Performance Pay and Top-Management Incentives ® Michael C. Jensen; Kevin J. Murphy The Journal of Political Economy, Vol. 98, No. 2 (Apr., 1990), 225-264. Stable URL: http://links.jstor.org/sici?sici=0022-3808%281990(M%2998%3A2%3C225%3APPATI%3E2.0.CO%3B2-I The Journal of Political Economy is currently published by The University of Chicago Press. Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org/about/terms.html. JSTOR's Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive only for your personal, non-commercial use. Please contact the publisher regarding any further use of this work. Publisher contact information may be obtained at http://www.jstor.org/journals/ucpress.html. Each copy of any part of a JSTOR transmission must contain the same copyright notice that appears on the screen or printed page of such transmission. JSTOR is an independent not-for-profit organization dedicated to creating and preserving a digital archive of scholarly journals. For more information regarding JSTOR, please contact support@jstor.org. http://www.j stor.org/ FriOct 14 12:06:18 2005 Performance Pay and Top-Management Incentives Michael C. Jensen Harvard University Kevin J. Murphy University of Rochester Our estimates of the pay-performance relation (including pay, options, stockholdings, and dismissal) for chief executive officers indicate that CEO wealth changes $3.25 for every $1,000 change in shareholder wealth. Although the incentives generated by stock ownership are large relative to pay and dismissal incentives, most CEOs hold trivial fractions of their firms' stock, and ownership levels have declined over the past 50 years. We hypothesize that public and private political forces impose constraints that reduce the pay-performance sensitivity. Declines in both the pay-performance relation and the level of CEO pay since the 1930s are consistent with this hypothesis. The conflict of interest between shareholders of a publicly owned corporation and the corporation's chief executive officer (CEO) is a We have benefited from the assistance of Stephanie Jensen, Natalie Jensen, Mary Rojek, and Mike Stevenson and from the comments of Sherwin Rosen (the editor), George Baker, Carliss Baldwin, Ray Ball, Gary Becker, Joseph Bower, James Brickley, Jeffrey Coles, Harry DeAngelo, Robert Gibbons, Gailen Hite, Clifford Holderness, Robert Kaplan, Steven Kaplan, Edward Lazear, Richard Leftwich, John Long, Jay Lorsch, John McArthur, Paul MacAvoy, Kenneth McLaughlin, Kenneth Merchant, Andrall Pearson, Ronald Schmidt, G. William Schwert, Robert Simons, Jerold Warner, Ross Watts, and Jerold Zimmerman. This research is supported by the Division of Research, Harvard Business School; the Managerial Economics Research Center, University of Rochester; and the John M. Olin Foundation. {Journal of Political Economy, 1990, vol. 98, no. 2] © 1990 by The University of Chicago. All rights reserved. 0022-3808/90/9802-0006$01.50 225 226 JOURNAL OF POLITICAL ECONOMY classic example of a principal-agent problem. If shareholders had complete information regarding the CEO's activities and the firm's investment opportunities, they could design a contract specifying and enforcing the managerial action to be taken in each state of the world. Managerial actions and investment opportunities are not, however, perfectly observable by shareholders; indeed, shareholders do not often know what actions the CEO can take or which of these actions will increase shareholder wealth. In these situations, agency theory predicts that compensation policy will be designed to give the manager incentives to select and implement actions that increase shareholder wealth. Shareholders want CEOs to take particular actions—for example, deciding which issue to work on, which project to pursue, and which to drop—whenever the expected return on the action exceeds the expected costs. But the CEO compares only his private gain and cost from pursuing a particular activity. If one abstracts from the effects of CEO risk aversion, compensation policy that ties the CEO's welfare to shareholder wealth helps align the private and social costs and benefits of alternative actions and thus provides incentives for CEOs to take appropriate actions. Shareholder wealth is affected by many factors in addition to the CEO, including actions of other executives and employees, demand and supply conditions, and public policy. It is appropriate, however, to pay CEOs on the basis of shareholder wealth since that is the objective of shareholders. There are many mechanisms through which compensation policy can provide value-increasing incentives, including performance-based bonuses and salary revisions, stock options, and performance-based dismissal decisions. The purpose of this paper is to estimate the magnitude of the incentives provided by each of these mechanisms. Our estimates imply that each $1,000 change in shareholder wealth corresponds to an average increase in this year's and next year's salary and bonus of about two cents. We also estimate the CEO wealth consequences associated with salary revisions, outstanding stock options, and performance-related dismissals; our upper-bound estimate of the total change in the CEO's wealth from these sources that are under direct control of the board of directors is about 75fz! per $1,000 change in shareholder wealth. Stock ownership is another way an executive's wealth varies with the value of the firm. In our sample CEOs hold a median of about 0.25 percent of their firms' common stock, including exercisable stock options and shares held by family members or connected trusts. Thus the value of the stock owned by the median CEO changes by $2.50 whenever the value of the firm changes by $1,000. Therefore, our final all-inclusive estimate of the pay-performance sensitivity— TOP-MANAGEMENT INCENTIVES 227 including compensation, dismissal, and stockholdings—is about $3.25 per $1,000 change in shareholder wealth. In large firms CEOs tend to own less stock and have less compensation-based incentives than CEOs in smaller firms. In particular, our all-inclusive estimate of the pay-performance sensitivity for CEOs in firms in the top half of our sample (ranked by market value) is $1.85 per $1,000, compared to $8.05 per $1,000 for CEOs in firms in the bottom half of our sample. We believe that our results are inconsistent with the implications of formal agency models of optimal contracting. The empirical relation between the pay of top-level executives and firm performance, while positive and statistically significant, is small for an occupation in which incentive pay is expected to play an important role. In addition, our estimates suggest that dismissals are not an important source of managerial incentives since the increases in dismissal probability due to poor performance and the penalties associated with dismissal are both small. Executive inside stock ownership can provide incentives, but these holdings are not generally controlled by the corporate board, and the majority of top executives have small personal stockholdings. Our results are consistent with several alternative hypotheses; CEOs may be unimportant inputs in the production process, for example, or their actions may be easily monitored and evaluated by corporate boards. We offer an additional hypothesis relating to the role of political forces in the contracting process that implicitly regulate executive compensation by constraining the type of contracts that can be written between management and shareholders. These political forces, operating both in the political sector and within organizations, appear to be important but are difficult to document because they operate in informal and indirect ways. Public disapproval of high rewards seems to have truncated the upper tail of the earnings distribution of corporate executives. Equilibrium in the managerial labor market then prohibits large penalties for poor performance, and as a result the dependence of pay on performance is decreased. Our findings that the pay-performance relation, the raw variability of pay changes, and inflation-adjusted pay levels have declined substantially since the 1930s are consistent with such implicit regulation. I. Estimates of the Pay-Performance Sensitivity We define the pay-performance sensitivity, b, as the dollar change in the CEO's wealth associated with a dollar change in the wealth of shareholders. We interpret higher b's as indicating a closer alignment of interests between the CEO and his shareholders. Suppose, for example, that a CEO is considering a nonproductive but costly "pet 228 JOURNAL OF POLITICAL ECONOMY project" that he values at $100,000 but that will diminish the value of his firm's equity by $10 million. The CEO will avoid this project if his pay-performance sensitivity exceeds b = .01 (through some combination of incentive compensation, options, stock ownership, or probability of being fired for poor stock price performance) but will adopt the project if b < .01. Incentives Generated by Cash Compensation The pay-performance sensitivity is estimated by following all 2,213 CEOs listed in the Executive Compensation Surveys published in Forbes from 1974 to 1986. These surveys include executives serving in 1,295 corporations, for a total of 10,400 CEO-years of data. We match these compensation data to fiscal year corporate performance data obtained from the data files of the Compustat and the Center for Research in Security Prices (CRSP). After observations with missing data are eliminated, the final sample contains 7,750 yearly "first differences" in compensation and includes 1,688 executives from 1,049 corporations. Fiscal year stock returns are unavailable for 219 of the 7,750 observations; calendar-year returns are used in these cases. (Deleting these 219 observations does not affect the results.) All monetary variables are adjusted for inflation (using the consumer price index for the closing month of the fiscal year) and represent thousands of 1986 constant dollars. Table 1 summarizes estimates of the relation between CEO cash compensation and firm performance as measured by the change in shareholder wealth. Column 1 of table 1 reports estimated coefficients from the following least-squares regression: A(CEO salary + bonus), = a + 6A(shareholder wealth),. (1) The change in shareholder wealth variable is defined as rtVt- \, where rt is the inflation-adjusted rate of return on common stock realized in fiscal year t, and Vt-\ is the firm value at the end of the previous year. Our measure of firm performance is subject to two qualifications. First, performance should be evaluated before compensation expense, and yet rtVt-1 is the change in firm value after compensation expense; the associated bias in our estimates is small, however, because CEO pay changes are tiny relative to changes in firm value. Second, our measure of performance ignores payments to capital. When capital is an important input, a better performance measure is rtVt-1 — ftKt-\, where/, and Kt_i are the risk-free interest rate for period t and the opportunity cost of the capital stock at the beginning of period t. Since / and shareholder return r tend to be uncorrelated, this adjustment will not substantially affect our estimates. Fama and Schwert (1977) TOP-MANAGEMENT INCENTIVES 229 TABLE 1 Estimates of Pay-Performance Sensitivity: Coefficients of Ordinary Least Squares Regressions of A(Salary + Bonus), A(Total Pay), and A(Pay-related Wealth) on Current and Lagced A(Shareholder Wealth) Dependent Variable (in Thousands of 1986 Constant Dollars) Total Pay + Independent A(Salary - h Bonus) A(Total Pay)+ PV[A(Salary + Bonus)]* Variable (1) (2) (3) (4) Intercept 31.7 30.8 36.6 918.0 Change in shareholder .0000135 .0000139 .0000235 .000197 wealth (thousands of (8.0) (8.4) (5.2) (9.7) 1986 dollars) Change in shareholder .0000080 .0000094 .000103 wealth in year t - 1 (5.5) (2.4) (5.8) .0082 .0123 .0041 .0157 Estimated pay-perfor- mance sensitivity, 6§ .0000135 .0000219 .0000329 .000300 F-statistic for b 64.0* 93.0* 28.5* 117.7* Sample size 7,750 7,688 7,688 7,688 Note.—The sample is constructed from longitudinal data reported in Forbes on 1,668 CEOs serving in 1,049 firms for the years 1974-86. A(shareholder wealth) is defined as the beginning-of-period market value multiplied by the inflation-adjusted rate of return on common stock, (-statistics are in parentheses. * Significant at the 0.01 percent level. f The Forbes definition of total compensation typically includes salary, bonus, value of restricted stock, savings and thrift plans, and other benefits but does not include the value of stock options granted or the gains from exercising stock options. * Present value based on the assumption that the CEO receives salary and bonus increment until age 70 at a discount rate of 3 percent. ^ Estimated b is the sum of the coefficients on the contemporaneous and lagged shareholder wealth change find an R2 of .03 between nominal riskless rates and 1-month returns on a value-weighted portfolio of New York Stock Exchange (NYSE) firms. The coefficient on the shareholder wealth variable of b = .0000135 in column 1 is statistically significant (t = 8.0), indicating a positive relation between cash compensation and firm performance. The economic significance of the estimated coefficient is low, however. The coefficients in column 1 imply, for example, that a CEO receives an average pay increase of $31,700 in years in which shareholders earn a zero return and receives on average an additional 1.350 for each $1,000 increase in shareholder wealth. These estimates are comparable with those of Murphy (1985, 1986), Coughlan and Schmidt (1985), and Gibbons and Murphy (1990), who find a pay-performance elasticity of approximately .1: salaries and bonuses in- 23O JOURNAL OF POLITICAL ECONOMY crease by about 1 percent for every 10 percent rise in the value of the firm. Converting this estimate of the pay-performance elasticity to absolute dollars by multiplying by the median pay to value ratio of 0.057 percent (calculated for the 9,976 CEO-years in the Forbes sample for 1974-86) yields an estimated coefficient b = .000057, which is larger than, but consistent with, the estimate in column 1 of table 1. The median annual standard deviation of shareholder wealth changes for firms in our sample is about $200 million, so the average pay change associated with a stockholder wealth change two standard deviations above or below normal (a gain or loss of $400 million) is $5,400. Thus the average pay increase for a CEO whose shareholders gain $400 million is $37,100, compared to an average pay increase of $26,300 for a CEO whose shareholders lose $400 million. Equation (1) assumes that current stock price performance affects current compensation, and yet the timing of performance payments is often ambiguous. At the simplest level, bonus decisions may be made before final fiscal year earnings data are available. In other cases boards may know this year's earnings, but the earnings and stock price changes available at the end of the fiscal year may not correctly incorporate the effects of managerial actions during the year. In addition, bonuses reported in proxy statements sometimes represent bonuses paid for performance in the previous year, and the proxies do not always clearly specify when the bonus payment year differs from the bonus measurement year. Column 2 of table 1 reports coefficients from the following regression, which allows current pay revisions to be based on past as well as current performance: A(CEO salary + bonus), = a + b ^(shareholder wealth), + ^^(shareholder wealth),-1. The coefficient for year ^ — 1 is positive and statistically significant, indicating that last year's performance does matter in the determination of this year's pay revision. The sum of the coefficients, b = b\ + b2 = .0000219, is statistically significant (F = 93.0), suggesting that the CEO receives a total pay revision of 2.2# for each $1,000 change in shareholder wealth. We cannot tell how much of this effect represents a real lag of rewards on performance and how much represents simple measurement errors caused by lags in reporting. We also estimate the relation with three years of lagged shareholder wealth changes with little difference from the results reported in column 2 of table 1; the coefficients on the contemporaneous and first lagged performance variables are essentially unchanged and those on the second and third lags are small in magnitude and statistically insignificant. TOP-MANAGEMENT INCENTIVES 23 1 We reestimate the regression in column 1 of table 1 using 2- and 3-year differences; the results are quantitatively unchanged from those in the table. We also reestimate the regression in column 2 of table 1 after including year dummy variables and separate intercepts for each sample CEO, and the estimated coefficients and their sum are virtually identical to those reported in the table. To allow the pay-performance sensitivity to vary across CEOs, we also estimate separate regressions for each of 717 sample CEOs with five or more observations. The median estimated 2-year pay-performance relation for the sample of individually estimated coefficients is b = .000073, or a median pay raise of 7.3# per $1,000 increase in shareholder wealth. The regressions in columns 1 and 2 of table 1 are based only on the CEO's salary and bonus, but CEOs receive compensation in many additional forms, including deferred compensation, stock options, profit-sharing arrangements, stock grants, savings plans, long-term performance plans, and other fringe benefits. The Forbes surveys include data on many of these other components of compensation. The surveys do not, however, include stock option data prior to 1978, and after 1978 the surveys report gains from exercising options but do not report the value of outstanding options or the value of stock options granted during the year. Column 3 of table 1 reports the relation between total compensation and firm performance based on the Forbes total compensation data, excluding both stock option grants and the gains from exercising stock options. The Forbes definition of total compensation varies somewhat from year to year but in general includes salary, bonus, value of restricted stock, savings and thrift plans, and other benefits. The sum of the estimated coefficients of current and lagged change in shareholder wealth is b = .0000329, indicating that total compensation changes by 3.3tf for each $1,000 change in firm value. The dependent variable in column 3 of table 1 represents the change in the current cash flows accruing to the CEO, while the independent variables represent the discounted present value of the change in all future cash flows accruing to the shareholders. A measure of the change in CEO wealth that is more consistent with the measure of the change in shareholder wealth is current compensation plus the discounted present value of the permanent component of the change in current compensation. Suppose, for example, that CEOs receive only a base salary and that firm performance is rewarded by a permanent shift in the base salary. Then the appropriate measure of the change in CEO wealth is salary + PV(Asalary), where PV(Asalary) is the present value of the salary change from next year through the year in which the CEO leaves the firm. Measuring the discounted present value of a change in current 232 JOURNAL OF POLITICAL ECONOMY compensation is difficult for several reasons. First, Forbes reports only the sum of salaries and bonuses, and while it may be appropriate to include PV(Asalary) in the measure of A(CEO wealth), it is less clear that PV(Abonus) should be included since bonuses may be transitory and not permanent components of income. In addition, assumptions must be made regarding the number of periods remaining over which Asalary will be realized. Even when the firm has a 65-year mandatory retirement age, there is some probability that the CEO will leave the firm before age 65. At the other extreme, pension benefits are generally based on average salaries received during some period shortly before retirement; consequently an increase in salary may increase pension payments to the CEO long after the CEO leaves the firm. The dependent variable in column 4 of table 1 is A(CEO wealth), measured as A(CEO wealth) = total pay + PV[A(salary + bonus)]. The present value of the salary and bonus increment is calculated assuming a real interest rate of 3 percent per year. In order to get an upper bound on the estimate of the pay-performance sensitivity, we assume that all changes in salary and bonus are permanent. We assume that the CEO receives the increment until age 70. If the CEO is younger than 70, we take the present value of his wage change until he reaches 70, but if he is older than 70, we assume that he is in his last year with the firm. The coefficients in column 4 imply that, on average, CEO wealth increases by $918,000 in years in which shareholders earn a zero return (the average CEO total pay excluding stock options for the sample is $575,000). In addition, the estimate for b in column 4 implies that the CEO's pay-related wealth (exclusive of stock options) increases by 30tf for each $1,000 increase in shareholder wealth. Thus the average pay-related wealth increase for a CEO whose shareholders gain $400 million is $1.04 million, compared to an average annual wealth increase of $800,000 for a CEO whose shareholders lose $400 million. Incentives Generated by Stock Options The Forbes definition of total pay excludes stock options, but stock options clearly provide value-increasing incentives for chief executives. Year-to-year stock option grants provide incentives if the size of the grant is based on performance. More important, the change in value of unexercised stock options granted in previous years also provides incentives. TOP-MANAGEMENT INCENTIVES 233 To calculate a more complete measure of the CEO's wealth change, which includes options, we analyzed the proxy statements from Murphy's (1985) sample of 73 Fortune 500 manufacturing firms during the 15-year period 1969—83. Data on stock options, salaries, bonuses, deferred compensation, and fringe benefits from these statements are used to construct a longitudinal sample of 154 CEOs. Total compensation is defined as the sum of salaries, bonuses, fringe benefits, the face value of deferred compensation unadjusted for the cost of restrictions on marketability and the time value of money, and restricted stock awarded during the year (valued at the end-of-year stock price). At the end of each year, CEOs typically hold stock options granted in different years at different exercise prices and exercise dates. The value of all options held by the CEO is calculated by applying the Black-Scholes (1973) valuation formula, which allows for continuously paid dividends (Noreen and Wolfson 1981; Murphy 1985). The value of options held at the end of year t is calculated as t X Nt ■ [STe-dTq>(Zt) - Pte-rT{Zt - crVf)], where Nt is the number of options granted in year t at exercise price Pt, T is the number of months until expiration of these options, r is the average monthly market yield on 5-year government securities in year t, d is the dividend yield in year t — 1 defined as ln[l + (dividends per share/closing stock price)]/12, cr is the estimated standard deviation of stock returns over the previous 60-month period, ST is the stock price at the end of fiscal year t, Z = {\n(ST/Pt) + [r — d + (a2/2)]T}/aVr, and $(•) is the cumulative standard normal distribution function. The change in the value of options held at the end of each year is calculated as the value of the options awarded during the year plus the change in the value of all outstanding options during the year plus the profits (price minus exercise price) from exercising options during the year. Data on actual exercise prices are not available; to get an upper bound on this measure, we assume that options are always exercised at the highest stock price observed during the year. Column 1 of table 2 reports least-squares regression results for the 73-firm sample in which the dependent variable is the change in the value of the CEO's stock options. The sum of the estimated coefficients implies that the value of CEO stock options increases an average of 14.5?! for each $1,000 increase in shareholder wealth. Therefore, the incentives generated by stock options are large relative to the incentives generated by annual changes in cash compensation (3.3tf TABLE 2 Estimates of Pay-Performance Sensitivity Including Stockholdings and Options: Coefficients of Ordinary Least Squares Regressions of A(CEO Wealth) on A(Shareholder Wealth) for CEOs in 73 Manufacturing Firms for 1969-83 Dependent Variable (Thousands of 1986 Constant Dollars Independent Variable A(Value of Stock Options) (1) Total Pay + PV[A(Salary + Bonus)] + A(Value of Stock Options) (2) (3) A(Value of Inside Stock)1 + Total Pay + PV[A(Salary + Bonus)] + A(Value of Stock Options) (4) (5) Intercept Change in shareholder wealth ($ thousands) Change in shareholder wealth in year t — 1 CEO's fractional ownership x change in shareholder wealth R2 Estimated pay-performance sensitivity, b F-statistic for b 79.4 .000105 (8.6) .000040 (3.3) .0807 .000145 58.3* 815.9 .000176 (5.2) .000131 (3.8) .0376 .000307 33.0* 816.1 .000174 (5.0) .000130 (3.8) .00294 (•7) .0381 .000309* 33.2* 818.4 .00118 (4.4) .00031 (1-2) .0216 .00149 12.5* 892.9 .000198 (3.7) .000168 (3.1) 1.020 (145.0) .9610 .0020* 565.2* Note.—Sample size is 877 for all regressions. A{shareholder wealth) is defined as the beginning-of-period market value multiplied by the inflation-adjusted rate of return on common stock. A(value of stock options) includes profits from exercising options, value of options granted in current year, and the change in the value of previously granted options based on Black and Scholes (1973). Total pay includes salary, bonus, value of restricted stock, savings and thrift plans, and other benefits; PV[A(salary + bonus)] is based on the assumption that the CEO receives salary and bonus increment until age 70 at a discount rate of 3 percent, ^-statistics are in parentheses. * Significant at the 0.01 percent level. f Inside stockholdings include shares held by family members and shares for which the CEO is a trustee or cotrustee without beneficial ownership. A(value of inside stock) is defined as the beginning-of-period value of inside stock multiplied by the inflation-adjusted rate of return on common stock. Stock ownership data are unavailable for 50 of the (73 x 15) = 1,095 possible CEO-years. * Estimated b and related test statistic for a CEO with median fractional ownership for the sample, .0016. TOP-MANAGEMENT INCENTIVES 235 per $1,000 from col. 3 of table 1) even though options valued at date of grant account for a relatively small share of the CEO's compensation (8.1 percent for CEOs in the 73-firm sample). Column 2 of table 2 reports regression coefficients for the 73-firm sample in which the dependent variable is the change in all pay-related wealth, defined as A(CEO pay-related wealth) = total pay + PV[A(salary + bonus)] + A(value of stock options). The present value of the salary and bonus increment is again calculated assuming that the CEO receives the salary and bonus increment until age 70 at a real interest rate of 3 percent per year. The sum of the estimated coefficients on the current and lagged shareholder wealth change variables of b = .000307 (F = 33.0) implies that CEO wealth changes by over 30(z! for each $1,000 change in shareholder wealth. To check on potential differences between the 73-firm sample and the Forbes sample, we reestimated the Forbes regression in column 2 of table 1 for the 73 manufacturing firms and obtained b = .0000196 (compared to .0000219 for the Forbes sample). We also reestimated column 2 of table 2 after excluding stock options and obtained b = .0000163 (compared to .000300 as reported in table 1 for the Forbes sample). Incentives Generated by Inside Stock Ownership Stock ownership is another way that an executive's welfare varies directly with the performance of his firm, independent of any link between compensation and performance. Although the process through which CEOs select their equilibrium stockholdings is not well understood, the incentives generated by these shareholdings clearly add to the incentives generated by the compensation package. Stock ownership data for the CEOs in the 73 firms in the manufacturing firm sample were obtained from the proxy statements; these executives held an average of $4.8 million (in 1986 constant dollars) of their firm's common stock in the period 1969—83. When we include shares held by family members and shares for which the CEO serves as a trustee or cotrustee, the average increases to $8.8 million. Year-to-year changes in the value of these holdings often exceed levels of total compensation by orders of magnitude (Lewellen 1971; Benston 1985; Murphy 1985). Column 4 of table 2 reports regression coefficients in which the dependent variable is a measure of the change in the CEO's wealth 236 JOURNAL OF POLITICAL ECONOMY that includes the change in the value of his inside stockholdings. Changes in the value of inside stockholdings are calculated as the value of the shares held at the beginning of the fiscal year multiplied by the realized rate of return on common stock. To get an upper bound on the estimate, inside stock ownership includes shares held by family members and shares for which the CEO is a nonbeneficial trustee or cotrustee, as well as shares held directly. The sum of the shareholder wealth change coefficients in column 4 implies that the wealth of CEOs increases (or decreases) by about $1.50 whenever shareholder wealth increases (or decreases) by $1,000. The difference between the estimated b in columns 2 and 4 suggests that, on average, inside stock ownership plays an important role in providing managerial incentives. Our regression specification in column 2 of table 2 assumes that the pay-performance relation is the same for all executives, regardless of their stockholdings, but it is plausible that b is large and positive for executives with negligible stockholdings but small or even negative for executives with large holdings since their wealth may be tied "too closely" to the performance of their firms. We test for this potential heterogeneity by reestimating the regressions for the 15-year, 73-firm sample after including an interaction term, CEO's fractional ownership x A(shareholder wealth), to capture the effects of ownership on the sensitivity of pay to performance. The dependent variable in the regression in column 3 of table 2 is the change in all pay-related wealth (including stock options but excluding stock ownership). The small and insignificantly positive coefficient of the ownership interaction variable (t = 0.7) implies that the relation between compensation and performance is independent of an executive's stockholdings. The result that the pay-performance relation is not affected by stock ownership seems inconsistent with theory since optimal compensation contracts that provide incentives for managers to create shareholder wealth will not be independent of their shareholdings. The dependent variable in the regression in column 5 of table 2 is the change in CEO wealth, including all forms of compensation plus changes in the value of his individual shareholdings. The coefficient on the interaction term is highly significant (t = 145.0) and close to unity, suggesting that the pay-performance sensitivity for a CEO with nonnegligible stockholdings is closely approximated by his fractional ownership. Since the total pay-performance relation is given by b = .000366 + 1.020 x fractional ownership, the sensitivity for a CEO who owns no stock is equivalent, on average, to stockholdings of 0.0366 percent of the firm. The total pay-performance sensitivity for a CEO with shareholdings of 0.16 percent (the median shareholdings TOP-MANAGEMENT INCENTIVES 237 TABLE 3 CEO Inside Stock Ownership: Summary Statistics and Quintile Boundaries for Percentage and Value of CEO Stock Ownership for 746 CEOs Listed in 1987 Forbes Executive Compensation Survey, by Firm Size CEO Stock Ownership Value of CEO as Percentage of Stockholdings Shares Outstanding ($ Millions) All Small Large All Small Large Firms Firms Firms Firms Firms Firms (1) (2) (3) (4) (5) (6) Mean 2.42% 3.05% 1.79% $41.0 $19.3 $62.6 Median .25 .49 .14 3.5 2.6 4.7 Quintile boundaries: Min less than .01% less than $0 i.l 20% .05 .11 .03 .7 .5 1.2 40% .17 .33 .10 2.5 1.9 3.3 60% .42 .73 .20 5.1 3.6 7.2 80% 1.38 1.95 .75 17.4 10.5 22.6 Max 83.00 83.00 53.50 2,304.2 1,041.0 2,304.2 Median value of equity ($ millions): $1,200 $580 $2,590 Note.—Stock ownership includes shares held by family members and also includes options that can be exercised within 60 days. Small firms have market value below the sample median {$1.2 billion); large firms have market value exceeding the median. for CEOs in the 73-firm sample) is equivalent to b = .0020, or $2.00 per $1,000 change in shareholder wealth. Table 3 summarizes fractional stock ownership data for a much larger sample of CEOs. The 746 CEOs included in the 1987 Forbes Executive Compensation Survey hold an average of 2.4 percent of their firms' common stock, including shares held by family members and options that can be exercised within 60 days. The distribution of inside stock ownership is skewed; the median CEO holds only 0.25 percent of his firm's stock. Twenty percent of the sample CEOs hold less than 0.05 percent of their firms' stock, and 60 percent hold less than 0.42 percent. Small fractional ownership is even more prevalent in the largest Forbes firms (ranked according to market value), where 80 percent of the CEOs hold less than 0.75 percent of their firms' common stock. In dollar terms, table 3 shows that CEOs in the Forbes survey firms hold an average of over $40 million of their firms' stock. Once again, the distribution is skewed: the median stock ownership is only $3.5 million (compared to median 1986 total compensation of $700,000). The CEOs in large firms, while owning a smaller fraction of their firms' common stock, tend to have a larger dollar investment in their firms' shares. 238 JOURNAL OF POLITICAL ECONOMY TABLE 4 Relation between CEO Turnover and Firm Performance: Estimated Logistic Models Predicting CEO Turnover Using Current and Lagged Net-of-Market Shareholder Return for CEOs Grouped According to Age Coefficient Estimates, by Age Group Less than Full 50 Years Between 50 Between 55 Between 60 64 Years Independent Sample Old and 55 and 60 and 64 or Older Variable