ssrn-id2625614
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SSRN-id2625614TRANSCRIPT
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Electronic copy available at: http://ssrn.com/abstract=2625614
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Can Anomalies Survive Insider Disagreements?
Deniz Anginer, Gerard Hoberg and Nejat Seyhun*
July 1, 2015
Abstract
Many studies show that future stock returns are predictable. These findings are consistent with
either mispricing or risk-based asset pricing models that capture the cross section of expected
returns. In this paper, we use a large backward-extended insider trading database from 1975 to
2013 to construct anomaly-specific measures of mispricing that are designed to be unrelated to
risk. We find that the predictive ability of both insider trading and anomalies survives when the
direction of insider trading agrees with the anomaly but the predictive ability of the anomalies
completely disappears when insider trading disagrees with the anomaly. In all cases, insider
trading continues to predict future abnormal returns. We conclude that mispricing is an
important component of the predictive ability of all thirteen anomalies we consider.
JEL Classifications: G11, G12, G14, G17
Keywords: Anomalies, behavioral finance, asset pricing, factor models, market efficiency, and insider trading ______________
* Deniz Anginer, Virginia Tech, [email protected]; Gerard Hoberg, University of Southern California,
[email protected]; Nejat Seyhun, University of Michigan, [email protected] . We thank Ivana Mrazova
for excellent research assistantship.
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Electronic copy available at: http://ssrn.com/abstract=2625614
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1. Introduction
A large body of literature shows predictable patterns in security returns that appear to
conflict with the central paradigms of market efficiency and commonly used parsimonious asset
pricing models.1 Since there is no commonly accepted explanation, these patterns are called
anomalies.2 In spite of voluminous research on these anomalies, there is little consensus as to
whether these predictable return patterns require a modification to the market efficiency
paradigm or to the asset pricing paradigm.3 In this study, we utilize long time-series and cross-
sectional data on insider trading to test if the sources of 13 anomaly returns are due to
informational inefficiencies.
Fifty years of research on insider trading has established that corporate insiders are
among the most sophisticated investors when it comes to identifying potential mispricing of their
own stock.4 Using both private and public information, insiders can and do accurately identify
times when their own firms common stock becomes over- or underpriced and they trade to
exploit such mispricing. Insiders buy before an abnormal stock price increase and sell before an
abnormal stock price decline. Given the consensus that insiders do identify mispricing in their
own firms, we ask whether previously discovered anomaly returns are due to the same
mispricing identified by insiders, or whether these anomalies exist beyond any information
already identified by insiders. An important advantage of our back-extended insider trading
database is the availability of long time-series (almost 40 years) and universal coverage of all
publicly listed firms.
1 The anomaly literature is large. See for a partial list of anomalies: Basu (1977), Ball (1978), Ohlson (1980), Banz
(1981), Rosenberg, Reid, and Lanstein (1985), Fama and French (1993), Jegadeesh and Titman (1993), Carhart
(1997), Davis, Fama and French (2000), Jegadeesh and Titman (2001), Hirshleifer, Hou, Teoh, and Zhang (2004),
Titman, Wei, and Xie (2004), Livnat and Mendenhall (2006), Daniel and Titman (2006), Cooper, Gulen and Schill
(2008), Fama and French (2008), Pontiff and Woodgate (2008), and Novy-Marx (2012, 2013). 2 Green, Hand and Zhang (2013) report over 330 return predictive signals. For 39 of these that are readily
programmable, they report average correlation to be near zero, indicating that the number of rationally priced risk
factors are likely to be implausibly large. 3 Fama and French (2008), Brav, Heaton and Li (2010), Subrahmanyam (2010), Richardson, Tuna and Wysocki
(2010), Green, Hand and Zhang (2013, 2014), Hanson and Sunderam (2014), Stambaugh, Yu and Yuan (2012,
2014), Harvey, Liu and Zhu (2015) and McLean and Pontiff (2013) 4 Corporate insiders are officers, directors and large shareholders of public corporations. Information content of
insider trading is well established for almost 50 years. See for instance, Lorie and Niederhoffer (1968), Jaffe (1974),
Finnerty (1976), Seyhun (1986, 1988, 1992, 1998), Rozeff and Zaman (1988), Lin and Howe (1990), Bettis,
Vickrey and Vickrey (1997), Lakonishok and Lee (2001), Jeng, Metrick, and Zeckhauser (2003), Scott and Xu
(2004), Piotroski and Roulstone (2005), Jenter (2005), Marin and Olivier (2008), Cohen, Malloy, and Pomorski
(2012).
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Potential explanations for anomalous stock return patterns can be grouped into two broad
categories, each with different testable implications when compared to insider trading patterns.
The first group of explanations points to inadequacies in measuring risk properly, since theory
gives only limited guidance for measuring risk.5 To the extent that some anomalous forecasting
variables are correlated with an unmeasured true risk variable, it would not be surprising if they
forecast future stock returns. Suppose that a particular stock is shocked with higher distress risk,
and its stock price falls as a result. In this case, the stock will have a lower market capitalization
and a higher book-to-market ratio. Higher future returns for this stock would be consistent with
compensation for the higher ex-post distress risk. In this case both firm size and book-to-market
variables will appear to forecast future stock returns.6
The second group of explanations relies on the premise that investor rationality is
bounded, investor attention is limited, investors have heterogeneous priorities, or investors are
subject to behavioral biases and arbitrage is costly. Consequently, market efficiency will not
always hold.7 Investors can overreact to more salient attention-grabbing information and
underreact to less salient information.8 This hypothesis predicts that stocks become mispriced
from time to time and this mispricing is captured by the anomaly regressions. For instance, a
higher book-to-market ratio can also result if the stock price falls too much due to an
overreaction or market inefficiency. As the mispricing is corrected over time, stock prices will
bounce back and provide higher future returns. Once again, under the second scenario both firm
size and book-to-market variables will also appear to forecast future stock returns.
Our paper contributes to this literature by using a novel method to identify likely
mispricing using a large backward-extended database of insider trading data covering 1975 to
2013. Because asset pricing anomalies are often established using long time series, we view this
database as crucial for providing adequate power to examine the sources of anomaly returns.
Our methodological innovation is that we use insider trading activity to construct anomaly-
specific measures of mispricing that should correlate little with risk. Our objective is to focus on
5 Ball (1978), Berk (1995), and Fama and French (1993, 1996), and Zhang (2005).
6 This argument is formalized in Berk (1995) and Berk, Naik and Green (1999).
7 Delong, et al, (1990), Shleifer and Summers (1990), Harris and Raviv (1993), Lakonishok, Shleifer, and Vishny
(1994), Kandel and Pearson (1995), Shleifer and Vishny (1997), Daniel and Titman (1997), Barberis and Huang
(2001), Hirshleifer (2001), Daniel, Hirshleifer and Teoh (2002), Barberis and Thaler (2003), Hirshleifer, Lim and
Teoh (2009), Hong, Torous, and Valkanov (2007), Hong and Stein (2003), Della Vigna and Pollet (2003), Hong,
Stein and Yu (2007), Baker and Wurgler (2007), and Hanson and Sunderam (2014). 8 Hirshleifer and Teoh (2003) and Peng and Xiong (2006).
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the ability of insiders to identify and trade on mispricing, which is well established.
Furthermore, our measures are based on both insider sales and purchases, and tag the same
individual stocks as both overvalued and undervalued over time. This allows us to predict when
given stocks will experience anomaly returns, and when they will not. In contrast, we do not
expect firms to frequently switch from high risk to low risk or vice versa.
We also note that an increase in risk (which would be associated with positive future
returns) is not likely to induce undiversified, risk-averse insiders to increase their purchases in
their own employers stock as would be necessary to explain our results through a potential risk
channel. If anything, an increase in risk is likely to induce undiversified investors such as
insiders to trim their positions in their own employers stock, thus predicting insider sales.
Hence for both empirical and theoretical reasons, any traction we find in explaining anomalies
using our anomaly specific mispricing measures likely cannot be explained by systematic risk
exposures.
To further alleviate concerns that insider trading can proxy for risk, we examine the
predictability of anomalies when insiders agree or disagree with the direction of returns implied
by a given anomaly. In particular, our central test asks whether anomalies only produce
abnormal returns when insiders are trading in a direction that agrees with the direction of the
anomaly, or whether anomalies can still predict returns even when insiders are trading in the
opposite direction, while fully controlling for any return predictability attributable to the level of
insider trading activity itself. We consider this test both in time series and in cross section. This
approach has not been considered in past studies. To implement our approach for a given
anomaly, we compare the direction of insider trading to the predicted direction of the anomaly,
and tag each stock in each month based on the agreement or disagreement between the two. For
instance, a stock may exhibit a low book-to-market ratio. In this case, the value anomaly on
average predicts low future stock returns. Based on observed insider trading, we then classify
this stock into one of three separate groups, 1) insiders agree with the anomaly if insiders are
selling, 2) insiders disagree with the anomaly if insiders are buying, and 3) insiders are neutral if
they are not trading. If instead a stock exhibits a high book-to-market ratio, then the first two
groups are reversed as insider agreement would be revealed if they are buying rather than selling.
Hence, as insider trading is stochastic, the insider agreement variables load both on insider
purchases and insider sales at different times. By using insider agreement minus disagreement
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instead of raw insider trading, we thus further reduce the likelihood that these measures can
proxy for risk.
The testable implications are as follows. Under efficient-markets (the risk hypothesis) the
predictive ability of anomalies should not on average be affected by the presence of insider
agreement or disagreement. Investors should demand higher compensation for higher risk at all
times, regardless of the direction of insider trading. Thus, we would expect large firms and low
book-to-market stocks to exhibit lower future returns and small firms and high book-to-market
stocks to exhibit higher future returns regardless of whether insiders agree, disagree or are
neutral. Raw insider trading controls should maintain their predictive power if insiders
additionally have access to private information, and their inclusion should not significantly affect
the anomaly coefficients.
Under the market inefficiency hypothesis, we would expect the predictive ability of
anomalies to be strongest in time periods when insiders agree with the anomaly, and to be absent
or even reversed when insiders disagree with the anomaly. Suppose that a given stock
experiences substantial decline in price relative to its book value of equity, thus resulting in a
high book-to-market ratio. Also suppose that insiders are selling this stock. In this case, there is
a disagreement between anomaly and insider trading, and the inefficiency hypothesis would
predict no value premium. If instead, insiders are buying, then we predict a strong value
premium that is likely due to misvaluation even controlling for the expected price impact of the
level of insider trading itself.
Our evidence indicates that, conditional on insider agreement, both lagged insider trading
and the 13 asset pricing anomalies we consider retain their predictive ability and also become
economically large. This finding is consistent with the interpretation that both insider trading
and anomalies represent noisy measures of underlying mispricing, which are not completely
subsumed by the other variable. Consequently, they both survive in a horse race.
However, conditional on insider disagreement, the predictive ability of anomalies
remarkably disappears for all 13 anomalies, even while the predictive ability of lagged insider
trading levels survives. When there is disagreement, insider trading correctly identifies the
future direction of stock returns while the anomalies do not. The fact that anomalies lose their
predictive power when insiders disagree with the anomaly suggests that there would be no
compensation for risk at these times. This interpretation does not square well with the efficient-
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markets risk-based hypothesis, since investors should continue to demand higher compensation
for risk. Evidence also shows that, for some anomalies including Ohlsons-O score and
composite equity issuance, the direction of future stock returns is reversed and is opposite of that
predicted by the anomaly when insiders disagree. A risk-based story would then have to explain
why the risk-premium would have one sign when insiders agree, and another when insiders
disagree, which seems difficult to do. Overall, while we cannot rule out the risk hypothesis, our
evidence indicates that market mispricing likely plays an important role in all 13 anomalies we
test. We find that a dominant portion of the information content of anomalies comes from
periods when there is agreement with insider trading signals. When there is disagreement, the
predictive ability of the anomalies disappears.
Our contributions are three-fold: (1) we provide a general testing framework for assessing
whether any anomaly (including those not yet discovered) is likely due to risk factors or potential
market mispricing, (2) we provide evidence that 13 well-established anomalies in the literature
lose their predictive ability when confronted with insider disagreements, and (3) we provide new
information to potential investors who invest in anomalies. Sorting on any given anomaly alone
might be inadequate to capture all available mispricing. Investors can jointly consider insider
trading and anomaly signals, and might time anomaly investments to episodes when they will
deliver superior returns.
Our paper is organized as follows: Section 2 reviews the literature on asset pricing
anomalies for each of the 13 anomalies analyzed in this paper. We also review the literature
regarding the sources of the underlying predictive ability of the anomalies. Section 3 discusses
our data and construction of insider scores. Section 4 presents our findings and robustness
checks. Section 5 concludes.
2. Anomalies and Related Literature
Standard models of risk such as Sharpe (1964) and Lintner (1965) have difficulty in
explaining the return variations associated with common anomalies. Subsequent extensions of
the standard models by adding book-to-market, size and momentum factors also fail to explain
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most of the anomalous predictions.9 In this paper, we reexamine returns for 11 anomalies
identified in Stambaugh, Yu, and Yuan (2012, 2014). To this list, we add the post-earnings
stock price drift, book-to-market and firm size. Also, we use a single measure of bankruptcy
probability, Ohlsons-O measure.10 As a result, we consider 13 anomalies.
For all anomalies other than book-to-market, size, and momentum, we control for the 3-
factor Fama and French (1993) model. For firm size and book-to-market, we delete the anomaly
under investigation from this asset pricing model, but keep the remaining two factors. The
anomalies investigated in this paper are:
1) Post-earnings announcement drift, where stock prices drift in the same direction of the
earnings surprise (actual earnings minus expected earnings) over a period of several weeks or
months.11
If the earnings surprise is positive, then the future stock price drifts upward. If the
earnings surprise is negative, then the future stock price drifts downward. Drift is robust to
measuring expected earnings using both times-series models as well as analyst forecasts. The
market inefficiency interpretation of the post-earnings drift is that investors underreact to the
current earnings surprise information. Over time, as prices incorporate more of the fundamental
information, stock prices drift in the same direction as the earnings surprise. The risk-based
explanation states that higher returns proxy for higher risk.
2) Net operating assets, scaled by total assets, which predict negative long-run stock
returns. Higher net operating assets are associated with lower future profitability and lower
future stock returns.12
Hirshleifer, Hou, Teoh and Zhang (2004) suggest that investors overreact
to current accounting profitability relative to cash profitability, even though higher operating
earnings relative to cash earnings also indicates lack of sustainability of recent earnings
performance. Under this hypothesis, lower future returns suggest that overreaction is corrected
when lower future earnings performance is revealed.
9 See Fama and French (1993) and Carhart (1997). Fama and French (1992, 1996) show that other anomalies such
as leverage, dividend-yield, and earnings-to-price rations are explained by market, size and book-to-market factors. 10
We obtain similar results using instead the Merton distance-to-default measure or the Campbell, Hilscher, Szilagyi
(2008) default probability measure. 11
See Ball and Brown (1968), Jones and Litzenberger (1970), Latane, Joy and Jones (1970), Latane and Jones
(1979), Rendlemen, Jones, and Latane (1982), Foster, Olsen and Shevlin (1984), Bernard and Thomas (1989,
1990), Affleck-Graves and Mendenhall (1992), Abarbanell and Bernard (1992), Bartov, Radhakrisnan and Krinsky
(2000), Collins and Hribar (2000), Narayanamoorthy (2003), Liang (2003), Livnat (2003), and Mendenhall (2004),
and Livnat and Mendelhall (2006). 12
Sloan (1996), Barton and Simko (2002), Hirshleifer, Hou, Teoh, Zhang (2004).
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3) Gross profitability (defined as revenues minus cost of goods sold, divided by assets),
which is associated with higher future stock returns.13
Novy-Marx (2012) finds that sorting on
gross profit-to-assets creates abnormal benchmark-adjusted returns, with more profitable firms
having higher returns than less profitable firms and argues that gross profits scaled by assets is
the cleanest accounting measure of true economic profitability. The farther down the income
statement one goes, the more polluted profitability measures become, and the less related they
are to true economic profitability. The market inefficiency interpretation suggests that investors
underreact to higher gross profitability, which indicates more productive assets. Over time, as
the under-reaction is corrected, future returns are higher. The risk-based hypothesis states that
higher profitability proxies for higher risk.
4) Return on assets, which predicts higher future stock returns.14
Fama and French
(2006) show that more profitable firms have higher expected returns than less profitable firms.
Chen, Novy-Marx, and Zhang (2010) show that firms with higher past return on assets earn
abnormally higher subsequent returns. Wang and Yu (2010) find that the anomaly exists
primarily among firms with high arbitrage costs and high information uncertainty, suggesting
that mispricing is likely at work. The market inefficiency interpretation is similar to gross
profitability. The risk-based hypothesis states that higher profitability itself proxies for higher
risk.
5) Higher investment in assets (annual change in gross property, plant, and equipment
plus the annual change in inventories scaled by the lagged book value of assets) is associated
with lower future stock returns.15
Titman, Wei and Xie (2004) interpret the predictive ability of
investments in assets as consistent with the empire building hypothesis. Under this hypothesis,
lower future returns suggest that investors typically underreact to empire building implications.
6) Higher asset growth (one year percentage change in total assets) is negatively related
to future stock returns. 16
Higher asset growth is similar to higher investments in assets. Cooper,
Gulen, and Schill (2008) find that firms that grow their total assets more earn lower subsequent
returns. They interpret their findings as consistent with an investors initial overreaction to
positive changes in future business prospects implied by asset expansions.
13
Novy-Marx (2012, 2013). 14
Haugen and Baker (1996), Cohen, Gompers, Vuolteenaho (2002), Fama and French (2006. 2008). 15
Fairfield, Whisenant and Yohn (2003), Titman, Wei and Xie (2004). 16
Cooper, Gulen and Schill (2008).
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7) Higher book-to-market is associated with higher future stock returns.17
The market
inefficiency interpretation is that variations in book-to-market ratio capture underreaction to
fundamental information. As the underreaction is corrected over time, higher book-to-market
firms generate higher future stock returns, while lower book-to-market ratio firms generate lower
future stock returns. The risk-based hypothesis states that book-to-market proxies for distress
risk.
8) Net stock issuance is negatively related to future stock returns.18
Ritter (1991) and
Loughran and Ritter (1995) find that equity issuers under-perform matching non-issuers with
similar characteristics in subsequent years. The market inefficiency interpretation of this finding
is that firms issue equity when it is overvalued and retire equity when it is undervalued.
Furthermore, investors underreact to net stock issuance decisions at the time of announcement.
9) Higher bankruptcy prediction scores are associated with not higher, but lower future
stock returns.19
The market inefficiency interpretation suggests that investors underreact to
income statement and balance sheet information for distressed firms. As the true condition of the
firm is revealed in the future, stock prices decline. We use Ohlson (1980) O-score as the distress
measure. The Ohlsons O-score is calculated as the probability of bankruptcy in a static model
using accounting variables, such as net income divided by assets, working capital divided by
market assets, and current liability divided by current assets.20
10) Higher accruals are associated with lower future stock returns.21
Total accruals are
calculated as changes in noncash working capital minus depreciation expense scaled by average
total assets for the previous two fiscal years. Sloan (1996) shows that firms with high accruals
earn abnormal lower returns in the future relative to low accrual firms. Sloan (1996) suggests
that investors overestimate the persistence of the accrual component of earnings when forming
earnings expectations. Over time, as more fundamental information is revealed, these pricing
errors are corrected.
17
Rosenberg, Reid and Lanstein (1985), Chan, Hamao and Lakonishok (1991), Fama and French (1992, 1993). 18
Ikenberry, Lakonishok and Vermaelen (1995), Loughran and Ritter (1995), Daniel and Titman (2006) and Pontiff
and Woodgate (2008). 19
Altman (1968), Ohlson (1980), Zmijewski (1984), Campbell, Hilscher, and Szilagyi (2008) and Jackson and
Wood (2013). 20
The appendix provides the details of Ohlsons-O measure. 21
See Sloan (1996), Dechow, Khimich and Sloan (2011).
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11) Composite equity issuance is associated with lower future stock returns.22
Daniel and
Titman (2006) study an equity issuance measure, composite equity issuance, defined as the
amount of equity a firm issues or retires in exchange for cash or services. Under this measure,
seasoned issues and share-based acquisitions increase the issuance measure while repurchases,
dividends, and other actions that take cash out of the firm reduce this issuance measure. Daniel
and Titman (2006) find that issuers underperform non-issuers in the subsequent years. The
market inefficiency interpretation is similar to net stock issuance, in that managers engage in net
equity issuance when stock prices are high and purchase net equity when stock prices are low.
12) Small firms have higher average future returns than large firms.23
The market
inefficiency hypothesis suggests that investors discount the cash flows of small firms at a higher
rate than would be justified by systematic risk alone. Also, if stock prices fall too much, firm
size gets small. Subsequently, as pricing errors are corrected, small firms tend to have higher
positive future stock returns. The risk-based hypothesis states small firm size itself proxies for
higher systematic risk.
13) Momentum shows that firms with lower returns over the past 6 to 12 monthstend to
have lower stock returns in the next few months, and firms with higher returns over the past 6 to
12 tend to have higher returns in the next few months.24
Jegadeesh and Titman (1993) show that
high past recent returns forecast high future returns. Antoniou, Doukas, and Subrahmanyam
(2011) find that the momentum effect is stronger when sentiment is high, and they suggest this
result is consistent with the slow spread of bad news during high-sentiment periods.25
In addition
to market momentum, industry momentum also has predictive value which suggests it is also
potentially due to delayed information transmission and thus long-term valuation corrections.26
Despite decades of research, there is still little consensus as to why these anomalies
predict future returns. A likely reason is that the sorting variables, whether it is stock price,
profitability, asset productivity, average stock returns, recent stock returns, or firm size are
difficult to uniquely link to either mispricing or risk.
22
Ikenberry, Lakonishok and Vermaelen (1995), Loughran and Ritter (1995), Daniel and Titman (2006) and Pontiff
and Woodgate (2008). 23
Banz (1981), Fama and French (1993). 24
Jegadeesh and Titman (1993) and Novy-Marx (2012). 25
Hong and Stein (1999), Huberman and Regev (2001), Menzly and Ozbas (2006), Cohen and Frazzini (2008). 26
Moskowitz and Grinblatt (1999) and Hoberg and Phillips (2012). In the appendix, we provide additional
information on each anomaly and a detailed description of how these anomalies are constructed.
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Fama and French (1993) argue that small firm size and the value factor (namely high
book-to-market) proxy for a risk-based distress factor. Daniel and Titman (1997), however,
demonstrate that future returns are related to size and value characteristics but not the small-
minus-big (SMB) and high-minus-low (HML) factor loadings, which argues against the risk-
based interpretation. Davis, Fama and French (2000) then extend the sample of Daniel and
Titman and provide new evidence supporting the risk-based explanation. Going further,
Campbell, Hilscher, Szilagyi (2008) find that while distressed firms have high loadings on the
SMB and HML factors, they also generate lower returns, which once again argues against the
risk-based interpretation. In a review of the literature, Subrahmanyam (2010) states: Predictive
variables used emanate from informal arguments, alternative tests of risk-return models,
behavioral biases, and frictions. More than fifty variables have been used to predict returns. The
overall picture, however, remains murky, because more needs to be done to consider the
correlational structure amongst the variables, use a comprehensive set of controls, and discern
whether the results survive simple variations in methodology.
Other more recent studies also come to conflicting conclusions: Avramov, Chordia,
Jostova and Philipov (2013) find that, with the exception of the accruals anomaly, the
profitability of the price momentum, earnings momentum, credit risk, dispersion, idiosyncratic
volatility, and capital investments anomalies derive exclusively from periods of financial
distress. None of these strategies is profitable when periods surrounding credit rating
downgrades are excluded from the sample. This finding is consistent with the risk-based story.
In contrast, Hanson and Sunderam (2014) estimate the amount of capital devoted to equity
arbitrage strategies and find that the amount of capital devoted to exploiting the value and
momentum strategies has increased since the 1980s, thereby reducing the returns from these
strategies. This finding is consistent with mispricing argument.
Stambaugh, Yu and Yuan (2012, 2014) also conclude that the predictive ability of
anomalies arises from investor sentiment and limits to arbitrage. They show that anomaly
returns are stronger following high levels of sentiment, and that the short leg of the anomalies
accounts for most of the high performance. Similarly, using short interest data to proxy for short
arbitrage, Hwang and Liu (2014) provide evidence that anomalies with high average returns, low
risk, and diversification benefits are more popular among short arbitrageurs. Edelen, Ince and
Kadlec (2015) find that institutional investors contribute to the mispricing. They examine
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institutional demand around stock return anomalies. They find that institutions buy stocks with
anomaly characteristics that predict low returns. McLean and Pontiff (2013) estimate that the
post-publication decay in average returns from anomalies is about 35%. They also find that
stocks in characteristic portfolios experience higher volume, variance, short interest, and higher
correlations with portfolios that are based on published characteristics. Overall, they conclude
that mispricing is an important part of predictability. In contrast, however, Israel and Moskowitz
(2013) conclude that shorting is not important in generating profits for the value and momentum
strategies using a long sample from 1926 to 2011 for U.S firms and from 1972 to 2011 for
international firms.
Our paper contributes to this literature using a novel approach. Our key innovation is that
we use insider trading as a measure of mispricing. Furthermore, we construct these measures
such that they are unlikely to sort on risk. Following the recent literature,27
we examine
anomalies in a unified framework by comparing the predictive ability of each anomaly against
anomaly-specific insider trading variables. The unified framework allows us to focus on the
commonalities between anomalies and helps us explore a parsimonious explanation across all
anomalies. Second, we use a long time-series (almost 40 years) and universal cross-sectional
coverage during our sample. Third, we have a single all-inclusive proxy for mispricing based on
insider trading, which is relatively independent of variations in risk. We describe our data and
the construction of our insider trading variables next.
3. Data 3.1. Sample, Anomalies and Insider Score
We obtain stock price information from Center for Research in Security Prices (CRSP)
and financial statement data from the COMPUSTAT industrial files. The insider trading data
come from the union of the Thomson Reuters Insider Filing Data Feed (1996 to 2013) and
backward extensions using archived annual purchases from the National Archives (1975 to
1995). We henceforth refer to this database as the ``Back-Extended Thomson Reuters Database
or simply the combined insider trading database. Our sample includes U.S. common stocks
27
See Fama and French (1996, 2008), Stambaugh, Yu, and Yuan (2012), Hou, Xue and Zhang (2015), Avramov,
Chordia, Jostova and Philipov (2013), and Edelen, Ince and Kadlec (2015).
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(CRSP share codes of 10 or 11) that are covered by all three databases. The time period is from
January 1975 through December 2013. We restrict attention to this interval due to the
availability of insider trading data, which first becomes available in January of 1975. We
include firm month observations beginning only from the time when the firms first appear in the
combined insider trading database. We exclude utilities, financials, and stocks priced under $5.
Following Shumway (1997), we adjust monthly stock returns for delistings using the CRSP
monthly delisting file. Our final dataset has over 20,000 unique CUSIPs and over 1,000,000
firm month observations.
The combined Insider Filing Database includes all trades reported to the Securities and
Exchange Commission (SEC) - Ownership Reporting System. The data contains all open market
purchases and sales by officers, directors, and beneficial owners (direct or indirect owners of
more than 10% of any equity class of securities) of publicly traded firms.28
Shares acquired
through exercise of options, stock awards, and trades with corporations are excluded. The final
sample is limited to firms for which stock return data are available in CRSP. Finally, in order to
deal with potential misreports and incorrect outliers, three filters are used. On the insider
transaction date, (1) the insider transaction price must be less than twice the closing price of the
stock; (2) the number of shares of the insider transactions will be less than the daily volume of
trade of the stock; and (3) the number of shares of the insider transaction will be less than the
outstanding number of shares for the stock.29
The combined insider trading database provides two dates associated with an insider
transaction. The transaction date is the date of the actual transaction, when an insider sells or
purchases shares of their own company. The report date is the date when an insider transaction
is made public by the Securities and Exchange Commission. Although our main focus in this
paper is on the information content of insider trades (favors trade dates), we also consider the
28
For most of the sample period analyzed here (prior to August 29, 2002), Section 16(a) of the Securities and
Exchange Act requires that insider transactions be disclosed within the first 10 days of the month following the
month of the trade. Section 16(b) prohibits insiders from profiting from short-term price movements defined as
profitable offsetting pairs of transactions within 6 months of each other, while Section 16(c) prohibits profiting from
short-sales. Sarbanes- Oxley Act of 2002 (effective August 29, 2002) has modified insider trading regulations in
many significant ways. First, the new reporting requirement states that insider transactions must be reported
electronically by the end of the second business day following the day on which the transaction is executed both
through EDGAR and corporate public websites. Sarbanes-Oxley also prohibits purchase and sale of securities during
black-out periods. 29
Qualitative results do not change if these filters were not enforced. Results are available upon request.
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14
tradability by outside investors of the information contained in these transactions (favors report
dates). We thus carry out the analyses using both trade date and report date separately.
We create a standardized insider trading measure by normalizing total insider purchases
and sales in a given month. We use a standardized measure to account for the fact that, on
average, insiders tend to sell more shares than they buy. There is also cross-sectional variation in
this tendency to sell. Insiders in smaller firms are much less likely to sell compared to insiders in
larger firms. This tendency to sell has also been increasing over time due to changes in the
structure of executive compensation and the growing portion of compensation provided in the
form of stock options.30
For robustness, we repeat the analyses using actual shares traded without
standardization. We obtain qualitatively similar results, which are reported in Table 8, Panel B.
We create a standardized insider trading measure (Insider score) by normalizing the net
number of shares bought or sold by insiders in a given month. We first compute net insider
trades (NIT) for firm i in month t as the total number of shares insiders bought minus the total
number of shares insiders sold divided by the total number of shares outstanding at the end of
month t:
, = , ,
, (1)
If a firm has no observed insider trades in given month, it is assumed to have experienced zero
insider trading in that month and we assign an NIT value of zero to that firm. Next, we
standardize the NIT values for each firm and each month, using the average and standard
deviation of NIT values computed over 36 months. In computing the standardized insider trades,
the NIT average and standard deviation values are lagged by 12 months to ensure the
standardization itself is not what is informative. The standardized Insider score is computed as:
, = , ,12:48
,12:48 (2)
30
Seyhun (1998).
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15
We define insiders as buyers if the insider score is above 0.426, as sellers if the insider score
is below 0.426, and as neutral otherwise. The values 0.426 and -0.426 divide a standard
normal distribution into three equal probability groups. On average, insiders are classified as
buyers 8% of the time and as sellers 10% of the time in our sample. This is because a
substantial number of smaller firms have zero insider trades in some months.
Since we use anomaly characteristics in cross-sectional regressions, we winsorize all
variables except Size and Momentum at their 1st and 99
th percentile values. Table 1 provides
summary statistics for the anomaly characteristics and the insider score that we use in the
analyses. Table 2 shows the correlation between these variables. On average, the anomaly
characteristics are not highly correlated with each other. This observation is consistent with
Stambaugh, Yu and Yuan (2012) and Green, Hand and Zhang (2013) who find that the portfolio
returns of a large set of anomalies are also not highly correlated. The correlation of the insider
score with the anomalies is also not very high.31
This low correlation provides greater cross-
sectional variation when we examine the profitability of anomalies when insiders trade against or
consistent with a given anomaly.
Since we are trying to explain the time series variation in the returns of anomalies based
on insider trading, it is important for us to observe variation in insider trades when anomalies
predict both high and low returns. For instance, if insiders always buy high book-to-market
stocks, and always sell low book-to-market stocks, we would not have observations when
insiders are trading against the direction of returns implied by the book-to-market characteristic.
To examine this further, we report average insider scores for five groups of stocks sorted each
month based on anomaly characteristics. The averages are reported in the left panel of Table 3.
Stocks are sorted based on anomalies such that the high group is associated with higher future
returns. Consistent with the low correlations, we find that there is significant dispersion in
insider trading scores within each group. For most anomalies, insiders are contrarians. For
instance, insiders tend to sell when the stock price has gone up and momentum is high, and buy
when the stock price has gone down and momentum is low. The right panel of Table 3 reports
the average anomaly characteristics for three insider trading subsamples (buy, sell, and neutral)
31
The correlation does increase when we use discrete categorical values (-1, 0, 1) corresponding to buy, sell, neutral instead of the continuous insider score.
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16
created based on the insider scores as described in the previous section. We do observe some
differences in average anomalies across the groups but they are not economically significant.
3.2. Categorizing Insider Trading Strategies
Our goal in this paper is to test whether stock anomalies are driven by mispricing due to
informational inefficiencies. We do this by examining the profitability of stock anomalies
conditional on insiders agreeing with the direction of returns implied by these anomalies. If a
stock has an anomaly characteristic such that it predicts high returns in the future (high
momentum for instance), we examine the difference in future returns when insiders buy and thus
agree with the anomaly, and when insiders sell and thus disagree with the anomaly. Insiders are
well-known to trade in an opportunistic fashion exploiting mispricing of their own firms stock.
If insider trades systematically predict the direction of returns due to anomalies, then it is likely
that anomaly returns are due at least in part to mispricing. In other words, if the premium of a
given anomaly strategy disappears when insiders are trading counter to the direction of the
anomaly, then it is likely that the premium is due to potential informational inefficiency, and it is
less likely due to an equilibrium risk-reward tradeoff.
It is also possible that insider trades may be profitable because they capture idiosyncratic
inside information about the firm that is not related to any of the underlying anomaly
characteristics of the firm.32
Company returns could, in that case, be driven by both an exposure
to a risk factor, as well as inside information shocks. However, if that was the case, there would
be no reason for returns to be related to the anomaly-specific insider trading variables we create,
as we separately control for the level of insider trading activity in our regressions.
Although it is not possible to completely rule out a risk based explanation, any anomaly
that is only significant in asset pricing data when insiders are trading in a way that could benefit
from the anomaly strongly suggests that the returns are linked to informational inefficiency.
Risk-based explanations predict no link to insider trading, as the equilibrium conditions of risk
32
Insiders can earn a premium by trading against outside investors who may mis-evaluate publicly available
information about the firm. Insiders can also earn a premium by trading based on specific information about their
firm unknown to the public.
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17
models require that all investors (both insiders and outside investors) are aware of the risks
associated with stock characteristics that predict high returns.
With this goal in mind, we categorize insider trading based on its consistency with
various anomaly strategies. First, we determine whether insider are buyers, neutral, or
sellers using the insider score described above. Second, we sort stocks by a given anomaly
and place them into two groups one associated with high returns and one associated with low
returns. We categorize a firm as insiders AGREE with an anomaly if i) insiders are buyers of
the stock and the stock is in the anomaly group predicting high returns, or ii) insiders are
sellers of the stock and the stock is in the anomaly group predicting low returns. Similarly, we
categorize a firm as having insiders DISAGREE with an anomaly, if i) insiders are sellers of
the stock and the stock is in the anomaly group predicting high returns, or ii) insiders are
buyers of the stock and the stock is in the anomaly group predicting low returns. If insiders are
not buyers or sellers, then we categorize the firm as having insiders who are NEUTRAL.
We form portfolios for both time-series and cross-sectional analyses based on insider
agreement and disagreement on a monthly basis. In constructing anomaly variables, we use
accounting information lagged by at least 6 months and market information lagged by one
month. For instance, if we are forming portfolios at the end of June of year t, we use stock
characteristics observed either in calendar year-end t-1 or the fiscal year-end in year t-1. These
characteristics are updated annually. The two exceptions to this procedure are the momentum
and PEAD anomalies. For momentum, we rank stocks each month based on cumulative returns
from t-12 to t-2. For the PEAD anomaly we rank stocks based on standardized unexpected
earnings for the most recent quarterly earnings announced as of month t (not including
announcements in month t).
To determine insider agreement, we use the insider score observed in month t-1. As
mentioned earlier, we compute the insider score on two different dates the trade date and the
report date. The trade date is the date when an insider completes a transaction, and the report
date is when it is reported to the SEC. The differences in dates become insignificant after the
introduction of the Sarbanes-Oxley Act of 2002, which requires insiders to report their trades
within 2 business days. For robustness, we computed returns before and after this change came
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18
into effect. We discuss the results in Section 4.4. We compute both equal and value weighted
returns. Value weighted returns are more likely to provide economically meaningful results as
equal-weighted portfolios are more expensive to trade. However, the prior literature has shown
that insider trades contain greater information about future returns for smaller firms.33
Hence we
view it as important to display both results.
4. Results
4.1. Anomaly Returns
We begin our analyses by first examining the baseline profitability of anomaly returns in
our sample of firms covered by the back-extended insider trading database (without considering
the insider trading data yet). We carry out both time-series and cross-sectional analyses. For the
time-series analyses, we form 5 portfolios each month by ranking stocks based on anomaly
characteristics. We report benchmark-adjusted returns for the long leg defined as the higher
performing 5th
quintile portfolio, and for the short leg defined as the lowest performing 1st
quintile portfolio, as well as the long-short portfolio that goes long the highest performing
quintile portfolio and short the lowest performing quintile portfolio. We compute benchmark-
adjusted returns using the Fama and French (1993) market, size, and value factors. We exclude
the size and value factors when computing the benchmark-adjusted returns for the size and book-
to-market anomalies, respectively. We compute both value weighted and equal-weighted
returns.
For the cross-sectional analyses, we run the following Fama-MacBeth regression of
returns on each of the anomaly characteristics controlling for size, book-to-market and
momentum:
, = ,1 + 1,1 +
2--,1 + 3,1 + , (3)
Here , is the return of stock i in month t. As with the time-series regressions, we exclude the
size and book-to-market in computing coefficients on the size and book-to-market anomaly
33
Seyhun (1986, 1998).
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19
characteristics respectively. We also compute value weighted Fama-MacBeth coefficients by
running a weighted least squares regression in each month and then computing the usual time-
series average of the estimated coefficients.
Table 4 reports the results. The first panel on the left contains the value weighted long,
short and long minus short 3-factor alphas, as well as the coefficient on the anomaly
characteristic, , from the Fama-MacBeth regressions. The second panel on the right shows the
equal-weighted results. The average monthly benchmark-adjusted return across all 13 long-short
strategies is 0.44% for value weighted returns and 0.58% for equal-weighted returns. All the
anomalies are priced significantly in the Fama-MacBeth regressions. These results are consistent
with findings in the prior literature and confirm that the anomalies we consider are priced in the
cross-section of stocks covered by the back extended insider trading database.
4.2. Cross-sectional Analyses
As mentioned earlier, our goal is to test whether stock anomalies are driven by mispricing
due to informational inefficiencies. In particular, we test to see if insider trades systematically
predict future anomaly returns. To do this, we split the sample of stocks into three groups based
on insider agreement as described in the previous section. We put stocks into the Insiders
Agree group if either of the following two conditions hold: (1) The insider score is above the
threshold value (0.46) such that insiders are categorized as buyers and the stock is in the long
anomaly group predicting high returns; or, (2) the insider score is below the threshold value (-
0.46) such that insiders are categorized as sellers and the stock is in the short anomaly group
predicting low returns. We put stocks in the Insiders Disagree group if the opposite conditions
apply. If insiders are not trading or their trades do not cross the threshold, then we put those
stocks in the Insiders Neutral group.
We then run Fama-MacBeth regressions to see how the anomalies are priced in the cross-
section of stocks in each of the three groups. If we find that an anomaly is significantly priced
when insiders agree, but is not priced when insiders disagree, then the anomaly is likely
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20
explained at least in part by mispricing resulting from informational inefficiencies. For example,
if the value premium is present only when insiders are employing strategies that are consistent
with value investing, then our results would support the conclusion that the value premium is
likely due to mispricing and it is less likely due to an equilibrium risk/reward trade-off. In
particular, equilibrium risk-based explanations predict no link to insider trades, since insiders
(just like outside investors) are required by assumption to be aware of the risk associated with
each asset.
In the Fama-MacBeth regressions, we control for the insider score to make sure that the
results are robust to holding the level of insider trading constant in each of the three samples. In
particular, we run the following Fama-MacBeth regression separately for each anomaly:
, = ,1 + 1 ,1 +
2,1 + 3--,1
+ 4,1 + , (4)
Table 5 reports the results. For brevity, we only report the coefficients on the anomaly
characteristics () and insider score () for the three samples. As before, we report both equal-
weighted and value weighted results separately under the corresponding headers, Equal-
Weighted and Value Weighted respectively. Panel A shows the coefficient estimates where
insider trades are categorized based on their values observed on the trade date. Panel B reports
the results where insider trades are categorized based on their values observed on the report date.
Results based on the trade date are most theoretically motivated regarding tests of market
inefficiency, and results based on the report date are relevant for constructing tradable portfolios.
We find that anomalies are priced significantly in the cross-section when insiders agree.
For the insiders agree group, both the economic and the statistical significance of anomalies are
larger when compared to samples where insiders are neutral.34
In addition, comparing the
predictive ability of unconditional anomalies from Table 4 with the predictive ability of the
anomaly conditioned on insider agreement in Table 5, we also find that the predictive ability of
every anomaly increases when insiders agree with it. This finding is consistent across all
34
The only exceptions are PEAD under equal weighting and net stock issuance under value-weighting. Asset
growth has a marginally more significant t-statistic (-2.20 versus -2.17) for insiders neutral than for insiders agree
under value-weighting.
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21
anomalies, including size, book-to-market, and momentum. The fact that anomalies get stronger
when insiders agree suggests that anomalies generate predictable returns when mispricing is
likely, and that insider trading likely captures sources of mispricing that relate to anomalies.
Similarly, the insider trading control variable also in general retains its predictive ability when
included with the anomaly variables. For equally weighted results, insider trading is significant
in all cases. For value weighted results, insider trading retains its predictive ability in all cases,
with the exception of the book-to-market ratio and size anomalies.
When there is no insider trading (or when insiders are neutral), the anomaly variables
retain their sign and significance in predicting future abnormal returns. Comparing the
predictive ability of unconditional anomalies from Table 4 with the predictive ability of the
anomalies conditioned on neutral insiders in Table 5, we find that the predictive ability of every
anomaly remains about the same. Hence, in every case, there is little or no difference between
unconditional predictive ability and predictive ability conditional on the insiders-neutral
category. In these cases, the lack of insider trading does not allow us to distinguish between
potentially overvalued and undervalued firms.
When insiders disagree and trade counter to the anomalies, the anomalies become
insignificant in every case. Moreover, two of the thirteen anomalies switch signs and are
statistically significant with the opposite sign to the one reported in the literature. This finding
holds for both equal-weighted and value-weighted tests. For equal-weighted tests, high distress
risk proxied by the O-score is normally associated with lower future returns. When insiders
agree, we find the O-score to indeed be priced negatively in the cross-section of returns
consistent with the prior literature. When insiders disagree, however, the O-score is priced
positively. This means high distress firms are associated with higher future abnormal returns
when controlling for insider disagreements. Similarly, in the case of composite equity issuance,
the anomaly also switches sign from negative to positive when insiders disagree. This outcome
is theoretically linked to the adverse selection model of Myers and Majluf (1984), as issuance is
likely to be particularly sensitive to insider information relating to the quality of both assets in
place and the new investment opportunity being funded. Due to this strong theoretical basis for
issuance, it is interesting and perhaps expected that insider disagreement is stronger for this
anomaly.
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22
Overall, the predictive ability of the anomalies completely disappears when insiders
disagree with the anomaly signals. We find this evidence to be inconsistent with the risk-based
story and consistent with mispricing story. Under the static risk-based story, we would have
expected the anomalies to retain their predictive ability since investors would demand higher
compensation for high risk at all times. In order for a more general time-varying version of the
risk hypothesis to hold, it would further require undiversified insiders to buy more shares when
equilibrium risk premia are higher. Because they are undiversified, they should be more risk
averse to additional purchases, making this explanation unlikely. In all, our results substantially
raise the bar for risk-based explanations of the 13 anomalies.
Consistent with the mispricing story, our evidence indicates that insiders can use their
private information to better interpret public anomaly signals and draw their own conclusions
about possible mispricing. At times, these interpretations go opposite the public anomaly
signals. Subsequent revelation of information indicates that the insiders indeed have better
anomaly-relevant signals than is contained in the raw anomaly variables themselves. The
willingness of insiders to trade at these times and not at other times is difficult to square with a
risk interpretation.
As expected, the results are somewhat weaker when we value-weight the observations in
the cross-sectional regressions. However, this is expected since insider trading is generally less
informative for large firms.35
Nevertheless, even using value-weighting, conditional on insider
disagreements, anomalies completely lose their predictive ability. Overall these results provide
further empirical support for the mispricing hypothesis for all the anomalies, including size,
book-to-market, and momentum.
Panel B of Table 5 shows the predictive ability of anomalies and insider trading when we
use the report date instead on trade date for insider trading. Until Sarbanes-Oxley Act of 2002,36
insiders had until the 10th
day of the next month in which a trade took place to report their trade
to the Securities and Exchange Commission. Publication delays could add another month in
disseminating insider trading information. As a result of Sarbanes-Oxley, after August 29, 2002,
35
Seyhun (1986). 36
We expect a very high degree of accuracy in insider trading information. Violations of Sarbanes-Oxley carry a
fine up to $1 million and ten years in prison, even if done mistakenly. If Sarbanes-Oxley is violated purposely, the
fine can be up to $5 million and prison sentence up to twenty years.
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23
insiders are required to file their open market transactions electronically within two business
days. After June 30, 2003, the filing requirement was reduced to one business day. Hence, for
any future out of sample tests using our framework, the insider trading variables should be ideal
both in terms of power and tradability.
For equal-weighted results, Panel B of Table 5 shows that insider trading retains its
predictive ability regardless of whether it agrees or disagrees with anomalies. In contrast,
anomalies get stronger when they agree with insider trading, and they completely lose their
predictive ability when they disagree with insider trading. Accruals and Ohlsons-O flip signs
and are also significant when confronted with insider disagreements. These findings are based
on reported information that was available to the public at the time portfolios could have been
formed. They suggest that there is useful public available information in insider trading that
investors can use to improve anomaly trading profits. For value weighted results based on the
report date, insider trading typically loses its individual predictive ability. These results suggest
that much of the price adjustment in insider trading for large firms takes place between the trade
date and report date. The price adjustment of small firms appears to be slower since insider
trading is still informative even after the report date.
4.3. Time-series Analyses
In this section, we examine the mispricing hypothesis in time series. As with the cross-
sectional analysis, we split our sample into groups based on insider agreement. First, we sort
stocks based on each anomaly and put them into five groups. For the companies in the long leg
corresponding to the highest return quintile and for the companies in the short leg corresponding
to the lowest return quintile, we further split them into three groups based on insider trading
agreement and disagreement. This provides us with 6 portfolios: 1) long and insiders buying, 2)
long and insiders neutral, 3) long and insiders selling, 4) short and insiders buying, 5) short and
insiders neutral, 6) short and insiders selling. We then create zero cost long-short portfolios for
each anomaly when insiders are in agreement, neutral, or in disagreement. Long-Short Insiders
Agree is a portfolio computed as: long and insiders buying minus short and insiders selling.
Similarly, Long-Short Insiders Disagree is a portfolio computed as: long and insiders selling
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24
minus short and insiders buying. If insiders are neither buying nor selling, then we compute the
Long-Short Insiders Neutral portfolio as: long and insiders neutral minus short and insiders
neutral.
For each of the portfolios we compute value weighted returns using the trade date to
determine whether insiders are buying, selling or are neutral.37
Based on these returns we then
compute Fama-French 3-factor alphas. We exclude the size and value factors in the computing
the alphas for the size and book-to-market anomalies respectively. Table 6 reports the 3-factor
alphas and their corresponding t-statistics for the portfolios described above.
The time-series results are consistent with the cross-sectional results we reported earlier.
For the long leg of the anomalies, we see that the 3-factor alphas are significantly higher when
insiders agree and trade in the same direction as the anomalies. When insiders are buying, the
long leg of the anomaly portfolios has significantly higher returns. When insiders sell, the long
leg alphas either become negative or insignificant. We see a similar pattern for the short-leg-of-
the-anomaly portfolios. When insiders sell, the 3-factor alphas become significantly more
negative.
Looking at the long-short portfolio alphas in Table 6, we see that the anomaly
performance is strongest when insiders agree and trade consistent with the anomalies. Hence,
the results are strongest when insiders buy in the long portfolio and when they sell in the short
portfolio. When insiders disagree and trade counter to the anomalies, the benchmark adjusted
performance largely disappears and in some cases turns negative. When insiders sell in the long
portfolio, only firm size retains its predictive ability. All other variables including momentum
and book-to-market lose their predictive ability. Investment in net assets and Ohlsons-O flip
signs. When insiders buy short portfolios, no anomaly is significant, while firm size flips signs.
In the next to last column, we present the difference in the long-short portfolio alphas when
insiders agree and when insiders disagree. Looking at long-short columns when insiders
disagree, none of these portfolios provide positive, statistically significant returns as would have
been predicted by the anomaly variables. For all the anomalies we find significant differences in
alphas. These differences are also economically significant. Across all anomalies, the difference
37
In Table 7, we report the results using equal weights and insider trades determined using the report date.
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25
in the long-short performance when insiders agree and when insiders disagree is 1.02% a month.
The last column shows the abnormal returns when insiders agree minus those when insiders
disagree. These findings indicate that the predictive ability of anomalies strongly depends on the
insider trading signal. Without exception, the predictive ability of the anomaly improves when
insiders agree with it.
In Table 7, we report the time-series results for equal-weighted and value weighted
portfolios as well as portfolios formed based on insider trading determined using both the insider
trade date and the report date. For brevity, we only report the results for the long-short portfolios
when insiders agree, disagree, are neutral, and for the difference between the alphas of the
insiders agree and the insiders disagree portfolios (the last four columns in Table 6). The first
panel of Table 7 reports the 3-factor alphas for each anomaly using equal-weighted returns and
insider trades determined based on the trade date. The second panel reports the results using
value weighted returns and the report date, and the final panel reports results using equal-
weighted returns and the insider report date. The equal-weighted results are always significant
regardless of whether we use the trade date or the report date. The value weighted results lose
some significance when we use the report date. The economic significance decreases by about
30%, and for some anomalies, the difference between the performance of the agree and the
disagree portfolios become insignificant. Nevertheless, publicly available insider trading after
the report date significantly improves the predictive ability of PEAD, net operating profits, gross
profitability, accruals, composite equity issuance, firm size and momentum for large firms. For
equal-weighted portfolios the economic significance goes down only slightly when we use the
report date to categorize insider agreement. Without exception, insider trading improves the
predictive ability of anomalies in small firms. These differences are consistent with the prior
literature that has shown that insider trades tend to be more informative for smaller firms and that
even after the reporting date, insider trading information is useful.38
In contrast, much of the
stock price reaction to insider trading information in large firms takes place between trade and
report dates. Overall, the time-series results are consistent with the findings from the previous
section and lend further support to the mispricing hypothesis.
38
Seyhun (1986, 1998).
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26
4.4. Robustness Checks
In this section we consider a number of robustness checks for our main results. First, we
examine the impact of categorizing insider trades using different methods. Second, we examine
the impact of using trade and report dates before and after the introduction of the Sarbanes-Oxley
Act of 2002. Finally, we examine the impact of using a one-factor market model to compute
alphas. The results are reported in Table 8. For brevity we only report the 3-factor alphas for the
Agree-Disagree portfolios described in the previous section. The headers describe the sample
used for the results reported in each of the columns. The weight header specifies whether the
returns are computed using equal or value weighting. The portfolio formation header specifies
whether we are using the report date or the trade date to categorize insider trades. The
sample/method header specifies the particular sample, time-period or method we are using to
compute the returns.
We begin by examining the differences in results using the report date and the trade date
to categorize insider trades. As mentioned earlier, the introduction of the Sarbanes-Oxley Act of
2002 should have eliminated most of differences between trade date and report date, as the law
requires insiders to report their trades within 2 business days. Panel A of Table 8 reports the
results for the time period prior to the passage of Sarbanes-Oxley Act (SOX) on September 1,
2002, and after. We do find that the differences between the trade date and the report date
become smaller after the passage of SOX. For value weighted returns, across all anomalies, the
difference between the trade date and the report date alphas is 0.55%. This difference decreases
to 0.11% after the passage of SOX.
Next, we examine the impact of categorizing insider trades using different methods. In
our analyses thus far we have used a standardized measure to take into account the fact that
insiders tend to be net sellers and insiders in larger firms tend to sell more than they purchase
compared to insiders in smaller firms. For robustness, we use actual shares traded without
standardization to categorize insider trades. Each month, we compute the net shares traded for
each firm as the total number of shares bought by insiders minus the total number of shares sold.
If the net shares traded are positive, then we categorize insiders as buying. If the net shares
traded are negative, then we categorize insiders as selling. If there are no transactions in that
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27
month, then insiders are categorized to be neutral. We then form agree minus disagree
portfolio returns based on insider trading and the expected direction of anomaly returns
described in the previous section. Three-factor alphas from using actual shares traded without
standardization to categorize insider trades are reported in Panel B of Table 8. We report results
using both equal-weighted and value weighted returns. The results are consistent with those
obtained using standardized insider trades, but they do become slightly weaker when we use
value weighted returns.
Insiders do not trade frequently. This leads insiders trades to be categorized as neutral
a significant part of the time in the dataset. For robustness, we use a longer window of 6 months
to categorize insider trades. Using a longer window reduces the information contained in insider
trades but increases the percentage of time insiders are classified as buyers or sellers. To
categorize insider trades over a longer window, we first categorize insiders as buyers, sellers or
neutral based on standardized insider scores. We then count the number of times the insiders
have been categorized as buyers over the past 6 months and subtract the number of times they
have been categorized as sellers over the same 6 months. If the difference is positive, we
classify insiders as buyers. If the difference is negative, we classify insiders as sellers. If the
difference is zero, insiders are classified as being neutral. We then compute agree and disagree
portfolios as described earlier. Using this longer window, insiders are classified as sellers 19%
of the time and as buyers 17% of the time. Panel B of Table 8 reports the 3-factor alphas. As
expected, a longer window reduces the information contained in insider trades. We find weaker
results when use value weighted returns, and some anomalies lose their statistical significance.
The results continue to remain significant when we consider equal-weighted returns.
Finally, we examine the impact of using the Fama-French size and value factors to
compute benchmark-adjusted returns. Our results from the previous section show that the size
and value anomalies generate significantly higher returns when insiders agree, suggesting that
the size and value premia could be due to mispricing. Some of the anomalies we consider load
negatively on the size and value factors, improving their benchmark-adjusted performance. For
instance, stocks with high distress risk tend to load more heavily on the size and value factors.
Since high distress predicts low returns, benchmark adjustment makes the anomaly even larger in
magnitude. For robustness, we compute the alphas using the one factor CAPM model. The
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28
results are reported in the last two columns of Panel B of Table 8. The differences in alphas
compared to those in Table 7 are small. Controlling for only the market factor provides
qualitatively similar results.
5. Conclusion
In this paper we revisit 13 well-established anomalies and interact the predictive ability
of the anomalies with insider trading. We find that, conditional on insider agreement, both
insider trading and the anomalies retain their predictive ability. The economic magnitude of
anomalies also becomes large. This finding is consistent with the interpretation that both insider
trading and anomaly variables represent noisy measures of underlying mispricing with neither
being completely subsumed by the other variable. Consequently, they both survive in a horse
race.
However, conditional on insider disagreements, the predictive ability of anomaly
variables disappears fully in every case, while the predictive ability of the insider trading
variable survives. This finding indicates that the information content of insider trading
dominates the anomaly. When insiders have opposite information which disagrees in direction
with the anomaly variables regarding underlying mispricing, insider trading correctly identifies
the future direction of stock returns while the anomaly does not. If anomalies were driven by
risk, the fact that anomalies lose predictive power completely when insiders disagree suggests
that there is no compensation for risk when insiders disagree. This interpretation is difficult to
square with the efficient-markets, risk-based story, which predicts that risk premia should not be
related to insider trading.
Although we cannot rule out the risk-based hypothesis, our evidence indicates that
mispricing plays an important role in the predictive ability of the anomalies. A dominant portion
of the information content of anomalies comes from agreement with insider trading signals.
When there is disagreement with insider trading, the predictive ability of the anomalies
disappears.
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29
Our contributions are three-fold: (1) we provide a general framework for assessing
whether any anomaly which may be discovered in the future is likely due to risk based theories
or potential market mispricing, (2) we provide evidence that 13 of the most common anomalies
discussed in the literature lose their predictive ability when confronted with insider
disagreements, and (3) we provide guidance to potential investors investing in anomalies: they
should jointly consider insider trading signals along with anomaly signals. This would allow
investors to time the anomaly to more efficiently arbitrage economically large returns that are
most likely due to mispricing.
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30
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