(1.9
9)
(1.4
9)
(1.4
2)
(2.3
9)
(2.0
3)
Yea
rF
EY
esY
esY
esY
esY
esY
esY
esY
esF
irm
FE
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
N5923
5922
3935
3933
5923
5922
3935
3933
t-st
ati
stic
sin
pare
nth
eses
∗p<
0.1
0,∗∗p<
0.0
5,∗∗∗p<
0.0
1
46
Table 6: BLS Publication, Price Stickiness, and Cost Pass-Through
This table reports the results for estimating the following linear equation:
πjs = α+
18∑h=1
βs−h × vs,j +
18∑h=1
γs−h × vs ×HPub%k,s +
12∑h=1
δs−h ×HPub%k,s + ηj
+ εj,s,
j, k, and s denote 6- and 3-digit NAICS sectors and month, respectively. vs is measured as ∆PPIs ×Input%j. ∆PPIs is the growth rate of the producer price index (PPI) at the aggregate level from month
s-1 to s. For each 6-digit NAICS sector, Input%j is measured as the total intermediate goods as a fraction
of total outputfor sector j. 1997, 2002, and 2007 input-output accounts data are obtained from the Bureau
of Economic Analysis (BEA). For each k, Pub% is measured as the number of product indices published
by BLS in a month as a fraction of the maximum number of products observed in that sector (see equation
(3) for a detailed description). ηj
is a set of product fixed effects. Standard errors are clustered at the
product level. The sample period is 1997-2012.
OLS IVSticky Flexible Sticky Flexible(1) (2) (3) (4)
vs−1 0.05*** 0.28*** 0.05*** 0.44***(8.63) (12.44) (5.23) (10.35)
vs−2 0.02*** 0.17*** 0.03*** 0.11***(4.01) (13.87) (3.00) (8.38)
vs−3 0.04*** 0.12*** 0.00 0.07***(7.38) (11.61) (0.38) (5.67)
vs−4 0.03*** 0.04*** 0.02** 0.02*(6.63) (3.50) (2.53) (1.92)
vs−5 0.04*** 0.06*** 0.02** 0.05***(7.63) (7.44) (2.39) (5.68)
vs−6 0.02*** 0.01 0.01* 0.01(4.34) (0.77) (1.69) (0.48)
vs−7 0.04*** 0.03*** 0.02** 0.01(7.82) (3.16) (2.54) (0.49)
vs−8 0.03*** -0.00 0.03*** -0.01(6.71) (-0.43) (5.38) (-1.29)
vs−9 0.03*** 0.02** 0.04*** 0.00(7.33) (2.19) (5.89) (0.07)
vs−10 0.04*** 0.04*** 0.04*** 0.07***(10.71) (5.04) (5.13) (6.05)
vs−11 0.03*** 0.02*** 0.04*** 0.03***(6.78) (2.87) (4.81) (3.08)
vs−12 -0.00 0.01 -0.01 0.02(-0.00) (0.62) (-1.56) (1.45)
vs−13 0.04*** -0.01 0.01 -0.04***(6.68) (-0.81) (1.30) (-2.95)
vs−14 -0.01 0.01 -0.02** -0.01(-1.51) (1.57) (-2.54) (-1.18)
vs−15 0.02*** 0.03*** -0.01 0.02*(4.94) (3.52) (-1.00) (1.69)
vs−16 0.02*** 0.03*** 0.01 0.04***(5.71) (3.87) (1.40) (3.68)
vs−17 0.00 -0.00 0.00 0.01(0.50) (-0.09) (0.08) (0.55)
vs−18 0.01** -0.00 0.02*** 0.03***(2.35) (-0.00) (2.59) (2.90)
vs−1 × HPub% 0.01 0.01 -0.01 -0.29***(0.79) (0.53) (-0.55) (-6.44)
vs−2 × HPub% 0.01* -0.07*** -0.00 0.08***(1.87) (-3.91) (-0.08) (4.33)
vs−3 × HPub% -0.02*** -0.07*** 0.04*** 0.05***(-2.91) (-3.89) (4.29) (2.71)
vs−4 × HPub% 0.01* 0.07*** 0.02** 0.07***(1.80) (4.16) (2.34) (4.18)
vs−5 × HPub% 0.00 0.02* 0.02*** 0.01(0.54) (1.66) (2.77) (0.45)
vs−6 × HPub% 0.01 0.05*** 0.01* 0.02(1.35) (4.03) (1.78) (1.28)
vs−7 × HPub% 0.01 0.01 0.04*** 0.06***(1.39) (0.47) (4.50) (4.42)
vs−8 × HPub% -0.02** 0.02* -0.02*** 0.02(-2.20) (1.80) (-2.96) (1.42)
vs−9 × HPub% 0.02** 0.03** -0.00 0.06***(2.31) (2.38) (-0.46) (4.34)
vs−10 × HPub% -0.00 -0.00 0.01 -0.04***(-0.72) (-0.20) (0.81) (-3.12)
vs−11 × HPub% 0.03*** -0.01 0.01 -0.03**(3.73) (-0.44) (1.08) (-2.39)
vs−12 × HPub% -0.00 0.02 0.01* -0.00(-0.06) (1.61) (1.81) (-0.04)
vs−13 × HPub% -0.01 0.03* 0.02 0.06***(-1.41) (1.87) (1.64) (3.93)
vs−14 × HPub% 0.02* -0.03** 0.02* 0.02*(1.92) (-2.18) (1.88) (1.65)
vs−15 × HPub% -0.00 -0.03** 0.04*** -0.01(-0.59) (-2.37) (4.28) (-0.52)
vs−16 × HPub% 0.01* -0.04*** 0.02** -0.03**(1.82) (-2.77) (2.39) (-2.29)
vs−17 × HPub% 0.02*** -0.01 0.01 -0.03**(2.71) (-0.80) (1.00) (-2.15)
vs−18 × HPub% 0.01* 0.04*** -0.02* -0.04***(1.67) (3.43) (-1.96) (-2.87)
HPub% -0.00*** -0.00 0.00*** 0.00***(-5.70) (-1.09) (6.54) (11.17)
Constant 0.00*** 0.00*** 0.00*** 0.00***(29.17) (14.09) (16.38) (7.93)
N 213,925 197,501 212,245 196,417
adj. R2 0.03 0.04 0.03 0.05
t-statistics in parentheses∗p < 0.10, ∗ ∗ p < 0.05, ∗ ∗ ∗p < 0.01
47
Tab
le7:
Sum
mary
Sta
tist
ics
and
Corr
ela
tions:
CR
SP
-Com
pust
at
Merg
ed
Sam
ple
This
tabl
ere
port
sdes
crip
tive
stati
stic
sfo
rth
eva
riabl
esu
sed
inth
eem
pir
ical
an
aly
sis
for
ass
etpri
cin
gin
Pan
elA
an
dco
rrel
ati
on
sacr
oss
vari
abl
es
inP
an
elB
.T
he
sam
ple
peri
odis
from
Ju
ly1997
toJ
un
e2013.
The
sam
ple
isre
stri
cted
toco
mm
on
stoc
ks(l
iste
don
NY
SE
,A
ME
X,
an
dN
AS
AQ
)of
firm
sw
hose
hea
dqu
art
ers
are
base
din
the
Un
ited
Sta
tes.
Uti
liti
esan
dF
inan
cial
sect
ors
are
excl
uded
.F
PA
isth
efr
equ
ency
of
pri
ceadju
stm
ent
at
the
gran
ula
rse
ctor
leve
l(s
eeT
abl
e1
for
adet
ail
eddes
crip
tion
).F
or
each
k,Pub%
ism
easu
red
as
the
nu
mbe
rof
pro
du
ctin
dic
espu
blis
hed
byB
LS
ina
mon
thas
afr
act
ion
of
the
maxi
mu
mn
um
ber
of
pro
du
cts
obs
erve
din
that
sect
or
(see
equ
ati
on
(3)
for
adet
ail
eddes
crip
tion
).R
etu
rnin
year
tis
the
an
nu
ali
zed
stoc
kre
turn
calc
ula
ted
from
Ju
lyof
year
tto
Ju
ne
of
t+1.
Siz
eis
the
natu
ral
loga
rith
mof
the
tota
lm
ark
etca
pit
ali
zati
on
(in
thou
san
ds)
inJ
un
eof
year
t.B
Mof
year
tis
the
book
equ
ity
for
the
fisc
al
year
endin
gin
cale
ndar
year
t-1
ove
rth
em
ark
eteq
uit
yas
of
Dec
embe
rt-
1.β
is
the
regr
essi
on
coeffi
cien
tin
roll
ing
tim
e-se
ries
regr
essi
on
sof
mon
thly
exce
ssre
turn
son
aco
nst
an
tan
dth
eex
cess
retu
rns
of
the
CR
SP
valu
e-w
eigh
ted
index
ove
rth
epre
viou
s252
tradin
gdays
.W
ese
tβ
tom
issi
ng
ifw
ehave
less
than
60
dail
yre
turn
sin
the
esti
mati
on
peri
od.
Lev
isth
elo
ng-
term
deb
t
ove
rto
tal
ass
ets.
CF
isca
shfl
ow
sove
rto
tal
ass
ets.
Tu
rnove
ris
the
rati
oof
volu
me
tosh
are
sou
tsta
ndin
g.S
pre
ad
isth
em
on
thly
ave
rage
of
the
dail
y
bid-a
sksp
reads
from
the
CR
SP
Dail
yS
tock
file
.P
CM
isth
epri
ce-t
o-c
ost
marg
in.
HP
HH
Iis
the
firm
-lev
elm
easu
reof
pro
du
ct-s
pace
con
cen
trati
on
base
don
the
Hobe
rg&
Phil
lips
300
indu
stri
es.
All
bala
nce
-shee
tva
riabl
esare
mea
sure
dat
the
end
of
the
fisc
al
year
endin
gat
the
late
stin
Dec
embe
r
of
cale
ndar
year
t-1.
All
the
vari
abl
esare
win
sori
zed
at
the
2.5%
leve
l.
Pan
elA
.M
ean
san
dS
tan
dard
Dev
iati
on
s
Ret
urn
PA
FP
ub
%Siz
eB
Mβ
Lev
CF
Tu
rnover
Sp
read
PC
MH
PH
HI
Mea
n15.1
90.2
10.7
312.3
90.7
50.8
60.5
90.0
10.1
50.0
50.3
10.2
5P
50
0.8
70.1
70.7
412.3
30.4
50.8
10.2
30.0
70.1
00.0
40.3
50.1
7S
td101.0
40.1
70.2
02.1
41.0
50.5
91.1
30.2
00.1
40.0
30.3
90.2
1N
55,8
25
41,6
66
48,7
64
55,7
48
55,7
71
55,8
02
55,5
73
55,6
14
55,7
95
55,7
95
54,8
88
49,8
09
Pan
elB
:C
onte
mp
ora
neo
us
Corr
elati
on
Ret
urn
PA
FP
ub
%S
ize
BM
βL
evC
FT
urn
over
Sp
read
PC
MH
PH
HI
Ret
urn
%1.0
0P
AF
0.0
21.0
0P
ub
%0.0
00.1
51.0
0S
ize
0.0
00.1
30.1
51.0
0B
M0.0
60.0
2-0
.09
-0.3
51.0
0β
-0.0
1-0
.01
0.2
20.4
0-0
.17
1.0
0L
ev-0
.01
0.1
3-0
.04
0.0
50.0
3-0
.03
1.0
0C
F0.0
40.0
9-0
.05
0.3
10.0
0-0
.02
0.0
41.0
0T
urn
over
-0.0
20.0
50.1
80.3
8-0
.14
0.5
00.0
00.0
01.0
0S
pre
ad
-0.0
2-0
.05
-0.1
3-0
.47
0.2
20.0
6-0
.03
-0.4
10.1
11.0
0P
CM
0.0
40.0
0-0
.03
0.1
4-0
.02
-0.0
1-0
.01
0.4
70.0
1-0
.18
1.0
0H
PH
HI
-0.0
4-0
.12
0.0
8-0
.20
0.0
4-0
.17
0.0
20.0
4-0
.16
-0.0
20.0
11.0
0
48
Table 8: Mean of Double-Sorted Portfolio Returns
This table reports time-series averages of annual equally weighted, double-sorting portfolio raw returns in
Panels A and C and characteristic-adjusted (DGTW) returns following Daniel et al. (1997) in Panels B
and D. The sample is restricted to common stocks (listed on NYSE, AMEX, and NASAQ) of firms whose
headquarters are based in the United States. Utilities and Financial sectors are excluded. In each June
of year t, stocks are first assigned to two baskets based on the frequency of price adjustment (FPA). FPA
is the frequency of price adjustment at the granular sector level (see Table 1 for a detailed description).
The two FPA baskets are only sorted once based on the median value of FPA at the granular sector level.
Stocks are then independently assigned to four baskets based on BLS publication (Pub%). For each 3-digit
NAICS sector k, Pub% is the number of product indices published by BLS as a fraction of the maximum
number of products observed in that sector (see equation (3) for a detailed description). The four Pub%
baskets are annually rebalanced. In Panels A and B, the sample period is from July 1997 to June 2013.
In Panels C and D, the sample period is from July 1983 to June 2013.
P1 P2 P3 P4 P4-P1Panel A: Annual Mean Returns: July 1997 – June 2013
S 23.63*** 14.93*** 13.00*** 7.87*** -15.75***(16.41) (12.14) (10.81) (4.75) (-7.11)
F 13.81*** 10.13*** 21.13*** 25.96*** 12.15***(8.08) (8.06) (14.88) (16.31) (4.85)
S-F 9.82*** 4.80** -8.13*** -18.09***(4.12) (2.72) (-4.39) (-7.77)
Panel B: DGTW Adjusted Returns: July 1997 – June 2013S 13.86*** 8.06*** 7.68*** 4.41*** -9.45***
(10.66) (7.46) (7.14) (3.03) (-4.79)
F 7.66*** 4.72*** 13.75*** 17.54*** 9.88***(5.18) (4.29) (10.70) (12.33) (4.47)
S-F 6.20*** 3.34** -6.06*** -13.13***(2.94) (2.16) (-3.64) (-6.37)
Panel C: Annual Mean Returns: July 1983 – June 2013S 44.65*** 32.14*** 31.62*** 33.85*** -10.80***
(25.37) (20.23) (20.24) (14.68) (-3.64)
F 30.91*** 29.87*** 46.20*** 54.84*** 23.93***(14.85) (17.69) (25.34) (26.12) (7.68)
S-F 13.73*** 2.27 -14.58*** -20.99***(4.72) (0.97) (-6.11) (-6.57)
Panel D: DGTW Adjusted Returns: July 1983 – June 2013S 20.00*** 14.63*** 12.65*** 13.70*** -6.30**
(12.71) (10.57) (9.08) (6.74) (-2.41)
F 9.38*** 12.87*** 24.27*** 29.30*** 19.91***(5.42) (8.74) (15.04) (15.55) (7.23)
S-F 10.62*** 1.76 -11.63*** -15.59***(4.15) (0.87) (-5.48) (-5.49)
t-statistics in parentheses∗p < 0.10, ∗ ∗ p < 0.05, ∗ ∗ ∗p < 0.01
49
Tab
le9:
Pan
el
Regre
ssio
ns
of
Annual
Sto
ckR
etu
rns
on
Pri
ceSti
ckin
ess
(dum
my)
and
BL
SP
ubli
cati
on:
July
1997-J
une
2013,
OL
SR
egre
ssio
n
This
tabl
ere
port
sth
ere
sult
sfo
res
tim
ati
ng
the
foll
ow
ing
lin
ear
equ
ati
on
:
Return
i,t
=α
+β×Sticky j
+γ×Sticky j×Pub%
k,t
+δ×Pub%
k,t
+X′ i,t−
1×θ
+η k′+η t
+ε i,t,
i,j,k
,an
dt
den
ote
firm
,6-a
nd
3-d
igit
NA
ICS
sect
ors
,an
dye
ar,
resp
ecti
vely
.T
he
sam
ple
isre
stri
cted
toco
mm
on
stoc
ks(l
iste
don
NY
SE
,A
ME
X,
an
dN
AS
AQ
)of
firm
sw
hose
hea
dqu
art
ers
are
base
din
the
Un
ited
Sta
tes.
Uti
liti
esan
dF
inan
cial
sect
ors
are
excl
uded
.R
etu
rn(i
npe
rcen
t)is
the
an
nu
ali
zed
stoc
kre
turn
calc
ula
ted
from
Ju
lyof
yeart
toJ
un
eoft
+1.Sticky j
isan
indic
ato
rva
riabl
eeq
ual
to1
ifth
efr
equ
ency
of
pri
ceadju
stm
ent
(FP
A)
ingr
an
ula
rse
ctorj
isbe
low
the
sam
ple
med
ian
,an
dze
rooth
erw
ise.
FP
Ais
the
freq
uen
cyof
pri
ceadju
stm
ent
at
the
gran
ula
rse
ctor
leve
l
(see
Tabl
e1
for
adet
ail
eddes
crip
tion
).F
or
each
3-d
igit
NA
ICS
sect
ork
,Pub%
ism
easu
red
as
the
nu
mbe
rof
pro
du
ctin
dic
espu
blis
hed
byB
LS
as
a
fract
ion
of
the
maxi
mu
mn
um
ber
of
pro
du
cts
obs
erve
din
that
sect
or
(see
equ
ati
on
(3)
for
adet
ail
eddes
crip
tion
).HPub%
isa
du
mm
yva
riabl
eth
at
equ
als
1ifPub%
isabo
veth
esa
mple
med
ian
,an
dze
rooth
erw
ise.X′ i,t−
1is
ase
tof
con
trol
vari
abl
es(s
eeT
abl
e7
for
adet
ail
eddes
crip
tion
).A
llth
e
vari
abl
esare
win
sori
zed
at
the
2.5%
leve
l.S
tan
dard
erro
rsare
clu
ster
edat
the
3-d
igit
NA
ICS
leve
l.
(1)
(2)
(3)
(4)
(5)
(6)
(7)
(8)
(9)
(10)
(11)
(12)
(13)
(14)
Sti
cky
0.6
2-3
.15
41.8
5***
33.4
1***
42.2
6***
37.3
9***
12.2
17.0
114.2
3**
11.8
1(0
.12)
(-0.5
3)
(2.9
1)
(2.8
6)
(3.4
2)
(3.2
3)
(1.4
3)
(0.7
8)
.(2
.12)
(1.6
5)
.Sti
cky×
Pub%
-54.4
1***
-46.6
9***
-32.8
0**
-52.2
1***
-46.8
5***
-40.6
3**
(-3.2
8)
(-3.7
8)
(-2.1
5)
(-3.4
4)
(-3.5
6)
(-2.6
3)
Sti
cky×
HP
ub%
-17.1
6**
-13.7
3**
-11.0
8-1
7.4
4***
-15.2
9***
-14.2
0**
(-2.2
9)
(-2.3
3)
(-1.6
7)
(-2.7
8)
(-2.9
2)
(-2.4
2)
Pub%
48.4
3***
24.2
929.0
261.4
6***
36.1
9**
43.9
7**
(3.1
2)
(1.5
3)
(1.6
4)
(3.9
0)
(2.1
5)
(2.2
6)
HP
ub%
20.2
5***
14.5
3**
12.4
622.6
5***
15.8
1**
15.4
3*
(2.7
9)
(2.1
0)
(1.6
7)
(3.1
2)
(2.0
6)
(1.7
9)
Siz
e-1
.62**
-1.8
7**
-1.8
2*
-1.6
0**
-1.8
8**
-1.8
0*
(-2.1
4)
(-2.6
0)
(-1.8
2)
(-2.1
6)
(-2.6
4)
(-1.7
9)
BM
5.7
7***
6.9
4***
7.4
3***
5.7
7***
6.9
7***
7.4
5***
(2.9
0)
(3.8
7)
(4.8
9)
(2.8
7)
(3.9
0)
(4.9
0)
Beta
1.0
61.5
91.4
31.3
91.7
61.5
4(0
.48)
(0.7
2)
(0.6
6)
(0.6
3)
(0.7
9)
(0.7
0)
Lev
-0.7
60.0
50.9
6-0
.83
0.0
30.9
1(-
0.9
1)
(0.0
6)
(1.2
0)
(-1.0
2)
(0.0
4)
(1.1
3)
CF
12.2
622.0
1**
27.2
0***
11.7
522.1
4**
27.4
1***
(1.2
6)
(2.4
9)
(2.9
4)
(1.2
0)
(2.4
8)
(2.9
5)
Turn
over
-18.9
0**
-20.2
7**
-23.2
0***
-18.1
2**
-19.4
3**
-22.7
4***
(-2.4
3)
(-2.5
8)
(-3.2
5)
(-2.2
9)
(-2.4
2)
(-3.1
8)
Spre
ad
21.7
0-1
1.8
6-2
4.6
524.9
7-1
0.6
1-2
2.7
0(0
.32)
(-0.1
6)
(-0.3
6)
(0.3
7)
(-0.1
5)
(-0.3
3)
PC
M2.1
41.9
0-2
.33
2.1
02.0
3-2
.39
(0.3
2)
(0.3
2)
(-0.3
8)
(0.3
2)
(0.3
4)
(-0.3
9)
HP
HH
I-2
7.6
7***
-21.3
9**
-15.6
5*
-27.1
7***
-21.4
3**
-15.5
6*
(-3.9
9)
(-2.6
3)
(-1.9
9)
(-3.8
6)
(-2.6
1)
(-1.9
8)
Const
ant
24.5
7***
29.5
1***
-12.1
311.0
020.8
0-1
.88
24.3
137.6
511.0
017.4
5*
22.6
4***
28.7
6*
40.5
9**
47.0
9**
(5.3
6)
(6.1
0)
(-0.9
8)
(0.6
5)
(1.1
7)
(-0.1
0)
(1.0
8)
(1.5
4)
(1.4
3)
(1.8
0)
(3.7
0)
(1.8
0)
(2.3
5)
(2.5
0)
Year
FE
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
FF
48
FE
No
Yes
No
Yes
No
No
Yes
No
No
Yes
No
No
Yes
No
NA
ICS6
FE
No
No
No
No
Yes
No
No
Yes
No
No
Yes
No
No
Yes
N41,6
66
41,6
66
40,6
34
40,6
34
40,6
34
35,8
62
35,8
62
35,8
62
40,6
34
40,6
34
40,6
34
35,8
62
35,8
62
35,8
62
R2
0.0
20.0
30.0
20.0
30.1
00.0
30.0
40.1
10.0
20.0
30.1
00.0
30.0
40.1
1
t-st
ati
stic
sin
pare
nth
ese
s∗p<
0.1
0,∗∗p<
0.0
5,∗∗∗p<
0.0
1
50
Tab
le10
:P
an
el
Regre
ssio
ns
of
Annual
Sto
ckR
etu
rns
on
Pri
ceSti
ckin
ess
(dum
my)
and
BL
SP
ubli
cati
on:
July
1997-J
une
2013,
IVE
stim
ati
on
This
tabl
ere
port
sth
ere
sult
sfo
rth
efo
llow
ing
IVes
tim
ati
on
:
Return
i,t
=α
+β×Sticky j
+γ×Sticky j×Pub%
k,t
+δ×Pub%
k,t
+X′ i,t−
1×θ
+η k′+η t
+ε i,t,
i,j,k
,an
dt
den
ote
firm
,6-
an
d3-d
igit
NA
ICS
sect
ors
,an
dye
ar,
resp
ecti
vely
.S
eeeq
uati
on
(5)
for
the
des
crip
tion
of
the
IVappro
ach
.R
etu
rn(i
n
perc
ent)
isth
ean
nu
ali
zed
stoc
kre
turn
calc
ula
ted
from
Ju
lyof
yeart
toJ
un
eoft
+1.
The
sam
ple
isre
stri
cted
toco
mm
on
stoc
ks(l
iste
don
NY
SE
,
AM
EX
,an
dN
AS
AQ
)of
firm
sw
hose
hea
dqu
art
ers
are
base
din
the
Un
ited
Sta
tes.
Uti
liti
esan
dF
inan
cial
sect
ors
are
excl
uded
.Sticky j
isan
indic
ato
r
vari
abl
eeq
ual
to1
ifth
efr
equ
ency
of
pri
ceadju
stm
ent
(FP
A)
isbe
low
the
sam
ple
med
ian
,an
dze
rooth
erw
ise.
FP
Ais
the
freq
uen
cyof
pri
ceadju
stm
ent
at
the
gran
ula
rse
ctor
leve
l(s
eeT
abl
e1
for
adet
ail
eddes
crip
tion
).F
or
eachk
as
of
Ju
ne
of
yeart,Pub%
ism
easu
red
as
the
nu
mbe
rof
pro
du
ctin
dic
es
pu
blis
hed
byB
LS
as
afr
act
ion
of
the
maxi
mu
mn
um
ber
of
pro
du
cts
obs
erve
din
that
sect
or
(see
equ
ati
on
(3)
for
adet
ail
eddes
crip
tion
).HPub%
is
adu
mm
yva
riabl
eeq
ual
to1
ifPub%
isabo
veth
esa
mple
med
ian
,an
dze
rooth
erw
ise.X′ i,t−
1is
ase
tof
con
trol
vari
abl
es(s
eeT
abl
e7
for
adet
ail
ed
des
crip
tion
).A
llth
eva
riabl
esare
win
sori
zed
at
the
2.5
%le
vel.
Sta
ndard
erro
rsare
clu
ster
edat
the
3-d
igit
NA
ICS
leve
l.
(1)
(2)
(3)
(4)
(5)
(6)
(7)
(8)
(9)
(10)
(11)
(12)
Sti
cky
38.6
3*
38.6
3*
58.6
3***
58.6
3***
16.0
516.0
525.8
6**
25.8
6**
(1.7
6)
(1.7
5)
(2.8
0)
(2.6
7)
(1.4
4)
(1.4
1)
(2.4
3)
(2.2
1)
Sti
cky×
Pub%
-50.5
5*
-50.5
5*
-46.4
6***
-74.0
8***
-74.0
8***
-53.3
7***
(-1.9
0)
(-1.8
9)
(-3.0
4)
(-2.8
3)
(-2.7
0)
(-3.1
6)
Sti
cky×
HP
ub%
-23.3
6*
-23.3
6*
-21.5
8***
-34.5
9**
-34.5
9**
-24.7
3***
(-1.7
4)
(-1.7
0)
(-2.8
3)
(-2.4
9)
(-2.2
8)
(-3.0
5)
Pub%
26.7
026.7
016.4
040.1
8*
40.1
8*
23.4
3(1
.27)
(1.2
5)
(0.8
9)
(1.8
0)
(1.7
0)
(1.2
1)
HP
ub%
12.0
212.0
27.6
018.9
3*
18.9
3*
11.2
4(1
.20)
(1.2
1)
(0.9
2)
(1.9
1)
(1.8
8)
(1.3
3)
∆Pub%
2004
-25.3
3**
-25.3
3**
-34.0
6***
-34.0
6***
-26.6
1**
-26.6
1**
-36.0
3***
-36.0
3***
(-2.0
8)
(-2.0
1)
(-2.9
9)
(-2.9
2)
(-2.1
3)
(-2.0
2)
(-2.9
7)
(-2.8
6)
Siz
e-1
.63**
-1.6
3**
-1.7
5*
-1.6
4**
-1.6
4**
-1.7
5*
(-2.2
3)
(-2.2
0)
(-1.7
8)
(-2.2
1)
(-2.1
3)
(-1.7
7)
BM
5.9
3***
5.9
3***
7.4
1***
5.9
7***
5.9
7***
7.4
1***
(3.0
8)
(2.9
6)
(4.9
4)
(3.1
2)
(2.9
7)
(4.9
8)
Beta
1.4
11.4
11.2
41.4
51.4
51.1
6(0
.64)
(0.6
0)
(0.5
6)
(0.6
1)
(0.5
8)
(0.5
0)
Lev
-0.6
3-0
.63
0.9
5-0
.57
-0.5
70.9
5(-
0.7
3)
(-0.7
3)
(1.2
1)
(-0.6
5)
(-0.6
4)
(1.1
9)
CF
12.3
512.3
527.0
8***
12.1
012.1
027.2
4***
(1.4
2)
(1.3
1)
(3.0
1)
(1.3
5)
(1.2
7)
(3.0
6)
Turn
over
-19.8
1***
-19.8
1***
-23.6
9***
-20.1
2***
-20.1
2***
-23.9
0***
(-2.6
2)
(-3.3
5)
(-3.4
2)
(-2.7
6)
(-3.5
5)
(-3.5
7)
BD
Spre
ad
12.6
912.6
9-2
5.3
09.1
99.1
9-2
7.5
1(0
.20)
(0.1
9)
(-0.3
8)
(0.1
5)
(0.1
4)
(-0.4
2)
PC
M1.7
71.7
7-2
.30
2.0
22.0
2-2
.38
(0.3
0)
(0.2
6)
(-0.3
8)
(0.3
2)
(0.2
8)
(-0.3
9)
HP
HH
I-2
6.3
5***
-26.3
5***
-15.1
3*
-26.2
0***
-26.2
0***
-15.0
5*
(-3.8
2)
(-3.8
1)
(-1.9
6)
(-3.7
9)
(-3.8
0)
(-1.9
4)
Year
FE
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
FF
48
FE
No
Yes
No
No
Yes
No
No
Yes
No
No
Yes
No
NA
ICS6
FE
No
No
Yes
No
No
Yes
No
No
Yes
No
No
Yes
N40,5
76
40,5
76
40,5
61
35,8
13
35,8
13
35,7
97
40,5
76
40,5
76
40,5
61
35,8
13
35,8
13
35,7
97
R2
0.0
20.0
20.0
20.0
30.0
30.0
30.0
20.0
20.0
20.0
30.0
30.0
3
t-st
ati
stic
sin
pare
nth
ese
s∗p<
0.1
0,∗∗p<
0.0
5,∗∗∗p<
0.0
1
51
Tab
le11
:P
an
el
Regre
ssio
ns
of
Annual
Sto
ckR
etu
rns
on
Pri
ceSti
ckin
ess
(conti
nuous
vari
able
)and
BL
SP
ublica
tion
(dum
my):
July
1997-J
une
2013
This
tabl
ere
port
sth
ere
sult
sfo
rth
efo
llow
ing
lin
ear
equ
ati
on
:
Return
i,t
=α
+β×Sticky%j
+γ×Sticky%j
+HPub%
k,t
+δ×HPub%
k,t
+X′ i,t−
1×θ
+η k′+η t
+ε i,t,
i,j,k
,an
dt
den
ote
firm
,6-
an
d3-d
igit
NA
ICS
sect
ors
,an
dye
ar,
resp
ecti
vely
.R
etu
rn(i
npe
rcen
t)is
the
an
nu
ali
zed
stoc
kre
turn
calc
ula
ted
from
Ju
ly
of
year
tto
Ju
ne
oft+
1.
The
sam
ple
isre
stri
cted
toco
mm
on
stoc
ks(l
iste
don
NY
SE
,A
ME
X,
an
dN
AS
AQ
)of
firm
sw
hose
hea
dqu
art
ers
are
base
d
inth
eU
nit
edS
tate
s.U
tili
ties
an
dF
inan
cial
sect
ors
are
excl
uded
.Sticky%
isF
PA
mu
ltip
lied
by-1
.F
PA
isth
efr
equ
ency
of
pri
ceadju
stm
ent
at
the
gran
ula
rse
ctor
leve
l(s
eeT
abl
e1
for
adet
ail
eddes
crip
tion
).F
or
each
3-d
igit
NA
ICS
sect
ork
as
of
Ju
ne
of
yeart,Pub%
ism
easu
red
as
the
nu
mbe
rof
pro
du
ctin
dic
espu
blis
hed
byB
LS
as
afr
act
ion
of
the
maxi
mu
mn
um
ber
of
pro
du
cts
obs
erve
din
that
sect
or
(see
equ
ati
on
(3)
for
adet
ail
eddes
crip
tion
).
X′ i,t−
1is
ase
tof
con
trol
vari
abl
es(s
eeT
abl
efo
ra
det
ail
eddes
crip
tion
).A
llth
eva
riabl
esare
win
sori
zed
at
the
2.5%
leve
l.S
tan
dard
erro
rsare
clu
ster
ed
at
the
3-d
igit
NA
ICS
leve
l.In
colu
mn
s(9
)-(1
4),
IVes
tim
ati
on
sare
perf
orm
ed.
See
equ
ati
on
(5)
for
the
des
crip
tion
of
the
IVappro
ach
.
OL
SIV
(1)
(2)
(3)
(4)
(5)
(6)
(7)
(8)
(9)
(10)
(11)
(12)
(13)
(14)
-FP
A-1
0.3
9-5
.07
71.5
0**
54.5
1*
71.3
0**
59.5
2**
109.3
587.0
4*
162.9
4106.8
7*
(-0.8
1)
(-0.5
2)
(2.0
7)
(1.9
7)
(2.5
5)
(2.1
9)
(0.9
9)
(1.8
7)
(1.3
7)
(1.8
8)
-FP
A×H
Pub%
-87.9
1**
-65.6
4**
-81.7
2***
-85.9
6***
-68.3
3***
-84.3
2***
-131.9
9-1
07.2
2**
-84.2
4**
-188.2
2-1
25.5
5**
-85.2
1**
(-2.6
0)
(-2.5
3)
(-2.7
4)
(-3.2
3)
(-2.8
1)
(-2.8
2)
(-1.0
3)
(-2.0
1)
(-2.1
4)
(-1.4
2)
(-2.0
5)
(-1.9
7)
HP
ub%
-8.5
6-6
.68
-9.6
1*
-6.0
0-7
.05
-9.3
1-2
7.7
4-2
2.5
4-2
0.4
7-3
8.5
5-2
5.0
3-1
8.3
9(-
1.0
5)
(-1.2
7)
(-1.8
0)
(-1.0
4)
(-1.4
2)
(-1.5
7)
(-0.9
7)
(-1.4
3)
(-1.5
4)
(-1.2
8)
(-1.4
3)
(-1.3
5)
∆Pub%
2004
-17.1
212.8
3-2
5.5
1*
6.7
2(-
1.0
3)
(0.5
4)
(-1.6
7)
(0.2
8)
Siz
e-1
.58**
-1.8
1**
-1.7
7*
-1.4
1*
-1.7
1**
-1.7
3*
(-2.1
3)
(-2.5
3)
(-1.7
5)
(-1.6
7)
(-2.0
5)
(-1.7
5)
BM
5.7
8***
6.9
8***
7.4
3***
6.0
9***
6.9
6***
7.3
6***
(2.8
6)
(3.8
9)
(4.9
1)
(3.0
8)
(3.7
1)
(4.9
6)
Beta
1.4
71.6
61.3
31.1
61.2
61.1
5(0
.73)
(0.7
7)
(0.6
2)
(0.5
7)
(0.5
2)
(0.5
2)
Lev
-0.7
90.0
80.9
2-0
.24
0.2
20.9
2(-
0.9
2)
(0.1
0)
(1.1
4)
(-0.2
3)
(0.2
5)
(1.1
6)
CF
11.7
622.3
2**
27.5
2***
12.7
222.0
6**
27.4
7***
(1.2
1)
(2.5
0)
(2.9
6)
(1.4
3)
(2.1
6)
(3.0
4)
Turn
over
-18.7
4**
-19.6
4**
-23.3
3***
-21.5
0**
-20.8
6***
-23.8
2***
(-2.2
6)
(-2.4
0)
(-3.2
2)
(-2.4
5)
(-3.0
4)
(-3.4
9)
BD
Spre
ad
21.8
7-8
.87
-22.9
04.9
2-1
2.4
6-2
2.3
2(0
.34)
(-0.1
2)
(-0.3
4)
(0.0
8)
(-0.1
7)
(-0.3
4)
PC
M1.6
31.8
9-2
.38
0.3
41.8
4-2
.34
(0.2
5)
(0.3
2)
(-0.3
9)
(0.0
5)
(0.2
4)
(-0.3
9)
HP
HH
I-2
6.2
9***
-21.3
3**
-15.5
2*
-25.3
0***
-20.8
3***
-15.1
6**
(-3.6
8)
(-2.6
1)
(-1.9
8)
(-3.5
9)
(-2.5
8)
(-1.9
7)
Const
ant
22.7
7***
26.3
2***
32.5
2***
31.9
0***
20.0
2***
51.6
0***
58.6
0***
44.5
1**
(6.0
1)
(5.3
2)
(3.8
9)
(4.7
8)
(2.8
9)
(3.8
7)
(4.1
8)
(2.2
8)
Year
FE
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
FF
48
FE
No
Yes
No
Yes
No
No
Yes
No
No
Yes
No
No
Yes
No
NA
ICS6
FE
No
No
No
No
Yes
No
No
Yes
No
No
Yes
No
No
Yes
N41,6
66
41,6
66
40,6
34
40,6
34
40,6
34
35,8
62
35,8
62
35,8
62
40,5
76
40,5
76
40,5
61
35,8
13
35,8
13
35,7
97
R2
0.0
20.0
30.0
20.0
30.1
00.0
30.0
40.1
10.0
20.0
20.0
20.0
30.0
30.0
3
t-st
ati
stic
sin
pare
nth
ese
s∗p<
0.1
0,∗∗p<
0.0
5,∗∗∗p<
0.0
1
52
Table 12: Conditional CAPM Regressions
This table reports results for the conditional CAPM. In each June of year t, stocks are first assigned to two
baskets based on the frequency of price adjustment (FPA). FPA is the frequency of price adjustment at the
granular sector level (see Table 1 for a detailed description). The two FPA baskets are only sorted once
based on the median value of FPA at the granular sector level. Stocks are then independently assigned
to four baskets based on BLS publication (Pub%). For each k as of June of year t, Pub% is measured
as the number of product indices published by BLS in a month as a fraction of the maximum number of
products observed in that sector (see equation (3) for a detailed description). The four Pub% baskets are
annually rebalanced. The conditional CAPM is estimated on a rolling basis over the previous 12 months
as follows:
Rp,s = αp + βp ×Rm,s + εp,s,
where Rp,s is the portfolio excess return, αp (in percent) is a constant, and Rm,s is the excess return
of the CRSP value-weighted index.Newey and West (1987) standard errors are reported in parentheses.
Panels A and B report estimates on the sample period from July 1997 to June 2013. Panels C and D
report estimates on the sample period from July 1983 to June 2013.
P1 P2 P3 P4 P4-P1Panel A: β Estimates, 1997–2013
S 1.27*** 1.28*** 1.24*** 1.14*** -0.13***(32.34) (23.24) (27.81) (22.04) (-3.11)
F 1.04*** 1.16*** 1.39*** 1.20*** 0.16***(20.42) (22.13) (22.33) (22.13) (4.56)
S-F 0.23*** 0.12*** -0.16*** -0.06*(5.14) (3.77) (-5.46) (-1.85)
Panel B: α (in percent) , 1997–2013S -2.01*** -3.96*** -2.88*** -4.98*** -2.98***
(-4.42) (-7.71) (-9.88) (-12.04) (-10.95)
F -6.73*** -4.47*** -3.29*** -2.07*** 4.66***(-11.14) (-9.99) (-9.25) (-7.21) (7.12)
S-F 4.72*** 0.50 0.41 -2.92***(15.28) (1.56) (1.60) (-7.48)
Panel C: β, 1983–2013S 1.15*** 1.16*** 1.12*** 1.10*** -0.05
(29.52) (25.33) (25.97) (27.15) (-1.43)
F 0.98*** 1.10*** 1.22*** 1.08*** 0.09**(24.70) (25.99) (22.22) (22.72) (2.55)
S-F 0.17*** 0.05** -0.10*** 0.02(4.77) (2.05) (-3.82) (0.73)
Panel D: α (in percent), 1983–2013S -3.95*** -5.66*** -4.10*** -4.67*** -0.72*
(-9.23) (-12.12) (-14.52) (-14.02) (-1.74)
F -6.73*** -5.39*** -3.33*** -2.29*** 4.44***(-15.10) (-14.07) (-13.19) (-10.58) (9.73)
S-F 2.78*** -0.28 -0.77** -2.38***(7.40) (-0.95) (-2.75) (-6.86)
t-statistics in parentheses∗p < 0.10, ∗ ∗ p < 0.05, ∗ ∗ ∗p < 0.0153
Tab
le13
:P
rice
Sti
ckin
ess
an
dM
an
agers
’D
isse
min
ati
on
of
Pri
vate
Info
rmati
on:
January
2002-D
ece
mb
er
2012
This
tabl
ere
port
sth
ere
sult
sfo
rth
efo
llow
ing
lin
ear
equ
ati
on
:
Discussionit
=α
+β×Sticky%j
+X′ it−1×θ
+η k′+η t
+ε it
Discussionit
isa
du
mm
yva
riabl
eth
at
equ
als
1if
man
age
rspro
vide
quan
tita
tive
info
rmati
on
when
dis
cuss
ing
the
futu
reof
firm
i′sin
pu
tco
sts
du
rin
g
the
earn
ings
con
fere
nce
call
hel
din
quart
ert,
an
dze
rooth
erw
ise.
The
sam
ple
isre
stri
cted
toco
mm
on
stoc
ks(l
iste
don
NY
SE
,A
ME
X,
an
dN
AS
AQ
)
of
firm
sw
hose
hea
dqu
art
ers
are
base
din
the
Un
ited
Sta
tes.
Uti
liti
esan
dF
inan
cial
sect
ors
are
excl
uded
.Sticky%
isF
PA
mu
ltip
lied
bya€
“1.
FP
Ais
the
freq
uen
cyof
pri
ceadju
stm
ent
at
the
gran
ula
rse
ctor
leve
l(s
eeT
abl
e1
for
adet
ail
eddes
crip
tion
).Sticky 1
0pctl
isa
du
mm
yva
riabl
eth
at
equ
als
1
for
the
firm
sin
the
bott
om
10%
of
the
dis
trib
uti
on
base
don
FP
A,
an
dze
rooth
erw
ise.Xit−1
isa
set
of
con
trol
vari
abl
esm
easu
red
as
of
the
begi
nn
ing
of
quart
ert,
incl
udin
gth
est
an
dard
dev
iati
on
of
an
aly
sts′
on
e-ye
ar-
ahea
dE
PS
fore
cast
(sca
led
byst
ock
pri
cela
gged
byon
em
on
th),
the
perc
enta
ges
of
inst
itu
tion
al
share
hold
ings
,th
elo
gari
thm
of
the
nu
mbe
rof
an
aly
sts
cove
rin
gth
efi
rm,
the
loga
rith
mof
the
nu
mbe
rof
part
icip
ati
ng
man
age
rs,
the
loga
rith
mof
the
nu
mbe
rof
part
icip
ati
ng
an
aly
sts,
Siz
e,B
M,
PC
M,
an
dH
PH
HI.
See
Tabl
e7
for
vari
abl
edefi
nit
ion
s.C
on
trol
vari
abl
esare
win
sori
zed
at
the
2.5%
leve
l.
All
Pre
senta
tion
Q&
A(1
)(2
)(3
)(4
)(5
)(6
)(7
)(8
)(9
)(1
0)
(11)
(12)
Sti
cky%
-0.2
1***
-0.1
1**
-0.1
9***
-0.0
9*
-0.1
0***
-0.0
7*
(-5.5
0)
(-2.0
7)
(-5.2
3)
(-1.6
8)
(-4.8
0)
(-1.8
8)
Sti
cky10%
-0.0
5**
-0.0
4***
-0.0
4**
-0.0
4***
-0.0
3**
-0.0
2**
(-2.1
6)
(-2.7
4)
(-2.4
4)
(-2.8
7)
(-2.2
0)
(-2.1
0)
Fore
cast
Dis
pers
ion
1.2
50.0
82.1
2*
0.2
01.0
9-0
.07
1.8
6*
0.0
10.7
20.5
41.0
8**
0.6
3*
(1.2
4)
(0.1
3)
(1.9
0)
(0.3
0)
(1.1
5)
(-0.1
0)
(1.7
8)
(0.0
1)
(1.5
2)
(1.5
2)
(2.0
4)
(1.7
6)
Inst
ituti
onal
Hold
ing
0.2
3***
0.1
1***
0.2
3***
0.1
1***
0.2
0***
0.1
1***
0.2
0***
0.1
2***
0.1
0***
0.0
4***
0.1
1***
0.0
4***
(8.4
9)
(4.0
8)
(8.7
6)
(4.1
5)
(7.6
6)
(4.0
4)
(7.9
0)
(4.1
2)
(7.3
9)
(2.9
5)
(7.5
6)
(3.1
0)
Ln(#
analy
st)
-0.0
6***
-0.0
3***
-0.0
5***
-0.0
3***
-0.0
4***
-0.0
2*
-0.0
3**
-0.0
2*
-0.0
3***
-0.0
1-0
.02**
-0.0
1(-
4.6
6)
(-2.6
8)
(-3.1
5)
(-2.6
9)
(-3.4
2)
(-1.7
3)
(-2.3
4)
(-1.7
4)
(-3.0
7)
(-0.7
2)
(-2.4
3)
(-0.7
6)
Ln
(#of
managers
)0.1
3***
0.1
3***
0.1
3***
0.1
3***
0.1
3***
0.1
4***
0.1
4***
0.1
4***
0.0
4***
0.0
5***
0.0
5***
0.0
5***
(9.6
5)
(12.7
6)
(9.8
8)
(13.0
4)
(9.6
3)
(11.9
2)
(9.6
5)
(12.0
8)
(4.8
6)
(5.9
1)
(4.9
8)
(5.9
8)
Ln
(#of
part
icip
ants
)0.1
1***
0.1
2***
0.1
1***
0.1
2***
0.0
7***
0.0
9***
0.0
7***
0.0
9***
0.0
9***
0.1
0***
0.0
9***
0.1
0***
(13.3
0)
(15.7
2)
(11.8
0)
(15.5
5)
(7.6
3)
(9.4
7)
(6.9
8)
(9.4
0)
(20.4
9)
(18.8
0)
(21.4
1)
(19.0
0)
Siz
e0.0
2***
0.0
1***
0.0
3***
0.0
1***
0.0
2***
0.0
1**
0.0
2***
0.0
1**
0.0
2***
0.0
1***
0.0
2***
0.0
1***
(4.8
5)
(3.2
7)
(4.6
8)
(3.3
2)
(4.0
5)
(2.2
9)
(4.1
5)
(2.3
0)
(5.4
7)
(4.0
7)
(5.3
9)
(4.1
4)
BM
0.0
8***
0.0
5***
0.1
0***
0.0
6***
0.0
7***
0.0
5***
0.1
0***
0.0
6***
0.0
3***
0.0
2**
0.0
5***
0.0
2**
(4.6
3)
(4.4
3)
(4.8
8)
(4.7
3)
(4.8
0)
(3.9
8)
(5.1
5)
(4.2
3)
(2.6
6)
(2.1
9)
(3.0
6)
(2.4
1)
PC
M0.0
10.0
10.0
10.0
10.0
20.0
20.0
2*
0.0
2-0
.02
-0.0
1-0
.01
-0.0
1(0
.46)
(0.5
3)
(1.0
6)
(0.5
9)
(1.2
1)
(0.9
6)
(1.7
8)
(1.0
1)
(-1.0
7)
(-1.2
3)
(-0.8
1)
(-1.1
7)
HP
HH
I0.0
6*
-0.0
40.0
6-0
.04
0.0
5-0
.04
0.0
4-0
.03
0.0
4*
-0.0
30.0
4*
-0.0
2(1
.75)
(-1.5
2)
(1.4
3)
(-1.3
5)
(1.3
8)
(-1.2
9)
(1.1
4)
(-1.1
2)
(1.7
4)
(-1.3
2)
(1.6
6)
(-1.2
0)
Const
ant
-0.1
9***
-0.4
2***
-0.1
8***
-0.3
4***
-0.2
1***
-0.4
1***
-0.2
0***
-0.3
4***
-0.2
0***
-0.2
3***
-0.1
9***
-0.1
8***
(-4.4
4)
(-7.9
7)
(-4.0
2)
(-9.5
1)
(-4.9
0)
(-7.1
4)
(-4.6
1)
(-8.8
4)
(-8.1
9)
(-6.2
1)
(-6.5
6)
(-8.4
7)
FF
48
FE
No
Yes
No
Yes
No
Yes
No
Yes
No
Yes
No
Yes
Year
FE
No
Yes
No
Yes
No
Yes
No
Yes
No
Yes
No
Yes
N40069
40069
40069
40069
40069
40069
40069
40069
40069
40069
40069
40069
R-s
quare
d0.0
90.2
00.0
90.2
00.0
60.1
40.0
60.1
40.0
70.1
10.0
70.1
1
t-st
ati
stic
sin
pare
nth
ese
s∗p<
0.1
0,∗∗p<
0.0
5,∗∗∗p<
0.0
1
54
Online Appendix:
Sticky Prices and the Value of Public Information:Evidence from Financial Markets
Jin Xie Juanyi (Jenny) Xu
Not for Publication
A.1 A Partial-Equilibrium Model
In this section, we introduce Nimark (2008)’s partial-equilibrium model. We show how
public information shapes the Philips Curve at the granular sector level even if the Calvo
rate stays constant.
In an economy with idiosyncratic shocks, an agent has to form an expectation of other
agents’ action based on what she can observe directly. The expectation will be imperfect
if the collecting information is costly. Nimark (2008) applies this idea to the price-setting
problem when an idiosyncratic shock to a firm’s marginal cost occurs. More public
information or a lower cost of collecting information helps firms infer more accurately
the average economy wide shocks. The model predicts that output-price transparency
will reduce the size of the variance of the idiosyncratic component relative to that of the
average marginal cost innovation, which in turn reduces the persistence of inflation.
A firm cares about the sectoral price level because demand for its goods depends
on the relative price. But due to the presence of idiosyncratic shocks, firms cannot
infer the sectoral price level perfectly by observing their own marginal cost. The lagged
information then becomes an important source of information individual firms use to form
expectations about sectoral price. Given the existence of private measurement error, a
firm will not only fail to observe the average sectoral marginal cost but also continue
to remain uncertain about other firms’ expectation about its own expectation– whether
others know what others know about it. So the higher-order expectation will play a role
in determining the dynamics of inflation.
1
1.1 Industrial Structure and Optimal Price Setting
We assume each 6-digit NAICS sector j contains a continuum of monopolistic firms
distributed on a unit interval [0, 1] indexed by i. Each firm produces differentiated
goods. The customer combines these differentiated goods to produce a consumption good
for sector j. The production function for consumption at sector j at time t is given by
Xjt =
(∫ 1
0
Xjt (i)
λ−1λ di
) λλ−1
. (A.1)
Suppose the price for goods i in sector j is P jt (i) and the price index for consumption
goods at sector j is P jt . The demand for differentiated goods i is given by
Xjt (i) = (
P jt (i)
P jt
)−λXjt , (A.2)
where P jt (i) and Xj
t (i) are price and demand for good i in sector j. P jt and Xj
t are price
index and total demand for all goods produced by sector j, respectively. λ > 1 is the
elasticity of substitution across differentiated goods in sector j.
As in Calvo (1983), a constant probability 1 − ω exists that a firm will set its price
at any given period. The profit-maximization problem of firm i is as follows:
maxP jt (i)
Ejt (i)
∞∑k=0
(βω)k
[P jt (i)
P jt+k
Xjt+k(i)−MCj
t+k(i)Xjt+k(i)
], (A.3)
which is subject to the downward-sloping demand function (A.2). MCjt+k(i) is firm i’s real
marginal cost at time t. Solving the optimal pricing decision (A.3) gives us the optimal
price P j∗t (i) as follows:
P j,∗t (i) =
λ
λ− 1
∞∑k=0
(βω)kMCjt+k(i)X
jt+k(i)(P
jt+k)
λ
∞∑k=0
(βω)kXjt+k(i)(P
jt+k)
λ−1
. (A.4)
Log-linearizing equation (A.4) gives the optimal reset price of firm i in sector j at time t:
pj,∗t (i) = (1− βω)Ejt (i)
[∞∑k=0
(βω)i(pjt+k +mcjt+k(i))
], (A.5)
2
which is the discounted sum of firm i’s current and future nominal marginal cost.
Ejt (i)[·] ≡ E[· | Ijt (i)] is an expectation operator conditional on firm i’s information
set at time t. Note the sector j price level at time t is given by
pjt = θpjt−1 + (1− θ)pj,∗t , (A.6)
where pj,∗t is the average price chosen by firms in sector j resetting their price in period t:
pj,∗t =
∫pj,∗t (i)di. (A.7)
1.2 Marginal-Cost Shock
We assume that at time t, firm i in sector j is subject to a real marginal-cost shock mcjt(i).
The shock is composed of two parts: the sector-wide component mcjt and the firm-specific
idiosyncratic component µjt(i). Firm i only observes the sum of these two components,
but not mcjt (even with a lag) or µjt(i). That is, it only observes
mcjt(i) = mcjt + µjt(i), (A.8)
where µjt(i) is an idiosyncratic shock and follows µjt(i) ∼ N(0, σ2µ).
The sector-wide shock to the average marginal cost may come from cost inflation
such as an increase in oil price or wages. In this section, we can assume that it follows an
exogenous AR(1) process:
mcjt = ρmcjt−1 + νt, (A.9)
where νt ∼ N(0, σ2v) is an aggregate marginal cost shock that will affect the marginal cost
in sector j. For example, an oil-price shock or a wage-inflation cost-push shock will lead
to a persistent increase in the marginal cost in each sector.
1.3 Optimal Reset Price with Imperfect Common Knowledge
As shown in equation (A.5), firm i’s optimal price is set based on its time t information
set:
Ijt (i) ={mcjs(i), p
js−1, β, ω, σ
2µ, σ
2v | s ≤ t
}. (A.10)
3
The structural parameters{β, ω, σ2
µ, σ2v
}and the lagged sector price level pjs−1 are common
knowledge. Because the common and idiosyncratic components cannot be distinguished,
firm i cannot know with certainty what the sector-wide average marginal cost mcjt is. mcjt
matters for the optimal price of firm i because it determines the current price level. If the
process of mcjt is persistent, the current average marginal cost will be informative about
future marginal costs, and future price levels. To set the price of its goods optimally,
firm i has to form an expectation of mcjt , which means all firms solve a similar signal-
extraction problem before they set prices. Firms thus also form higher expectations,
that is, expectations of average expectations, and so on. By repeatedly substituting the
expressions of price level and the average reset price into equation (A.5), current sectoral
inflation can be written as a function of average higher-order expectations of current
marginal cost and future sectoral inflation as follows:
πjt = (1− ω)(1− βω)∞∑k=0
(1− ω)kmcj,(k)t|t + βω
∞∑k=0
(1− ω)kπj,(k+1)t+1|t , (A.11)
where the following notation for higher-order expectations was used:
x(0)t|t = xt, (A.11)
x(1)t|t =
∫E [xt | Is(j)] dj, (A.12)
x(2)t|t =
∫E[x
(1)t|s | Is(j)
]dj, (A.13)
x(k)t|t =
∫E[x
(k−1)t|s | Is(j)
]dj. (A.14)
As shown in (A.11), the idiosyncratic marginal-cost shock introduces private
information into the price-setting problem of firms and forces firms to form higher-order
expectations, about both marginal cost and future inflation.
If σ2µ = 0, no information uncertainty of any order exists and the Phillips curve
4
reduces to the standard New-Keynesian Phillips Curve:
πjt = βEtπjt+1 +
(1− ω)(1− βω)
ωmcjt . (A.15)
If σ2µ is very large relative to σ2
v , the firm will discard its own marginal cost as an
indicator of the economy-wide average. Instead, each firm will only use the common
observation of this lagged price level to form an imperfect expectation of the economy-
wide average marginal cost. In this setting, it can be shown that the observation of
the lagged price level perfectly reveals lagged average marginal cost. Because no other
source of information is available about the current average marginal cost, the first-order
expectation mcj,(1)t is simply given by ρmcjt−1. This structure is common knowledge and
implies some first-order uncertainty about average marginal costs, i.e., mcj,(1)t 6= mcjt but
no higher order uncertainty so that mcj,(k)t = mc
j,(1)t = ρmcjt−1 : k, l > 0. In this case, the
Phillips curve becomes
πjt = (1− ω)(1− βω)mct +(1− ω)(1− βω)
ω[(1− ρβ)−1 − θ]mcj,(1)
t|t (A.16)
The assumption of very large idiosyncratic marginal-cost shocks, and the fact that all
firms condition on the same information is common knowledge, made finding an analytical
expression for inflation possible. In the general case, when 0 < σ2µ < ∞, neither the
lagged price level nor the observation of a firm’s own marginal cost completely reveals the
average marginal cost or other firms’ estimates of it. Both the firm’s own marginal cost
and the lagged price level will then be needed to form optimal higher-order expectations
of marginal cost, and, due to the Calvo mechanism, higher-order expectations of future
inflation are formed. Unfortunately, when 0 < σ2µ < ∞, even the partial-equilibrium
model cannot be solved analytically, and we have to resort to numerical methods to solve
the model. As Nimark (2008) shows, when the ratio of the variance of the firm-specific
idiosyncratic shock to that of the sectoral marginal cost,σ2µ
σ2ν, decreases, the inflation inertia
also decreases.
5
A.2 A Simple One-Sector GE Model
This economy consists of households that supply labor and consume goods, firms that
produce differentiated goods and set prices and a monetary-policy authority that sets
the nominal interest rate. Households are subject to economy-wide shocks to their
(dis)utility of supplying labor. The labor-supply shock is not directly observable by
firms but influences the marginal cost of production. In addition to the labor-supply
shock and the level of production, firms’ marginal costs are also affected by firm specific
wage-bargaining shocks, and firms cannot by direct observation distinguish between the
economy-wide labor supply shock and the idiosyncratic bargaining shock. So firms have to
form higher-order expectations of average marginal costs in order to set prices optimally.
For simplicity, we assume this economy contains only one sector.
2.1 The Model
The representative agent maximizes
E0
∞∑t=0
βt(C1−γt
1− γ− exp(λt)
N1+ϕt
1 + ϕ
),
where Nt is the aggregate labor supply in period t, and β is the discount factor. Ct is the
usual CES consumption aggregator,
Ct =
(∫ 1
0
Ct(i)ε−1ε dj
) εε−1
,
and λt is a shock to the disutility of supplying labor which is a sum of the persistence
component ξt and the transitory component ηt:
λt = ξt + ηt, ηt ∼ N(0, σ2η) .
The transitory component ηt of labor-supply shock λt prevents the lagged price level to
perfectly reveal the lagged value of the persistent component ξt. The persistent component
follows an AR(1) process:
ξt = ρξt−1 + υt, vt ∼ N(0, σ2v) .
6
Firm j produces the differentiated good Yt(i), using a linear technology with labor
as the sole input:
Yt(i) = Nt(i).
Because no capital exists, the aggregate consumption equals the aggregate production:
Yt = Ct.
The Euler equation of the representative household then implies the IS relation:
yt = Et [yt+1]− 1
γ[it − Et (πt+1)],
where the lower case denotes the log deviation from steady-state values of the
corresponding capital letter (expect for it). The monetary authority sets the nominal
interest rate following the Taylor rule:
it = φππt + φyyt.
The marginal cost of firm j is the real wage paid by firm j, which is determined by the
intratemporal optimality condition (labor-supply decision of households):
mct − γct − ϕnt − λt = 0,
and a firm-specific wage-bargaining shock εt(i). The bargaining shock introduces an
idiosyncratic component to firms’ marginal cost, and firm j’s marginal cost is
mct(i) = (γ + ϕ)yt + λt + εt(i).
In other words, firm i’s marginal cost is determined by aggregate output yt, the
labor-supply shock λt, and the idiosyncratic bargaining shock εt(i). The bargaining shock
is meant to capture, in a stylized way, the empirical finding that a significant part of the
variation in average wages at the firm level seems to be firm specific and uncorrelated
with industry-wide changes.
The timing of the model is as follows. First, the marginal-cost shock λt is realized.
7
Then, firms collect and process information about marginal cost. They also bargain over
marginal cost with households. So the marginal cost firm i pays is given by
mct(i) = (γ + ϕ)yt + ωt(i),
where ωt(i) = λt + εt(i). Firms cannot by direct observation distinguish between the
economy-wide shock to labor supply and the firm-specific bargaining shock, but only
observe the sum of the two, ωt(i), and the component dependent on output, (γ + ϕ)yt.
Firms set prices before production takes place, and their information set when setting the
price in period t is defined by
It(i) ={mct(i), ps−1, ys−1, β, θ, γ, ϕ, σ
2η, σ
2v , σ
2ε | s ≤ t
}.
2.2 Solving the Model
Due to Calvo-pricing, the price setting decision is forward looking, and firms therefore
need to form separate expectations (and higher-order expectations of the persistent labor-
supply-shock component ξt and the transitory component ηt. Define Φt = [ξt ηt]′ as the
labor-supply shock and firm j’s hierarchy of expectation of χt from order l to m be the
vector:
Φ(l:m)t|t ≡
[Φ
(l)t|t ,Φ
(l+1)t|t , · · ·Φ(m−1)
t|t ,Φ(m)t|t
].
The model is solved by an iterative version of the method of undetermined coefficients.
We conjecture that the hierarchy of labor-supply-shock expectations follows the VAR:
Φ(0:∞)t|t = MΦ
(0:∞)t−1|t−1 +NΓt,
where
Γt = [νt ηt]′ .
For a given M in the law of motion above, we can find output and inflation as
functions of the current state of the expectation hierarchy of the labor supply shock Φt.
We want a solution of the following form:
πt = KΦ(0:∞)t|t
8
yt = DΦ(0:∞)t|t
.
In the model, prices are set before output is realized, and because marginal cost
depends on aggregate output, firms have to form an expectation of aggregate output. We
can get firm i’s expectation of its own marginal cost:
E [mct(i) | It(i)] ≡ (γ + ϕ)E [yt | It(i)] + ωt(i).
Taking averages across firms yields an expression for the average expectation of firms’
own marginal cost:
mc(0)t = (γ + ϕ)y
(1)t + λt,
because∫ωt(i) = λt. Invoking common knowledge of rational expectations yields a
general expression for a k-order expectation of firms’ marginal cost:
mc(k)t = (γ + ϕ)y
(k+1)t + λ
(k)t .
Using the conjecture law of motion for the hierarchy of expectation, the expression for
inflation and higher order of marginal cost, we can write the Phillips curve as a function
of the expectation hierarchy of Φt. We get
KΦ(0:∞)t|t = (1− θ)(1− βθ)
∞∑k=0
(1− θ)k(DΦ(k:∞)t|t + 11x2Φ
(k)t|t ) + βθ
∞∑k=0
(1− θ)kKMΦ(k+1:∞)t|t .
Solving the model implies finding a fixed point for K , D, M , and N .
2.3 Equity Premium
Real dividend is given by
Dt =
∫ 1
0
(Pt(i)Yt(i)
Pt−MCt(i)Yt(i))di.
9
Note that due to the idiosyncratic shock, the marginal cost paid by individual firm i isMCt(i)Pt
, where
Yt(i) = (Pt(i)
Pt)−λCt.
Therefore, dividend can be expressed by
Dt =
∫ 1
0
[(Pt(i)
Pt)1−λYt −MCt(i)(
Pt(i)
Pt)−λYt)di (A.17)
= Yt[
∫ 1
0
(Pt(i)
Pt)1−λdi−
∫ 1
0
MCt(i)
MCtMCt(
Pt(i)
Pt)−λdi]
= Yt[
∫ 1
0
(Pt(i)
Pt)1−λdi−MCtWPDSt]
= Yt[1−1
µt],
where we define the combination of the wage and price-dispersion term as WPDSt =∫ 1
0MCt(i)MCt
(Pt(i)Pt
)−λdi, and µt is the markup, which is defined as
µt =Y realt
LIt=
Yt∫ 1
0MCt(i)Pt
(Pt(i)Pt
)−λYtdi=
1
MCt∫ 1
0MCt(i)MCt
(Pt(i)Pt
)−λdi= (MCt)
−1 1
WPDSt.
(A.18)
Y realt = Yt is the real output and LIt is the total real cost.1 Therefore, the log dividends
is
dt = yt + log(1− 1
µt). (A.19)
From Cochrane (2005), we first derive the log excess return of an asset over the
risk-free rate, rft+1. First , the price of an asset with a gross return Rt+1 is decided by
1 = Et[Mt,t+1Rt+1],
where Mt,t+1 is the stochastic discount factor to price this asset between t and t+1. Using
the assumption of log-normality, we get
1In the New Keyesian literature, the price dispersion is usually defined as∫ 1
0(Pt(i)Pt
)−λdi.
10
1 = exp[Et mt,t+1 + Et rt+1 +1
2vart (mt,t+1) +
1
2vart (rt+1) + covt(mt,t+1, rt+1)]
So we can get the log excess return of this asset over rft+1
Et rt+1 +1
2vart rt+1 − rft+1 = −covt(mt,t+1, rt+1).
Consider return of a claim to dividends in period t+ 1 with current price St , Rt+1 =Dt+1
St. Following Li and Palomino (2014) and Weber (2015), we can drive the expected
excess return of a claim to dividends:
Et rt+1 +1
2vart rt+1 − rft+1 = −covt(mt,t+1, rt+1)
= −covt(mt,t+1, dt+1)
Taking a first-order difference around the steady state markup, µ = λλ−1
, we have
log(1− 1
µt) ≈ log(1− 1
µ) +
1
µ− 1(log µt − log µ)
Then from A.19 and A.18, we can have
dt+1 = yt+1 + log(1− 1
µ) + (λ− 1)(log µt+1 − log µ)
= yt+1 + log(1− 1
µ) + (λ− 1)(−mct − wpdst+1).
So the expected excess return difference is
Et rt+1 +1
2vart rt+1 − rft+1 = −covt(mt,t+1, dt+1)
= −covt(mt,t+1, yt+1)− (λ− 1)covt(mt,t+1,−mct)
+(λ− 1)covt(mt,t+1, wpdst+1)
In our model,
11
Mt,t+1 = β(Ct+1
Ct)−γ.
So,
mt,t+1 = −γ(yt+1 − yt).
Also, from the labor-supply function,
−mct = −(γ + ϕ)yt+1 − λt+1.
In∫ 1
0MCt(i)MCt
(Pt(i)Pt
)−λdi, both MCt(i) and Pt(i) are affected by the idiosyncratic shock,
so we cannot get the wpdst+1 analytically. We will have to resort to numerical methods
to derive the expected excess return.
12
Tab
leA
.1:
Bevera
ge
and
Tobacc
oM
anufa
cturi
ng
This
tabl
eil
lust
rate
sth
egr
an
ula
rst
ruct
ure
of
the
Bev
erage
an
dT
oba
cco
Man
ufa
ctu
rin
gse
ctor.
NA
ICS
secto
rSecto
rnam
eP
roduct
code
Pro
duct
nam
eSin
ce
312—
Bevera
ge
&to
bacco
mfg
312—
Bevera
ge
&to
bacco
mfg
200312
3121–
Bevera
ge
mfg
3121–
Bevera
ge
mfg
198412
31211-
Soft
dri
nk
&ic
em
fg31211-
Soft
dri
nk
&ic
em
fg200312
312111
Soft
dri
nk
manufa
ctu
ring
312111
Soft
dri
nk
manufa
ctu
ring
198106
312111
Soft
dri
nk
manufa
ctu
ring
3121112
Soft
dri
nks,
bott
led,
canned,
gla
ss,
pla
stic
,carb
onate
d201112
312111
Soft
dri
nk
manufa
ctu
ring
312111A
Soft
dri
nks,
non-c
arb
onate
d200012
312111
Soft
dri
nk
manufa
ctu
ring
312111A
3Soft
dri
nks,
non-c
arb
onate
d,
all
oth
er
typ
es
200706
312111
Soft
dri
nk
manufa
ctu
ring
312111A
4Soft
dri
nks,
non-c
arb
onate
d,
fruit
dri
nks,
cockta
ils,
ades
201112
312111
Soft
dri
nk
manufa
ctu
ring
312111M
Mis
cellaneous
receip
ts198106
312111
Soft
dri
nk
manufa
ctu
ring
312111M
MM
iscellaneous
receip
ts198106
312111
Soft
dri
nk
manufa
ctu
ring
312111P
Pri
mary
pro
ducts
198106
312111
Soft
dri
nk
manufa
ctu
ring
312111S
Secondary
pro
ducts
198106
312112
Bott
led
wate
rm
anufa
ctu
ring
312112
Bott
led
wate
rm
anufa
ctu
ring
200312
312112
Bott
led
wate
rm
anufa
ctu
ring
3121120
Bott
led
wate
r200012
312112
Bott
led
wate
rm
anufa
ctu
ring
312112P
Pri
mary
pro
ducts
200312
312113
Ice
manufa
ctu
ring
312113
Ice
manufa
ctu
ring
198512
312113
Ice
manufa
ctu
ring
3121130
Ice
200312
312113
Ice
manufa
ctu
ring
312113M
Mis
cellaneous
receip
ts199808
312113
Ice
manufa
ctu
ring
312113P
Pri
mary
pro
ducts
198512
312113
Ice
manufa
ctu
ring
312113S1
Secondary
pro
ducts
200912
31212-
Bre
weri
es
31212-
Bre
weri
es
200312
312120
Bre
weri
es
312120
Bre
weri
es
198206
312120
Bre
weri
es
3121201
Canned
beer
and
ale
case
goods
198206
312120
Bre
weri
es
3121204Z
Bott
led
beer
and
ale
case
goods
198206
312120
Bre
weri
es
3121207
Beer
and
ale
inbarr
els
and
kegs
198206
312120
Bre
weri
es
3121209
All
oth
er
malt
bevera
ges
and
bre
win
gpro
ducts
198206
312120
Bre
weri
es
312120M
Mis
cellaneous
receip
ts200212
312120
Bre
weri
es
312120P
Pri
mary
pro
ducts
198206
312120
Bre
weri
es
312120S
Secondary
pro
ducts
200312
31213-
Win
eri
es
31213-
Win
eri
es
200312
312130
Win
eri
es
312130
Win
eri
es
198312
312130
Win
eri
es
3121300
Win
es,
bra
ndy,
and
bra
ndy
spir
its
199812
312130
Win
eri
es
31213008
Win
es,
whit
e,
red
&ro
segra
pe,
and
oth
er
fruit
,14
perc
ent
or
less
alc
ohol
201112
312130
Win
eri
es
3121300811
Win
es,
whit
egra
pe,
14
perc
ent
or
less
alc
ohol
conte
nt
198312
312130
Win
eri
es
3121300821
Win
es,
red
gra
pe,
14
perc
ent
or
less
alc
ohol
conte
nt
198312
312130
Win
eri
es
3121300831
Win
es,
rose
gra
pe
&oth
er
fruit
s&
berr
ies,
14
perc
ent
or
less
alc
ohol
201112
312130
Win
eri
es
31213009
Win
es,
dess
ert
,eff
erv
esc
ent,
and
win
ecoole
rs201112
312130
Win
eri
es
3121300911
Win
es,
dess
ert
,exclu
din
gsp
ecia
ltie
s201112
312130
Win
eri
es
3121300921
Win
es,
eff
erv
esc
ent,
inclu
din
gsp
ark
ling
(carb
onate
d),
win
ecoole
rs201112
312130
Win
eri
es
3121300B
Oth
er
win
es,
bra
ndy,
and
bra
ndy
spir
its
200606
312130
Win
eri
es
312130M
Mis
cellaneous
receip
ts199112
312130
Win
eri
es
312130P
Pri
mary
pro
ducts
198312
31214-
Dis
tilleri
es
31214-
Dis
tilleri
es
200312
312140
Dis
tilleri
es
312140
Dis
tilleri
es
198306
312140
Dis
tilleri
es
3121402
Dis
till
ed
liquor,
except
bra
ndy
199807
312140
Dis
tilleri
es
31214022
Dis
tilled
whis
key,
all
oth
er
dis
tilled
liquor,
exclu
din
gbra
ndy
201112
312140
Dis
tilleri
es
3121404
Bott
led
liquor,
except
bra
ndy
198306
312140
Dis
tilleri
es
3121404B
Bott
led
whis
key
201206
312140
Dis
tilleri
es
3121404C
Bott
led
gin
,vodka,
rum
,cord
ials
,cockta
ils,
and
sim
ilia
rcom
pounds
201206
312140
Dis
tilleri
es
3121404D
All
oth
er
bott
led
liquor,
except
bra
ndy
201206
312140
Dis
tilleri
es
312140M
Mis
cellaneous
receip
ts198308
312140
Dis
tilleri
es
312140M
MM
iscellaneous
receip
ts198308
312140
Dis
tilleri
es
312140P
Pri
mary
pro
ducts
198306
312140
Dis
tilleri
es
312140S
Secondary
pro
ducts
199712
312140
Dis
tilleri
es
312140SS
Secondary
pro
ducts
198306
3122–
Tobacco
mfg
3122–
Tobacco
mfg
198412
31223-
Tobacco
manufa
ctu
ring
31223-
Tobacco
manufa
ctu
ring
198212
312230
Tobacco
manufa
ctu
ring
312230
Tobacco
manufa
ctu
ring
201112
312230
Tobacco
manufa
ctu
ring
3122300
Tobacco
stem
min
gand
redry
ing
198406
312230
Tobacco
manufa
ctu
ring
31223001
Tobacco,
unst
em
med
leaf,
redri
ed
befo
repackin
g200312
312230
Tobacco
manufa
ctu
ring
31223004
Tobacco,
stem
med
198406
312230
Tobacco
manufa
ctu
ring
3122301
Cig
are
ttes,
inclu
din
gnonto
bacco
198212
312230
Tobacco
manufa
ctu
ring
3122309
Oth
er
tobacco
pro
ducts
200312
312230
Tobacco
manufa
ctu
ring
31223091
Cig
ars
198212
312230
Tobacco
manufa
ctu
ring
31223094
Chew
ing
and
smokin
gto
bacco
198212
312230
Tobacco
manufa
ctu
ring
31223097
Reconst
itute
dto
bacco,
pro
cess
ed
sheet
and
hom
ogeniz
ed
198906
312230
Tobacco
manufa
ctu
ring
312230P
Pri
mary
pro
ducts
201112
13
Table A.2: An Example of Concordance between NAICS and SIC
This table illustrates the concordance between the 2002 North American Industry Classification System
(NAICS) and the 1987 Standard Industrial Classification System (SIC) in the Producer Price Index
(PPI) program complied by the Bureau of Labor Statistics (BLS). Panel A presents the concordance for
the Petroleum and Coal Products Manufacturing sector. Panel B presents the concordance for the Textile
Mills sector.
Panel A: Petroleum and Coal Products Manufacturing
NAICS Product Name SIC324110 Petroleum refineries 2911324110P Primary products 2911P3241101 Gasoline, including finished base stocks and blending agents 29111324110111 Aviation gasoline (except jet fuel) incl finished base stocks & blending agents 291111132411013 Motor gasoline, including finished base stocks and blending agents 291113324110134 Regular gasoline 2911134324110135 Mid-premium gasoline 2911135324110136 Premium gasoline 29111363241102 Jet fuel 291123241103 Kerosene, except jet fuel 291133241104 Light fuel oils 29114324110411 Home heating oil and other distillates, NEC 2911411324110413 Diesel fuel 29114133241105 Heavy fuel oils, including No. 5, No. 6, heavy diesel, gas enrichment oils, etc. 291153241107 Lubricating oil and greases, made in a refinery 291173241108 Unfinished oils and lubricating oil base stock 291183241109 Asphalt 29119324110A Liquefied refinery gases, including other aliphatics(feed stock and other uses) 2911A324110D Other finished petroleum products, including waxes 2911D324110SM Secondary and miscellaneous products 2911SM324110M Miscellaneous receipts 2911M324110S Secondary products 2911S
Panel B: Textile Mills
NAICS Product Name SIC313311 Broadwoven fabric finishing mills313311P Primary products3133111 Finished cotton broadwoven fabrics (not finished in weaving mills) 226173133113 Job or commission finishing of cotton broadwoven fabrics 226193133115 Finished manmade fiber & silk broadwoven fabrics (not finished in weaving mills) 226283133117 Job or commission finishing of manmade fiber and silk broadwoven fabrics 226293133119 Finished broadwoven wool fabrics and felts (not finished in weaving mills)313311SM Secondary products and miscellaneous receipts313311M Miscellaneous receipts313311S Secondary products313312 Textile/fabric finishing (exc broadwoven) mills313312P Primary products3133121 Finished fabrics (except broadwoven) and other finished textiles313312SM Secondary products and miscellaneous receipts313312M Miscellaneous receipts313312S Secondary products313320 Fabric coating mills 2295313320P Primary products 2295P3133201 Vinyl coated fabrics, including expanded vinyl coated 229523133203 Rubber coated fabrics3133205131 Pyroxylin and polyurethane coated fabrics 22953163133205491 Other coated or laminated fabrics, excluding rubberized fabrics 2295322313320SM Secondary products and miscellaneous receipts 2295SM313320M Miscellaneous receipts 2295M313320S Secondary products 2295S
14
Table A.3: Expansion of BLS Publication Coverage across Sectors
This table reports descriptive statistics for the coverage expansion in January 2004 by the Office of
Publications at BLS across 3-digit NAICS sectors. ∆Pub%2004j is the difference between Pub%jsjs in
January 2004 and November 2003 for a 3-digit NAICS sector k. For each k, Pub% is measured as the
number of product indices published by BLS in a month as a fraction of the maximum number of products
observed in that sector (see equation (3) for a detailed description).
Sector Name NAICS ∆Pub%2004
Forestry and Logging 113 0.00Oil and Gas Extraction 211 0.00Mining (except Oil and Gas) 212 0.04Support Activities for Mining 213 0.18Utilities 221 0.23Construction of Buildings 236Specialty Trade Contractors 238Food Manufacturing 311 0.08Beverage and Tobacco Product Manufacturing 312 0.19Textile Mills 313 0.18Textile Product Mills 314 0.26Apparel Manufacturing 315 0.23Leather and Allied Product Manufacturing 316 0.19Wood Product Manufacturing 321 0.45Paper Manufacturing 322 0.22Printing and Related Support Activities 323 0.26Petroleum and Coal Products Manufacturing 324 0.02Chemical Manufacturing 325 0.10Plastics and Rubber Products Manufacturing 326 0.20Nonmetallic Mineral Product Manufacturing 327 0.12Primary Metal Manufacturing 331 0.21Fabricated Metal Product Manufacturing 332 0.12Machinery Manufacturing 333 0.12Computer and Electronic Product Manufacturing 334 0.18Electrical Equipment, Appliance, and Component Manufacturing 335 0.18Transportation Equipment Manufacturing 336 0.27Furniture and Related Product Manufacturing 337 0.24Miscellaneous Manufacturing 339 0.08Merchant Wholesalers, Durable Goods 423Merchant Wholesalers, Nondurable Goods 424Wholesale Electronic Markets and Agents and Brokers 425Recyclable Materials 429 -0.03Motor Vehicle and Parts Dealers 441 0.38Furniture and Home Furnishings Stores 442 0.40Electronics and Appliance Stores 443 0.23Building Material and Garden Equipment and Supplies Dealers 444 0.61Food and Beverage Stores 445 0.19Health and Personal Care Stores 446 0.17Gasoline Stations 447 0.47Clothing and Clothing Accessories Stores 448 0.31Sporting Goods, Hobby, Musical Instrument, and Book Stores 451 0.26General Merchandise Stores 452 0.73Miscellaneous Store Retailers 453 0.27Nonstore Retailers 454 0.39Air Transportation 481 0.07Rail Transportation 482 0.00Water Transportation 483 0.65Truck Transportation 484 0.56Pipeline Transportation 486 0.33Support Activities for Transportation 488 0.33Postal Service 491 0.00Couriers and Messengers 492 0.60Warehousing and Storage 493 0.25Publishing Industries (except Internet) 511 0.21Broadcasting (except Internet) 515 0.33Telecommunications 517 0.13Data Processing, Hosting, and Related Services 518 0.25Other Information Services 519Credit Intermediation and Related Activities 522Securities, Commodity Contracts, and Other Financial Investments and Related Activities 523 0.42Insurance Carriers and Related Activities 524 0.09Real Estate 531 0.50Rental and Leasing Services 532 0.33Professional, Scientific, and Technical Services 541 0.15Administrative and Support Services 561 0.12Waste Management and Remediation Services 562 0.50Educational Services 611Ambulatory Health Care Services 621 0.08Hospitals 622 0.11Nursing and Residential Care Facilities 623 0.35Amusement, Gambling, and Recreation Industries 713Accommodation 721 0.54Repair and Maintenance 811Administration of Environmental Quality Programs 924 0.09
15
Table A.4: Triple Difference: BLS Publication, Price Stickiness, and Borrow-ing Costs (Interactions): January 1997-December 2012, OLS Regression
This table reports the results for estimating the following linear equation:
Spreadqjs = α+ β1 × Stickyj + β2 ×Bondis + Pub%ks + γ × Stickyj ×Bondis × Pub%ks+
δ1 × Stickyj ×Bondis + δ2 × Stickyj ×Bondjsw + δ3 × Pub%ks +X ′i,t−1 × θ + ηi + ηt + εqjs,
The Great Recession period (December 2007 to June 2009) is excluded. q, i, j, k, s, and t denote
borrowing transaction, firm, 6- and 3-digit NAICS sectors, month, and year, respectively. The sample
is restricted to common stocks (listed on NYSE, AMEX, and NASAQ) of firms whose headquarters are
based in the United States. Utilities and Financial sectors are excluded. Spread is the difference between
the bond, or syndicated loan, interest rate and the risk-free rate. Sticky is an indicator variable equal to
1 if the frequency of price adjustment (FPA) is below the sample median, and zero otherwise. FPA is the
frequency of price adjustment at the granular sector level (see Table 1 for a detailed description). Bond is
an indicator variable equal to 1 if the firm borrows a public bond, and zero if the firm borrows a loan. For
each k, Pub% is measured as the number of product indices published by BLS in a month as a fraction
of the maximum number of products observed in that sector (see equation (3) for a detailed description).
HPub% is a dummy variable that equals 1 if Pub% is above the sample median, and zero otherwise.X ′i,t−1is a vector of additional controls (see Table 2 for a detailed description). Standard errors are clustered at
the 3-digit NAICS level.
(1) (2) (3) (4)Sticky -10.41 -6.95
(-0.59) (-1.50)Bond 110.65*** 119.34*** 111.01*** 119.47***
(10.11) (10.74) (10.26) (10.86)Pub% -16.08 18.22
(-0.79) (1.14)HPub% -17.82* -2.75
(-1.99) (-0.33)Sticky × Bond 109.33*** 122.09*** 11.03 12.90
(3.24) (3.57) (0.95) (1.05)Sticky × Pub% 13.83 -10.02
(0.69) (-0.47)Sticky × HPub% 12.22* -0.71
(2.00) (-0.11)Sticky × Bond × Pub% -164.01*** -176.80***
(-4.08) (-4.28)Sticky × Bond × HPub% -49.89*** -48.33***
(-4.52) (-4.31)Total Vol 2638.56*** 2337.91*** 2629.81*** 2331.42***
(13.55) (11.64) (13.79) (11.94)Profitability -176.92*** -151.94*** -174.59*** -149.53***
(-5.26) (-3.83) (-5.28) (-3.80)Size -24.51*** -22.36*** -24.55*** -22.63***
(-15.09) (-4.32) (-15.29) (-4.50)BM 4.83*** 1.09 4.70*** 1.01
(2.82) (0.53) (2.78) (0.48)Intangibility 18.16 2.20 15.89 -0.62
(1.23) (0.10) (1.07) (-0.03)Lev 150.58*** 78.91*** 150.89*** 79.28***
(11.50) (5.47) (11.73) (5.44)PCM -15.22 -16.31 -15.84 -17.22
(-0.58) (-1.27) (-0.61) (-1.35)HP HHI 6.67 16.01* 7.05 16.99*
(0.72) (1.84) (0.79) (1.98)Constant 308.00*** 304.03*** 305.09*** 315.57***
(12.13) (6.75) (13.89) (7.95)Year FE Yes Yes Yes YesHP 100 FE Yes Yes Yes YesFirm FE No No No NoN 10685 10685 10685 10685adj. R2 0.50 0.66 0.50 0.66
t-statistics in parentheses∗p < 0.10, ∗ ∗ p < 0.05, ∗ ∗ ∗p < 0.01
16
Tab
leA
.5:
BL
SP
ublica
tion
,P
rice
Sti
ckin
ess,
and
Loa
nC
ontr
act
Ter
ms:
Jan
uar
y19
97-D
ecem
ber
2012
,O
LS
Reg
ress
ion
This
tabl
ere
port
sth
ere
sult
sfo
res
tim
ati
ng
the
foll
ow
ing
lin
ear
equ
ati
on
:
Contract
term
s qjs
=α
+β×Sticky j
+γ×Sticky j×Pub%
ks
+δ×Pub%
ks
+X′ i,t−
1×θ
+η i
+η t
+ε qjs,
The
Gre
at
Rec
essi
on
peri
od(D
ecem
ber
2007
toJ
un
e2009)
isex
clu
ded
.U
tili
ties
an
dF
inan
cial
sect
ors
are
excl
uded
.q,i,j,k
,s,
an
dt
den
ote
dea
l,
firm
,6-
an
d3-d
igit
NA
ICS
sect
ors
,m
on
th,
an
dye
ar,
resp
ecti
vely
.L
oan
con
tract
term
sare
des
crib
edas
foll
ow
s.O
wn
pis
the
ow
ner
ship
of
the
lead
ban
kin
each
dea
l.M
aty
isth
en
atu
ral
loga
rith
mof
loan
matu
rity
.D
ivd
isan
indic
ato
req
ual
to1
ifth
edea
lhas
aco
ven
an
tof
div
iden
dre
stri
ctio
n,
an
d
zero
oth
erw
ise.
Capx
isan
indic
ato
req
ual
to1
ifth
edea
lhas
aco
ven
an
tof
capit
al
expe
ndit
ure
rest
rict
ion
,an
dze
rooth
erw
ise.
Per
eis
an
indic
ato
r
equ
al
to1
ifth
edea
lhas
ape
rform
an
ceco
ven
an
tre
stri
ctio
n,
an
dze
rooth
erw
ise.
Per
form
an
ceco
ven
an
tsare
those
rely
on
inco
me
state
men
t(c
ash
-flow
state
men
t)in
form
ati
on
.C
apl
isan
indic
ato
req
ual
to1
ifth
edea
lhas
aca
pit
al
cove
nan
tre
stri
ctio
n,
an
dze
rooth
erw
ise.
Capit
al
cove
nan
tsare
those
that
rely
on
bala
nce
-sh
eet
info
rmati
on
.S
tick
yis
an
indic
ato
rva
riabl
eeq
ual
to1
ifth
efr
equ
ency
of
pri
ceadju
stm
ent
(FP
A)
isbe
low
the
sam
ple
med
ian
,
an
dze
rooth
erw
ise.
FP
Ais
the
freq
uen
cyof
pri
ceadju
stm
ent
at
the
gran
ula
rse
ctor
leve
l(s
eeT
abl
e1
for
adet
ail
eddes
crip
tion
).B
on
dis
an
indic
ato
r
vari
abl
eeq
ua
lto
1if
the
firm
borr
ow
sa
pu
blic
bon
d,
an
dze
roif
the
firm
borr
ow
sa
loan
.X′ i,t−
1is
ave
ctor
of
addit
ion
al
con
trols
(see
Tabl
e2
for
a
det
ail
eddes
crip
tion
).C
olu
mn
s(1
)-
(6)
pre
sen
tre
sult
sfo
rO
LS
regr
essi
on
s,an
dco
lum
ns
(7)
a€
“(1
2)
pre
sen
tre
sult
sfo
rIV
esti
mati
on
.S
eeeq
uati
on
(5)
for
the
des
crip
tion
of
the
IVappro
ach
.
OL
SIV
Ow
np
Maty
Div
dC
apx
Fin
lC
ap
lO
wn
pM
aty
Div
dC
apx
Fin
lC
ap
l(1
)(2
)(3
)(4
)(5
)(6
)(7
)(8
)(9
)(1
0)
(11)
(12)
Sti
cky×
Pu
b%
0.0
7-0
.13
-0.0
20.0
2-0
.06
-0.0
20.0
6-0
.19*
-0.0
9-0
.01
-0.0
7-0
.06
(1.0
5)
(-0.9
2)
(-0.1
5)
(0.3
9)
(-0.7
4)
(-0.2
0)
(0.9
9)
(-1.8
3)
(-0.9
2)
(-0.2
4)
(-0.8
0)
(-0.6
3)
Pu
b%
0.0
10.0
3-0
.09
-0.0
8*
-0.0
1-0
.02
0.0
1-0
.01
-0.2
0**
-0.1
3**
-0.1
0-0
.12
(0.1
9)
(0.2
3)
(-0.8
7)
(-1.7
4)
(-0.0
9)
(-0.1
6)
(0.2
2)
(-0.0
9)
(-2.2
6)
(-2.4
6)
(-1.2
0)
(-0.9
6)
Pro
fita
bilit
y0.0
2-0
.03
-0.3
3***
-0.2
2**
0.2
9***
0.2
0*
0.0
2-0
.02
-0.3
3***
-0.2
2***
0.3
0***
0.2
0**
(0.1
0)
(-0.1
2)
(-2.7
1)
(-2.3
2)
(4.2
6)
(1.9
5)
(0.1
4)
(-0.1
4)
(-3.1
2)
(-2.7
0)
(5.0
5)
(2.3
2)
Siz
e-0
.06***
-0.0
4*
-0.0
2-0
.02*
-0.0
2-0
.01
-0.0
6***
-0.0
4**
-0.0
2*
-0.0
2**
-0.0
2-0
.01
(-3.3
0)
(-1.7
3)
(-1.4
8)
(-1.8
2)
(-1.0
2)
(-0.7
2)
(-4.5
7)
(-2.1
3)
(-1.8
5)
(-2.2
5)
(-1.2
8)
(-0.9
2)
BM
-0.0
0-0
.01
0.0
0-0
.00
0.0
1-0
.01
-0.0
0-0
.01
0.0
0-0
.00
0.0
1-0
.01
(-0.0
3)
(-0.6
4)
(0.2
8)
(-0.0
8)
(0.9
0)
(-1.1
5)
(-0.0
4)
(-0.8
0)
(0.2
8)
(-0.1
2)
(1.0
2)
(-1.3
8)
Inta
ngib
ilit
y-0
.15*
-0.0
9-0
.12
-0.1
1**
-0.1
0-0
.00
-0.1
5***
-0.0
8-0
.12*
-0.1
1**
-0.1
00.0
0(-
1.8
7)
(-0.8
3)
(-1.5
1)
(-2.2
0)
(-1.2
3)
(-0.0
5)
(-2.6
1)
(-0.9
7)
(-1.6
9)
(-2.5
4)
(-1.4
5)
(0.0
0)
Lev
-0.0
6-0
.04
-0.0
10.1
1*
-0.0
5-0
.10
-0.0
6-0
.05
-0.0
10.1
1**
-0.0
5-0
.10
(-0.9
9)
(-0.5
9)
(-0.1
6)
(1.8
2)
(-1.2
3)
(-1.2
1)
(-1.3
9)
(-0.7
2)
(-0.1
9)
(2.1
3)
(-1.4
5)
(-1.4
0)
PC
M-0
.05
0.2
40.1
2-0
.00
-0.0
10.0
1-0
.05
0.2
40.1
2*
0.0
0-0
.01
0.0
1(-
0.6
7)
(1.3
6)
(1.4
1)
(-0.0
0)
(-0.3
5)
(0.1
3)
(-0.9
4)
(1.6
1)
(1.6
7)
(0.0
1)
(-0.4
1)
(0.1
6)
HP
HH
I-0
.00
-0.0
6-0
.02
-0.0
1-0
.01
-0.0
4-0
.00
-0.0
7-0
.03
-0.0
1-0
.02
-0.0
5(-
0.0
1)
(-1.0
6)
(-0.8
2)
(-0.2
5)
(-0.3
6)
(-0.9
7)
(-0.0
2)
(-1.2
6)
(-1.0
7)
(-0.3
3)
(-0.4
3)
(-1.1
9)
Con
stant
0.7
1***
4.2
9***
0.6
2***
0.4
8***
0.3
7**
0.7
7***
(3.4
2)
(17.3
6)
(3.1
9)
(3.0
0)
(2.5
1)
(4.5
0)
Yea
rF
EY
esY
esY
esY
esY
esY
esY
esY
esY
esY
esY
esY
esF
irm
FE
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
N3078
9319
9920
9920
9920
9920
2317
8485
9079
9079
9079
9079
ad
j.R
20.6
70.3
00.2
80.3
40.3
80.2
7
t-st
ati
stic
sin
pare
nth
eses
∗p<
0.1
0,∗∗p<
0.0
5,∗∗∗p<
0.0
1
17
Tab
leA
.6:
BL
SP
ublica
tion,
Pri
ceSti
ckin
ess
,and
Borr
ow
ing
Cost
s(c
ross
-sect
ional
regre
ssio
n):
January
1997–
Dece
mb
er
2012,
OL
SR
egre
ssio
n
This
tabl
ere
port
sth
ere
sult
sfo
res
tim
ati
ng
the
foll
ow
ing
lin
ear
equ
ati
on
:
Spreadi
=α
+β×Bondi+γ×Bondi×Pub%
k+δ×Pub%
k+X′ i×θ
+η j
+ε i,
The
Gre
at
Rec
essi
on
peri
od(D
ecem
ber
2007
toJ
un
e2009)
isex
clu
ded
.U
tili
ties
an
dF
inan
cial
sect
ors
are
excl
uded
.T
he
data
are
coll
apse
dto
asi
ngl
e
cross
sect
ion
base
don
firm
an
dis
suan
cety
pe(i
.e.,
bon
dan
dlo
an
).i,j,
an
dk
den
ote
firm
,6-d
igit
,an
d3-d
igit
NA
ICS
sect
ors
,re
spec
tive
ly.
Sti
cky-
an
dfl
exib
le-p
rice
-firm
subs
am
ple
sare
form
edba
sed
on
whet
her
the
freq
uen
cyof
pri
ceadju
stm
ent
(FP
A)
isbe
low
or
abo
veth
esa
mple
med
ian
.F
PA
is
mea
sure
dat
the
gran
ula
rse
ctor
leve
l(s
eeT
abl
e1
for
adet
ail
eddes
crip
tion
).S
pre
ad
isth
ediff
eren
cebe
twee
nth
ebo
nd,
or
syn
dic
ate
dlo
an
,in
tere
stra
te
an
dth
eri
sk-f
ree
rate
.B
on
dis
an
indic
ato
rva
riabl
eeq
ual
to1if
afi
rmbo
rrow
sa
pu
blic
bon
d,
an
dze
roif
afi
rmbo
rrow
sa
loan
.Pub%
ism
easu
red
as
the
nu
mbe
rof
pro
du
ctin
dic
espu
blis
hed
byB
LS
ina
mon
thas
afr
act
ion
of
the
maxi
mu
mn
um
ber
of
pro
du
cts
obs
erve
din
that
sect
or
(see
equ
ati
on
(3)
for
adet
ail
eddes
crip
tion
).HPub%
isa
du
mm
yth
at
equ
als
1ifPub%
isabo
veth
esa
mple
med
ian
,an
dze
rooth
erw
ise.X′ i,t−
1is
ave
ctor
of
addit
ion
al
con
trols
(see
Tabl
e2
for
adet
ail
eddes
crip
tion
).S
tan
dard
erro
rsare
clu
ster
edat
the
3-d
igit
NA
ICS
leve
l.
Sti
cky
Fle
xib
leS
tick
yF
lexib
le(1
)(2
)(3
)(4
)(5
)(6
)(7
)(8
)B
on
d249.4
6***
274.9
9***
153.8
7**
152.6
0*
180.7
0***
184.8
0***
173.4
1***
169.5
3***
(4.8
8)
(5.2
1)
(2.0
7)
(2.0
1)
(9.5
0)
(10.2
0)
(9.4
0)
(9.5
4)
Bon
d×
Pu
b%
-123.1
8*
-161.6
6**
20.2
118.2
1(-
1.9
5)
(-2.4
9)
(0.2
0)
(0.1
7)
Pu
b%
164.1
2***
228.4
5***
178.6
4***
217.8
5***
(3.6
0)
(5.1
6)
(4.4
0)
(5.2
4)
Bon
d×
HP
ub
%-3
4.9
6**
-45.0
3***
-4.1
2-1
.71
(-2.3
4)
(-3.1
9)
(-0.1
7)
(-0.0
7)
HP
ub
%25.2
5***
33.8
0***
39.4
0***
42.5
5***
(5.6
8)
(7.0
2)
(4.7
6)
(4.9
1)
Tota
lV
ol
1891.4
3***
2348.4
9***
1680.8
9***
2063.2
9***
(9.7
7)
(3.6
9)
(8.9
4)
(3.0
6)
Pro
fita
bilit
y-3
40.1
7***
-240.9
2***
-358.6
0***
-243.4
8***
-336.3
0***
-246.8
7***
-371.9
4***
-271.0
7***
(-5.9
3)
(-3.9
3)
(-3.6
6)
(-3.4
1)
(-5.8
3)
(-4.0
6)
(-3.8
6)
(-3.9
5)
Ln
(Sale
s)-3
7.6
0***
-30.1
5***
-31.1
2***
-23.8
7***
-36.9
7***
-30.1
2***
-29.7
0***
-23.0
1***
(-14.8
1)
(-13.0
3)
(-10.4
4)
(-6.3
9)
(-13.9
8)
(-11.7
9)
(-10.5
2)
(-6.3
1)
BM
7.4
010.9
7**
5.9
55.7
66.5
69.4
6**
6.2
8*
6.2
4**
(1.6
2)
(2.6
3)
(1.5
7)
(1.6
6)
(1.4
3)
(2.2
0)
(1.9
4)
(2.1
3)
Inta
ngib
ilit
y21.6
434.8
83.4
615.6
330.2
745.2
4**
8.2
620.5
9(0
.96)
(1.6
0)
(0.0
7)
(0.3
1)
(1.4
1)
(2.1
2)
(0.1
8)
(0.4
6)
Lev
128.0
6***
127.3
0***
151.9
8***
137.6
7***
122.5
9***
119.9
5***
146.5
7***
132.3
8***
(5.8
9)
(6.2
3)
(6.4
9)
(5.4
9)
(5.6
3)
(5.7
8)
(6.6
6)
(5.8
2)
PC
M62.5
050.2
654.8
950.5
961.2
250.0
253.9
449.5
2(1
.20)
(1.1
5)
(1.1
6)
(1.3
1)
(1.2
1)
(1.1
7)
(1.1
2)
(1.2
4)
HP
HH
I0.6
5-8
.20
27.4
411.7
34.1
0-2
.57
28.9
114.9
3(0
.06)
(-0.7
0)
(0.5
3)
(0.2
5)
(0.4
0)
(-0.2
5)
(0.5
6)
(0.3
1)
Con
stant
283.3
1***
115.6
7***
214.1
1***
61.1
9380.9
5***
265.9
6***
312.7
0***
199.6
4***
(7.9
9)
(3.3
4)
(7.2
5)
(1.0
7)
(31.3
0)
(18.1
1)
(14.7
5)
(3.9
3)
NA
ICS
6F
EY
esY
esY
esY
esY
esY
esY
esY
esN
1973
1973
1046
1046
1973
1973
1046
1046
ad
jR
20.4
80.5
10.4
90.5
30.4
70.5
10.4
80.5
1
t-st
ati
stic
sin
pare
nth
eses
∗p<
0.1
0,∗∗p<
0.0
5,∗∗∗p<
0.0
1
18
Tab
leA
.7:
BL
SP
ublica
tion,
Pri
ceSti
ckin
ess
,and
Sto
ck-R
etu
rnV
ola
tili
ty:
July
1997-J
une
2013
This
tabl
ere
port
sth
ere
sult
sfo
rth
efo
llow
ing
lin
ear
equ
ati
on
:
Voli,t+
1=α
+β×
(Sticky j
)+γ×
(Sticky j
)×Pub%
kt
+δ×Pub%
kt
+θ 1×Voli,t
+X′ it−1×θ 2
++η k
+η t
+ε jt,
See
equ
ati
on
(5)
for
the
des
crip
tion
of
the
IVappro
ach
.i,j,k
,an
dt
den
ote
firm
,6-
an
d3-d
igit
NA
ICS
sect
ors
,an
dye
ar,
resp
ecti
vely
.T
he
sam
ple
is
rest
rict
edto
com
mon
stoc
ks(l
iste
don
NY
SE
,A
ME
X,
an
dN
AS
AQ
)of
firm
sw
hose
hea
dqu
art
ers
are
base
din
the
Un
ited
Sta
tes.
Uti
liti
esan
dF
inan
cial
sect
ors
are
excl
uded
.V
ol
isth
est
an
dard
dev
iati
on
of
dail
yst
ock
retu
rns
calc
ula
ted
from
Ju
lyof
each
year
tto
Ju
ne
of
t+1.
We
set
the
vola
tili
tyto
mis
sin
gif
we
have
less
than
60
dail
yre
turn
obs
erva
tion
s.T
ota
lV
ol
isca
lcu
late
du
sin
gra
wre
turn
s,an
dId
ioV
ol
isca
lcu
late
du
sin
gre
sidu
al
retu
rns
esti
mate
dfr
om
CA
PM
mod
el.
Sti
cky
isan
indic
ato
rva
riabl
eeq
ual
to1
ifth
efr
equ
ency
of
pri
ceadju
stm
ent
(FP
A)
isbe
low
the
sam
ple
med
ian
,an
d
zero
oth
erw
ise.
FP
Ais
the
freq
uen
cyof
pri
ceadju
stm
ent
at
the
gran
ula
rse
ctor
leve
l(s
eeT
abl
e1
for
adet
ail
eddes
crip
tion
).F
or
each
3-d
igit
NA
ICS
sect
or
kas
of
Ju
ne
of
yeart,Pub%
ism
easu
red
as
the
nu
mbe
rof
pro
du
ctin
dic
espu
blis
hed
byB
LS
as
afr
act
ion
of
the
maxi
mu
mn
um
ber
of
pro
du
cts
obs
erve
din
that
sect
or
(see
equ
ati
on
(3)
for
adet
ail
eddes
crip
tion
).X′ it−1
isa
set
of
con
trol
vari
abl
es(s
eeT
abl
efo
ra
det
ail
eddes
crip
tion
).A
llth
e
vari
abl
esare
win
sori
zed
at
the
2.5%
leve
l.S
tan
dard
erro
rsare
clu
ster
edat
the
3-d
igit
NA
ICS
leve
l.In
colu
mn
s(9
)-(1
4),
IVes
tim
ati
on
sare
perf
orm
ed.
See
equ
ati
on
(5)
for
the
des
crip
tion
of
the
IVappro
ach
.
OL
SIV
(1)
(2)
(3)
(4)
(5)
(6)
(7)
(8)
(9)
(10)
(11)
(12)
Sti
cky
0.0
06***
0.0
05***
0.0
12***
0.0
11***
(3.5
9)
(3.7
0)
(4.2
4)
(4.7
0)
Sti
cky×
Pub%
-0.0
08***
-0.0
09***
-0.0
11***
-0.0
07***
-0.0
08***
-0.0
09***
-0.0
15***
-0.0
13***
-0.0
14***
-0.0
14***
-0.0
12***
-0.0
13***
(-3.7
9)
(-3.5
4)
(-2.7
3)
(-4.0
1)
(-3.7
6)
(-2.7
7)
(-4.4
8)
(-3.6
6)
(-2.9
1)
(-4.9
8)
(-3.9
4)
(-3.1
4)
Pub%
0.0
04***
0.0
05***
0.0
06**
0.0
04***
0.0
05***
0.0
06***
-0.0
02
-0.0
04***
-0.0
03*
-0.0
03*
-0.0
05***
-0.0
05***
(2.9
8)
(2.8
3)
(2.4
4)
(3.0
5)
(3.1
2)
(2.6
9)
(-1.2
9)
(-2.8
7)
(-1.7
6)
(-1.6
7)
(-3.4
1)
(-2.6
0)
∆Pub%
2004
-0.0
01
-0.0
02
(-0.5
4)
(-0.7
3)
Tota
lV
ol
0.3
81***
0.3
53***
0.1
14***
0.2
98***
0.2
76***
0.0
87***
(15.2
7)
(14.3
9)
(5.2
5)
(12.3
4)
(11.2
8)
(4.6
1)
Idio
Vol
0.3
69***
0.3
39***
0.0
91***
0.3
44***
0.3
17***
0.1
06***
(14.5
5)
(13.8
0)
(4.3
7)
(13.1
7)
(12.5
4)
(5.4
8)
Siz
e-0
.002***
-0.0
02***
-0.0
03***
-0.0
02***
-0.0
02***
-0.0
04***
-0.0
02***
-0.0
02***
-0.0
03***
-0.0
03***
-0.0
03***
-0.0
04***
(-16.6
5)
(-15.3
5)
(-6.5
7)
(-21.1
1)
(-21.7
1)
(-11.2
2)
(-21.1
1)
(-19.4
2)
(-4.9
9)
(-21.1
6)
(-22.7
3)
(-8.7
3)
BM
0.0
00
0.0
00*
0.0
01***
0.0
00
0.0
00
0.0
01***
-0.0
01***
-0.0
01***
-0.0
01***
-0.0
01***
-0.0
01***
-0.0
01***
(1.3
5)
(1.7
0)
(4.7
8)
(0.9
0)
(1.2
9)
(4.3
5)
(-10.1
0)
(-6.2
1)
(-2.6
9)
(-10.2
8)
(-6.8
8)
(-4.1
3)
Beta
0.0
00
0.0
00
0.0
01***
-0.0
00
-0.0
00
0.0
01***
-0.0
01**
-0.0
01***
-0.0
01**
-0.0
01***
-0.0
02***
-0.0
01***
(1.1
4)
(0.7
8)
(4.4
2)
(-1.4
0)
(-1.3
5)
(3.5
5)
(-2.2
7)
(-2.7
4)
(-2.4
8)
(-4.2
8)
(-5.1
7)
(-4.0
9)
Lev
0.0
00***
0.0
00***
-0.0
00
0.0
00***
0.0
00***
0.0
00
0.0
00
0.0
00
-0.0
00***
0.0
00
0.0
00
-0.0
00**
(2.7
6)
(2.6
9)
(-0.1
2)
(2.9
5)
(2.8
6)
(0.1
3)
(1.1
8)
(1.0
2)
(-2.8
0)
(1.5
2)
(1.4
2)
(-2.3
9)
CF
-0.0
07***
-0.0
07***
-0.0
02***
-0.0
07***
-0.0
07***
-0.0
02***
-0.0
05***
-0.0
05***
0.0
02
-0.0
05***
-0.0
05***
0.0
02
(-15.7
6)
(-13.7
2)
(-3.3
2)
(-15.8
5)
(-13.8
2)
(-3.1
1)
(-6.6
0)
(-6.0
8)
(1.2
3)
(-6.3
9)
(-5.8
0)
(1.6
1)
Turn
over
-0.0
01
-0.0
01
0.0
00
-0.0
03**
-0.0
03**
-0.0
02
0.0
01
0.0
00
0.0
01
-0.0
03
-0.0
03
-0.0
03
(-0.3
9)
(-0.7
5)
(0.0
2)
(-2.0
9)
(-2.5
3)
(-1.3
3)
(0.2
6)
(0.0
7)
(0.1
6)
(-1.2
6)
(-1.4
8)
(-1.1
5)
BD
Spre
ad
0.2
30***
0.2
27***
0.1
99***
0.2
28***
0.2
25***
0.1
93***
0.2
59***
0.2
57***
0.2
37***
0.2
31***
0.2
29***
0.2
09***
(27.8
9)
(28.2
5)
(28.6
6)
(25.9
3)
(26.3
1)
(26.0
4)
(19.7
7)
(25.9
9)
(28.5
6)
(19.8
9)
(25.4
8)
(27.7
5)
PC
M-0
.000
-0.0
01***
-0.0
01***
-0.0
00
-0.0
00**
-0.0
01**
-0.0
01***
-0.0
01***
-0.0
02***
-0.0
01***
-0.0
01***
-0.0
02***
(-1.6
4)
(-3.2
7)
(-3.7
5)
(-1.1
9)
(-2.6
4)
(-2.3
0)
(-5.1
1)
(-7.3
9)
(-6.0
7)
(-6.3
3)
(-5.5
7)
(-4.4
6)
HP
HH
I-0
.001*
-0.0
00
-0.0
00
-0.0
01
-0.0
00
-0.0
00
-0.0
01
-0.0
01
-0.0
02*
-0.0
01
-0.0
01*
-0.0
02*
(-1.7
1)
(-0.5
1)
(-0.6
2)
(-1.4
1)
(-0.2
3)
(-0.7
7)
(-1.5
9)
(-1.6
1)
(-1.6
6)
(-1.5
8)
(-1.6
8)
(-1.8
2)
Const
ant
0.0
26***
0.0
33***
0.0
55***
0.0
34***
0.0
40***
0.0
68***
(10.1
4)
(10.5
0)
(9.3
0)
(14.4
0)
(14.0
2)
(14.0
7)
Year
FE
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
FF
48
FE
Yes
No
No
Yes
No
No
Yes
No
No
Yes
No
No
NA
ICS6
FE
No
Yes
No
No
Yes
No
No
Yes
No
No
Yes
No
Fir
mF
EN
oN
oY
es
No
No
Yes
No
No
Yes
No
No
Yes
N32515
32515
32515
32515
32515
32515
32470
32449
31849
32470
32449
31849
adj.R
20.7
12
0.7
16
0.7
59
0.7
20
0.7
24
0.7
70
t-st
ati
stic
sin
pare
nth
ese
s∗p<
0.1
0,∗∗p<
0.0
5,∗∗∗p<
0.0
1
19
Table A.8: Panel Regressions of Annual Stock Returns on Price Stickiness(dummy) and BLS Publication: July 1983-June 2013, IV Estimation
This table reports the results for the following IV estimation:
Returnit = α+ β × Stickyj + γ × Stickyj × Pub%kt + δ × Pub%kt +X ′it−1 × θ + ηk′ + ηt + εit,
i, j, k, and t denote firm, 6- and 3-digit NAICS sectors, and year, respectively. The sample is restricted
to common stocks (listed on NYSE, AMEX, and NASAQ) of firms whose headquarters are based in the
United States. Utilities and Financial sectors are excluded. Return (in percent) is the annualized stock
return calculated from July of year t to June of t+1. Stickyj is an indicator variable equal to 1 if the
frequency of price adjustment (FPA) is below the sample median, and zero otherwise. FPA is the frequency
of price adjustment at the granular sector level (see Table 1 for a detailed description). For each k as of
June of year t, Pub% is measured as the number of product indices published by BLS as a fraction of the
maximum number of products observed in that sector (see equation (3) for detailed description). HPub%
is a dummy variable that equals 1 if Pub% is above the sample median, and zero otherwise. X ′it−1 is a
set of control variables (see Table 7 for a detailed description). All the variables are winsorized at the
2.5% level. Standard errors are clustered at the 3-digit NAICS level.
(1) (2) (3) (4) (5) (6)Sticky 14.21 14.21 2.39 2.39
(0.98) (0.99) (0.38) (0.40)Sticky × Pub% -23.13 -23.13 -35.04**
(-1.23) (-1.23) (-2.55)Sticky × HPub% -8.92 -8.92 -16.47**
(-1.07) (-1.08) (-2.43)Pub% 41.12 41.12 11.04
(1.40) (1.46) (0.48)HPub% 22.12 22.12 5.69
(1.48) (1.59) (0.42)∆ Pub%2004 -32.09*** -32.09*** -33.42*** -33.42***
(-2.66) (-2.65) (-2.82) (-2.62)Size -1.24 -1.24 -0.79 -1.20 -1.20 -0.81
(-1.51) (-1.49) (-0.88) (-1.46) (-1.44) (-0.91)BM 6.07*** 6.07*** 7.77*** 6.27*** 6.27*** 7.73***
(3.04) (3.14) (4.78) (3.27) (3.33) (4.87)β 4.15* 4.15* 2.76* 4.02* 4.02* 2.81*
(1.94) (1.83) (1.77) (1.80) (1.71) (1.74)Lev -1.59 -1.59 -0.37 -1.61 -1.61 -0.37
(-1.43) (-1.48) (-0.42) (-1.44) (-1.50) (-0.42)CF 13.72 13.72 27.14*** 13.98 13.98 27.44***
(1.38) (1.29) (3.18) (1.37) (1.28) (3.28)Turnover -8.98 -8.98 -25.16*** -9.36 -9.36 -24.99***
(-1.05) (-1.14) (-3.07) (-1.09) (-1.22) (-3.02)BD Spread 88.48 88.48 53.95 90.21 90.21 53.59
(1.48) (1.36) (0.89) (1.51) (1.38) (0.88)PCM 3.34 3.34 -5.14 3.02 3.02 -5.21
(0.40) (0.36) (-0.77) (0.35) (0.32) (-0.78)HHI -70.22 -70.22 21.93 -74.95 -74.95 30.43
(-1.27) (-1.21) (0.42) (-1.37) (-1.33) (0.59)Year FE Yes Yes Yes Yes Yes YesFF48 FE No Yes No No Yes NoNAICS6 FE No No Yes No No YesN 70,264 70,264 70,256 70,264 70,264 70,256R2 0.02 0.02 0.02 0.02 0.02 0.02
t-statistics in parentheses∗p < 0.10, ∗ ∗ p < 0.05, ∗ ∗ ∗p < 0.01
20