Schantl Dissertation FINAL - unipub.uni-graz.at
Transcript of Schantl Dissertation FINAL - unipub.uni-graz.at
Stefan Schantl
The determinants of the firm coverage and
earnings forecasting behavior of sell-side equity
analysts
Doctoral Thesis
to be awarded the degree of
Doctor of Social and Economic Sciences (Dr. rer.soc.oec.)
at the University of Graz, Austria
Name of first supervisor
Institute of Accounting and Auditing, Prof. Dr. Ralf Ewert
Name of second supervisor
Institute of Accounting and Control, Prof. Dr. Dr.h.c Alfred
Wagenhofer
Graz, April 30, 2014
Author´s Declaration
Unless otherwise indicated in the text or references, or acknowledged above, this thesis is
entirely the product of my own scholarly work. Any inaccuracies of fact or faults in reasoning
are my own and accordingly I take full responsibility. This thesis has not been submitted
either in whole or part, for a degree at this or any other university or institution. This is to
certify that the printed version is equivalent to the submitted electronic one.
g
Graz, April 30, 2014 (Stefan Schantl)
Acknowledgements
I am deeply indebted to my dissertation advisors Ralf Ewert and Alfred Wagenhofer for
introducing me to theoretical accounting research and for their unremitting support during my
endeavors exploring this, for me, new point of view. The numerous cutting edge lectures they
gave throughout the past years as well as their encouraging and constructive feedback on my
ongoing projects inspired (or better incentivized) me to continuously work on my economic
understanding and further my technical skills.
Special thanks go to Paul Fischer, who generously volunteered to be a doctoral thesis
committee member as well as Mirko Heinle and Ro Verrecchia for their perpetual coaching
during and after my stay at the University of Pennsylvania. I explored previously unimagined
perspectives about the economics behind accounting through the discussions with them.
Further, I very much enjoyed the interesting workshops and eye-opening discussions with
Brian Bushee, Chris Ittner, Wayne Guay, Luzi Hail, Thomas Hemmer, Bob Holthausen, Rick
Lambert, Wayne Landsman, and Cathy Schrand.
I moreover want to thank my fellow doctoral students Kristina Berger, Terrence Blackburne,
Anna Boisits, Björn Brand, Michael Carniol, Jacky Chau, Mike Chin, Marina Ebner, Thomas
Gaber, Christian Gross, Jessica Kim-Gina, Brigitte Klotz, Peter Krenn, Sebastian
Kronenberger, Sandra Kukec, Beatrice Michaeli, Konrad Lang, Tanja Sestanj Peric, Spencer
Pierce, Olivers Schinnerl, David Tsui, Dennis Völler, Katrin Weiskirchner-Merten, David
Windisch, Jason Xiao, and Hang Yu for their continuous help throughout my doctoral
studies, for helpful comments on my work and for fruitful and lively discussions and debates.
Financial support from the Doctoral Program in Accounting, Reporting, and Taxation
(DART) funded by the FWF Austrian Science Fund, from the Social and Economic Faculty
of the University of Graz, and from the Austrian state of Styria is much appreciated.
Last but not least I want to thank my parents Inge and Hubert and my friends Carsten,
Dominik, Eva, Florian, and Gernot for their incessant support which was crucial for the
completion of this thesis.
Thank you!
I
Table of Contents
1. Introduction 1
1.1. Methodology 2
1.2. Literature Review 2
1.2.1. The Determinants of Analyst Forecast Properties 4
Analyst Reputation and Accuracy 4
Trading Volume Generation and Overoptimism 5
Career Concerns and Herding 7
Investors’ and Employers’ Inference of Analysts’ Abilities 10
Analysts’ Endowment with Private vs. Public Fundamental Information 11
The Relevance of Non-Fundamental Information 14
1.2.2. The Causes and Consequences of Analyst Coverage Behavior 15
Analyst Information Acquisition Costs and Coverage Initiation 15
Consequences of Changes in Analyst Following 18
1.3. Contribution 20
1.3.1. Analysts’ Career Concerns, Forecast Biasing and Firm Coverage Selection 20
1.3.2. Analyst Information Acquisition and the Informativeness of Forecasts and
Managed Earnings 21
1.3.3. Discretionary Analyst Coverage and Capital Market Characteristics 21
1.4. Structure of the Dissertation 22
2. Analysts’ Career Concerns, Forecast Biasing and Firm Coverage Selection 23
2.1. Introduction 24
2.2. Economic Setting 27
2.3. Model Solution and Equilibrium 31
2.3.1. Analysts’ Forecasting Strategy in the Monopoly Case 31
2.3.2. Analysts’ Forecasting Strategy in the Duopoly Case 32
2.3.3. The Coverage Initiation Threshold 34
II
2.4. Analysts’ Career Concerns and Firm Coverage Selection 36
2.5. Empirical Implications 40
2.6. Conclusion 41
Appendix (Paper 1) 42
Proof of Proposition 1 42
Proof of Corollary 3 45
Proof of Corollary 4 46
Proof of Corollary 5 47
3. Analyst Information Acquisition and the Informativeness of Forecasts and Managed
Earnings 48
3.1. Introduction 49
3.2. Economic Setting 51
3.3. Model Solution and Equilibrium 53
3.4. Analyst Information Acquisition and the Informativeness of Managed Earnings 54
3.5. Conclusion 58
Appendix (Paper 2) 59
Proof of Proposition 1 59
Proof of Corollary 1 60
Proof of Corollary 2 61
4. Discretionary Analyst Coverage and Capital Market Characteristics 62
4.1. Introduction 63
4.2. Economic Setting 66
4.3. Model Solution and Equilibrium 71
4.4. Discretionary Analyst Coverage and Capital Market Characteristics 73
4.5. Extension: Discretionary Analyst Coverage and Market Liquidity 77
4.6. Conclusion 79
Appendix (Paper 3) 80
III
Proof of Proposition 1 80
Proof of Corollary 1 81
Proof of Corollary 2 82
Proof of Corollary 3 83
Proof of Proposition 2 83
Proof of Corollary 4 85
5. Discussion and Conclusion 87
Bibliography 91
Table of Figures
Figure 1: Prototypical Sequence of Decisions of an Equity Analyst 3
Figure 2: Sequence of Events (Paper 1) 28
Figure 3: Sequence of Events (Paper 2) 51
Figure 4: Sequence of Events (Paper 3) 67
Introduction
1
1. Introduction
Sell-side equity analysts are one of the primary information sources for stakeholders in
modern capital markets. Numerous empirical studies claim that reports, especially earnings
forecasts, provided by analysts are informative about the value of a firm (e.g., Givoly &
Lakonishok 1979, Lys & Sohn 1990, Frankel et al. 2006).1 By means of a time-series
regression on the decomposition of cumulative abnormal returns, Beyer et al. (2010) provide
evidence that almost one quarter of the financial information about a firm is disseminated by
equity analysts. Additionally, there is evidence showing that analysts not only provide new
information but also reiterate and reinterpret previously disclosed firm information (e.g.,
Asquith et al. 2005, Chen et al. 2010).2 This interpretation function also seems to matter for
shareholders: analysts who are more responsive to the information in an earnings
announcement and revise their forecasts shortly after the earnings disclosure help to reduce
the post-earnings announcement drift effect (Zhang 2008). Ayers & Freeman (2003), Gleason
& Lee (2003) and Piotroski & Roulstone (2004) present results showing that this effect is
triggered with a larger analyst following since this generally increases the pace of the pricing
process with respect to future earnings of a stock. Chang et al. (2006) and Bowen et al.
(2008) present evidence consistent with the argument that firms with greater analyst coverage
receive better financing contracts. Closely associated with the latter observation is the
evidence of Rajan & Servaes (1997) and James & Karceski (2006), who show that a larger
analyst following yields a more successful initial public offering. Additionally, Alfond &
Berger (1999) and Roulstone (2003) show that a larger analyst following yields an increased
liquidity of a firm’s stock. Altogether, it can be concluded that these empirical observations
yield a lowered cost of equity capital associated with larger analyst following. Furthermore,
firms seem to be aware of the benefits associated with analyst firm coverage since they are
even willing to pay for analyst services (Kirk 2011). It follows that the significance of
analysts in their different roles as information sources and information interpreters cannot be
overemphasized. However, besides the large attention of empiricists over the past twenty
years, the answer to the following question is yet to be found: What determines both analysts’
1 However, there is conflicting evidence on the informativeness of stock recommendations issued by sell-side
security analysts (e.g., Barber et al. 2001, Jegadeesh et al. 2004, Howe et al. 2009). Moreover, the information
role is not constant over time but depends crucially on the timing relative to firm disclosures (Francis et al.
2002, Ivkovic & Jegadeesh 2004, Chen et al. 2010). 2 The importance of information interpretation issues is pointed out by the theoretical contribution of Dutta &
Trueman (2002). They show that the assumption of an uncertain information interpretations leads to a non-
trivial voluntary disclosure strategy.
Introduction
2
forecasting and coverage behavior and how are observable patterns in their decisions
reconcilable to these incentives?
1.1. Methodology
Although the properties of financial analysts’ information as well as the consequences of
their work are empirically well-investigated, theoretical contributions that provide empirical
implications on the sources and consequences of analysts’ distinct incentives are still scarce.
The current cumulative doctoral thesis aims to fill some significant gaps in the theoretical
literature on analyst incentives and provides a number of novel empirical implications.
The advantages of the application of microeconomic models to increase our understanding of
the key determinants of analyst behavior compared to the widely used empirical method are
manifold. First and most importantly, it can be stated that the data availability on analysts’
behavior is still mediocre. This especially holds true for data on the decision of an analyst to
initiate or abandon firm coverage. A second advantage can be found with respect to potential
endogeneity issues which are inevitable with the use of empirical methods: As will be clear
throughout the dissertation, the interactions of analysts with others such as peer analysts,
investors or firm managers are determined by multiple, particularly complex relations and
economic forces. Theoretical models on the other hand enable us to isolate these forces and
ensure a pure analysis of the economics behind the interactions of analysts with other
economic agents.
1.2. Literature Review
In this chapter I provide a brief literature review of existing theoretical and empirical research
on analysts’ forecasting and firm coverage decisions.3 Kothari (2001), Ramnath et al. (2008)
and Beyer et al. (2010) also provide reviews on analyst research, but Kothari (2001)
exclusively summarizes the empirical research, whereas Beyer et al. (2010) impose a
structure which divides theoretical research from empirical evidence. Moreover, Ramnath et
al. (2008) provide only an incomplete discussion of theoretical research on the topic. In
contrast, the approach applied herein involves imposing a topical structure rather than a
methodological one. This approach enables me to reconcile theory and empirical evidence in
my discussion of the literature. Since the main chapters of this doctoral thesis apply formal
3 The focus of this thesis is on analyst forecasting and firm coverage. Consequently, it excludes other reports of
analysts such as price targets or stock recommendations.
Introduction
3
Analyst gathers
information for the
forecasting of
subsequent earnings
Analyst discloses
earnings forecast
Analyst manipulates
private information
signal and formulates
earnings forecast
Analyst observes
private information
signal and decides
whether to release it
Analyst decides
whether to start
collecting information
about a firm
Coverage Initiation Stage (Chapter 1.2.2.)
Forecast Reporting Stage (Chapter 1.2.1.)
t=1 t=2 t=3 t=4 t=5
theoretical modeling, this approach has the advantage of identifying several research issues of
high relevance that need further theoretical guidance.4
In order to add more structure to the literature review, Figure 1 depicts the prototypical
process of an analyst’s decisions.5 First, the analyst decides on whether to start collecting
information, which is subsequently carried out if this optimizes ex-ante his utility.6 After the
information acquisition comes the discretionary reporting stage ( ), in which the analyst
evaluates whether the disclosure of the obtained private information is beneficial for him.
This may happen in conjunction with the action in stage ( ), in which he decides on an
appropriate level of manipulation to complete the formulation of his forecast. In the last stage
he discloses his forecast to his clients.7
The literature review is structured in an inverse fashion and starts with the discussion of a
codetermination of analyst forecasts’ properties by distinct influential factors (i.e., particular
incentives, information endowment). In a second chapter the focus lies on the state of
research concerning analysts’ firm coverage initiation (or abandonment of coverage)
behavior. In addition, in the latter section a summary of the consequences of analyst firm
coverage for the firm is presented in order to provide a sufficiently broad perspective on the
current state of the art of the economic research on analysts.8
4 It shall be noted that for practical reasons the review will not be able to summarize all available contributions
on the topic. Instead, I focus on the most important contributions in the field, whereby the selection is naturally
driven by the author’s subjectivity. 5 For the sake of the readability of the dissertation I use male pronouns to refer to an individual equity analyst or
other stakeholders, although these are interchangeable with pronouns in the female form without any limitations. 6 In this stage he may use some proprietary information on which to base his decision (e.g., see Hayes 1998,
Fischer & Stocken 2010). 7 In further stages the analyst may obtain additional information and may decide whether or not to disclose a
revised version of his forecast. However, this decision can be seen as a repetition of all actions between
and . 8 The reason for the inverse structure is that the drivers behind analyst forecast properties are much better
investigated than those behind coverage initiation or abandonment. Thus, this approach gives the reader a much
better overview over the distinct factors that are influential in analysts’ decisions and enables me to highlight
gaps in the coverage literature.
Figure 1: Prototypical Sequence of Decisions of an Equity Analyst
Introduction
4
1.2.1. The Determinants of Analyst Forecast Properties
Analysts have a variety of objectives that they follow to optimize their overall utility.
However, I identify and subsequently discuss the following factors, which influence the
behavior of analysts with respect to their forecasting strategies: (i) analyst reputation and
accuracy, (ii) the trading volume generation objective and overoptimism, (iii) career concerns
and herding, (iv) investors’ and employers’ inference of analysts’ abilities, and analysts’
endowment with (v) fundamental and (vi) non-fundamental information.
Analyst Reputation and Accuracy
Reputation is assumed to be one of the main driving forces behind analysts’ behavior, which
is the reason why almost all of the discussed models incorporate it in their structure in one
way or another (e.g., Lim 2001, Beyer 2008, Beyer & Guttman 2011). Several empirical
studies proxy reputational concerns by the use of forecast accuracy, which is measured by the
ex-post absolute forecast error. This perspective is established by Stickel (1992), who shows
that members of the Institutional Investor All-American Research Team, a group of analysts
considered to be superior and who thus possess a very good reputation, deliver more accurate
earnings forecasts than non-members of this group.9 Additionally, he also documents a more
pronounced stock market reaction to All-American analyst forecasts.10
In line with the research of Stickel (1992), the reputation incentive is usually theoretically
modeled by assuming that an analyst minimizes either the expected quadratic (Lim 2001) or
absolute forecast error (Beyer 2008).11
Lim (2001) develops a model in which an analyst
chooses the bias of his earnings forecast. He shows that the forecast distortion is positive and
decreases with the predictability of earnings, which he subsequently confirms with an
archival analysis. Beyer (2008) establishes a framework that considers the endogeneity issue
involved in this process: According to existing evidence, managers manipulate earnings such
that the previously published forecast is met or bet. This is rewarded with a market premium
9 Stickel (1992) reasons that there may be a positive relationship between compensation and forecasting
performance under the assumption that All-Star recognition is associated with higher compensation. This
hypothesis is confirmed by Groysberg et al. (2011) by means of internal brokerage house data. 10
Another well-known pattern associated with forecasting accuracy is consistent with experience learning:
Analysts’ forecasting performance measured by ex-post absolute forecast errors increases over time. Notable
empirical contributions in this field of research are Mikhail et al. (1997, 2003), Clement (1999), Jacob et al.
(1999) and Clement et al. (2007). 11
In the absence of other objectives (e.g., the stimulation of trading), these two functions yield the same
solution. However, Basu & Markov (2004) provide empirical evidence pointing to a higher appropriateness of
the absolute rather than the quadratic forecast error loss function, which indicates that other objectives are also
relevant for the forecasting behavior of an equity analyst.
Introduction
5
(Kasznik & McNichols 2002, Matsumoto 2002, Bhojraj et al. 2009).12
However, the model’s
results indicate that a privately informed analyst positively exaggerates his prediction for
most of the possible realizations of reported earnings.
Further, the results provided by Groysberg et al. (2011) together with the ones of Louis et al.
(2013) are consistent with the argument that forecast accuracy is a criterion for the research
house’s interior performance evaluation of an analyst rather than a measure of his reputation
with his clients. Louis et al. (2013) highlight the difference of forecast accuracy and forecast
informativeness in the presence of earnings and earnings guidance management by the firm.
They show that analysts sometimes side with their clients (shareholders) rather than with the
followed firm’s management and that the provision of informative forecasts, which may
predict natural rather than reported earnings, can encourage trading in the stock. This aspect
may be connected to analysts’ trading volume generation objective and the nomination to
equity analyst rankings such as the Institutional Investor All-Star ranking: Analysts providing
information which earns their clients an abnormal rate of return are nominated to be included
in the ranking by these investors. In finance theory, abnormal returns are generated by
underlying investment decisions, where these are based on private information such as the
information that is provided by analysts. Groysberg et al. (2011) provide evidence that
analysts are better compensated if they are recognized to be superior and also if they
stimulate trading.
Trading Volume Generation and Overoptimism
By means of a unique dataset, Groysberg et al. (2011) ascertain that an influential factor for
analysts’ compensation is the amount of trading stimulated with reports on a covered stock
and thus brokerage profits for the investment banking branch of an affiliated analyst. Jackson
(2005) and Beyer & Guttman (2011) provide in-depth theoretical guidance on the issue of
analyst forecasting behavior incentivized by the objective of trading volume generation.13
Jackson (2005) considers a setting in which an analyst trades off the long term incentive to
build a reputation with the short term objective to generate trading volume. His theory
suggests that forecast overoptimism is a result of investors’ uncertainties regarding the type
of the analyst and the existence of short-selling constraints, even if trading commissioning
objectives are restricted to a very low level. He also confirms this with archival evidence.
12
This situation is even exacerbated when pre-forecast firm earnings guidance is present. 13
Another representative of this field of literature is Hayes (1998). However, this paper focuses more on the
relevance of trading volume for the analysts’ information acquisition strategy (see Chapter 1.2.2.).
Introduction
6
Jackson’s (2005) framework considers analysts’ reporting strategies with a high level of
abstraction on the side of the market. Beyer & Guttman (2011) overcome this shortage by
integrating an analyst’s reporting decision with the market model of Grossman & Stiglitz
(1980). The tradeoff of the analyst’s incentives is incurred from Jackson (2005): Every
investor who receives the analyst forecast adjusts his position in the stock. The change in the
market price is also informative to the other investors who do not directly observe the
forecast. Thus, the analyst forecast is private information and causes information asymmetry
across investors. Beyer & Guttman (2011) provide a variety of implications. First, they show
that the (dynamic) forecast bias is an increasing function in the analyst’s private information
and that the bias is within a finite interval. Second, the analyst is, on average, more likely to
bias his forecast upward than downward, which is a direct result of investors’ risk aversion
and the residual uncertainty they have to incur for their investment in the firm. A last
implication is that an analyst with a high level of private information endowment
(represented by a highly precise private estimation signal over earnings in the model) does
not necessarily disclose a more accurate forecast because he knows that he will have a
relatively high impact on the trading in equilibrium, which incentivizes him to deviate more
from a truthful revelation strategy. This partly opposes the common belief that more private
information is necessarily associated with a more accurate forecast.
The empirical side of trading volume incentives of brokerage house affiliated analysts
provides mixed evidence on analysts’ overoptimism bias. Dugar & Nathan’s (1995) results
are such that affiliated analysts are more optimistic in their forecasting than non-affiliated
analysts. Additionally, they seem to not provide more informative forecasts and are, on
average, as accurate as their non-affiliation counterparties. In contrast, Frankel et al. (2006)
claim that analyst forecast informativeness increases with potential brokerage profits, which
partly contradicts the findings of Beyer & Guttman (2011). Additionally, Cowen et al. (2006)
provide evidence showing that analysts affiliated with investment banks that perform a firm’s
underwriting have a lower level of overoptimism in their forecasts than analysts who are
funded by a non-underwriter brokerage house. Thus, the effect is partly counter to the
discussed theoretical studies, which assume that analysts have an interest in stimulating
trading because of their underwriter affiliation. However, even Cowen et al. (2006, 119)
conclude that “optimism is at least partially driven by trading incentives”.
Introduction
7
Career Concerns and Herding
Equity analysts exhibit reputational or career concerns and, as will be clear in this subchapter,
their (relative) ability and performance is an important factor behind this objective. There
exists a solid theoretical base with a number of signaling models on the association of
analysts’ reputational concerns and their attempts to communicate their ability to clients or
employers by means of forecasting strategies which show patterns consistent with herding.
Scharfstein & Stein (1990) develop a theoretical model on the sequential investment
decisions of managers who are concerned about their labor market reputation. In their model
two groups of managers exist (but cannot be distinguished a priori by the labor market), a
good group with a high level and a bad group with a poor level of ability. The ability of each
type is modeled such that the good ones obtain an imperfectly informative signal about a
future state of nature determining the success of a project, whereas the bad type observes a
purely random signal without any information content. Scharfstein & Stein (1990) provide
results showing that good managers want to communicate their type by means of an unbiased
investment decision, whereas bad managers partially mimic the behavior of a good type (i.e.,
they herd in their investment decision) in order to receive a better reputation as if they would
communicate their type based on their (weak) information. The labor market, which
determines the reputation, infers two distinct pieces of information from the observation of an
investment decision, namely whether the investment decision yields a profitable or
unprofitable outcome and whether the behavior of managers is similar to that of others. They
argue that these are two separate pieces of information because a bad decision is not
considered to be a very bad signal over a manager’s ability if the other manager made the
same decision. However, the observation of a profitable decision is of large reputational
value if the peer manager made a contrary one. Graham (1999) adopts Scharfstein & Stein‘s
(1990) model and reinterprets it based on an analyst setting to include pre-existing public
information about the prediction of an uncertain future state in the game. He provides
theoretical implications and consistent evidence that if the public information conflicts with
the private information of a bad analyst, he is more likely to herd because he suspects his
private information to be wrong. This association is mitigated in situations when he has a
high initial reputation and a low real ability. Trueman (1994) develops a signaling structure in
which both types again want to signal a high ability to influence their reputational standing
with their clients and their employers. He shows that there is a general tendency to issue a
forecast that overweighs the prior expectations and/or other publicly available information
and underweights the analyst’s private information. In sum, it can be concluded that the
Introduction
8
information disclosure policy of analysts (or managers) is also shaped by their incentive to
communicate their ability, which ultimately yields a pattern consistent with an overweighing
of prior expectations relative to private information, i.e., herding on priors.
Clarke & Subramanian (2006) develop a theoretical Bayesian learning framework with
multiple periods and analysts. They highlight the importance of prior forecasting performance
for the assessment of analysts’ employment risk, and they consider three types of analysts,
good, bad and intermediate ones: Under- and over-performing analysts rather than
intermediate analysts issue bolder forecasts to manage their employment risk. This is because
high ability analysts will not be fired anyway due to their superiority, which means that they
put more weight on their private signal and are thus bolder than the intermediate analysts. In
contrast, low ability analysts also have an incentive to be bolder than their intermediate
counterparties because with a bold forecasting strategy they introduce noise, which makes it
harder for their employers to evaluate their abilities (i.e., partially pooling with high ability
analysts). Clarke & Subramanian’s (2006) theory of a non-monotonic association between
ability and forecasting policy, which in turn dynamically influences career concerns through
the assessment of the employment risk over time, is further supported by their empirical
investigation.
Existing empirical evidence emphasizes the association between relative performance and
analyst career outcomes, where the former is usually proxied by the relative magnitude of the
ex-post absolute forecast error. Mikhail et al. (1999) investigate the association between
forecast accuracy and the likelihood of analyst turnover, and provide evidence that increases
of absolute forecast accuracy are not associated with a larger probability of termination of
employment. However, they show that analysts which are less accurate than their peers have
a significantly higher risk of being fired, which establishes the claim that career concerns are
associated with the ex-post forecasting performance of an analyst relative to his peer(s). Hong
& Kubik (2003) also study the influence of analyst career concerns on the properties of their
forecasts and present the result that relatively less accurate forecasters are generally less
likely to move up the career ladder, which is in line with the findings of Mikhail et al. (1999).
In addition, they also highlight the fact that analysts who are overly optimistic in their
Introduction
9
forecasts are promoted more frequently after controlling for the already mentioned primary
effect. This is especially the case if they work for the underwriter of the stock.14
Based on the observation that relatively less accurate forecasters have to bear a significantly
larger employment risk, Hong et al. (2000) and Clement & Tse (2005) argue that the
knowledge about this association establishes an incentive for analysts to optimize this
association in expectation, i.e., a pattern that is in line with herding behavior. Further, they
perform studies on the variations of the association between relative forecasting performance
and career risk with the field experience of an analyst. They show that relatively
inexperienced analysts exhibit a higher tendency to bias their forecast in the direction of the
(expected) mean forecast than their more experienced counterparties.15
Thus, it can be
concluded that the group of analysts who have an especially high employment risk tend to
exhibit herding strategies in their forecasts in order to manage this risk.
Based on these empirical observations and the existing theoretical guidance, the following
argument can be established: Analysts who are relatively less accurate in their forecasts of a
firm’s earnings than their peers are punished with a less favorable career outcome (i.e., a
higher risk of termination). This association establishes an implicit incentive of an individual
analyst to choose the forecasting strategy such that the anticipated difference between one’s
own forecast error and the average peer forecast error is minimized. It is straightforward to
assume that all analysts exhibit career concerns. Thus, the relative performance objective is
bi- or multilateral and effectively yields an underreaction of an analyst to his own private
information and an overweighing of the prior expectations with respect to earnings.16
Moreover, this implicit incentive is strongest for those who can lose most from a termination
of employment, namely analysts who are at the beginning of their careers.17
14
Based on the results of the study of Clarke et al. (2007), it can be noted that analyst job changes do not seem
to alter their forecasting behavior. Thus, the summarized incentive seems to be unaltered even if analysts start in
a new workplace. It follows that career concerns do not depend on a career within only one research department. 15
An additional result provided by Clement & Tse (2005) is that bold forecasts are on average more accurate
than herding forecasts. 16
This claim is easily proven by means of a standard noisy rational expectations equilibrium model with two
forecasters obtaining independent private information signals to forecast earnings based on the objective of
relative performance. This model is available upon request from the author. 17
It shall be noted that other information-based reasons may exist for analysts to herd in their forecasts. For
example, Welch (2000) explores the situation of sequential release of stock recommendations by analysts. He
points out a positive association between an early recommendation of an analyst and the later recommendation
of other analysts. It shall be noted that herding, according to Welch (2000), is information based and determined
by the sequence of forecast releases rather than driven by analysts’ incentives. See Chapter 1.2.2. for further
discussion.
Introduction
10
Investors’ and Employers’ Inference of Analysts’ Abilities
In the previous chapter, I summarized theory and evidence on the relevance of career
concerns for analyst forecasting behavior. A related research topic is the literature on the
inference effort of the abilities of analysts performed by their employers and clients. Thus, I
consider the other side of the communication process than in the previous subchapter, namely
that of the recipients.
Theoretical research is provided by Gerardi & Yariv (2008) that utilizes an agency setting
with multiple experts as agents and one decision maker as the principal. The objectives of the
experts include not only the costly acquisition of expertise but also the effort to utilize the
gained expertise for the purpose of a profitability evaluation of a risky project to help the
principal with his investment decision.18
The decision variables of the principal are the
number of contracted experts and the weighting (and/or recognition) of their
recommendations. The model provides the result that the principal hires only at most two
experts and sometimes even decides not to follow their recommendations. If two experts are
selected, the principal wishes to choose the ones who have the most extreme preferences
relative to himself because this eases the weighing of recommendations. However, he may
also choose to sometimes ignore the recommendations provided by the experts. Moreover,
the experts consider this preference dependence in their expertise acquisition strategies.
The empirical literature generally focuses more on the client’s side of this interaction.
However, the results are also partly applicable to the employer’s communication process with
the analyst. It is shown by archival studies that superior analysts are considered to deliver
more informative forecasts, which is why investors react more strongly to them compared to
inferior analysts (e.g., Park & Stice 2000).19
Clement & Tse (2003) build on this viewpoint
and test whether investors would only focus on the accuracy of an analyst’s forecast revision
to assess his abilities. They generate results showing that investors react more strongly to
analysts who are associated with larger brokerage houses and forecasts that are released in the
first half of a fiscal year. Building on the assumption that analysts with a higher ability are
more likely to be employed by the well-funded research departments of larger investment
banks (e.g., Groysberg et al. 2011), it can be reasoned that the affiliation is a criterion for the
assessment of an analyst’s abilities. In an attempt to reconcile their results with prior
research, Chen et al. (2005) develop a simple model on the inference problem of investors
18
The latter objective of the experts contains a notion of career concerns. 19
Cox & Kleiman (2000) provide evidence that All-American analysts have superior skills rather than luck.
Introduction
11
with respect to the ability of an analyst. They provide theoretical and empirically confirmed
results showing that the more forecasting periods already occurred, the more information
investors receive not only about fundamentals but also about the analyst’s ability. This in turn
shapes their pricing behavior such that they place a larger weight on a forecast if the analyst
is “proven” to be accurate over a longer duration.20
The evidence presented in this subsection has an important link to the career concerns
literature discussed above: If an analyst is ignored by his clients due to a lack of accuracy
over a long period, the employer may interpret this as a lack of ability and may decide to
terminate his employment. Thus, the provocation of a market reaction represents another
facet of analyst career concerns.
Analysts’ Endowment with Private vs. Public Fundamental Information
In the previous chapters I already discussed several theoretical papers. Almost all of them,
except Graham (1999), assume a strictly private fundamental information endowment of
analysts, where the observed information may or may not be of value for the forecast
recipients. The relative contribution of public and private fundamental information for the
forecasting of earnings is the main point of this part of the literature discussion. Moreover, it
can be noted that the theoretical side of this branch of literature has a strong focus on the
reconciliation of individual forecast properties with more abstract properties such as the mean
consensus forecast (error) or forecast dispersion, since both constructs are frequently used in
empirical research, i.e., to proxy for earnings expectations (e.g., O’Brien 1988).
In an extension of the theoretical work of Kim & Verrecchia (1991) on patterns in price
variability and expected trading volume, Abarbanell et al. (1995) introduce analyst forecasts
as a source of private information of investors. The forecasts follow an exogenously
predetermined structure and include a common estimation error term and an analyst-specific
estimation error term. The former captures the public information component, whereas the
latter establish differential private informedness of analysts and investors. They show that
analyst forecasts are, at best, a noisy measure of investor’s differential beliefs and that the
relative forecasting properties (i.e., consensus among analysts) are influential in the reactions
of the market to forecasts.21
In particular, both expected trading volume and the variance of
20
Bonner et al. (2007) show that not only past performance or the length of the track record or affiliation can
influence the perceived informativeness of analyst forecasts, but also the sophistication of investors. Moreover,
media coverage of so called “celebrity analysts” also mitigates the effect of a lack of sophistication of investors
on the pricing of a forecast. 21
For a related investigation on consensus vs. informedness, see Holthausen & Verrecchia (1990).
Introduction
12
the price change are shown to increase in forecast dispersion. Abarbanell et al. (1995) is
closely associated with the theoretical investigation of Barron et al. (1998). They go a step
further and disentangle analyst forecast properties from analysts’ information environment.
They utilize the facts that consensus forecast error and forecast dispersion are differentially
influenced by the idiosyncratic and systematic estimation errors in analysts’ private
information signals: “[T]he expected dispersion in forecasts is an increasing function of
uncertainty but a decreasing function of consensus [among analysts], while the expected
squared error in the mean forecast is an increasing function of both uncertainty and
consensus.” (Barron et al. 1998, 422) Based on these properties, the empirical investigation
by Barron et al. (2002) yields unique estimates of the weighing of private and public
information. Their empirical study concludes that the idiosyncratic component increases in its
relative magnitude to the systematic component after the release of an earnings
announcement, which is reconcilable to prior theories on the existence of event-period private
information such as that of Kim & Verrecchia (1997). Further, Kim et al. (2001) develop a
parsimonious model with a finite number of non-strategic analysts and point out that the
mean consensus forecast inefficiently summarizes all of the available information and
overweighs public information relative to analysts’ private information.
Further, the discussed theories are not very explicit about which pieces of information are
summarized under the term “public information”. Several empirical and theoretical studies
investigate analysts’ processing of different sources of public information. Their results can
be summarized as follows:22
· Information impounded in prior stock price changes: As is commonly believed by
accounting and finance scholars, investors impound their private information into
market prices through their trading activities, which generates noisy public
information. Thus, there is considerable information in stock price changes, which can
be inferred by analysts. However, analysts seem to underreact to the information in
these stock returns (Lys & Sohn 1990, Abarbanell 1991), where analysts’ information
extraction ability may mitigate this underreaction (Elgers & Lo 1994).23
Recently,
Clement et al. (2011) provide evidence supporting the argument that the ability to
extract information from stock returns may be a distinct feature of analyst expertise.
22
Furthermore, the recent empirical literature uses components of public information to predict analyst forecast
errors in order to improve their estimates for further purposes such as in investigations of the implied cost of
capital or trading strategy developments (i.e., Hughes et al. 2008, Mohanram & Gode 2013, So 2013). 23
See Chapter 1.2.1. for a discussion of analyst experience.
Introduction
13
· Previously released peer forecasts: In an early and well-known study Stickel (1990)
shows that analysts also use information from previously released peer forecasts, i.e.,
from forecasts of other analysts that also follow the same firm.
· Earnings guidance and other voluntary firm information: A special tension exists
between the provisions of (potentially biased) earnings guidance, the (strategically
chosen) analyst forecast as a proxy for the earnings expectation and (potentially
managed) earnings. In particular, a manager with an interest in the end-of-period
share price may want to first guide expectations downward in order to make the
subsequently disclosed forecast easier to beat with annual earnings (Baginski &
Hassell 1990).24
Versano & Trueman (2013) develop a theoretical model to give some
guidance on this association. They show that only privately but not publicly disclosed
earnings guidance would be chosen to guide analyst expectations downward. Contrary
to Versano & Trueman (2013), empirical evidence shows significant results in support
of the use of public earnings guidance to guide forecasts (a proxy for earnings
expectations) downward (Cotter et al. 2006). Such an interconnectedness of disclosure
may even be beneficial from the analyst’s perspective because it stimulates trading in
the window between the earnings guidance disclosure and the earnings announcement
(Feng & McVay 2010). With respect to the informativeness of earnings guidance,
Lang & Lundholm (1996) show that more informative firm disclosure policies are
associated with more accurate earnings predictions. In line with this result, Chen et al.
(2011) document the fact that firms which commit to stopping the disclosure of
earnings guidance are followed by less accurate analysts. Moreover, Hilary & Shen
(2013) argue that the ability to extract information from management earnings
guidance is also a distinct feature of analyst expertise.
Another issue, which is relevant in a discussion on analysts’ use of public relative to private
information, is analysts’ aggregation of these two types of information. Several studies argue
that analysts would underreact to the available public information and would thus overreact
to their privately obtained information (e.g., Mikhail et al. 2003, Zhang 2008). In a more
recent, jointly theoretical and empirical investigation, Chen & Jiang (2006) establish the
claim of an overweighting or underweighting of private information relative to public
information depending on the influence of other incentives on an analyst’s forecasting
24
The consequences of a setting in which an analyst predicts (potentially) managed earnings are discussed by
Beyer (2008), as summarized already in Chapter 1.2.1. Her economic framework assumes that managers may
want to meet or beat analyst forecasts.
Introduction
14
strategy. In particular, they present data showing that the weighting distribution is skewed
towards positive forecasts relative to the consensus forecast, where the level of skewness
depends on the realization of an analyst’s private information: In more favorable forecasts
private information is overweighted, whereas in less favorable forecasts it is underweighted.
On average this yields an overweighting pattern. They conclude that the strategic incentives
(discussed in Chapter 1.2.1.) are of great relevance for the observable properties of forecasts.
Moreover, their results, which are obtained by means of a probability-based method that is
considered to be statistically very robust, confirms the findings of the underreaction
hypothesis of available public information, i.e., an information-based herding pattern similar
to the one reasoned by Welch (2000).
The Relevance of Non-Fundamental Information
Existing theories argue that the endowment with fundamental information is not the only
possible information which may be relevant for analysts’ behavior. So far, the literature has
assumed the existence of fundamental information about the followed firm such as firm value
and/or earnings, but little research (especially empirical research) has been performed on
non-fundamental information in general and analysts’ use of this class of information in
particular. It shall be noted that all models discussed in this chapter utilize a Kyle (1985) style
market model, which considers single or multiple privately informed speculators and a
market maker under the assumption of general risk neutrality.
There are three notable theoretical contributions on the use of non-fundamental information
for speculative reasons. Madrigal (1996) develops an intertemporal asset market with two
sorts of informed trades, those made by an insider endowed with fundamental information
and those implemented by a speculator endowed with non-fundamental information about
forthcoming (random) liquidity demand. The speculator may not have fundamental
information, but he can better infer it from past rounds of trading than the market maker. It
shall be noted that the non-presence of the insider (who is endowed with fundamental
information) yields a worthlessness of the speculator’s non-fundamental information. By
means of this model, Madrigal (1996) shows that the existence of a speculator trading on
non-fundamental information may incentivize the insider to gather less fundamental
information due to a decreased marginal rate of return of this information. This may even
yield situations with an overall decreased price efficiency in equilibrium. Similar results are
obtained by Yu (1999). He considers the case in which there is only an insider, who is
endowed with two signals, fundamental information and a noisy signal about the demand of
Introduction
15
the liquidity trader. He shows that the profitability of this knowledge depends on the
precision of the latter signal: If it is perfectly informative, the insider can obtain positive
rents, whereas an imperfect signal may even be detrimental for his investment decision and
thus the profitability of his trading orders.
In a setting with a strategic manager who manipulates earnings and has an uncertain interest
in the market price similar to the setting of Fischer & Verrecchia (2000), Fischer & Stocken
(2004) provide some intuition about a strategic manager’s manipulation behavior when the
speculator is endowed with some information about the incentives of the manager. They
show that if the speculator has more information about the manager’s uncertain interest in the
price, the price would be increasingly responsive to earnings, which ex-ante incentivizes the
manager to bias earnings even more. This in turn yields the outcome that the presence of the
non-fundamentally endowed speculator increases the price efficiency in equilibrium only if
the speculator does not know too much about the manager’s objective relative to the
fundamentals of a firm.
The sole theoretical contribution of an information intermediary possessing private
information about a non-fundamental aspect of the market environment is that of Cheynel &
Levine (2012). Their analyst takes the role of an information seller and endogenously chooses
the price of the non-fundamental information, which he subsequently sells to a subgroup of
investors. They show that more precise non-fundamental information is more widely
disseminated among investors for a smaller fee but (again) it is reasoned that price efficiency
does not necessarily increase with the presence of a non-fundamental information seller.25
1.2.2. The Causes and Consequences of Analyst Coverage Behavior
In this chapter, I will summarize and discuss the state of research (ii) on the determinants
behind the decision of an analyst to initiate coverage and start acquiring information about a
firm and (ii) on some of the documented consequences of analyst coverage for the followed
firms.
Analyst Information Acquisition Costs and Coverage Initiation
In the chapters above I treated the amount of public and private information as if it were
exogenously given. In reality analysts actively collect information in order to predict a firm’s
25
As will be discussed below, Hayes (1998) assumes that the analyst, whose aim it is to influence the trading
decision of an investor, is endowed with some proprietary information about the random shocks in the future
share price. He moreover bases his decision to initiate coverage and collect information on this piece of
information.
Introduction
16
earnings. The analyst coverage literature has a strong focus on the information acquisition
logic because it is argued that the likelihood of coverage initiation is identical to the
propensity of an analyst to start collecting information. Notable theoretical contributions are
Hayes (1998), Mittendorf & Zhang (2005), Langberg & Sivaramakrishnan (2008) and
Fischer & Stocken (2010). Hayes (1998) develops a theoretical framework with a strategic
analyst and an investor, where the latter receives some information from the former and
either buys or sells shares. She shows that an analyst, who aims to maximize stock trading,
has an incentive to acquire more information only for well-performing firms, which is in line
with the empirical evidence of McNichols & O’Brien (1997). She argues that this effect
would especially occur in the existence of short-selling constraints.
There are several notable theoretical contributions on analyst coverage initiation. Fischer &
Stocken (2010) develop a cheap talk model with credibility issues between a biased
information sender (e.g., the “analyst” who wants to stimulate trade) and a receiver (e.g., the
“investor”). The analyst first observes a public information signal (e.g., earnings guidance,
information in stock price changes) and then decides whether to initiate coverage and, in the
case that coverage is initiated, how much private information to acquire. Their results
highlight the non-monotonic relationship between public information precision and private
information acquisition incentives. They predict that the introduction of public information
can yield a suboptimal total information endowment of the investor due to the credibility
costs in the cheap talk structure because these costs may be high enough to dissuade the
analyst from initiating coverage. Closely related to Fischer & Stocken (2010) is the theory of
Mittendorf & Zhang (2005), which extends the perspective established in Chapter 1.2.1.
about biased earnings guidance by means of a principal-agent relationship in the presence of
a third party, the analyst. The authors argue that the manipulation of earnings guidance is a
“necessary evil” because it introduces the uncertainty needed to motivate the analyst to
initiate coverage. Coverage is assumed to benefit the manager because the interaction
between manager and analyst is assumed to be part of the manager’s incentive contract, i.e.,
he benefits when there is analyst coverage. In a third setting, a voluntary disclosure model,
Langberg & Sivaramakrishnan (2008) raise the question of the likelihood of voluntarily
disclosed firm information in the potential presence of an analyst. The authors derive
conditions consistent with the argument that good news is disclosed even if it is imprecise,
whereas bad news is only disclosed if it is sufficiently precise. Regarding the role of analysts,
it is pointed out that good news is more likely to be covered than bad news and that analysts
Introduction
17
may have a preference for well-performing firms. This is generally in line with the
implications of Hayes (1998).26
In all of the mentioned theories an analyst has to pay a cost, which is a linear or convex
function of the information precision of the obtained private signal. Empirical research has
identified a variety of factors that shape these costs of information acquisition. These articles
usually use the notion of forecasting complexity or other analyst-specific factors as a
determinant of the analyst’s information acquisition strategy and thus the likelihood of
analyst coverage:
· Firm-specific factors:27
A first factor can be identified as the complexity of a firm’s
organizational structure. Bhushan (1989) and Frankel et al. (2006) argue that the
forecasting complexity and thus the costs of analyst information acquisition increase
in the number of business segments of a firm. Closely related to this first point is a
firm’s international diversification, which can be mentioned as another firm-specific
factor and which has been empirically shown to be a significant factor in the analyst’s
information acquisition strategy: Larger diversification is associated with a lower
accuracy of forecasts since a geographically specialized analyst has to bear larger
marginal costs of information gathering, which decreases his optimal information
precision level (Duru & Reeb 2002). Thus, both the organizational and the
geographical complexity of a firm increase information acquisition costs and thus
decrease the likelihood of analyst coverage. Moreover, Tan et al. (2011) document the
fact that the mandated change from local GAAP to IFRS led to an increase in analyst
following through increased comparability. Under the assumption that IFRS is
superior in terms of financial information quality, this is in line with the observations
of Lang & Lundholm (1996), namely that firms with a better disclosure quality and
policy show higher analyst following because this lowers the costs of information
acquisition. A last result on firm-specific factors is provided by Barth et al. (2002),
who show that the composition of a firm’s assets is also relevant in the information
acquisition strategy of an analyst. In particular, they claim that analysts would be
drawn to firms with a larger stake in intangible assets, which can be assumed to
26
Empirical research by Branson et al. (1998), Irvine (2003) and Das et al. (2006) indicates that an analyst’s
decision to initiate firm coverage has information content for the stock market. The presented theories are not
able to explain this phenomenon. 27
It shall be noted that the firm-specific factors may directly influence earnings’ priors. However, the
argumentation through costs yields qualitatively similar results, due to the assumption that the implications for
analyst information acquisition are the same for ex-ante less precise earnings or higher information acquisition
costs.
Introduction
18
increase a firm’s valuation uncertainty. This result is somewhat counter to those
discussed before since it implies that analysts would prefer firms with larger innate
information acquisition costs. The authors argue that the brokerage profit component
may explain this result since a higher uncertainty may be associated with larger
brokerage profits.
· Coverage portfolio specific factors: Analysts are assumed to face a decision of either
collecting information about a particular firm or gathering information about a whole
industry or geographical area. This tradeoff is especially relevant in the decision on
the firm coverage portfolio of an analyst, i.e., whether he chooses to specialize in an
industry or geographical area. Therefore, it is straightforward to argue that a
segmental or regional specialization is positively associated with forecast accuracy,
which is consistent with empirical observations (Clement 1999, Malloy 2005, Kini et
al. 2009). In a recent study, Sonney (2009) presents evidence showing that analysts
with a country specialization significantly outperform their counterparts with an
industry focus.
A last topic of high relevance for an analyst’s coverage initiation decision is the special event
of an Initial Public Offering (henceforth IPO) of a firm due to the newly created potential of
underwriter profits. Empirical research documents mixed evidence on the association
between the event of an IPO, analyst following and underwriter affiliation. Rajan & Servaes
(1997) and Cliff & Denis (2004) present evidence showing that higher underpricing
stimulates analyst coverage due to overoptimism. In particular underwriter affiliated analysts
are more likely to initiate coverage (Cliff & Denis 2004) and hence issue high target prices
and more favorable information in the case that the aftermarket performance of the firm is
below prior expectations (James & Karceski 2006). Moreover, it has been claimed that this
favorable coverage would be “discounted” by the market (Michaely & Womack 1999).
Contrary to these findings, Bradley et al. (2008) find evidence neither for the relationship
between aftermarket performance and affiliation of coverage-initiating analysts, nor for the
claim that investors would underreact to affiliated analysts’ information releases.
Consequences of Changes in Analyst Following
The existing literature in finance and accounting has documented a number of different
consequences for firms associated with (changes of) analyst firm coverage. These can be
summarized with the following three main consequences:
Introduction
19
· Facilitation of changes in a firm’s cost of capital: Alfond & Berger (1999) and
Roulstone (2003) use simultaneous equations models to show that higher analyst
coverage is associated with more stock liquidity. As is argued by Lambert et al.
(2011), this implies a decrease in a firm’s cost of capital. Another observation is made
by Chang et al. (2006), who argue that larger analyst following leads to better
financing terms and thus to a decrease in the cost of capital.
· Facilitation of changes in a firm’s disclosure policy: By means of a product market
oligopoly setting with a potential analyst following the firms in an industry, Arya &
Mittendorf (2007) provide theoretical guidance on the role of analysts as information
intermediaries. They show that a firm which benefits from analyst coverage (e.g.,
through a decrease of the firm’s cost of capital), initiates a more revealing disclosure
policy even if this means that it would need to reveal information which can be used
“against” it by its industry competitor. In line with this argument, Yu (2008) provides
evidence consistent with the conclusion that a higher analyst following decreases a
manager’s incentive to bias his information and initiate a more truthful and thus more
informative disclosure policy. It is straightforward to reason that this also has an
indirect effect on the cost of capital (Strobl 2013).
· Changes in the pricing of earnings: The existence of one (or multiple) analyst(s) that
provide firm information to (a part of) the market can have implications for the
pricing of earnings which are reported by the firm. First, it is assumed that analysts
provide new information prior to an earnings release (Asquith et al. 2005). However,
empirical studies show mixed evidence on the relation between the informativeness of
analyst earnings forecasts and reported earnings: Francis et al. (2002) and Frankel et
al. (2006) argue that they are complements (i.e., forecasts reinforce earnings), whereas
Chen et al. (2010) advocate the viewpoint that they are substitutes (i.e., forecasts pre-
empt earnings). Second, other empirical research by Dempsey (1989), Ayers &
Freeman (2003) and Gleason & Lee (2003) provide evidence that higher coverage
accelerates the pricing of earnings information released by the firm. These studies
analyze various reasons for this effect such as an increased motivation for investors to
“be prepared” for the interpretation of an earnings announcement (Dempsey 1989) or
the delegation of this interpretation role to analysts, where more analysts are assumed
to yield a higher responsiveness of the market to corporate financial information
releases due to the increased information processing capacity of the market (Ayers &
Freeman 2003).
Introduction
20
1.3. Contribution
The current dissertation provides three main contributions to the previously discussed
literature, which are based on the interactions of analysts with three major interest groups
(and involve the consideration of particular decisions which have been summarized in the
sequence of decisions in Figure 1), namely (i) peer analysts, i.e., analysts, who follow the
same firm and provide similar services (stages and ), (ii) the followed firm (stage
) and (iii) their clients (stage ), respectively. It is shown that the behavior of an
individual analyst is shaped by and shapes others’ actions in important ways.
1.3.1. Analysts’ Career Concerns, Forecast Biasing and Firm Coverage
Selection
Prior research has shown that career concerns influence equity analysts’ (and other economic
agents’) behavior. In particular, it is argued that intensified analyst career concerns yield
patterns in forecasts consistent with herding on prior expectations (e.g., Scharfstein & Stein
1990, Trueman 1994, Hong et al. 2000, Hong & Kubik 2003).
The first paper of this dissertation contributes to the literature by taking analysts’ herding
incentives as given and analyzing a setting with two equity analysts, who (simultaneously)
decide on the coverage of a firm by means of the provision of earnings forecasts. The
coverage is rewarded by a partially stochastic outcome, which is split in two halves in the
case that both analysts decide to follow the firm and is influenced by the realized forecasts in
a positive manner. However, both analysts obtain private proprietary information on the
stochastic elements of their halves of the reward and decide whether to start gathering
fundamental earnings information and to subsequently release a manipulated forecast. In the
case that they both decide to cover the firm, their performance is not only evaluated by
absolute forecast accuracy (as is the case when an analyst is the sole follower of a firm) but
with absolute forecast precision relative to the respective other analyst.
By means of this setting I am able to show that career concerns impact an individual analyst’s
coverage decision in a non-trivial way. In particular, the inherent effects in the model are
such that increased analyst career concerns keep the analyst from following a firm (i) if the
stock in question is relatively illiquid (i.e., trading volume is not very responsive to changes
in the forecast) and (ii) if the average private information quality of analysts is relatively
high. In addition, the paper presents the result that the decision against the coverage of a firm
(based on non-fundamental information) has information value to the peer analyst.
Introduction
21
1.3.2. Analyst Information Acquisition and the Informativeness of Forecasts
and Managed Earnings
Empirical studies show mixed evidence on the question of whether the informativeness of
pre-earnings analyst information and the information content of (potentially) managed
earnings announcements are substitutes (Chen et al. 2010) or complements (Francis et al.
2002, Frankel et al. 2006). However, since the informativeness of earnings announcements is
of great interest for standard setters, the issue of whether analyst information pre-empts or
reinforces the information content of earnings is of general importance.
In a second setting I show that an analyst who obtains a noisy signal over natural earnings
and wants to predict manipulated earnings chooses his information acquisition effort in such
a way that he matches the noise in the endogenous reporting bias. This in turn also shapes a
manager’s costly earnings management strategy, which optimizes the uncertain objective to
influence the price and moreover the meet-or-beat-analyst-forecast incentive. The paper
provides an intuition behind the empirical results and qualifies meet-or-beat incentives as the
reason for the so called interpretation or disciplining role of analyst earnings forecasts. It is
moreover shown that this role dominates the information role if information acquisition costs
are sufficiently high such that the weight in front of the analyst forecast in a regression of
price on earnings and the forecast shows a negative sign.
1.3.3. Discretionary Analyst Coverage and Capital Market Characteristics
The empirical as well as analytical literature on analyst coverage initiation or abandonment
imposes the presumption that analysts, incentivized by a tradeoff between stimulating
informed trade and reputational costs, would always disclose earnings forecasts if they have
previously gathered information (e.g., Hayes 1998, Cowen et al. 2006, Beyer & Guttman
2011). For example, the contributions of Hayes (1998), Mittendorf & Zhang (2005) and
Fischer & Stocken (2010) assume that once an analyst has started collecting information he
always discloses the information that he acquired and either does or does not distort it (i.e., an
application of an ex-ante coverage perspective). However, it is straightforward to assume that
an analyst has some discretion about whether he wants to withhold or release the already
acquired information, which is more consistent with an ex-post coverage concept.
The third contribution of this dissertation focuses on the discretionary coverage decision of
an analyst, who may provide a private information signal to a subset of the market and thus
chooses whether or not to create private information asymmetry among investors. As a
consequence, informed investors choose their stock trade order based on this information,
Introduction
22
whereas investors who are not clients of the analyst may infer some of the communicated
information from the market price. It is shown that the analyst’s coverage strategy, which
optimizes the tradeoff between the stimulation of informed trade and the costs stemming
from reputational concerns, is crucially dependent on the market’s properties and on the fact
that the analyst only initiates coverage and provides forecasted information if the information
is sufficiently extreme. In particular, it is shown that the likelihood of analyst coverage is a
non-monotonic function of the risk attitude of investors and the market penetration of the
analyst’s information: The likelihood of analyst coverage decreases with investors’ risk
tolerance and with the market penetration of the information (i.e., the fraction of the market
that the analyst directly supplies with the forecasting information) if the liquidity shock is
minor but reputational costs are significant, and increases otherwise.
In an extension with an imperfectly competitive capital market in which a few large traders
are aware that their demand order impacts the share price it is shown that analysts are more
likely to follow more liquid stocks. Prior empirical research such as that of Roulstone (2003)
shows that analyst following increases the liquidity of a stock. However, it has been unclear
whether analysts would consciously pick stocks with larger market liquidity.28
Moreover, this
result runs counter to the argumentation of studies such as those of Bhushan (1989), Ackert &
Athanassakos (2003) as well as Ljungqvist et al. (2007), who advocate the viewpoint that
analysts would prefer to supply large institutional investors with private information. Such an
argument is contradictive because large investors, whose trades substantially impact the stock
price, trade less based on their private information. This consequently impairs the liquidity in
the market.
1.4. Structure of the Dissertation
The cumulative dissertation proceeds such that the following chapters investigate the
previously derived research questions: (i) Analysts’ Career Concerns, Forecast Biasing and
Firm Coverage Selection (Chapter 2), (ii) Analyst Information Acquisition and the
Informativeness of Forecasts and Manipulated Earnings (Chapter 3) and (iii) Discretionary
Analyst Coverage and Capital Market Characteristics (Chapter 4). Chapter 5 provides a
comparative discussion and concludes the dissertation.
28
Beyer et al. (2010, 328) reason as follows: “Further, the direction of causality, that is, whether analyst
following leads to changes in liquidity or changes in cost of capital for firms, or vice versa, is not clear.”
Analysts’ Career Concerns, Forecast Biasing and Firm Coverage Selection
23
2. Analysts’ Career Concerns, Forecast Biasing and Firm
Coverage Selection
Chapter Abstract
In this paper I develop a rational expectations equilibrium model with two equity analysts,
who simultaneously decide whether or not to initiate coverage of a firm by providing
manipulated earnings forecasts. In line with empirical evidence on analysts’ career concerns,
I assume that analysts exhibit herding in the case that another analyst also follows a firm in
order to manage the risk of termination of employment. The main result of the paper is that
the likelihood of coverage initiation is a non-monotonic function of analyst career concerns.
In particular, it is shown that the association between coverage initiation and career concerns
is negative if the average analyst private information precision is sufficiently large and if the
responsiveness of the reward to the forecast is relatively small. In addition, I show that the
coverage initiation decision has information content to stakeholders such as peer analysts.
Keywords: analyst following, herding, forecast bias, non-fundamental information
JEL: D82, G20, M41
Analysts’ Career Concerns, Forecast Biasing and Firm Coverage Selection
24
2.1. Introduction
Equity analyst coverage is of great importance for firms because a larger analyst following is
associated with benefits for the firms, such as a more efficient pricing process (Ayers &
Freeman 2003, Barth & Hutton 2004), a higher market liquidity (Alfond & Berger 1999,
Roulstone 2003), and better equity financing terms (Chang et al. 2006), which altogether
decrease the firm’s cost of equity capital. Companies seem to be aware of the benefits, since
they are even willing to pay analysts for their services (Kirk 2011). Thus, analyst coverage
has a variety of consequences for the firm being covered. However, not a lot has been said
about the factors behind an analyst’s decision to initiate coverage.29
Due to the limited
availability of data on analysts’ decisions against the coverage of a firm, the investigation of
the issue of the causes of analyst following is a theoretical one.
In this paper I develop a symmetric and simultaneous rational expectations equilibrium model
to investigate the influence of analysts’ career concerns as a cause for coverage initiation. In
particular, I consider the decision of two peer analysts to initiate coverage of a particular firm
by means of earnings forecasting. I assume that each analyst receives a partly random reward
(i.e., brokerage profits and subscription fees net of information acquisition and other costs
such as opportunity costs), which is an increasing function of the analyst’s forecast.
Moreover, the analyst observes part of the random reward (i.e., non-fundamental or
proprietary information) and bases his decision on this observation.30
The key feature of the
model is introduced with the assumption that an individual analyst, in the presence of another
analyst who can serve as a forecasting performance benchmark for the first analyst’s
employer, has career concerns and realizes a herding pattern in his forecast because he also
optimizes the ex-ante expected difference of forecast errors (henceforth referred to as
“relative forecast accuracy”).31
A large set of prior research papers argues that analysts’ career concerns would have a
significant effect on their behavior. Scharfstein & Stein (1990) show theoretically that
managers who have reputational concerns partly ignore their private information and make a
29
Only the effect of the provision of earnings guidance on analyst following is already theoretically (e.g.,
Mittendorf & Zhang 2005, Arya & Mittendorf 2007, Fischer & Stocken 2010) as well as empirically (e.g., Chen
et al. 2011) well investigated. 30
The existence of non-fundamental information is in line with the assumption of Cheynel & Levine (2012),
who show that analysts can obtain a positive price from investors for information about random liquidity
demand. Moreover, it is also in line with the analyst’s endowment with proprietary market information in the
model of Hayes (1998). 31
In the other case, where there is only one follower of a particular firm, he optimizes absolute forecast
accuracy, which is in line with the work of Beyer (2008).
Analysts’ Career Concerns, Forecast Biasing and Firm Coverage Selection
25
decision in favor of the consensus investment decision. Trueman (1994) points out that
herding in analyst forecasts can be a consequence of their objective to communicate their
abilities in order to enjoy a better standing with their clients and employers. Empirical
research provides evidence on this relation and shows that analysts are more likely to be
punished with an unfavorable career outcome for being bold in their forecasts relative to their
peer’s forecasting. In particular, existing evidence shows that relative forecasting boldness
yields an increased risk of termination of employment (Hong et al. 2000) or a decreased
probability of being promoted (Hong & Kubik 2003).32
It can be followed that existing
research documents the explicit association between analyst career concerns and the ex-ante
incentive to herd due to analysts’ career concerns. However, the mentioned theories focus on
the signaling aspect of career concerns but do not consider whether these also shape the
observability of forecasts in the first place.33
This is the claim examined by the current paper.
I contribute to the existing literature in three ways. First and most importantly the paper adds
to the theoretical literature on the decision of an analyst to initiate coverage of a firm.
Mittendorf & Zhang (2005) investigate a game between a strategic analyst, who considers
following a firm, and a strategic firm manager, whose aim is to guide expectations downward
with a manipulated management earnings forecast so that the analyst forecast is more likely
to be beaten in the earnings disclosure stage. They show that biased earnings guidance
ensures that the analyst is incentivized to collect information about a firm. Arya & Mittendorf
(2007) establish a firm competition framework with an analyst, whose presence creates an
incentive for firms to have a more revealing disclosure policy. Fischer & Stocken (2010)
focus on an information acquisition and communication game with a biased analyst providing
information to a decision maker, where the latter imposes credibility costs on the former. As
in Mittendorf & Zhang (2005), Fischer & Stocken (2010) focus on the provision of earnings
guidance and its consequences for the strategic behavior of an analyst and show that the
decision maker may be strictly worse off in situations in which the firm provides accurate
public information because this may demotivate the analyst to provide additional information.
This paper is different from Mittendorf & Zhang (2005), Arya & Mittendorf (2007) and
Fischer & Stocken (2010) in a variety of ways. First, their papers have a strong focus on the
strategic interaction between an analyst and either the followed firm or an information
recipient, whereas I investigate the anticipated strategic interaction between peer analysts.
32
Graham (1999), Welch (2000) and Clement & Tse (2005) also find robust evidence on the existence of
analysts’ career concerns and their influence on herding in forecasts. 33
In other words, the incentive to herd may have unintended consequences for analysts’ stock picking behavior.
Analysts’ Career Concerns, Forecast Biasing and Firm Coverage Selection
26
The fact that this strategic interconnectedness can be important is shown by the already
mentioned career concerns papers but also by other empirical studies.34
A second important
difference of the theoretical coverage initiation papers from mine is that the former solely
focus on the role of a firm’s disclosure policy and its effect on analyst coverage. On the
contrary, I identify analysts’ career concerns introduced by forecast herding incentives to be
an influential force in the coverage initiation decision. In particular, career concerns are
shown to impact on analyst coverage in a non-monotonic way due to the existence of two
potentially countervailing effects, the standard deviation of forecast errors effect and the peer
forecast bias effect: It is shown that analysts’ career concerns decrease the likelihood of
analyst coverage if the private earnings information precision is sufficiently large and the
reward-of-coverage response to the analyst forecast is sufficiently low. This effect is most
likely to be observed in cases in which large brokerage houses with a financially well-
endowed, affiliated analyst research department initiate coverage of IPO stocks whose prices
may not be sufficiently responsive to their forecasts (e.g., due to a low liquidity in the
market).
Research on the partly conflicting incentives of analysts is closely related to the first stream
of literature: Equity analysts usually trade off their reputation objective with one that
provokes market reactions and possibly contributes to the brokerage profits of the affiliated
investment houses (e.g., Hayes 1998, Jackson 2005, Beyer & Guttman 2011). The overall
conclusion of this branch of literature is that trading volume generation is a notable source for
the well-known bias in analysts’ forecasts. Hayes (1998) is the only contributor within this
branch of research to consider a notion of analyst coverage. She additionally considers a
similar sequence of events, where she also first assumes the existence of some preliminary
information about the profitability of covering a firm on which the analyst bases his coverage
initiation strategy. The crucial difference between this paper and Hayes (1998) is that I
consider a strategic interaction of two analysts rather than an interaction between an investor
and an analyst. In line with Hayes (1998) I provide some guidance on the relevance of firm
characteristics for analyst following. However, a notably different result to the one obtained
by Hayes (1998) is that increases in private earnings information precision do not necessarily
incentivize analysts to establish a strategy with a higher likelihood of coverage initiation in
the presence of career concerns. Conversely, the individual analyst would choose to “collude”
34
For example, Stickel (1992) and Groysberg et al. (2011) provide evidence consistent with the argument that a
relatively higher number of accurate analysts are rewarded with an enhanced reputation through Institutional
Investor All-Star recognition, which in turn yields higher brokerage profits and higher compensation for the
individual analyst.
Analysts’ Career Concerns, Forecast Biasing and Firm Coverage Selection
27
with the other analyst and settle on a lower level of forecast accuracy when analysts’ career
concerns are introduced into the structure and are assumed to be sufficiently strong.
This paper contributes to the literature in a third way, namely that distinct features (more
precisely, reward features) of the model can be reconciled with the evidence of two distinct
sets of empirical studies. First, the model developed herein confirms that one aspect of higher
market liquidity, namely a larger response to the forecast, incentivizes analysts to follow a
firm. Empirical studies on the impact of analyst following on market liquidity reasoned this
relationship and used simultaneous models to overcome the endogeneity issue (Alfond &
Berger 1999, Roulstone 2003). The second aspect is based on the assumption that analysts
earn a partly stochastic reward of coverage and that a sole follower earns the overall reward,
whereas two followers only earn half of it. Since the latter knows that his peer also observes
part of the noise of his potential share and may decide against coverage initiation he revises
his ex-ante expectations downward in the coverage initiation stage. It follows that the
knowledge about the coverage decision has information value for stakeholders such as
(potential) peer analysts if the existence and observation of non-fundamental information is
assumed. The claim that coverage initiation has information value to stakeholders is not
completely new; Branson et al. (1998), Irvine (2003) and Das et al. (2006) provide archival
evidence that investors react to analyst coverage initiation announcements by means of
subsequent trading. However, I show that in my setting it is the non-coverage that has
information value to peer analysts and I moreover provide the general result that if the part of
the reward for which information is directly or indirectly available increases, analysts may
not necessarily be more willing to initiate coverage due to the downward revision in
conjunction with the non-coverage of the peer analyst.
This paper proceeds as follows: Chapter 2.2 discusses the economic setting. In Chapter 2.3
the model is solved and the unique coverage initiation and forecasting equilibrium is proven.
The comparative statics on the likelihood of analyst coverage are presented in Chapter 2.4,
whereas empirical implications are discussed in Chapter 2.5. The conclusion is displayed in
Chapter 2.6.
2.2. Economic Setting
In this section I describe the economic setting. In particular, I assume the existence of two
analysts with career concerns, who simultaneously choose their coverage and
forecasting policies. Figure 1 provides the sequence of events.
Analysts’ Career Concerns, Forecast Biasing and Firm Coverage Selection
28
Each analyst observes
and announces the
decision to initiate firm
coverage
Each analyst chooses
forecast and
discloses it publicly
Earnings are
disclosed Each analyst observes
private earnings
forecasting signal
Each analyst observes
whether the respective
other analyst
announced that he
would cover the firm
I study a market for coverage initiation which yields a partly stochastic payoff for an analyst
who decides to initiate the coverage of a particular firm and to disclose a forecast on
forthcoming earnings. Analyst receives a profit or loss of covering a firm and disclosing a
forecast denoted by (henceforth “reward”), which shall be defined as the net sum of
brokerage profits, information acquisition and processing costs and costs for business
acquisition and other.35
It is moreover assumed that firm coverage may not always yield a
profit when related costs are considered. In particular, this argument holds true for cases in
which a large initial investment in knowledge is necessary to be able to compete in a
contested market, as is the case in the equity research business. In addition, the portfolio
choice of an analyst can be also highly relevant for the determination of the reward of one
selected project (e.g., Clement 1999, Kini et al. 2009): The benefits of allocating limited
resources to the coverage of a particular firm may be outweighed by the opportunity costs of
not following another (potentially more profitable) firm. Therefore, there are several
economic arguments for the existence of economic loss in the project selection of equity
analysts.
However, an analyst’s reward is assumed to be of the form
, where is a positive constant and denotes the average response
of the reward to the earnings forecast of analyst , . The assumption that excludes
cases in which the average forecast overoptimism bias induced by the reward approaches
infinity.36
This is in line with the results of the theoretical investigations provided by Beyer
(2008) and Beyer & Guttman (2011): They show that the bias in analyst forecasts is restricted
from above and below and is crucially influenced by the trading volume objective.37
35
See Beyer & Guttman (2011) for a theoretical investigation on brokerage profits as an objective of an analyst
who shapes his forecasting strategy. 36
Random terms are denoted with a tilde, whereas conjectures are denoted with a hat. 37
Consistent empirical evidence on the market impact of analyst forecasts is provided by Lys & Sohn (1990)
and Gleason & Lee (2003).
Figure 2: Sequence of Events (Paper 1)
Analysts’ Career Concerns, Forecast Biasing and Firm Coverage Selection
29
Uncertainty is introduced in the payoff structure through the stochastic variables and ,
which are both assumed to be independently standard normally distributed.
captures the relative weight on these two stochastic shocks.38
The assumption of standard
normal distribution is without loss of generality but eases the updating and the uniqueness
proof. The existence of these two shocks and the relative weight is relevant due to the
assumption that analyst observes in the first stage and bases his coverage initiation
decision on the realization of this non-fundamental information. An example for such a piece
of information is an analyst’s estimation of the expected demand of liquidity traders and the
resulting expected market reaction, net of transaction costs. The claim that analysts may have
non-fundamental information of this kind is also made by Cheynel & Levine (2012), who
show that such a piece of information may be of value to others (e.g., shareholders or peer
analysts).39
However, as will be shown below, if the realization of is above a certain
threshold, analyst decides to initiate coverage and announces his decision publicly. At the
same time, analyst also discloses whether he will offer a forecast on the firm’s earnings.
After both have announced their decision, both check whether the respective other analyst
emulates his actions. This introduces the possibility of three cases, one in which there are two
analysts following a firm, another in which only one analyst covers a firm’s earnings, and a
third where no analyst initiates coverage.40
In the next step analyst gathers information and observes a private signal over forthcoming
earnings, , where denotes earnings, which are assumed to be normally
distributed with zero mean and precision (inverse of variance) .41
The s are assumed to be
independently and identically normally distributed with zero mean and precision , and
capture the forecasting errors of the private signals due to lack of information or ability of
analysts.42
After analyst observes his private signal, he formulates his forecast, which
maximizes his utility in the respective case.
As mentioned above, the described setting yields two cases with two different objective
functions and forecast disclosures, and one in which there is a payoff of zero and no forecast
38
The reason for the assumption of two independent random variables that are weighed by is to introduce
some residual uncertainty, which remains after the observation of one of the two variables. This makes
economic sense since it cannot be argued that economic profits are ex-ante certain. However, the model’s
results, with the exception of the one obtained in Corollary 4 (ii), remain qualitatively similar. 39
The fact that investors are interested to pay a fee for non-fundamental information is not necessarily
connected with a higher efficiency of prices, which is shown by Madrigal (1996). 40
It shall be noted that the one analyst case is a feasible situation in the described game because of the
randomization of the rewards and the associated non-fundamental information asymmetry among analysts. 41
The assumption of a mean of zero is without loss of generality. 42
The information gathering stage is assumed for the sake of simplicity to be exogenous.
Analysts’ Career Concerns, Forecast Biasing and Firm Coverage Selection
30
disclosure. In the first case (henceforth the “monopoly case”, abbreviated with “ ”), analyst
is the only follower of a firm and receives the total reward, or .
Moreover, he also considers the expected absolute forecast error as a loss, or ,
which is in line with the evidence of Basu & Markov (2004) on the appropriateness of the
absolute rather than the quadratic forecast error loss function. It follows that the utility of
analyst in the monopoly case is
. (1)
The second case (henceforth the “duopoly case”, abbreviated with “ ”) describes the
situation in which analyst competes with analyst and earns . In this case, I
assume that the forecasting decision is also shaped by analyst ’s career concerns because
there is another analyst , who now provides a benchmark for the employer of with respect
to ’s performance in the forecasting task. Moreover, a considerable body of empirical
research shows that analysts who underperform with respect to the accuracy of their forecasts
relative to that of their peers’ have to face a strictly worse career outcome regarding the risk
of termination or the chance of being promoted (e.g., Mikhail et al. 1999, Hong et al. 2000,
Hong & Kubik 2003, Groysberg et al. 2011). In line with previous theoretical articles such as
those of Scharfstein & Stein (1990) and Trueman (1994), this yields an implicit incentive for
the ex-ante management of the forecast towards that of a peer, who may also follow a
particular firm. In other words an incentive exists to issue a forecast with a herding pattern
that puts more weight on the prior expectations and less on an analyst’s private information.43
Herding is introduced here via a special cost term in the duopoly case which consists of the
absolute of the forecast error net of analyst ’s forecast error, or
, which I henceforth refer to as relative forecast accuracy.44
captures the average career concerns of analysts, where a higher is interpreted as
larger career concerns. The intuition behind the limit of is that the primary objective of a
minimization of one’s own absolute forecast error should also remain present in the duopoly
case, which is generally in line with methodological choices of empirical studies (e.g., Hong
et al. 2000). The utility of analyst in the duopoly case is as follows:
43
It shall be noted that a similar structure can be imposed with the countervailing “anti-herding” pattern found
by Bernhardt et al. (2006) or Chen & Jiang (2006). The results of such a structure are qualitatively identical. 44
The choice of the mean consensus forecast error (which also includes ’s forecast) instead of the peer
analyst’s forecast error as is suggested by Clarke & Subramanian (2006) yields qualitatively similar results.
Analysts’ Career Concerns, Forecast Biasing and Firm Coverage Selection
31
. (2)
An additional assumption has to be introduced to ensure the existence of a unique
equilibrium: I assume that the ex-ante expected utility of analyst in the monopoly case is
always positive before he observes any information, i.e., he would always initiate coverage
where he wouldn’t have to share potential profits or losses of the coverage of the firm and if
the other analyst were to be completely absent. This is a strong assumption, but the
motivation behind it is a rational one and in line with an out-of-equilibrium belief: An analyst
would simply not want to acquire a non-fundamental private information signal about the
potential reward and above all a signal about earnings if the net present value of a coverage
project wouldn’t be positive in the case that he were to receive all of the potential reward.
This assumption leads to a minimum level of , , which will be shown to be strictly
positive for the proposed model structure.
In the final stage, forecasts are disclosed simultaneously and subsequently earnings (as well
as forecast errors) are realized. All distributional assumptions are common knowledge. In this
paper I focus on a pure strategy Bayesian Nash equilibrium with linear forecasting strategies
with conjectures and for monopoly and duopoly cases,
respectively. In addition, the conjectures are assumed to be self-fulfilling.
2.3. Model Solution and Equilibrium
In this section I derive the model solution and prove its uniqueness. The solution to the
proposed setting proceeds by means of backward induction. It shall be noted that the
presented equilibrium will be symmetric (i.e., each analyst imposes the same strategies) due
to identical private earnings information qualities, career concerns and rewards. These
assumptions are necessary to rule out some of the mathematical complexity from the
proposed model structure.
2.3.1. Analysts’ Forecasting Strategy in the Monopoly Case
In this section I derive the solution to the forecasting problem in the event that analyst is the
sole follower of the firm. In the first step the forecast solves the conditional expectation of the
utility defined in equation (1), or
. (3)
The conditional expectation in (3) also takes into consideration the information that the
observation of by analyst kept him from initiating coverage (i.e., the realization
Analysts’ Career Concerns, Forecast Biasing and Firm Coverage Selection
32
is below a certain threshold ).45
This has information value to analyst . This
feature will be important in the derivation of the coverage initiation threshold but does not
influence the forecasting strategy due to the specific form of the reward. The solution of the
endogenous forecast follows the proof of Beyer (2008). Consequently, the problem in (1) is
proportional (i.e., they yield the same solution) to that of the following expression:
.
denotes the probability density function conditional upon the observation of .
The first order condition by means of the standard formula for a differentiation under the
integral sign is obtained and simplified to
, which can be rearranged such that . The left side is the
cumulative distribution function of all values below , whereas the right side is always
larger than since . It follows that , where denotes the
expectations operator, and consequently that by means of the
standard formula for the cumulative distribution function of a normally distributed random
variable.46
After the derivation of the conditional expectation and the conditional variance,
the forecast of analyst in the event that he is the only follower is
, (4)
where and . The term is strictly positive under the
assumptions made and captures the average upward bias of the forecast of analyst in the
monopoly case. Since the second order condition of the problem is always negative, a
maximum is obtained with forecasting strategy .
2.3.2. Analysts’ Forecasting Strategy in the Duopoly Case
The solution of analyst ’s forecasting strategy in the duopoly case is similar to that in the
monopoly case. For this case the problem can be formulated as follows:
. (5)
45
The coverage initiation threshold is endogenously derived below. 46
The Gaussian error function is denoted by .
Analysts’ Career Concerns, Forecast Biasing and Firm Coverage Selection
33
The procedures to derive the solution of this problem in (5) are listed in the Appendix. The
resulting forecast is as follows:
, (6)
where and . Important relations, which will be useful to
prove the uniqueness of the equilibrium, are that and that . Again, the
forecasting strategy is always an optimal solution to the maximization problem in (5).
The forecasting strategy resembles those described in prior theories on analyst herding (e.g.,
Scharfstein & Stein 1990, Trueman 1994): Increasing levels of yield a higher underreaction
to the private forecasting signal and shift the weight towards the priors (which are assumed
to be zero). Moreover, the reward-induced upward biases have certain properties, which are
summarized in Corollary 1.
Corollary 1: The forecast biases have the following properties:
(i) the reward-driven upward bias in the monopoly case is larger than that in the duopoly
case ( ) and
(ii) the upward bias in the duopoly case increases in analyst career concerns ( ).
Proof: The proof is straightforward and thus omitted.
Corollary 1 (i) presents the observation that the reward-induced upward bias is generally
larger in the monopoly case than in the duopoly case. This observation is crucially influenced
by the reward response: The market is assumed to react more strongly to the analyst forecast
if there is no other analyst disclosing a forecast on the firm’s earnings. This incentivizes the
analyst to introduce a larger upward bias in the forecast in the case that he is the sole
follower. More importantly, the upward bias in the duopoly case increases in analyst career
concerns , as is argued by Corollary 1 (ii). Thus, herding initiates an underreaction not only
to the private information but also to a larger upward bias. However, Corollary 1 (i) shows
that even with highly distinct career concerns, the herding bias is smaller than the monopoly
bias. Under the assumption of increasing career concerns the difference between the
overoptimism biases in the respective cases decreases in their magnitude, or
.
Analysts’ Career Concerns, Forecast Biasing and Firm Coverage Selection
34
2.3.3. The Coverage Initiation Threshold
In the last step, the condition which implicitly defines the coverage initiation threshold
, is derived. Due to the absolute forecast error loss functions in the respective case,
the expectation of a folded normally distributed random variable has to be derived for each
respective case. The problem of analyst in the coverage initiation stage is as follows:
. (7)
The probability of the non-initiation of analyst is captured by the cumulative distribution
function . Moreover, analyst already knows at the coverage
initiation stage that analyst will not initiate coverage as long as the perceived reward is
below a certain threshold . He uses this knowledge to update his beliefs accordingly, which
is summarized by Corollary 2. 47
Corollary 2: The anticipated non-coverage of analyst has information value to analyst .
Proof: The proof is straightforward and thus omitted.
Under the assumption of non-fundamental information endowment of analysts, Corollary 2
shows that stakeholders such as a peer analyst can infer (or more precisely anticipate) analyst
’s private information in the decision to initiate coverage of a particular firm. This adds to
the literature on the information value of analyst coverage initiation, which consists of the
empirical studies of Branson et al. (1998), Irvine (2003) and Das et al. (2006). However,
these studies provide evidence of a significant return effect as a reaction to analyst coverage
initiation announcements, whereas I show that it is the non-coverage of the peer analyst that
contains information used by to update his beliefs.
The derivation of the equilibrium condition for the coverage initiation applies the formulae
for the expected value of a folded normal distribution and a truncated standard normal
distribution, and is summarized in the Appendix. It shall be noted that the condition in (7)
holds with equality to obtain the equilibrium threshold level, which has the property that
holds true in equilibrium. As is shown in the Appendix, a unique coverage
initiation threshold exists under the above-mentioned assumptions. Again, an
47
In general, this has some similarities to the voluntary disclosure framework of Verrecchia (1983). However,
the author neither considers non-fundamental information endowment of the sender nor a peer analyst setting
with coverage initiation.
Analysts’ Career Concerns, Forecast Biasing and Firm Coverage Selection
35
important condition is that the total ex-ante expected reward has to be large enough, or
, to incentivize the analyst to acquire fundamental and non-
fundamental information signals.48
This condition stems from the assumption that the
expected utility before observation of a part of the reward is positive in the monopoly case.
Proposition 1 summarizes the equilibrium.
Proposition 1: Given that , a unique equilibrium exists consisting of forecasting
strategies for the respective cases and a coverage initiation threshold with the following
properties:
(i) the forecasting strategy in the monopoly case is and ,
(ii) the forecasting strategy in the duopoly case is and and
(iii) the threshold
is defined by the
following condition:
. (8)
Proof: The remaining parts of the proof are in the Appendix.
The equilibrium defined in Proposition 1 has an important property, which needs further
clarification: The threshold , which is implicitly defined by condition (8), can take any
sign, i.e., it can be positive or negative. Thus, in the tradeoff between the financial factor (the
reward) and his reputational and/or career concern incentives, an analyst would be willing to
engage in a coverage project which may not be profitable in financial terms. Moreover, it is
not possible to argue which one of the cases is more likely. In the next chapter the
equilibrium coverage initiation threshold will be analyzed and the inherent associations
explained.
48
It shall be noted that is always positive due to the assumption of the zero mean of earnings. However, the
results remain qualitatively similar with a non-zero mean.
Analysts’ Career Concerns, Forecast Biasing and Firm Coverage Selection
36
2.4. Analysts’ Career Concerns and Firm Coverage Selection
In this section I present the economic effects in the model and explain their influence on the
behavior of the coverage initiation threshold , where threshold increases are interpreted
with a smaller likelihood of a following by an individual analyst.
The associations in the developed model are mostly driven by a tradeoff between two distinct
effects, one in which both the forecast error standard deviation and one’s own overoptimism
bias are influential (henceforth “standard deviation effect”) and another in which the peer
forecast overoptimism bias is crucial (henceforth “peer effect”). Both effects are obtained as a
result of two model components: The responsiveness of the reward to the individual forecast
and the relative forecast error loss function.49
In particular, the standard deviation effect is represented by the weighted expected cost term,
or . Most of the comparative statics
discussed below, except the main result of this paper, are dominated by the standard deviation
effect. However, the second effect, the peer effect, introduces a countervailing force into the
model. It is represented by the term , and thus occurs solely due to the
herding incentive, which is introduced into the model by the relative forecast accuracy
maximization objective. The analysis of the distinct comparative statics begins with the
variation of the properties of analysts’ information environment and endowment. These
effects are summarized in Corollary 3.
Corollary 3: The coverage initiation threshold
(i) strictly decreases in the earnings precision and
(ii) decreases in the average private information precision if career concerns are
sufficiently low, or , and may increase or decrease otherwise.
Proof: The proof is in the Appendix.
The results in Corollary 3 mostly stem from the behavior of the a priori standard deviations of
the forecast errors, and , for the monopoly and duopoly cases, respectively, and thus
from the standard deviation effect. Corollary 3 (i) provides a first result, namely the
49
For the analysis of I use the implicit function theorem. Every association is described with the claimed
inherent effects, where the behavior of each effect is directly interpreted in conjunction with the sign it has on
the coverage initiation threshold and/or on the likelihood of analyst coverage. For example, when the standard
deviation effect increases in an exogenous variable, this increases the threshold and decreases the likelihood of
analyst coverage.
Analysts’ Career Concerns, Forecast Biasing and Firm Coverage Selection
37
unambiguously positive relationship between the predictability of earnings and the likelihood
of analyst coverage. The result is a standard one and can be found in several other theoretical
articles (e.g., Hayes 1998, Fischer & Stocken 2010).50
It is obtained because both analysts
shift more weight onto the prior expectation and less weight onto the private information
when earnings become more precise. Consequently, the ex-ante expected standard deviation
of forecast errors decreases, which directly decreases the threshold and thus increases the
likelihood of analyst coverage. Moreover, in the duopoly case both analysts “collude” to put
even more weight on priors, which means that the effect is stronger in the duopoly case than
in the monopoly case. However, the current model also considers the peer effect, which
behaves counter to the standard deviation effect but is not strong enough to even ambiguously
render the overall association.
The result that a larger earnings precision is associated with a larger likelihood of analyst
coverage is only partly confirmed by empirical evidence. For example, Tan et al. (2011)
document that the mandated change from local GAAP to IFRS in 2005 – this change is
commonly believed to improve a firm’s mandatory reporting and disclosure quality by
academics and practitioners – would have led to an increased following by globally active
analysts due to a larger level of comparability. Contrary to Tan et al. (2011), Barth et al.
(2002) argue that firms with a higher proportion of intangible assets are followed by a larger
number of analysts because equity analysts would be drawn to the larger measurement risk
and thus a higher earnings uncertainty.
The result in Corollary 3 (ii) is profoundly more sophisticated and states that the likelihood of
analyst coverage increases in the average private information precision if analysts’ career
concerns are sufficiently weak. Contrary to the common beliefs about analyst coverage
initiation and the theoretical evidence of Hayes (1998), the result shows that a larger average
resource endowment and/or ability of analysts, which can both be assumed to lead to more
precise earnings estimation signals, do not necessarily yield a larger incentive to initiate
coverage in the presence of analyst career concerns. The reason for this effect lies in the
behavior of a part of the expected standard deviation of the relative forecast error, namely :
An increase in the private information precision increases both of the analysts’ predictive
accuracy of uncertain earnings (and each other’s conjecture with respect to their private
information endowment) and incentivizes them to allocate more weight to their private
50
Fischer & Stocken (2010) do not directly state this result, but it follows from the information acquisition
strategies in all of their discussed model variants.
Analysts’ Career Concerns, Forecast Biasing and Firm Coverage Selection
38
information signal. This in turn triggers the strength of the herding incentives, which
effectively means that the reallocation of weight towards the analyst’s private information is
undermined by herding. Since this is a symmetric effect (i.e., both analysts have conflicting
incentives) this yields an ambiguous condition. A restricted strength of career concerns
( ) provides a sufficient condition to obtain an unambiguously positive effect. It shall be
noted that the peer effect is again not strong enough to dominate the standard deviation effect.
Corollary 4 highlights the behavior of the coverage initiation threshold when reward
properties vary.
Corollary 4: The coverage initiation threshold
(i) strictly decreases in the reward responsiveness and
(ii) increases in the observable share of the reward if the ex-ante expected reward is
sufficiently large, or , and decreases if .
Proof: The proof is in the Appendix.
Corollary 4 (i) establishes the association between the reward responsiveness of analyst
forecasts and the coverage initiation policy. It is shown that an analyst is more likely to
initiate coverage if the reward is more responsive to changes in the forecast. In general, a
larger reward response increases the incentive to include a higher upward bias in the forecast.
It follows that the ex-ante expected forecast errors increase in the respective cases, which in
turn initiates a lower threshold. However, this effect is completely offset by the increased
benefits of a larger reward. What remains is the net effect, which is captured by the standard
deviation effect through the parameters and : Here changes in the responsiveness yield
a negative effect with respect to the coverage initiation threshold . Additionally, the
increase in the likelihood of coverage is even triggered by the otherwise countervailing peer
effect.
It is straightforward to reason that a larger responsiveness of the reward (i.e., trading volume)
is not only influenced by the informativeness of forecasts but also by other factors such as the
liquidity of the stock. Prior empirical research by Alfond & Berger (1999) and Roulstone
(2003) provides results consistent with the effect that a larger analyst following leads to a
higher liquidity of the followed stock. The current model implies an endogenous relationship
between liquidity and the likelihood of analyst coverage initiation, which is addressed by
both studies through the use of a simultaneous equations approach in their empirical
Analysts’ Career Concerns, Forecast Biasing and Firm Coverage Selection
39
investigations. The model’s result stated by Corollary 4 (i) reinforces the validity of this
methodological choice.
Corollary 4 (ii) summarizes another result on the relevance of the structure of the reward for
analyst coverage initiation: Analysts learn only a part, , of the uncertain reward, and the
larger this share, the lower the coverage threshold if is sufficiently small. Non-
monotonicity is introduced by the specific reward setting imposed in this paper: An analyst
receives only part of the reward if there is another analyst to also follow the firm, whereas the
total reward is appropriated to a sole follower. Furthermore, an analyst will potentially be the
sole follower when the other analyst observes a relatively bad signal on the share that he
would receive if he were to also initiate coverage (i.e., the signal realization is below the
endogenous coverage initiation threshold). Since the sole follower anticipates this in the
coverage initiation decision, he revises his expectations of the realization of the respective
reward share downwards. Larger levels of the constant yield the case that the threshold
is shaped to be unambiguously negative and the effect of on the likelihood of coverage
unambiguously positive.
Therefore, this proves that the more an analyst learns about the reward, the less likely it can
be that he initiates coverage because the non-coverage of the peer analyst is interpreted as a
very bad signal, given that the ex-ante expected reward is sufficiently large. This is a
relatively technical result but provides an important insight, namely that the announcement
by an analyst that he will initiate coverage of a firm by means of earnings forecasting may
have information value for others and may be a sign that an analyst possesses non-
fundamental information, which may be also valuable for other stakeholders of the firm. As
the last step of the analysis the main result of the paper is exposed in Corollary 5.
Corollary 5: The coverage initiation threshold increases in analysts’ career concerns if
the average private information precision is sufficiently large and the responsiveness of the
reward to an analyst forecast sufficiently small, or and , and decreases
otherwise.
Proof: The proof is in the Appendix.
Corollary 5 documents the behavior of the threshold with respect to analysts’ career
concerns and thus the main result of this paper. In particular, it is claimed that the threshold
is a non-monotonic function of . In this non-monotonicity, the parts in the expected
utility function stemming from the duopoly case of both the standard deviation effect and the
Analysts’ Career Concerns, Forecast Biasing and Firm Coverage Selection
40
peer effect are contributive. It is straightforward to show that the standard deviation effect
unambiguously decreases in career concerns, which in turn decreases the threshold level
and increases the likelihood of coverage. The second effect, the peer effect, is conditionally
counter to the standard deviation effect if . In the cases in which the overall
association between career concerns and the likelihood of analyst coverage initiation are
positive. Furthermore, Corollary 5 shows that analyst following may even be deterred by
increases in analyst career concerns if not only the average private information precision is
sufficiently large ( ) but if also the average reward response is sufficiently small ( ).
2.5. Empirical Implications
The model developed and analyzed above has several empirical implications, which will be
discussed in this section of the paper. It shall be noted that some of the predictions have
already been confirmed by existing empirical research, whereas others (including the main
result of this paper) are yet to be investigated. Due to the assumptions that analysts announce
their decision to initiate coverage and disclose their forecasts simultaneously, and that the
reward may also be derived from brokerage profit commissions, the implications of the
presented model are most likely to be testable with firms performing an Initial Public
Offering and with analysts affiliated to one of the underwriters that accompany this process.
A first implication of the model represents the opportunity for brokerage profit stimulation.
Firms that perform poorly in the aftermarket are more likely to be covered with favorable
analyst reports. The favorability comes into play because affiliated analysts should be less
likely to issue unfavorable news about a firm which is a client of the affiliated underwriter
due to future brokerage deals from increases of capital. Existing empirical research provides
evidence which is in line with this prediction: Underwriter-affiliated analysts in particular are
more likely to initiate coverage and publish favorable information such as high price targets
or strong buy recommendations if the IPO firm’s stock shows poor aftermarket performance
(e.g., Rajan & Servaes 1997, Cliff & Denis 2004, James & Karceski 2006). In addition,
Michaely & Womack (1999) argue that the information in this favorable coverage would be
discounted by the market participants.
Further predictions can be made based on the overoptimism biases in the respective cases,
which are essential for the results of this paper. It has been shown by Corollary 4 (i) that the
reward response to forecasts crucially influences not only the forecast bias but also an
analyst’s coverage initiation strategy through the bias. As mentioned above, an influential
factor that may shape the reward response can be identified as the stock’s liquidity:
Analysts’ Career Concerns, Forecast Biasing and Firm Coverage Selection
41
Observable forecast biases are positively related to market liquidity and are partly the result
of self-selection. In general, the self-selection part of the prediction is in line with the
theoretical result of Hayes (1998) and also confirmed by the evidence provided by
McNichols & O’Brien (1997). However, what has still not been empirically investigated is
how market properties such as liquidity mediate between overoptimism bias and coverage
initiation.
Another prediction, which is closely related to the latter, is the observation that the forecast
bias is always strictly larger in the monopoly case than in the duopoly case, as is proposed by
Corollary 1 (i). This result is obtained because the reward response is assumed to be halved in
the latter case, whereas a single analyst following a firm obtains the maximum available
response. Under the presumption that a larger analyst following yields to a decrease in the
responsiveness of the trading volume to each individual forecast, this result is in line with the
evidence presented by Lys & Soo (1995). They show that the ex-post forecast error is a
decreasing function of the number of analysts following the respective firm, where the
number of following analysts should represent forecasting competition among peer analysts.
A last empirical implication, for which to the best of my knowledge empirical evidence is
still missing, can be derived in conjunction with the main result of the model: Analyst
coverage initiation is shown to be a non-monotonic function of analysts’ career concerns due
to the tradeoff between the standard deviation effect and the peer effect. The following claim
can be formulated: Coverage by analysts with larger career concerns is more likely if the
private information precision is sufficiently large and the reward response is sufficiently low.
It shall be noted that such a situation corresponds to a setting in which a brokerage house
with a large resource endowment allocated to the analyst research department covers a stock
with a relatively low level of liquidity.
2.6. Conclusion
This paper develops a symmetric and simultaneous move rational expectations equilibrium
model with two analysts who strategically initiate coverage and choose their forecasts
depending on whether only one or both initiate coverage. The crucial feature of the model is
that they both exhibit career concerns in the case that the peer analyst also initiates coverage.
As is documented by theoretical and empirical investigations on career concerns, analysts are
assumed to herd in their forecasts in the presence of another analyst who also follows a
particular firm.
Analysts’ Career Concerns, Forecast Biasing and Firm Coverage Selection
42
The paper shows that analyst career concerns have a non-monotonic effect on analysts’
coverage initiation strategy and that the likelihood of coverage is a decreasing function of
reputational concerns if the average private earnings information precision of the analysts is
sufficiently large and if the reward response to analyst forecasts is low. It is possible that this
association, which is the result of the tradeoff between two distinct effects, namely the
standard deviation effect and the peer effect, is most likely to be observed with analysts who
are affiliated to large brokerage houses that decide on the coverage of low liquidity stocks.
The model also provides other highly relevant results. As reasoned by prior empirical
research, endogeneity exists with respect to liquidity and analyst following, where high
liquidity (here represented by a high reward response) increases the likelihood of coverage.
Moreover, the model shows two further results, which partly oppose prior research and
commonly held views. The first is that increased private earnings information precision
(which represents higher resource endowment and superior forecasting skills) does not
necessarily yield a larger likelihood of analyst coverage due to the existence of career
concerns. Second, I show that more information about the reward does not necessarily yield
more frequent following because of the information value of non-coverage of a potential peer
analyst.
There are several limitations of this paper, which arise mostly from the associated
mathematical complexity of the necessary theoretical structure. First and most notably is the
exogenous nature of analysts’ reward of coverage and, closely related to this, the market
consequences of coverage initiation. It is straightforward to argue that the endowment with
non-fundamental private information has pricing and thus reward implications as has been
claimed by prior empirical research (Branson et al. 1998, Irvine 2003, Das et al. 2006).
Second, I neither present a variant of the model in which there is asymmetric information
endowment and/or differential preferences across analysts, nor do I discuss a sequential
coverage initiation and/or forecast disclosure structure. Thus, several extension opportunities
of the developed framework exist which are left for future research.
Appendix (Paper 1)
Proof of Proposition 1
Parts of the proof of Proposition 1 are in the main text. However, some more clarifications
are needed. These are presented in the following four Lemmas.
Analysts’ Career Concerns, Forecast Biasing and Firm Coverage Selection
43
Lemma 1: The derivations of the conditional expectation and variance in the monopoly case
use the well-known formulae of the first two moments of a multivariate normal distribution
and can be written as follows:
and
. Plugging in these moments in condition and
rearranging yields the forecast in equation (4).
Lemma 2: The solution of the problem depicted in equation (5) uses the property that a sum
of normally distributed independent random variables is again normally distributed. Thus, we
can define and perform the same procedures as in the monopoly case.
The problem is rewritten to the following expression:
The first order condition of this expression with respect to is
, which can be rearranged to .
The conditional expectation and variance are
and , respectively. Imposing the conjectures yields
and . Since
the model assumes symmetry across analysts it follows that and that
. This property yields . Plugging this in the equation for
and solving for results in .
Lemma 3: The derivation of the conditional expectation of the utility of analyst in the
coverage initiation stage uses the standard formula of a folded normal distribution with a non-
zero mean. The condition in (7) can now be rewritten to
Analysts’ Career Concerns, Forecast Biasing and Firm Coverage Selection
44
.
Based on the property that this reduces to
.
To derive the threshold this condition must hold with equality, and since
due to symmetry the equilibrium condition reduces to
.
Lemma 4: For the uniqueness proof of the coverage initiation threshold it is sufficient to
prove monotonicity of in . The first order condition of with respect to after
some algebraic manipulations and by means of the definition of the variance of a truncated
standard normally distributed random variable reduces to
.
In order to establish that the first order condition is unambiguously positive it is necessary to
show that . Recall that it is assumed that the ex-ante utility of an
analyst in the monopoly case is positive. This utility is and
can be rewritten to a minimum level of , which is subsequently
imposed. In the next step is rearranged to
Analysts’ Career Concerns, Forecast Biasing and Firm Coverage Selection
45
.
The right hand side of this condition has the following properties:
and
.
is one limit of , if the right hand side is monotonically decreasing in . Since this is the
issue in question, it is sufficient to show that . After observation that as well as
are decreasing functions in can be imposed, which - after some algebraic
manipulations - yields the following condition:
It is important to note that .
With this property in mind it is a straightforward exercise to show that this condition holds
true for all . However, it shall be noted that may be positive or negative, whereas
is strictly negative. This proves the existence of the unique coverage initiation threshold
. ■
Proof of Corollary 3
The proofs of Corollaries 3 through 5 are performed by means of the implicit function
theorem. It is already known from the uniqueness proof that . Thus, every effect in
an exogenous variable , , is proportional (i.e., they have the same sign) to .
Corollary 3 captures the effects based on the information environment and endowment of
analysts. The first order condition with respect to , , can be written as follows:
.
Analysts’ Career Concerns, Forecast Biasing and Firm Coverage Selection
46
This condition is positive because and the overall effect is
negative, or , which proves (i).
The proof of result (ii) again starts with the direct effect:
.
This condition can be positive or negative due to the ambiguity of the term
, which is positive if . ■
Proof of Corollary 4
The first order condition of with respect to the reward responsiveness parameter is as
follows:
.
As is straightforward to see, the condition is positive which implies a negative relation
between and .
The first order condition with respect to the observable share of the reward is
. This condition can be positive or negative. However, a unique threshold
can be found in the reward constant , . Recall, that . Again is rewritten
as in Lemma 4 and plugged into the above first order condition, which results in
.
The limits of this rewritten first order condition with respect to are
and .
It follows from Lemma 4 that the latter condition is positive. To prove monotonicity, it is
sufficient to show that since . Thus, , where can
Analysts’ Career Concerns, Forecast Biasing and Firm Coverage Selection
47
be positive or negative. After algebraic manipulations and by means of the formula of the
variance of a truncated standard normally distributed random variable this condition is
rewritten to , which is
always positive. It follows that there must exist a unique threshold such that for
and for . ■
Proof of Corollary 5
The proof of Corollary 5 proceeds like the previous ones and begins with the first order
condition of with respect to :
.
The overall effect of with respect to is proportional to
. The limits of
with respect to a variation in are as follows:
and
. The former limit is always positive if
. Under this assumption the latter limit must be negative. Moreover,
, which is unambiguously negative. This establishes the existence of a
threshold . Moreover, can be shown to be always negative if . ■
Analyst Information Acquisition and the Informativeness of Forecasts and Managed Earnings
48
3. Analyst Information Acquisition and the Informativeness of
Forecasts and Managed Earnings
Chapter Abstract
Mixed empirical evidence exists on whether information provided by analysts such as
earnings forecasts complements or rather substitutes the information contained in corporate
earnings. In this paper I develop a model in which an analyst endogenously acquires costly
information to forecast the fundamental information contained in a subsequently released and
strategically manipulated earnings announcement. By means of this setting I show that the
analyst forecast fulfills two roles, an information role (i.e., a substitutive relationship) and an
interpretative role, i.e., it complements earnings in that the market uses the forecast to back
out a part of the reporting bias. Both roles are established through the incentives of the
manager: The information role of analyst information is present due to the assumption of an
uncertain price interest of the manager, whereas the interpretation role is established through
the manager’s incentive to meet or beat the analyst’s forecast. In a regression of share price
on earnings and the forecast it can be shown that a positive forecast response coefficient and
thus the dominance of the substitutive role of analyst forecasts is only obtained if information
acquisition costs are sufficiently low; otherwise the complementary relationship prevails.
Keywords: analyst forecasting, earnings manipulation, relative informativeness
JEL: D83, M41
Analyst Information Acquisition and the Informativeness of Forecasts and Managed Earnings
49
3.1. Introduction
Sell-side equity analysts are crucial for the supply of investors with information about a
firm’s financial performance. Beyer et al. (2010) show that analysts are the second most
important information source after the firm itself. Benefits of a larger analyst following are
manifold and range from a faster pricing process of firm information (e.g., Ayers & Freeman
2003, Gleason & Lee 2003) to better equity financing terms (e.g., Chang et al. 2006).
However, a long-lasting, mostly empirically driven debate exists as to whetther previously
disclosed analyst forecasts substitute or rather complement the informativeness of
subsequently released earnings announcements. In particular, Lang & Lundholm (1996),
Francis et al. (2002) and Frankel et al. (2006) provide evidence supporting the argument that
the informativeness of an earnings announcement is positively related to the price reaction to
an analyst earnings forecast, where this can be found either when the analyst disclosure is
preceded by or precedes firm disclosure. Contrary to the above mentioned complementarity
studies, Chen et al. (2010) address additional endogeneity problems in this context and
highlight an overall negative association between analyst reports and earnings
announcements, arguing for a pre-emptive rather than a complementing relationship. Their
results are consistent with the effects described in sequential disclosure models (e.g.,
Holthausen & Verrecchia 1988, Kim & Verrecchia 1991, Demski & Feltham 1994). Under
which conditions a complementing or a substitutive association dominates is the research
question of the present paper.
By means of a theoretical model with an analyst who endogenously chooses his information
acquisition effort and a firm manager who manipulates earnings based on an uncertain price
interest and meet-or-beat analyst forecast incentives (henceforth “MOB incentives”) I show
that the analyst’s information takes two roles in the presence of endogenous earnings
management: First it provides fundamental information and competes with the earnings
announcement in the firm valuation process, which represents a substitutive or pre-emptive
association (i.e., information role). Further, the information is also utilized by the market to
rule out a part of the reporting bias contained in earnings, which yields a complementary
relationship (i.e., interpretation role). It is shown that both roles can adversely dominate the
valuation process under certain conditions: If information acquisition costs are low, then the
pre-emptive relationship dominates, whereas when these are high the analyst forecast mainly
complements the pricing of reported earnings.
Analyst Information Acquisition and the Informativeness of Forecasts and Managed Earnings
50
Besides providing some guidance for the mixed empirical evidence, I also contribute to the
literature on analyst information acquisition and communication. Hayes (1998) establishes
the claim that trading commission incentives affect the production of information. She finds
that analysts are more likely to initiate firm coverage and acquire information if the firm in
question is financially successful. This is even triggered in the presence of short selling
constraints. Fischer & Stocken (2010) use a cheap talk structure to show how an analyst
information acquisition strategy is affected by publicly available information prior to an
analyst’s coverage initiation. They show that public information may deter analysts from
covering a firm due to the existence of credibility costs. Contrary to the mentioned papers, I
consider an ex-ante setting to highlight the reliance of an analyst’s information acquisition
efforts on the uncertain parts of the reporting bias contained in future earnings. It is shown
that analysts decrease the depth of firm coverage (i.e., they acquire less information) if there
is less earnings uncertainty and less uncertainty about the incentives of the manager. This is
generally in line with the observations of Barth et al. (2002), who argue that analysts would
be drawn to uncertainty.
Another field of contribution is the interaction between a strategic analyst and a strategic firm
manager. As is argued by the archival studies by Lys & Sohn (1990), Ivkovic & Jagadeesh
(2004) and Asquith et al. (2005), analyst forecasts are highly relevant before an earnings
announcement because the announcement is jointly processed with the forecast. In particular,
forecasts are believed to provide an additional source of earnings expectation (O’Brien 1988),
which in turn incentivizes the manager to try to meet-or-beat the analyst forecast by means of
an earnings bias because this is rewarded with a market premium (e.g., Kasznik & McNichols
2002, Matsumoto 2002, Bhojraj et al. 2009). Hence, an endogenous relationship exists
between analysts’ forecasting decisions and managers’ reporting decisions. Theoretical
insight into this endogenous interrelation is provided by Beyer (2008). In her model the
analyst faces the decision of whether to revise a forecast based on more precise private
information about natural earnings or to withhold the information in order to not motivate
earnings management. Contrary to Beyer (2008), the primary focus of my model is not the
voluntary revision decision, but the information gathering of the analyst, given that the
manager manipulates natural earnings driven by both MOB incentives and an uncertain price
interest, where the latter is not considered by Beyer (2008). Contrary to this paper and those
of Fischer & Verrecchia (2000) and Ewert & Wagenhofer (2005) I show that increases of
marginal reporting bias costs (e.g., through larger litigation costs) may not increase the
Analyst Information Acquisition and the Informativeness of Forecasts and Managed Earnings
51
Market processes
earnings in
conjunction with
analyst forecast and
sets the market price
accordingly
Manager observes
natural earnings and
the analyst’s forecast
and chooses a level of
bias; manipulated
earnings are disclosed
Analyst disclosures
information
Analyst acquires
information in order to
maximize his expected
reputation
credibility of and consequently the price responsiveness to reported earnings in the presence
of MOB incentives.
The paper proceeds as follows: In Chapter 3.2. I present the economic setting, which is then
solved in the form of a linear, unique equilibrium in Chapter 3.3. The subsequent chapter
provides some comparative statics and Chapter 3.5. summarizes and concludes.
3.2. Economic Setting
In this chapter I develop a rational expectations equilibrium model in which an analyst
forecasts a managed earnings announcement. The analyst chooses his level of information
gathering based on forecast error minimization to maximize his long term reputation. The
manager observes the forecast and natural earnings and chooses a level of bias that optimizes
her objectives to influence the share price and to meet or beat the analyst forecast. Hence the
properties of the analyst’s earnings forecast and of reported earnings are dependent on each
other through the incentives of analyst and manager. The sequence of events is presented in
Figure 3.
A corporate manager observes “natural earnings” which are assumed to be normally
distributed with zero mean and precision and the analyst earnings forecast . Subsequent to
the observation of the two information signals, he chooses a level of bias, , before he
further discloses the manipulated earnings announcement . The bias maximizes the
following utility function:
. (1)
captures the direct marginal disutility of biasing and represents the manager’s
uncertain interest in the price resulting from, for example, stock or stock option-based
Figure 3: Sequence of Events (Paper 2)
Analyst Information Acquisition and the Informativeness of Forecasts and Managed Earnings
52
compensation.51
However, the price manipulation incentive is assumed to be normally
distributed with mean zero and precision . The mean of the uncertain price interest of the
manager is assumed to be zero without loss of generality.52
An important feature of the model
is the incentive parameter , which captures the manager’s MOB incentive. The function
is quadratic to facilitate the computations and to obtain a closed form solution. The manager
incurs a cost not only when he misses the forecast but also when he exaggerates too much.
This follows Beyer (2008) and is based on the idea that the clean surplus condition must be
fulfilled and that the bias of this period has to revert back in later periods. Meeting the
market’s expectations, which are present through the analyst’s forecast, is assumed to be a
core incentive for firms with a strong interest in their financial market performance. Prior
empirical research shows that firms that meet the market’s expectations are rewarded with a
premium but also have to deal with overly optimistic expectations (e.g., Kasznik &
McNichols 2002, Matsumoto 2002, Bhojraj et al. 2009).
In the first stage, prior to the reporting decision of the manager, the analyst decides whether
he wants to follow a firm and how much information he gathers to maximize the forecast’s
accuracy. Thus, the analyst wants to predict the manipulated report of the manager, who in
turn includes the analyst’s information through the bias in his signal. The analyst publishes a
forecast , where is normally distributed with mean zero and (endogenously
chosen) precision .53
To obtain the optimal precision, the analyst solves optimization
problem
, (2)
where denotes the cost of information gathering. The first part of the analyst’s
objective function benchmarks the accurateness of his forecast with the managed earnings
precision and induces the analyst to collect information. The minimization of forecast errors
relative to a benchmark is a widely accepted way to model reputation incentives in analytical
models on analyst disclosure decisions (e.g., Lim 2001, Fischer & Stocken 2010). The reason
for assuming this association is that higher forecast accuracy should yield better ranking
51
The assumption of an uncertain price interest is in the spirit of Fischer & Verrecchia (2000). 52
All random variables are assumed to be stochastically independent and all distributional assumptions are
common knowledge. 53
The large economic literature on analyst forecasting argues that analysts would always include a bias in their
forecasts. However, the emphasis of this paper lies on the analyst’s information acquisition activity rather than
on his biasing decision. If a notion of biasing would be considered in the discussed setting, it would represent an
adjustment for the private information’s inaccuracy rather than a distortion. The economics discussed in this
paper remain unchanged in such a setting and the results are qualitatively similar.
Analyst Information Acquisition and the Informativeness of Forecasts and Managed Earnings
53
positions, which in turn shapes an analyst’s compensation in a positive way (e.g., Stickel
1992, Groysberg et al. 2011).
After the disclosures of analyst and manager, a risk-neutral, perfectly competitive market
values the firm at its conditional expectation of natural earnings:54
. (3)
This market price not only incorporates every available piece of information but also
rationally conjectures the biasing strategy of each manager type, , and the
information gathering strategy of the analyst, , or .
Moreover, the conjectures are assumed to be self-fulfilling.
3.3. Model Solution and Equilibrium
In this chapter I solve the model and prove the uniqueness of the equilibrium solution. For
this purpose I introduce the following linear conditions for the report’s bias and the price,
respectively:
(4)
and
. (5)
The model is solved by backward induction and thus starts with the pricing. Since this is a
straightforward exercise, it is omitted. However, prior to the market pricing the manager
conjectures the impact of earnings on the price and solves problem (1). The following
expression for the reporting bias can be obtained:
. (6)
It shall be noted that the term represents the analyst forecast’s error. Applying the
linear conjecture defined in equation (4) results in and .
Using these parameters to solve for the price yields the following pricing function:
.
Imposing the linear conjecture of (5) on this expression yields
54
An intermediate pricing stage in which only the analyst forecast is processed is irrelevant for the proposed
model and is thus omitted.
Analyst Information Acquisition and the Informativeness of Forecasts and Managed Earnings
54
, (7)
and
. (8)
It is straightforward to see that cannot be explicitly solved but only implicitly presented
and that is dependent on . Moreover, it can be noted that both parameters are influenced
by . In the next and last step the analyst’s information acquisition decision solves the
following optimization problem in which the expectation of the forecast error is already
presented in a solved form:
.
Since is a function of , the implicit function theorem is applied to obtain the first order
condition of with respect to . The resulting expression can be simplified by using the
property in (7) and the function can be rearranged to obtain equilibrium condition
, (9)
where . The uniqueness of the obtained solution depends on the
uniqueness of and , which are both implicitly defined by conditions (7) and (9),
respectively. In the Appendix the existence of the unique equilibrium is proven and it is
shown that and are jointly monotonic. Proposition 1 summarizes the equilibrium.
Proposition 1: There exists a unique, linear equilibrium in which and , which
is defined by the pricing parameters in (7) and (8) conjectured by (5), the reporting bias
conjecture by (4), where the parameters are and , and the
information acquisition effort defined in (9).
Proof: The proof is in the Appendix.
3.4. Analyst Information Acquisition and the Informativeness of Managed
Earnings
In this section I present some comparative statics and properties of the above developed
equilibrium solution. In doing so, I will especially point out the interrelation between the
price responsiveness to manipulated earnings ( ) and the analyst’s level of information
acquisition ( ) in order to forecast the fundamental information contained in earnings. The
Analyst Information Acquisition and the Informativeness of Forecasts and Managed Earnings
55
discussion starts with a general statement on the relation between analyst information
acquisition and the price-earnings relation .
Remark 1: (i) The price-earnings relation decreases in the information acquisition effort
, or . (ii) The level of information acquisition increases in the price-earnings-
relation , or .
Remark 1 (i) summarizes the observation that the price responsiveness to earnings decreases
in the analyst’s information precision. This is a standard result obtained through Bayesian
updating and well-known from prior literature (e.g., Holthausen & Verrecchia 1988, Kim &
Verrecchia 1991, Demski & Feltham 1994). However, since the earnings response coefficient
is also contained in the reporting bias (Fischer & Verrecchia 2000), a decrease of the
coefficient also decreases the manager’s incentive to manipulate earnings. Hence, this is in
line with Yu (2008), who shows that a greater analyst coverage (and thus a larger aggregate
) decreases the manager’s incentive to manage earnings based on his price interest.
However, Remark 1 (ii) states that an analyst acquires more information if earnings are more
value relevant, which generally establishes the main tension in the interaction between the
analyst, the manager, and the market.
This tension exists in the presented setting because the analyst’s fundamental information
acquisition is influenced by his prediction of the noise added by the earnings bias. Since the
latter is endogenous and a distinct part of the analyst’s objective function, he anticipates the
effect of additional information acquisition on the bias and considers it in choosing the level
of costly information gathering.55
This aspect of the model establishes the information role of
analyst forecasts and thus suggests a pre-emptive association between analyst information
and the informativeness of an earnings announcement (e.g., Chen et al. 2010). Furthermore,
the value relevance of earnings is also decisive for the manager’s bias such that an increased
information acquisition level also increases the precision of the earnings signal since it
decreases the magnitude of the bias in equilibrium.
However, the decision of the analyst shapes the reporting bias in a second way because of the
existence of MOB incentives: These serve as an additional source of biasing costs which are
imposed on the manager for not meeting the analyst forecast. In particular, this incentivizes
55
In general, this is similar to the analyst forecast manipulation mechanism developed in Lim (2001), because
the manipulation in his setting also directly influences the forecast’s precision. However, Lim (2001) considers
neither a strategic manager, nor a difference between natural and manipulated earnings, which influences the
strategic decision of an analyst in the way discussed in this paper.
Analyst Information Acquisition and the Informativeness of Forecasts and Managed Earnings
56
the manager to include the analyst forecast’s error into the bias. In the valuation process of
the market this additional source of noise in the reporting bias is partly ruled out since
earnings are jointly processed with the analyst forecast. This generally yields a
complementing role of the analyst forecast and is henceforth referred to as the interpretation
role of analyst information (e.g., Lang & Lundholm 1996, Francis et al. 2002, Frankel et al.
2006). In his decision to acquire information the analyst considers these two aspects, which
yields the behavior of the analyst (and the earnings response coefficient) summarized in
Corollary 1.
Corollary 1: The analyst’s information acquisition effort (the earnings response
coefficient )
(i) decreases (decreases) in the earnings precision ,
(ii) decreases (increases) in the precision about the uncertain price interest of the manager ,
(iii) decreases (increases) in the manager’s MOB incentive
(iv) and is ambiguous (is ambiguous) in the manager’s direct biasing costs .
Proof: The proof is in the Appendix.
The analyst’s information acquisition effort is shaped by a dependence on the manager’s bias,
where more uncertainty generally incentivizes the analyst to acquire more information, as is
evident by Corollary 1, parts (i) and (ii). This is in line with the empirical observation of
Barth et al. (2002), who argue that analysts would be drawn to uncertainty. However, these
two associations are obtained for different reasons: An increase in the earnings precision
directly decreases the earnings response coefficient, which in turn decreases the noisy part in
the reporting bias. In comparison to the analyst forecast, the earnings signal becomes more
precise, which discourages the analyst from collecting information. This is established
because the relative impact of the analyst on the earnings response coefficient decreases with
increasing earnings precision.
The second effect, namely that a lower uncertainty with respect to the manager’s price
interest yields a decreased analyst information acquisition level, stems from two partially
countervailing effects. First, the earnings announcement receives a larger weight in the
pricing, which in turn increases the endogenous part of the bias (see Corollary 1 (ii) for the
behavior of the earnings response coefficient). However, the second, dominant effect is
present through the expectations of the analyst: A decreasing uncertainty with respect to the
manager’s price interestedness overall decreases the magnitude of the noisy part of the bias.
Due to the multiplicative association, the overall association is such that increased certainty
Analyst Information Acquisition and the Informativeness of Forecasts and Managed Earnings
57
about the manager’s price incentives discourages the analyst from acquiring more
information.
The results of Corollary 1 (iii) on the behavior of the value relevance of earnings and the
analyst’s information acquisition effort with respect to the MOB concerns of the manager can
be explained as follows: The higher the weight on the MOB incentive relative to the direct
marginal costs of manipulation , the higher the weight on the analyst forecast’s error in the
earnings bias and the lower the weight on the (noisy) capital market part of the bias. In turn,
the lower the weight, the more value relevant are earnings since this part of the bias can be
ruled out by the market due to the publicity of the analyst forecast. However, the overall
noise of the earnings announcement decreases such that the analyst strategically countersteers
by expanding less effort.
Corollary 1 (iv) contains another interesting result: Contrary to the classical effect
documented by Fischer & Verrecchia (2000) and Ewert & Wagenhofer (2005) that biasing
costs (i.e., increased penalty for earnings manipulation) would increase the value relevance of
an earnings announcement, the proof shows that the presence of MOB incentives renders this
effect ambiguous. This is the case because the analyst observes an overall decrease of the
reporting bias and particularly a lower weight on the noisy price interest part, which directly
increases the precision of earnings relative to the forecast. As a reaction, the analyst cuts back
on his information gathering activities to outbalance a part of the increased earnings
information precision. Unfortunately, due to the complexity of the model no clear cut
threshold values can be found for which the conditions are unambiguous. However, it can be
stated that the earnings response coefficient may decrease and the information acquisition
effort may increase in the biasing costs if both are already very large.
Another interesting feature of my model is that the forecast response coefficient can be
either positive or negative. This is due to the existence of the manager’s MOB incentive
because he automatically includes the analyst forecast’s error in his bias. The joint processing
of forecast and reported earnings enables the market to rule out a part of the reporting bias
(namely the one that is caused by the presence of MOB incentives). This yields a negative
part in the coefficient and establishes the interpretation role of analyst information. The
positive part of the coefficient evolves naturally because the analyst’s forecast is a
fundamental information source for the market. The next corollary is devoted to discussing
the two roles of the analyst forecast in the presented model by means of the evident
ambiguity of the forecast response coefficient .
Analyst Information Acquisition and the Informativeness of Forecasts and Managed Earnings
58
Corollary 2: There exists a unique threshold such that if and
if .
Proof: The proof is in the Appendix.
The forecast response coefficient best represents the two roles of the analyst forecast in the
pricing of earnings: On the one hand the analyst provides information to the market which
pre-empts the information content of earnings; on the other hand the forecasting information
imposes an additional cost on the manager to fall short of the analyst forecast. This in turn
leads to the situation that the manager incorporates the forecast error of the analyst into
reported earnings. In conjunction with the analyst forecast, the market is able to infer a part of
the reporting bias and is thus able to set the price such that the earnings report is more value
relevant. It is shown by Corollary 2 that the sign of the forecast response coefficient, and thus
whether the interpretation (negative sign) or the information role (positive sign) dominates
depends on the analyst’s costs of information acquisition: If costs are low (high) the
association between the relative informativeness of earnings and analyst forecast is
complementary (substitutive).
By means of this result I am able to shed some light on the mixed evidence presented by
several empirical studies on the role of analyst information for the informativeness of
earnings information: Lang & Lundholm (1996), Francis et al. (2002), and Frankel et al.
(2006) provide empirical evidence supporting a complementing association between earnings
and forecast value relevance, whereas Chen et al. (2010) focus on the involved endogeneity
problem and show substitutive results. However, under the assumption of bilateral
endogeneity, as has been claimed by Chen et al. (2010) the results can be reconciled to the
presented model’s properties. The result contained in Corollary 2 suggests that a
predominantly complementary association can exist (a) if the manager has MOB incentives
and (b) if analyst information acquisition costs are sufficiently high.
3.5. Conclusion
In this paper I highlight the interdependence of an analyst’s decision to acquire information
based on reputation incentives and a manager’s decision to manipulate earnings based on an
uncertain price interest and the incentives to meet-or-beat the analyst’s forecast. The model’s
purpose is to provide theoretical guidance to reconcile and understand the mixed empirical
evidence on the association between the informativeness of analyst information and the
informativeness of (potentially manipulated) earnings announcements. It is argued that the
forecasting information serves two roles, where one is the information role (suggesting a
Analyst Information Acquisition and the Informativeness of Forecasts and Managed Earnings
59
substitutive relationship) and the other is the interpretation role (supporting a complementary
relationship). It is shown that the latter is established through the existence of MOB
incentives since the manager includes the analyst forecast’s error into the reporting bias,
which is subsequently ruled out by the market and yields a negative sign in the pricing
equation.
By means of the developed model it is moreover shown that the dominance of the
information vs. the interpretation role crucially depends on the analyst’s costs of information
acquisition: If these are low then the information role dominates and yields a positive forecast
response coefficient (i.e., a pre-emptive association), where the opposite is true for high
information acquisition costs (i.e., a complementary relationship). Moreover, it is shown that
analysts generally acquire more information if there is more uncertainty in the setting or if
MOB incentives are not very distinct. Contrary to existing theories on earnings management,
I additionally show that increases of marginal biasing costs may not increase the credibility of
and consequently the price responsiveness to reported earnings in the presence of MOB
incentives.
Appendix (Paper 2)
Proof of Proposition 1
The uniqueness proof of the equilibrium summarized in Proposition 1 starts with defining the
following two functions which follow from rearranging equations (7) and (9):
and
.
The proof of joint monotonicity is performed by the derivation of the determinant of matrix
. The derivation of the first order conditions is a tedious but
straightforward exercise and yields the following solution after algebraic manipulations by
means of equations (7) and (9):
.
Analyst Information Acquisition and the Informativeness of Forecasts and Managed Earnings
60
The derivation of the determinant yields .
Thus, and are jointly monotonic. Moreover, observe that the implicit definition of in
equation (7) suggests that must be strictly positive if is non-negative, which is ruled out
by assumption. In particular, must be in the interval . For deriving the limits let
in the right hand side of equation (7) approach zero and positive infinity respectively, or
and . This can be done because is
monotonic in , which can also be proven by means of the implicit function theorem
( ). Moreover, it is straightforward to derive the limits of
by means of : since is a finite
expression and since . Together with the joint
monotonicity property this proves the existence of unique levels of and . ■
Proof of Corollary 1
The proof of Corollary 1 applies the implicit function theorem with two equilibrium
conditions. In particular, the effect of changes in an exogenous variable can be derived by
solving the following system of equations:
.
The solutions can be obtained by means of Cramer’s rule and can be presented as follows
(after some algebraic manipulations):
,
,
,
,
Analyst Information Acquisition and the Informativeness of Forecasts and Managed Earnings
61
,
,
,
.
In addition, the first order conditions with respect to the information acquisition cost are as
follows:
and
.
These will be needed for the proof of Corollary 2. ■
Proof of Corollary 2
The sign of can be shown to depend on the magnitude of the marginal information
acquisition costs . Since and it is sufficient to provide the
behavior of in . First, note that and that
. Second, the first order condition of with respect to is
.
It follows that there must exist a unique level such that if and
if . ■
Discretionary Analyst Coverage and Capital Market Characteristics
62
4. Discretionary Analyst Coverage and Capital Market
Characteristics
Chapter Abstract
In this paper I develop a model with an equity analyst and two groups of investors competing
over information in a perfectly competitive capital market, one of which the analyst may
provide private information to if he decides to initiate coverage. Thus, the analyst serves as a
potential source of information asymmetry among investors, which in turn is thought of as a
source of stock trade by traditional asset pricing models. After observing fundamental
information the analyst, incentivized by a tradeoff of trading volume generation and
reputational concerns, establishes a coverage policy in which coverage is always initiated
when reputational costs are sufficiently low or when the forecasting information is
sufficiently extreme and when reputational costs are large. The main contribution of the
perfectly competitive market setting is to show that the likelihood of analyst coverage is
shaped in a non-monotonic way (a) by the (potential) market penetration of his information
and (b) by the risk aversion of investors. In an extension with an imperfectly competitive
market I show that analyst coverage is less likely for stocks with lower market liquidity.
Keywords: selective disclosure, institutional ownership, market liquidity
JEL: D82, G20
Discretionary Analyst Coverage and Capital Market Characteristics
63
4.1. Introduction
Sell-side equity analysts provide fundamental information to their clients by means of
forecasts and other information reports such as recommendations or target prices and thus
serve an important information role in modern capital markets (e.g., Gleason & Lee 2003,
Frankel et al. 2006). Prior theoretical as well as empirical research has claimed that the
institutional setting in which analysts are embedded motivates them to (discretionarily)
release reports that stimulate trade on a stock – especially when analysts are affiliated to
brokerage houses (e.g., Cowen et al. 2006, Groysberg et al. 2011). Prior theoretical research
has had a strong focus on highlighting the relevance of analysts’ tradeoff of strategic trading
commissioning incentives with reputational costs for the properties of their forecasts (Jackson
2005, Beyer & Guttman 2011), whereas it is not completely clear how these objectives
impact their coverage policy.56
In particular, it is yet to be studied how the characteristics of
the financial market and its participants shape an analyst’s decision to initiate or abandon the
coverage of a stock if the analyst is interested in stimulating trade by means of providing
private information.
Analyst firm coverage is of high general relevance for the covered firms because this is
associated with various benefits. In particular, existing empirical evidence shows that a larger
number of analysts following a firm yields an accelerated pricing process of earnings
announcements (Ayers & Freeman 2003, Barth & Hutton 2004, Piotroski & Roulstone 2004),
better equity financing (Chang et al. 2006, Bowen et al. 2008) or a more successful initial
public offering (Rajan & Servaes 1997, James & Karceski 2006). Further, firms seem to be
aware of these benefits and hire paid-for analysts to provide firm coverage (Kirk 2011).
In this paper I develop a rational expectations equilibrium model which utilizes the logic
developed in the voluntary disclosure literature and applies it to an analyst setting. In
particular, I consider the case in which an analyst decides on whether or not to initiate
(abandon) coverage and release (withhold) an exogenously given earnings forecasting signal
to a subgroup of risk averse investors (henceforth referred to as “informed”). The other
investor group (henceforth referred to as “uninformed”) obtains a noisy measure of the
forecasting signal through the observation of the share price.57
Furthermore, the analyst is
assumed to serve as the only source of private information and thus information asymmetry
56
The only exception is Hayes (1998), which will be discussed below. 57
The results of this paper are also applicable to the setting in which analysts stop the coverage of a firm. The
evidence presented by Rao et al. (2001), Tucker (2010), and Mola et al. (2012) documents that the situation in
which analysts stop the coverage of a firm occurs frequently. However, for convenience I use either “coverage
initiation” or “likelihood of analyst coverage” for the remainder of this paper.
Discretionary Analyst Coverage and Capital Market Characteristics
64
but in turn incentivizes all investors in the market to trade a firm’s stock (e.g., Grossman &
Stiglitz 1980, Kim & Verrecchia 1991). In order to maximize his utility the analyst
discretionarily decides on whether or not to disclose an exogenously given forecast. In this
decision he trades off the incentive to stimulate informed trade in the firm’s stock with the
objective to minimize reputational costs (caused by the inaccuracy of his forecast).58
If
reputational costs are significantly high, the natural outcome of such a setting is that an
analyst discloses only certain realizations of forecasts, namely the ones that are sufficiently
“extreme”, in order to stimulate trade. This corresponds to the argument brought up by
McNichols & O’Brien (1997) that analysts would self-select in their coverage to provide only
a subset of all available private information realizations. The selectivity of disclosure
represents the “likelihood of analyst coverage” in the developed model here. This definition
of analyst coverage is generally in line with a large number of empirical studies that define
analyst coverage as equivalent to the observability of analyst information within a certain
time period (e.g., Bhushan 1989, O’Brien & Bhushan 1990, Ackert & Athanasassakos 2003,
Ljungqvist et al. 2007). However, the concept used here of analyst coverage applies an ex-
post point of view, whereas prior theoretical research has exclusively focused on an ex-ante
perspective (e.g., Hayes 1998, Arya & Mittendorf 2007, Fischer & Stocken 2010). In other
words, the inherent presumption of the existing theoretical literature is that an analyst would
commit to disclose every realization of fundamental information, even though – and this is
shown in the current paper – it might not optimize his utility.59
The basic setting, in which I assume that investors are price takers, contributes to the
literature by supplementing our understanding of the dependence of analysts’ coverage
behavior on the properties of the capital market of a stock through the strategic incentive to
stimulate trade. The most closely related paper is that of Hayes (1998), who develops a
theoretical model with an affiliated analyst who provides financial information to one
investor. She shows that the properties of the firm as well as an analyst’s incentives are
decisive in the analyst’s information acquisition and coverage decision. In particular, she
provides theoretical results showing that financially well-performing stocks are more likely to
be covered, wherby this effect is triggered by the presence of short selling constraints.
Contrary to Hayes (1998) and most other theoretical papers on the subject of analyst coverage
58
Reputational costs can be redefined as an analyst’s proprietary costs and, as is known from the voluntary
disclosure literature, such “proprietary costs” can be crucial in the decision of an information sender to provide
information to a recipient (e.g., Verrecchia 1983, Wagenhofer 1990). 59
Such a perspective is supported by a large set of empirical studies analyzing the frequently occurring event
that analysts stop the coverage of a firm (e.g., Rao et al. 2001, Mola et al. 2012).
Discretionary Analyst Coverage and Capital Market Characteristics
65
initiation, I disentangle the information acquisition and the forecast disclosure decisions of an
analyst and focus on the latter (e.g., Mittendorf & Zhang 2005, Arya & Mittendorf 2007,
Fischer & Stocken 2010). However, Hayes (1998) considers a highly abstracted trading and
pricing process, in which a single investor chooses to revise his stake in the firm in response
to the analyst’s information under the assumption of an exogenously given share price.
Contrary to Hayes (1998) and in line with the setting of Beyer & Guttman (2011) – who
indicate the dependence of the earnings forecast bias on the trading volume objective – I
assume the existence of a capital market with multiple investors in which the analyst, who is
interested in stimulating informed trade, may decide to disclose a forecast that causes private
information asymmetry among investors. In the considered market not only is the share price
endogenous, but also the incremental information that is gleaned from it by uninformed
investors. Contrary to Beyer & Guttman (2011) I assume the properties of the disclosed
forecasting signal to be exogenously given and focus on the likelihood of the provision of
information by analysts.
By means of the competitive setting I am able to show that an analyst’s coverage decision is
non-monotonic in the characteristics of the capital market. This non-monotonicity is based on
the well-known tension in market models with revealing prices, namely that the degree to
which informed investors trade on their private information influences the usefulness of the
share price for uninformed investors’ demand choice. This latter aspect yields a residual
uncertainty from the viewpoint of the analyst since he knows the fundamental information
upfront but not the realization of the random liquidity demand. Depending on this tension and
the existing residual uncertainty, I provide the result that analysts are less likely to cover a
firm with increasing market penetration of their information (i.e., the fraction of investors
they supply with private information) if their reputational costs are sufficiently large and (a)
if they already reach the majority of traders investing in the stock or (b) if they consider a
firm with a very revealing market price but know that they will have a relatively low
information outreach. In all other cases, increasing market penetration by an analyst yields an
ex-ante higher likelihood of analyst coverage. A second result is obtained from analyzing the
dependence of the likelihood of analyst coverage on the degree of risk tolerance of investors.
It is shown that the likelihood of analyst following increases in the risk tolerance in most
situations. However, in the case in which the market price is very useful for the updating of
uninformed investors and if reputation is at stake, increased risk tolerance may even deter
analyst coverage.
Discretionary Analyst Coverage and Capital Market Characteristics
66
In an extension of the basic setting, I relax the assumption of perfect investor competition
over information by changing the assumption on the composition of investors: In this setting I
assume the existence of only a few (risk-neutral) informed investors instead of a large
number of (risk-averse) traders. These investors are aware that their trading order has a
positive influence on the share price and they conjecture this in their trading decision. The
resulting setting is an imperfectly competitive market, as discussed by papers such as Kyle
(1989) or Lambert et al. (2011). Several empirical papers argue that the information demand
of large traders such as institutional investors motivates analysts to provide information (e.g.,
Bhushan 1989, El-Gazzar 1998). O’Brien & Bhushan (1990) and Ackert & Athanasassakos
(2003) point to the involved endogeneity because analysts are drawn to stocks for which they
can stimulate trade to generate commissions for the affiliated investment bank or brokerage
house. An aspect that has not been considered by these studies is the fact that the presence of
large informed traders impairs the market liquidity due to their impact on prices. By means of
the framework developed here I am able to show that the likelihood of analyst coverage is
lower if informed institutional demand has a higher influence on the share price. I thus
provide the theoretical result that analysts are less likely to cover a firm if market liquidity is
lowered by the presence of large stockholders such as institutional investors.60
This paper proceeds as follows: Chapter 4.2. establishes the economic setting. In Chapter 4.3.
the model is solved under the assumption of a perfectly competitive capital market and the
unique discretionary coverage initiation equilibrium is proven. Comparative statics are
discussed in Chapter 4.4. In Chapter 4.5. I relax the assumption of perfect investor
competition over information and derive the unique equilibrium, which is subsequently
discussed. Chapter 4.6. discusses the results and concludes.
4.2. Economic Setting
In this section I describe the economic setting of the one-shot game between an equity analyst
and two groups of investors . The sequence of events, which is also summarized in
Figure 4, is as follows: Initially, the analyst is endowed with an exogenously given earnings
forecasting signal , where earnings and estimation error are normally
distributed with mean zero and precisions and , respectively.61
The analyst, whose
objective it is to trade off the maximization of absolute informed trading with the
minimization of reputational costs, decides whether he discloses his earnings forecast to
60
Beyer et al. (2010) state that the causal relationship between analyst following and market liquidity remains
unclear. Therefore, this paper gives some insight on this subject. 61
The assumption of a zero mean of earnings is without loss of generality.
Discretionary Analyst Coverage and Capital Market Characteristics
67
The analyst observes
the realization of the
forecasting signal
Both and
formulate their
demand orders, the
liquidity demand is
realized and the share
price is set accordingly
The group
observes the analyst
forecast in the case of
coverage
The analyst decides
whether or not to
initiate coverage
The analyst gathers
information about a
firm’s forthcoming
earnings
investor group (henceforth referred to as “informed”), and thus creates private
information asymmetry among investors or withholds his information. 62
The informed
investors trade on the analyst’s information, whereas “uninformed investors” infer
some information from the share price and also choose a demand order.63
The subgroup of potentially informed investors is of size , whereas group
consists of investors. Both groups of investors are assumed to consist of a very large
number of members (i.e., countably infinite) such that every individual investor, informed or
not, takes the price as given.64
The overall number of investors is denoted by . All
investors in the proposed setting are assumed to have a non-random initial endowment of the
firm’s shares, which is normalized to zero without loss of generality. Moreover, they are also
assumed to be risk-averse with identical constant absolute risk tolerance and they choose
their demand order such that their negative exponential utility function is optimized, or
, where denotes individual investor ’s wealth.65
For the sake
of simplicity I assume that investors try to conjecture earnings instead of firm value.66
Additionally, and as is standard in noisy rational expectations market models, I assume the
existence of liquidity traders, whose aggregate demand order is random and normally
distributed with mean zero and precision . Thus, when uninformed investors observe the
price they receive a noisy estimate of the analyst’s forecast, where this incremental
information signal is represented by information signal . This signal is derived
from the conjecture with respect to the share price. In the basic setting I impose the following
linear conjecture on the share price: . Thus, . Moreover, all random
62
Throughout this paper the act of forecast disclosure is synonymous with coverage initiation. 63
The dashed part of the timeline represents the exogenously assumed information acquisition phase. Moreover,
after the formation of the price, earnings are publicly disclosed and the forecast error of the analyst is realized. 64
This assumption will be relaxed in Chapter 4.5. 65
A model variant that distinguishes between the risk tolerances of informed and uninformed investors yields
qualitatively similar results. 66
A version with firm value instead of earnings is more tedious and yields qualitatively similar results.
Figure 4: Sequence of Events (Paper 3)
Discretionary Analyst Coverage and Capital Market Characteristics
68
variables are independent from each other and their distributional assumptions are common
knowledge.
The assumption that the information provided by the analyst is private rather than public is
identical to the one imposed by the work of Beyer & Guttman (2011) and can be derived
from the existence of fees that investors have to pay in order to obtain the information from
the analyst, where these are not explicitly modeled either in Beyer & Guttman (2011) or in
the current setting. Further, an analyst who is interested in the generation of trading volume
has an implicit incentive to limit the availability of his information to a subgroup of investors
since public information would not yield informed trading in the considered setting.
Additionally, since the analyst’s information would not yield abnormal returns for any
investor, this would also not increase his chances to be nominated for an equity analyst
ranking. However, the interest in the stimulation of trade as well as the relation between
abnormal returns and the nomination for rankings have both been shown to influence an
analyst’s objective, i.e., through his compensation contract (e.g., Dugar & Nathan 1995,
Cowen et al. 2006, Ljungqvist et al. 2006, Groysberg et al. 2011).
The focus of this paper lies on the analyst’s decision to initiate coverage of a firm and
provide an (unbiased) forecast . For this purpose I assume that the analyst trades off the
incentive to stimulate trading with the costs of reputational loss associated with a potential
inaccuracy of the provided forecast. There is a variety of empirical evidence supporting such
a tradeoff. A first stream of research investigates the association between forecast accuracy
and the incentives of an analyst and establishes the argument that forecast accuracy is
significantly associated with the reputational and career concerns of analysts. For example,
Stickel (1992) shows that members of the Institutional Investor All-American Research
Team, a group of analysts considered to be superior and who thus enjoy a very good
reputation, deliver more accurate earnings forecasts. Mikhail et al. (1999) provide evidence
that lower relative forecast accuracy yields a significantly worse career outcome. This effect
is also supported by the evidence of Groysberg et al. (2011) on the compensation schemes
used in large brokerage houses that also provide analyst services.
A second branch of literature argues that analysts, especially those with an affiliation to a
brokerage house, would have an incentive to stimulate trade to earn the affiliated bank
commissions (e.g., Cowen et al. 2006). Again, Groysberg et al. (2011) provide evidence that
the trading volume, which is generated by an affiliated analyst’s report, is an important factor
that drives his compensation. Several existing theoretical models recognize the tradeoff
Discretionary Analyst Coverage and Capital Market Characteristics
69
between the short term goal to generate trade and the long term goal to build a good
reputation (e.g., Hayes 1998, Jackson 2005, Beyer & Guttman 2011). However, they do not
consider the case of strategic coverage initiation with endogenous trading on a firm’s stock.
Following Beyer & Guttman (2011), the analyst’s utility in the case that he initiates coverage
is assumed to be of the form
, (1)
where is a positive constant and denotes the marginal costs of reputational damage from
being inaccurate.67
There are several consequences of the analyst’s objective function which need further
discussion. First and most foremost, the coverage initiation strategy of the analyst is such that
the analyst will disclose all realizations of if the marginal reputational costs are
sufficiently low, whereas he will be more selective in his decision if these are high. Under
these circumstances his strategy is symmetric around the ex-ante expected forecast, i.e., he
will always disclose realizations of which are in the intervals and , where
denotes the coverage initiation threshold. If the analyst decides against coverage initiation, no
trading occurs because informed and uninformed investors alike know that the analyst did not
decide to cover the firm. Hence, there is no information asymmetry in the market, which
implies that the analyst initiates coverage .68
Consequently, in the model
developed here analyst coverage is defined as the likelihood of the observability of analyst
information. This definition differs from earlier articles on analyst coverage: In the existing
literature the analyst always discloses the information he gathered by expending costly effort
(e.g., Mittendorf & Zhang 2005, Fischer & Stocken 2010). This is, however, in line with most
of the empirical studies investigating analyst following since they usually define analyst
coverage as equal to the observability of information (e.g., Bhushan 1989, O’Brien &
Bhushan 1990, Ackert & Athanasassakos 2003, Ljungqvist et al. 2007, Mola et al. 2012).
A further aspect is the exogenous nature of the forecasting signal and the assumption that
the analyst reports it truthfully. This case is considered by Beyer & Guttman (2011). They
67
The analyst’s objective function presented in (1) includes the expected value of absolute trading orders rather
than the difference between the trading orders of two rounds of trade. This corresponds to a setting in which
neither the analyst nor other sources of private or public information provide any information to investors before
the considered round of trade. This is a simplifying assumption to make the economic setting more tractable.
However, it follows the trade-based forecast bias setting considered by Beyer & Guttman (2011). 68
A similar perspective is taken by McNichols & O’Brien (1997), who argue that analysts would self-select to
initiate coverage and disclose information about successful firms. Contrary to their arguments, my model
implies that not only very positive but also very negative information is disclosed by analysts.
Discretionary Analyst Coverage and Capital Market Characteristics
70
provide analytical results which show that the well-known upward bias in analyst forecasts is
the result of their trading volume objective. However, the obtained bias in their model
remains only a (commonly known) function of the analyst’s private information. In other
words, informed investors are able to perfectly infer the private information from the
observation of the forecast. Ceteris paribus, the information content of the forecast is
constant, since investors can perfectly adjust for any level of distortion. Since I am interested
in the implications of a capital market orientation of an analyst for his coverage initiation
strategy, the assumption of truthful forecast disclosure is without loss of generality.
A last set of assumptions has to be imposed in order to obtain a linear market solution: First,
in the case that the analyst initiates coverage and discloses his information I assume that
uninformed investors are not able to distinguish whether the information impounded in the
price comes from the analyst or from another information source of informed investors.
Further, if uninformed investors cannot infer any information from prices, they know for sure
that the analyst did not initiate coverage.69
Consequently, in the non-coverage case informed
and uninformed investors do not trade, due to missing information asymmetry. Otherwise, the
analyst’s coverage initiation decision would have information value to uninformed investors
and they would use this information jointly with the incremental information signal inferred
from the price in the updating of their expectations.70
It follows that I neglect this
“information value of coverage initiation” which is documented by several studies (Branson
et al. 1998, Irvine 2003, Das et al. 2006). It can be reasoned that this information effect
undermines the (potential) information asymmetry in the market and should intuitively
trigger the association obtained here with respect to the likelihood of analyst coverage: If the
likelihood of coverage is already very low (i.e., threshold is high) only very extreme
realizations of would incentivize the analyst to disclose it. Since uninformed investors are
aware of this fact, they know, by observing the price at the same time, almost as much as
informed investors. Hence, informed investors trade less on the information provided by the
analyst, which should decrease ex-ante expected, absolute demand. This in turn discourages
the analyst further from providing information. Consequently, it is reasonable to assume that
the coverage information effect rather represents a second order effect, whereas I want to
69
Alternatively, one may assume that uninformed investors are naïve about the discretion of analysts. The study
of Malmendier & Shanthikumar (2007) supports such an assumption. They provide evidence showing that small
traders (such as the ones assumed in this paper) are notoriously naïve about the strategic behavior of analysts
and ignore any strategic intentions in their decisions. 70
A simple variant of the updating problem of the uninformed investor can be obtained upon request from the
author.
Discretionary Analyst Coverage and Capital Market Characteristics
71
focus on the first-order effects. As will be shown below, these turn out to be non-monotonic
in the exogenous variables. Thus, it can be followed that a non-linear pricing process would
only trigger the non-monotonicity of the primary effects.
4.3. Model Solution and Equilibrium
In this section I solve the proposed setting and prove the uniqueness of the equilibrium. The
solution of the market in case of coverage initiation follows standard procedures that are
frequently used in the rational expectations literature. Thus, the problem of each informed
investor is to solve the following maximization problem in the case of coverage initiation by
the analyst:
.
This problem is straightforward to solve since is a noisy measure of and thus neglected
by investors. Thus, the solution with respect to is simply
. (2)
Recall the assumption that the uninformed investors do not observe the coverage initiation
decision of the analyst but only the information contained in the price. Thus, the problem of
an uninformed investor can be presented as follows:
.
The optimization yields the following demand order after replugging in :
. (3)
The demand orders in equations (2) and (3) can now be plugged into the market clearing
condition and rearranged with respect to , which yields share price
.
The conjecture with respect to the price is now introduced to derive , which ultimately
yields the unique solution . Plugging this solution into the above price and the
uninformed demand order leads to the following final expressions:
and (4)
Discretionary Analyst Coverage and Capital Market Characteristics
72
(5)
where and . In a last
step, the analyst’s coverage initiation threshold is derived. The analyst initiates coverage
and discloses his private information signal whenever
. (6)
The conditional expectation of the absolute informed demand represents a folded sum of
normally distributed random variables. Thus, the derivation of the conditional expectation
applies the standard formula of the expectation of a folded normally distributed random
variable. The details are presented in the Appendix. As was already discussed above, the use
of folded conditional expectations in the described analyst game yields a situation in which
the analyst does not want to initiate coverage and thus withholds his information if
for certain values of . For the derivation of the threshold , inequality (6) must hold
with equality. The equilibrium condition can then be presented in the following form:71
. (7)
The first term is the result of the conditional expectation of the aggregate absolute demand
orders of informed investors, whereas the second term represents the conditionally expected
quadratic forecast error. In the Appendix it is shown that there exists a unique level if
and only if the marginal reputational costs are sufficiently large, or . Proposition 1
summarizes the unique linear equilibrium.
Proposition 1: There exists a unique coverage initiation and capital market equilibrium
which can be characterized as follows:
(i) the demand orders of investors and in the case of analyst forecast
disclosure are
and
, respectively;
(ii) the equilibrium price in the case of forecast disclosure is and
71
denotes the error function of a standard Gaussian.
Discretionary Analyst Coverage and Capital Market Characteristics
73
(iii) the analyst' s coverage initiation strategy is such that (a) he always initiates coverage if
and (b) there must exist a unique threshold if that is defined by equation
(7) in which , where the analyst initiates coverage if or if .
Proof: The proof is in the Appendix.
The equilibrium described in Proposition 1 has certain properties which are subsequently
discussed in Chapter 4.4.
4.4. Discretionary Analyst Coverage and Capital Market Characteristics
In this section I provide some comparative statics on the likelihood of analyst coverage. It
shall be noted that increases in the threshold are interpreted with a lower likelihood of
analyst coverage.
There are two main components of the equilibrium summarized by Proposition 1, which
codetermine the overall behavior of the conditionally expected absolute informed demand.
First, there is the (expected) degree to which an informed investor trades based on the
analyst’s information, i.e., the magnitude of the position an informed investor takes in the
stock. In general, the larger the position of informed investors, the higher the likelihood of
analyst coverage. Moreover, the second component comes from the assessment of the analyst
with respect to the residual uncertainty induced through the liquidity trader’s random
demand. This effect is a byproduct of the use of the absolute informed demand in the
objective function of the analyst: The random demand as a part of the endogenous price is
directly included in the informed investor’s demand order and thus also shapes the analyst’s
coverage behavior. If the residual uncertainty decreases, so does the willingness of the
analyst to provide information.
It shall be noted that the subsequently presented non-monotonic effects of the behavior of the
coverage initiation threshold with respect to the exogenous variables , and stem from
the varying information content of the price for the updating of uninformed investors.
Further, this underlying causality codetermines both already mentioned components, the size
of the informed trade and the residual uncertainty. The analysis begins by investigating the
behavior of the threshold with respect to the number of informed investors, given that the
overall number of investors is assumed to be constant, i.e., the market penetration or
dissemination of an analyst’s information.
Corollary 1: Given that the overall number of investors ( ) is constant, the likelihood of
analyst coverage is a non-monotonic function of the market penetration :
Discretionary Analyst Coverage and Capital Market Characteristics
74
(i) the threshold strictly decreases in iff and ;
(ii) in all other cases, there exists a threshold such that increases in if
and decreases in if .
Proof: The proof is in the Appendix.
Corollary 1 (i) shows that the likelihood of analyst coverage increases in the market
penetration of the analyst’s information when the absolute number of informed investors as a
fraction of uninformed investors is small and when prices are not very revealing due to a
relatively large noise caused by liquidity demand. In contrast, Corollary 1 (ii) provides the
result that in large market penetration cases or in situations with highly revealing market
prices the likelihood of analyst coverage increases in the market penetration only if the
analyst’s expected reputational costs are not too high.
The causal relationship underlying Corollary 1 can be divided into three parts. The first part
is the effect that the existence of more privately informed investors means that each
individual investor takes a smaller position in the firm because the overall advantage of being
privately informed decreases. This association is well-known and is discussed by the seminal
work of Grossman & Stiglitz (1980), who refer to this relationship as decreasing marginal
return on information. In the updating of the analyst this is represented by a monotonically
decreasing conditional expectation of informed demand with respect to for non-negative
values of (or ) and an opposite association for negative values of
. Thus, the absolute effect is a decrease of the conditional expectation of informed demand
and thus a lowering of the likelihood of analyst coverage (an increasing ).
Moreover, an additional effect is present in the model because an increase in the market
penetration also increases the weight on the conditional expectation of absolute informed
demand in the objective function of the analyst, which yields a decrease of the threshold.
However, the effect derived from the position of an informed investor in the stock may be
partly or fully offset by the change in the residual uncertainty: The more informed investors
there are, the more useful the price for the demand decision of each individual uninformed
investor becomes. This would yield a negative effect with respect to analyst coverage, but
since the individual demand order of an informed investor relies less on the obtained private
information, the behavior of the residual uncertainty is ambiguous. In particular, the residual
Discretionary Analyst Coverage and Capital Market Characteristics
75
uncertainty always increases in if the group of informed investors is at least as large as the
group of the uninformed (or ), or if the group is relatively small but the price
informativeness is large. In this case, which is formally summarized by Corollary 1 (ii), the
residual uncertainty of informed demand serves as a countervailing force to the other two
effects and thus induces a dependence of the direction of the overall relationship on the extent
of marginal reputational costs: If the marginal reputational damage caused by imprecision of
the forecast is sufficiently large (or ), the analyst is less likely to follow a firm and
provide information the higher the fraction of investors he directly influences with his
information.
The result in Corollary 1 is of high relevance due to its empirical implications since the
market penetration of individual analysts is in reality heterogeneous: Analysts affiliated with
large investment banks are believed to be superior (represented by the nomination for equity
analyst rankings) and their reports are frequently shown to have a larger market impact than
those of analysts from smaller, unaffiliated research agencies (e.g., Park & Stice 2000,
Gleason & Lee 2003). Due to the perception of superiority these analysts may reach a higher
fraction of investors with their information. Increases in the (already high) information
outreach may even deter analyst coverage ex-ante if reputational costs are sufficiently large.
In the subsequent corollary I present some results on the behavior of the likelihood of analyst
coverage with respect to the risk attitude of investors.
Corollary 2: The likelihood of analyst coverage is a non-monotonic function of investors’
risk tolerance :
(i) the threshold decreases in if ;
(ii) if , there exists a threshold such that increases in
if and decreases in if .
Proof: The proof is in the Appendix.
In Corollary 2 I state that the behavior of the threshold with respect to the risk tolerance
crucially depends on the noise introduced by the liquidity demand and thus on whether the
share price is very informative about forthcoming earnings. If this is the case then the
coverage likelihood additionally depends on the level of marginal reputational costs incurred
by the inaccuracy of the provided forecasting signal. This effect is constituted as follows: A
larger risk tolerance increases the willingness of informed investors to face larger uncertainty
Discretionary Analyst Coverage and Capital Market Characteristics
76
by taking a relatively larger position in the firm. This increase of informed trade in turn
increases the informativeness of the share price for uninformed investors’ demand orders,
which in turn demotivates informed investors from trading on their private information. It
follows that the residual uncertainty contained in informed demand orders is unambiguously
increased by an increase of risk tolerance in the market, whereas the conditional expectation
of the magnitude of informed demand may increase or decrease depending on the size of the
uncertainty of liquidity traders’ aggregate demand and moreover the reputational concerns of
the analyst.
At first glance, variations in the risk tolerance of investors and the effect on an analyst’s
likelihood of coverage may not seem empirically measureable. However, it is commonly
believed that different groups of investors have different degrees of risk tolerance and that
large traders such as institutional investors are able to diversify their portfolio such that their
risk attitude may be closer to risk neutrality than that of smaller investors (e.g., Bushee &
Goodman 2007). In this light an empirical investigation examining the effect of investor risk
tolerance on the coverage behavior of an analyst can represent the average degree of risk
aversion by using the (potential) ownership structure. In this sense the result contained in
Corollary 2 is partly in line with that presented by the empirical investigation of Bhushan
(1989), who documents a positive association between institutional ownership and analyst
following. However, as is noted by O’Brien & Bhushan (1990), this result has to be
interpreted with caution since Bhushan does not control for the potential endogeneity with
respect to the self-selective behavior of investors. Moreover, the aspect of reputation is not
included in his analysis, where this would be implied by Corollary 2 (ii).
As was shown by Corollaries 1 and 2, the role of the informativeness of prices for the
decision of uninformed investors is a crucial element for the likelihood of analyst coverage.
Hence, Corollary 3 shall be devoted to the analysis of the behavior of the analyst regarding
the noise induced by the liquidity demand.
Corollary 3: The coverage initiation threshold increases in for most cases.
Proof: The proof is in the Appendix.
A last result of the dependence of an analyst’s coverage strategy on capital market
characteristics is provided in Corollary 3: A more revealing price yields a decreasing
likelihood of analyst coverage since it discourages informed investors in taking a large
Discretionary Analyst Coverage and Capital Market Characteristics
77
position in the stock. However, this also undermines the residual uncertainty, except in cases
in which there is not a lot of fundamental uncertainty and the information asymmetry is
sufficiently beneficial for informed investors.72
Unfortunately, the result in Corollary 3 is a
rather theoretical one due to the difficulty associated with measuring the randomness of
demand orders that are not information based. Thus, so far the empirical literature does not
provide evidence on this relationship.
4.5. Extension: Discretionary Analyst Coverage and Market Liquidity
The equilibrium in Proposition 1 provides several novel empirical implications and leads us
to the conclusion that the characteristics of the capital market (or its participants) determine
the coverage behavior of analysts in non-trivial ways. The described market setting assumes
perfect investor competition over private information due to the assumption that the two
groups of investors consist of a very large numbers of members (i.e., they are both countably
infinite). This is a very restrictive assumption especially in an analyst setting because sell-
side equity analysts are assumed to have a strong preference for providing institutional
investors with information since these in turn nominate them for rankings (e.g., Ackert &
Athanassakos 2003, Ljungqvist et al. 2007).73
This type of investor exists in a much lower
number compared to individual speculators and is usually of a respectable size in terms of
capital endowment. Since the latter in particular shows a tendency to blocktrade, an
institutional investor certainly conjectures his (positive) impact on the share price in his
decision to choose his demand order. Prior theoretical research by Kyle (1989) and Lambert
et al. (2011) argues that this knowledge would impair the liquidity in the market. Ceteris
paribus, there exists an endogenous situation between analyst following, institutional
ownership and market liquidity. Despite the highly relevant empirical study performed by
Roulstone (2003) – who shows that a larger analyst following yields increased liquidity – the
direction of the involved endogeneity remains unclear.74
For the purpose of addressing the issue of the endogeneity associated with discretionary
analyst coverage and liquidity (which is referred to by the use of subscript in the
subsequent model setup) several changes in the economic setting have to be made. First, I
assume that the group that is provided with information by the analyst ( ) only consists of
72
I prove in the Appendix that only one case exists in which the threshold decreases in , that is (i) if the
analyst’s information is not very disseminated, (ii) if the forecasting precision is mediocre, (iii) if the earnings
precision is sufficiently large and (iv) if the marginal reputational damage is sufficiently small. 73
Groysberg et al. (2011) show that a higher rank is significantly associated with increased compensation. 74
In their review, Beyer et al. (2010, 328) conclude: “Further, the direction of causality, that is, whether analyst
following leads to changes in liquidity or changes in cost of capital for firms, or vice versa, is not clear.”
Discretionary Analyst Coverage and Capital Market Characteristics
78
a few large institutional investors. To simplify the situation I moreover assume that these
investors are risk-neutral and optimize their utility, , by choosing .75
Second,
the following conjectures are applied on informed demand and the share price:
and . The risk attitude and the optimization problem of
the uninformed investors remains unchanged, whereas the incremental information signal that
they observe is derived in the Appendix and is of the structure .
The described setting yields a unique discretionary analyst coverage and imperfect investor
competition equilibrium which is summarized in Proposition 2.
Proposition 2: There exists a unique imperfectly competitive capital market and
discretionary analyst coverage equilibrium:
(i) The capital market equilibrium consists of informed and uninformed demand orders,
prices and the incremental information of prices , , and
, respectively.
(ii) The analyst’s coverage initiation strategy is such that (a) he always initiates coverage if
and (b) there must exist a unique threshold if ,
where the analyst initiates coverage if or if .
Proof: The proof is in the Appendix.
As in earlier models of imperfect investor competition, captures the depth of the market
and can thus be interpreted as a measure for market illiquidity (e.g., Kyle 1985, 1989,
Lambert et al. 2011). Further, the effect of market illiquidity on the likelihood of analyst
coverage described in Proposition 2 (ii) is presented by Corollary 4.
Corollary 4: The coverage initiation threshold increases in .
Proof: The proof is in the Appendix.
When informed investors are aware that their demand order has an impact on the price, they
tend to trade less on their private information, i.e., they give up a part of the information
advantage that they have relative to uninformed investors. It is commonly believed by
financial market scholars that this impairs the liquidity in the market. As is shown by
75
The assumption of risk-neutrality is without loss of generality but decreases the complexity of the
mathematical problem. Identical results can be obtained with risk-aversion as in the basic setup. However, the
assumption corresponds to the effects documented by Bushee & Goodman (2007): Large institutional investors
are more likely to trade based on information than based on risk.
Discretionary Analyst Coverage and Capital Market Characteristics
79
Corollary 4, market illiquidity also impacts the analyst’s decision to provide information to
the market. This is because the extent to which informed investors trade on the analyst’s
information is lower with higher market illiquidity and consequently the price becomes less
informative. This in turn decreases the residual uncertainty because the overall trading in the
market is lower. Overall this yields a positive association between the likelihood of analyst
coverage and market liquidity.
This result is somewhat puzzling because it highlights the special tension underlying several
empirical studies on institutional ownership and analyst following, which argue that analysts
would have a distinct incentive to provide institutional investors with information (e.g.,
Ackert & Athanassakos 2003, Ljungqvist et al. 2007). Contrary to this common belief, I show
that the presence of informed large traders impairs the market liquidity and discourages
analysts from following a firm and providing information.
4.6. Conclusion
This paper develops a theoretical model to study the dependence of the likelihood of analyst
coverage on the characteristics of capital markets. In particular, it is shown that when an
analyst trades off the incentives to stimulate informed trade with the reputational costs of
providing inaccurate information he establishes a coverage policy in which every piece of
information is disclosed if marginal reputational costs are low, whereas only extremely good
or bad information is provided if the marginal reputational damage is above a certain level. In
a competitive investor setting it is shown that the likelihood of analyst coverage is a non-
monotonic function of (a) the market penetration of the provided forecast and (b) the risk
aversion of investors. Due to a special interest of the empirical literature in the causal
relationship between analyst following, institutional ownership and market liquidity I provide
an extension with an imperfectly competitive financial market, in which a few large informed
investors conjecture their impact on the share price and anticipate this in the choice of their
informed demand order. In turn this conjecture impairs the liquidity in the market. In the
obtained equilibrium I am able to provide the result that the likelihood of analyst coverage
increases with the market’s liquidity.
The economic setting introduced here is not without limitations. The most notable is that in
order to establish a linear equilibrium I neglect the possibility of an “information value of
coverage initiation” as has been documented by Branson et al. (1998), Irvine (2003) and Das
et al. (2006). This effect would be present in the discussed framework since uninformed
investors infer a noisy measure of the analyst forecast from the share price and additionally
Discretionary Analyst Coverage and Capital Market Characteristics
80
know that the analyst must have initiated coverage. They use these two pieces of information
jointly when updating, which would ultimately yield a non-linear expectation of earnings and
consequently also a non-linear share price. A second limitation is the exogeneity with respect
to the market penetration of the analyst’s forecasting information: To a certain extent this is a
choice variable of the analyst because he also chooses the price of his information. These and
further issues are left for future research endeavors.
Appendix (Paper 3)
Proof of Proposition 1
The proof of the competitive equilibrium summarized in Proposition 1 is performed stepwise
by means of two Lemmas.
Lemma 1: The derivation of equilibrium condition (7), which implicitly defines the coverage
initiation threshold , uses the demand orders presented in equations (2) and (5) and the share
price in (4). The analyst initiates coverage and discloses information whenever
.
The folded conditional expectation of the demand order in inequality (6) can be derived by
the following standard formula:
,
where . The
conditional mean and variance of the informed demand order are and
, respectively. Moreover,
. A crucial feature of the proposed model is the symmetry of the
equilibrium solution with respect to the equilibrium threshold since
. This technical property can be applied to present the equilibrium condition as
follows:
.
Discretionary Analyst Coverage and Capital Market Characteristics
81
Given that (or alternatively ) this inequality must hold with equality to obtain
the condition presented in (7).
Lemma 2: For the uniqueness proof it is sufficient to show that the equilibrium condition in
equation (7) increases in and is negative for some values of as approaches . For this
purpose I define the following function:
.
First, the limit of when approaches zero is .
This condition is positive if and negative otherwise. Moreover,
. Additionally, the first order condition of with respect to is
.
Thus, it must be true that if and if . ■
Proof of Corollary 1
The proofs of Corollaries 1 through 3 apply the implicit function theorem. As is already
known . Thus, the first order condition of with respect to an exogenous variable
must have the same sign as . Moreover, an important feature is that .
The Proof of Corollary 1 begins by plugging in into . The first order
condition can now be presented as follows:
where
.
The sign of the first order condition is proportional to the one of . The first term in
is unambiguously positive. However, the second term can be positive or negative
Discretionary Analyst Coverage and Capital Market Characteristics
82
because the sign of
is not determined by the assumptions made and since
. However, it is straightforward to show
that the term is unambiguously positive (and thus also ) if and only if
and . In all other cases can be positive or
negative and a condition can be found with respect to the magnitude of . Since it is
sufficient to analyze the behavior of with respect to to obtain a unique threshold
. The limits of with respect to are
and . Moreover,
if . Thus, there must exist a unique level of
such that is negative if and positive . ■
Proof of Corollary 2
The first order condition of with respect to is
,
where
.
Again the condition depends on , in which the first term is unambiguously positive
and the second term is only positive if which is
Discretionary Analyst Coverage and Capital Market Characteristics
83
the case if . If , it is straightforward to show that
there exists a unique threshold yielding the effects summarized in Corollary 2 (ii). ■
Proof of Corollary 3
The first order condition of with respect to is as follows:
.
This condition is unambiguously negative if
which is the case for all parameter
constellations except the following: (i) , (ii) and (iii)
. In this case it is
straightforward to prove that there exists a unique threshold such that the condition is
non-negative if . ■
Proof of Proposition 2
The Proof of Proposition 2 proceeds by means of three Lemmas.
Lemma 3: The capital market equilibrium for the imperfect investor competition case begins
with the derivation of the incremental information signal:
.
An informed investor’s decision problem is
. It shall be noted that, since and are jointly observed by investor
, the realization can be inferred. Thus, this problem is equivalent to the solution of
. The demand order can be solved and rewritten to
Discretionary Analyst Coverage and Capital Market Characteristics
84
obtain , or and after imposing the
conjectures. Moreover, the demand order of an uninformed investor is identical to the one
presented in equation (3). Thus, the market clearing condition can be applied and rewritten
with respect to the share price
.
The weight in the incremental information is now derived by solving
with respect to , which yields . Plugging this solution into yields the
following solution for the price:
,
where and
. Imposing the available conjectures of
the price and the informed demand ( ) and after plugging in
and the following two equations are obtained: and . The
latter is rearranged to . Thus, every component of the market solution depends
on the uniqueness of . However, an explicit solution for is not available but the
parameter is implicitly defined by equality
.
Following the equilibrium proof in Lambert et al. (2011) Decartes’ rule of signs can be
applied which implies a single or no positive root of with respect to .76
Since
and there must exist a unique positive , .
This proves the uniqueness of the capital market equilibrium since it does not depend on the
coverage initiation threshold .
76
The equilibrium condition is a third-order polynomial instead of a fourth-order polynomial which is the case
in Lambert et al. (2011). This is due to the assumption of risk neutrality of informed investors.
Discretionary Analyst Coverage and Capital Market Characteristics
85
Lemma 4: The derivation of the coverage initiation threshold follows the same procedures as
the ones used in Lemma 1. Thus, only the resulting expression shall be presented:
.
Lemma 5: For the proof of the uniqueness of the coverage threshold first note the above
inequality must hold with equality which further implicitly defines threshold by means of
the following equality:
.
This expression has the following limits in : and
. Moreover,
. Thus, there exists a unique threshold whenever . ■
Proof of Corollary 4
The Proof of Corollary 4 again utilizes the implicit function theorem and the effect of with
respect to depends on the sign of . This first order condition is
Discretionary Analyst Coverage and Capital Market Characteristics
86
.
This condition is ambiguous if
since the first term is negative and the expression in the last bracket is positive. This is the
case if . It is straightforward to see that equilibrium condition
decreases in . Thus,
plugging in into the equilibrium condition yields
which is a contradiction. Thus, it must be true that
and therefore that . Hence, . ■
Discussion and Conclusion
87
5. Discussion and Conclusion
In this dissertation I provide theoretical guidance on several issues that were previously
observed by empirical studies or that extend the prior theoretical literature in a novel way
such that implications for future empirical research can be derived:
· In the career concerns paper (Chapter 2) I show that analysts who herd in their
forecasts (i.e., due to the existence of career concerns) choose their coverage initiation
strategy such that they may be more or less likely to initiate coverage when their
career concerns vary, where the strategy is based on privately observed proprietary
reward-from-coverage information. In particular, I show that analysts are less likely to
initiate coverage and collect information if their career concerns increase, provided
that the average analyst private information precision is sufficiently large, and if the
responsiveness of the reward (i.e., the sum of trading volume commissions,
information acquisition costs and opportunity costs) to the forecast is relatively small.
In addition, I provide the result that the non-coverage of an analyst has information
content for a peer analyst.
· By means of an information acquisition model (Chapter 3) I reasoned that managed
earnings can be more or less informative for the market provided that there is a
previously released (endogenous) analyst forecast. In line with prior research such as
that of Chen et al. (2010), I argue that analyst forecasts fulfill two roles, an
information role stemming from the (additional) noise in the reporting bias and an
interpretation role induced by managers’ meet-or-beat analyst forecast incentives. It is
shown that analyst forecasts and managed earnings are complements if an analyst’s
information acquisition costs are high, whereas they are substitutes if costs are low.
· The discretionary coverage framework (Chapter 4) shows that the presumption of the
existing literature that analysts would always disclose the fundamental information
which they previously acquired and thus would always initiate coverage if they have
earnings information may not hold true in the presence of a tradeoff between the
objective to stimulate trade and reputational costs. In particular, I provide theoretical
proof that analysts release all fundamental information if reputational costs are
insignificant, whereas they only disclose sufficiently extreme information if these
costs are of significance. Additionally, it is shown that an analyst is less likely to
cover a firm if he penetrates a larger share of the equity market with his information,
Discussion and Conclusion
88
if he already reaches out to a sufficiently large number of shareholders relative to the
overall equity, and if reputational concerns are very distinct. Moreover, an extension
provides the insight that market illiquidity deters analysts from following a firm, as is
assumed by empirical studies such as those of O’Brien & Bhushan (1990) and Ackert
& Athanassakos (2003).
In sum, the results in the distinct papers suggest that not only the analyst’s own objectives
such as trading volume generation or career concerns determine his firm coverage and
forecasting behavior of sell-side equity analysts in non-trivial ways, but also the incentives of
others such as those of peer analysts or firm managers. Hence, the incentives of analysts and
those of other stakeholder of a firm that they (may) follow are interrelated in subtle but non-
trivial ways.
The papers in this thesis all include distinct phases in the coverage initiation stage, as is
depicted in Figure 1 in the literature review (see Chapter 1). The information acquisition
article (Chapter 3) models an analyst who always wants to initiate coverage and to provide a
forecast. However, his information-gathering strategy crucially depends on the noise
contained in the reporting bias – if there is more noise, then the analyst needs to collect more
fundamental information to outweigh the increased ex-ante expected forecast error. However,
the papers in Chapters 2 and 4 use different definitions of analyst coverage initiation (or
alternatively stop of coverage): The latter paper’s analysts decide on the collection of
information by means of proprietary signals about the profitability of firm coverage, but
release all possible realizations of the fundamental earnings forecasting signal (i.e., an ex-
ante coverage policy), whereas the former paper’s analyst discretionarily decides on whether
to disclose an earnings signal and thus on firm coverage after the realization of the respective
signal (i.e., an ex-post coverage policy). The ex-ante coverage strategy has been the
perspective of all theoretical contributions to the field of analyst coverage (e.g., Hayes 1998,
Mittendorf & Zhang 2005, Arya & Mittendorf 2005, Fischer & Stocken 2010). However,
conceptionally similar to the ex-post perspective is the contribution of Beyer (2008), in which
the analyst discretionarily decides on the revision of a previously disclosed forecasting signal
after he observes a new (and more accurate) private information signal.
Further, the papers considered here also differ in how forecast biasing is considered: For the
sake of simplicity in the discretionary coverage paper I assume that there is no distortion in a
released forecast (only the strategy to disclose the forecast introduces distortion), whereas the
other two parts apply different definitions of biasing. The information acquisition paper
Discussion and Conclusion
89
considers a distortion only in the acquisition of fundamental information, which is generally
in line with the manipulation concept proposed by Lim (2001). In the career concerns paper
the analysts are assumed to bias their forecasts in a distinct stage after they have gathered
private earnings information. In this sense, the latter paper is similar to approaches presented
by theoretical endeavors such as those ones of Beyer (2008) and Beyer & Guttman (2011).
However, both approaches yield distortions which impact the properties (e.g., accuracy) of
the observable forecast.
Another relevant aspect is whether analyst information is considered to be public or private.
For the validity of the models in Chapters 2 and 3 such a distinction is irrelevant as long as
the peer analyst or the firm manager have access to an analyst’s earnings forecast at a given
point in time. However, the discretionary analyst coverage model in Chapter 4 relies on the
assumption that analyst information provision causes private information asymmetry among
investors due to the necessity of a distinct interest of the analyst in the capital market. In
general, this is in line with Beyer & Guttman (2011) and well-known market microstructure
frameworks such as those of Grossman & Stiglitz (1980) and Kim & Verrecchia (1991). An
opponent to this viewpoint is Roulstone (2003), who provides empirical evidence supporting
the publishing of analyst information. An argument against the complete publishing of
analyst information can be found in the literature: According to Groysberg et al. (2011)
individual analysts earn more if they are nominated for rankings such as the Institutional
Investor All-Star equity research ranking. Such rankings are based on the mechanism that the
nominating investors earn abnormal returns as a consequence of trading on information that
the aforementioned analyst provides (e.g., Stickel 1992). It is straightforward to reason that
abnormal returns are more likely to be obtained with private rather than with public
information. In addition, it can be observed that analysts limit the availability of their
information by demanding a fee in exchange. Given these two observations, it is more likely
that analyst information represents private rather than public information.
This dissertation has several limitations which may form the basis for future theoretical
research projects. First and foremost, a general weakness exists in the theoretical analyst
coverage and forecasting literature, namely that all papers focus on the decision of an analyst
with respect to a particular firm instead of taking a portfolio perspective. The latter seems to
be highly relevant for the behavior of analysts since several empirical studies provide
evidence showing that analysts develop preferences with respect to categories such as
industry or geographical location (e.g., Malloy 2005, Kini et al. 2009, Sonney 2009). Next,
Discussion and Conclusion
90
due to technical complexity and as is discussed in the discretionary coverage paper it is not
clear how the signaling value of analyst coverage initiation or abandonment codetermines the
analyst’s coverage and forecasting behavior. First, empirical evidence in this direction is
provided by Branson et al. (1998), Irvine (2003), and Das et al. (2006). A last issue, which
remains unclear, is how the opportunity to use multiple information signals (forecasts,
recommendations, target prices) codetermines the properties of each distinct information
signal. It can be concluded that there is still room for future research endeavors on analysts’
behavior.
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