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Changes in Analysts Coverage and Future Returns:
Does the Market Overreact?
AMBRUS KECSKÉS and KENT L. WOMACK*
Preliminary Version 1.0, October 19, 2006
ABSTRACT
A sell-side analyst’s decision to add or drop coverage of a firm typically reflects better or
worse operating performance, respectively, both in the year of the decision and the next
year. But the stock market overreacts to analysts’ coverage decisions. When the number
of analysts following a firm increases, future returns are lower, and, conversely, when the
number of analysts decreases, future returns are higher. The decrease-increase return
spread is 6.4 percentage points. The overreaction is more pronounced when changes in
analyst following are “confirmed” by changes in analysts’ consensus recommendations or
changes in institutional ownership and the overreaction depends on valuation levels.
* Kecskés is from the Joseph L. Rotman School of Management, University of Toronto. Womack is from
the Amos Tuck School of Business, Dartmouth College.
1
1. Introduction
There are numerous reasons for brokerage analysts, so-called “sell-side” analysts,
to add or drop research coverage of stocks in the industries they follow. Analysts’
compensation and career prospects are closely tied to high standings in the annual polls
conducted by Institutional Investor and The Wall Street Journal. Within their industry,
analysts strive to identify up-and-coming firms as well as to cover the large capitalization
firms that are of interest to most institutional investors. Analysts also tend to cover firms
with solid stock market and operating performance.1 Indeed, Jegadeesh, Kim, Krische,
and Lee (2004) show that analysts tilt their recommendations towards glamour firms, i.e.,
firms with past market outperformance, high market valuations, high trading volume, etc.
Another motivation for analysts’ coverage decisions is the generation of trading
commissions stemming from the information content in analysts’ earnings estimates and
investment recommendations. For example, Irvine (2003) finds that initiations of analyst
coverage are followed by increases in liquidity.
Analysts are also expected to assist their bank’s investment banking division by
covering firms with possible securities issuance needs and/or mergers and acquisitions
prospects. Analysts are supposed to stimulate investor interest in these firms, which
generates lucrative banking fees if it leads to the analyst’s bank being chosen to
intermediate these deals. As Krigman, Shaw, and Womack (2001) report from a survey of
firms that switch underwriters, 88% of executives cite research coverage as one of the top
three reasons for switching. Moreover, Michaely and Womack (1999) show that pressure
from investment bankers may be sufficiently great as to bias analysts’ investment
1 See Bhushan (1989) and O’Brien and Bhushan (1990).
2
recommendations in favor of firms that their bank has recently taken public, particularly
when these firms have performed poorly. In sum, analysts’ coverage decisions seem to
cater to the market’s demand for information as well as to generating trading
commissions and investment banking fees.
Analysts’ decisions to drop coverage of certain stocks stem from related causes.
Analysts have finite resources and so they generally cannot cover all of the firms in their
industry group. For example, Boni and Womack (2006) show that the typical analyst
covers 10 firms even though the typical industry has 177 firms. Therefore, an analyst’s
decision to add coverage of one firm tends to imply a decision to drop another firm.
Firms for which analysts drop coverage have poorer past stock market and operating
performance and demand fewer investment banking services. Generally speaking,
analysts will add coverage of stocks about which they are bullish and drop coverage of
stock about which they are bearish (e.g., McNichols and O’Brien (1997)).
This study examines how the market reacts to analysts’ decisions to add and drop
coverage. Does firm value increase when analysts add coverage and vice versa? Does the
market efficiently impound the information contained in the change in coverage or is
there a subsequent return drift or reversal? We measure changes in analyst following and
returns over calendar years and find that excess returns are higher in the year in which the
number of analysts following a stock increases, and excess returns are lower in the year
in which analyst following decreases. Surprisingly, however, in the year after a change in
analyst following, excess returns are negative (-1.7 percentage points) when following
has increased and positive (-4.7 percentage points) when following has decreased. In
3
other words, the market appears to overreact in the year of a change in analyst following
and reverses itself the next year. This finding stands up to a battery of robustness tests.
To put our findings in a rational theoretical framework, we consider the investor
recognition model of Merton (1987). Suppose that the cost of capital for a firm is
decreasing in the number of investors who include the firm in their portfolio choice
problem. If investor recognition increases, the cost of capital falls, and so realized returns
are higher than expected today but expected returns are lower going forward. Our results
are consistent with this investor recognition model.
Nevertheless, investor recognition cannot be the whole story. Changes in investor
recognition impact the cost of capital but they should not systematically impact cash
flows. However, we find that firms for which analysts add coverage have significantly
better operating performance than firms for which analysts drop coverage. This
performance difference persists beyond the year of the change in coverage. Moreover,
when increases in analyst following are confirmed by changes in analysts’ consensus
recommendations, operating performance is even better than when changes in analyst
following are contradicted. The converse is also true for decreases in analyst following.
In other words, it appears that analysts add (drop) coverage of firms that have better
(worse) operating performance, both in the year of the change in coverage and the next
year. The puzzle, then, is that excess returns reverse in the year after a change in analyst
coverage.
Whether for rational or behavioral reasons, the bottom line is that firm value
increases (decrease) when analyst following increases (decreases). Further results suggest
that the market gets carried away by the information value of changes in analyst
4
following, resulting in mispricing that is subsequently reversed. If the market does
overreact, then, for a given change in analyst following (an increase, no change, or
decrease), firms with higher valuations (e.g., as measured by book-to-market) should
have lower excess returns next year relative to firms with lower valuations. Indeed,
extreme glamour firms for which analyst following increases have the worst excess
returns the next year. Extreme value firms for which analyst following increases have
much better excess returns but their excess returns are only slightly worse than for
glamour firms for which analyst following decreases. Extreme value firms for which
analyst following decreases have the highest excess returns the next year. The evidence
from the glamour-value distinction lends support to the market overreaction explanation
of analysts’ decisions to add or drop coverage.
The rest of this paper is organized as follows. Section 2 outlines the sample
selection and data sources. Section 3 describes the sample. Section 4 presents the main
results. Section 5 examines explanations of the main result. Section 6 presents robustness
tests. Section 7 concludes.
2. Sample Selection and Data Sources
This study primarily examines the time-series variation of the number of analysts
following firms (providing earnings forecasts to IBES). Typically, an analyst will at least
provide one-year-ahead earnings estimates on the firms he follows whether or not he
provides anything else. Accordingly, we assume that an analyst “follows” a firm if he
provides a one-year-ahead earnings estimate on that firm. We extract the number of
analysts providing earnings estimates (“analyst following”) from the monthly I/B/E/S
Summary History – Summary Statistics file every December for every firm. Most of our
5
returns and operating performance statistics are for calendar years unless otherwise
stated. We only retain a firm-year observation for which there is at least one analyst
following the firm in two consecutive years. This restriction filters out potentially large
changes in firms’ information environment resulting from changes in analyst following of
some to zero analysts and from zero to some analysts. Since I/B/E/S earnings estimates
coverage becomes comprehensive in 1983 and since our analysis requires one year of
future returns data, we compute the change in analyst following for every year between
1984 and 2004 inclusive. We extract the mean recommendation for every firm from the
monthly I/B/E/S Recommendations – Summary Statistics file for the same time period.
We use these data to study the impact of a change in analyst following that is confirmed
or contradicted by analysts’ consensus recommendation changes. We merge our extracts
from the estimates summary and recommendations summary files.
We extract the return, closing price, shares outstanding, volume, exchange code,
and share code from the CRSP monthly stock file for every firm, for every month. As is
common practice, we retain only firms with share codes 10, 11, and 12 (operating
companies). We match the remaining CRSP firms to our I/B/E/S firms, and we retain
only firms that have both I/B/E/S earnings estimates data and CRSP data. Our final
sample consists of a maximum of 66,627 firm-years and 10,619 firms with available
earnings estimates and a maximum of 38,358 firm-years and 7,946 firms with both
earnings estimates and recommendations. Additionally, we extract from CRSP the value-
weighted index, which we use as our market index. We also extract the first date of
listing for every firm as well as a list of S&P 500 constituents from CRSP.
6
We study how changes in analyst following relate to firm characteristics, market
and operating performance, financing and investment activity, and valuations. Therefore,
we extract operating performance data from the Compustat industrial annual and
quarterly files. We extract annual data on total assets (item #6), sales (item #12), book
value of equity (item #60), capital expenditures (item #128), and income before
extraordinary items (item #237). We extract quarterly data on sales (item #2),
depreciation and amortization (item #5), income before extraordinary items (item #8),
and book value of equity (item #59). We obtain yearly NYSE capitalization decile
breakpoints from Ken French’s website.2 We extract from Securities Data Company
equity offering dates and M&A transaction dates. We extract from the CDA/Spectrum
Institutional (13f) Holdings database, at the fourth quarter of every calendar year, for
every firm, the number of institutional shareholders as well as the total number of
institutions in the database.
3. Sample Description
We begin by examining the characteristics of firms that analysts follow and why
changes in analyst following occur. Therefore, we first examine analyst following
conditional upon market capitalization and institutional ownership for a typical year,
1994. We sort all sample firms into deciles based on analyst following, based on NYSE
market capitalization decile breakpoint, and based on the number of institutional
shareholders of the stock. Panels A and B of Table I show separately for all firms as well
as only for S&P 500 firms, respectively, the well-known strong positive relation between
analyst following and market capitalization. Panel C shows that there is also a strong 2 http://mba.tuck.dartmouth.edu/pages/faculty/ken.french/
7
positive relation between analyst following and institutional ownership and Panel D
shows that there is a strong positive relation between market capitalization and
institutional ownership. These relationships are a consequence of the fact that analysts
follow firms for which they can generate commission and banking revenues. The results
for other years are similar. In summary, Table I shows that both institutions and analysts
follow larger firms.
[Insert Table I about here]
Next, we examine how the number of analysts following a firm changes from year
to year. Figure 1-A shows the mean market capitalization of firms followed by analysts
and of S&P 500 firms. The typical firm followed by analysts is about a quarter the size of
the typical S&P 500 firm throughout the years. Figure 1-B shows the distribution of
analyst following (for firms followed by at least one analyst). This distribution is stable
over the years. Mean (median) following is about 6.5 (4) analysts and very few firms are
followed by more than 20 analysts.
[Insert Figure 1 about here]
We now turn to the distribution of changes in analyst following from year to year.
Figure 2-A shows the distribution of changes in analyst following and Figure 2-B shows
the relative percentage of the changes in analyst following (increases, no changes, and
decreases). The distribution of changes in analyst following is stable over the years, with
the typical change being close to zero. However, this stability belies the substantial
fluctuations in aggregate analyst following. The percentage of firms with no changes is
fairly stable from year to year, between 24% and 32% of changes. By contrast, increases
and decrease fluctuate substantially from year to year at each other’s expense.
8
Oftentimes, increases (decreases) occur in years of high (low) market returns (not
tabulated). Armed with a sketch of the dynamics of analyst following and the change in
analyst following, we now turn to examining the determinants of the change in analyst
following for a firm from year to year.
[Insert Figure 2 about here]
We rely primarily on the literature on analyst following to guide our choice of the
determinants of changes in analyst following. Determinants include:
• Market capitalization decile change: Market capitalization is a well-known
determinant of analyst following (e.g., Bhushan (1989)).
• Change in institutional breadth: We define change in institutional breadth for a
given stock in a given year as the change in the number of 13f filers that hold that
stock between last year and this year, all divided by the total number of 13f filers
(for all stocks) last year. Thus change in institutional breadth is simply scaled
changes in institutional holdings. Scaling is necessary because the number of
institutions in our data source increases several fold during our sample period.
O’Brien and Bhushan (1990) find that the number of institutions is positively
related to the number of analysts. We emphasize that throughout the paper, except
in Panel A of Table IV, we take change in institutional breadth at face value as
change in institutional ownership.
• Change in turnover percentile: Greater analyst following may be a profitable
activity if it generates more trading and hence commissions for banks. Every year,
for every exchange, we sort all firms in CRSP with a full year of monthly
turnover data into turnover percentiles. We do so separately for the NYSE,
9
AMEX, and NASDAQ because volume measurement differs substantially
between exchanges.
• Raw stock return and market return: O’Brien and Bhushan (1990) find that an
increase in analyst following is associated with higher excess of market returns,
and at the yearly frequency aggregate analyst following is positively related to the
level of the market. Accordingly, we use both the raw stock return this year and
last year and the market return.
• Change in book-to-market: Book-to-market measures valuation. Higher valuation
may capture greater growth opportunities and/or greater mispricing, but in both
cases information production by analysts may be valuable.
• Equity issuance dummy and acquirer dummy: These measure whether the firm
has issued equity and acquired another firm, respectively, this year. A firm may
be more likely to choose as underwriter a particular bank if an influential analyst
at that bank follows the firm. The equity issuance dummy variable equals one if a
given firm in a given year issues equity according to SDC and zero otherwise.
The acquirer dummy variable equals one if a given firm in a given year acquires
another firm according to SDC and zero otherwise.
• Change in return on equity: As already noted, O’Brien and Bhushan (1990) find
that an increase in analyst following is associated with higher excess of market
returns, so we consider the operating performance counterpart of stock return,
return on equity. Return on equity is computed as income before extraordinary
items this year scaled by the mean of book value of equity this year and last year.
10
• Change in sales growth: O’Brien and Bhushan (1990) find that the number of
firms entering an industry is positively related to the number of analysts following
firms in that industry. This finding inspires our somewhat simpler choice of sales
growth, which is computed for every firm as the growth rate of sales this year
versus last year.
• Change in capital expenditures: As a measure of real investment, capital
expenditures may capture growth opportunities that are not captured by sales
growth since sales growth is derived from assets in place. Both firms that invest
heavily themselves and institutions interested in these firms may benefit from
greater analyst following of these firms. Capital expenditures are scaled by the
mean of total assets this year and last year.
We regress changes in analyst following on contemporaneous determinants listed
above. We also calculate the effect of a one standard deviation increase in each of our
explanatory variables on change in analyst following. Since our sample consists of a
cross-section of firms across time, we implement a firm fixed effects regression. The
Appendix describes why we choose firm fixed effects and explains this methodology.
Table II presents the results. All of the relations are in the predicted direction, except that
book-to-market change, the acquirer dummy, return on equity change, and sales growth
change are not statistically significant. The results overall are fairly intuitive. Firms for
which size, institutional ownership, turnover, returns, and investment increase also
experience an increase in analyst following as is the case for firms that issue equity.
Following also increases for firms for which size, valuation, and trading activity increase.
Additionally, analyst following increases when the broader market performs better and
11
when the firm is involved in financings and acquisitions. The most important determinant
of change in analyst following is equity issuance, followed by raw stock return last year,
change in institutional breadth, and the market return. Equity issuance is associated with
an increase of 0.49 analysts. A one standard deviation increase in the raw stock return last
year, change in institutional breadth, and the market return are associated with increases
of 0.42, 0.34, and 0.26 analysts, respectively. Changes in analyst following do reflect
changes in the market and operating performance of firms. Are changes in analyst
following related to future returns?
[Insert Table II about here]
4. Main Result
We now examine the relation between changes in analyst following and returns.
We are mindful of the possibility that an additional analyst may have less of an impact
for a firm followed by 10 analysts than for a firm followed by one analyst. As Figure 3
shows, the number of analysts following a firm this year for a firm that was followed by
two analysts last year (the 25th percentile of the distribution of analyst following) ranges
roughly from one to six analysts. For a firm followed by four analysts last year (the
median of the distribution), the range is wider, roughly one to ten analysts. By sharp
contrast, for a firm followed by nine analysts last year (the 75th percentile of the
distribution), the range is very wide, roughly one to 17 analysts. Therefore, in all multiple
regressions that involve regressing returns on changes in analyst following, we control
for the logarithm of the number of analysts following the firm last year and the
interaction between the logarithm of the number of analysts following the firm last year
and the change in the number of analysts this year. Furthermore, when we refer to mean
12
returns, we mean excess of market returns, and when we refer to returns in regressions,
we mean excess of the risk free rate and we include controls for the Fama-French three
factors plus momentum. Finally, we always use a firm fixed effects regression when
return is a dependent variable.
[Insert Figure 3 about here]
Table III presents this year’s changes in analyst following related to returns last
year, this year, and next year. Panel A presents sample means and Panel B presents
regressions of returns on change in analyst following. From Panel A, the decrease-
increase return spread is 4.7--1.7 = 6.4 percentage points. From Panel B, an additional
analyst this year is associated with incremental returns of 7.0, 1.7, and -4.6 percentage
points last year, this year, and next year, respectively. Note that when we express
relations between some variable and incremental returns, we hold constant the logarithm
of analyst following last year at its mean value of about 1.5 analysts. In other words,
∂(excess returnt) ( ) ( ) 5.1/1ln ×+=Δ∂−×ΔΔ ttt followingfollowingfollowingtfollowing ββ .
[Insert Table III about here]
Not surprisingly, we find strong evidence that more analysts follow firms that
have performed well in the past. Nothing appears to attract market participants like stellar
past returns. Nevertheless, it is striking that returns reverse after changes in analyst
following. The interested reader can peek ahead at Section 6 where we present a battery
of tests that suggest the results in Table III are robust.
5. Explanations
5.1. Investor Recognition
13
We have found that changes in analyst following are positively related to returns
this year and negatively related to returns next year. There is a rational explanation for
this. Suppose that investors only include a firm in their portfolio choice problem if they
know about it, and that not all firms are known to all investors. We can think of greater
“investor recognition” as reducing the cost of capital for the firm. Merton (1987) models
a capital market equilibrium with incomplete information. His model predicts that (1)
changes in investor recognition are positively related to present returns and (2) negatively
related to future returns, that (3) the foregoing two relationships are more pronounced for
riskier firms, and that (4) both financing and investing are increasing in changes in
investor recognition.
We assume that analyst following proxies for investor recognition. Accordingly,
the results in Table III are consistent with Merton (1987)’s predictions (1) and (2).
Lehavy and Sloan (2006) also find evidence supporting Merton (1987)’s predictions.
They use change in institutional breadth as a proxy for investor recognition.3 To get a
sense of how our findings overlap with theirs, we replicate the results in Panel B of Table
III but we add change in institutional breadth as an explanatory variable. Panel A of
Table IV presents the results. A one standard deviation analyst following increase (about
2.5 analysts) is associated with incremental returns next year of -10.5 percentage points.
3 Institutional breadth change is a somewhat controversial proxy for investor recognition. First, the number
of investors that own a stock is a lower bound of the number of investors that know about the stock, but
beyond this it is unclear how the two are related. Second, institutional breadth change may be interpreted as
a noisy stock level proxy for mutual fund flows, which are a well-known proxy for investor sentiment.
Conceptually at least the rational and behavioral explanations for the reduction in the cost of capital are
very different (greater investor recognition versus more optimistic sentiment, respectively).
14
By contrast, a one standard deviation increase in change in institutional breadth (about
1.65 percent) is associated with incremental returns next year of -3.8 percentage points.
Insofar as change in institutional breadth is also a proxy for investor recognition, change
in analyst following and change in institutional breadth are more like complementary
rather than competitive proxies for investor recognition change.
[Insert Table IV about here]
We continue testing Merton (1987)’s predictions. To test prediction (3), we repeat
our tests for predictions (1) and (2) but we separate changes in analyst following for high
and low risk firms. Every year, we sort all firms in CRSP with twelve months of monthly
returns data based on their annualized standard deviation of monthly returns. We then
classify a given firm in a given year as high (low) risk if its standard deviation is above
(below) the median standard deviation that year. Panel B of Table IV presents the results.
An additional analyst this year is associated with incremental returns of 2.7 (0.6)
percentage points this year for high (low) risk firms, while for next year this association
is -5.3 (-3.8) percentage points for high (low) risk firms. Hence the relation between
changes in analyst following and present and future returns is more pronounced for high
risk firms, which is consistent with prediction (3).
To test prediction (4), we test whether changes in analyst following are related to
financing and investment, controlling as usual for lagged analyst following and its
interaction. We measure financing with our equity issuance dummy variable. We
measure investment with our acquirer dummy variable as well as change in capital
expenditures. Panel C of Table IV presents the results. Change in analyst following is
positively related to financing and investment, which is consistent with prediction (4).
15
In summary, we find that changes in analyst following are positively related to
present returns and negatively related to future returns, that the foregoing two
relationships are more pronounced for riskier firms, and that both financing and investing
are increasing in analyst following. If analyst following is a proxy for investor
recognition, Merton (1987)’s predictions are confirmed.
5.2. Market Overreaction
Investor recognition is not the only possible explanation for the return reversal
after changes in analyst following. The obvious alternative explanation is that the market
overreacts to changes in analyst following and eventually corrects its excesses. This
explanation is consistent with the positive relation between change in analyst following
and present returns and the negative relation between change in analyst following and
future returns being more pronounced for more risky firms. More risky firms are harder
to value and to arbitrage so they are more likely to be mispriced. It is also consistent with
firms issuing more (less) equity and investing more (less) when following increases
(decreases). Investors and managers alike may correctly perceive the direction of the
change in the cost of capital induced by the following change but they may overshoot
with the magnitude, resulting in too much equity issuance and real investment. We
cannot distinguish between the rational and behavioral explanations on the basis of
Merton (1987)’s predictions alone.
Before testing whether or not a behavioral explanation is consistent with our main
results, we examine whether the market reaction to changes in analyst following is
different when confirmed or contradicted by other votes of confidence. Specifically, we
examine whether the magnitude of returns this year and next year is bigger (smaller)
16
when change in analyst following this year are confirmed (contradicted) by changes in
analysts’ consensus recommendation this year and by changes in institutional ownership
this year. The intuition behind these tests is simple. We have found that increases
(decreases) in analyst following are greeted by positive (negative) returns. Womack
(1996) finds that recommendation upgrades (downgrades) are greeted by positive
(negative) market returns. When more of the analyst community pays attention to a firm
and these analysts view the firm more favorably, there should be a greater market
reaction than when these analysts view the firm less favorably. The logic for changes in
institutional ownership is analogous, provided that the market responds more (less)
favorably to institutional ownership increases (decreases).
To implement our tests, we separate changes in analyst following into four
dummy variables. The first dummy variable is for analyst following increases that are
confirmed by more optimistic consensus recommendation changes (↑↑). The second
dummy variable is for analyst following increases that are contradicted by more
pessimistic consensus recommendation changes (↑↓). The third dummy variable is for
analyst following decreases that are contradicted by more optimistic consensus
recommendation changes (↓↑). The fourth dummy variable is for analyst following
decreases that are confirmed by more pessimistic consensus recommendation changes
(↓↓). We follow the same setup when using changes in institutional ownership.
Table V presents mean excess returns this year and next year for increases and
decreases in analyst following that are confirmed and contradicted by other relevant
signals. First, we examine returns next year. If following increases and is confirmed by a
consensus increase, incremental returns next year are -1.6 percentage points compared to
17
only -0.6 if contradicted by a consensus decrease. If following decreases and is confirmed
by a consensus decrease, incremental returns next year are 8.4 percentage points
compared to only 4.3 if contradicted by a consensus increase. If following increases and
is confirmed by an ownership increase, incremental returns next year are -1.6 percentage
points compared to only -1.2 if contradicted by an ownership decrease. If following
decreases and is confirmed by an ownership decrease, incremental returns next year are
7.5 percentage points compared to only 2.2 if contradicted by an ownership increase. The
magnitude of the return reversal is bigger (smaller) when change in analyst following are
confirmed (contradicted).
[Insert Table V about here]
Next, we examine returns this year. If following increases (decreases) and is
confirmed by a consensus increase (decrease), incremental returns this year are positive
(negative). However, if following increases (decreases) and is contradicted by a
consensus decrease (increase), incremental returns this year are negative (positive). The
results for changes in institutional ownership tell the same story. By contrast to the results
for returns next year, it appears that the consensus change effect dominates the following
change effect for returns this year. Taken together, the results in Table V suggest that the
market reacts more strongly to changes in analyst following that are confirmed by other
votes of confidence than to changes that are contradicted.
We now turn to distinguishing between rational and behavioral explanations of
our main results. We ask whether or not analysts are justified in making their following
decisions by fundamentals. Specifically, we examine whether or not analysts add
coverage of firms that are better performers on an operating basis and drop coverage of
18
worse performers, both contemporaneous with and subsequent to changes in analyst
following. As we have already argued, analysts should rationally add coverage of “good”
firms and drop coverage of “bad” firms. We extend this analysis by separating changes in
analysts following according to whether these changes are confirmed or contradicted by
changes in analysts’ consensus recommendation and changes in institutional ownership.
We wish to ensure that firms that get a double dollop vote of confidence through greater
analyst attention and more glowing analyst accolades are actually “better” firms. We also
look at how changes in analyst following are corroborated by changes in institutional
ownership, i.e., by how investors are voting with their dollars.
Our measures of operating performance are return on equity, sales growth, and
capital expenditures. We first test how these variables this year and next year are
explained by changes in analyst following this year. We then test how these variables this
year and next year are explained by the same four dummy variables created for Table V
based on change in analyst following and analysts’ consensus recommendation changes.
Table VI presents the results. From Panel A, both this year and next year,
profitability, growth, and investment are all monotonically higher for analyst following
increases. From Panel B, with minor exceptions not only does following change in the
direction of operating performance but the results are even more pronounced when we
incorporate the additional information provided by consensus recommendation changes.
In other words, operating performance is higher for firms for which analyst following
increases than decreases and is even higher for firms for which analyst following
increases and is confirmed by a consensus recommendations increase. Our findings for
growth and investment are consistent with the findings of Jegadeesh, Kim, Krische, and
19
Lee (2004), who find that individual analysts tilt their recommendations towards glamour
stocks. Our results suggest that analysts gravitate towards (away from) more (less)
profitable, faster growing, and more heavily investing firms.
[Insert Table VI about here]
If analysts follow and recommend good firms as measured by both present and
future operating performance, why do these firms turn out to be bad investments? The
investor recognition explanation speaks only to changes in the cost of capital and is silent
on the subject of changes in cash flows. The answer that suggests itself is that these firms
are overvalued. We test the overvaluation explanation by examining whether or not firm
valuations at the time of changes in analyst following are related to returns thereafter. For
following increases, the return reversal should be exacerbated for firms with higher
valuations because they have a longer way to fall. For following decreases, the return
reversal should be moderated for firms with higher valuations because they are already
richly valued.
We use four valuation measures. Following Lakonishok, Shleifer, and Vishny
(1994), we use book-to-market, cash flow-to-price, and sales growth, and following Lee
and Swaminathan (2000), we use turnover. We form these variables as follows. We form
book-to-market ratios using book value from the fiscal quarter ending during the third
calendar quarter and market value from the last trading day of the calendar year. We form
cash flow-to-price ratios by summing earnings before extraordinary items plus
depreciation and amortization for the four fiscal quarters ending during the third calendar
quarter and dividing the total by market value from the last trading day of the calendar
year. We only use strictly positive cash flow-to-price ratios. We form sales growth using
20
sales from the fiscal quarter ending during the third calendar quarter of the current year
compared to five years prior and we calculate the geometric mean growth rate. We form
turnover as the mean of the monthly turnover ratios (total monthly volume divided by
month end shares outstanding) during the calendar year. Next, for each of these four
variables, every year, we sort all firms in Compustat into quintiles. Finally, for each of
these four variables, we sort our sample firms into three groups of change in analyst
following (increases, no changes, and decreases) by five valuation quintiles. For every
cell, we calculate the mean excess of market return.
Table VII reports the results. Before interpreting them, several pointers are in
order. First, there are typically at least a few thousand observations in each cell, and any
concentration in particular cells does not appear to be systematic within or across panels.
Second, the mean return for each change in analyst following group is different in Panels
A and D from Panels B and C because there are considerably fewer observations in the
latter than the former panels. Third, in Panel D, since Lee and Swaminathan (2000) find
that high turnover stocks have glamour characteristics, the progression of quintiles is
reversed, running from five (glamour) to one (value).
[Insert Table VII about here]
We now interpret the results. For every valuation measure, for a given valuation
quintile, returns are lower for following increases than for no changes and lower for no
changes than for decreases. The analyst following decrease-increase spread (about five
percentage points) is always statistically significant. In other words, for a given valuation
level, returns reverse after following changes, which is consistent with our previous
results. Moreover, in Panels A, B, and D, eight of the nine extreme value-glamour
21
spreads (about five percentage points) are statistically significant. (For comparison,
without conditioning on change in analyst following, the t-statistics for the value-glamour
premium for Panels A, B, C, and D are 5.68, 5.71, -0.29, and 8.41, respectively.) It is not
surprising that results in Panel C are weak because by construction we only include firms
that have at least six years of sales data, which eliminates a lot of young and growing
firms, and we thus lose about 40 percent of our sample firms. The results indicate that for
a given change in analyst following, returns next year are lower when valuations this year
are higher, which is consistent with the market overreacting to changes in analyst
following and subsequently correcting its excesses. Future returns for firms with
extremely low valuations and for which following increases are similar to future returns
for firms with extremely high valuations and for which following decreases. This further
corroborates the market overreaction explanation. We conclude that while analysts’
decisions to add or drop coverage of stocks are sound in that their decisions are solidly
grounded in fundamentals, market overreaction to changes in analyst following means
that blindly implementing these decisions makes for a bad investment strategy.
6. Robustness Tests
We subject our main result to a battery of robustness tests. We wish to ensure that
our results are general rather than being mechanical or being driven by a particular or
unrepresentative group of firms. To this end, we replicate the results in Panel B of Table
III in various incarnations and we present the results in Table VIII.
[Insert Table VIII about here]
First, we run regressions of excess returns next year on changes in analyst
following this year by five year intervals to test whether or not the return reversal is
22
consistent across time. From Panel A, the return reversal appears to be a stable
phenomenon throughout our sample period.
Second, we test the relation between excess returns next year and changes in
analyst following this year separately by analyst following quintiles constructed using
analyst following last year. Our objective is to group together firms such that firms in
each group attract roughly the same amount of analyst attention. From Panel B, no matter
how much or little analyst attention firms receive, returns reverse after changes in analyst
following.
Third, we test whether or not the return reversal is transitory or persistent by
regressing returns two and three years into the future on change in analyst following this
year. From Panel C, though smaller in magnitude (-2.5 and -1.6 percentage points for two
and three years, respectively, rather than -4.6), the return reversal persists for several
years.
Fourth, we test whether or not the return reversal is a mechanical result of not
controlling for the positive relation between analyst following next year and returns next
year. This is a possibility since the change in analyst following is positively related to
returns this year but negatively related to returns next year. We run regressions of returns
next year on changes in analyst following this year for even and odd years separately,
thereby necessarily destroying any mechanical relation between adjacent years. From
Panel D, the return reversal persists and is clearly not generated mechanically.4
4 We cannot control for following as usual because if we did we would have to control for following both
this year and next year, which would induce perfectly multicollinearity with change in analyst following
this year.
23
Fifth, we test whether or not it is primarily large changes in the information
environment of firms that have a large impact on returns. To do this, we exclude all large
changes in analyst following, namely those below the 5th percentile (-4 analysts) and
above the 95th percentile (4 analysts), and restricting attention to firm-years during which
following changes by (the absolute value of) zero to four analysts in one instance and by
zero to one analysts in another. From Panel E, an additional analyst this year is associated
with incremental returns of -4.6, -4.9, and -5.6 percentage points when we include all
changes in following, changes of only zero to four analysts, and changes of only zero to
one analyst in succession. Thus the return reversal is not primarily driven by large
changes in analyst following.
Finally, we briefly describe other robustness tests the results of which are not
tabulated. First, lower priced stocks are harder to arbitrage so they are more likely to be
mispriced and may experience larger swings in returns. To test whether this affects the
return reversal, we only include stocks that have a month-end closing price of at least $5
throughout our sample period. Second, firms that go public underperform for several
years thereafter, and IPOs tend to receive analyst coverage immediately after listing. To
test whether this affects the return reversal, we include only firm-years for which the firm
has been followed in IBES for at least five years. Third, the marginal impact of change in
analyst following may be greater for younger versus older firms. To test whether this
affects the return reversal, we control for the logarithm of the number of years listed. In
all three cases above, the return reversal persists, though the relations between change in
analyst following this year and returns this year and next year are smaller in magnitude
when we exclude low priced stocks, IPOs, and younger firms, as we would expect.
24
7. Conclusion
We examine the market reaction to sell-side analysts’ decisions to add or drop
coverage. Firms for which analyst following increases (decreases) have higher (lower)
returns during the year in which coverage changes. However, returns reverse in the next
year, leading to a decrease-increase return spread of 6.4 percentage points. In contrast to
the market reaction, operating performance is better for firms for which analyst following
increases than for firms for which following decreases, both in the year of the change in
coverage and the next year. The market reaction and operating performance results are
even stronger when changes in analyst following are confirmed by changes in analysts’
consensus recommendation and changes in institutional ownership. Moreover, for a given
change in analyst following, firms with higher valuations have lower returns next year.
Glamour stocks for which analyst following increases have the worst returns next year
whereas value stocks for which following decreases have the highest returns. Taken
together, our results suggest that the market overreacts to changes in analyst following
and subsequently corrects itself.
25
REFERENCES
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and Economics 11, 255-274.
Boni, Leslie, and Kent L. Womack, 2006, Analysts, industries, and price momentum,
Journal of Financial and Quantitative Analysis 41, 85-109.
Irvine, Paul J., 2003, The incremental impact of analyst initiation of coverage, Journal of
Corporate Finance 9, 431-451.
Jegadeesh, Narasimhan, Joonghyuk Kim, Susan D. Krische, and Charles M. C. Lee,
2004, Analyzing the analysts: When do recommendations add value?, Journal of
Finance 59, 1083-1124.
Krigman, Laurie, Wayne H. Shaw, and Kent L. Womack, 2001, Why do firms switch
underwriters?, Journal of Financial Economics 60, 245-284.
Lakonishok, Josef, Andrei Shleifer, and Robert W. Vishny, 1994, Contrarian investment,
extrapolation, and risk, Journal of Finance 49, 1541-1578.
Lee, Charles M. C., and Bhaskaran Swaminathan, 2000, Price momentum and trading
volume, Journal of Finance 55, 2017-2069.
Lehavy, Reuven, and Richard G. Sloan, 2006, Investor recognition and stock returns,
working paper.
McNichols, Maureen, and Patricia C. O’Brien, 1997, Self-selection and analyst coverage,
Journal of Accounting Research 35, 167-199.
Merton, Robert C., 1987, A simple model of capital market equilibrium with incomplete
information, Journal of Finance 42, 483-510.
26
Michaely, Roni, and Kent L. Womack, 1999, Conflict of interest and the credibility of
underwriter analyst recommendations, Review of Financial Studies 12, 653-686.
O’Brien, Patricia C., and Ravi Bhushan, 1990, Analyst following and institutional
ownership, Journal of Accounting Research 28, 55-76.
Womack, Kent L., 1996, Do brokerage analysts’ recommendations add value?, Journal of
Finance 51, 137-167.
27
Appendix. Fixed Effects Regressions
Our sample consists of a cross-section of firms across time, an unbalanced panel.
We can approach our data in the familiar linear regression setting,
itiitit vXy εβα +++= , where, for each individual i, we have multiple observations, one
for each time period t. In our application, we examine the effect of change in analyst
following across time for a given firm and for multiple firms, so the impact of change in
analyst following on returns may be different from firm to firm (e.g., riskier firms may
have higher returns). With observations on each individual at different time periods, the
residual may be a compound residual with an individual specific component itiv ε+ ,
where itε is the least squares residual and iv is a residual that is constant across time and
specific to individual i.
For this reason, we take the fairly general approach of implementing a firm fixed
effects model. Specifically, we run ordinary least squares regressions on the equation
( ) ( )εεεβα +−+++−+=+− iitiitiit vXXXyyy , where ( ) ∑ =×= iT
t itii yTy1
1 ,
( ) ∑ ∑= =×=
N
i
T
t itii yNTy
1 11 , and iX , X , v , iε , and ε are analogously defined. This
yields the same coefficient estimates as running an ordinary least squares regression on
itiitit vXy εβα +++= and including firm dummy variables. The standard errors from
ordinary least squares and firm fixed effects are identical after adjusting for the extra N-1
estimated firm means. The within R2s from fixed effects (“within” firms, as opposed to
“between” firms and “overall”) are identical to the ordinary least squares R2s. Since with
fixed effects we are estimating, among other things, one mean per firm, we can only
include other regressors that are not constant across time. The correlation between iX
28
and iv is zero since iv is fixed by assumption. While fixed effects always give consistent
estimates, they may not be efficient relative to random effects. However, the Hausman
test for the equality of the coefficients from fixed and random effects indicates that
random effects are not appropriate (p-value 0.0000), so we stick to fixed effects.
29
Table I Characteristics of Firms Followed by Analysts
This table presents the relations between the number of analysts following a stock, the number of institutions owning a stock, and market capitalization. The sample consists of all firms that are followed by at least one analyst, both this year and the previous year. For ease of interpretation, results for a single representative year, 1994, are presented. Panel A: Number of firms by analyst following and market capitalization quintiles, 1994 only
Market capitalization quintile 1 2 3 4 5
Median number of analysts
1 751 143 25 9 2 2 238 115 34 6 3 3 240 201 72 24 2 4 4 90 245 244 149 26 8 A
naly
st
follo
win
g qu
intil
e
5 2 32 119 235 328 18 Median capitalization 59.4 239.8 604.9 1,408.9 4,967.8
Panel B: Number of S&P 500 firms by analyst following and market capitalization quintiles, 1994 only
Market capitalization quintile 1 2 3 4 5
Median number of analysts
1 1 2 2 2 2 3 3 3 6 6 5 4 7 19 35 18 10 A
naly
st
follo
win
g qu
intil
e
5 5 18 75 285 22 Median capitalization 122.0 301.9 658.6 1,713.3 5,578.6
Panel C: Number of firms by analyst following and institutional ownership quintiles, 1994 only
Institutional ownership quintile 1 2 3 4 5
Median number of analysts
1 403 296 183 44 1 2 2 72 134 133 50 5 3 3 43 134 190 152 20 4 4 10 43 184 350 166 8 A
naly
st
follo
win
g qu
intil
e
5 11 133 572 18 Median managers 9 20 34 66 165
Panel D: Number of firms by institutional ownership and market capitalization quintiles, 1994 only
Market capitalization quintile 1 2 3 4 5
Median number of institutions
1 512 9 3 2 9 2 515 83 7 1 20 3 283 345 60 13 34 4 9 289 330 94 7 66
Inst
itutio
nal
owne
rshi
p qu
intil
e
5 8 94 313 349 165 Median capitalization 59.4 239.8 604.9 1,408.9 4,967.8
30
Table II Calendar Year Regression of Change in Analyst Following On Its Determinants
This table presents a calendar year firm fixed effects regression of the change in the number of analysts following a firm on the determinants of change in analyst following. The sample consists of all firms-years between 1984 and 2004 such that there is at least one analyst following each firm each year and the previous year. Δcap decile is measured relative to NYSE capitalization deciles. Δinstitutional breadth is the change in the number institutions that own the stock each year relative to the previous year and scaled by the total number of institutions the previous year. Δturnover percentile is measured relative to other firms listed on the same exchange as the firm. The equity issuance dummy equals one if the firm issues equity this year and zero otherwise. The acquirer dummy equals one if the firm completes an acquisition this year and zero otherwise. Return on equity is scaled by the mean of book value of equity this year and last year. Capital expenditures are scaled by the mean of total assets this year and last year. For comparability, the impact on the change in the number of analysts following a firm from a one standard deviation increase in each of the explanatory variables is also presented.
Δnumber of analysts
b se(b)
Δnumber of analysts change from a one standard deviation increase in variable
Δcap decile 0.137*** (7.60) 0.12 Δinstitutional breadth 18.891*** (25.29) 0.34 Δturnover percentile 0.006*** (7.19) 0.08 raw stock return this year 0.090*** (2.86) 0.05 raw stock return last year 0.701*** (33.67) 0.42 market return 1.534*** (21.65) 0.26 Δbook-to-market 0.026 (1.47) 0.02 equity issuance dummy 0.493*** (10.63) acquirer dummy 0.023 (0.61) Δreturn on equity 0.048 (1.55) 0.02 Δsales growth -0.039 (1.59) -0.02 Δcapex 0.540** (2.41) 0.03 Constant -0.419*** (25.95) Number of firm-years 49247 Number of firms 7890 R-squared 0.091
31
Table III Calendar Year Change in Analyst Following and Returns
This table presents sample means in Panel A and firm fixed effects regressions in Panel B examining change in analyst following and returns last year, this year, and next year. The sample consists of all firms-years between 1984 and 2004 such that there is at least one analyst following each firm each year and the previous year. Panel A presents mean excess of market returns last year, this year, and next year by analyst following increases, no changes, and decreases. Panel B presents the results of regressions of returns last year, this year, and next year on change in analyst following this year. The Fama-French three factors plus momentum are included as explanatory variables in Panel B. Panel A: Mean returns conditional on change in analyst following
excess returnt-1 excess returnt excess returnt+1 Increase 19.3 9.3 -1.7
No change 0.6 -1.1 0.2
Ana
lyst
fo
llow
ing
Decrease -8.4 -8.0 4.7 Decrease-increase return spread -27.7 -17.2 6.4 t-statistic for H0: increase - decrease = 0 53.38 34.63 -12.26 Number of firm-years 62543 66627 61892
Panel B: Regressions of returns on change in analyst following
excess returnt-1 excess returnt excess returnt+1 b se(b) b se(b) b se(b) Δfollowingt 0.121*** (40.53) 0.032*** (11.88) -0.080*** (28.59) ln(followingt-1) 0.014*** (2.77) -0.160*** (32.70) -0.174*** (34.67) Δfollowingt×ln(followingt-1) -0.034*** (28.25) -0.010*** (8.68) 0.023*** (20.63) Rm-Rf 1.015*** (65.56) 0.957*** (63.40) 0.933*** (60.16) SMB 0.779*** (38.57) 0.715*** (37.31) 0.687*** (34.62) HML 0.233*** (13.61) 0.233*** (14.22) 0.259*** (15.30) UML 0.059*** (2.95) -0.039** (2.05) -0.063*** (3.19) Constant -0.020** (2.18) 0.237*** (27.47) 0.289*** (32.26) Number of firm-years 62543 66627 61892 Number of firms 9948 10619 9723 R-squared 0.167 0.148 0.138
32
Table IV Analyst Following As Investor Recognition
This table presents firm fixed effects regressions examining change in analyst following and returns last year, this year, and next year. The sample consists of all firms-years between 1984 and 2004 such that there is at least one analyst following each firm each year and the previous year. Panel A presents the results of regressions of returns this year and next year on change in analyst following this year and change in institutional breadth this year. Panel B presents the results of regressions of returns this year and next year on changes in analyst following this year separated for high risk and low risk firms, where the risk of a firm is determined by whether the firm’s annualized standard deviation of monthly return this year is above or below the median for all CRSP firms this year. Panel C presents the results of regressions of equity issuance, acquisitions, and capital expenditures change on contemporaneous change in analyst following. The equity issuance dummy equals one if the firm issues equity this year and zero otherwise. The acquirer dummy equals one if the firm completes and acquisition this year and zero otherwise. The Fama-French three factors plus momentum are included as explanatory variables in all panels, though for expositional simplicity they are not reported. Panel A: Regressions of returns on change in analyst following and change in institutional breadth
excess returnt excess returnt+1 b se(b) b se(b) Δfollowingt 0.013*** (5.33) -0.076*** (26.58) ln(followingt-1) -0.145*** (32.31) -0.175*** (34.43) Δfollowingt×ln(followingt-1) -0.010*** (9.55) 0.023*** (20.04) Δinstitutional breadtht 13.462*** (111.83) -2.270*** (16.82) Constant 0.151*** (18.89) 0.303*** (33.12) Number of firm-years 64445 60102 Number of firms 10431 9595 R-squared 0.309 0.142
Panel B: Regressions of returns on changes in analyst following separated for high risk and low risk firms
excess returnt excess returnt+1 b se(b) b se(b) Δfollowingt×high riskt 0.037*** (13.28) -0.084*** (29.38) Δfollowingt×low riskt 0.016*** (5.04) -0.069*** (21.52) ln(followingt-1) -0.161*** (32.97) -0.173*** (34.54) Δfollowingt×ln(followingt-1) -0.007*** (5.87) 0.021*** (18.29) Constant 0.240*** (27.82) 0.286*** (31.99) Number of firm-years 66627 61892 Number of firms 10619 9723 R-squared 0.150 0.139
Panel C: Regressions of financing and investment on change in analyst following
equity issuance dummyt acquirer dummyt Δcapext b se(b) b se(b) b se(b) Δfollowingt 0.047*** (34.86) 0.016*** (9.94) 0.003*** (8.07) ln(followingt-1) -0.004* (1.81) 0.034*** (11.64) -0.003*** (5.23) Δfollowingt×ln(followingt-1) -0.015*** (26.73) -0.004*** (5.48) -0.001*** (5.89) Constant 0.077*** (19.54) 0.073*** (15.50) -0.000 (0.35) Number of firm-years 66650 66650 50977 Number of firms 10621 10621 8065 R-squared 0.035 0.004 0.005
33
Table V Calendar Year Changes in Analyst Following Confirmed or Contradicted By Changes in Analysts’
Consensus Recommendations or Changes in Institutional Ownership and Returns This table presents mean excess of market returns this year and next categorized by confirmed or contradicted change in analyst following. The sample consists of all firms-years between 1984 and 2004 such that there is at least one analyst following each firm each year and the previous year. Firms are first grouped by analyst following increases, no changes, and decreases. Then, firms are separated into strict changes by whether they are confirmed or contradicted by changes in analysts’ consensus recommendations in one instance and by changes in institutional ownership in another. Mean returns are also presented for increases and decreases. Pairs indicated by a, b, c, d, and e denote statistical significance at the 1% level for a difference in means test.
Mean excess returns conditional on whether changes in analyst following are confirmed or contradicted
by changes in analysts’ consensus recommendation by changes in institutional ownership
This year Next year This year Next year Following increase mean return 10.5 -1.1 9.2 -1.6 Following increase, confirmed (↑↑) 23.8a,c -1.6e 22.6a,c -1.6e Following increase, contradicted (↑↓) -0.4a -0.6 -27.3a -1.2 No following change 0.9 1.8 -2.2 0.3 Following decrease mean return -6.6 6.8 -8.0 4.7 Following decrease, contradicted (↓↑) 12.1b 4.3d 14.3b 2.2d Following decrease, confirmed (↓↓) -19.1b,c 8.4d,e -31.6b,c 7.5d,e Number of firm-years 38358 35164 64445 60102
34
Table VI Calendar Year Change in Analyst Following and Operating Performance
This table presents sample means of operating performance measures this year and next categorized by confirmed or contradicted change in analyst following. The sample consists of all firms-years between 1984 and 2004 such that there is at least one analyst following each firm each year and the previous year. Panel A presents sample mean operating performance measures this year and next year by analyst following increases, no changes, and decreases. Panel B presents sample mean operating performance measures this year and next year by changes in analyst following this year, where increases and decreases are separated by whether they are confirmed or contradicted by analysts’ consensus recommendation changes. Return on equity is scaled by the mean of book value of equity this year and last year. Capital expenditures are scaled by the mean of total assets this year and last year. Pairs indicated by a, b, c, d, and e denote statistical significance at the 1% level for a difference in means test. Panel A: Mean operating performance measures conditional on change in analyst following
Return on equity Sales growth Capital expenditures
This year Next
year This year Next
year This year Next
year Increase 9.4% 7.5% 29.0% 20.8% 8.3% 7.8%
No change 3.0% 2.5% 17.2% 13.9% 6.9% 6.4%
Ana
lyst
fo
llow
ing
Decrease 1.8% 2.5% 12.0% 9.7% 6.7% 6.1%
t-statistic for H0: increase - decrease = 0 28.31 17.05 36.14 28.04 20.83 23.70
Number of firm-years 62690 59516 62181 59118 55975 53143
Panel B: Mean operating performance measures conditional on changes in analyst following confirmed or contradicted by analysts’ consensus recommendation changes
return on equityt
return on equityt+1
sales growtht
sales growtht+1
capext capext+1
Following increase, confirmed (↑↑) 8.7a,c 7.5d,f 35.0c 27.8d,f 7.7a,c 7.7d,f
Following increase, contradicted (↑↓) 6.5a 4.6d 34.8 21.1d 8.0a 7.1d
No following change 1.5 1.4 19.9 16.6 6.5 6.1 Following decrease, contradicted (↓↑) 4.5b 5.6e 15.0b,c 14.3e 6.5 6.2e
Following decrease, confirmed (↓↓) -1.0b,c -0.7e,f 12.8b,c 8.0e,f 6.5c 5.4e,f
Number of firm-years 37035 34651 36811 34496 32919 30875
35
Table VII Mean Returns Next Year Conditional on Change in Analyst Following This Year and Valuation Proxies This
Year This table presents mean excess of market returns by fifteen categories of three change in analyst following groups and valuation quintiles. The sample consists of all firms-years between 1984 and 2004 such that there is at least one analyst following each firm each year and the previous year. Valuation quintile breakpoints are based on all Compustat firms in a given year. Sales growth is measured over the last five years. Turnover is mean monthly ratio of monthly volume to month end shares outstanding. Panel A: Mean returns next year conditional upon change in analyst following this year and book-to-market quintile this year
Book-to-market quintile Glamour Value 1 2 3 4 5
Mean for change in analyst following
t-statistic for H0: value = glamour
Increase -3.2 -2.6 -0.5 0.9 -1.9 -1.6 0.82
No change -3.4 -2.7 2.4 1.9 1.6 0.3 2.82
Ana
lyst
fo
llow
ing
Decrease 2.2 1.5 4.9 7.5 8.1 4.9 3.37 Increase minus decrease -5.3 -4.1 -5.4 -6.6 -10.0 -6.5
t-statistic for H0: increase - decrease = 0 3.75 4.09 5.65 5.78 5.27
Number of firm-years 58121
Panel B: Mean returns next year conditional upon change in analyst following this year and cash flow-to-price quintile this year
Cash flow-to-price quintile Glamour Value 1 2 3 4 5
Mean for change in analyst following
t-statistic for H0: value = glamour
Increase -3.2 0.3 -0.7 0 1.1 -0.7 3.33
No change -2.8 -0.6 1.2 3.2 1.9 0.7 2.66
Ana
lyst
fo
llow
ing
Decrease 1.1 3.2 4.5 4.4 6.1 3.9 3.06 Increase minus decrease -4.4 -2.9 -5.2 -4.4 -5.0 -4.6
t-statistic for H0: increase - decrease = 0 3.3 2.84 5.21 4.18 3.09
Number of firm-years 49746
36
Panel C: Mean returns next year conditional upon change in analyst following this year and sales growth quintile this year
Sales growth quintile Glamour Value 1 2 3 4 5
Mean for change in analyst following
t-statistic for H0: value = glamour
Increase 0.7 1.3 1.1 1.4 0 0.9 -0.41
No change 3 1.7 2.6 2.4 1.7 2.3 -0.63
Ana
lyst
fo
llow
ing
Decrease 4.3 3.8 4.4 7.3 6.7 5.4 1.33 Increase minus decrease -3.7 -2.5 -3.3 -5.9 -6.7 -4.5
t-statistic for H0: increase - decrease = 0 1.92 2.21 3.1 4.94 4.61
Number of firm-years 36297
Panel D: Mean returns next year conditional upon change in analyst following this year and turnover quintile this year
Turnover quintile Glamour Value 5 4 3 2 1
Mean for change in analyst following
t-statistic for H0: value = glamour
Increase -4.0 -2.1 0.0 1.0 0.5 -1.7 3.99
No change -7.9 -1.8 1.6 4.0 4.2 0.2 8.66
Ana
lyst
fo
llow
ing
Decrease 1.5 5.4 6.7 5.7 4.1 4.7 1.79 Increase minus decrease -3.6 -4.7 -6.7 -7.5 -5.5 -6.4
t-statistic for H0: increase - decrease = 0 4.85 7.24 6.37 4.23 2.51
Number of firm-years 61871
37
Table VIII Robustness Tests
This table presents various firm fixed effects robustness tests of the main result presented in Panel B of Table III. The sample consists of all firms-years between 1984 and 2004 such that there is at least one analyst following each firm each year and the previous year. Panel A presents regressions of excess of market return next year for four intervals of five years each. Panel B presents regressions of excess of market return next year on change in analyst following this year scaled by analyst following last year. Panel C presents regressions of excess of market return one, two, and three years into the future on change in analyst following this year. Panel D presents regressions of excess of market return next year on analyst following this year and next. Panel E presents regressions of excess of market returns next year on change in analyst following this year but with various restrictions on the magnitude of change in analyst following. The Fama-French three factors plus momentum are included as explanatory variables in all panels but for expositional simplicity they are not reported. Panel A: Calendar year regressions of returns on change in analyst following by five year intervals
excess returnt+1 1985-1989 1990-1994 1995-1999 2000-2004 b se(b) b se(b) b se(b) b se(b) Δfollowingt -0.059*** (10.70) -0.118*** (15.69) -0.102*** (13.51) -0.117*** (19.92) ln(followingt-1) -0.161*** (12.26) -0.268*** (16.15) -0.213*** (12.19) -0.172*** (12.52) Δfollowingt×ln(followingt-1) 0.016*** (7.70) 0.033*** (11.31) 0.030*** (10.01) 0.033*** (14.13) Constant 0.248*** (9.99) 0.462*** (16.35) 0.377*** (10.13) 0.014 (0.23) Number of firm-years 11967 13898 18354 15485 Number of firms 3744 4193 5989 4413 R-squared 0.206 0.142 0.059 0.264
Panel B: Calendar year regressions of returns on relative change in analyst following by lagged analyst following quintiles
excess returnt+1 Least followed Most followed 1 2 3 4 5 b se(b) b se(b) b se(b) b se(b) b se(b) Δfollowingt/followingt-1 -0.091*** (12.93) -0.201*** (11.01) -0.212*** (13.93) -0.256*** (13.80) -0.147*** (7.16) Constant 0.031*** (3.13) 0.032** (2.24) 0.001 (0.06) 0.007 (0.80) 0.013* (1.91) Number of firm-years 18192 8406 11812 11401 12081 Number of firms 6509 4334 4537 3312 1829 R-squared 0.122 0.176 0.137 0.151 0.129
38
Panel C: Calendar year regressions of returns one, two, and three years into future years on change in analyst following this year excess returnt+1 excess returnt+2 excess returnt+3 b se(b) b se(b) b se(b) Δfollowingt -0.080*** (28.59) -0.047*** (15.31) -0.029*** (8.75) ln(followingt-1) -0.174*** (34.67) -0.110*** (19.90) -0.079*** (13.26) Δfollowingt×ln(followingt-1) 0.023*** (20.63) 0.015*** (12.02) 0.009*** (6.85) Constant 0.289*** (32.26) 0.201*** (20.59) 0.152*** (14.46) Number of firm-years 61892 54459 47848 Number of firms 9723 8607 7637 R-squared 0.138 0.126 0.119
Panel D: Calendar year regression of returns next year on change in analyst following this year and next year
excess returnt+1 Even years only Odd years only b se(b) b se(b) Δfollowingt -0.089*** (19.85) -0.074*** (18.97) ln(followingt-1) -0.185*** (24.91) -0.172*** (26.21) Δfollowingt×ln(followingt-1) 0.025*** (13.93) 0.022*** (14.23) Constant 0.329*** (23.10) 0.253*** (20.69) Number of firm-years 32041 29851 Number of firms 8987 8810 R-squared 0.114 0.127
Panel E: Calendar year regressions of returns on change in analyst following by magnitude of change in analyst following
excess returnt+1 Δfollowingt not restricted |Δfollowingt|∈[0,1,2,3,4] |Δfollowingt|∈[0,1] b se(b) b se(b) b se(b) Δfollowingt -0.080*** (28.59) -0.092*** (25.93) -0.114*** (13.74) ln(followingt-1) -0.174*** (34.67) -0.175*** (33.48) -0.163*** (24.16) Δfollowingt×ln(followingt-1) 0.023*** (20.63) 0.029*** (18.15) 0.039*** (8.43) Constant 0.289*** (32.26) 0.277*** (30.76) 0.210*** (20.80) Number of firm-years 61892 57801 37632 Number of firms 9723 9618 8864 R-squared 0.138 0.136 0.123
39
Figure 1-A: Size of typical firm followed by analysts each year
560.
2 732.
0
799.
8
749.
8
802.
6
963.
5
925.
0 1,24
8.3
1,29
6.7
1,30
9.6
1,16
3.1
1,49
9.8
1,68
7.1
2,05
7.5
2,58
8.4
3,45
6.2
3,48
0.5
3,45
1.2
2,93
3.4
3,91
7.6
4,26
6.3
2,33
4.5
2,99
3.9
3,38
7.7
3,44
0.2
3,77
5.8
4,68
1.7
4,35
5.6
5,63
9.9
6,00
5.6
6,54
0.6
6,64
1.5
9,11
3.0
11,1
83.2
14,9
94.5
19,8
26.5
24,3
70.5
23,2
52.5
20,9
13.3
16,0
87.6
20,5
13.6
22,5
78.1
100
1,000
10,000
100,000
1984 1986 1988 1990 1992 1994 1996 1998 2000 2002 2004
Year
Mar
ket c
apita
lizat
ion
($ m
illion
)
Mean market capitalization of firms followed by analysts Mean market capitalization of S&P 500 firms Figure 1-B: Distribution of analyst following each year
0
5
10
15
20
25
30
1984 1986 1988 1990 1992 1994 1996 1998 2000 2002 2004
Year
Num
ber o
f ana
lyst
s
5th percentile Median Mean 95th percentile Figure 1. Summary statistics for analyst following each year. The sample consists of all firms-years between 1984 and 2004 such that there is at least one analyst following each firm each year and the previous year. Panel A shows each year the mean market capitalization of firms followed by analysts and of S&P 500 firms. Panel B shows each year the mean and median and 5th and 9th percentile of the number of analysts following firms.
40
Figure 2-A: Distribution of change in analyst following each year
-6
-4
-2
0
2
4
6
8
1984 1986 1988 1990 1992 1994 1996 1998 2000 2002 2004
Year
Cha
nge
in n
umbe
r of a
naly
sts
5th percentile Median Mean 95th percentile Figure 2-B: Relative percentage of changes in analyst following by year
0%
10%
20%
30%
40%
50%
60%
70%
80%
90%
100%
1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004
Year
Anal
yst f
ollo
win
g ch
ange
Decrease No change Increase Figure 2. Summary statistics for change in analyst following each year. The sample consists of all firms-years between 1984 and 2004 such that there is at least one analyst following each firm each year and the previous year. Panel A shows each year the mean and median and 5th and 9th percentile of the change in the number of analysts following firms. Panel B shows each year the relative percentage of increases, no changes, and decreases in the number of analysts following firms.
41
Figure 3-A: Number of analysts following a firm this year if 2 analysts followed the firm last year
Figure 3-B: Number of analysts following a firm this year if 4 analysts followed the firm last year
Figure 3-C: Number of analysts following a firm this year if 9 analysts followed the firm last year
Figure 3. Number of analysts following a firm this year conditional on analyst following last year. The sample consists of all firms-years between 1984 and 2004 such that there is at least one analyst following each firm each year and the previous year. Panels A, B, and C show the distribution of the number of analysts following a firm this year conditional on 2, 4, and 9 analysts following the same firm last year, respectively, these being the 25th, 50th, and 75th percentiles of the distribution of analyst following last year, respectively.