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RESEARCH P
GRADUATE SCH
STANFORD
RESEARCH P
Financial Analysts and
MARY EStanford
AMY P.Harvard
Apri
APER NO. 1693
the Pricing of Accruals
. BARTH University
HUTTON University
APER SERIES
OOL OF BUSINESS
UNIVERSITY
l 2001
Research Paper No. 1693
Financial Analysts and the Pricing of Accruals
Mary E. Barth
Graduate School of Business Stanford University
Amy P. Hutton
Graduate School of Business Harvard University
April 2001
Abstract We test predictions relating to the role of financial analysts in aiding investors’ assessment of the different valuation implications of the cash flow and accrual components of earnings. First, we examine whether analysts revise their forecasts of future earnings in anticipation of predictable accrual reversals. Then, we examine whether share prices reflect predictable accrual reversals differently depending on analyst activity. Our findings suggest that analysts act as sophisticated information intermediaries in that some analysts are able to identify firms with less persistent accruals. However, share prices do not reflect the information conveyed by analyst forecast revisions. Rather, investors appear to expect the same persistence in earnings, regardless of its cash flow and accrual components and regardless of analyst activity, until the accruals reverse. Thus, incorporating information from analyst activity substantially improves short-tem returns to an accrual-based trading strategy.
________________________ Correspondence: Mary E. Barth, Stanford University, Graduate School of Business, Stanford, CA 94305, Tel. (650) 723-8536, Fax. (650) 725-0468, [email protected]. Amy Hutton, Harvard University, Graduate School of Business, Boston, MA 02163, Tel (617) 495-6375, Fax (617) 496-7363, [email protected]. We appreciate helpful comments and suggestions from Mark Bradshaw, Greg Miller, S.P. Kothari, Richard Sloan, and participants at the 1999 Stanford Accounting Summer Camp and the 2000 AAA Annual Meetings. We also appreciate funding by the Financial Research Initiative and the GSB Faculty Trust of the Stanford University Graduate School of Business, and Division of Research, Harvard Business School. We also thank I/B/E/S for use of its analyst data and Chris Allen, Radhika Ashok, Sarah Eriksen, Philip Joos, and Yulin Long for research assistance.
1. Introduction
This study tests whether differences in the persistence of cash flows and accruals are
reflected more accurately and more quickly in share prices of firms with more active financial
analysts. The motivation for the study is to enhance our understanding of the role of information
intermediaries, specifically financial analysts, in aiding investors’ assessment of the valuation
implications of accounting data. We focus on the cash flow and accrual components of earnings
because prior research finds that investors fail to anticipate predictable differences in their
persistence (Sloan [1996], Xie [2000]), which are relevant to investors in assessing firm value
(Dechow [1994], Ohlson [1995, 1999], Sloan [1996], Dechow, Kothari, and Watts [1998], Barth,
Beaver, Hand, and Landsman [1999], Barth, Cram, and Nelson [2001]), and because information
intermediaries, such as financial analysts, are thought to assist investors in interpreting the
valuation implications of earnings components. We define active analysts as analysts who revise
their forecasts of next year’s earnings in response to the announcement of current year’s earnings
in a direction that is consistent with understanding that accruals are less persistent than cash
flows, i.e., that earnings comprising more accruals mean revert more quickly.
A necessary condition for analysts to assist investors in assessing the valuation
implications of accruals and cash flows is that analysts understand that accruals are less
persistent than cash flows and, thus, earnings persistence is lower when accruals are the
dominant earnings component. Thus, we begin by testing whether analysts identify firms with
earnings that mean revert more quickly because of less persistent accruals. We find that
analysts, on average, do not revise their forecasts of future earnings in response to the
announcement of current earnings in a direction that is consistent with understanding that
accruals reverse. Forecast revisions are consistent with accrual reversals for only 25 percent of
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the observations. We refer to these observations as the active analyst subsample, and refer to
these firms as having active analysts. The remaining 75 percent of the observations comprises
the inactive analyst subsample. We also find that throughout the forecast year, active analysts
continue to revise their forecasts consistent with accrual reversals; inactive analysts do not.
To determine whether active analysts identify firms with less persistent accruals, we next
test whether accruals reverse more quickly for firms with active analysts. As predicted, we find
that earnings mean revert more quickly firms with active analysts, and that the quicker mean
reversion in earnings is driven by accrual reversals. A regression of future earnings on the cash
flow and accrual components of current earnings confirms that firms with active analysts have
substantially less persistent accruals. An examination of the components of accruals reveals that
firms with active analysts have accruals with larger working capital and discretionary
components that reverse more quickly than other accrual components. We also find that active
analysts identify firms with substantial differences in the persistence of accruals and cash flows.
Whether analysts identify these observations through detailed accounting analysis or by probing
management for guidance relating to next period’s earnings, we cannot say.1
We then turn to testing whether analyst activity affects investors’ understanding of
predictable differences in the persistence of cash flows and accruals. To do so, we compare
returns to an accrual-based trading strategy for firms with active and inactive analysts.
Specifically, for the full sample and separately for the active and inactive analyst subsamples, we
examine annual returns to hedge portfolios that invest long in firms in the lowest accrual
portfolio and short in firms in the highest accrual portfolio, for three subsequent years. To test
whether the annual hedge returns are driven by information in earnings, we also examine
1 Because our sample period predates the issuance by the Securities and Exchange Commission of Regulation Fair Disclosure, such management guidance is unobservable to us. We leave this investigation to future research.
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earnings announcement returns. Finally, we test whether earnings expectations embedded in
share prices reflect differences in earnings persistence attributable to differences in the
persistence of cash flow and accrual components of earnings differently for firms with active
versus inactive analysts.
If investors incorporate into share prices the information about accruals and cash flows
conveyed in forecast revisions by active analysts, then profits to the accrual-based trading
strategy will be lower for firms with active analysts and they will be shorter-lived. Under this
scenario, active analysts facilitate accurate pricing of accruals through their forecast revisions,
thereby reducing predictable future returns associated with current accruals. If, on the other
hand, investors fail to incorporate the information conveyed by active analyst forecast revisions,
then in the short-term the accrual-based trading strategy will be more profitable and the earnings
expectations embedded in share prices will be less accurate for firms with active analysts. This
is because, as noted above, we find that active analysts identify firms with less persistent
accruals, which result in less persistent earnings. Further, under this scenario, returns to the
accrual-based trading strategy will persist longer for firms with inactive analysts because we find
that accruals reverse more slowly for firms with inactive analysts.
We find significant hedge returns in the first year following accrual portfolio formation
for all three samples of firms, the full sample and the active and inactive subsamples.2 These
findings indicate that regardless of analyst activity, share prices fail to reflect the accurate pricing
of the cash flow and accrual components of earnings. More importantly for our research
2 The term significant indicates statistical significance at the 0.05 level or less using a one-sided test when we predict the direction of the relation and a two-sided test otherwise. Examining returns for each subsample can be viewed as testing whether incorporating information in analyst forecast revisions improves returns to an accrual-based trading strategy. To implement a trading strategy that incorporates information in analyst forecast revisions, investors need to know the direction of the change in the mean consensus forecast in the month of the earnings announcement as well as which firms comprise the extreme accrual portfolios. Although this trading strategy is not
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question, we find that in the first year following portfolio formation firms with active analysts
generate significantly larger hedge returns than do firms with inactive analysts. Strikingly, the
hedge return in the first year is more than 27% for firms with active analysts, compared to only
11% for firms with inactive analysts, consistent with firms with active analysts having
significantly less persistent accruals and investors not expecting so. The hedge returns for firms
with active analysts are not significantly different from zero in the second and third years. The
hedge returns for firms with inactive analysts are significantly different from zero in all three
subsequent years. However, compound returns over the three years are not significantly
different for the two groups of firms, indicating that the difference in hedge returns relates to
timing, not overall magnitude, with the returns for firms with active analysts arising in the first
year after portfolio formation. Regression results confirm our accrual portfolio-based findings,
even after controlling for factors identified in prior research as predictors of future returns such
as size and risk (Fama and French [1992]).
We also find that about one-half of the hedge return in the first year following portfolio
formation is generated around earnings announcements for firms with active analysts, indicating
that the returns are related to earnings news for these firms. We find no such relation for firms
with inactive analysts, suggesting the annual hedge returns are not generated by earnings news.
Finally, results from tests of the earnings expectations embedded in share prices that
explicitly control for differences in persistence of accruals and cash flows for firms with active
and inactive analysts confirm our inferences. In the first year following portfolio formation we
find that investors overestimate the persistence of accruals and underestimate the persistence of
cash flows for firms with active and inactive analysts. However, the extent of accrual
costless to implement, finding different returns to the strategy for the active and inactive subsamples informs us about the role of analysts in the pricing of accruals.
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persistence overestimation is substantially higher for firms with active analysts, consistent with
investors naively pricing accruals and firms with active analysts having substantially less
persistent accruals. In the second and third years, the differences between the persistence of
accruals and investors’ perceptions of its persistence are not significant for either subsample.
Taken together, our findings indicate that incorporating information from analyst activity
results in substantially larger short-term returns to an accrual-based trading strategy. These
larger returns arise because analysts identify firms with accruals that reverse more quickly, but
investors do not incorporate into share prices the information relating to accrual reversals
conveyed by analyst forecast revisions. Rather, investors expect the same earnings persistence
across firms, regardless of the cash flow and accrual components of firms’ earnings and
regardless of information in analyst forecast revisions.
The remainder of the paper proceeds as follows. Section 2 reviews related research and
sets forth our predictions. Section 3 develops our research design. Section 4 describes the
sample and reports descriptive statistics. Section 5 presents the findings and section 6
summarizes and concludes.
2. Related Research and Predictions
2.1 RELATED RESEARCH
Several studies document that cash flows are more persistent than accruals (e.g., Dechow
[1994], Sloan [1996], Dechow, Kothari, and Watts [1998], Barth, Beaver, Hand, and Landsman
[1999]). The lower persistence for accruals likely is attributable to the fact that they reverse and
involve a high degree of subjectivity. Also, Barth, Beaver, Hand, and Landsman [1999] finds
that distinguishing the accrual and cash flow components of earnings helps predict future
abnormal earnings. The Ohlson [1995, 1999] valuation models make explicit that persistence
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and the ability to predict future abnormal earnings are valuation-relevant characteristics of
earnings components. Thus, distinguishing cash flows from accruals is relevant to investors in
valuing a firm.3 However, Sloan [1996] finds that earnings expectations embedded in stock
prices do not fully reflect the higher (lower) persistence of earnings with relatively large cash
flow (accrual) components. Xie [2000] finds that Sloan’s [1996] results largely are attributable
to discretionary accruals, which are less persistent than other accruals. These findings, taken
together, motivate us to test predictions relating to the role of analysts in aiding investors’
assessment of the valuation implications of the cash flow and accrual components of earnings.
Relating to analyst forecasts, prior research generally finds that analysts do not fully
impound into their earnings forecasts relevant accounting information (e.g., Stober [1992],
Abarbanell and Bushee [1997]). However, some studies find that analyst forecasts are less
biased than the earnings expectations imbedded in share prices (e.g., Abarbanell and Bernard
[1992], Elgers, Lo, and Pfeiffer [2000]). Together, these findings suggest that some analysts
might be more active than others in identifying the valuation implications of accounting
amounts. Our approach differs from these studies in that we do not investigate the characteristics
of analyst forecasts themselves. Rather, we examine whether the direction of revisions in analyst
forecasts of next year’s earnings made in response to the announcement of current year’s
earnings contains information that aids investors in accurately assessing the valuation
implications of cash flows and accruals. We focus on the direction, rather than the magnitude, of
the forecast revisions because Bradshaw, Richardson, Sloan [2001] finds that analysts only
slowly revise their forecasts to incorporate relevant accounting information and because Gleason
3 Barth, Cram, and Nelson [2001] finds that accruals and cash flows have different predictive abilities for future cash flows, which is further evidence supporting the differential value relevance of cash flows and accruals.
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and Lee [2000] finds that the magnitude of analyst forecast revisions are unimportant in return
prediction, after controlling for the direction of the revisions.
Others studies also investigate the role of analysts in facilitating the pricing of securities.
Relating to analyst coverage, Hong and Stein [1999] finds that momentum-based investment
strategies are more profitable when applied to firms with low analyst coverage, because of an
initial underreaction to value relevant information, and subsequent return momentum is strongest
for these firms. However, Elgers, Lo, and Pfeiffer [2000] finds little evidence that investors in
firms with higher analyst coverage more accurately price the accrual and cash flow components
of earnings and Ali, Hwang, and Trombley [2000] finds that the predictive ability of accruals for
subsequent returns is not lower for large firms or for firms followed more by analysts or held
more by institutions. As does Krische and Lee [2000], which finds that analyst
recommendations have incremental predictive power for future returns, our tests focus on analyst
activity rather than the level of analyst coverage, specifically the direction of analysts’ revisions
to their forecasts of next year’s earnings made in response to observing current year’s earnings.
2.2 PREDICTIONS
Given that a primary task of financial analysts is to forecast future earnings, we expect
analysts to revise their forecasts of future earnings to reflect predictable accrual reversals. Thus,
we categorize firms based on whether and how analysts revise their forecast of next year’s
earnings in response to current year’s earnings and its accrual and cash flow components.
Specifically, we classify firms as having active analysts in a particular year if the mean
consensus analyst forecast for year t + 1 is revised at the year t earnings announcement in the
direction implied by a reversal of year t accruals. Otherwise, we classify the firm as having
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inactive analysts. If analysts identify firms with earnings that mean revert more quickly because
of accrual reversals, then accruals will be less persistent for firms with active analysts.
This reasoning leads to the first testable hypotheses:
H1: Accruals are less persistent for firms with active analysts.
Although analysts’ understanding that accruals are less persistent than cash flows is a
necessary condition for analysts to facilitate more accurate pricing of accruals, it is not sufficient.
It also must be the case that investors incorporate into share prices the information conveyed by
analyst activity. If analysts identify firms with less persistent earnings, and if investors
incorporate this information into share prices, then we expect earnings expectations embedded in
share prices of firms with active analysts to reflect more accurately the different valuation
implications of the cash flow and accrual components of earnings, specifically, differences in
their persistence.
This reasoning leads to the second set of testable hypotheses:
H2a: Future returns predictable by the magnitude of the accrual component of current earnings are smaller for firms with active analysts.
H2b: The earnings expectations embedded in share prices more accurately reflect the higher earnings persistence attributable to the cash flow component of earnings and the lower earnings persistence attributable to the accrual component of earnings for firms with active analysts.
It is also possible that analysts are able to identify firms with less persistent earnings, but
investors do not incorporate this information into share prices. If investors’ understanding of the
predictable differences in the persistence of cash flows and accruals is not facilitated by analyst
activity, then we expect short-term returns to an accrual-based trading strategy to be higher for
firms with active analysts, assuming active analysts identify firms with less persistent accruals.
This reasoning leads to the alternative hypotheses:
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H2a_Alt: Future short-term returns predictable by the magnitude of the accrual component of current earnings are larger for firms with active analysts.
H2b_Alt: The earnings expectations embedded in stock prices reflect less accurately the higher earnings persistence attributable to the cash flow component of earnings and the lower earnings persistence attributable to the accrual component of earnings for firms with active analysts.
3. Research Design
3.1 TESTS OF ANALYST ACTIVITY
To test whether analysts recognize the difference in persistence of accruals and cash
flows and revise their forecasts accordingly, we examine analyst forecast revisions across
portfolios based on the magnitude of accruals. If analysts anticipate accrual reversals and revise
their forecasts accordingly, we predict that their earnings forecast revisions are negatively related
to the magnitude of current period accruals. In particular, we predict that the revisions will be
positive (negative) for the lowest (highest) accrual portfolio.
To implement our tests, in each year we sort firms into ten portfolios based on the accrual
component of earnings, Accruals, at time t and calculate by portfolio the time-series mean and
standard error of analyst revisions of forecasts of year t + 1 earnings. We calculate Accruals
using balance sheet and income statement data because Statement of Financial Accounting
Standards No. 95 (FASB [1987]) was not in effect for the full sample period.4 Following prior
research (e.g., Sloan [1996]), we scale Accruals by average total assets.
4 Specifically, Accruals = (∆CA – ∆CASH) – (∆CL – ∆STD) – DEP, where ∆CA = change in current assets (Compustat item 4), ∆CASH = change in cash/cash equivalents (Compustat item 1), ∆CL = change in current liabilities (Compustat item 5), ∆STD = change in debt included in current liabilities (Compustat item 34), DEP = depreciation and amortization expense (Compustat item 14). Collins and Hribar [2000] examines the impact of measuring accruals as the changes in balance sheet accounts rather than obtaining accruals directly from the statement of cash flows, and shows that tests of accrual mispricing are biased against finding significant results because some firms are erroneously classified as having extreme accruals. Thus, use of balance sheet and income statement data reduces the power of our tests.
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Our tests use revisions in analyst forecasts of year t + 1 earnings made over two periods:
(i) during the month of the year t earnings announcement and (ii) over the remainder of year t +
1, but before the year t + 1 earnings announcement. For each period, the forecast revision is the
change in the mean I/B/E/S consensus forecast, with the earlier forecast subtracted from the later
forecast, scaled by price at the end of year t. Because analysts revise downward their forecasts
over the forecast year (e.g., Richardson, Teoh and Wysocki [2000]), we focus our tests on
abnormal forecast revisions, which are forecast revisions in excess of the calendar-year mean
revision for the same revision period.
To complement the portfolio-based tests, we also estimate the following relation between
analyst forecast revisions and the portfolio rank of accruals:
1101 ++ ++= ttt RAccrualsRevision εηη (1)
where, Revision is the revision in analyst forecasts of year t + 1 earnings measured either at the
year t earnings announcement or over the remainder of year t + 1. RAccruals is the portfolio
rank of accruals, scaled to range from zero to one, thereby facilitating interpretation of its
coefficient. Consistent with the portfolio-based tests, if analysts anticipate accrual reversals and
revise their forecasts accordingly, we predict η1 is negative.
We conduct our tests for the full sample and for the active and inactive analyst
subsamples. Recall that the active analyst subsample comprises firms for which analyst forecast
revisions made at current year’s earnings announcements are consistent with the reversal of
current year accruals. Thus, when the tests use forecast revisions made at year t earnings
announcements, η1 < 0 for the active subsample and η1 > 0 for the inactive subsample by
construction. Thus, when testing whether analyst activity differs across the two subsamples, we
focus on tests using forecast revisions made during the remainder of year t + 1.
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3.2 TESTS OF PERSISTENCE OF EARNINGS AND ITS COMPONENTS
We estimate the persistence of earnings using the following equation.
ittit EarnEarn ++ ++= υαα 10 (2)
Earn is earnings from continuing operations after depreciation, scaled by average total assets,
and i ranges from one to three. α1 measures the persistence of earnings. To test whether firms
with active analysts have lower earnings persistence than firms with inactive analysts, we
estimate (3), which permits the coefficients in (2) to differ with analyst activity.
ittAttAit ActEarnEarnActiveEarn ++ ++++= υαααα 1100 (3)
Active is an indicator variable that equals one for firms with active analysts, and zero otherwise.
ActEarn is Active × Earn. We predict that α1A is negative, which indicates that firms with active
analysts have lower earnings persistence than firms with inactive analysts.
To test for differences in persistence between the cash flow and accrual components of
earnings, we partition Earn into accruals and cash flows and estimate the following equations,
which are analogous to (2) and (3):
itttit CashFlowsAccrualsEarn ++ +++= υγγγ 210 (4)
ittAt
tAttAit
wsActCashFloCashFlows
sActAccrualAccrualsActiveEarn
+
+
++++++=
υγγγγγγ
22
1100 (5)
CashFlows is Earn minus Accruals, ActAccruals is Active × Accruals, and ActCashFlows is
Active × CashFlows.
In (4), γ1 reflects the persistence of accruals and γ2 reflects the persistence of cash flows;
based on prior research, we expect γ1 is less than γ2. As in (3), (5) permits us to test for
differences in persistence of accruals and cash flows for firms with active and inactive analysts.
Because active analysts revise their forecasts of next year’s earnings consistent with anticipated
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accrual reversals, we expect the persistence of accruals to be lower for firms with active analysts.
Thus, we predict γ1A is negative. We have no prediction for γ2A.
3.3 TESTS OF PREDICTABLE FUTURE RETURNS TO ACCRUAL-BASED PORTFOLIOS
To test whether analyst activity affects how well and how quickly share prices reflect the
valuation implications of the cash flow and accrual components of earnings, we calculate returns
to hedge portfolios that invest long in firms with relatively low accruals and short in firms with
relatively high accruals. For the full sample, we predict, based on Sloan [1996], a significant
positive hedge return in year t + 1, diminishing to insignificance by year t + 3. For the active and
inactive analyst subsamples, we test whether short-term hedge returns are significantly smaller
for firms with active analysts, consistent with hypothesis H2a, or significantly larger, consistent
with hypothesis H2a_Alt.
To implement these tests, in each year we sort firms into ten portfolios based on Accruals
at time t and calculate future returns for each portfolio for years t + 1, t + 2, and t + 3. Future
returns, Rt+i, are size-adjusted buy-and-hold returns, inclusive of dividends. The returns window
begins in the fourth month following the end of the fiscal year and continues for twelve months.
Beginning the cumulation period in the fourth month after the fiscal yearend ensures the
cumulation period begins after analysts have revised their forecasts of year t + 1 earnings in
response to the year t earnings announcement.5 The size-adjusted return is the firm’s buy-and-
hold return in excess of the buy-and-hold return to its size-matched portfolio. To calculate the
return for the size-matched portfolio, we rank all sample firms that are traded on the New York
Stock Exchange (NYSE) and American Stock Exchange (AMEX) into ten portfolios based on
market value of equity at the beginning of the year. We then assign each sample firm to one of
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the portfolios based on the firm’s market value of equity at the beginning of the year and
calculate the mean return for each size portfolio.6
To test whether returns to the accrual-based trading strategy are driven by earnings news,
we also examine announcement period hedge returns. Announcement period returns, APRt+i, are
cumulative returns over the four fourteen-day periods, i.e., day –11 to day +2, around each
earnings announcement in each of the three years following portfolio formation. We use
fourteen-day windows to capture managers’ preannouncement earnings warnings (Skinner and
Sloan [2000]), thereby capturing all of the earnings news.7
3.4 REGRESSION TESTS OF PREDICTABLE FUTURE RETURNS
To complement our portfolio-based tests, we also estimate the following relation between
future returns and the portfolio rank of accruals.
ittit vRAccrualsR ++ ++= 10 δδ (6)
As in (1), RAccruals equals the portfolio rank of accruals, scaled to range from zero to one. This
scaling permits us to interpret δ1 as the return to a zero investment portfolio with a long position
in the stocks in the highest decile of accruals and a short position in the stocks of the lowest
decile of accruals (Bernard and Thomas [1990], Dechow and Sloan [1997], and Frankel and Lee
[1998]). As with all of our tests, i ranges from one to three. Based on Sloan [1996], we predict
δ1 is negative.
5 To verify this, we compare the estimated date of the I/B/E/S consensus forecast to the date the return cumulation period begins. 6 We also calculate compound returns for up to three years following portfolio formation, calculated by multiplying together the annual returns (e.g., Barber and Lyon [1997] and Kothari and Warner [1997]). Untabulated findings using compound returns are consistent with our annual returns findings. 7 Chambers and Penman (1984) and Skinner (1994) find that bad news earnings are more likely to be preannounced. Thus, use of fourteen-day windows also ensures that we capture earnings news symmetrically for firms in the lowest and highest accrual portfolios, which typically comprise good and bad news announcements, respectively.
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To test whether the relation between future returns and current year accruals differs with
analyst activity, we estimate the following equation.
ittAttAit vlsActRAccruaRAccrualsActiveR ++ ++++= 1100 δδδδ (7)
where ActRAccruals equals Active × RAccruals. If analyst activity is associated with investors’
mispricing of accruals, then δ1A will differ from zero. Assuming δ1 is negative as in prior
research, δ1A > 0 and |δ1A| < |δ1| reveals that active analysts facilitate more accurate pricing of
accruals, consistent with hypothesis H2a; δ1 + δ1A = 0 indicates there is no relation between
current accruals and future returns for firms with active analysts. δ1A < 0 indicates that the
profitability of the accrual-based trading strategy is larger when the strategy incorporates
information about analyst activity. Coupled with finding that firms with active analysts have less
persistent accruals, δ1A < 0 indicates that although active analysts identify firms with less
persistent accruals, investors fail to incorporate into share prices the information conveyed by
analyst forecast revisions, consistent with hypothesis H2a_Alt.
To ensure that any significant relation between current year accruals and future returns is
incremental to other factors identified in prior research as predictors of future returns, we also
estimate the following equations:
itttttttit zVOLBetaEPBMlnMVlnRAccrualsR ++ +++++++= 5543210 δδδδδδδ (8)
itttttt
tAttAit
zVOLBetaEPBMlnMVln
lsActRAccruaRAccrualsActiveR
+
+
+++++++++=
55432
1100
δδδδδδδδδ
(9)
where lnMV is the natural logarithm of market value of equity, lnBM is the natural logarithm of
the book-to-market ratio, EP is the earnings-to-price ratio, Beta is the common stock beta from
the Capital Asset Pricing Model, and VOL is annual trading volume divided by shares
outstanding. Similar to RAccruals, all explanatory variables are scaled portfolio ranks. Based on
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prior research, we expect the relation between future returns and lnMV to be negative, lnBM and
EP to be positive, and Beta and VOL to be insignificant.
3.5 TESTS OF MARKET PERCEPTIONS
To determine whether share prices accurately reflect the persistence of earnings and its
components, we conduct tests following Mishkin [1983] and Sloan [1996]. Specifically, we
jointly estimate the following system of equations separately for the full sample, to facilitate
comparison with prior research, and for the active and inactive analyst subsamples, to test our
hypotheses:
itttit FlowsCashAccrualsEarn ++ +++= υγγγ 210 (10)
itttitit zFlowsCashAccrualsEarnR +++ +−−−+= ] [ *2
*1010 γγγδδ . (11)
Estimating the system separately for each subsample permits us to control for variation across
the subsamples in the persistence of accruals and cash flows, i.e., 1γ and 2γ , when examining
whether investors accurately assess the persistence of these earnings components. If share prices
accurately reflect the persistence of accruals and cash flows, then 1γ equals *1γ and 2γ equals
*2γ . We use a likelihood ratio statistic to test the restrictions that 1γ = *
1γ and 2γ = *2γ (Mishkin
[1983]). The statistic is distributed as a χ2(q) where q is the number of restrictions tested. If
active analysts facilitate the accurate pricing of accruals, then we predict 1γ to be closer to *1γ
and 2γ to be closer to *2γ for firms with active analysts.
4. Sample and Descriptive Statistics
The sample comprises all firms with available data on the Compustat annual industrial
and research files and on the Center for Research on Security Prices (CRSP) monthly stock
returns file for NYSE, AMEX, and NASDAQ firms. Our sample period is 1981 to 1996. We
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begin in 1981 because that is the first year analysts following data are available from I/B/E/S.
We end in 1996 because the returns tests require at least one year of future returns data, and 1997
is the last year available to us. Firms lacking financial statement data needed to calculate
accruals are excluded from the analysis, e.g., financial institutions. We also impose minimum
size criteria. To be included in the sample, a firm must have sales greater than $25 million, total
assets greater than $50 million, and a share price between $1 and $250. This results in a sample
of 24,343 firm-year observations with the required financial statement and returns data.
Revisions in analyst forecasts are available for 20,927 firm-year observations; we classify firms
with no forecast data as having inactive analysts.8 Missing data for other variables results in the
number of observations varying across analyses.
We conduct all of our analyses separately by calendar year and tabulate the across-year
means and standard errors of relevant estimates. Thus, table 1 presents these time-series means
and standard errors for the variables we use in our empirical tests and for analyst coverage. We
present statistics for the full sample and the active and inactive analyst subsamples. Bold (italic)
font indicates a (marginally) significant difference in means across the subsamples.
Table 1 reveals that time t earnings are higher for firms with active analysts and that the
higher earnings are attributable to less negative accruals, rather than higher cash flows. Mean
returns are not significantly different across the subsamples for any of the three years following
portfolio formation. Table 1 also reveals that firms with active analysts are larger, traded more
actively, and riskier in that the mean natural logarithm of market value of equity, lnMV, trading
volume, VOL, and beta, Beta, are at least marginally significantly larger. The means of the
natural logarithm of the book-to-market ratio, lnBM, and earnings-to-price ratio, EP, do not
differ significantly across the subsamples. Table 1 also reveals that firms with active analysts are
8 Our findings are insensitive to excluding observations with no forecast data.
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covered by significantly more analysts, with a mean of 9.53 compared with a mean of 7.47 for
firms with inactive analysts.
5. Findings
5.1 ANALYST ACTIVITY
Table 2, panel A, presents statistics for revisions in analyst earnings forecasts for year t +
1, made at year t earnings announcements and in the remainder of year t + 1, across ten portfolios
formed based on the magnitude of year t accruals. Although our tests focus on abnormal forecast
revisions, for completeness we also tabulate the means of raw forecast revisions.
Regarding forecast revisions made around time t earnings announcements, table 2, panel
A, reveals that although the mean abnormal revisions are significantly different from zero for
several portfolios, there is no discernable pattern across portfolios. For the lowest accrual
portfolio the mean abnormal revision is significantly different from zero, but it is negative, which
is inconsistent with analysts revising earnings forecasts in expectation of accruals reversals. For
the highest accrual portfolio, the mean abnormal revision is insignificantly different from zero.
Thus, panel A reveals that even for firms with extreme accruals, at the time of the year t earnings
announcement analysts, on average, do not revise their forecasts of year t + 1 earnings in
anticipation of accrual reversals. However, panel A reveals some evidence that forecast
revisions made throughout the remainder of year t + 1 are consistent with the reversal of
accruals. Specifically, the mean abnormal forecast revision is negative and significantly
different from zero, as predicted, for the highest accrual portfolio and positive, although not
significantly different from zero, for the lowest accrual portfolio.
Panel B of table 2 presents regression summary statistics that confirm the relations
observed in panel A. Specifically, for forecast revisions made at year t earnings announcements,
18
the coefficient on the accrual portfolio rank, RAccruals, is insignificantly different from zero,
indicating no significant relation between the forecast revisions and year t accruals. In contrast,
for forecast revisions made during the remainder of year t + 1, the coefficient on RAccruals is
negative and significant, as predicted, indicating the revisions are consistent with the reversal of
year t accruals.9 Note, however, that unlike forecast revisions made at year t earnings
announcements, forecast revisions made over the remainder of year t + 1 that are consistent with
accrual reversals do not necessarily demonstrate superior analytic ability on the part of analysts.
This is because the year t accruals likely reverse, at least in part, during year t + 1 and the
reversal is revealed in the year t + 1 quarterly earnings announcements.
Although table 2 indicates that, on average, analyst forecast revisions at year t earnings
announcements are unrelated to predictable accrual reversals, undoubtedly analyst forecast
revisions reflect such reversals for some firms. To investigate whether this is the case, table 3
presents descriptive statistics for year t accruals, Accruals, forecast revisions made at the time of
year t earnings announcements, Revision, and the change in accruals from year t to year t + 1,
∆Accruals, by accrual portfolio and by the sign of the forecast revision.
Forecast revisions consistent with accrual reversals are upward, or positive, for firms with
negative accruals, i.e., those in accrual portfolios one through seven, and downward, or negative,
for firms with positive accruals, i.e., those in accrual portfolios eight through ten.10 Partitions of
the sample that evidence this pattern, indicating that analysts revise their forecasts consistent
with accrual reversals, are in the off-diagonal cells in table 3 and highlighted by bold font. The
9 These findings are consistent with Bradshaw, Richardson and Sloan [BRS; 2001] which finds that analyst forecast errors, although related to accrual portfolio rank, slowly converge over year t + 1. However, our findings reported below indicate that the BRS findings likely are attributable to firms with active analysts who revise their forecasts at the time of year t earnings announcements. 10 There are more negative accrual portfolios because depreciation and amortization result in accruals that are, on average, negative.
19
mean of ∆Accruals reported in table 3 confirms that accruals reverse. In portfolios one though
four, which include firms with the lowest and negative accruals, mean ∆Accruals is positive. In
portfolios eight through ten, which include firms with the highest and positive accruals, mean
∆Accruals is negative.
A chi-squared test indicates that the mass of observations in table 3 is in the diagonal
cells, consistent with the findings in table 2. However, 25 percent of the observations are in the
off-diagonal cells – the cells in which analysts revise their forecasts of year t + 1 earnings
consistent with the reversal of accruals. These observations comprise the active analyst
subsample; observations in the diagonal cells comprise the inactive analyst subsample.
Table 4 presents statistics analogous to those in table 2 for the active and inactive analyst
subsamples. Table 4 reveals that, by construction, for firms with inactive (active) analysts
forecast revisions around year t earnings announcements are significantly positively (negatively)
related to the portfolio rank of accruals. In particular, for firms with inactive (active) analysts,
the mean abnormal revision is significantly negative, –0.0044 (positive, 0.0086), for the lowest
accrual portfolio, and significantly positive, 0.0036 (negative, –0.0059), for the highest portfolio.
The means of abnormal forecast revisions made during the remainder of year t + 1 reveal
that for firms with active analysts, the revisions are negatively related to the portfolio rank of
accruals. The means are almost monotonically decreasing in accrual portfolio rank, with the
mean for the lowest portfolio significantly positive, 0.0115, and that for the highest portfolio
significantly negative, –0.0132. This is not by construction. These findings indicate that during
the remainder of year t + 1, active analysts revise their year t + 1 earnings forecasts consistent
with accrual reversals. In contrast, abnormal forecast revisions for firms with inactive analysts
20
are positively related to accrual rank, inconsistent with accrual reversals, although only two of
the portfolio means are significantly different from zero.
Panel B of table 4 presents regression summary statistics that confirm the inferences from
the portfolio-based findings in panel A. For firms with inactive (active) analysts, the coefficient
on the portfolio rank of accruals, RAccruals, is significantly positive (negative) for both forecast
revision periods. Also, a larger proportion of the variation in analyst forecast revisions is
explained by the rank of accruals for firms with active analysts than for firms with inactive
analysts. For revisions made during the remainder of year t + 1, the mean adjusted R2 is 12.0
percent for the active analyst subsample and 0.3 percent for the inactive analyst subsample.11
This suggests either that inactive analysts do not respond to reversals of accruals reported during
the four quarters of year t + 1 or that year t accruals do not reverse during year t + 1 for the
inactive subsample. The statistics presented in table 3 indicate that the former explanation is
more likely than the latter in that even for the inactive subsample, accruals reverse in portfolios
one through four and portfolios eight through ten. However, the magnitudes of the changes in
accruals in table 3 are larger for the active subsample, suggesting that accruals are less persistent
for firms with active analysts. Below, we investigate differences in the persistence of earnings
and accruals across the active and inactive analyst subsamples.
5.2 PERSISTENCE OF EARNINGS AND ITS COMPONENTS
Table 5 presents regression summary statistics from estimating (2) through (5) relating to
the persistence of earnings, in panel A, and its cash flow and accrual components, in panel B.
The first two columns of panel A reveal that, consistent with prior research, earnings persistence
11 Untabulated statistics reveal that the means of the absolute values of analyst forecast revisions for the remainder of year t + 1 are not significantly different for firms with active and inactive analysts, indicating that both sets of
21
for the full sample is 0.767, which is significantly different from zero and one. The next two
columns reveal that earnings persistence is significantly lower for firms with active analysts. For
firms with inactive analysts, earnings persistence is 0.786; for firms with active analysts, it is
0.710, i.e., 0.786 – 0.076. Thus, active analysts identify firms with less persistent earnings. The
remaining columns of panel A reveal that this pattern continues for earnings further into the
future, although the level of persistence decreases for all subsamples as the horizon increases.
The first two columns of table 5, panel B, reveal that, also consistent with prior research,
for the full sample the accrual component of earnings is significantly less persistent than the
accrual component, i.e., 0.693 for accruals compared with 0.786 for cash flows. The next two
columns reveal that accruals also are significantly less persistent than cash flows for both subsets
of firms. The persistence of accruals and cash flows are 0.762 and 0.793 for firms with inactive
analysts, and 0.492 and 0.742 for firms with active analysts. Notably, the difference in
persistence across earnings components is much larger for firms with active analysts, with most
of the difference attributable to substantially lower persistence of accruals for firms with active
analysts. Both earnings components are significantly less persistent for firms with active
analysts, as indicated by the coefficients on ActAccruals and ActCashFlows, which are negative
and significantly different from zero. As with panel A, these patterns continue for persistence of
cash flows and accruals further into the future, with the persistence of each decreasing as the
horizon increases. Taken together, panels A and B reveal that active analysts identify firms with
significantly less persistent earnings, accruals, and cash flows, consistent with the fact that they
revise their year t + 1 earnings forecasts to reflect reversal of accruals.
analysts revise their forecasts. However, forecast revisions by active analysts are related to accrual reversals whereas revisions by inactive analysts are not.
22
In an attempt to identify the source of the difference in persistence of accruals between
firms with active and inactive analysts, we investigate whether types of accruals differ across
these subsamples. In particular, we test for differences in long-term versus working capital
accruals and in discretionary versus nondiscretionary accruals. Because working capital accruals
are less persistent than long-term accruals, and because discretionary accruals are less persistent
than nondiscretionary accruals (Xie [2000]), we expect that earnings for firms with active
analysts have larger components of working capital and discretionary accruals.
Table 6 presents, by accrual portfolio, time-series means and standard errors of earnings,
Earn, cash flows, CashFlows, accruals, Accruals, and components of accruals: working capital
accruals calculated based on changes in balance sheet amounts, WCBS, long-term accruals, L-T,
working capital accruals based on amounts obtained from the statement of cash flows, WCCF,
discretionary accruals, Dis, and nondiscretionary accruals, Non-Dis. Accruals = WCBS + L-T and
Accruals = Disc + Non-Dis. Discretionary accruals are residuals from annual cross-sectional
estimations of the modified Jones model (see Dechow, Sloan and Sweeney [1996]). Table 6 also
presents statistics for changes from year t to year t + 1 in earnings, ∆Earn, cash flows,
∆CashFlows, and accruals, ∆Accruals. Panel A presents findings for the full sample; panel B
presents findings separately for firms with inactive and active analysts.
Panel A reveals that accrual portfolio ranks are highly positively correlated with earnings
ranks and highly negatively correlated with cash flow ranks, as noted in Sloan [1996]. That is, as
accruals increase monotonically from lowest to highest in portfolios one to ten, so do earnings;
cash flows decrease monotonically. Thus, ranking firms on accruals effectively ranks them on
earnings. Regarding the components of accruals, panel A reveals that each component is
23
monotonically increasing across accrual portfolios. Thus, all components of accruals that we
tabulate contribute to the rank of total accruals.
Panel A also reveals that the reversal of accruals is more dramatic than the mean
reversion in earnings. That is, changes in accruals dominate changes in cash flows in
determining significant earnings changes. This is not surprising given the lower persistence of
accruals relative to cash flows documented in table 5. To see this, note that for the lowest
accrual portfolio, the change in earnings is significantly positive, 0.009, consistent with mean
reversion in earnings. However, the change in accruals for the same portfolio is much larger,
0.103, consistent with accrual reversals that are more dramatic than the mean reversion in
earnings. The change in cash flows is smaller and has the opposite sign, –0.094. The relations
are similar for the highest accrual portfolio, but opposite in sign, again consistent with mean
reversion in earnings and reversals of accruals that are more dramatic than the mean reversion in
earnings. Also noteworthy, the larger accrual changes in the highest accrual portfolio compared
with the lowest portfolio indicate that extremely low earnings are less persistent than extremely
high earnings.
Panel B reveals that the mean reversion of extreme earnings is less for firms with inactive
analysts. For the lowest accrual portfolio, for firms with inactive analysts ∆Earn is 0.004, which
is insignificantly different from zero, and for firms with active analysts ∆Earn is 0.029, which is
significantly positive. For the highest accrual portfolio, for firms with inactive analysts ∆Earn is
–0.025 and for firms with active analysts ∆Earn is –0.062; both are significantly negative. The
p-values indicate that the differences between the two subsamples in the mean reversion of
extreme earnings are significant (p-values <0.001).
24
Interestingly, for the lowest accrual portfolio Earnt is significantly higher, i.e., less
extreme, for firms with active analysts (0.096 compared with 0.56 for firms with inactive
analysts). Yet, the earnings for firms with active analysts mean revert significantly more
quickly. Similarly, for the highest accrual portfolio, Earnt is lower, i.e., less extreme, for firms
with active (versus inactive) analysts, although not significantly so (0.143 and 0.152,
respectively). As with the lowest accrual portfolio, the earnings for firms with active analysts
mean revert significantly more quickly. These findings indicate that active analysts identify
firms with extreme earnings that mean revert more quickly, even though the level of earnings in
year t is not more extreme.12
Panel B also reveals that changes in cash flows do not differ significantly across the two
subsamples. However, changes in accruals are significantly larger for the active versus inactive
analyst subsamples. Consistent with table 5, this indicates that accruals are significantly less
persistent for firms with active analysts.
Partitioning accruals into working capital accruals using changes in balance sheet
accounts and long-term accruals does not explain why accruals of firms with active analysts
reverse more quickly; the means of these components of accruals do not differ significantly
across the two subsamples. However, calculating working capital accruals using cash flow
statement data reveals that firms with active analysts have a significantly larger working capital
accrual component of earnings, which can help explain the less persistent accruals for these
firms.13 Partitioning accruals into discretionary and non-discretionary components reveals
12 Our definition of earnings, operating income after depreciation (Compustat data item 178), excludes extraordinary items, discontinued operations, special items, and nonoperating income, which likely are less persistent than other earnings components. Nonetheless, to ensure that the faster mean reversion in earnings for firms with active analysts is not attributable to nonrecurring items, we test for differences in means and in the frequency of nonzero nonrecurring items for firms with active and inactive analysts. None of the differences is significant. 13 The insignificance of differences for WCBS and significance for WCCF is consistent with use of cash flow statement data to calculate working capital accruals avoiding potential measurement issues associated with balance sheet
25
another possible source of the lower accrual persistence for firms with active analysts. For the
lowest accrual portfolio firms with active analysts have significantly more negative discretionary
accruals than firms with inactive analysts. However, the difference between the two subsamples
is not significant for the highest accrual portfolio. Finding of significantly larger working capital
and discretionary accruals for firms with active analysts is consistent with analysts analyzing
accrual components to identify firms with less persistent accruals.14
5.3 RETURNS TO ACCRUAL-BASED TRADING STRATEGY
We next test whether investors incorporate into share prices the information in analyst
forecast revisions by testing whether the profitability of an accrual-based trading strategy differs
for firms with active and inactive analysts. Table 7 presents the findings for one-, two-, and
three-year ahead returns. Panel A presents portfolio returns for the full sample, and panel B
presents the returns separately for firms with active and inactive analysts. Portfolio returns that
are significantly different from zero are in bold font.
Panel A reveals findings for one-year ahead returns that are consistent with those in Sloan
[1996]. In particular, the returns are monotonically decreasing in the rank of accruals, ranging
from 0.025 for firms in the lowest accrual portfolio to –0.124 for firms in the highest accrual
portfolio. The significantly positive hedge return of 0.149 confirms this relation. Although the
patterns across accrual portfolios of the two- and three-year ahead returns are similar, individual
portfolio returns are significantly different from zero only for two-year ahead returns for the
changes that result from acquisitions, divestitures, extraordinary items, and other non operating factors (see Collins and Hribar [2000] and footnote 4 above). 14 To provide supporting evidence that working capital and discretionary accrual components are the least persistent components of accruals, we estimate a regression of the rank of ∆Accruals on the rank of each accrual component, and compare the adjusted R2s. Untabulated findings indicate that accrual reversals are well explained by working capital (Adj R2 = 21.4%) and discretionary (Adj R2 = 32.7%) accruals, but not by long-term (Adj R2 = 0.2%) and non-discretionary (Adj R2 = 0.5%) accruals.
26
highest accrual portfolio. Thus, the year t + 2 hedge return of 0.051 is significantly different
from zero, and the year t + 3 hedge return is not.
Table 7, panel B, presents portfolio returns for firms with active and inactive analysts.
Regarding firms with inactive analysts, panel B reveals that for all three return horizons, the
highest accrual portfolio has significant negative returns, resulting in significant positive hedge
returns in all three horizons; 0.113, 0.046, and 0.060. Recall from table 6, panel B, that for firms
with inactive analysts the change in earnings for the lowest accrual portfolio is insignificant.
Reflecting this insignificance, the mean returns for the lowest accrual portfolio are insignificant
for all three return horizons. Consequently, investors with limited ability to take short positions
in firms in the highest accrual portfolio, such as institutions, would not profit from investing in
firms with inactive analysts using the accrual-based trading strategy.
Regarding firms with active analysts, table 7, panel B, reveals significant hedge returns
for the one- and two-year horizons, 0.272 and 0.075, but not the three-year horizon, 0.001. In
contrast to firms with inactive analysts, firms with active analysts are associated with returns in
year t + 1 that are significantly different from zero for both extreme accrual portfolios, 0.114 for
the highest accrual portfolio and –0.158 for the lowest portfolio. Thus, even institutional
investors with limited ability to take short positions in the highest accrual portfolio could profit
from investing in firms with active analysts using the accrual-based trading strategy.
Strikingly, the hedge return is more than 27 percent for firms with active analysts in year
t + 1, compared to 11.3 percent for firms with inactive analysts. The difference in the hedge
returns for the two subsamples is significant in year t + 1, but not in subsequent years. The lower
returns to the accrual-based strategy for firms with inactive analysts likely is attributable to the
higher persistence of accruals which results in a smaller difference in persistence between the
27
accrual and cash flow components of earnings for these firms, as shown in table 5. Tests in
section 5.5 explicitly control for cross-subsample differences in the persistence of accruals and
cash flows when examining whether investors price the persistence of these earnings
components.
To determine whether the returns to the trading strategy over three years differ for firms
with active and inactive analysts, we also examine compound returns. Untabulated results reveal
that the means of three-year compound returns are not significantly different across the two
subsamples. Thus, the difference in returns to the accrual-based trading strategy for firms with
active and inactive analysts is in the timing of the returns, and not in the overall magnitude.
Returns generated by the accrual-based trading strategy accrue more quickly for firms with
active analysts.
Table 8 presents results relating to announcement period returns, with the objective of
determining whether the returns generated by the accrual-based trading strategy are driven by
earnings news. Panel A presents returns for the full sample; panel B presents results for firms
with active and inactive analysts. Panel A reveals that although one-year ahead announcement
period returns are positive and significantly different from zero for nine of ten accrual portfolios,
there is no discernable pattern in returns across portfolios. Confirming this, the hedge return is
insignificant in years t + 1 and t + 3, although it is significantly positive in year t + 2.15
Regarding firms with active analysts, panel B reveals that approximately one-half of the
year t + 1 annual hedge return reported in table 7 is generated around earnings announcements.
Specifically, table 8 reveals that the year t + 1 earnings announcement period hedge return is
15 Sloan [1996] also documents positive and significant announcement period returns for portfolios one through seven. However, in contrast to our findings, Sloan [1996] documents a positive and significant hedge return in year t + 1, which is driven by the ‘good news’ announcements of the lowest accrual portfolio. Sloan [1996] fails to find
28
0.135 and table 7 reveals that the year t + 1 annual hedge return is 0.272. An even larger
proportion of the year t + 2 hedge return in generated around earnings announcements, 0.068 of
0.078.16 For firms with inactive analysts, the findings are quite different. In particular, panel B
reveals that the earnings announcement period hedge return is negative in year t + 1 and
insignificant in years t + 2 and t + 3. Recall that the annual hedge returns reported in table 7 are
significantly positive in all three years. These findings suggest that the information that results
in significant annual hedge returns for firms with inactive analysts is not revealed through
subsequent earnings announcements.17
5.4 RETURNS REGRESSION RESULTS
Table 9 presents summary statistics from regressions relating future returns and the
portfolio rank of accruals. Panel A presents estimates from (6) and (7), and panel B presents
estimates from (8) and (9). The first two columns for each return horizon in panel A reveal a
significant negative relation between the portfolio rank of accruals and one-, two-, and three-year
ahead returns, as predicted, and that the magnitude and significance of the relation diminishes
with time. The estimates of δ1 indicate that returns to a zero investment trading strategy based
on accruals generates significant returns for each year, 0.112, 0.043, and 0.030, respectively.
significant returns for the highest accrual portfolio, which could be attributable to using three-day returns that fail to capture ‘bad news’ preannouncements (Chambers and Penman [1984] and Skinner [1994]). 16 For firms with active analysts, announcement period returns for the lowest accrual portfolios are significantly positive in all three subsequent years, highlighting the fact that, consistent with table 7, even investors restricted from short sales can benefit from the accrual-based trading strategy. 17 The insignificant earnings announcement period returns, together with the small difference in the persistence of accruals and cash flows reported in table 5, 0.762 and 0.793, raise the possibility that for firms with inactive analysts, the returns to the accrual-based trading strategy arise from misspecified tests rather than mispriced accruals. In section 5.4, we present results from regression analyses that incorporate as control variables several predictors of future returns documented in prior research. We also base our tests on returns calculated as the residuals from a regression of the returns in our tabulated results on proxies for size, growth, and risk, specifically, the book-to-market ratio, the earnings-to-price ratio, beta, and trading volume. Untabulated results reveal that the inferences from table 7 are unaffected.
29
The second two columns in panel A reveal that in year t + 1 the coefficient on
ActRAccruals is negative and significantly different from zero, indicating that the return to the
trading strategy is significantly larger for firms with active analysts, consistent with the hedge
return results in table 7. The coefficients on ActRAccruals are insignificantly different from zero
in years t + 2 and t + 3, indicating that there is no significant difference in the trading strategy
returns in years t + 2 and t + 3 between firms with active and inactive analysts. However, in year
t + 3, coefficient on RAccruals for firms with active analysts, δ1 + δ1A, is insignificantly different
from zero, whereas the coefficient on RAccruals for firms with inactive analysts is negative and
significantly different from zero. 18 Thus, time t accruals predict returns three years in the future
for firms with inactive analysts, but not for firms with active analysts.
Table 9, panel B, reveals that including other factors shown by prior research to explain
future returns does not affect the inferences drawn from panel A. The relations for the control
variables generally are consistent with on prior research, indicating that several trading strategies
are profitable incremental to the accrual-based trading strategy. More importantly for our
research question, the significant and negative coefficients on RAccruals and ActRAccruals
indicate that for both subsamples in year t + 1 the accrual-based trading strategy is significantly
profitable incremental to these other trading strategies. Panel B also reveals that even after
controlling for other predictors of future returns, the return to the accrual-based trading strategy
is larger for firms with active analysts in year t + 1, but not in subsequent years.19
18 To test the significance of δ1 + δ1A, we use a step-wise linear regression. The time-series mean of δ1 + δ1A is not significantly different from zero (p-value = 0.866). This inference is unaffected by including the control variables as in panel B (p-value = 0.979). 19 We also estimated regressions of future compound returns on the portfolio rank of accruals and the control variables. The untabulated findings reveal that the relation between RAccruals and future returns compounded over three years is insignificantly different for firms with active and inactive analysts (ActRAccruals coefficient = –0.021, standard error = 0.061). Thus, consistent with our other reported results, the primary difference in returns to the trading strategy across the subsamples is in the timing of the returns, and not their overall magnitude.
30
Findings in section 5.2 indicate that firms with active analysts have more working capital
and discretionary accruals than firms with inactive analysts. To ensure that the hedge returns
associated with a trading strategy based on total accruals and analyst activity that we report are
not attributable to these accrual components, we estimate returns to the accrual-based trading
strategy forming portfolios alternatively based on discretionary accruals and working capital
accruals calculated using cash flow statement data. Untabulated findings reveal that the hedge
return associated with discretionary (working capital) accrual-based portfolios is 0.150 (0.177)
for the full sample, 0.114 (0.141) for firms with inactive analysts, and 0.246 (0.295) for firms
with active analysts. The hedge returns are significantly different from zero in the year t + 1 for
all three samples. More importantly for our inferences, consistent with the findings in table 7,the
difference in hedge returns for firms with active and inactive analysts is significant in year t + 1
and insignificant in subsequent years. Untabulated findings also reveal that earnings
announcement period hedge returns in year t + 1 for portfolios based on discretionary (working
capital) accruals are 0.031 (0.018) for the full sample, –0.018 (–0.060) for firms with inactive
analysts, and 0.142 (0.182) for firms with active analysts. All of the hedge returns are
significantly different from zero, except for that associated with working capital accruals for the
full sample. Moreover, consistent with the findings in table 8, the difference in returns for firms
with active and inactive analysts is significant. Thus, partitioning firms on discretionary or
working capital accruals does not affect our inferences relating to analyst activity.
5.5 MISHKIN TESTS OF MARKET PERCEPTIONS
Table 5 reveals that the persistence of earnings, accruals, and cash flows differ for firms
with active and inactive analysts. In particular, accruals are substantially less persistent for firms
with active analysts. The findings in tables 7 and 9 reveal that accruals are more predictive of
31
near-term future returns, i.e., year t + 1, for firms with active analysts, and marginally more
predictive of far-term future returns, i.e., year t + 3, for firms with inactive analysts. Differences
in the timing of the predictable returns appear to reflect differences in the persistence of accruals
between the two subsamples of firms. Thus, we test directly whether the persistence of accruals
and cash flows implicit in future returns are consistent with their actual persistence.20
Table 10 presents results of Mishkin tests associated with jointly estimating equations
(10) and (11) for the full sample and for each subsample. Table 10 reveals that for all samples
and all returns measures, the market overestimates the persistence of accruals, i.e., ratio of γ1* to
γ1 is greater than one, and often underestimates the persistence of cash flows, i.e., ratio of γ2* to
γ2 is often less than one. Regarding one-year ahead returns, the p-values indicate that the
market’s perceived persistence of accruals and cash flows differ significantly from the actual
persistence of accruals and cash flows for all three samples. However, the magnitude of the
overestimation of accruals is substantially larger for firms with active analysts, 1.55 times
compared with 1.07 times for inactive analysts. These findings are consistent with investors
naively pricing accruals and active analysts having identified firms with less persistent accruals,
not with active analysts aiding investors in assessing the valuation implications of accruals.
Regarding two-year ahead returns, although the p-values indicate that for the full sample
investors overestimate the persistence of accruals, this result primarily is attributable to firms
with inactive analysts for which the significance is marginal. For firms with inactive analysts,
the market significantly overestimates the persistence of accruals and underestimates the
persistence of cash flows (p-value = 0.002). In contrast, for firms with active analysts, the
differences between the market’s perception of accruals and cash flow persistence and actual
20 Consistent with Sloan [1996], we find no significant difference in the market’s perception of earnings persistence and actual earnings persistence. This finding holds for the full sample and both subsamples.
32
persistence of these earnings components are insignificant (p-value = 0.265). Regarding three-
year ahead returns, the differences between market perceived and actual persistence are
insignificant for all three samples (p-values 0.201, 0.239, and 0.370 for the full sample, inactive
and active subsamples, respectively).
6. Summary and Concluding Remarks
The objective of this paper is to enhance our understanding of the role of information
intermediaries, specifically financial analysts, in aiding investors’ assessment of the valuation
implications of accounting data. To that end, we examine whether share prices reflect the
predictable reversal of accruals differently depending on whether firms are followed by active
analysts. We define active analysts as those who revise their forecasts of next year’s earnings in
response to the announcement of current year’s earnings in a direction consistent with
understanding that earnings with larger accruals components are less persistent.
Consistent with predictions, we find that active analysts identify firms with substantially
less persistent accruals that result in less persistent earnings, and with a larger difference in the
persistence of accruals and cash flows. These findings suggest that analysts act as sophisticated
information intermediaries. Interestingly, only 25 percent of our sample comprises firms with
active analysts. We find this despite the fact that accruals reverse and earnings mean revert for
most sample firms, indicating that not all analysts understand the differential persistence of the
accrual and cash flow components of earnings. Whether active analysts identify firms with less
persistent earnings because they have superior analytic ability, or because firms with active
analysts have more active management who guide analyst forecast revisions, we cannot say.
Regarding the pricing of accruals, we find that regardless of analyst activity share prices
fail to reflect immediately the accurate pricing of cash flows and accruals. We also find that
33
firms with active analysts generate significantly larger hedge returns in the first year following
portfolio formation, but not in the second and third years, whereas firms with inactive analysts
generate significant hedge returns in all three years. For firms with active analysts, the hedge
return in the first year following portfolio formation is more than double that for firms with
inactive analysts, 27 percent compared with 11 percent. We detect no significant difference
between firms with active and inactive analysts in compound returns over three years, indicating
that the returns differ in timing, but not magnitude. Taken together, these findings are consistent
with firms with active analysts having less persistent accruals and, thus, less persistent earnings,
not with analysts aiding investors in assessing the valuation implications of accruals. However,
we find that for firms with active analysts, one-half of the hedge return in the first year following
portfolio formation occurs in the days surrounding subsequent earnings announcements,
suggesting the return reflects investors’ reactions to earnings news.
Our findings indicate that active analysts are sophisticated information intermediaries in
that they identify firms with less persistent accruals. However, investors do not heed the
information in these analysts’ earnings forecast revisions in that they appear to expect the same
persistence in earnings, regardless of its cash flow and accrual components and regardless of
analyst activity, until the accruals reverse. Thus, incorporating information relating to analyst
activity substantially improves short-term returns to an accrual-based trading strategy.
34
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Tab
le 1
T
ime-
seri
es m
eans
and
sta
ndar
d er
rors
for
sel
ecte
d va
riab
les
for
a sa
mpl
e of
24,
343
firm
-yea
rs f
rom
198
1 to
19
96, f
ull s
ampl
e an
d ac
tive
and
inac
tive
ana
lyst
sub
sam
ples
.
Mea
n St
anda
rd
Err
or
Mea
n St
anda
rd
Err
or
Ear
n
lnM
V
F
ull S
ampl
e 0.
113
0.00
2
Ful
l Sam
ple
5.56
0.
067
Ina
ctiv
e A
naly
sts
0.10
9 0.
002
I
nact
ive
Ana
lyst
s 5.
46
0.06
3 A
ctiv
e A
naly
sts
0.12
7 0.
002
A
ctiv
e A
naly
sts
5.88
0.
080
Cas
hFlo
ws
lnB
M
F
ull S
ampl
e 0.
140
0.00
2
Ful
l Sam
ple
–0.5
64
0.05
4 I
nact
ive
Ana
lyst
s 0.
141
0.00
3
Ina
ctiv
e A
naly
sts
–0.5
40
0.05
2 A
ctiv
e A
naly
sts
0.13
6 0.
003
A
ctiv
e A
naly
sts
–0.6
42
0.05
6 A
ccru
als
E
P
F
ull S
ampl
e –0
.027
0.
003
F
ull S
ampl
e 8.
878
0.62
0 I
nact
ive
Ana
lyst
s –0
.032
0.
003
I
nact
ive
Ana
lyst
s 8.
671
0.71
4 A
ctiv
e A
naly
sts
–0.0
10
0.00
4
Act
ive
Ana
lyst
s 9.
313
0.47
6 R
t+1
B
eta
F
ull S
ampl
e –0
.018
0.
013
F
ull S
ampl
e 0.
989
0.02
1 I
nact
ive
Ana
lyst
s –0
.018
0.
014
I
nact
ive
Ana
lyst
s 0.
956
0.01
9 A
ctiv
e A
naly
sts
–0.0
19
0.01
3
Act
ive
Ana
lyst
s 1.
085
0.02
9 R
t+2
V
OL
Ful
l Sam
ple
–0.0
05
0.01
3
Ful
l Sam
ple
0.83
7 0.
072
Ina
ctiv
e A
naly
sts
–0.0
03
0.01
3
Ina
ctiv
e A
naly
sts
0.78
7 0.
066
Act
ive
Ana
lyst
s –0
.013
0.
013
A
ctiv
e A
naly
sts
0.98
6 0.
088
Rt+
3
Num
ber
of A
naly
sts
Ful
l Sam
ple
–0.0
08
0.00
9
Ful
l Sam
ple
7.98
0.
223
Ina
ctiv
e A
naly
sts
–0.0
04
0.01
0
Ina
ctiv
e A
naly
sts
7.47
0.
236
Act
ive
Ana
lyst
s –0
.020
0.
011
A
ctiv
e A
naly
sts
9.53
0.
243
41
Ear
n =
ear
ning
s fr
om c
ontin
uing
ope
ratio
ns a
fter
dep
reci
atio
n, s
cale
d by
ave
rage
tota
l ass
ets.
C
ashF
low
s =
Ear
n –
Acc
rual
s.
Acc
rual
s =
(∆C
A –
∆C
ASH
) –
(∆C
L –
∆ST
D)
– D
EP
, whe
re ∆
CA
= c
hang
e in
cur
rent
ass
ets,
∆C
ASH
= c
hang
e in
cas
h/ca
sh
equi
vale
nts,
∆C
L =
cha
nge
in c
urre
nt li
abil
itie
s, ∆
STD
= c
hang
e in
deb
t inc
lude
d in
cur
rent
liab
ilitie
s, a
nd D
EP
= d
epre
ciat
ion
and
amor
tiza
tion
exp
ense
, all
scal
ed b
y av
erag
e to
tal a
sset
s.
R =
Ann
ual s
ize-
adju
sted
ret
urns
fro
m th
e be
ginn
ing
of th
e fo
urth
mon
th a
fter
the
fisc
al y
ear
to th
e en
d of
the
fift
eent
h m
onth
aft
er th
e fi
scal
yea
r. R
etur
ns a
re th
e fi
rm’s
ret
urn
min
us th
e m
ean
retu
rn f
or th
e fi
rm’s
siz
e de
cile
, bas
ed o
n m
arke
t val
ue o
f eq
uity
at t
he
begi
nnin
g of
the
year
.
lnM
V =
nat
ural
loga
rith
m o
f th
e m
arke
t val
ue o
f eq
uity
.
lnB
M =
nat
ural
loga
rith
m o
f th
e bo
ok-t
o-m
arke
t rat
io.
E
P =
the
earn
ings
-to-
pric
e ra
tio.
B
eta
= b
eta
obta
ined
fro
m C
RSP
.
VO
L =
ann
ual t
radi
ng v
olum
e di
vide
d by
sha
res
outs
tand
ing.
N
umbe
r of
Ana
lyst
s fo
llow
ing
the
firm
is m
easu
red
in th
e m
onth
of
the
firm
’s f
isca
l yea
r en
d.
An
obse
rvat
ion
is in
clud
ed in
the
acti
ve a
naly
st s
ubsa
mpl
e if
the
mea
n co
nsen
sus
anal
yst f
orec
ast f
or y
ear
t + 1
is r
evis
ed a
t the
yea
r t
earn
ings
ann
ounc
emen
t in
the
dire
ctio
n im
plie
d by
a r
ever
sal o
f ye
ar t
accr
uals
; oth
erw
ise
it is
incl
uded
in th
e in
acti
ve a
naly
st
subs
ampl
e.
Bol
ded
(Ita
lici
zed)
am
ount
s in
dica
te th
at th
e tim
e-se
ries
mea
ns a
re d
iffe
rent
for
the
two
subs
ampl
es a
t a s
igni
fica
nce
leve
l of
0.05
(0
.10)
usi
ng a
two-
taile
d t-
test
.
42
Table 2 Time-series means and standard errors for revisions of year t + 1 analyst earnings forecasts
for ten portfolios formed annually based on the magnitude of accruals and for 16 annual regressions of revisions of year t + 1 analyst earnings forecasts on the portfolio rank of
accruals. Sample of 24,343 firm-years from 1981 to 1996. Panel A: Revisions of year t + 1 analyst earnings forecasts, by accrual portfolio.
at year t earnings announcement during remainder of year t + 1
Accrual Portfolio
No. of Obs
Mean
Abnormal
Mean
Std Error (Abnormal
Mean)
Mean
Abnormal
Mean
Std Error (Abnormal
Mean)
Low 1,974 –0.0034 –0.0013 0.0004 –0.0099 0.0012 0.0009 2 2,089 –0.0025 –0.0005 0.0001 –0.0099 0.0013 0.0008 3 2,113 –0.0021 –0.0001 0.0003 –0.0109 0.0002 0.0005 4 2,157 –0.0018 0.0003 0.0002 –0.0095 0.0016 0.0005 5 2,150 –0.0012 0.0008 0.0002 –0.0090 0.0021 0.0005 6 2,118 –0.0017 0.0004 0.0002 –0.0100 0.0012 0.0007 7 2,106 –0.0016 0.0005 0.0002 –0.0104 0.0008 0.0005 8 2,084 –0.0021 0.0000 0.0002 –0.0122 –0.0011 0.0005 9 2,085 –0.0021 0.0000 0.0002 –0.0138 –0.0027 0.0006
High 2,051 –0.0023 –0.0002 0.0002 –0.0158 –0.0046 0.0005
Panel B: Time-series means and standard errors of coefficients from 16 annual regressions of revisions of year t + 1 analyst earnings forecasts on the portfolio rank of accruals.
ittt RAccrualsRevision ++ ++= εηη 101
at year t earnings announcement during remainder of year t + 1 Variables Pred Mean Std Error Mean Std Error
Intercept ? –0.002 0.001 –0.009 0.001 RAccruals – 0.001 0.001 –0.005 0.001
Adj R2 0.002 0.006
Accrual portfolio is portfolio based on Accruals in year t. Firms with lowest accruals are in portfolio 1; firms with highest accruals are in portfolio 10. RAccruals the rank of the accrual portfolio in year t, scaled to be between 0 and 1. Accruals = (∆CA – ∆CASH) – (∆CL – ∆STD) – DEP, where ∆CA = change in current assets, ∆CASH = change in cash/cash equivalents, ∆CL = change in current liabilities, ∆STD = change in debt included in current liabilities, and DEP = depreciation and amortization expense, all scaled by average total assets. Revision is revision of year t + 1 analyst earnings forecast, which
43
is measured as a change in the mean consensus forecast, with the earlier forecast subtracted from the later forecast, scaled by price at the end of year t. Abnormal forecast revision is the forecast revision in excess of the calendar-year mean revision for the same forecast period. Analyst forecast revision data are available for 20,927 observations. Bolded amounts indicate that the time-series means of abnormal forecast revisions are different for the two subsamples at a significance level of 0.05 using a two-tailed t-test.
Tab
le 3
M
ean
accr
uals
, ana
lyst
for
ecas
t re
visi
ons,
and
cha
nge
in a
ccru
als,
by
accr
ual p
ortf
olio
and
sig
n of
the
for
ecas
t re
visi
on.
Sam
ple
of 2
4,34
3 fi
rm-y
ears
fro
m 1
981
to 1
996.
A
ccru
al
Si
gn o
f Fo
reca
st R
evis
ion
A
ccru
al
Si
gn o
f Fo
reca
st R
evis
ion
Port
folio
N
egat
ive
Zer
o Po
sitiv
e
Port
folio
N
egat
ive
Zer
o Po
sitiv
e
1 A
ccru
als
–0.1
67
–0.1
73
–0.1
72
6
Acc
rual
s –0
.029
–0
.028
–0
.027
Rev
isio
n –0
.011
0.
000
0.00
6
R
evis
ion
–0.0
06
0.00
0 0.
003
∆A
ccru
als
0.08
7 0.
107
0.11
7
∆A
ccru
als
–0.0
12
0.00
3 –0
.004
# ob
s 84
2 64
5 48
7
#
obs
854
773
491
2 A
ccru
als
–0.0
97
–0.0
97
–0.0
98
7
Acc
rual
s –0
.012
–0
.012
–0
.011
Rev
isio
n –0
.008
0.
000
0.00
4
R
evis
ion
–0.0
06
0.00
0 0.
004
∆A
ccru
als
0.02
7 0.
044
0.04
7
∆A
ccru
als
–0.0
25
–0.0
12
–0.0
09
#
obs
907
676
506
# ob
s 88
7 77
1 44
8
3 A
ccru
als
–0.0
73
–0.0
72
–0.0
72
8
Acc
rual
s 0.
009
0.01
0 0.
011
R
evis
ion
–0.0
07
0.00
0 0.
004
Rev
isio
n –0
.006
0.
000
0.00
3
∆Acc
rual
s 0.
015
0.02
4 0.
026
∆Acc
rual
s –0
.043
–0
.029
–0
.017
# ob
s 94
9 69
6 46
8
#
obs
883
737
464
4 A
ccru
als
–0.0
57
–0.0
56
–0.0
55
9
Acc
rual
s 0.
044
0.04
4 0.
047
R
evis
ion
–0.0
07
0.00
0 0.
004
Rev
isio
n –0
.007
0.
000
0.00
4
∆Acc
rual
s 0.
005
0.01
6 0.
019
∆Acc
rual
s –0
.070
–0
.046
–0
.039
# ob
s 90
3 71
3 54
1
#
obs
856
805
424
5 A
ccru
als
–0.0
42
–0.0
42
–0.0
41
10
A
ccru
als
0.15
2 0.
153
0.15
3
Rev
isio
n –0
.005
0.
000
0.00
4
R
evis
ion
–0.0
08
0.00
0 0.
004
∆A
ccru
als
–0.0
04
0.00
8 0.
012
∆Acc
rual
s –0
.169
–0
.129
–0
.117
# ob
s 88
9 73
6 52
5
#
obs
806
758
487
45
Acc
rual
Por
tfol
io is
the
accr
ual p
ortf
olio
in y
ear
t. L
owes
t acc
rual
s in
por
tfol
io 1
; Hig
hest
acc
rual
s in
por
tfol
io 1
0.
Acc
rual
s =
(∆C
A –
∆C
ASH
) –
(∆C
L –
∆ST
D)
– D
EP
, whe
re ∆
CA
= c
hang
e in
cur
rent
ass
ets,
∆C
ASH
= c
hang
e in
cas
h/ca
sh
equi
vale
nts,
∆C
L =
cha
nge
in c
urre
nt li
abil
itie
s, ∆
STD
= c
hang
e in
deb
t inc
lude
d in
cur
rent
liab
ilitie
s, a
nd D
EP
= d
epre
ciat
ion
and
amor
tiza
tion
exp
ense
, all
scal
ed b
y av
erag
e to
tal a
sset
s.
∆Acc
rual
s =
cha
nge
in a
ccru
als
is m
easu
red
as A
ccru
als
in y
ear
t + 1
min
us A
ccru
als
in y
ear
t, sc
aled
by
aver
age
tota
l ass
ets.
R
evis
ion
= a
naly
st f
orec
ast r
evis
ions
for
yea
r t +
1 e
arni
ngs
mad
e in
the
mon
th o
f ye
ar t
earn
ings
ann
ounc
emen
t. F
orec
ast r
evis
ions
ar
e m
easu
red
as c
hang
es in
the
mea
n co
nsen
sus
fore
cast
, wit
h th
e ea
rlie
r fo
reca
st s
ubtr
acte
d fr
om th
e la
ter
fore
cast
, sca
led
by p
rice
at
the
end
of y
ear
t. A
naly
st f
orec
ast r
evis
ion
data
are
ava
ilabl
e fo
r 20
,927
obs
erva
tions
.
46
Table 4 Descriptive statistics for analyst forecast revisions of time t + 1 earnings for ten portfolios formed annually based on the magnitude of accruals. Summary statistics from 16 annual
regressions of analyst forecast revisions of year t + 1 earnings on portfolio ranks of accruals. Time-series means and standard errors. Subsamples based on analyst activity.
Full sample of 24,343 firm-years from 1981 to 1996. Panel A: Revisions of year t + 1 analyst earnings forecasts, by accrual portfolio
at time t earnings announcement for the remainder of year t + 1
Accrual Portfolio
# Obs
Mean
Abnormal
Mean
Std Error (Abnormal
Mean)
Mean
Abnormal
Mean
Std Error (Abnormal
Mean)
Inactive Analysts Low 1,487 –0.0064 –0.0044 0.0004 –0.0130 –0.0019 0.0011
2 1,583 –0.0046 –0.0025 0.0001 –0.0119 –0.0008 0.0006 3 1,645 –0.0038 –0.0018 0.0002 –0.0133 –0.0021 0.0006 4 1,616 –0.0036 –0.0015 0.0002 –0.0120 –0.0009 0.0006 5 1,625 –0.0029 –0.0008 0.0002 –0.0113 –0.0002 0.0006 6 1,623 –0.0031 –0.0010 0.0002 –0.0120 –0.0009 0.0008 7 1,601 –0.0024 –0.0003 0.0004 –0.0114 –0.0002 0.0007 8 1,366 –0.0001 0.0020 0.0005 –0.0097 0.0014 0.0009 9 1,229 0.0013 0.0034 0.0003 –0.0092 0.0019 0.0006
High 1,245 0.0016 0.0036 0.0002 –0.0104 0.0007 0.0005
Active Analysts Low 487 0.0066 0.0086 0.0005 0.0004 0.0115 0.0012
2 506 0.0049 0.0070 0.0008 –0.0033 0.0079 0.0017 3 468 0.0046 0.0067 0.0007 –0.0015 0.0097 0.0015 4 541 0.0045 0.0065 0.0006 –0.0024 0.0088 0.0010 5 525 0.0040 0.0060 0.0004 –0.0017 0.0094 0.0009 6 495 0.0032 0.0053 0.0004 –0.0027 0.0084 0.0007 7 505 0.0023 0.0044 0.0011 –0.0052 0.0059 0.0014 8 718 –0.0047 –0.0026 0.0010 –0.0156 –0.0045 0.0016 9 856 –0.0066 –0.0045 0.0004 –0.0202 –0.0090 0.0010
High 806 –0.0080 –0.0059 0.0005 –0.0243 –0.0132 0.0006
47
Table 4 (continued) Descriptive statistics for analyst forecast revisions of time t + 1 earnings for ten portfolios formed annually based on the magnitude of accruals. Summary statistics from 16 annual
regressions of analyst forecast revisions of year t + 1 earnings on portfolio ranks of accruals. Time-series means and standard errors. Subsamples based on analyst activity.
Full sample of 24,343 firm-years from 1981 to 1996. Panel B: Time-series means and standard errors of coefficients from 16 annual regressions of analyst forecast revisions of year t + 1 earnings on portfolio ranks of accruals.
ittt RAccrualsRevision ++ ++= εηη 101
at year t earnings announcement for the remainder of year t + 1
Variable Pred Mean Std Error Mean Std Error
Inactive Analysts Intercept ? –0.006 0.001 –0.013 0.001 RAccruals – 0.007 0.001 0.003 0.001
Adj R2 0.075 0.003 Active Analysts Intercept ? 0.009 0.001 0.005 0.001 RAccruals – –0.016 0.001 –0.025 0.001
Adj R2 0.221 0.120 Accrual portfolio is portfolio based on Accruals in year t. Firms with lowest accruals are in portfolio 1; firms with highest accruals are in portfolio 10. RAccruals is the rank of the accrual portfolio in year t, scaled to be between 0 and 1. Accruals = (∆CA – ∆CASH) – (∆CL – ∆STD) – DEP, where ∆CA = change in current assets, ∆CASH = change in cash/cash equivalents, ∆CL = change in current liabilities, ∆STD = change in debt included in current liabilities, and DEP = depreciation and amortization expense, all scaled by average total assets. Revision = Analyst forecast revisions for year t + 1 earnings measured as changes in the mean consensus forecast, with the earlier forecast subtracted from the later forecast, scaled by price at the end of year t. To calculate the abnormal mean revision, we calculate the average revision for each fiscal year (calculated separately for each of the two types of revisions) and subtract this average from the firm-year revisions. Analyst forecast revision data are available for 20,927 observations. An observation is included in the active analyst subsample when the mean consensus analyst forecast for year t + 1 is revised at year t earnings announcement in the direction implied by a reversal of year t accruals; otherwise the observation is included in the inactive analyst subsample. Bolded amounts in panel A indicated that the mean abnormal forecast revision is different from zero at 0.05 or less using a two-tailed test.
Tab
le 5
Su
mm
ary
stat
isti
cs f
rom
ann
ual r
egre
ssio
ns o
f fu
ture
ear
ning
s on
lagg
ed e
arni
ngs
and
the
accr
ual a
nd c
ash
flow
com
pone
nts
of la
gged
ear
ning
s. S
ampl
e of
24,
343
firm
-yea
rs f
rom
198
1 to
199
6, f
ull s
ampl
e an
d su
bsam
ples
bas
ed o
n an
alys
t ac
tivi
ty.
Tim
e-se
ries
mea
ns a
nd s
tand
ard
erro
rs o
f co
effi
cien
t es
tim
ates
. P
anel
A:
11
10
0+
++
++
+=
tt
At
tA
it
Act
Ear
nE
arn
Act
ive
Ear
nυ
αα
αα
E
arn t
+1
E
arn t
+2
E
arn t
+3
Var
iabl
es
Pre
d M
ean
St
d E
rr
Mea
n St
d E
rr
M
ean
St
d E
rr
Mea
n
Std
Err
Mea
n S
td E
rr
Mea
n
Std
Err
In
terc
ept
?
0.01
8 0.
002
0.01
6 0.
002
0.
035
0.00
3 0.
033
0.00
3
0.04
6 0.
003
0.04
5 0.
003
Act
ive
?
0.00
9 0.
002
0.
008
0.00
4
0.00
3 0.
004
Ear
n t
+
0.
767
0.00
8 0.
786
0.00
8
0.59
3 0.
014
0.61
3 0.
011
0.
497
0.01
3 0.
517
0.01
0 A
ctE
arn
t –
–0
.076
0.
014
–0
.079
0.
030
–0.
074
0.03
1
Act
ive
Ana
lyst
s:
C
oef
Std
Err
Coe
f St
d E
rr
Coe
f St
d E
rr
Ear
n t
0.
710
0.01
4
0.53
4 0.
032
0.
443
0.03
2
A
dj R
2
0.60
1
0.60
3
0.
375
0.
378
0.27
3
0.27
8
49
Tab
le 5
(co
ntin
ued)
Su
mm
ary
stat
isti
cs f
rom
ann
ual r
egre
ssio
ns o
f fu
ture
ear
ning
s on
lagg
ed e
arni
ngs
and
the
accr
ual a
nd c
ash
flow
com
pone
nts
of la
gged
ear
ning
s. S
ampl
e of
24,
343
firm
-yea
rs f
rom
198
1 to
199
6, f
ull s
ampl
e an
d su
bsam
ples
bas
ed o
n an
alys
t ac
tivi
ty.
Tim
e-se
ries
mea
ns a
nd s
tand
ard
erro
rs o
f co
effi
cien
t es
tim
ates
. P
anel
B:
1
22
11
00
++
++
++
++
=t
tA
tt
At
tA
it
ws
Act
Cas
hFlo
Cas
hFlo
ws
sA
ctA
ccru
alA
ccru
als
Act
ive
Ear
nυ
γγ
γγ
γγ
E
arn t
+1
E
arn t
+2
E
arn t
+3
Var
iabl
es
Pre
d M
ean
St
d E
rr
Mea
n St
d E
rr
M
ean
Std
Err
M
ean
Std
Err
Mea
n St
d E
rr
Mea
n S
td E
rr
Inte
rcep
t ?
0.01
3 0.
002
0.01
4 0.
002
0.
030
0.00
3 0.
030
0.00
3
0.04
0 0.
003
0.04
0 0.
003
Act
ive
?
0.
004
0.00
3
0.00
7 0.
005
0.
003
0.00
4 A
ccru
als t
+
0.
693
0.01
1 0.
762
0.01
2
0.51
0 0.
015
0.56
0 0.
016
0.
410
0.01
5 0.
452
0.01
4 A
ctA
ccru
als t
–
–0.2
70
0.01
7
–0.1
93
0.02
6
–
0.15
6 0.
033
Cas
hFlo
ws t
+
0.
786
0.00
8 0.
793
0.00
8
0.61
4 0.
014
0.62
9 0.
011
0.
519
0.01
4 0.
536
0.01
2 A
ctC
ashF
low
s t
?
–0
.051
0.
015
–0
.072
0.
032
–0
.073
0.
029
A
ctiv
e A
naly
sts:
Coe
f St
d E
rr
C
oef
Std
Err
C
o St
d E
rr
Acc
rual
s t
0.49
2 0.
016
0.
367
0.02
7
0.29
6 0.
033
Cas
hFlo
ws t
0.
742
0.01
4
0.55
7 0.
033
0.
463
0.03
1
p-va
lues
for
dif
fere
nce
in p
ersi
sten
ce o
f C
ashF
low
s an
d A
ccru
als:
F
ull s
ampl
e
0.00
0
0.
000
0.00
0
I
nact
ive
Ana
lyst
s
0.
000
0.00
0
0.
000
Act
ive
Ana
lyst
s
0.
000
0.00
0
0.
000
A
dj R
2 0.
609
0.
620
0.38
5
0.39
2
0.
284
0.
290
The
re a
re 1
6, 1
5, a
nd 1
4 an
nual
reg
ress
ions
for
the
equa
tion
with
Ear
n t+
1, E
arn t
+2, o
r E
arn t
+3, a
s th
e de
pend
ent v
aria
ble.
E
arn
= e
arni
ngs
from
con
tinui
ng o
pera
tions
aft
er d
epre
ciat
ion,
sca
led
by a
vera
ge to
tal a
sset
s.
Cas
hFlo
ws
= E
arn
– A
ccru
als.
50
Acc
rual
s =
(∆C
A –
∆C
ASH
) –
(∆C
L –
∆ST
D)
– D
EP
, whe
re ∆
CA
= c
hang
e in
cur
rent
ass
ets,
∆C
ASH
= c
hang
e in
cas
h/ca
sh
equi
vale
nts,
∆C
L =
cha
nge
in c
urre
nt li
abil
itie
s, ∆
STD
= c
hang
e in
deb
t inc
lude
d in
cur
rent
liab
ilitie
s, a
nd D
EP
= d
epre
ciat
ion
and
amor
tiza
tion
exp
ense
, all
scal
ed b
y av
erag
e to
tal a
sset
s.
Act
ive
is a
n in
dica
tor
vari
able
whi
ch e
qual
s 1
whe
n th
e m
ean
cons
ensu
s an
alys
t for
ecas
t for
yea
r t +
1 is
rev
ised
at y
ear
t ear
ning
s an
noun
cem
ent i
n th
e di
rect
ion
impl
ied
by a
rev
ersa
l of
year
t ac
crua
ls, a
nd 0
oth
erw
ise.
A
ctE
arn
= A
ctiv
e ×
Ear
n; A
ctA
ccru
als
= A
ctiv
e ×
Acc
rual
s; A
ctC
ashF
low
s =
Act
ive
× C
ashF
low
s.
p-va
lues
in p
anel
B a
re a
ssoc
iate
d w
ith
F-te
sts
of w
heth
er th
e pe
rsis
tenc
e of
acc
rual
s an
d ca
sh f
low
s si
gnif
ican
tly
diff
er.
51
Tab
le 6
M
eans
of
sele
cted
var
iabl
es f
or t
en p
ortf
olio
s fo
rmed
ann
ually
bas
ed o
n th
e m
agni
tude
of
accr
uals
. F
ull s
ampl
e an
d su
bsam
ples
bas
ed o
n an
alys
t ac
tivi
ty.
Ful
l sam
ple
cons
ists
of
24,3
43 f
irm
-yea
rs b
etw
een
1981
to
1996
. P
anel
A:
Ful
l sam
ple
Ear
ning
s
Com
pone
nts
of E
arni
ngs
C
ompo
nent
s of
Acc
rual
s A
ccru
al
E
arn
Cas
hFlo
ws
A
ccru
als
Por
tfol
io
t t +
1
∆
t ∆
t
∆
WC
BS
L-T
W
CC
F
Dis
N
onD
is
Low
0.
064
0.08
5 0.
009
0.
237
–0.0
94
–0
.173
0.
103
–0
.096
–0
.077
–0
.045
–0
.136
–0
.038
2
0.09
7 0.
100
–0.0
01
0.
194
–0.0
39
–0
.097
0.
038
–0
.033
–0
.065
–0
.015
–0
.060
–0
.042
3
0.10
5 0.
106
–0.0
03
0.
177
–0.0
23
–0
.072
0.
020
–0
.015
–0
.057
–0
.005
–0
.035
–0
.040
4
0.10
6 0.
105
–0.0
04
0.
162
–0.0
16
–0
.056
0.
011
–0
.005
–0
.051
0.
002
–0.0
19
–0.0
39
5 0.
114
0.11
1 –0
.005
0.15
5 –0
.009
–0.0
42
0.00
4
0.00
4 –0
.046
0.
009
–0.0
07
–0.0
37
6 0.
113
0.10
9 –0
.006
0.14
1 –0
.001
–0.0
28
–0.0
05
0.
015
–0.0
43
0.01
8 0.
005
–0.0
34
7 0.
120
0.11
3 –0
.011
0.13
1 0.
006
–0
.011
–0
.017
0.02
9 –0
.040
0.
030
0.01
5 –0
.027
8
0.12
5 0.
115
–0.0
14
0.
115
0.01
9
0.01
0 –0
.032
0.04
9 –0
.039
0.
047
0.02
9 –0
.018
9
0.13
6 0.
120
–0.0
20
0.
091
0.03
7
0.04
5 –0
.057
0.08
2 –0
.037
0.
071
0.06
0 –0
.010
H
igh
0.14
9 0.
115
–0.0
38
–0
.006
0.
109
0.
155
–0.1
48
0.
188
–0.0
33
0.14
8 0.
169
0.01
1
52
Tab
le 6
(co
ntin
ued)
M
eans
of
sele
cted
var
iabl
es f
or t
en p
ortf
olio
s fo
rmed
ann
ually
bas
ed o
n th
e m
agni
tude
of
accr
uals
. F
ull s
ampl
e an
d su
bsam
ples
bas
ed o
n an
alys
t ac
tivi
ty.
Ful
l sam
ple
cons
ists
of
24,3
43 f
irm
-yea
rs b
etw
een
1981
to
1996
. P
anel
B:
Inac
tive
and
Act
ive
Ana
lyst
Sub
sam
ples
E
arni
ngs
C
ompo
nent
s of
Ear
ning
s
Com
pone
nts
of A
ccru
als
Acc
rual
Ear
n
C
ashF
low
s
Acc
rual
s
P
ortf
olio
t
t + 1
∆
t
∆
t ∆
W
CB
S L
-T
WC
CF
Dis
N
onD
is
Inac
tive
Ana
lyst
s
L
ow
0.05
6 0.
072
0.00
4
0.22
9 –0
.095
–0.1
73
0.09
9
–0.0
95
–0.0
78
–0.0
41
–0.1
33
–0.0
40
2 0.
091
0.09
1 –0
.005
0.18
8 –0
.040
–0.0
97
0.03
5
–0.0
32
–0.0
65
–0.0
15
–0.0
59
–0.0
42
3 0.
100
0.10
0 –0
.005
0.17
3 –0
.024
–0.0
72
0.01
8
–0.0
15
–0.0
57
–0.0
04
–0.0
35
–0.0
40
4 0.
102
0.09
8 –0
.007
0.15
8 –0
.017
–0.0
56
0.01
0
–0.0
05
–0.0
51
0.00
3 –0
.019
–0
.039
5
0.11
2 0.
106
–0.0
08
0.
153
–0.0
10
–0
.042
0.
002
0.
004
–0.0
46
0.00
9 –0
.007
–0
.037
6
0.10
9 0.
103
–0.0
08
0.
137
–0.0
04
–0
.028
–0.
005
0.
015
–0.0
42
0.01
8 0.
005
–0.0
34
7 0.
118
0.11
1 –0
.011
0.12
9 0.
006
–0
.011
–0.
017
0.
029
–0.0
40
0.03
0 0.
015
–0.0
27
8 0.
124
0.11
8 –0
.010
0.11
4 0.
018
0.
010
–0.0
28
0.
048
–0.0
38
0.04
5 0.
027
–0.0
16
9 0.
139
0.13
4 –0
.012
0.09
4 0.
037
0.
045
–0.0
49
0.
081
–0.0
36
0.07
0 0.
058
–0.0
08
Hig
h 0.
152
0.13
4 –0
.025
–0.0
05
0.11
2
0.15
8 –0
.137
0.19
0 –0
.032
0.
141
0.17
0 0.
013
Act
ive
Ana
lyst
s
L
ow
0.09
6 0.
131
0.02
9
0.26
9 –0
.092
–0.1
73
0.12
1
–0.1
01
–0.0
72
–0.0
64
–0.1
47
–0.0
29
2 0.
120
0.13
1 0.
010
0.
219
–0.0
36
–0
.099
0.
046
–0
.035
–0
.064
–0
.018
–0
.065
–0
.039
3
0.12
4 0.
129
0.00
7
0.19
6 –0
.019
–0.0
72
0.02
6
–0.0
16
–0.0
57
–0.0
07
–0.0
38
–0.0
39
4 0.
122
0.12
7 0.
004
0.
178
–0.0
13
–0
.056
0.
017
–0
.006
–0
.049
–0
.001
–0
.019
–0
.040
5
0.12
2 0.
128
0.00
6
0.16
4 –0
.005
–0.0
41
0.01
1
0.00
4 –0
.045
0.
008
–0.0
06
–0.0
38
6 0.
129
0.13
1 0.
002
0.
157
0.00
8
–0.0
27 –
0.00
6
0.01
5 –0
.042
0.
018
0.00
4 –0
.033
7
0.13
1 0.
128
–0.0
05
0.
142
0.01
0
–0.0
11 –
0.01
5
0.02
9 –0
.040
0.
028
0.01
5 –0
.027
8
0.12
9 0.
112
–0.0
18
0.
118
0.02
0
0.01
1 –0
.039
0.05
1 –0
.040
0.
049
0.03
2 –0
.020
9
0.12
9 0.
098
–0.0
31
0.
084
0.03
8
0.04
5 –0
.069
0.08
3 –0
.039
0.
070
0.06
4 –0
.014
H
igh
0.14
3 0.
083
–0.0
62
–0
.007
0.
105
0.
151
–0.1
67
0.
184
–0.0
34
0.16
2 0.
168
0.00
8
L
ow
p-v
alue
<
0.0
01
< 0.
001
< 0.
001
<
0.00
1 0.
722
0.
938
0.01
6
0.43
3 0.
088
0.01
1 0.
028
0.01
2 H
igh
p-
valu
e 0.
087
< 0.
001
< 0.
001
0.
871
0.50
1
0.53
1 0.
026
0.
616
0.11
6 0.
052
0.88
2 0.
522
53
Ear
n =
ear
ning
s fr
om c
ontin
uing
ope
ratio
ns a
fter
dep
reci
atio
n, s
cale
d by
ave
rage
tota
l ass
ets.
C
ashF
low
s =
Ear
n –
Acc
rual
s.
Acc
rual
s =
(∆C
A –
∆C
ASH
) –
(∆C
L –
∆ST
D)
– D
EP
, whe
re ∆
CA
= c
hang
e in
cur
rent
ass
ets,
∆C
ASH
= c
hang
e in
cas
h/ca
sh
equi
vale
nts,
∆C
L =
cha
nge
in c
urre
nt li
abil
itie
s, ∆
STD
= c
hang
e in
deb
t inc
lude
d in
cur
rent
liab
ilitie
s, a
nd D
EP
= d
epre
ciat
ion
and
amor
tiza
tion
exp
ense
, all
scal
ed b
y av
erag
e to
tal a
sset
s.
Acc
rual
Por
tfol
io is
the
accr
ual p
ortf
olio
in y
ear
t. L
owes
t acc
rual
s in
por
tfol
io 1
; Hig
hest
acc
rual
s in
por
tfol
io 1
0.
∆ de
note
s ch
ange
fro
m y
ear
t to
year
t +
1.
WC
BS
= w
orki
ng c
apita
l acc
rual
s, c
alcu
late
d us
ing
chan
ges
in w
orki
ng c
apita
l acc
ount
s fr
om th
e ba
lanc
e sh
eet (
# 1,
4, 5
, 34)
, sca
led
by
aver
age
tota
l ass
ets.
L
-T =
Acc
rual
s –
WC
BS.
W
CC
F =
wor
king
cap
ital a
ccru
als,
cal
cula
ted
usin
g ch
ange
s in
wor
king
cap
ital a
ccou
nts
from
the
stat
emen
t of
cash
flo
ws
(# 3
02, 3
03,
304,
305
and
307
), s
cale
d by
ave
rage
tota
l ass
ets.
D
is =
dis
cret
iona
ry a
ccru
als,
cal
cula
ted
as th
e re
sidu
als
from
ann
ual c
ross
-sec
tiona
l est
imat
ions
of
the
mod
ifie
d Jo
nes
mod
el (
see
Dec
how
, Slo
an a
nd S
wee
ney
[199
6]).
N
onD
is =
Acc
rual
s –
Dis
. A
n ob
serv
atio
n is
incl
uded
in th
e ac
tive
ana
lyst
sub
sam
ple
whe
n th
e m
ean
cons
ensu
s an
alys
t for
ecas
t for
yea
r t +
1 is
rev
ised
at y
ear
t ea
rnin
gs a
nnou
ncem
ent i
n th
e di
rect
ion
impl
ied
by a
rev
ersa
l of
year
t ac
crua
ls; o
ther
wis
e th
e ob
serv
atio
n is
incl
uded
in th
e in
acti
ve
anal
yst s
ubsa
mpl
e.
Bol
ded
amou
nts
indi
cate
that
the
mea
n ∆E
arn
is s
igni
fica
ntly
dif
fere
nt f
rom
zer
o at
0.0
5 or
less
usi
ng a
two-
taile
d te
st.
p-va
lues
indi
cate
the
sign
ific
ance
of
the
diff
eren
ce in
mea
ns b
etw
een
the
acti
ve a
nd in
acti
ve s
ampl
e fo
r th
e L
ow a
nd H
igh
accr
ual
port
folio
s. p
-val
ues
less
than
0.0
5 ar
e bo
lded
.
Table 7 Time-series means and standard errors of equally weighted portfolio size-adjusted returns,
with the lowest portfolio having the smallest accruals. The hedge portfolio returns is the mean return to a portfolio that invests long in firms in the lowest accruals portfolio and
short in firms with the highest accruals portfolio. Sample of 24,343 firm-years from 1981 to 1996, full sample and subsamples based on analyst activity.
Panel A: Full Sample
Accrual Portfolio # Obs Rt+1 Rt+2 Rt+3 Std Errt+1 Std Errt+2 Std Errt+3
Low 2,426 0.025 –0.007 0.006 0.023 0.022 0.022
2 2,437 0.017 0.017 0.008 0.021 0.017 0.016 3 2,436 0.004 0.000 –0.013 0.020 0.019 0.012 4 2,435 0.001 0.013 –0.004 0.016 0.015 0.013 5 2,435 0.002 0.001 0.007 0.014 0.013 0.012 6 2,438 –0.008 –0.004 –0.004 0.018 0.015 0.011 7 2,436 –0.012 0.009 –0.014 0.013 0.015 0.014 8 2,435 –0.033 –0.013 –0.009 0.013 0.016 0.011 9 2,438 –0.052 –0.012 –0.018 0.017 0.020 0.013
High 2,427 –0.124 –0.058 –0.034 0.013 0.012 0.015
Hedge Return 0.149 0.051 0.039 0.016 0.021 0.025
55
Table 7 (continued) Time-series means and standard errors of equally weighted portfolio size-adjusted returns, with the lowest portfolio having the smallest accruals. The hedge return is the mean return to a portfolio that invests long in firms in the lowest accrual portfolio and short in firms in the highest accrual portfolio. Sample of 24,343 firm-years from 1981 to 1996, full sample
and subsamples based on analyst activity.
Panel B: Active and Inactive Analyst Subsamples Accrual Portfolio # Obs Rt+1 Rt+2 Rt+3 Std Errt+1 Std Errt+2 Std Errt+3
Inactive Analysts
Low 1,939 0.007 –0.008 0.007 0.025 0.024 0.024 2 1,931 0.011 0.013 0.012 0.021 0.017 0.016 3 1,968 0.001 0.005 –0.006 0.021 0.018 0.013 4 1,894 –0.003 0.013 0.007 0.016 0.018 0.013 5 1,910 –0.006 0.008 0.003 0.014 0.013 0.015 6 1,943 –0.014 0.002 –0.004 0.018 0.015 0.013 7 1,931 –0.016 0.003 –0.007 0.014 0.016 0.015 8 1,717 –0.029 –0.003 –0.012 0.014 0.020 0.010 9 1,582 –0.041 –0.011 0.001 0.023 0.019 0.016
High 1,621 –0.106 –0.054 –0.053 0.015 0.012 0.021
Hedge Return 0.113 0.046 0.060 0.018 0.023 0.030
Active Analysts Low 487 0.114 0.007 0.006 0.031 0.031 0.031
2 506 0.041 0.042 –0.009 0.026 0.035 0.032 3 468 0.021 –0.001 –0.039 0.021 0.038 0.020 4 541 0.007 0.016 –0.046 0.029 0.023 0.020 5 525 0.040 –0.024 0.005 0.023 0.014 0.023 6 495 0.017 –0.027 –0.003 0.026 0.024 0.015 7 505 0.009 0.034 –0.042 0.022 0.027 0.023 8 718 –0.036 –0.030 0.002 0.028 0.016 0.017 9 856 –0.080 –0.019 –0.047 0.022 0.030 0.024
High 806 –0.158 –0.067 0.005 0.020 0.017 0.020
Hedge Return 0.272 0.075 0.001 0.034 0.020 0.042
p-values for difference in hedge portfolio returns: 0.001 0.361 0.267
56
Portfolios are formed annually by assigning firms into deciles based on the magnitude of accruals in year t. The reported means and standard errors are based on the time-series of the annual portfolio size-adjusted stock returns. R = Annual size-adjusted returns from the beginning of the fourth month after the fiscal year to the end of the fifteenth month after the fiscal year. Returns are the firm’s return minus the mean return for the firm’s size decile, based on market value of equity at the beginning of the year. Accrual Portfolio is the accrual portfolio in year t. Lowest accruals in portfolio 1; Highest accruals in portfolio 10, where Accruals = (∆CA – ∆CASH) – (∆CL – ∆STD) – DEP, where ∆CA = change in current assets, ∆CASH = change in cash/cash equivalents, ∆CL = change in current liabilities, ∆STD = change in debt included in current liabilities, and DEP = depreciation and amortization expense, all scaled by average total assets. An observation is in the active analyst subsample when the mean consensus analyst forecast for year t + 1 is revised at the year t earnings announcement in the direction implied by a reversal of year t accruals; otherwise the observation is in the inactive analyst subsample.
57
Table 8 Time-series means and standard errors of equally weighted portfolio size-adjusted
announcement period returns, with the lowest portfolio having the smallest accruals. The hedge return is the mean return to a portfolio that invests long in firms in the lowest
accrual portfolio and short in firms in the highest accrual portfolio. Sample of 24,343 firm-years from 1981 to 1996, full sample and subsamples based on analyst activity.
Panel A: Full Sample
Accrual Portfolio # Obs APRt+1 APRt+2 APRt+3 Std Errt+1 Std Errt+2 Std Errt+3
Low 2,115 0.021 0.035 0.017 0.009 0.009 0.008
2 2,136 0.022 0.028 0.024 0.006 0.008 0.008 3 2,184 0.015 0.022 0.012 0.004 0.005 0.005 4 2,222 0.015 0.021 0.012 0.004 0.005 0.004 5 2,205 0.018 0.010 0.015 0.004 0.005 0.006 6 2,186 0.022 0.008 0.021 0.004 0.005 0.005 7 2,159 0.020 0.017 0.015 0.005 0.004 0.004 8 2,111 0.011 0.002 0.007 0.007 0.005 0.005 9 2,121 0.024 –0.008 0.020 0.006 0.005 0.005
High 1,960 0.025 –0.005 0.026 0.006 0.006 0.009
Hedge Return –0.004 0.039 –0.010 0.009 0.011 0.012
58
Table 8 (continued) Time-series means and standard errors of equally weighted portfolio size-adjusted
announcement period returns, with the lowest portfolio having the smallest accruals. The hedge return is the mean return to a portfolio that invests long in firms in the lowest
accrual portfolio and short in firms in the highest accrual portfolio. Sample of 24,343 firm-years from 1981 to 1996, full sample and subsamples based on analyst activity.
Panel B: Active and Inactive Analyst Subsamples
Accrual Portfolio # Obs APRt+1 APRt+2 APRt+3 Std Errt+1 Std Errt+2 Std Errt+3
Inactive Analysts
Low 1,678 0.003 0.031 0.011 0.009 0.009 0.010 2 1,680 0.010 0.024 0.026 0.006 0.007 0.008 3 1,750 0.003 0.023 0.017 0.004 0.005 0.006 4 1,716 0.004 0.016 0.013 0.004 0.003 0.005 5 1,720 0.006 0.008 0.014 0.004 0.006 0.005 6 1,732 0.012 0.004 0.022 0.004 0.006 0.005 7 1,697 0.015 0.015 0.019 0.007 0.005 0.004 8 1,458 0.021 0.005 0.010 0.009 0.005 0.006 9 1,358 0.042 –0.010 0.025 0.008 0.010 0.006
High 1,268 0.059 0.004 0.029 0.008 0.009 0.009
Hedge Return –0.057 0.027 –0.018 0.010 0.014 0.015
Active Analysts Low 437 0.100 0.050 0.038 0.019 0.016 0.013
2 456 0.062 0.039 0.019 0.011 0.015 0.013 3 434 0.063 0.017 –0.006 0.009 0.008 0.011 4 506 0.057 0.036 0.014 0.010 0.015 0.007 5 485 0.057 0.022 0.026 0.010 0.010 0.016 6 454 0.058 0.021 0.017 0.010 0.008 0.008 7 462 0.046 0.038 0.000 0.008 0.014 0.011 8 653 –0.002 –0.001 0.006 0.012 0.009 0.009 9 763 –0.009 –0.008 0.010 0.011 0.013 0.010
High 692 –0.035 –0.019 0.025 0.006 0.010 0.014
Hedge Return 0.135 0.068 0.013 0.019 0.018 0.012
p-values for difference in hedge portfolio returns: <0.001 0.079 0.116
59
Portfolios are formed annually by assigning firms into deciles based on the magnitude of accruals in year t. The reported means and standard errors are based on the time-series of the annual portfolio size-adjusted stock returns. APRt = Announcement period returns, the cumulative returns over the four fourteen-day periods (–11 to +2) around each of the earnings announcements in the fiscal years following the portfolio formation year, year t. Announcement period returns are available for 21,399 observations. Accrual Portfolio is the accrual portfolio in year t. Lowest accruals in portfolio 1; highest accruals in portfolio 10, where Accruals = (∆CA – ∆CASH) – (∆CL – ∆STD) – DEP, where ∆CA = change in current assets, ∆CASH = change in cash/cash equivalents, ∆CL = change in current liabilities, ∆STD = change in debt included in current liabilities, and DEP = depreciation and amortization expense, all scaled by average total assets. An observation is in the active analyst subsample when the mean consensus analyst forecast for year t + 1 is revised at the year t earnings announcement in the direction implied by a reversal of year t accruals; otherwise the observation is in the inactive analyst subsample.
Tab
le 9
Su
mm
ary
stat
isti
cs f
rom
reg
ress
ions
of
futu
re a
nnua
l siz
e-ad
just
ed r
etur
ns o
n th
e po
rtfo
lio r
anks
of
accr
uals
and
oth
er
pred
icto
rs o
f re
turn
s. S
ampl
e of
24,
343
firm
-yea
rs f
rom
198
1 to
199
6, f
ull s
ampl
e an
d su
bsam
ples
bas
ed o
n an
alys
t ac
tivi
ty.
Tim
e-se
ries
mea
ns a
nd s
tand
ard
erro
rs o
f co
effi
cien
t es
tim
ates
fro
m a
nnua
l reg
ress
ions
.
Pan
el A
: i
tt
At
tA
it
vls
Act
RA
ccru
aR
Acc
rual
sA
ctiv
eR
++
++
++
=1
10
0δ
δδ
δ
R
t+1
R
t+2
R
t+3
Var
iabl
es
Pre
d M
ean
Std
Err
M
ean
Std
Err
Mea
n St
d E
rr
Mea
n St
d E
rr
M
ean
Std
Err
M
ean
Std
Err
Inte
rcep
t ?
0.03
8 0.
017
0.02
2 0.
018
0.
016
0.01
6 0.
015
0.01
7
0.00
7 0.
015
0.01
4 0.
015
Act
ive
?
0.
081
0.01
7
0.00
9 0.
016
–0
.028
0.
018
RA
ccru
als
– –0
.112
0.
014
–0.0
82
0.01
8
–0.0
43
0.01
5 –0
.035
0.
019
–0
.030
0.
017
–0.0
37
0.01
6 A
ctR
Acc
rual
s ?
–0.1
30
0.03
3
–0.0
31
0.02
6
0.03
2 0.
025
Adj
R2
0.
008
0.
011
0.00
2
0.00
2
0.
002
0.
003
61
Tab
le 9
(co
ntin
ued)
Su
mm
ary
stat
isti
cs f
rom
cro
ss-s
ecti
onal
reg
ress
ions
of f
utur
e an
nual
siz
e-ad
just
ed r
etur
ns o
n th
e po
rtfo
lio r
anks
of
accr
uals
an
d ot
her
pred
icto
rs o
f re
turn
s. S
ampl
e of
24,
343
firm
-yea
rs f
rom
198
1 to
199
6, f
ull s
ampl
e an
d su
bsam
ples
bas
ed o
n an
alys
t ac
tivi
ty.
Tim
e-se
ries
mea
ns a
nd s
tand
ard
erro
rs o
f co
effi
cien
t es
tim
ates
fro
m a
nnua
l reg
ress
ions
.
Pan
el B
: i
tt
tt
tt
tA
tt
Ai
tz
VO
LB
eta
EP
BM
lnM
Vln
lsA
ctR
Acc
rua
RA
ccru
als
Act
ive
R+
++
++
++
++
++
=5
54
32
11
00
δδ
δδ
δδ
δδ
δ
R
t+1
R
t+2
R
t+3
Var
iabl
es
Pre
d M
ean
Std
Err
M
ean
Std
Err
Mea
n St
d E
rr
Mea
n St
d E
rr
M
ean
Std
Err
M
ean
Std
Err
In
terc
ept
? –0
.016
0.
026
–0.0
26
0.02
6
–0.0
42
0.03
0 –0
.041
0.
029
–0
.045
0.
027
–0.0
39
0.02
8 A
ctiv
e ?
0.05
9 0.
017
–0
.012
0.
016
–0
.033
0.
019
RA
ccru
als
– –0
.121
0.
014
–0.1
01
0.01
8
–0.0
45
0.01
4 –0
.047
0.
016
–0
.025
0.
017
–0.0
31
0.01
8 A
ctR
Acc
rual
s ?
–0.0
88
0.03
2
0.00
6 0.
025
0.
030
0.03
2 ln
MV
–
–0.1
77
0.02
3 –0
.180
0.
024
–0
.168
0.
028
–0.1
66
0.02
8
–0.1
47
0.03
3 –0
.146
0.
033
lnB
M
+
–0.0
18
0.02
4 –0
.018
0.
024
0.
005
0.02
2 0.
005
0.02
1
0.01
5 0.
028
0.01
4 0.
027
EP
+
0.
322
0.03
0 0.
320
0.02
9
0.28
1 0.
035
0.28
1 0.
036
0.
240
0.03
9 0.
240
0.04
0 B
eta
ns
–0.0
34
0.02
7 –0
.034
0.
027
–0
.035
0.
029
–0.0
33
0.02
9
–0.0
34
0.03
0 –0
.034
0.
030
VO
L
ns
0.02
8 0.
024
0.02
7 0.
024
0.
030
0.01
7 0.
031
0.01
6
0.02
3 0.
018
0.02
6 0.
017
A
dj R
2
0.05
7
0.05
9
0.
043
0.
043
0.04
0
0.04
2
T
here
are
16,
15,
and
14
annu
al r
egre
ssio
ns f
or th
e eq
uatio
n w
ith R
t+1,
Rt+
2, o
r R
t+3
as th
e de
pend
ent v
aria
ble.
R
= A
nnua
l siz
e-ad
just
ed r
etur
ns f
rom
the
begi
nnin
g of
the
four
th m
onth
aft
er th
e fi
scal
yea
r to
the
end
of th
e fi
ftee
nth
mon
th a
fter
the
fisc
al y
ear.
Ret
urns
are
the
firm
’s r
etur
n m
inus
the
mea
n re
turn
for
the
firm
’s s
ize
deci
le, b
ased
on
mar
ket v
alue
of
equi
ty a
t the
be
ginn
ing
of th
e ye
ar.
A
ccru
als
= (
∆CA
– ∆
CA
SH)
– (∆
CL
– ∆
STD
) –
DE
P, w
here
∆C
A =
cha
nge
in c
urre
nt a
sset
s, ∆
CA
SH =
cha
nge
in c
ash/
cash
eq
uiva
lent
s, ∆
CL
= c
hang
e in
cur
rent
liab
ilit
ies,
∆ST
D =
cha
nge
in d
ebt i
nclu
ded
in c
urre
nt li
abili
ties,
and
DE
P =
dep
reci
atio
n an
d am
orti
zati
on e
xpen
se, a
ll sc
aled
by
aver
age
tota
l ass
ets.
RA
ccru
als
is th
e ra
nk o
f th
e ac
crua
l por
tfol
io in
yea
r t,
scal
ed to
be
betw
een
0 an
d 1.
A
ctiv
e is
an
indi
cato
r va
riab
le w
hich
equ
als
1 w
hen
the
mea
n co
nsen
sus
anal
yst f
orec
ast f
or y
ear
t + 1
is r
evis
ed a
t yea
r t e
arni
ngs
anno
unce
men
t in
the
dire
ctio
n im
plie
d by
a r
ever
sal o
f ye
ar t
accr
uals
, and
0 o
ther
wis
e.
62
Act
RA
ccru
als
= A
ctiv
e ×
RA
ccru
als.
ln
MV
= n
atur
al lo
gari
thm
of
the
mar
ket v
alue
of
equi
ty.
ln
BM
= n
atur
al lo
gari
thm
of
the
book
-to-
mar
ket r
atio
.
EP
= th
e ea
rnin
gs-t
o-pr
ice
ratio
.
Bet
a =
bet
a ob
tain
ed f
rom
CR
SP.
V
OL
= a
nnua
l tra
ding
vol
ume
divi
ded
by s
hare
s ou
tsta
ndin
g.
63
Tab
le 1
0 R
atio
s of
mar
ket
perc
epti
on o
f pe
rsis
tenc
e pa
ram
eter
s to
act
ual p
aram
eter
s an
d p-
valu
es f
rom
Mis
hkin
tes
ts o
f eq
ualit
y of
pe
rcei
ved
and
actu
al p
aram
eter
s. S
ampl
e of
24,
343
firm
-yea
rs f
rom
198
1 to
199
6, f
ull s
ampl
e an
d su
bsam
ples
bas
ed o
n an
alys
t ac
tivi
ty.
12
10
+
++
++
=t
tt
it
Flo
ws
Cas
hA
ccru
als
Ear
nυ
γγ
γ
it
tt
it
it
zF
low
sC
ash
Acc
rual
sE
arn
R+
++
+−
−−
+=
]
[* 2
* 10
10
γγ
γδ
δ
Full
sam
ple
In
activ
e A
naly
sts
A
ctiv
e A
naly
sts
R
t+1
Rt+
2 R
t+3
R
t+1
Rt+
2 R
t+3
R
t+1
Rt+
2 R
t+3
γ 1*
0.79
4 0.
586
0.47
2
0.81
5 0.
621
0.51
0
0.75
6 0.
475
0.36
4
γ 1
0.69
2 0.
505
0.39
7
0.76
3 0.
553
0.44
1
0.48
6 0.
373
0.28
2
Rat
io: γ
1* to
γ 1
1.15
1.
16
1.19
1.07
1.
12
1.16
1.55
1.
28
1.29
γ 2*
0.72
8 0.
579
0.54
2
0.73
3 0.
571
0.53
2
0.70
8 0.
585
0.54
9
γ 2
0.78
7 0.
614
0.51
6
0.79
3 0.
622
0.53
3
0.74
3 0.
577
0.45
9
Rat
io: γ
2* to
γ 2
0.93
0.
94
1.05
0.93
0.
92
1.00
0.95
1.
01
1.19
p-
valu
es f
or te
st o
f m
arke
t eff
icie
ncy:
γ 1*
= γ 1
0.
000
0.02
4 0.
076
0.
028
0.09
2 0.
161
0.
000
0.18
8 0.
328
γ 2
* =
γ 2
0.00
1 0.
221
0.41
4
0.00
2 0.
103
0.98
3
0.36
2 0.
895
0.15
9
γ 1*
= γ 1
and
γ 2*
= γ 2
0.
000
0.00
1 0.
201
0.
000
0.00
2 0.
239
0.
000
0.26
5 0.
370
64
Ear
n =
ear
ning
s fr
om c
ontin
uing
ope
ratio
ns a
fter
dep
reci
atio
n, s
cale
d by
ave
rage
tota
l ass
ets.
C
ashF
low
s =
Ear
n –
Acc
rual
s.
Acc
rual
s =
(∆C
A –
∆C
ASH
) –
(∆C
L –
∆ST
D)
– D
EP
, whe
re ∆
CA
= c
hang
e in
cur
rent
ass
ets,
∆C
ASH
= c
hang
e in
cas
h/ca
sh
equi
vale
nts,
∆C
L =
cha
nge
in c
urre
nt li
abil
itie
s, ∆
STD
= c
hang
e in
deb
t inc
lude
d in
cur
rent
liab
ilitie
s, a
nd D
EP
= d
epre
ciat
ion
and
amor
tiza
tion
exp
ense
, all
scal
ed b
y av
erag
e to
tal a
sset
s.
R =
Ann
ual s
ize-
adju
sted
ret
urns
fro
m th
e be
ginn
ing
of th
e fo
urth
mon
th a
fter
the
fisc
al y
ear
to th
e en
d of
the
fift
eent
h m
onth
aft
er th
e fi
scal
yea
r. R
etur
ns a
re th
e fi
rm’s
ret
urn
min
us th
e m
ean
retu
rn f
or th
e fi
rm’s
siz
e de
cile
, bas
ed o
n m
arke
t val
ue o
f eq
uity
at t
he
begi
nnin
g of
the
year
.