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Non-Executive Stock Options and Firm Performance*
Yael V. HochbergKellogg School of Management
Northwestern University
Laura LindseyW. P. Carey School of Business
Arizona State University
This Version: August 31, 2007
PRELIMINARY AND INCOMPLETECOMMENTS WELCOMEPLEASE DO NOT CITE
We examine whether options granted to rank and file employees affect the performanceof the firm by exploring the link between option portfolio implied incentives and firm operatingperformance. We employ an instrumental variables approach that combines information about thelabor market characteristics in which firms compete with information on firm option programsfrom the IRRC to identify causal effects. Firms whose non-executive employee option portfolioshave higher implied incentives exhibit higher subsequent operating performance. Consistent witheconomic theories, the incentive-performance effect is larger in smaller firms and in firms withhigher growth opportunities. Additionally, the incentive-performance effect is concentrated solelyin firms that grant options broadly to non-executive employees. Our results suggest that free-riding does not dominate incentives for options programs and are consistent with non-executiveoptions inducing mutual monitoring among co-workers.
* Hochberg is with the Kellogg School of Management, Northwestern University, 2001 Sheridan Road,Evanston, IL 60208-2001, [email protected]. Lindsey is with the W.P. CareySchool of Business, Arizona State University, P.O. Box 873906, Tempe, AZ 85207-3906,[email protected]. The authors thank Jeff Coles, Carola Frydman, Stuart Gillan, Yaniv Grinstein,Cami Kuhnen Spencer Martin, Lalitha Naveen, Mark Nelson, Paul Oyer, Michael Waldman andseminar participants at Arizona State University for helpful discussions and comments. The authors aregrateful for financial support from the Financial Services Exchange and from the Searle Center atNorthwestern University Law School. All errors are our own.
1
1. Introduction
Over the last two decades, the granting of company stock options to non-
executive employees has become an important and increasingly common component of
compensation policy1 (Mehran and Tracy (2001), Murphy (2003)). While there is a vast
academic literature addressing option compensation for executive employees, there have
been comparatively few papers on the use of option grants as compensation for non-
executive employees. Most existing work focuses on the rationales for use of these
options in the workplace2. In this study, we address an open question in the literature:
whether stock options granted to rank and file employees affect the resulting performance
of the firm.
Typically, accepted economic wisdom is that while options may be granted due to
financial constraints or labor market considerations, they are unlikely to have an effect on
performance beyond these channels. Most theoretical treatments of non-executive option
programs argue that free-riding among employees will outweigh any incentive effects, as
the option grants align the incentives of the worker with increasing the value of the whole
firm rather than with individual performance (Core and Guay (2001), Oyer (2004), Oyer
and Schaefer (2005a)). When employees are compensated for joint performance
improvements, they share the rewards from higher effort, resulting in dilution of worker
incentives and mitigation of additional effort (Alchian and Demsetz (1972)). Therefore,
as non-executive options are granted across the firm, free-riding would be expected to
preclude any performance effects. 3 An alternative literature, however, suggests that non-
executive options may induce mutual monitoring among co-workers (Baker, Jensen and
Murphy (1988)). If employees jointly agree to exert high effort, and monitor their
colleagues in order to enforce such collusion, the incentive for the individual worker to
exert effort will increase. In this mutual monitoring scenario, while it is clear that hiring
and retention, as well as firm financial constraints, may still motivate option grants, using
1 The National Center for Employee Ownership (NCEO) estimates that as of the year 2005, 4000 U.S.companies had broad-based stock option plans, defined as plans that grant options to 50% or more ofcompany employees.2 Oyer and Schaefer (2005a) and Ittner, Lambert and Larcker (2003), for example, argue that sorting andretention motives appear to be consistent with empirical data. Others, such as Core and Guay (2001), arguethat firms grant options due to cash and other financial constraints.3 In fact, under conventional methods for measuring such programs, we document that non-executiveoptions are granted quite broadly, with 44% of firms in our sample demonstrating broad-based programs.
2
equity based compensation may then have incentive effects, especially if such plans are
broad-based.
Exploring the impact of options on firm performance empirically is nontrivial. To
isolate the effect of non-executive stock options on firm performance, we must carefully
control for the endogenous nature of the existence and scope of these plans. Our models
employ an instrumental variables (IV) approach that centers on determinants of option
grants and incentives that are unlikely to be related to our measures of operating
performance.
Much of the prior empirical literature on non-executive employee stock options
has employed measures of annual stock option grants to rank-and-file employees. We can
more directly capture the incentives implied by a non-executive option plan by looking at
the total sensitivity of the value of the firm’s outstanding non-executive options to an
increase in the underlying value of a firm’s stock. One of the constraints in the prior
literature in this area has been that ExecuComp, a typical source for options data, only
allows the researcher to infer grants to non-executive employees, rather than the basic
characteristics of the entire portfolio of outstanding options. Using new data from the
Investor Responsibility Research Center’s (IRRC) Dilution Database, we are able to
observe the total options outstanding for a broad panel of firms. This allows us to look
directly at the entire portfolio of outstanding rank-and-file employee options, and to
obtain a measure of implied incentives, rather than relying on proxies for grants.
For our measure of implied rank-and-file incentives from outstanding options, we
calculate the total sensitivity of the firm’s non-executive options to an increase in the
underlying value of a firm’s stock, i.e. the cumulative delta of the firm’s non-executive
options. We examine the relationship between this incentive measure and subsequent
firm operating performance, as measured by the firm’s return on assets (ROA) and cash
flow to assets (CFA). Controlling for the potential endogeneity of non-executive stock
option incentives, we find that these incentives exert a positive effect on firm
performance. This positive effect of the implied option incentives on subsequent firm
performance suggests that free-riding stemming from an individual employee’s inability
to substantially affect firm value or profits on his own may not outweigh the incentive
3
effect provided by stock options in this setting, and is consistent with mutual monitoring
among co-workers overcoming the free-riding problem.4
Next, we attempt to ascertain where the positive relationship between option
incentives and firm performance is most effective. Free-riding is aggravated in large
firms (Holmstrom (1982)). In smaller firms, employees share the rewards for their efforts
with fewer colleagues, thus reducing the free-riding problem. At the same time, mutual
monitoring, which may counteract free-riding, is likely to be less effective in large firms,
as employees in large groups may be less able to observe each other’s efforts and less
willing to incure the costs associated with monitoring and sanctioning their fellow
workers (Heckathorn (1988), Kandel and Lazear (1992)). Thus, we expect any incentives
from non-executive options to be most effective in smaller firms, and particularly so if
free-riding is a dominant factor. When we segment our sample into smaller and larger
firms, however, we find that the relation between incentives and performance is not
confined to smaller firms, though the effect is larger for smaller firms than for larger
ones.
Similarly, incentives from options should be most effective in firms where
employee effort is more likely to have a significant effect on creating real value. In firms
with higher growth opportunities, the impact of any one worker’s effort is greater, and the
rewards to be split with colleagues from obtaining a performance improvement are
greater, thus strengthening the incentive to monitor and sanction colleagues. We segment
our sample into firms with high and low growth opportunities per employee (Core and
Guay (2001)) and repeat our analysis. We find that non-executive option incentives exert
a significant positive influence on performance in firms with higher growth opportunities,
but not in firms with lower growth options.
The above findings suggest that mutual monitoring may outweigh free-riding.
The incentive for workers to exert effort should be higher when the joint performance
goal on the basis of which they will be compensated is dependent on other workers who
do receive similar incentive compensation. In many firms, options are granted broadly, to
most, if not all employees (Oyer and Schaefer (2005)). In other firms, option grants to
4 Labor market considerations might result in more sensitive pay for performance attracting higher qualityworkers. In this case, delta may not capture a pure incentive effect, but the results still represent a causalrelation between delta and subsequent performance.
4
non-executive employees are targeted towards specific workers or groups of workers.
When options are targeted, rather than granted broadly, workers may be less likely to
work hard, since the individual worker cannot expect to have a significant effect on the
performance of the firm as a whole, and the worker is aware that other employees may
not have similar incentives. Similarly, mutual monitoring is more likely to occur when
workers know all have similar incentives, and therefore can jointly decide to maximize
total gains by exerting effort and sanctioning those who deviate from the group
agreement. Thus, mutual monitoring is more likely to obtain in firms where options are
granted broadly. Taken together, we expect to see a stronger relationship between option
incentives and performance in firms that broadly grant options. When we examine the
relationship between operating performance and the existence of broad-based option
grants in the cross-section of firms, we find that both a naïve OLS modeling of the
relationship and the IV approach observe a positive relationship between broad option
grants to non-executive employees and subsequent operating performance. We then
interact option portfolio incentives with an indicator for broad-based grants to non-
executive employees. We find that incentive effects are significantly and positively
related to performance only for the group of firms with broad-based plans. We consider it
unlikely that the existence of a broad-based program is merely a proxy for high
incentives, for two reasons. First, having a broad-based program is determined by a
firm’s grants in a particular year, whereas the option portfolio incentives are calculated
off the entire outstanding portfolio of non-executive options. Second, we observe no
statistical difference between the incentives implied by the options outstanding for firms
segmented by whether they have broad-based plan.
Our findings provide new insights into this expanding form of non-executive
compensation. To the best of our knowledge, this is the first study to document a causal
relationship between non-executive option portfolio incentives and firm performance.
Furthermore, our findings suggest that free-riding is unlikely to be the dominant effect in
this setting, and that option compensation can have a causal incentive effect on firm
performance. While free-riding may mitigate the incentive effects of option
compensation to some degree, an incentive effect remains, consistent with option
compensation inducing mutual monitoring among co-workers.
5
The remainder of the paper is organized as follows. Section 2 reviews the related
literature on non-executive stock options. In Section 3, we describe the data used in the
study and present some descriptive statistics. In Section 4, we present our empirical
analysis of the relationship between the implied incentives of non-executive stock option
portfolios and firm performance. In Section 5, we more closely examine free-riding and
mutual monitoring. In Section 6, we examine the incentive-performance relationship for
targeted and broad-based option plans. Section 7 concludes.
2. Related Literature
While there is a vast academic literature addressing option compensation for
executive employees (see Baker, Jensen and Murphy (1988), Murphy (1999) for an
overview), there have been comparatively few papers on the use of option grants as
compensation for non-executive employees. Early literature on broad based equity
compensation for non-executive workers examined stock price responses to the adoption
of employee stock purchase programs, and found positive responses to such
announcements (Bhagat, et al., 1985). In these cases, however, it is difficult to separate
any positive effects related to the adoption of the plan from potential signaling effects
about future company performance.
Kedia and Mozumdar (2002) examine the relationship between the total level of
firm stock option grants and firm stock market performance using a sample of 200 large
NASDAQ firms in 1999. However, in an efficient market, there is no particular reason to
expect a positive relationship between option grants and abnormal returns if option
granting behavior remains relatively constant over time. A more direct approach to
studying whether non-executive option programs affect performance is to look directly at
firm operating performance. By tying options measures to objective measures that are
not influenced by future expectations, we can obtain a clearer portrait of the effect that
non-executive option plans option programs have on the performance of firms and the
economy.
Sesil, Kroumova, Blasi and Kruse (2002) study differences in financial outcomes
for companies that do and do not grant stock options broadly. Ittner, Lambert and Larcker
(2003) study the determinants of grants in a sample of companies that employ option
6
plans and measure the success of these plans against the company’s stated objectives.
Both these studies treat the existence of the stock option plan as given. In contrast, our
work accounts for the endogenous nature of stock option plans. Oyer and Schaefer
(2005a) consider three possible economic justifications for broad-based option programs.
They conclude that sorting and retention appear to be most consistent with empirical data.
Core and Guay (2001), argue that firms grant options due to cash and other financial
constraints. Our approach takes advantage of the fact that grants may be related to sorting
and retention needs or firm financial constraints, and looks at the residual effects of these
options on firm performance.
Other papers on non-executive options plans include Oyer and Schaefer (2005b),
who compare observed stock option grant programs to hypothetical cash-only and
restricted stock-based plans, and reject tax-based favorable accounting explanations for
the granting of non-executive stock options. Oyer (2004) considers a model of broad-
based stock option grants that can explain the use and recent rise of broad-based stock
option plans even if these pay plans have no effect on employees’ on-the-job behavior.
Mehran and Tracy (2001) examine the effect of stock option exercises on employee
compensation in the 1990’s. Zhang (2002) investigates a market-valuation-based
hypothesis for employee stock options, and Liang and Weisbenner (2001) examine the
relationship between firm market valuation and option grants. Bergman and Jenter (2005)
analyze the relationship between option grants to non-executive employees and employee
optimism. Hand (2005) argues that compensating too few employees with options may
more negatively affect performance than granting too deeply. Landsman, Lang and Yeh
(2005) examine the determinants and consequences of the split of options between
executive and non-executive employees.
3. Description of Data
Our primary source of options data is the Investors Responsibility Research
Center (IRRC) Dilution Database. The IRRC Dilution database contains company option
plan information collected from public filings for firms in the S&P Super 1500,
composed of the S&P 500, S&P midcap 400, and the S&P small cap 600. Coverage
begins in 1997, and extends through 2004, with each year of coverage providing
7
information on the prior year’s stock option plans.5 The IRRC collects information on
year-end outstanding grants, weighted average exercise price of options outstanding and
weighted average contractual life of outstanding options, as well as information on new
grants and option exercises.
To isolate information on the option portfolios of non-executive employees, we
match information on the option plan as a whole with information on grants and options
outstanding for top executives contained in the Compustat’s ExecuComp Database.
Previous studies of non-executive options have employed either small samples of hand-
collected data or data from Compustat’s ExecuComp. ExecuComp, however, only
provides information on new grants to executives and the percentage of total grants to all
employees represented by these grants to executives, and does not provide data on the
total option portfolio outstanding. Thus, data from ExecuComp alone can provide
information on new grants to non-executive employees, but does not allow the researcher
to examine measures related to the total portfolio of options outstanding for rank and file
employees. The IRRC Dilution database, on the other hand, allows us to track the entire
portfolio of outstanding options.
We obtain data on firm operating performance and other financial characteristics
from Compustat. We use CRSP data to obtain risk-free rates. Data on industry level
labor turnover is obtained from the Bureau of Labor Statistics and data on education
levels by geographic region is obtained from the Census Bureau 2000 Census.
3.1 Dependent Variables
As a measure of incentives implied by a firm’s portfolio of non-executive stock
options, we compute the cumulative option delta, the change in employee wealth for a
1% change in stock price, for each firm, for the firm’s non-executive option portfolio
outstanding at the end of the year. We use the one-year estimation method for portfolio
incentives outlined in Core and Guay (2002).6 We calculate the incentive measure for the
total portfolio of options for all employees using the aggregate number of options
5 Because each year of data from IRRC contains two years of lagged data when available for variables ofinterest, we purchase each 3rd year of data beginning in 1997. As such, our sample approximates the S&P1500.6 Core and Guay (2002)’s ‘One-year Approximation’ (OA) method values stock options using the BlackScholes (1973) model, as modified by Merton (1973) to account for dividend payouts.
8
outstanding and their associated characteristics at the end of each year.7 Similarly, we
calculate the incentive measure for the portfolio of options held by the top five
executives. We then subtract the executive incentives measure from the total incentives
measure to obtain the portfolio incentives measure, or DELTA, for the option portfolio of
non-executive employees.8
Presumably, free-riding among employees will be less of a concern, and mutual
monitoring more likely, in smaller firms, firms where growth are opportunities are larger,
and where the growth of the firm is more likely to be affected by any individual worker.
We interact our measure of incentives with indicator variables based on above or below
median measures of these characteristics. The number of employees is used to capture
this aspect of firm size. We employ firm market-to-book ratio as a measure of overall
growth opportunities. To proxy for the influence an individual worker may have, we
calculate growth options per employee as in Core and Guay (2001), defined as the market
value of equity minus the book value of equity, divided by the number of employees.
To determine if a firm’s non-executive stock option program is broad-based, i.e.
grants options to over 50% of employees, we follow the criterion described in Oyer and
Schaefer (2005). Because many firms have more than five very high ranking employees,
which is the required threshold for detailed option compensation reporting, defining non-
executive options as all options granted to employees other than the five most highly
compensated executives tends to overstate the level of option grants and incentives for
non-executive employees, particularly those in large firms. Oyer and Schaefer (2005),
calibrating from a data set where they can observe option program eligibility directly,
assume that the top 10% of employees receive an option grant one-tenth as large as the
grants received by the 2nd through 5th most highly paid employees in the firm. They
classify a program as broad-based if the residual grants to employees after this
7 Our data source does not separate aggregate options information by exercisable and non-exercisableoptions. In essence, we assume all are exercisable at the average time to expiration.8 We compute two such measures for portfolio incentives: one that is the cumulative incentives for allemployees other than the top five executive officers, and one allowing an adjustment for other executivesbeyond the top five. The adjustment for high ranking employees follows the logic described in Oyer andSchaefer (2005); here, we assume the top 10% of employees hold a portfolio one tenth as large as theportfolios of the second through fifth most highly paid employees. For brevity, we report results using onlythe first measure, however we obtain similar results using the second measure as well.
9
adjustment exceed 0.5% of the shares outstanding. We define our variable BroadPlan
accordingly, and also interact it with our measure of portfolio incentives.
We examine two measures of operating performance. Our first measure of
performance is operating return on assets before depreciation. Barber & Lyon (1996)
argue that this measure is the preferred measure of operating performance because it is
unaffected by leverage, extraordinary items, discretionary expenditures, or depreciation
policy. Our second measure is cash flow deflated by assets. For each firm, we compute
both industry-adjusted ROA (CFA), which is the difference between the firm’s ROA
(CFA) in a given year and the industry median (defined using the Fama-French 30
industry classification), and normalized industry-adjusted ROA (CFA), which is the
percentage difference between the firm’s ROA (CFA) in a given year and the industry
median. A natural concern might be that these measures are mechanically higher for
firms employing option compensation given the accounting treatment of such plans. We
recalculate these measures subtracting out the Black-Scholes value of the option grants
from the numerator and our results are robust to this alternative treatment.
3.2 Instruments
To draw causal inferences about the impact of non-executive options on firm
performance, we must treat the incentives implied by the options as endogenous. The
extent to which firms grant options to non-executive employees is affected by
characteristics of the firm and the marketplace that may also affect operating
performance. Failing to correct for this fact in our models could lead to inconsistent
estimation and misleading inference. We therefore consider a number of instruments for
the implied incentives of rank and file option plans. Our instruments are positively
correlated with the extent of options grants to non-executive employees (and their
implied incentives), but are unlikely to affect year over year industry-adjusted operating
performance directly. 9
One of the rationales offered for the granting of non-executive options is the
retention of employees. Therefore, we employ a measure of annual average industry
turnover by two-digit SIC code taken from the Bureau of Labor Statistics Job Openings
9 Ultimately, this is an empirical question, and our tests suggest the instruments are exogenous.
10
and Labor Turnover Survey. This aggregate measure can be taken as exogenous to the
individual firm. Additionally, if options for non-executives are thought be a means for
companies to attract and retain employees, especially in jobs where human capital is
important, option plans may be correlated with education levels in the geographic region
where the company competes for employees. As a measure of labor market
competitiveness along this dimension, we compute using 2000 Census Data the natural
log of the number of masters degrees held by the male population in the region of the
company’s headquarters location, defined by two-digit zip code.10 Also, since the
number of employees will likely increase the aggregate incentives offered (and, later,
likely decrease the probability of a broad plan), we include the natural log of the number
of employees as an instrument.
Note that our objective in this exercise is to identify exogenous instruments that
are correlated with the incentives implied by the outstanding non-executive option
portfolio. Our goal is not to identify (nor do we econometrically require) all factors that
may influence broad granting of options or option portfolio incentives. Rather, we seek to
build an instrumental variables model that will allow us to properly identify causal effects
of broad-based plans or option incentives on performance.
3.3 Control Variables
To isolate the performance effects of non-executive stock options, we must first
control for a variety of firm characteristics that may affect the operating performance of
the firm, and in some cases, the granting of options as well. Larger firms and older firms
may have different operating performance characteristics than smaller or younger firms.
We control for firm size using the natural log of market value of assets, defined as the
market value of equity plus the book value of assets. We control for the age of a firm
using the natural log of the number of years the firm has been publicly traded. Marginal
corporate tax rates may also affect the tendency to grant options (Yermack (1995),
Dechow, Hutton and Sloan (1996), Hall and Liebman (2000)) and likely affect our after-
tax measure of performance. Option compensation should be more costly for firms with
10 Results are robust to using a variety of other measures of educational attainment as well, such as thenumber or percent of the population (male or total) with college or post-college degrees.
11
high marginal tax rates. Firms receive an immediate tax deduction for cash compensation,
as opposed to the future tax deduction from deferred compensation instruments such as
options. We define indicator variables for firms facing high (HMT) or low (LMT)
marginal tax rates as in Core and Guay (2001). HMT takes the value of one if the firm
has positive income and no net operating loss carryforwards in any of the previous three
years, and zero otherwise; LMT takes the value of one if the firm has negative taxable
income and net operating loss carryforwards in each of the previous three years, and zero
otherwise. To capture the effects of the tax shields provided by debt, we include an
indicator variable for the existence of long-term debt. Further, option grants and
performance are both influenced by a company’s research intensity. We therefore
include the three-year average of R&D expenditures as a control variable. Bushman,
Indjejikian, and Smith (1995) suggest that interdependencies among operating units, and
therefore aggregate performance measures, increase with firm inter-segment sales, and
decrease with greater product market and geographic diversification. We control for the
ratio of inter-segment sales to total net sales for the firm. Using data from the Compustat
segments file, we define product diversification as ∑i Pi*ln(1/Pi), where Pi is the dollar
sales of product i divided by total firm sales. Geographic diversification is similarly
defined, as ∑i Gi*ln(1/Gi), where Gi is the dollar value of sales for geographic region i
divided by total firm sales.
While it is unlikely that non-executive employees can effectively shift the risk
profile of the firm, recent studies suggest that executive incentive contracts may have
such an effect in addition to providing incentives (Coles, Daniel, and Naveen (2007)). We
therefore include a measure for the portfolio delta for the top five executives (the
sensitivity of executive wealth to changes in stock price) and vega (the sensitivity of
executive wealth to changes in stock price volatility). Finally, we include year fixed
effects.
An important aspect of our research design is that we do not ask whether broad-
based plans or non-executive option portfolio incentives are priced. Instead, we focus on
the question of how these option plan characteristics affect the operating performance of
the firm. Accordingly, we do not include stock performance related variables in our
analysis. If we were to include such variables, which may already incorporate market
12
pricing of these instruments, we may not discern a performance effect simply because it
is already priced into market-related controls.
Table 1 presents the mean and standard deviation of each of the above variables
for the full sample. Of the 8606 firm-year observations, 43.7% are from firms that grant
options broadly to employees. We can calculate the non-executive option portfolio
incentives measure for 5553 of these firm-year observations. Our three instrumental
variables are available for 7970 of the firm-year observations.
4. Non-Executive Option Incentives and Firm Performance
We begin by examining the effect of the incentives implied by the total
outstanding non-executive employee option portfolio on realized firm operating
performance. To draw causal inferences, we address the fact that non-executive option
grants are endogenously determined by other factors that may be related to firm
performance.
To provide a benchmark, we first estimate a naïve OLS model of the relationship
between firm performance and the implied incentives of the outstanding option portfolio.
The dependent variable is one of four measures of firm operating performance: industry-
adjusted ROA, normalized industry-adjusted ROA, industry-adjusted CFA, and
normalized industry-adjusted CFA. The main explanatory variable of interest is the
existence of a broad-based stock option plan. Our dataset is an unbalanced panel.
Standard errors are White (1980) heteroskedastic-consistent, clustered at the firm level.
As controls, we include firm operating performance in year t-1, prior 3 year average
R&D expenditures, firm long term debt in year t-1 , firm size, firm product
diversification, firm geographic diversification, firm inter-segment relatedness, the
indicator for low marginal tax rate, the indicator for high marginal tax rate, portfolio delta
of the option portfolio of the top five executives in the firm, and portfolio vega of the
option portfolio of the top five executives in the firm11. We also include year fixed
effects. In all four models, we observe a non-negative relationship between option
incentives and firm performance, though pnly the CFA specifications produce a
11 We note that the coefficients on the last 2 variables should be regarded as correlations throughout theanalysis.
13
statistically significant coefficient. As they can not be interpreted in a causal fashion, for
the sake of brevity, we do not report these estimates in table form.
While our benchmark estimates in the naïve OLS model suggest a possible
positive relationship between the existence of a broad-based non-executive stock option
plan and subsequent firm operating performance, before drawing causal inferences, we
must address the concern that option grants are endogenous. To do this, we employ an IV
approach, where the first stage model predicts the implied option incentive measure using
the exogenous instruments described in Section 3.3 and all explanatory variables from the
performance equation, and the second stage model predicts firm performance.
Table 2 presents the estimates from our IV models for operating performance. In
Panel A, we present OLS regressions of our incentives measure on our three proposed
instruments one at a time and all together. Our instruments appear to be well-correlated
with our endogenous variable. Our proposed instruments have differential power for
predicting the implied incentives of the option portfolio. Both the natural logarithm of the
number of employees in the firm and the geographic education level are significantly and
positively related to our incentives measure, both when used as the sole dependent
variable and when used in concert with our other instruments and industry controls. In
contrast, industry turnover does not appear to be significantly related to implied non-
executive option plan incentives.12
Staiger and Stock (1997) note that having valid instruments that meet the
exclusion restriction is not sufficient to ensure consistent two-stage estimators in finite
samples. The instruments also have to be ‘strong’ in the sense that they correlate
‘strongly’ with the endogenous first-stage variable. Staiger and Stock recommend a
critical value of 10 in an F-test for the joint significance of the instruments in the first
stage. An F statistic for the joint significance of all instruments exceeds the Staiger and
Stock (1997) critical value, suggesting our instruments are collectively strong.
We can now examine the determinants of firm operating performance. The
dependent variables are our four measures of operating performance used in the naïve
OLS models above, namely industry-adjusted ROA, normalized industry-adjusted ROA,
12 Our results are robust to the exclusion of this instrument, but we keep it in order to have a consistent setof instruments across specifications.
14
industry-adjusted CFA and normalized industry-adjusted CFA. (We will refer to these
variables as normalized and non-normalized ROA and CFA for the remainder of the
paper.)
Panel B of Table 2 presents the results of our full two-equation IV model
estimations. The dependent variables are our four measures of operating performance,
described in Section 2.2. The main explanatory variable of interest is NON-EXECUTIVE
DELTA, the delta of the firm’s non-executive option portfolio. The control variables are
as outlined for the benchmark OLS above.13 We estimate the four IV models using
GMM. Standard errors are White (1980) heteroskedastic-consistent, clustered by firm.
All four models appear to be well-specified. The uncentered R-squared ranges
from 31.84% for the model for normalized CFA, to 62.45% for the model for ROA.
Hansen J test statistics for over-identification of all instruments fail to reject the null of
valid instruments across all four models. Anderson canonical correlations likelihood ratio
tests for under-identification, which test that the instruments are relevant, reject the null
of irrelevance at the 1% level. The Shea partial R-square test (unreported) indicates the
excluded instruments increase explanatory power at over 99% confidence.
The estimates from the models support the hypothesis that the implied incentives
of the option portfolio affect firm operating performance. The coefficient on non-
executive option portfolio delta is positive and statistically significant. The economic
effect is non-negligible: a one-standard deviation change in our incentives measure
implies an increase of 12.34% in normalized ROA, and an increase of 1.48% in non-
normalized ROA. The magnitudes of the effects on CFA are larger: 26.11% increase in
normalized CFA and 1.98% increase in non-normalized CFA for a one standard deviation
increase in the incentives measure. The coefficients on the control variables are primarily
as expected. Average R&D expenditure is significantly and negatively related to firm
operating performance, while the existence of long term debt is significantly and
positively associated with performance. Larger firms have lower performance, as do
firms with greater geographic diversification. The delta of the top five executives option
portfolio is significantly and positively related to performance, while the vega of said
13 We also include industry fixed effects, which will be redundant in the industry-adjusted performanceequation, but not in the non-executive delta equation.
15
portfolio is significantly and negatively related to performance. Other controls, such as
product market diversification, intersegment relationships, marginal tax rates and the age
of the firm, observe no significant relationship to performance in the models.
The estimates from the four models are consistent with a positive, causal effect of
option portfolio incentives on firm operating performance, suggesting that free-riding
may not be the dominant force in determining the effect of non-executive stock options.
To further explore this finding, we now turn to a closer examination of the free-riding and
mutual monitoring hypotheses.
5. Free-Riding and Mutual Monitoring
The fact that the implied incentives of the non-executive option portfolio
positively affects firm operating performance could be considered surprising. Non-
executive stock options may be granted to hundreds or thousands of employees, each of
whom individually is likely to have a negligible impact on overall firm performance. In
accepted economic wisdom, such conditions are generally expected to favor free-riding,
and to limit mutual monitoring. To further explore this issue, we segment our sample on
measures that are likely to be related to the incentives to free-ride or to encourage mutual
monitoring: the size of the firm, the growth opportunities of the firm, and the growth
options per employee at the firm.
In general, the incremental likelihood that an individual worker’s wealth will
increase through his option compensation if the worker exerts effort is expected to be a
decreasing function of firm size, as overall performance is less sensitive to the actions of
individual workers in larger firms. The larger is the firm, the greater the free-rider
problem. Furthermore, compensation based on firm-wide performance introduces
externalities between the efforts of individual workers and the welfare of their colleagues.
If a worker exerts low effort, he not only reduces the likelihood that he will receive an
increase in his wealth from his options, but also the likelihood that other employees will
receive a wealth increase. This creates incentives for employees to monitor their
colleagues and encourage them to exert more effort. However, as noted by Knez and
Simester (2001), mutual monitoring induces a second order free-riding problem (wherein
workers free-ride on their colleagues monitoring efforts), and the larger the firm, the
16
greater this second-order free-riding problem. Hence, mutual monitoring may be less
effective in larger firms.
As the free-rider problem is greater in larger organizations, and mutual
monitoring may be less effective in large firms, we may expect the incentive-
performance effect documented in the previous section to be confined to smaller firms.
To test this hypothesis, we segment our sample at the median number of employees, and
re-estimate our models, allowing the coefficient on our measure of non-executive delta to
differ for firms with above- and below-median labor force size.
The results of our estimation are presented in the first two columns of Table 3. In
Panel A the dependent variables are ROA and normalized ROA, and in Panel B the
dependent variables are CFA and normalized CFA. All estimates are taken from IV
models, with the first stage model for incentives as described in Section 4. Once again,
the models appear to be well-specified. Uncentered R-squared is higher in the ROA
models than in the CFA models, ranging from 11.77% for non-normalized CFA to
57.58% for ROA. Similarly, IV diagnostics support our choice of instrumental variables.
Hansen J test statistics for over-identification of all instruments fail to reject the null of
valid instruments in both sets of models. Anderson canonical correlations likelihood ratio
tests for under-identification reject the null at the 1% level in both models, and the partial
R-square test for lack of explanatory power rejects at the 5% level.
The results in both sets of models are similar: while our incentive measure has a
positive, statistically significant effect in both smaller and larger firms, this effect is much
greater in smaller firms. A one standard deviation change in implied incentives for small
firms produces a 2.38% increase in industry-adjusted ROA and a 21.02% increase in
normalized ROA. In contrast, a similar change in the incentives measure for larger firms
produces only a 1.45% increase in ROA and an 11.69% increase in normalized ROA.
Economic significance of similar magnitudes is observed for the CFA models. Tests of
differences in the coefficients show the coefficient on incentives for smaller firms to be
statistically significantly different than for larger firms at the 5% and 1% levels
respectively for ROA and CFA, and at the 10% and 1% levels respectively for
normalized ROA and CFA.
17
In similar fashion, one might expect that free-riding would be weaker, and co-
worker monitoring more likely, in firms where the ability of any individual worker to
influence the overall success of the firm is higher. The idea is that individual effort may
have a more significant effect on creating real value. To explore this hypothesis, we
segment our sample based on high and low growth opportunities, as well as high and low
growth options per employee. We proxy for growth opportunities using the firm’s
market-to-book ratio. Growth options per employee are calculated as in Core and Guay
(2001). We allow the coefficient on our measure of implied incentives to differ for firms
with above-and below-median growth options, or growth options per employee, and re-
estimate our models.
The results are presented in the final four columns of Panels A and B of Table 5.
All estimates are taken from IV models, with the first stage model for incentives as
described in Section 4. As in our previous estimations, the models appear to be well-
specified. Uncentered R-squared ranges from 28.57% for normalized CFA to 61.53% for
ROA. IV diagnostics again support our choice of instrumental variables. Hansen J test
statistics for over-identification of all instruments fail to reject the null of valid
instruments in both sets of models. Anderson canonical correlations likelihood ratio tests
for under-identification reject the null at the 1% level in both models, as does the partial
R-square test for lack of explanatory power.
The results from the estimations are consistent with the notion that free-riding
may be weaker and co-worker monitoring may be more likely in firms with higher
growth opportunities and with higher growth options per employee. Columns three and
four of Panels A and B show that the performance effect of option incentives is
concentrated in firms with high growth opportunities. For firms with above-median
market-to-book ratios, a one-standard deviation change in incentives implies a 15.58%
increase in normalized ROA and a 1.87% increase in ROA, both statistically significant
at the 5% level. The marginal effects for high growth firm option incentives are slightly
higher in the CFA models, with a one-standard deviation change in incentives implying
an 27.4% increase in normalized CFA and a 2.37% increase in CFA for high growth
firms. In contrast, the coefficients on incentives for low growth firms are in fact slightly
negative in both the ROA and CFA models, and are not statistically significant. A test for
18
differences in coefficients finds the coefficients on the incentives measure for high
growth firms to be statistically significantly larger than for low growth firms at the 10%
level for both ROA models and the non-normalized CFA model.
A similar picture is seen in columns five and six, where the sample is segmented
based on growth options per employee. Here, a one-standard deviation change in
incentives for firms with high growth options per employee implies an 1.75% increase in
normalized ROA and a 1.97% increase in ROA, both significant at the 5% level. The
corresponding marginal effects for the CFA models are 32.81% and 2.86%, both
significant at the 1% level. Once again, the coefficients on incentives for low growth
options per employee firms are slightly negative and not statistically significant. A test
for differences in coefficients finds the coefficients on the incentives measure for high
growth firms to be statistically significantly larger than for low growth firms at the 5%
level for both ROA models and at the 1% level for both the CFA models. The partial R-
square test for lack of explanatory power rejects at the 1% level for all of the models.
6. Targeted and Broad-Based Option Plans
In many firms, options are granted broadly, to most, if not all employees (Oyer
and Schaefer (2005)). In other firms, option grants to non-executive employees are
targeted towards specific workers or groups of workers. Mutual monitoring is more likely
to occur when workers know all have similar incentives, and therefore can jointly decide
to maximize total gains by exerting effort and sanctioning those who deviate from the
group agreement. Thus, mutual monitoring is more likely to obtain in firms where
options are granted broadly. Taken together, we expect that any relationship between
non-executive options and subsequent firm performance may be concentrated in firms
that broadly grant options, and we expect to see a stronger relationship between the
incentives implied by these options and performance in firms with broad-based option
plans.
Table 4 presents the mean and standard deviation of each of the dependent,
independent and control variables for firm-years with and without BroadPlans, as well as
the p-value from a difference of means test across the two sub-samples. In the
univariate, industry-adjusted performance measures (ROA and CFA) are higher for firms
19
with broad-based option plans. As one might expect, these firms are generally smaller, as
measured by both assets and number of employees, are younger, have higher R&D
expenditures, and lower incidences of long-term debt. There is no difference in
incidences of high or low marginal tax rates. Also, these firms have lower measures of
product diversification, higher measures of inter-segment relatedness, but no difference in
geographic diversification.
Further, the BroadPlan sub-sample is characterized by lower average industry
turnover and the firms are located in regions with slightly higher levels of education as
measured by the population with masters degrees. There is no difference in implied
incentives for the top-five executive as measured by option delta, but option vega is
higher for firms with broad-based plans. Interestingly, the total incentives implied by
non-executive options outstanding are not statistically different across the two sub-
samples.
We then turn to examining the effect of the existence of a broad-based stock
option program for non-executive employees on realized firm operating performance. To
draw causal inferences, we again address the fact that the extent of option programs (in
addition to the incentives implied by the outstanding portfolio) are endogenously
determined by other factors that may be related to firm performance.
To provide a benchmark, we first estimate a naïve OLS model of the relationship
between firm performance and the existence of a broad-based option program. The
dependent variable is one of four measures of firm operating performance. The main
explanatory variable of interest is the existence of a broad-based stock option plan. Once
again, our dataset is an unbalanced panel. Standard errors are White (1980)
heteroskedastic-consistent, clustered at the firm level. As controls, we include firm
operating performance in year t-1, prior 3 year average R&D expenditures, firm long
term debt in year t-1, firm size, firm product diversification, firm geographic
diversification, firm inter-segment relatedness, the indicator for low marginal tax rate, the
indicator for high marginal tax rate, portfolio delta of the option portfolio of the top five
executives in the firm, and portfolio vega of the option portfolio of the top five executives
in the firm. We also include year fixed effects. We estimate models for our four measures
20
of operating performance. Overall, the models appear to be well-specified; the R2 range
from 39.7% for normalized CFA to 63.8% for ROA.
For brevity, we do not report the results in table format. In all four models, we
observe a statistically and economically significant and positive relationship between the
existence of a broad-based option program and firm operating performance. All else
equal, having a broad-based plan increases firm industry-adjusted ROA by 0.25
percentage points (versus an unconditional mean of 0.42%), and increases firm
normalized industry-adjusted ROA by 3.39% (versus an unconditional mean of 2.5%).
The relationship between performance and the control variables is primarily as expected.
Lagged performance enters positively, with firms with higher performance in year t-1
observing higher performance in year t. R&D expenditures are negatively related to
performance. Larger firms observe higher performance after controlling for other factors.
Geographic diversification is statistically negatively related to performance in three out
of the four models, but with little economic significance. Intersegment relatedness is
negatively related to performance, but is statistically significant only in the ROA
specifications. The delta of the top five executives’ option portfolio is positively related
to performance, while the vega of the portfolio observes a negative relationship to
performance. More mature firms observe lower performance. The indicator variable for
low marginal tax rate is negative and significant in the CFA models specification, but
insignificant in the ROA specifications. Similarly, the indicator variable for high
marginal tax rate is positive and significant in the CFA specification, but insignificant in
the ROA specifications. Other control variables such as long term debt and product
diversification observe no significant relationship to operating performance.
While our results in the naïve OLS model suggest a positive relationship between
the existence of a broad-based non-executive stock option plan and subsequent firm
operating performance, as in our previous analyses, we must address the concern that
option grants are endogenous. To do this, we once again employ an IV approach, where
the first stage model is a probit predicting the binary variable for broad-based option
21
plans using the same set of exogenous instruments used to predict option incentives, and
the second stage model predicts performance using a fitted value from the first stage.14
The first stage probit in our IV approach predicts the existence of a broad-based
non-executive option plan as a function of the instruments presented in Section 3.3 and
all explanatory variables from the performance equation. Panel A of Table 5 presents the
estimates for each of our proposed instruments separately and together. Once again, our
instruments appear to be well-correlated with our endogenous variable, however, the
instruments with the greatest predictive power differ somewhat from the specification for
predicting option incentives. Both industry turnover and the natural logarithm of the
number of employees in the firm are negatively and significantly related to the existence
of a broad-based plan, both when inserted alone or in concert with the other instruments.
In contrast, our third proposed instrument, which measures the education levels in the
firm’s geographical area, appears to be unrelated to the existence of a broad-based plan,
regardless of specification.
As our first stage in nonlinear, the joint test of significance for the instruments in
the first stage proposed by Staiger and Stock (1997) is distributed Chi-square. Our Chi-
square measure for the specification with the three instruments is 165, implying p-values
analogously small to pass the critical value threshold for the F-test and suggesting our
instruments are collectively strong. Further, Bound et al. (1995) argue that high partial R-
square, defined as the difference in R-square between the first stage regression with and
without the excluded instruments, ensures instruments are sufficiently strong. We find
that the inclusion of the instruments in a first stage Probit with all exogenous variables
increases the pseudo R-square from 0.067 to 0.107, approximately 60%.15
In each of the four naïve OLS models, we observed a positive and statistically
significant relationship between the existence of a broad-based option program and our
measures of firm operating performance, consistent with the existence of a positive
performance effect for broad-based non-executive option plans. What happens to this
positive relation once we account for the endogeneity of the presence of a broad-based
14 Wooldridge (2001) explains that robust standard errors for the fitted values in the second stage equationsare valid without adjustment when the first stage equation is a probit.15 We note that one drawback of using a more intuitive, non-linear, specification (such as a probit) in thefirst stage for the existence of a broad-based plan is the lack of standard over-identification tests for ourinstruments.
22
plan? Panel B of Table 5 presents the results of our IV models, instrumenting our broad-
based plan indicator variable as described above. The signs and magnitudes of the
coefficients on the control variables remain similar to those observed in the naïve OLS
model estimation. For all four measures of operating performance, we continue to find a
strong, positive and statistically significant relationship between the presence of a broad-
based stock option plan for rank and file employees and subsequent firm operating
performance. Having a broad-based plan is associated with a subsequent 1.33 percentage
point increase in non-normalized ROA (versus an unconditional mean of .42%), and an
increase of 9.99% in normalized ROA (versus an unconditional mean of 2.5%). The
existence of a broad-based plan has a similar effect on subsequent firm CFA, resulting in
a 1.1 percentage point increase in non-normalized CFA (versus an unconditional mean of
.33%) and an 11.67% increase in normalized CFA (versus an unconditional mean of
3.4%). Collectively, the results from the four models suggest that even after accounting
for the endogenous nature of broad-based stock option plans, granting options broadly to
rank and file employees has a positive effect on firm performance.
We now turn to the interaction of option portfolio incentives and broad-based
grants. Mutual monitoring effects and incentive effects in general should be stronger in
firms where options are granted broadly, to most employees; hence, we would expect to
see a stronger relationship between option incentives and performance in firms where
options are granted more broadly.
To explore this hypothesis, we allow the coefficient on our measure of option
portfolio incentives to differ for firms with and without broad-based option plans, and re-
estimate our models. The estimates for our models are presented in Table 6. All models
are estimated instrumenting for option incentives as described in Section 3. Uncentered
R-squared ranges from 20.95% for normalized CFA to 59.40% for ROA. Once again,
Hansen J test statistics for over-identification of all instruments fail to reject the null of
valid instruments in all four of models. Both the partial R-square test for lack of
explanatory power and the Anderson canonical correlations likelihood ratio tests for
under-identification reject the null at the 1% level in all four models.
The results in Table 6 are striking. In all four models, the coefficient on option
incentives for firms with broad-based option plans roughly doubles relative to the
23
estimate in the full sample. In three of the models, the coefficient is significant at the 1%
level; in the fourth model, it is significant at the 5% level. In contrast, the coefficient on
incentives for firm without broad-based plans is slightly negative, and is not statistically
significant in any of the four models. A test for differences in coefficients finds the
coefficients on the incentives measure for high growth firms to be statistically
significantly larger than for low growth firms at the 10% level for the ROA and CFA
models, and at 5% for the normalized CFA specification.16
The models in Table 6 suggest that incentive effects are significantly and
positively related to performance only for the group of firms with broad-based plans. We
consider it unlikely that the existence of a broad-based program is merely a proxy for
high incentives, for two reasons. First, having a broad-based program is determined by a
firm’s grants in a particular year, whereas the option portfolio incentives are calculated
off the entire outstanding portfolio of non-executive options. Second, in examining the
summary statistics presented in Table 4 for firms with and without broad plans, we
observe no empirical relationship between having a broad-based plan for rank and file
employees and the incentives implied by the options outstanding in that plan. Thus, our
results appear to be consistent with the notion that broad-based plans are more likely to
induce monitoring among co-workers.
7. Conclusion
Whether options granted to rank and file employees have causal effects on the
performance of the firm is an open question in the existing economic literature. This
paper examines this relationship by exploring the link between option portfolio implied
incentives and firm operating performance. To the best of our knowledge, this paper is
the first to address in depth the question of these programs’ effects on objective measures
of firm performance while carefully accounting for the endogenous nature of these option
plans.
Common economic wisdom holds that non-executive stock options are unlikely to
affect the performance of the firm due to free-riding. Competing theories argue that
mutual monitoring among employees may overcome the free-riding problem. A new,
16 The estimates for normalized ROA are noisier, with significant differences only at 82% confidance.
24
previously unemployed dataset allows us to obtain a measure of option portfolio
incentives which is unobtainable from previous datasets such as Execucomp. We
examine the total sensitivity of the firm’s non-executive options to an increase in the
underlying value of a firm’s stock. Controlling for other likely determinants of firm
operating performance, as well as the endogenous nature of option programs for non-
executive employees, we find a positive, causal relationship between the implied
incentives of the portfolio of outstanding non-executive options and subsequent firm
operating performance. The magnitude of the incentive effect is economically large, and
suggests that free-riding is not the dominant effect for these programs.
Consistent with economic theory, we find that the incentive-performance effect is
larger in smaller firms, and in firms with higher growth opportunities and higher growth
options per employee. Finally, we find that firms that broadly grant options to non-
executive employees exhibit higher operating performance than firms that do not grant
options broadly. Our models suggest that this performance effect is concentrated solely in
firms that grant options broadly to non-executive employees, supporting the argument
that options may induce monitoring among co-workers.
Our findings contribute to the emerging literature on the use of employee stock
options as effective compensation tools. Our approach employs a wide cross-section of
firms, and attempts to carefully account for the endogeneity of option granting behavior
so as to be able to draw conclusions about causation rather than correlations alone. In
addition, our results provide insight as to when the granting of such options is likely to
have the strongest incentive effects, and find evidence suggesting that targeted incentives
may be less effective in providing incentives than the use of broad-based plans. Our
findings suggest that while free-riding may be present to some extent, mutual monitoring
by co-workers may be the stronger force.
25
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27
Table 1Descriptive Statistics
The unit of analysis is a firm-year. BROADPLAN is an indicator variable that takes the value 1 if the company had a broad-based employeeoption plan, 0 otherwise; ADJUSTED ROA is industry-adjusted return on assets before depreciation; ADJUSTED CFA is industry-adjusted cashflow deflated by assets; NONEXEC DELTA is the estimated wealth increase for the employees other than the top 5 executives from a 1% changein stock price; R&D is the three-year average for R&D expenses; LONG TERM DEBT is an indicator variable equal to 1 if the company hadlong-term debt, 0 otherwise; MARKET VALUE ASSETS is the market capitalization of the firm’s equity plus the book value of debt;PRODUCT DIV measures product diversification using the number of firm segments; GEOGRAPHIC DIV measures geographic diversificationusing the number of geographic segments; INTERSEGMENT REL measures the relatedness of the firm’s segments; LMT is an indicator variablethat takes a value of 1 if the company had a low marginal tax rate, 0 otherwise; HMT is an indicator variable that takes a value of 1 if thecompany had a high marginal tax rate, 0 otherwise; TOP5 DELTA is the estimated wealth increase for the top 5 executives from a 1% change instock price; TOP5 VEGA measures the convexity of compensation of the top 5 executives; AGE is the number of years the firm has been public;EMPLOYEES is the number of employees; INDUSTRY TURNOVER is average employee turnover for the company’s 4-digit SIC code;MASTERS DEG is the number of masters degrees for the male population in the company’s 2-digit zip code.
Variable Numberof
Observations
MeanTotal
Sample
Std.Dev.Total
SampleBROADPLAN 8606 0.4377 0.4961
ADJUSTED ROA 8606 0.0037 0.0012
ADJUSTED ROA (normalized) 8606 0.0223 0.8194
ADJUSTED CFA 8606 0.0029 0.0999
ADJUSTED CFA (normalized) 8606 0.0268 1.1453
NONEXEC DELTA 5553 0.6147 3.0289
R&D 8606 0.0355 0.0654
LONG TERM DEBT 8606 0.8551 0.3520
MARKET VALUE ASSETS (LN) 8606 7.6828 1.5512
PRODUCT DIV 8606 0.4656 0.5737
GEOGRAPHIC DIV 8606 -0.0048 46.281
INTERSEGMENT REL 8606 0.0053 0.0315
LMT 8606 0.0324 0.1771
HMT 8606 0.3129 0.4637
TOP5 DELTA 8606 9.3480 5.3067
TOP5 VEGA 8606 8.2399 4.8024
AGE 8606 21.900 19.412
NUMBER OF EMPLOYEES 8535 16.772 39.557
INDUSTRY TURNOVER 8581 0.0973 0.0553
MASTERS DEG 7970 95905 46856
28
Table 2Incentives and Firm Performance: GMM Estimation
This table presents the results of GMM estimation of IV regressions of industry-adjusted performance (ROA, ROS) on the delta of the outstanding non-executive option portfolio. The unit of analysis is a firm-year. Panel A present the results of OLS models where the dependent variable is the delta of thenon-executive option portfolio, and the dependent variables are instruments. Panel B presents the estimates of the main model, instrumenting for optionportfolio delta using the instruments from Panel A. NONEXEC DELTA is the estimated wealth increase for the employees other than the top 5 executivesfrom a 1% change in stock price; EMPLOYEES is the number of employees; INDUSTRY TURNOVER is average employee turnover for the company’s 4-digit SIC code; MASTERS DEG is the number of masters degrees for the male population in the company’s 2-digit zip code. ROA is industry-adjustedreturn on assets before depreciation; CFA is industry-adjusted cash flow deflated by assets; R&D is the three-year average for R&D expenses; LONGTERM DEBT is an indicator variable equal to 1 if the company had long-term debt, 0 otherwise; MARKET VALUE ASSETS is the market capitalizationof the firm’s equity plus the book value of debt; PRODUCT DIV measures product diversification using the number of firm segments; GEOGRAPHIC DIVmeasures geographic diversification using the number of geographic segments; INTERSEGMENT REL measures the relatedness of the firm’s segments;LMT is an indicator variable that takes a value of 1 if the company had a low marginal tax rate, 0 otherwise; HMT is an indicator variable that takes a valueof 1 if the company had a high marginal tax rate, 0 otherwise; TOP5 DELTA is the estimated wealth increase for the top 5 executives from a 1% change instock price; TOP5 VEGA measures the convexity of compensation of the top 5 executives; AGE is the number of years the firm has been public; Standarderrors are White heteroskedasticity-adjusted and are clustered for the same company (Rogers, 1993). In parenthesis we report z-scores.
Panel A: Option incentives and Instruments
Dependent Variable: Non-Executive Delta
INDUSTRY TURNOVER 2.3477(1.13)
1.1319(0.58)
LN NUMBEREMPLOYEES
0.3718 ***(5.17)
0.3724 ***(5.36)
LN MASTERS DEGREE 0.3960 ***(4.03)
0.4235 ***(4.28)
Intercept 0.4061 **(2.40)
-0.0872(-1.17)
-3.8556 ***(-3.72)
-4.9842 ***(-4.10)
Number of observations 5252 5252 5252 5252F(1,1102) = 1.28 Prob > F = 0.25R-squared = .002
F(1,1102) = 26.68 Prob > F = 0.00
R-squared = .0343
F(1,1102) = 16.24 Prob > F = 0.00R-squared = .006
F(3,1102) = 10.17 Prob > F = 0.00R-squared = .042
29
Table 2Incentives and Firm Performance: GMM Estimation
Panel B: “Second-Stage” Estimation
Dependent Variable:PERFORMANCE
IROA (normalized)
IIROA
IIICFA (normalized)
IVCFA
Delta of Portfolio 0.0399 *(1.85)
0.0048 *(1.89)
0.0844 **(2.18)
0.0064 **(2.04)
LAG PERFORMANCE 0.7371 ***(33.88)
0.7633 ***(37.37)
0.5336 ***(19.74)
0.5371 ***(25.89)
R&D -0.6002 **(-2.01)
-0.0796 **(-2.15)
-1.2476 **(-2.37)
-0.0968 **(-2.23)
LONG TERM DEBT 0.1046 ***(2.77)
0.0133 ***(2.76)
0.0761(1.26)
0.0045(0.83)
MKT VALUE ASSETS -0.0322 **(-2.53)
-0.0039 **(-2.51)
-0.0449 *(-1.83)
-0.0034 *(-1.71)
PRODUCT DIV -0.0135(-0.58)
-0.0008(-0.27)
-0.0236(-0.63)
-0.0032(-0.93)
GEOGRAPHIC DIV -0.0000 ***(-4.04)
-0.0000 ***(-4.76)
-0.0000 *(-1.85)
-0.0000(-1.58)
INTERSEGMENT REL -0.0992(-0.63)
-0.0117(-0.61)
-0.1208(-0.36)
-0.0121(-0.41)
LMT -0.0453(-0.48)
-0.0079(-0.73)
-0.4159 ***(-2.91)
-0.0341 ***(-3.11)
HMT -0.0229(-1.28)
-0.0041 *(-1.80)
-0.0044(-0.15)
-0.0001(-0.05)
TOP5 DELTA 0.0159 ***(2.90)
0.0022 ***(3.15)
0.0146(1.59)
0.0018 **(2.01)
TOP5 VEGA -0.0172 ***(-2.94)
-0.0023 ***(-3.12)
-0.0142(-1.43)
-0.0016 *(-1.76)
LNAGE 0.0143(1.58)
0.0015(1.40)
0.0091(0.55)
0.0006(0.44)
Intercept 0.0997(1.18)
0.0087(0.85)
0.2289(1.45)
0.0197(1.53)
Year and Industry Controls Included but not Reported“Excluded” Instruments: Masters Degree, Industry Turnover, Natural Log of Number of Employees
Number of observations 5252 5252 5280 5280Anderson corr. LR stat Chi2~31 95.665
0.0096.007
0.0090.144
0.0089.856
0.00Hansen J Chi2~30 32.022
0.36633.478.3022
26.7090.638
28.9660.519
F(20,1102) = 88.59 Prob > F = 0.00
UC R-squared = .5872
F(20,1102) = 99.86 Prob > F = 0.00
UC R-squared = .6245
F(20,1104) = 44.54 Prob > F = 0.00
UC R-squared = .3184
F(20,1104) = 69.23 Prob > F = 0.00
UC R-squared = .3558*, ** or *** mean the coefficient is significant at 10%, 5% or 1% level respectively
30
Table 3Incentive Effects split by Number of Employees, Growth Option Measures
This table presents the results of GMM estimation of IV regressions of industry-adjusted performance (ROA, ROS) on the delta of the outstanding non-executive option portfolio, split at the median value for a variety of measures. The unit of analysis is a firm-year. NONEXEC DELTA is the estimatedwealth increase for the employees other than the top 5 executives from a 1% change in stock price; EMPLOYEES is the number of employees;INDUSTRY TURNOVER is average employee turnover for the company’s 4-digit SIC code; MASTERS DEG is the number of masters degrees for themale population in the company’s 2-digit zip code. ROA is industry-adjusted return on assets before depreciation; CFA is industry-adjusted cash flowdeflated by assets; R&D is the three-year average for R&D expenses; LONG TERM DEBT is an indicator variable equal to 1 if the company had long-term debt, 0 otherwise; MARKET VALUE ASSETS is the market capitalization of the firm’s equity plus the book value of debt; PRODUCT DIVmeasures product diversification using the number of firm segments; GEOGRAPHIC DIV measures geographic diversification using the number ofgeographic segments; INTERSEGMENT REL measures the relatedness of the firm’s segments; LMT is an indicator variable that takes a value of 1 if thecompany had a low marginal tax rate, 0 otherwise; HMT is an indicator variable that takes a value of 1 if the company had a high marginal tax rate, 0otherwise; TOP5 DELTA is the estimated wealth increase for the top 5 executives from a 1% change in stock price; TOP5 VEGA measures the convexityof compensation of the top 5 executives; AGE is the number of years the firm has been public; Market to book is calculated as market value of assets overbook value of assets. Growth options per employee is calculated as in Core and Guay (2001) as the difference between market value of assets and bookvalue of assets divided by the number of employees. Standard errors are White heteroskedasticity-adjusted and are clustered for the same company(Rogers, 1993). In parenthesis we report z-scores.
Panel A: ROA measures
Incentive EffectsNumber of Employees
(X=Small)
Incentive EffectsGrowth Options
(X=High Market to Book)
Incentive EffectsGrowth Options per Employee(X=High Mkt-Book per Empl.)
Dependent Variable:
ROA(normalized)
ROA ROA(normalized)
ROA ROA(normalized)
ROA
NON-EXEC INCENTIVE(X=1)
0.2212 **(2.04)
0.0251 *(1.77)
0.0507 **(2.23)
0.0061 **(2.21)
0.0570 **(2.41)
0.0064**(1.72)
NON-EXEC INCENTIVE(X=0)
0.0395 **(2.34)
0.0049 **(2.44)
-0.0393(-0.62)
-0.0064(-0.80)
-0.0777(-1.24)
-0.0097(-1.24)
LAG ADJUSTED ROA 0.7497 ***(34.68)
0.7736 ***(38.41)
0.7246 ***(32.12)
0.7500 ***(35.14)
0.7240 ***(32.63)
0.7510 ***(35.72)
R&D -0.6058 ***(-2.14)
-0.0813 **(-2.26)
-0.7181 **(-2.32)
-0.0929 **(-2.44)
-0.7562 **(-2.43)
-0.0944 **(-2.45)
LONG TERM DEBT 0.0893 **(2.34)
0.0118 **(2.43)
0.0924 **(2.53)
0.0113 **(2.39)
0.0839 **(2.28)
0.0106 **(2.24)
MKT VALUE ASSETS -0.0215 *(-1.82)
-0.0027 *(-1.88)
-0.0262 **(-2.02)
-0.0028 *(-1.79)
-0.0269 **(-2.07)
-0.0030 *(-1.89)
PRODUCT DIV 0.0073(0.32)
0.0016(0.52)
-0.0108(-0.47)
-0.0006(-0.22)
-0.0146(-0.65)
-0.0009(-0.31)
GEOGRAPHIC DIV -0.0000 ***(-3.08)
-0.0000 ***(-3.62)
-0.0000 ***(-4.12)
-0.0000 ***(-4.71)
-0.0000 ***(-3.04)
-0.0000 ***(-3.60)
INTERSEGMENT REL -0.1834 *(-1.42)
-0.0221(-1.43)
-0.0295(-0.18)
-0.0024(-0.12)
-0.1430(-0.95)
-0.0173(-0.93)
LMT -0.0173(-0.20)
-0.0048(-0.50)
-0.0424(-0.46)
-0.0077(-0.73)
-0.0543(-0.58)
-0.0092(-0.87)
HMT 0.0076(0.44)
0.0004(-0.17)
-0.0206(-1.19)
0.0036 *(-1.65)
-0.0081(-0.46)
-0.0023(-1.01)
TOP5 DELTA 0.0113 **(2.00)
0.0016 **(2.26)
0.0127 **(2.19)
0.0018 **(2.49)
0.0136 **(2.41)
0.0020 ***(2.88)
TOP5 VEGA -0.0154 ***(-2.57)
-0.0021 ***(-2.73)
-0.0140 **(-2.57)
-0.0019 **(-2.53)
-0.0153 **(-2.55)
-0.0022 ***(-2.95)
LNAGE 0.0111(1.29)
0.0013(1.20)
0.0116(1.27)
0.0010(0.90)
0.0108(1.15)
0.0010(0.82)
Intercept 0.0455(0.58)
0.0026(0.27)
0.0788(0.92)
0.0052(0.51)
0.1010(1.18)
0.0075(0.73)
Year and Industry Controls Included but not Reported“Excluded” Instruments: Masters Degree, Industry Turnover, Natural Log of Number of Employees
Number of observations 5252 5252 5252 5252 5252 5252
Anderson LR StatisticProb > Chi-sq (7)
56.9760.000
57.6040.002
86.4440.000
86.6970.000
86.7450.000
86.9760.000
Hansen J 33.9660.241
35.1540.200
31.530.341
31.3070.351
31.9570.322
32.6510.292
F(21,1102)Prob > FUncentered R-square
96.34 0.00.5214
110.62 0.00.5758
87.90 0.00.5761
97.51 0.00.6153
89.06 0.00.5651
99.75 0.00.6104
*, ** or *** mean the coefficient is significant at 10%, 5% or 1% level respectively
31
Table 3Incentive Effects split by Number of Employees, Growth Option Measures
Panel B: CFA Measures
Incentive EffectsNumber of Employees
(X=Small)
Incentive EffectsGrowth Options
(X=High Market to Book)
Incentive EffectsGrowth Options per Employee(X=High Mkt-Book per Empl.)
Dependent Variable:
CF/A(normalized)
CF/A CF/A(normalized)
CF/A CF/A(normalized)
CF/A
NON-EXEC INCENTIVE(X=1)
0.4618 ***(2.74)
0.0483 ***(2.99)
0.0892 **(2.26)
0.0077 **(2.33)
0.1066 ***(2.67)
0.0093 ***(2.74)
NON-EXEC INCENTIVE(X=0)
0.0786 **(2.34)
0.0064 **(2.45)
-0.0129(-0.13)
-0.0067(-0.74)
-0.1542(-1.57)
-0.0180 *(-1.87)
LAG ADJUSTED CF/A 0.5356 ***(20.37)
0.5436 ***(27.25)
0.5295 ***(19.22)
0.5287 ***(24.81)
0.5216 ***(19.04)
0.5249 ***(24.78)
R&D -1.4374 ***(-2.78)
-0.1249 ***(-2.90)
-1.3372 **(-2.48)
-0.1138 **(-2.53)
-1.5748 ***(-2.85)
-0.1368 ***(-2.94)
LONG TERM DEBT 0.0633(1.06)
0.0050(0.92)
0.0666(1.11)
0.0032(0.60)
0.0469(0.80)
0.0024(0.46)
MKT VALUE ASSETS -0.0309(-1.34)
-0.0025(-1.35)
-0.0372(-1.48)
-0.0025(-1.20)
-0.0329(-1.36)
-0.0025(-1.18)
PRODUCT DIV 0.0149(0.38)
0.0012(0.35)
-0.0143(-0.38)
-0.0021(-0.59)
-0.0146(-0.39)
-0.0026(-0.75)
GEOGRAPHIC DIV -0.0000(-0.88)
-0.0000(-0.52)
-0.0000 *(-1.83)
-0.0000(-1.58)
-0.0000(-0.68)
-0.0000(-0.31)
INTERSEGMENT REL -0.3057(-0.94)
-0.0367(-1.30)
-0.0948(-0.28)
-0.0069(-0.23)
-0.2509(-0.76)
-0.0276(-0.95)
LMT -0.4287 ***(-3.19)
-0.0347 ***(-3.44)
-0.4133 ***(-2.92)
-0.0036 ***(-3.14)
-0.4219 ***(-3.01)
-0.0341 ***(-3.19)
HMT 0.0376(1.26)
0.0040(1.57)
-0.0061(-0.21)
0.0002(-0.09)
0.0090(0.31)
0.0009(0.35)
TOP5 DELTA 0.0075(0.80)
0.0010(1.08)
0.0117(1.20)
0.0013(1.42)
0.0108(1.15)
0.0016 *(1.71)
TOP5 VEGA -0.0106(-1.05)
-0.0012(-1.27)
-0.0114(-1.10)
-0.0012(-1.26)
-0.0110(-1.10)
-0.0015(-1.56)
LNAGE 0.0111(1.29)
0.0009(0.66)
0.0053(0.32)
-0.0010(-0.90)
-0.0007(-0.04)
-0.0004(-0.25)
Intercept 0.1167(0.77)
0.0109(0.88)
0.1986(1.25)
0.0171(1.31)
0.2253(1.43)
0.0205(1.54)
Year and Industry Controls Included but not Reported“Excluded” Instruments: Masters Degree, Industry Turnover, Natural Log of Number of Employees
Number of observations 5280 5280 5280 5280 5280 5280
Anderson LR StatisticProb > Chi-sq (7)
56.9990.000
58.1110.002
81.1950.000
81.5490.000
82.6860.000
82.8940.000
Hansen J 25.3770.659
24.8360.687
27.4980.545
28.1550.510
24.0790.725
24.4340.707
F(21,1104)Prob > FUncentered R-square
46.39 0.00.1653
75.05 0.00.1177
43.25 0.00.3151
67.38 0.00.3413
44.46 0.00.2857
68.43 0.00.3075
*, ** or *** mean the coefficient is significant at 10%, 5% or 1% level respectively
32
Table 4Targeted versus Broad Plans: Descriptive Statistics
The unit of analysis is a firm-year. BROADPLAN is an indicator variable that takes the value 1 if the company had a broad-based employeeoption plan, 0 otherwise; ADJUSTED ROA is industry-adjusted return on assets before depreciation; ADJUSTED CFA is industry-adjusted cashflow deflated by assets; NONEXEC DELTA is the estimated wealth increase for the employees other than the top 5 executives from a 1% changein stock price; R&D is the three-year average for R&D expenses; LONG TERM DEBT is an indicator variable equal to 1 if the company hadlong-term debt, 0 otherwise; MARKET VALUE ASSETS is the market capitalization of the firm’s equity plus the book value of debt;PRODUCT DIV measures product diversification using the number of firm segments; GEOGRAPHIC DIV measures geographic diversificationusing the number of geographic segments; INTERSEGMENT REL measures the relatedness of the firm’s segments; LMT is an indicator variablethat takes a value of 1 if the company had a low marginal tax rate, 0 otherwise; HMT is an indicator variable that takes a value of 1 if thecompany had a high marginal tax rate, 0 otherwise; TOP5 DELTA is the estimated wealth increase for the top 5 executives from a 1% change instock price; TOP5 VEGA measures the convexity of compensation of the top 5 executives; AGE is the number of years the firm has been public;EMPLOYEES is the number of employees; INDUSTRY TURNOVER is average employee turnover for the company’s 4-digit SIC code;MASTERS DEG is the number of masters degrees for the male population in the company’s 2-digit zip code.
Variable MeanBROADSample
MeanNON-BROAD
Sample
P-value forDifference
BROADPLAN 1 0 N/A
ADJUSTED ROA 0.0101 -0.0014 0.000
ADJUSTED ROA (normalized) 0.0691 -0.0142 0.000
ADJUSTED CFA 0.0101 -0.0027 0.000
ADJUSTED CFA (normalized) 0.0997 -0.0299 0.000
NONEXEC DELTA 0.6176 0.6100 0.9195
R&D 0.0400 0.0320 0.000
LONG TERM DEBT 0.8320 0.8731 0.000
MARKET VALUE ASSETS (LN) 7.5069 7.8198 0.000
PRODUCT DIV 0.4362 0.4886 0.000
GEOGRAPHIC DIV -0.5969 0.4561 0.356
INTERSEGMENT REL 0.0062 0.0045 0.020
LMT 0.0329 0.0320 0.818
HMT 0.3186 0.3085 0.321
TOP5 DELTA 9.3130 9.3752 0.5874
TOP5 VEGA 8.3776 8.1327 0.019
AGE 20.217 23.211 0.000
NUMBER OF EMPLOYEES 8.465 23.335 0.000
INDUSTRY TURNOVER 0.0890 0.1037 0.000
MASTERS DEG 97719 94468 0.002
33
Table 5Broad Plan and Firm Performance: Fitted Value IV Models
This table presents the results of fitted value instrumental variables regressions of industry-adjusted Performance (ROA, ROS) on an indicator variable for abroad-based option plan. The unit of analysis is a firm-year. Panel A present the results of probit models where the dependent variable is an indicator forhaving a broad-based plan, and the dependent variables are instruments. Panel B presents the estimate of the second stage regression, instrumenting from theexistence of a broad-based plan using the instruments from Panel A. BROADPLAN is an indicator variable that takes the value 1 if the company had abroad-based employee option plan, 0 otherwise; EMPLOYEES is the number of employees; INDUSTRY TURNOVER is average employee turnover forthe company’s 4-digit SIC code; MASTERS DEG is the number of masters degrees for the male population in the company’s 2-digit zip code. ROA isindustry-adjusted return on assets before depreciation; CFA is industry-adjusted cash flow deflated by assets; R&D is the three-year average for R&Dexpenses; LONG TERM DEBT is an indicator variable equal to 1 if the company had long-term debt, 0 otherwise; MARKET VALUE ASSETS is themarket capitalization of the firm’s equity plus the book value of debt; PRODUCT DIV measures product diversification using the number of firm segments;GEOGRAPHIC DIV measures geographic diversification using the number of geographic segments; INTERSEGMENT REL measures the relatedness ofthe firm’s segments; LMT is an indicator variable that takes a value of 1 if the company had a low marginal tax rate, 0 otherwise; HMT is an indicatorvariable that takes a value of 1 if the company had a high marginal tax rate, 0 otherwise; TOP5 DELTA is the estimated wealth increase for the top 5executives from a 1% change in stock price; TOP5 VEGA measures the convexity of compensation of the top 5 executives; AGE is the number of years thefirm has been public; Standard errors are White heteroskedasticity-adjusted and are clustered for the same company (Rogers, 1993). In parenthesis wereport z-scores.
Panel A: Broad Plan and Instruments
Dependent Variable: BROADPLAN
INDUSTRY TURNOVER -3.0766 ***(-8.45)
-2.9402 ***(-8.19)
LN NUMBEREMPLOYEES
-0.1481 ***(-9.87)
-0.1433 ***(-9.38)
LN MASTERS DEGREE 0.0522(1.29)
0.0402(1.00)
Intercept 0.1607 ***(3.73)
0.0955 ***(2.79)
-0.7257(-1.59)
-0.0848(-0.19)
Number of observations 7890 7890 7890 7890Wald Chi2 (1)= 71.44
Prob > Chi2= 0.00 R-squared = .0134
Wald Chi2 (1)= 97.36 Prob > Chi2= 0.00 R-squared = .025
Wald Chi2 (1)= 1.67 Prob > Chi2= 0.20 R-squared = .000
Wald Chi2 (3)= 165.49 Prob > Chi2= 0.00 R-squared = .037
*, ** or *** mean the coefficient is significant at 10%, 5% or 1% level respectively
34
Table 5Broad Plan and Firm Performance: Fitted Value IV Models
Panel B: Second Stage Estimation
Dependent Variable:PERFORMANCE
IROA (normalized)
IIROA
IIICFA (normalized)
IVCFA
BROAD PLAN 0.0999 ***(4.77)
0.0133 ***(4.48)
0.1167 ***(3.39)
0.0119 ***(3.52)
LAG PERFORMANCE 0.7423 ***(24.04)
0.7440 ***(26.75)
0.5528 ***(16.61)
0.5726 ***(15.43)
R&D -1.0158 ***(-4.22)
-0.1374 ***(-3.86)
-1.3158 ***(-3.24)
-0.1260 ***(-3.27)
LONG TERM DEBT 0.0039(0.15)
-0.0002(-0.07)
-0.0548(-1.31)
-0.0059 (-1.58)
MKT VALUE ASSETS 0.0401 ***(6.55)
0.0050 ***(5.93)
0.0601 ***(6.35)
0.0053 ***(5.88)
PRODUCT DIV 0.0222(0.96)
0.0031(0.97)
0.0302(0.85)
0.0029(0.89)
GEOGRAPHIC DIV 0.0000 **(2.79)
0.000 ***(2.69)
0.0001 ***(3.15)
0.0001 ***(3.20)
INTERSEGMENT REL -0.2557 **(-2.31)
-0.0312 **(-2.15)
-0.4903(-1.44)
-0.0402(-1.55)
LMT 0.0083(0.10)
-0.0004(-0.04)
-0.4367 ***(-3.27)
-0.0318 ***(-2.88)
HMT 0.0163(1.11)
0.0007(0.37)
0.0704 ***(3.29)
0.0052 ***(2.58)
TOP5 DELTA 0.0329 ***(4.78)
0.0045 ***(5.02)
0.0347 ***(3.30)
0.0036 ***(3.55)
TOP5 VEGA -0.0405 ***(-5.14)
-0.0055 ***(-5.35)
-0.0409 ***(-3.48)
-0.0042 ***(-3.72)
LNAGE -0.0296 ***(-4.10)
-0.0041 ***(-4.15)
-0.0431 ***(-3.65)
-0.0043 ***(-3.91)
Intercept -0.1222 **(-2.51)
-0.0114 *(-1.81)
-0.1749 **(-2.27)
-0.0131 **(-1.97)
Year and Industry Controls Included but not ReportedNumber of observations 7888 7888 7924 7924
F(20,1249) = 101.29 Prob > F = 0.00
R-squared = .6068
F(20,1249) = 128.32 Prob > F = 0.00
R-squared = .6405
F(20,1251) = 39.94 Prob > F = 0.00
R-squared = .3986
F(20,1251) = 50.31 Prob > F = 0.00
R-squared = .4166*, ** or *** mean the coefficient is significant at 10%, 5% or 1% level respectively
35
Table 6Targeted versus Broad Incentives
This table presents the results of GMM estimation of IV regressions of industry-adjusted performance (ROA, ROS) on the delta of theoutstanding non-executive option portfolio for firms with and without broad-based option plans. The unit of analysis is a firm-year.BROADPLAN is an indicator variable that takes the value 1 if the company had a broad-based employee option plan, 0 otherwise;NONEXEC DELTA is the estimated wealth increase for the employees other than the top 5 executives from a 1% change in stockprice; ROA is industry-adjusted return on assets before depreciation; CFA is industry-adjusted cash flow deflated by assets; R&D isthe three-year average for R&D expenses; LONG TERM DEBT is an indicator variable equal to 1 if the company had long-term debt,0 otherwise; MARKET VALUE ASSETS is the market capitalization of the firm’s equity plus the book value of debt; PRODUCTDIV measures product diversification using the number of firm segments; GEOGRAPHIC DIV measures geographic diversificationusing the number of geographic segments; INTERSEGMENT REL measures the relatedness of the firm’s segments; LMT is anindicator variable that takes a value of 1 if the company had a low marginal tax rate, 0 otherwise; HMT is an indicator variable thattakes a value of 1 if the company had a high marginal tax rate, 0 otherwise; TOP5 DELTA is the estimated wealth increase for the top5 executives from a 1% change in stock price; TOP5 VEGA measures the convexity of compensation of the top 5 executives; AGE isthe number of years the firm has been public; Standard errors are White heteroskedasticity-adjusted and are clustered for the samecompany (Rogers, 1993). In parenthesis we report t-statistics.
Dependent Variable: ROA
(normalized)
ROA CFA
(normalized)
CFA
BROADPLAN x delta 0.0767 ***(2.25)
0.0081 **(1.97)
0.1539 ***(2.83)
0.0119 ***(2.51)
NO BROADPLAN x delta -0.0082(-0.27)
-0.0001(-0.04)
-0.0341(-0.58)
-0.0032(-0.59)
LAGGED PERFORMANCE 0.7313 ***(32.94)
0.7576 ***(36.00)
0.5173 ***(18.21)
0.5309 ***(24.42)
R&D -0.7500 **(-2.44)
-0.0909 **(-2.39)
-1.5802 ***(-2.89)
-0.1191 ***(-2.62)
LONG TERM DEBT 0.0919 **(2.43)
0.0120 **(2.47)
0.0594(0.99)
0.0035(0.63)
MKT VALUE ASSETS -0.0273 **(-2.10)
-0.0032 **(-2.04)
-0.0340(-1.38)
-0.0020(-0.97)
PRODUCT DIV 0.0037(0.15)
0.0009(0.27)
0.0109(0.28)
-0.0005(-0.15)
GEOGRAPHIC DIV -0.0000 ***(-4.15)
-0.0000 ***(-4.82)
-0.0000 *(-1.67)
-0.0000(-1.38)
INTERSEGMENT REL -0.1700(-1.17)
-0.0185(-1.01)
-0.4024(-1.21)
-0.0379(-1.26)
LMT -0.0343(-0.37)
-0.0073(-0.70)
-0.4083 ***(-2.95)
-0.0316 ***(-3.01)
HMT -0.0152(-0.84)
-0.0033(-1.44)
0.0006(0.02)
0.0008(0.29)
TOP5 DELTA 0.0253 ***(3.21)
0.0033 ***(3.47)
0.0282 **(2.34)
0.0031 **(2.54)
TOP5 VEGA -0.0270 ***(-3.53)
-0.0035 ***(-3.73)
-0.0278 **(-2.37)
-0.0030 ***(-2.56)
LNAGE 0.0136(1.57)
0.0014(1.31)
0.0105(0.66)
0.0003(0.25)
Intercept 0.0761(0.89)
0.0053(0.51)
0.1625(1.02)
0.0118(0.85)
Year and Industry Controls Included but not Reported“Excluded” Instruments: Masters Degree, Industry Turnover, Natural Log of Number of EmployeesNumber of observations 5252 5252 5280 5280Anderson LR StatisticProb > Chi-sq (7)
80.9660.00
80.1170.00
79.8030.00
78.5150.00
Hansen J 28.9280.469
30.8070.375
20.9330.862
24.4430.707
F(21,1102 or 1104)Prob > FUncentered R-square
70.83 0.0000 0.5312
95.68 0.0000 0.5940
43.16 0.0000 0.2095
64.80 0.0000 0.2697
*, ** or *** mean the coefficient is significant at 10%, 5% or 1% level respectively