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Monitoring Mechanism, Overvaluation, and Earnings Management
Shing-yang Hu* and Yueh-hsiang Lin
†
Abstract
Prior research suggests that overvalued equity can exert market pressures on managers to inflate
earnings. However, we posit that in a well-functioning capital market, external and internal
monitoring mechanisms can deter such behaviors. Using U.S. data from 1987 to 2005, we test
the market pressure hypothesis against the monitoring hypothesis. Consistent with the
monitoring hypothesis, we find no statistical relation between the degree of overvaluation and
future accruals or real earnings management for highly monitored firms, such as large companies,
S&P 1500 companies, or companies followed by analysts. The market pressure hypothesis holds
only when monitoring is weak.
JEL Classification: G10, G34, M40, M52
Keywords: Accrual, Earnings management, Market pressure, Overvaluation, Monitoring
* Department of Finance, National Taiwan University, Room 715, No. 85, Sec. 4, Roosevelt Road, Taipei, Taiwan
106. Telephone: +886-2-33661085; Fax: +886-2-23661299; E-mail address: [email protected] † Department of Finance, National Taipei College of Business, Room 833, No.321, Sec. 1, Jinan Rd., Zhongzheng
District, Taipei, Taiwan, 100. Telephone: +886-2-23226469; Fax: +886-2-23226378; E-mail address:
Optimistic visions of a new economic era set the stage for an explosion in financial
values. . . . It was an environment in which incentives for business management to keep
reported revenues and earnings growing to meet expectations were amplified.
– Paul A. Volcker, ―Finally, A Time for Auditing Reform,‖ June 25, 2002,
Remarks at the Conference on Credible Financial Disclosures,
Kellogg School of Management, Northwestern University
1. Introduction
The literature has clearly established that corporate decisions can be driven by market
value. When equity is overvalued, companies are more likely to make more investments (Baker,
Stein, and Wurgler, 2003; Polk and Sapienza, 2009; Stein, 1996), conduct more mergers and
acquisitions (e.g., Dong et al., 2006; Rhodes-Kropf, Robinson, and Viswanathan, 2005; Shleifer
and Vishny, 2003), offer more securities and pay more dividends (Baker and Wurgler, 2000,
2002, 2004), and use more accruals (Chi and Gupta, 2009). In addition, many of these
researchers also show that these decisions are followed by lower stock returns, suggesting that
they are not beneficial to investors. In fact, Jensen (2005) argued that the agency costs of
overvalued equity set into motion a series of value-destroying forces that can undermine core
firm value. Although the literature widely agrees on the problem, the solution remains an open
question. That is, researchers have yet to fully address whether any existing monitoring
mechanisms can deter managers' value-destruction behaviors. To investigate this question, we
examine the relation between overvaluation and earnings management decisions.
Earnings management is an important component of corporate decision making.
Supporting Volcker’s (2002) claim, Graham, Harvey, and Rajgopal (2005) find that executives
manage earnings to meet outsiders’ expectations of future earnings. Anecdotal evidence (e.g.,
Enron) also suggests that companies inflate their earnings when the market expectation becomes
2
excessive. However, certain monitoring mechanisms can prevent managers from inflating the
earnings. Therefore, we investigate the relation among degree of monitoring, market
overvaluation, and earnings management. We consider two hypotheses regarding the impact of
overvaluation on earnings management: the market pressure hypothesis and the monitoring
hypothesis.
The market pressure hypothesis, drawn from Jensen’s (2005) agency theory of
overvalued equity, suggests that when investors irrationally overvalue a firm, they anticipate a
growth rate of cash flows higher than what the firm can realistically achieve. As a consequence,
managers may engage in earnings management to generate earnings reports that satisfy these
investors as well as justify the firm’s overvalued market price. Therefore, under the market
pressure hypothesis, the extent of earnings management is expected to be higher for firms with
higher overvaluations.
The monitoring hypothesis acknowledges the impact of market pressure but emphasizes
the effectiveness of monitoring from either external information intermediaries or internal
corporate governance mechanisms. External intermediaries, such as analysts and rating agencies,
regularly track financial statements and interact with managers. Under constant monitoring,
inflated earnings through management are likely to be detected and, therefore, unlikely to affect
stock prices. In organizations in which internal governance mechanisms are in place, managers
may pay a high price if their management of earnings is revealed. That is, the board may
terminate their employment (Karpoff, Lee, and Martin, 2008a), and the reputation of the
company may be harmed, resulting in a drop in the market price (Karpoff, Lee, and Martin,
2008b) and, consequently, a drop in the value of any shares or options held by the manager.
Managers will, therefore, resist managing earnings even when faced with overvaluation if
3
sufficient monitoring is in place. Thus, according to the monitoring hypothesis, the extent of
earnings management is not affected by market overvaluation.
In this study, we measure the degree of market overvaluation by using the ratio of the
market value of equity to its fundamental value. The fundamental value can be estimated by
following either Rhodes-Kropf et al.’s (2005) regression approach or the discounted residual
income approach (Frankel and Lee, 1998; Ohlson, 1990). The advantage of the residual income
approach is that it based on a valuation model and uses analysts’ forecasts. The drawback is that
the requirement of analysts’ forecasts data biases our results against the market pressure
hypothesis. When analysts follow a company, they play a monitoring role by scrutinizing the
firm’s financial statements. As a result, managers are less likely to manage earnings, and we are
less likely to find evidence supporting the market pressure hypothesis. In contrast, the
Rhodes-Kropf et al.’s regression approach only uses information from financial statements and
can be applied to the entire sample. Therefore, we use the regression approach for the whole
sample and compare results from both approaches for the subsample that includes analysts’
forecasted data.
We measure the extent of earnings management by using performance-matched
discretionary accruals (Kothari, Leone, and Wasley, 2005). Using firms listed on the NYSE,
Amex, and Nasdaq from 1987 to 2005 as our sample, we find no significant difference in
discretionary accruals between high-overvalued and low-overvalued companies. Therefore, on
average, we find stronger support for the monitoring hypothesis than for the market pressure
hypothesis.
We then examine cross-sectional differences, which provide further evidence for the
monitoring hypothesis. High-profile firms that receive more attention from outsiders such as
4
analysts, the media, and investors tend to have a more symmetric information environment,
which increases the likelihood that earnings management will be discovered. Therefore, even
with overvaluation, managers will not chance earnings management. Consistent with the outside
monitoring hypothesis, we find no relation between market overvaluation and future accruals for
large firms or firms included in the S&P 1500 index in the Investor Responsibility Research
Center (IRRC) database or in the I/B/E/S database. By contrast, firms receiving less attention
from the financial community (i.e., small firms and firms not included in the S&P 1500 index or
the IRRC or I/B/E/S databases) exhibit a significantly positive relation between overvaluation
and accruals.
For firms receiving less attention from the financial community, market pressure is
related to their operating performance and their dependence on equity financing. When an
overvalued company has poor operating performance, its managers face much greater pressure
to improve performance and are more likely to engage in earnings management than managers
of better performing companies. Furthermore, when overvalued companies are highly dependent
on the equity market, managers are more likely to engage in earnings management to support the
market price to preserve their financing channel. Consistent with both predictions, we find a
strongly positive relation between market valuation and future accruals for firms with poor
operating performances and with a high degree of equity dependence but only for the sample of
non-S&P or non-I/B/E/S companies.
In addition to accruals, we also examine three measures of earnings management through
real activities (Cohen, Dey, and Lys, 2008; Cohen and Zarowin, 2010; Roychowdhury, 2006).
Our results are similar to accruals. Consistent with the market pressure hypothesis, we find no
relation between market overvaluation and future real earnings management for firms included
5
in the S&P 1500 index. We also find some weak evidence to support the market pressure
hypothesis.
Overall, this study adds to the line of research that examines how corporate decisions are
affected by overvaluation. In particular, in the investigation of the relation between
overvaluation and earnings management, our paper is closest to Efendi, Srivastava, and Swanson
(2007) and Chi and Gupta (2009). Efendi et al. use the Internet bubble as a period of
overvaluation and find that a restatement is more likely when the CEO has a sizeable holdings of
stock options. Chi and Gupta find a positive relation between overvaluation and accruals.
Neither paper discusses deterrents to the agency cost of overvaluation. Jensen (2005) discusses
many possible solutions to the agency cost associated with overvaluation (e.g., governance
mechanisms, short selling) but argues that they are ineffective. The first and the foremost
contribution of our paper is to propose the monitoring hypothesis and provide supporting
evidence that monitoring is an effective tool to limit earnings management. Specifically, we find
no significant relation between overvaluation and accruals for firms that receive more attention
from investment communities. Our second contribution is to examine the cross-sectional
implication of the market pressure hypothesis. For firms that receive less attention and
monitoring, we provide evidence that overvalued companies that are performing poorly or have
financing needs have a stronger tendency to conduct earnings management through either
accruals or real activities.
The remainder of the paper is organized as follows. Section 2 analyzes the relation
between the degree of market overvaluation and the subsequent accruals. In Section 3, we
further test the monitoring and the market pressure hypotheses by examining specific firm
characteristics. Section 4 provides robustness tests, and Section 5 concludes our findings.
6
2. A first look at the relation between market overvaluation and subsequent earnings
management
Our sample includes firms that are listed on the NYSE, Amex, and Nasdaq and included
in the COMPUSTAT and CRSP databases from 1987 through 2005. Financial companies (SIC
codes 6000–6999) are excluded. As we note in the following discussion, our results are mainly
based on accruals estimated from cash flow statements; therefore, we begin our sample period in
1987, the year that COMPUSTAT began to report cash flow data.
We use the ratio of market value of equity to its fundamental value (hereinafter M/V) as
the proxy for the degree of market overvaluation. Theoretically, a firm may be priced high due to
either the rational expectation of higher growth opportunities or investors’ irrational
overvaluation. The M/V measures the discrepancy between market valuation and fundamental
value and reflects the degree of overvaluation. To estimate the fundamental value, we follow
Rhodes-Kropf et al. (2005) by first estimating the following regression for each of the 12 Fama
and French industries for each year t:3
0 1 2 3 ( 0) 4ln( ) ln( ) ln( ) ln( )it jt jt it jt it jt NI it jt it itM B NI I NI Lev
, (1)
where ln(‧) is the natural logarithmic function, the subscript i indicates firm i, j indicates
industry j, M is the CRSP market value of equity at the end of the fiscal year, B is the
COMPUSTAT book value of equity for the fiscal year (COMPUSTAT annual data item 60), NI+
is the absolute value of the reported net income (item 172), I(NI<0) is an indicator function that
equals 1 when net income is negative and zero otherwise, and Lev is the book leverage (1 – book
3 The authors thank Kenneth French for providing data on the 12 Fama and French industry classifications on his
website (http://mba.tuck.dartmouth.edu/pages/faculty/ken.french).
7
value of equity/total assets).4 We then average over time for each parameter α,
j
T
t jtT
1ˆ
1. (2)
The estimated fundamental value (V) is the natural exponent of the fitted value:
0 1 2 3 ( 0) 4ln( ) ln( ) ln( ) ln( )it j j it j it j NI it j itV B NI I NI Lev
. (3)
To estimate the extent of earnings management, we first calculate total accruals (Ac)
from items on the statement of cash flow:
1,
/)(
ttttCF
AssetsOCFNIAc , (4)
where the subscript CF indicates that the accruals are computed from items on the cash flow
statement and the subscript t indicates the year; OCF is the total cash flow from operations (item
308); and Assets is the total assets (item 6). To reduce the impact of extreme values, we delete
any total accruals with an absolute value greater than 1 and winsorize the total accruals at the 1st
and 99th percentiles.
An alternative method to calculate total accruals in previous studies is to use items on the
balance sheet.5 However, the literature (Collins and Hribar, 2002; Kraft, Leone, and Wasley,
2006) suggests that accruals estimated from the balance sheet can be biased. In our sample, we
4 Although the market-to-book value of equity is commonly obtained by matching the book value of equity with
the market value four months after the fiscal year, we use the fiscal year-end data to ensure that the market value is
predetermined for the first quarter of the next year’s accounting results.
5 Accruals estimated from balance sheet are calculated as the one-year change of the current assets unrelated to
cash (item 4 – item 1) minus the one-year change of the current liability excluding short-term debt and taxes
payable (item 34 – item 5 – item 71) and the depreciation and amortization expense (item 14), and then scaled by
lagged total assets.
8
find that the estimates of total accruals from cash flow statements and balance sheets are quite
different. Specifically, as Table 1 shows, the median (mean) of the total accruals is –0.0520
(–0.0555) based on cash flows statements (AcCF) and –0.0395 (–0.0306) based on balance sheets
(AcBS).
<< INSERT TABLE 1 ABOUT HERE>>
More relevant to our study is that the bias of accruals estimated from balance sheets is
correlated with market overvaluations. In the first column of Panel A in Table 2, for each year t
from 1987 to 2004, we sort M/V into quartiles. For the lowest M/V quartile in the first column,
the averages are –0.0728 for total accruals (in year t+1) estimated from the cash flow statements
and –0.0533 for total accruals estimated from balance sheets—a difference of 0.0195. In the
second column, the difference is even larger (0.0288) for the highest M/V. The correlation
between bias and overvaluation could be due to correlations between bias and merger and
acquisition (M&A) activities and between overvaluation and M&A. Recent studies have found
that M&A are more intense in higher market valuation periods (Moeller, Schlingemann, and
Stulz, 2005). To account for this bias, we use COMPUSTAT Annual footnote 1 to identify
acquisition activity (codes AA). At the year of M/V groups formation, the percentage of
acquisitions is 12.56% (20.35%) for the lowest (highest) M/V quartile. When one firm acquires
another, balance sheets are combined, and the combined net current assets (current assets minus
current liabilities) become greater than the net current assets before the combination (Collins and
Hribar, 2002). Therefore, the accruals estimated from the balance sheet are upwardly biased
from acquisitions. To eliminate this bias and avoid wrong inferences, most of our results are
9
based on accruals estimated from cash flow statements. However, in the regression analysis of
Section 4, we also report results based on accruals estimated from the balance sheet and get
similar results.
<< INSERT TABLE 2 ABOUT HERE>>
To concentrate on the effect of market overvaluation to earnings management, we filter
out the effect of the firms’ expected growth on accruals. When managers have higher
expectations of future earnings, they increase working capital to serve growth needs. Therefore,
accruals are an indicator of the firms’ expected growth (Chan, Chan, Jegadeesh, and Lakonishok,
2006).
We first estimate four widely used discretionary accruals models: (i) the Jones (1991)
model, (ii) the modified Jones model (Dechow, Sloan, and Sweeney, 1995), (iii) the CFO model
(Dechow, Kothari, and Watts, 1998), and (iv) the DD model (Dechow and Dichev, 2002). We
run cross-sectional regressions for all firms in our sample for each year and each two-digit SIC
code industry as follows:
, ,
, 0 1 2 3 ,
, 1 , 1 , 1
1[ ] [ ] [ ]
i t i t
i t i t
i t i t i t
Sales PPEAc
Assets Assets Assets
; (5)
, , ,
, 0 1 2 3 ,
, 1 , 1 , 1
1[ ] [ ]
i t i t i t
i t i t
i t i t i t
Sales AR PPEAc
Assets Assets Assets
; (6)
, , ,
, 0 1 2 3 4 ,
, 1 , 1 , 1 , 1
1[ ] [ ] [ ] [ ]
i t i t i t
i t i t
i t i t i t i t
Sales PPE CFOAc
Assets Assets Assets Assets
; (7)
, , , , 1
, 0 1 2 3 4 5
, 1 , 1 , 1 , 1 , 1
1[ ] [ ] [ ] [ ] [ ]
i t i t i t i t
i t
i t i t i t i t i t
Sales PPE CFO CFOAc
Assets Assets Assets Assets Assets
10
, 1
6 ,
, 1
[ ]i t
i t
i t
CFO
Assets
, (8)
where the subscript i indicates firm i, ΔSales is the change in sales (item 12), PPE is net
property, plant and equipment (item 8), ΔAR is the change in accounts receivable (item 2), and
CFO is cash from operations (item 18 – AcBS). Following Kothari et al. (2005), we require a
minimum of ten observations and include a constant for each cross-sectional regression. The
fitted values from these regressions are the nondiscretionary accruals. The residuals in equations
(5) to (8) are the discretionary accruals, JACF (estimated from the Jones model), MJACF
(estimated from the modified Jones model), CFOACF (estimated from the CFO model), and
DDACF (estimated from the DD model).
Second, we estimate performance-matched discretionary accrual. Because discretionary
accruals are not well specified for firms with extreme operating performance (Dechow et al.,
1995; Kothari et al., 2005), we use a matching-firm approach to further remove the portion of
accruals that are operations related. Specifically, for each sample firm in the highest and lowest
M/V quartiles, we choose as a matching firm that has the closest return on assets (ROA;
measured as net income divided by lagged total assets) in year t+1 from all observations in the
second and third quartiles that have the same two-digit SIC code as the sample firm. Using
middle quartiles to choose the matching firms ensures that the matching firms are similar to the
sample firms in operating performance but different in market overvaluations. We then subtract
the matching firm’s discretionary accruals from the sample firm’s discretionary accruals to
obtain the performance-matched accruals.
To test the market pressure against the monitoring hypotheses, we examine the relation
between future accruals and M/V. Recall that the market pressure hypothesis predicts a positive
relation between M/V and future accruals, and the monitoring hypothesis predicts that
11
subsequent accruals will be independent of M/V. In the sorting of all observations on M/V in
year t into quartiles, we test the difference in the mean of accruals in year t+1 between the
extreme M/V quartiles, as shown in Table 2. At first glance, as the third column of Panel B
shows, firms in the highest M/V quartile have higher discretionary accruals than those in the
lowest quartile. The mean of the DD (Dechow and Dichev, 2002) discretionary accruals is
0.0011 for the highest quartile and 0.0072 and for the lowest quartile. The difference of 0.0062 is
significant at a 0.01 level. The results are consistent with findings in Chi and Gupta (2009).
However, the significance diminishes after controlling for ROA. For the ROA-matched
discretionary accruals from the DD model, the difference between the highest and the lowest
M/V quartiles is only 0.0027 and not significantly different from zero at the 0.10 level.
Therefore, as Kothari et al. (2005) suggest, controlling for operating performance is important
for studies on accruals. The relation between M/V and future accruals is fairly weak, which is
more consistent with the monitoring hypothesis than the market pressure hypothesis.
3. A closer look: The market pressure hypothesis and the monitoring hypothesis
In our previous discussion, we observe a weak relation between future discretionary
accruals and M/V. This result generally supports the monitoring hypothesis but not the market
pressure hypothesis. However, given overvaluation, not every firm is subject to the same
incentive to manipulate earnings. Managers with strong incentives are more likely to manage
earnings than managers with little or no incentives. On the other hand, the weak relation
between M/V and future accruals may also be a result of a low monitoring threshold within a
firm. To put these arguments into perspective, we examine several firm traits that may increase
market pressures or monitoring activities.
12
3.1. Firm traits that affect the level of external monitoring
We examine two firm traits that may lead to differences in monitoring intensities on
overvalued companies: (1) The extent of external monitoring, and (2) the soundness of the
governance system. Earnings management is directly related to external monitoring. When the
investment community pays little attention to a firm, a poor information environment develops,
and investors are unable to differentiate between actual earnings and inflated earnings.
Conversely, when firms are well-researched by the investment community, earnings inflated by
accruals will be filtered by well-informed analysts and, therefore, are unlikely to affect stock
prices. Consequently, overvalued companies that receive more attention from the investment
community will be less inclined to manipulate their earnings.
Because security analysis involves a large component of fixed cost, potential revenues
are low, and liquidity is poor for smaller firms, we use firm size as our first measure of the level
of monitoring, and find a positive correlation between M/V and firm size. Panel A in Table 3
reports the frequency distribution of firm size within extreme M/V portfolios. For the highest
(lowest) M/V quartile, 48% (58%) of observations are from the largest (smallest) size quartile.
Therefore, if we fail to control for size, the average accruals of the high M/V quartile will mainly
reflect numbers from large firms and make it difficult for us to uncover relations between M/V
and accruals under the monitoring hypothesis.
<< INSERT TABLE 3 ABOUT HERE>>
We adopt a bivariate grouping method to examine whether overvalued companies are
13
more likely to engage in earnings management after controlling for size. In particular, we use a
two-way independent sorting method based on M/V and size at the end of year t. Because results
for ROA-matched and unmatched accruals are similar, for brevity, we report only the findings of
the ROA-matched DD discretionary accruals.
Panel A in Table 4 reports a two-way analysis of discretionary accruals across M/V and
size quartiles. We find that average accruals are larger for smaller and more overvalued
companies. For the largest size quartile, the difference in mean accruals between the extreme
M/V quartiles is -0.0074 which is not significantly different from zero. As firm size decreases,
the difference in mean accruals monotonically increases. Specifically, the differences in mean
accruals are 0.0078, 0.0206, and 0.0381 for the third, second, and first quartile, respectively, and
the latter two differences are significantly different from zero at the 0.01 level. Smaller size
alone is not, however, a sufficient condition for high accruals: The average accrual is only
0.0021 and is not significantly different from zero for the smallest size and lowest M/V portfolio.
Smaller firms must also be overvalued by the market to be motivated to manipulate earnings.
Therefore, market pressure hypothesis only applies to smaller firms, while our results on large
firms are consistent with the monitoring hypothesis.
<< INSERT TABLE 4 ABOUT HERE>>
As alternative measures of the degree of external monitoring, we use the inclusion in the
S&P 1500 index and tracking by the I/B/E/S database or the Investor Responsibility Research
Center (IRRC, currently RiskMetrics Group) database. Analysts pay more attention to firms that
are included in the S&P index, that are tracked by IRRC, or that the I/B/E/S database contains
14
analyst forecasts for. For each criterion, we split the whole sample into high and low monitoring
groups: The high-monitoring group contains firms included in the index or databases, and the
low-monitoring group contains other firms. Under the monitoring hypothesis, there should be no
difference in accruals between the extreme M/V quartiles for the high-monitoring group. Results
in Panel B in Table 4 support the monitoring hypothesis. For the low-monitoring group, the
discretionary accrual is significantly higher for overvalued companies. The largest difference is
0.0083 and occurs for companies without earnings forecast; presumably they face the least
external monitoring. By contrast, overvalued companies do not have significantly higher
accruals for the high-monitoring group. Take S&P companies as an example: When companies
are included in the S&P index, their average discretionary accruals are significantly negative
whether their stocks are overpriced or not. There is no significant difference in average accruals
between high and low overvalued companies.6 On the other hand, for companies not included in
the S&P index, the average accrual for overvalued companies is significantly positive and higher
than non-overvalued companies.
One concern for our measure of overvaluation is its measurement error. The fundamental
estimated from Rhodes-Kropf et al.’s (2005) regression approach may be different from the
fundamental perceived by managers. Consequently, firms measured as overvalued by this
method may in fact not be perceived as overvalued in the eyes of managers, and we therefore
6 To examine whether the S&P results are independent of the size results, we use a three-way sorting in untabulated
tests. Firms are grouped based on size, S&P status, and overvaluation. We find that, for small companies included in
the S&P index, the difference in accruals between high and low overvalued firms is not significant. By contrast, for
large non-S&P companies, overvalued firms have a significantly higher accrual. Therefore, the S&P status is a
stronger indication of market pressure and in the regression analysis followed in this study we divide our sample
based on S&P status.
15
would not observe a significantly higher accrual.
However, the measurement error is unlikely to affect our conclusions for two reasons.
First, the measurement error issue should be larger for small firms because the external
monitoring of small firms is weaker and the information asymmetry between outside investors
and managers is stronger. This would cause the measurement error to create a stronger bias
against the market pressure hypothesis for small firms. However, it is in small firms that we find
evidence to support the market pressure hypothesis.
Second, our measure of overvaluation is correlated with the extent of seasoned equity
offerings (SEO). The extent of SEO is a measure of the overvaluation perceived by managers,
because managers will issue new shares to time the market (Baker, Ruback, and Wurgler, 2005).
Specifically, we measure the extent of SEO by the amount of the sale of common and preferred
stock (item 108) deflated by the market capitalization. The median number of SEO at year t+1 is
0.13 percent for the lowest M/V quartile and 0.57 percent for the highest quartile. Therefore, the
managerial decision of SEO is consistent with our measure of overvaluation.
3.2. Firm traits that affect the level of the soundness of the governance system
In addition to external monitoring, the effectiveness of earnings management is also
related to the soundness of the governance system. That is, a manager’s ability to manage
earnings is directly related to the firm’s ability to monitor his or her behavior. If internal
monitoring leads to the discovery of earnings management, managers may pay a high price, i.e.,
the board may choose to terminate the offending manager’s employment. Furthermore, as the
reputation of the company may be hurt, it may result in a drop in market price (Jensen, 2005),
where then the value of any shares or options held by the manager decreases. Finally, the odds of
16
a takeover increase. The magnitude of the cost is related to the extent that the governance
mechanism is aligned with shareholders’ interests. Accordingly, overvalued companies with
sounder governance mechanism should be less inclined to manipulate earnings.
To measure the degree of alignment of the governance mechanism with shareholders’
interests, we first use a governance index adapted from Gompers, Ishii, and Metrick (2003).
Beginning in 1990, the IRRC has compiled a database once every two years to document
corporate governance provisions that restricts shareholder rights. Gompers et al. classified these
24 provisions into five groups: Tactics for delaying hostile bidders, voting rights, director/officer
protection, other takeover defenses, and state laws. For every firm, they add 1 point for every
provision that restricts shareholder rights and increases managerial power; the governance index
is the sum of all these points. For ease in comparing with the incentive ratio introduced later, we
define our governance index as increasing with shareholder rights. Therefore, we subtract
Gompers et al.’s (2003) governance index from 24 to obtain our governance index (hereinafter
GI).
For each year from 1990, we form two-way portfolios based on an independent sorting
of the M/V in year t and the most recent GI. Panel C in Table 4 reports the average accruals for
the valuation and governance index portfolios. The difference in mean accruals between the
extreme M/V quartiles is 0.0076 (-0.0034) for the lowest (highest) GI group. The positive
(negative) sign of the differences for the lowest (highest) GI group is consistent with the
argument that managers from overvalued companies are less aggressive in managing earnings
when the governance mechanism is more aligned with shareholders interest. These differences,
however, are not statistically significant at the 0.10 level.
We also use Bergstresser and Philippon’s (2006) incentive ratio to measure the degree of
17
alignment between the governance system and shareholders’ interests. This incentive ratio
measures the relation between the CEO’s compensation and stock price; refer to the Appendix
for a detailed description. To construct the incentive ratio, we obtain information of CEOs’
ownership of stock and stock option holdings from the ExecuComp database covering the years
1992 onward. Whether incentive compensation mitigates or aggravates earnings management is
a matter of debate. On the one hand, incentive compensation may reduce agency problems
between shareholders and managers. If it is structured to serve the shareholders’ long-term
interest, incentive compensation could reduce earnings management. On the other hand, Jensen
(2005) argues that compensation cannot solve the problem of overvalued equity. In fact, closely
linking compensation to the stock price may induce managers to manipulate earnings to make
short-term profits and increase personal wealth. Both Bergstresser and Philippon (2006) and
Efendi et al. (2007) also provide evidence that equity-based compensation is correlated with
earnings management.
Our test for the monitoring hypothesis is, in essence, an examination of whether
corporate governance among higher overvalued firms can alleviate managerial incentives to
manipulate earnings. Specifically, we use a two-way classification on the M/V and incentive
ratio portfolios. In Panel D in Table 4 we find that in the highest incentive ratio (IR) quartile, the
difference in average accruals between the extreme M/V quartiles is -0.0026, which is not
significant at the 0.10 level. This finding is consistent with the monitoring hypothesis.
Furthermore, for the most overvalued quartile, the difference in average ROA-matched
accruals between high and low incentive companies is 0.0134, which is not significant at the
0.10 level. Our results seem contradictory to earlier studies that show equity incentives lead to
earnings management. For example, Cheng and Warfield (2005) show that CEOs with high
18
equity incentive increase abnormal accruals. The difference between Cheng and Warfield and
our study is related to our control of ROA. That is, if we use DD discretionary accruals (Dechow
and Dichev, 2002) instead, we find that for the most overvalued quartile, the average accrual is
significantly higher for high incentive companies.7 This again echoes Kothari et al.’s (2005)
findings that controlling for operating performance is important for studies on accruals.
The last measure of governance mechanisms is the independence of the audit committee.
An audit committee is defined as independent if all its members are independent directors. We
obtain the data from IRRC. The results are reported in Table 4 – Panel E, which shows that
whether the audit committee is independent or not, there is no significant difference in accruals
between high or low overvalued companies.
To summarize, we find that overvalued companies do not have significantly higher
discretionary accruals as long as they are large, tracked by analysts, or included in the S&P 500
index. These results are consistent with the view that outside monitoring can reduce the
incentive to manage earnings. Although we do not find any differences in accruals between high
and low overvalued companies along the governance dimension, it does not indicate that
governance is not effective. The governance variables we use comes from the ExecuComp and
IRRC databases and these databases only cover large firms or S&P 1500 companies. Given the
effect of extensive outside monitoring on earnings management, the governance mechanism
becomes less important.
3.3. Firm traits that affect the level of market pressure
We consider two firm traits that lead to market pressures on managers of overvalued
7 We also run regressions and obtain similar results, which are available on request.
19
companies: Realized operating performance and equity dependence. All managers face greater
pressure to improve operating performance when it is poor than when it is good. However, when
overvalued firms underperform, managers face additional pressure to justify the inflated price as
these firms may face large revaluations of their stock prices. Following this rationale, operating
performance can be plausibly linked to earnings management.
We adopt a bivariate grouping method to examine whether overvalued but poor
performing firms are more likely to engage in earnings management. In particular, we use ROA
as a measure of the realized operating performance and a two-way independent sorting based on
M/V at the end of year t and ROA in year t+1.
The extent of overvaluation and future performance tends to be positively correlated but
is not monotonically so. Panel B in Table 3 shows that within the lowest M/V quartile companies
tend to have low ROA. On the other hand, within the highest M/V quartile, companies have
either very high or very low ROA: More than one third is in the highest ROA quartile and one
quarter is in the lowest ROA quartile.
The results on accruals are reported in Panel A in Table 5. In the lowest ROA quartile, the
average accruals for year t+1 are 0.0116 (-0.0103) for the highest (lowest) M/V quartile. The
difference of 0.0218 is significant at the 1% level. The differences are no longer significantly
positive for firms in the other three ROA quartiles. Therefore, not all overvalued companies will
increase their accruals; only those with bad operating performances are under market pressure to
do so.
Moreover, for the highest ROA quartile, it is the lowest M/V companies that have
significantly positive accruals (0.008). It seems that companies are aggressive in earnings
reporting only when their market valuations and operating performances are mismatched. That is,
20
not only overvalued companies with a weak operating performance want to justify their market
prices, but undervalued companies with a strong operating performance also want to boost their
market prices.
<< INSERT TABLE 5 ABOUT HERE>>
The second characteristic we examine is the degree of equity dependence. Higher levels
of equity dependence can lead to increased market pressures for overvalued companies. Prior
studies (e.g., Teoh, Welch, and Wong, 1998a, 1998b) have suggested that equity offerings are
directly related to higher accruals. To make the terms more attractive, managers manage the
earnings to keep the market price before the issuance. When firms are more equity dependent,
pressures to conserve the equity financing channel are larger. Therefore, we predict that among
overvalued firms, the extent of earnings management will be positively related to the extent of
equity dependence.
To test our assumption, we follow Kaplan and Zingales (1997), Lamont, Polk, and
Saá-Requejo (2001), and Baker et al. (2003) to construct the KZ index as a measure of equity
dependence or financial constraint, as follows:
, , , , , ,1.002 39.368 1.315 3.139 0.283i t i t i t i t i t i tKZ CF Div C Lev Q , (9)
where CF is the cash flow (item 14 + item 18), Div is cash dividends (item 19 + item 21), and C
is cash balances (item 1). All of these variables are scaled by lagged total assets.8
8 An alternative definition of the equity dependence measure excludes Tobin’s Q for conceptual cleanness of the
equity transaction and the investment opportunities (Baker et al., 2003). In untabulated tests, we construct the equity
dependence measure that excludes Tobin’s Q; the results are similar.
21
We use a two-way independent sorting on the (M/V)t and the KZ index in year t. Panel C
in Table 3 reports average discretionary accruals in year t+1. Within the highest KZ index
quartile, the average accruals are 0.0099 for the highest M/V quartile and -0.0049 for the lowest
M/V quartile. The difference of 0.0148 is significant at the 0.01 level. By contrast, for firms in
the other three KZ index quartiles, the differences are not significantly positive. Therefore,
evidence on equity dependence also supports the market pressure hypothesis.
3.4. Interaction between monitoring and market pressure
We have seen that individually both monitoring and market pressure help to decide
whether overvalued companies have higher accruals; now we want to see whether the market
pressure effect still exists within the subsample that has strong monitoring.
Panels C and D in Table 5 report the bivariate grouping based on the extent of
overvaluation and market pressure for the sample of S&P 1500 companies. We find that
overvalued S&P companies do not increase their accruals even when their operating
performances are bad or when they have high degree of equity dependence. As a result, there is
no significant difference in discretionary accruals between high and low overvalued companies
for the lowest ROA quartile and the highest KZ index quartile.
4. Robustness check
We now extend the bivariate analysis in three directions to check the robustness of our
results. We first divide our sample into S&P 1500 companies and non-S&P 1500 companies,
employ a multivariate analysis, and compare the economic significance of different variables in
Section 4.1. Section 4.2 performs a robustness check using alternative measures of earnings
management. A final robustness check using an alternative measure of fundamental values is
22
conducted in Section 4.3.
4.1. Multivariate analysis
Because our bivariate analysis suggests that high-attention firms behave very differently
from low-attention firms, we divide our sample into S&P 1500 companies and non-S&P 1500
companies. We then run multiple regressions to take all the variables into consideration. Given
that our samples include both time-series and cross-sectional data, we use the Fama–MacBeth
(1973) methodology. For each year from 1987 to 2004, we run a cross-sectional regression to
estimate coefficients. Then, we calculate the time-series average and standard deviation of
coefficients to determine whether they are significantly different from zero.
We use the DD discretionary accrual (DDACF; Dechow and Dichev, 2002) as the
dependent variable in the regression, which is calculated from the cash flow statements in year
t+1. The independent variables are (a) overvaluation, (b) size (the logarithmic of market
capitalization), ROA, and the extent of equity dependence (KZ), (c) interaction terms between (a)
and (b), (d) the lagged accrual, and (e) the industry (defined by two-digit SIC code) dummies.
We do not use the ROA-matched discretionary accruals as the dependent variable
because doing so would leave out all the matching observations and cut the total sample size in
half. Instead, we include the ROA in year t+1 as an independent variable in the regression to
control for any operating requirement effect not entirely captured by the DD discretionary model.
We also include the lagged accrual as an independent variable. We control for lagged accrual
because firms may boost earnings and thereby the valuations at year t and the accruals reverse in
the following year. We do not include the governance index and the incentive ratio variables in
the multivariate regression because they are only available for S&P firms from 1992 onwards,
23
and because they are not significant in the bivariate analyses.
<< INSERT TABLE 6 ABOUT HERE>>
Table 6 reports the time-series averages of regression coefficients. In Panel A, results are
generally consistent with those in the grouping analysis. To start, consistent with the results of
Table 2, when it comes to the effect of overvaluation on earnings management it is important to
control for ROA. For the S&P companies, when ROA is uncontrolled in Model 1, the M/V
coefficient is 2.55 and significantly different from zero at the 0.10 level.9 In Model 2, after
controlling for ROA, the M/V coefficient decreases to –1.44 and is not significantly different
from zero at the 0.10 level, while the ROA coefficient is 0.23 with t-statistic 14.21. The results
echo the positive correlation between M/V and ROA in Table 3. In S&P companies, the
effectiveness of monitoring prevents managers with overvaluation from conducting earnings
management. On the other hand, for less-monitored non-S&P companies, managers with
overvaluation engage in earnings management to meet market pressure. The effect of
overvaluation is significant for non-S&P companies even when controlling for ROA. The
t-statistic of ROA is higher than that of M/V (13.44 vs. 7.47, respectively).
To further examine the relative economic significance of M/V and ROA on the accruals, we
calculate the sensitivity of the accrual with respect to M/V and ROA. Specifically, we calculate
the unit change of a quartile deviation of the accruals with respect to per-unit change of a
quartile deviation of M/V and of ROA. A quartile deviation is one-half of the difference between
the 75th percentile and the 25th percentile. We use the quartile deviations rather than standard
9 For readability, we time the coefficients on overvaluation, size, KZ, and the interaction terms by 1000.
24
deviations because the quartile deviation is more resistant to extreme observations. Using the
results of the S&P companies in Model 2, the fitted accrual of a firm with an M/V of 0.64 (the
25th percentile; see Table 1) is 0.0016, or equivalently 0.0344 quartile deviations, less than that
of a firm with an M/V of 1.77 (the 75th percentile).10
Therefore, the sensitivity of the accrual
with respect to M/V is –0.0172. On the other hand, the sensitivity of the accrual with respect to
M/V for non-S&P companies is 0.07. In terms of the sensitivities of the accrual with respect to
ROA, they are 0.31 and 0.25, respectively, for S&P companies and non-S&P companies. Similar
to the statistical significances, the sensitivities of the estimated ROA coefficients are much larger
than those of the estimated M/V coefficients.
Model 3 in Panel A in Table 6 examines the firm characteristics related to monitoring and
market pressure. The focus is on the coefficients of the interactions of overvaluation and firm
characteristics. We find that for S&P companies, none of the interaction coefficients are
significant, while for the non-S&P companies they are. These results are generally consistent
with the predictions of the monitoring and market pressure hypotheses.
We further focus on the statistics and the economic significance of M/V on the accruals
for the non-S&P companies. For firm size, a monitoring variable, the interaction coefficient is
-2.04, which equals 4.4 standard errors from 0. For the economic significance, we compute the
sensitivity of the accrual with respect to overvaluation at different firm size levels in Table 7.
Again, the sensitivity is calculated in the unit of quartile deviation. Given the firm size at its 25th
percentile (28.04 million; see Table 1), the fitted accrual increases only 0.10 quartile deviations
10
The change in accrual is evaluated at the median of other variables. The fitted accrual, given M/V is at the 75th
(25th) percentile and the other independent variables are at the median, is around 0.0034 (0.0050). One quartile
deviation of the accrual is 0.0476.
25
as M/V increases 1 quartile deviation, i.e. the sensitivity is 0.10. The sensitivity drops to one
third of this when firm size increases to its 75th percentile. Thus, the smaller the market
capitalization is, the larger the impact of overvaluation on accruals becomes. This supports the
monitoring hypothesis, where monitoring activities reduce the incentive of overvalued
companies to manage earnings.
<< INSERT TABLE 7 ABOUT HERE>>
For the characteristics related to the market pressure hypothesis, such as ROA and the
KZ index, results are also consistent with the bivariate analysis in Table 5. The coefficient on the
interaction between overvaluation and ROA is -20.61 with t-statistic –3.71, and the sensitivity is
0.09 (0.05), given ROA at its 25th (75th) percentile. This means that the poorer the realized
operating performance is, the larger the impact of overvaluation on accruals becomes. On the
other hand, the coefficient on the interaction between overvaluation and the KZ index is 0.81
with t-statistic 2.01. The sensitivity is 0.06 (0.07), given KZ at its 25th (75th) percentile. These
results support the market pressure hypothesis that market pressure makes overvalued
companies susceptible to earnings management.
To summarize, judged by either statistical or economical significance, the effect of
market pressure is weaker than that of monitoring. The findings show that overvalued companies
use accruals more aggressively only when firms receive less attention.
One remaining concern is whether our results only exist in the Internet bubble at the end
of the 1990s. Efendi et al. (2007) document a rash of earnings manipulations during the period
between January 1997 and June 2002, which influenced the passage of the Sarbanes-Oxley Act
26
of 2002. Panels B and C in Table 6 report the time-series averages of regression coefficients of
the entire investigated period excluding 1996 to 2000, and of the period 1996 to 2000,
respectively. For S&P companies, the interaction coefficients are found to be not significant for
either period. For non-S&P companies, all the interaction coefficients are highly significant
when excluding the bubble period, while during the bubble period, firm size and ROA
interaction coefficients are also both significant. We therefore conclude that our evidence
regarding the monitoring and market pressure hypotheses is not driven by the Internet bubble
period.
4.2. Alternative estimates of earnings management
In the preceding analysis, the results are mainly based on DD discretionary accruals
(DDACF; Dechow and Dichev, 2002). As a robustness check, we present multiple regressions
using alternative estimates of earnings management documented in previous literature in Table 8.
As space is limited, we only report coefficients related to the overvaluation variable. To begin,
we focus on alternative discretionary accruals models constructed from items on the cash flow
statement. Consistent with the monitoring hypothesis, the coefficients of M/V and its interaction
terms in Panel A of Table 8 are not significantly different from zero for S&P companies, while
evidence of the market pressure hypothesis does exist for non-S&P companies. In Panel B, the
coefficients are significantly negative for the interaction between overvaluation and ROA
(t-statistics are from –5.14 to –4.73) and positive for the interaction between overvaluation and
the KZ index (t-statistics are from 2.08 to 2.38). Thus, overall, the results are unchanged when
the discretionary accruals are estimated through alternative models.
27
<< INSERT TABLE 8 ABOUT HERE>>
Results of the discretionary accruals so far are constructed from items on the cash flow
statement. Although accruals constructed from items on the balance sheet suffer an upward bias,
as we documented in Section 2, it is undisputedly an approach that has often been used in
previous studies. Consequently, we report multiple regressions using the modified Jones
discretionary accrual calculated from the balance sheet. For S&P companies, the coefficients of
M/V and its interaction terms are still not significantly different from zero. Thus, results are
similar when the accruals are calculated from the balance sheet as when they are calculated from
the cash flow statement. Furthermore, evidence that the market pressure hypothesis exists only
for non-S&P companies remains. In Panel B, the coefficients are significantly negative for the
interaction between overvaluation and ROA and positive for the interaction between
overvaluation and the KZ index.
Lastly, we examine the earnings management through real activities, which has become a
focus of recent literature (Cohen, Dey, and Lys, 2008; Cohen and Zarowin, 2010; Roychowdhury,
2006). Hence, we ask if the market pressure hypothesis and the monitoring hypothesis hold
regarding the impact of overvaluation on real earnings managements.
Following Roychowdhury (2006), we use three measures of real earnings management.
Firstly, companies can produce inventory more than necessary to lower cost of goods sold and
increase reported earnings. By producing more units, managers spread the fixed costs, causing
the fixed costs (and thereby cost of goods sold) per unit to be lower. However, the firm will still
incur much higher incremental holding costs, which cause annual producing costs to increase
relative to sales, and cause a decline in cash flow from operations given sales levels. The higher
28
the production cost is, the more extent of real earnings management is. Empirically, abnormal
production costs are estimated through the following cross-sectional regression within each
two-digit SIC code industry and each year:
, , , 1
, 0 1 2 3 4 ,
, 1 , 1 , 1 , 1
1[ ] [ ] [ ] [ ]
i t i t i t
i t i t
i t i t i t i t
Sales Sales SalesPRODA
Assets Assets Assets Assets
, (10)
where PRODA is the production cost (cost of goods sold (item 44) + change in inventory (item
3)) scaled by the lagged total assets. The abnormal productions costs, ABPRODA, are the
residuals in equation (10).
Secondly, firms can accelerate the timing of sales by offering price discounts or lenient
credit terms. Either way will cause a temporary increase in sales volume (which will disappear
when the firm reverts to old prices). Thus, the earnings in the current year will increase as the
additional sales are recorded with an assumption of positive margins. However, the current-year
cash flow from operations will decrease; this lower levels of cash flow from operations proxy
for higher levels of real earnings management. Thus, to establish the second proxy for real
earnings management, we run the following cross-sectional regression estimated for each
two-digit SIC code industry and each year:
, ,
, 0 1 2 3 ,
, 1 , 1 , 1
1[ ] [ ] [ ]
i t i t
i t i t
i t i t i t
Sales SalesOCFA
Assets Assets Assets
, (11)
where OCFA is the total cash flow from operations (item 308) scaled by the lagged total assets.
For ease in comparing with the results of the accruals, we define the second proxy for real
earnings management, the abnormal cash flow from operations, ABOCFA, as negative one times
the residuals in equation (11), so that a higher ABOCFA means higher levels of real earnings
management.
29
Thirdly, managers can increase reported earnings by reducing discretionary expenses
such as R&D, advertising, selling, and general and administrative expenses. Therefore, a lower
discretionary expense can reveal a higher level of real earnings management. To establish the
third proxy for real earnings management, we run the following cross-sectional regression
estimated for each two-digit SIC code industry and each year:
,
, 0 1 2 ,
, 1 , 1
1[ ] [ ]
i t
i t i t
i t i t
SalesDISEXPA
Assets Assets
, (12)
where DISEXPA is the discretionary expenses (R&D (item 46)+Advertising (item 45)+Selling,
General and Administrative expenses (item 189)) scaled by the lagged total assets. We define the
third proxy for real earnings management, the abnormal discretionary expenses, ABDISEXPA, as
negative one times the residuals in equation (12), so that higher levels of ABDISEXPA proxies
for higher levels of real earnings management.
There is no evidence that, for highly monitored S&P companies, those that are
overvalued will manage their earnings through real activities. From Panel A of Table 8, neither
the coefficients of M/V, nor the coefficients of interaction terms are significantly different from
zero for S&P companies. Combining results on accruals and real earnings management, there is
strong evidence that supports the monitoring hypothesis for S&P companies.
On the other hand, for non-S&P companies, there is weak evidence to support the market
pressure hypothesis. In Panel B, for both the abnormal production costs and abnormal cash flows
from operations, the coefficients are significantly negative for the interaction between
overvaluation and ROA (–8.19 and –59.47). For the abnormal cash flow from operations, the
coefficients are significantly positive for the interaction between overvaluation and the KZ index
(65.77). Results are most similar when the earnings management is measured by the abnormal
30
cash flow from operations.
4.3. Alternative measure of fundamental values
Our estimates of fundamental values used thus far are based on regressions, which has
the least requirement on data availability and can be easily applied to the whole sample. The
weakness is that it is not based on any valuation models. An alternative measure is based on a
discounted residual income approach (Frankel and Lee, 1998; Ohlson, 1990). This model-based
estimator requires analysts’ forecast of future earnings per share from the I/B/E/S database. As a
robustness check, we also estimate the model-based fundamental values for companies that have
the data. To estimate the fundamental value from I/B/E/S analysts’ consensus forecasts, we use
the following equation:
1 2 3, 1 22 2(1 ) (1 ) (1 )
t e t e t eA t t t t t
e e e e
FROE r FROE r FROE rV B B B B
r r r r
, (13)
where Bt is the book value; re is a three-factor industry-specific cost-of-equity (Fama and French,
1997); FROEt+i is the forecasted return on equity (ROE) for period t+i, calculated as
2 1/[( ) / 2]t i t i t i t iFROE FEPS B B ; (14)
and FEPSt+i is the I/B/E/S consensus forecasts of EPS for period t+i. Future book values are
computed as
1[1 (1 )]t i t i t iB B FROE k , (15)
where k is the dividend payout ratio, calculated as the common stock dividends paid (item 21)
divided by the net income before extraordinary items (item 237).
Table 9 reports multiple regression results using both regression-based estimates and
forecast-based estimates of the fundamental value. The sample includes all companies available
in the I/B/E/S database. The qualitative results from two estimates of the fundamental values are
31
very similar. On average, these firms receive regular scrutiny from analysts, and we find little
evidence that overvalued companies are aggressive in their management of earnings accruals.
However, we do find some evidence that overvalued companies with poor operating
performances manage earnings more aggressively. Therefore, overall, our results are robust to
different estimates of the fundamental value.
<< INSERT TABLE 9 ABOUT HERE>>
5. Conclusion
Using U.S. data from 1987 to 2005, we test the market pressure hypothesis against the
monitoring hypothesis. The monitoring hypothesis predicts that subsequent earnings
management will be independent of market overvaluation when market monitoring is strong.
The market pressure hypothesis predicts a positive relation between market overvaluation and
future earnings management when monitoring is weak and market pressure is strong.
Consistent with the monitoring hypothesis, we find no relation between market
overvaluation and different measures of accruals and real earnings management in firms
included in the S&P 1500 index. Only for companies with weak monitoring do we find evidence
consistent with the market pressure hypothesis. For companies that are not in the S&P index and
do not have any analysts following, there is a positive relation between market overvaluation
and future accruals in poor-performing and equity-dependent firms. We also find similar results
when the real earnings management is measured by cash flow from operations. These findings
are consistent with the market pressure hypothesis.
32
Thus, monitoring is found to be an important factor in the decision of whether or not to
manage earnings by overvalued companies. Whether monitoring can play a role in other
corporate decisions will be left for future research.
33
Appendix.
The incentive ratio
To measure executive incentives from the CEOs’ company stock and option holdings, we
first calculate the dollar change in the value of CEOs’ stock and option holdings for a 1%
increase in company stock price:
)(01.0 OPTIONSSHARESPRICEOnepct , (16)
where PRICE is the company’s fiscal year-end stock price, SHARES is the number of shares held
by the CEO (including restricted stocks), OPTIONS is the number of options held by the CEO,
and is the sensitivity of the CEO’s option portfolio value to the value of the underlying stock.
We follow Core and Guay’s (2002) approach to estimate . ExecuComp reports detailed
information on current year option grants and aggregate information on year-end option holdings.
Core and Guay partition the CEO’s options into three grants: Those awarded in the current year,
those awarded in previous years and currently exercisable, and those awarded in previous years
but currently unexercisable. Exercisable and unexercisable previously granted options are
treated as two single grants. For each of the three grants, the is estimated through
Black–Scholes–Merton option pricing formula (Black and Scholes, 1973; Merton, 1973). For
every 1% increase in stock price, the dollar change in the value of CEOs’ option holdings is
equal to the sums of the dollar changes in the value of the three grants.
Second, we normalize Onepct by the total compensation generated by 1% increase in
stock price:
)/( BONUSSALARYOnepctOnepctIR , (17)
where IR denotes the incentive ratio and SALARY and BONUS are the dollar value of the CEO’s
base salary and bonus, respectively. As the incentive ratio increases, the weight of equity-based
34
compensation (i.e., stocks and options) relative to the CEO’s total compensation also increases
as do the links between company stock price and the CEO’s wealth and, consequently, the
CEO’s incentives.
35
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39
Table 1
Summary statistics
Variable Mean SD Q1 Median Q3 N
AcCF –0.0555 0.1385 –0.1084 –0.0520 –0.0004 64,353
AcBS –0.0306 0.1240 –0.0874 –0.0395 0.0115 64.353
JACF 0.0028 0.1261 –0.0447 0.0074 0.0569 64,353
MJACF 0.0031 0.1274 –0.0455 0.0067 0.0570 64,353
CFOACF 0.0081 0.1276 –0.0398 0.0113 0.0619 58,048
DDACF 0.0060 0.1188 –0.0390 0.0081 0.0562 50,927
Market-to-fundamental value of
equity (M/V) 1.5400 2.4820 0.6368 1.0740 1.7731 64,353
Market capitalization (M, in $MM) 1,388.06 8,810.96 28.04 112.16 506.69 64,353
Fundamental value estimated from
regressions (V, in $MM) 769.78 3091.75 35.08 109.27 396.33 64,353
Market-to-book ratio of equity
(M/B) 3.6929 47.7782 1.0758 1.8388 3.2932 64,353
Return on assets (ROA) –0.0204 0.3233 –0.0359 0.0376 0.0899 64,353
KZ Index 0.6389 1.4494 0.0402 0.7310 1.4857 60,528
Incentive ratio 0.1862 0.2364 0.0319 0.0885 0.2378 14,411
Governance index 14.7377 2.7209 13 15 17 13,268
The sample is comprised of firm-year observations that are covered by COMPUSTAT and CRSP databases from 1987
through 2005. The total accrual (Ac) is constructed from items on the cash flow statement (CF) or items on the
balance sheet (BS) and is scaled by total asset at the end of the previous year. An observation of an accrual is dropped
if its absolute value exceeds 1, and the total accrual is winsorized at the 1st and 99th percentiles. The discretionary
accruals are residuals of cross-sectional regressions estimated for each year and each two-digit SIC code industry
using the entire COMPUSTAT data with the Jones (1991) model (JA), the modified Jones model (MJA; Dechow et al.
1995), the CFO model (CFOA; Dechow et al., 1998), or the DD model (DDA; Dechow and Dichev, 2002). Both the
M/B and firm size are at the end of each fiscal year. M/V is the market-to-fundamental value of equity and measures
the extent of overvaluation. The measure of value (V) proxies for fundamental value and is estimated by regressing
the market equity on the book equity, the net income (COMPUSTAT annual data item 172), and the book leverage
ratio (see Rhodes-Kropf et al., 2005). ROA is the net income scaled by the lagged total assets (item 6). The KZ Index
measures the degree of equity dependence (see Baker et al., 2003; Kaplan and Zingales, 1997; Lamont et al., 2001).
The governance index is adapted from Gompers et al. (2003); their index number is 24 minus the index used here. The
incentive ratio is defined as the dollar change in the value of a CEO’s stock and option holdings for a 1% increase in
the stock price (see Appendix).
40
Table 2
One-way sorting analysis on the overvaluation (M/V) in year t
Panel A: Relation between (M/V)t and total accruals in year t+1
Mean Median
Accruals t+1 Lowest (M/V)t Highest (M/V)t Highest –
Lowest Lowest (M/V)t Highest (M/V)t Highest –
Lowest AcCF, t+1 –0.0728*** –0.0600*** 0.0128*** –0.0598*** –0.0557*** 0.0041***
AcBS, t+1 –0.0533*** –0.0312*** 0.0221*** –0.0505*** –0.0393*** 0.0112***
Panel B: Relation between (M/V)t and discretionary accruals from the cash flow statement in year t+1
Without control Controlling for performance (ROAt+1)
Mean accruals t+1 Lowest (M/V)t Highest (M/V)t Highest –
Lowest Lowest (M/V)t Highest (M/V)t Highest –
Lowest JACF, t+1 –0.0079*** 0.0022** 0.0101*** –0.0015 –0.0013 0.0002
MJACF, t+1 –0.0096*** 0.0031*** 0.0127*** –0.0023** –0.0005 0.0019
CFOACF, t+1 0.0019 0.0099*** 0.0080*** –0.0013 –0.0016 –0.0003
DDACF, t+1 0.0011 0.0072*** 0.0062*** –0.0004 –0.0031** 0.0027
M/V is the market-to-fundamental value of equity and measures the extent of overvaluation. The fundamental value
(V) is estimated from regressions. The sample is comprised of firm-year observations that are covered by
COMPUSTAT and CRSP databases from 1987 through 2005. For each year t from year 1987 to 2004, we sort
observations by M/V at the end of year t into four portfolios. Panel A reports the total accrual (Ac) as constructed from
items on the cash flow statement (CF) or items on the balance sheet (BS) and scaled by total assets at the end of the
previous year. An observation of accrual is dropped if its absolute value exceeds 1, and the total accrual is winsorized
at the 1st and 99th percentiles. In Panel B, the discretionary accruals are residuals of cross-sectional regressions
estimated for each year and each two-digit SIC code industry using the entire COMPUSTAT data with the Jones (1991)
model (JA), the modified Jones model (MJA; Dechow et al., 1995) , the CFO model (CFOA; Dechow et al., 1998), or
the DD model (DDA; Dechow and Dichev, 2002). To control for performance, we first find a control observation from
the second and third M/V quartiles for each observation in the highest and the lowest M/V quartiles at the end of year
t; both observations are taken from the same industry and have the closest ROA in year t+1. The ROA-matched
discretionary accrual is the difference of discretionary accruals between the extreme and the control observations.
***, **, * denote significance at the 0.01, 0.05, and 0.1 levels, respectively.
41
Table 3
Distribution of firms over the quartiles of firm size, measures of the realized operating performance, and the
degree of equity dependence in (M/V)t extreme quartiles (%)
Panel A: Distribution over firm size in year t (Mt) quartiles
Smallest Mt 2 3 Largest Mt
Highest (M/V)t 7.09 16.94 28.18 47.79
Lowest (M/V)t 58.15 26.21 11.21 4.44
Panel B: Distribution over realized operating performance (ROAt+1) quartiles
Lowest ROAt+1 2 3 Highest ROAt+1
Highest (M/V)t 25.90 17.71 20.00 36.39
Lowest (M/V)t 31.62 31.14 23.02 14.22
Panel C: Distribution over degree of equity dependence in year t (KZt) quartiles
Lowest (KZ)t 2 3 Highest (KZ)t
Highest (M/V)t 22.27 21.98 23.85 31.91
Lowest (M/V)t 26.19 24.22 24.52 25.07
M/V is the market-to-fundamental value of equity and measures the extent of overvaluation. The fundamental value
(V) is estimated from regressions. The sample comprises firm-year observations that are covered by COMPUSTAT
and CRSP databases. For each year t, we sort, two-way independent, on (M/V)t and the firm size at the end of year t
(Panel A), ROA in year t+1 (Panel B) and the KZ Index (Panel C), which generates 16 portfolios.
42
Table 4
Tests for the monitoring hypothesis: Mean ROA-matched DDACF, t+1 of two-way portfolios sorting on M/V
and the extent of external monitoring and the soundness of the governance mechanism
Panel A: Sorting on M/V and firm size in year t (Mt)
Smallest Mt 2 3 Largest Mt Largest – Smallest
Highest (M/V)t 0.0402*** 0.0170*** 0.0045 –0.0207*** –0.0609***
Lowest (M/V)t 0.0021 –0.0036 –0.0033 –0.0133** –0.0154***
Highest – Lowest 0.0381*** 0.0206*** 0.0078 –0.0074
Panel B: Sorting on M/V and the inclusion of the index or database in year t
Constituents of the S&P
1500 index
Coverage in the IRRC
database
Coverage in the I/B/E/S
database
No Yes No Yes No Yes
Highest (M/V)t 0.0051** –0.0197*** 0.0035 –0.0175*** 0.0132*** –0.0204***
Lowest (M/V)t 0.0002 –0.0219** –0.0005 –0.0095** 0.0050*** –0.0132***
Highest – Lowest 0.0048* 0.0021 0.0040* –0.0080 0.0083*** –0.0072**
Panel C: Sorting on (M/V)t and the governance index (GI) in year t
Lowest GI t 2 3 Highest GIt Lowest – Highest
Highest (M/V)t 0.0047 –0.0046 –0.0035 –0.0020 –0.0067
Lowest (M/V)t –0.0029 –0.0067 –0.0001 0.0014 0.0043
Highest – Lowest 0.0076 0.0021 –0.0034 –0.0034
Panel D: Sorting on (M/V)t and the incentive ratio (IR) in year t+1
Lowest IRt 2 3 Highest IRt Lowest – Highest
Highest (M/V)t –0.0171** 0.0021 0.0006 –0.0038 0.0134
Lowest (M/V)t 0.0004 –0.0067* –0.0058 –0.0012 –0.0016
Highest – Lowest –0.0175** 0.0088 0.0064 –0.0026
Panel E: Sorting on M/V and the independence of the audit committee
Percentage of independent directors in
the audit committee is 100%
No Yes
Highest (M/V)t –0.0049* –0.0011
Lowest (M/V)t 0.0032 –0.0041
Highest – Lowest –0.0081 0.0030
M/V is the market-to-fundamental value of equity and measures the extent of overvaluation. The fundamental value
(V) is estimated from regressions. The sample is comprised of firm-year observations from the following databases:
Panels A, and B: COMPUSTAT and CRSP; Panels C and E: COMPUSTAT, CRSP, and IRRC; and Panel D:
COMPUSTAT, CRSP, and ExecuComp. Sample period coverage is as follows: Panel A and the rightmost two columns
and the leftmost two columns of Panel B: 1987–2005; middle two columns of Panel B and Panel C: 1990–2005; Panel
D: 1992–2005; and Panel E: 1997–2005. The discretionary accruals are residuals of cross-sectional regressions
estimated for each year and each two-digit SIC code industry using the entire COMPUSTAT data with the DD model
(DDACF; Dechow and Dichev, 2002), where the accruals are constructed from items on the cash flow statement. To
control for return on assets (ROA), we first find a control observation from the second and third M/V quartiles for
each observation in the highest and the lowest M/V quartiles at the end of year t; both observations are taken from the
same industry and have the closest ROA in year t+1. The ROA-matched discretionary accrual is the difference of
43
discretionary accruals between the extreme and the control observations. Except Panels B and E, for each year t, we
sort, two-way independent, on (M/V)t and the firm size at the end of year t (Panel A), the governance index in year t
(Panel C), and the incentive ratio in year t+1 (Panel D), which generates 16 portfolios. In Panel B, an independent
sorting on (M/V)t and the inclusion of the index or database at the end of year t generates eight portfolios. In Panel E,
an independent sorting on (M/V)t and the independence of the audit committee at the end of year t generates eight
portfolios. The governance index is 24 minus Gompers et al.’ (2003) index. The incentive ratio is defined as the dollar
change in the value of a CEO’s stock and option holdings for a 1% increase in the stock price (see Appendix).
***, **, * denote significance at the 0.01, 0.05, and 0.1 levels, respectively.
44
Table 5
Tests for the market pressure hypothesis: Mean ROA-matched DDACF, t+1 of two-way portfolios sorting on
M/V and measures of the realized operating performance and the degree of equity dependence
Panel A: Sorting on (M/V)t and realized operating performance (ROAt+1)
Lowest ROAt+1 2 3 Highest ROAt+1 Highest – Lowest
Highest (M/V)t 0.0116*** –0.0014 –0.0028 –0.0140*** –0.0248***
Lowest (M/V)t –0.0103*** 0.0009 0.0037 0.0080* 0.0183***
Highest – Lowest 0.0218*** –0.0023 –0.0065* –0.0220***
Panel B: Sorting on (M/V)t and the degree of equity dependence in year t (KZt)
Lowest( KZ)t 2 3 Highest (KZ)t Highest–Lowest
Highest (M/V)t –0.0057** –0.0115*** –0.0082** 0.0099*** 0.0156***
Lowest (M/V)t 0.0065** –0.0002 –0.0023 –0.0049** –0.0115***
Highest – Lowest –0.0122*** –0.0113*** –0.0059 0.0148***
Panel C: Sorting on (M/V)t and realized operating performance (ROAt+1), S&P 1500 companies
Lowest ROAt+1 2 3 Highest ROAt+1 Highest – Lowest
Highest (M/V)t –0.0101** –0.0029 0.0004 0.0007 0.0107
Lowest (M/V)t –0.0096** 0.0021 –0.0014 –0.0071 0.0025
Highest – Lowest –0.0005 –0.0050 0.0018 0.0077
Panel D: Sorting on (M/V)t and the degree of equity dependence in year t (KZt), S&P 1500 companies
Lowest( KZ)t 2 3 Highest (KZ)t Highest–Lowest
Highest (M/V)t –0.0061* –0.0009 –0.0044* –0.0024 0.0037
Lowest (M/V)t –0.0042 –0.0087** 0.0001 –0.0062 –0.0019
Highest – Lowest –0.0019 0.0078* –0.0044* 0.0038
M/V is the market-to-fundamental value of equity and measures the extent of overvaluation. The fundamental value
(V) is estimated from regressions. The sample is comprised of firm-year observations that in Panels A and B are
covered by COMPUSTAT and CRSP databases from 1987 through 2005, and in Panels C and D are covered by
COMPUSTAT, CRSP, and ExecuComp databases from 1992 through 2005. The discretionary accruals are residuals of
cross-sectional regressions estimated for each year and each two-digit SIC code industry using the entire
COMPUSTAT data with the DD model (DDACF; Dechow and Dichev, 2002), where the accruals are constructed from
items on the cash flow statement. To control for return on assets (ROA), we first find a control observation from the
second and third M/V quartiles for each observation in the highest and the lowest M/V quartiles at the end of year t;
both observations are taken from the same industry and have the closest ROA in year t+1. The ROA-matched
discretionary accrual is the difference of discretionary accruals between the extreme and the control observations. For
each year t, we sort, two-way independent, on (M/V)t and ROA in year t+1 (Panels A and C) and the KZ Index (Panels
B and D), which generates 16 portfolios.
***, **, * denote significance at the 0.01, 0.05, and 0.1 levels, respectively.
Table 6
Time-series average of Fama-MacBeth (1973) cross-sectional regression coefficients
(M/V)t
(× 103) ROA t+1
(M/V)t
*Size t (×10
3)
(M/V)t
*ROAt+1
(× 103)
(M/V)t
*KZt
(× 103) MJACF, t
Size t (× 10
3)
KZt
(×103)
Industry
Dummies
Avg.
R2
Avg.
N
Panel A: 1987–2004
S&P 1500 companies
Model 1 2.55* 0.19*** 1.61** –3.89*** Yes 0.15 662
(1.77) (15.29) (2.00) (–4.07)
Model 2 –1.44 0.23*** 0.21*** –3.08*** 2.60*** Yes 0.24 662
(–1.55) (14.21) (14.40) (–4.65) (3.28)
Model 3 8.35 0.27*** –0.58 –18.58 –0.11 0.20*** –2.45** 3.10** Yes 0.25 662
(0.96) (7.89) (–0.92) (–1.04) (–0.15) (14.52) (–2.18) (2.11)
Non-S&P 1500 companies
Model 1 2.77** 0.17*** 1.69*** –5.41*** Yes 0.04 2,243
(2.49) (21.81) (3.65) (–10.33)
Model 2 6.26*** 0.18*** 0.15*** –4.88*** –0.73 Yes 0.14 2,243
(7.47) (13.44) (14.85) (–9.75) (–1.02)
Model 3 29.44*** 0.22*** –2.04*** –20.61*** 0.81** 0.14*** –2.55*** –1.27 Yes 0.15 2,243
(4.91) (10.72) (–4.40) (–3.71) (2.01) (14.40) (–6.93) (–1.49)
Panel B: 1987–1995 and 2001–2004
S&P 1500 11.86 0.24*** –0.85 –22.70 0.39 0.21*** –1.11 2.03 Yes 0.26 603
(1.06) (5.05) (–1.01) (–0.92) (0.37) (12.45) (–0.76) (1.00)
Non-S&P
1500
20.27*** 0.23*** –1.36*** –25.53*** 0.48 0.15*** –2.77*** –0.31 Yes 0.15 2,197
(3.10) (8.07) (–2.64) (–3.52) (1.12) (11.49) (–5.80) (–0.38)
Panel C: 1996–2000
S&P 1500 0.77 0.27*** 0.07 –13.43 –0.63 0.22*** –2.17** 4.95* Yes 0.22 805
(0.07) (9.24) (0.10) (–1.57) (–1.35) (16.77) (–2.32) (1.91)
Non-S&P
1500
52.72*** 0.23*** –3.88*** –11.43** 1.73* 0.12*** –2.55*** –1.51 Yes 0.15 2,355
(8.01) (18.84) (–7.53) (–2.46) (1.73) (11.00) (–4.91) (–0.92)
M/V is the market-to-fundamental value of equity and measures the extent of overvaluation. The fundamental value (V) is estimated from regressions. The
sample is comprised of firm-year observations that are covered by COMPUSTAT and CRSP. The discretionary accruals are residuals of cross-sectional
46
regressions estimated for each year and each two-digit SIC code industry using the entire COMPUSTAT data with the DD model (DDACF; Dechow and Dichev,
2002), where the accruals are constructed from items on the cash flow statement. Firm size is the natural log of the market capitalization at the end of each fiscal
year. The KZ index measures the degree of equity dependence. We run ordinary least squares regressions for each year t from 1987 to 2004. The coefficients are
the averages of those regressions across years.
The coefficients on the intercept and the industry (defined by two-digit SIC code) dummies are suppressed to save space. t-statistics are reported in parentheses.
***, **, * denote significance at the 0.01, 0.05, and 0.1 levels, respectively.
47
Table 7
Sensitivities of DDACF, t+1 with respect to M/V
Non-S&P 1500 companies S&P 1500 companies
Variables X X = Q1 X = Q3 X = Q1 X = Q3
Size t 0.1007 0.0302 0.0202 0.0002
ROA t+1 0.0865 0.0546 0.0283 -0.0005
KZt 0.0602 0.0742 0.0115 0.0096
M/V is the market-to-fundamental value of equity and measures the extent of overvaluation. The fundamental value (V) is estimated from regressions. The sample
is comprised of firm-year observations that are covered by COMPUSTAT and CRSP. We run ordinary least squares regressions for each year t from 1987 to 2004.
The discretionary accruals are residuals of cross-sectional regressions estimated for each year and each two-digit SIC code industry using the entire COMPUSTAT
data with the DD model (DDACF; Dechow and Dichev, 2002), where the accruals are constructed from items on the cash flow statement. The dependent variable is
DDACF, t+1, and the independent variables are M/V in year t, ROA in year t+1, DDACF, t, firm size (the natural log of the market capitalization) at the end of year t,
the KZ index (measures the degree of equity dependence) in year t, and the interaction terms between M/V and ROA in year t+1, firm size, the KZ index, and the
industries (defined by two-digit SIC code) dummies i.e. Models 3 in Panel A in Table 6. The sensitivities are the unit change of the quartile deviation of the accruals
with respect to per-unit change of a quartile deviation of M/V, where a quartile deviation is one-half of the difference between the 75th percentile and the 25th
percentile. Specifically, we calculate the differences between the fitted accruals—those given the M/V is at the 75th percentile, the variable X (firm size, return on
assets, or KZ index) is at the 25th (or 75th) percentile, and the other variables are at the median, and those given M/V is at the 25th percentile, the variable X is at
the 25th (or 75th) percentile, and the other variables are at the median. The sensitivity is the fitted accrual difference divided by two times one quartile deviation of
the accrual.
Table 8
Regression analysis based on alternative estimates of earnings management
Dependent Variable (M/V)t
(× 103)
(M/V)t *Size t
(×103)
(M/V)t *ROAt+1
(× 103)
(M/V)t *KZt
(× 103)
Avg.
R2
Avg.
N
Panel A: S&P 1500 companies
JACF, t+1 17.63 –1.11 –25.72 –0.28 0.23 703
(1.06) (–1.00) (–1.26) (–0.33)
MJACF, t+1 18.71 –1.21 –25.48 –0.14 0.24 703
(1.05) (–0.98) (–1.13) (–0.17)
CFOACF, t+1 9.41 –0.63 –26.26 –0.25 0.25 707
(1.14) (–1.09) (–1.58) (–0.42)
MJABS, t+1 48.47 –3.65 6.15 0.34 0.07 703
(0.89) (–0.93) (0.51) (0.50)
ABPRODACF, t+1 –4.94 –0.17 –20.14 0.70 0.75 843
(–0.35) (–0.18) (–1.55) (1.02)
ABOCFACF, t+1 2.89 –0.31 –16.60 33.75 0.65 770
(0.22) (–0.36) (–1.55) (1.38)
ABDISEXPACF, t+1 19.10 –1.45 –21.81 0.43 0.73 692
(0.86) (–0.96) (–1.39) (0.50)
Panel B: Non-S&P 1500 companies
JACF, t+1 37.72*** –2.72*** –24.19*** 1.00** 0.21 2,658
(6.89) (–5.91) (–5.14) (2.38)
MJACF, t+1 41.04*** –2.92*** –23.33*** 1.06** 0.22 2,658
(7.72) (–6.43) (–4.99) (2.15)
CFOACF, t+1 31.32*** –2.27*** –25.50*** 0.74** 0.16 2,534
(5.58) (–5.03) (–4.73) (2.08)
MJABS, t+1 35.97*** –2.69*** –8.32*** 0.57*** 0.08 2,658
(5.02) (–4.29) (–2.36) (1.67)
ABPRODACF, t+1 11.40 –1.35** –8.19* 0.83 0.45 2,773
(1.44) (–2.15) (-1.85) (0.93)
ABOCFACF, t+1 32.07*** –2.71*** –59.47*** 65.77*** 0.44 2,673
(4.44) (–4.87) (–5.55) (4.41)
ABDISEXPACF, t+1 –53.97*** 2.45 13.63 –3.74*** 0.43 2,613
(–3.19) (1.55) (1.45) (–4.07)
M/V is the market-to-fundamental value of equity and measures the extent of overvaluation. The fundamental value
(V) is estimated from regressions. The sample is comprised of firm-year observations that are covered by
COMPUSTAT and CRSP. The dependent variables are the discretionary accruals, respectively the residuals of
cross-sectional regressions estimated for each year and each two-digit SIC code industry using the entire
COMPUSTAT data with the Jones (1991) model (JACF), the modified Jones model (MJACF and MJABS; Dechow et al.,
1995), the CFO model (CFOACF; Dechow et al., 1998), where the accruals are constructed from items of either the
cash flow statement or the balance sheet. The abnormal production costs (ABPRODACF, t+1) are residuals of
cross-sectional regressions estimated for each year and each two-digit SIC code industry using the entire
COMPUSTAT data with the Roychowdhury (2006) model. The abnormal cash flow from operations (ABOCFACF, t+1)
49
and abnormal discretionary expenses (ABDISEXPACF, t+1) are negative one times residuals of cross-sectional
regressions estimated for each year and each two-digit SIC code industry using the entire COMPUSTAT data with the
Roychowdhury (2006) model.
The independent variables are M/V in year t, ROA in year t+1, DDACF, t, firm size (the natural log of the market
capitalization) at the end of year t, the KZ index (measures the degree of equity dependence) in year t, and the
interaction terms between M/V and ROA in year t+1, firm size, the KZ index, and the industries dummies, i.e. Models
3 in Panel A in Table 6. We run ordinary least squares regressions for each year t from 1987 to 2004. The coefficients
are the averages of those regressions across years.
Only the coefficients of M/V and the interaction terms are reported to save space. t-statistics are reported in
parentheses. ***, **, * denote significance at the 0.01, 0.05, and 0.1 levels, respectively.
Table 9
Regression analysis based on two different measures of fundamental value
(M/V)t
(× 103) ROAt+1
(M/V)t
*Size t (×10
3)
(M/V)t
*ROA t+1
(× 103)
(M/V)t
*KZt
(× 103) MJACF, t
Size t (× 10
3)
KZt
(×103)
Industry
Dummies Avg. R2 Avg. N
Panel A: Regression-based fundamental value
Model 1 –4.21*** 0.31*** 0.23*** –2.61*** 3.85*** Yes 0.20 1,328
(–4.23) (19.15) (24.96) (–4.57) (6.01)
Model 2 –1.51 0.37*** 0.08 –38.64*** –0.45 0.23*** –2.88*** 5.00*** Yes 0.20 1,328
(–0.30) (14.37) (0.20) (–3.24) (–0.92) (25.89) (–3.91) (5.37)
Panel B: Forecast-based fundamental value
Model 1 –0.79*** 0.32*** 0.23*** –3.10*** 3.73*** Yes 0.20 1,328
(–7.66) (18.35) (25.13) (–7.09) (5.21)
Model 2 1.62** 0.36*** –0.11 –7.26*** –0.10 0.23*** –2.73*** 4.70*** Yes 0.21 1,328
(2.07) (17.82) (–1.63) (–4.63) (–0.95) (25.04) (–6.24) (6.27)
M/V is the market-to-fundamental value of equity and measures the extent of overvaluation. The fundamental value (V) is estimated from respectively regressions
and the analysts’ consensus forecasts. The discretionary accruals are residuals of cross-sectional regressions estimated for each year and each two-digit SIC code
industry using the entire COMPUSTAT data with the DD model (DDACF; Dechow and Dichev, 2002), where the accruals are constructed from items on the cash
flow statement. The sample is comprised of firm-year observations that are covered by COMPUSTAT, CRSP and I/B/E/S databases. Firm size is the natural log of
the market capitalization at the end of each fiscal year. The KZ index measures the degree of equity dependence. We run ordinary least squares regressions for each
year t from 1987 to 2004. The coefficients are the averages of those regressions across years.
The coefficients on the intercept and the industry (defined by two-digit SIC code) dummies are suppressed to save space. t-statistics are reported in parentheses.
***, **, * denote significance at the 0.01, 0.05, and 0.1 levels, respectively.