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Economic Brief

March 2016, EB16-03

Measuring CEO Compensation
By Arantxa Jarque and David A. Price

Compensation packages for CEOs of large public companies often include
grants of restricted stock and stock options, the value of which to the CEO
depends on the future performance of the firm, as well as on the terms of
the grants. This value, which is key to evaluating the CEO’s incentives, can
be estimated in a number of ways. The authors use measures based on the
expected values and the realized values of pay to compare the compensation of CEOs in a sample of large public U.S. firms and a subset of financial
firms before and after the 2007–08 financial crisis.
The compensation of corporate chief executive officers has long been the subject of public
debate and academic study, particularly since
the major run-up in CEO pay during the 1990s.
In some instances, these controversies have
been rooted in questions about the alignment or
misalignment of incentives between non-owner
CEOs and the firms’ shareholders; in others, they
have been rooted in normative questions about
the justice of CEO pay levels relative to the pay
of other employees. Concerns about the magnitude and structure of CEO pay have motivated
changes during this period to the tax code and
to disclosure and governance requirements for
public companies, and the policy debate in this
area continues.1
While understanding the economic issues surrounding CEO pay presents theoretical and
empirical challenges, it might seem that the
measurement of CEO pay itself would be reasonably straightforward. After all, the Securities
and Exchange Commission has long mandated
the disclosure of pay arrangements for senior
executives at publicly traded companies. But
the measurement of CEO pay presents its own

EB16-03 - Federal Reserve Bank of Richmond

challenges: although CEO pay packages are,
to a large extent, disclosed to investors and
the public, they are nonetheless often opaque
because they tend to include financial instruments such as restricted stock and stock options
that are highly contingent and highly difficult for
observers to value at the time the instruments
are granted. Indeed, it has been argued that
even the compensation committees of corporate
boards do not have good information about the
values of these instruments.2
This Economic Brief looks, first, at how changes
in compensation structures over time may
have led to greater opacity in CEO pay from the
perspective of investors and researchers. It then
describes two widely used approaches to valuing
CEO compensation, which focus on the expected
value of pay, as well as an alternative method
that focuses on realized value of pay. An advantage of the latter is that it relies less heavily on
blanket assumptions about some undisclosed
aspects of pay arrangements, information that
is necessary to approximate the expected value
of the CEO’s stock and option grants. Finally, this
Economic Brief looks at CEO compensation in the

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finance, insurance, and real estate (FIRE) sector to
compare the three methods and shed light on CEO
compensation trends in the FIRE sector relative to
those in the market as a whole.
The Opacity of CEO Pay Packages
Public companies typically pay their CEOs and other
senior executives through a combination of means,
including a salary, variable pay that is based on
performance (a “bonus”), grants of restricted stock,
grants of stock options, and retirement-related
benefits. The recipient commonly gains the right to
exercise a grant of restricted stock or stock options
over a period of three to five years, known as the
“vesting period.” The values of stock and stock option
grants are indirectly based on performance to the
extent that the CEO’s activities influence the firm’s
share price.
The predominant explanation for the use of contingent instruments is that a non-owner CEO presents
a principal-agent problem: depending on how the
CEO (the agent) is paid, his or her interests might
not be well-aligned with those of the shareholders
(the principals). If the CEO’s compensation is entirely
fixed—that is, noncontingent—the CEO may not
have enough incentive to work hard or to take appropriate risks.
In addition to considerations of incentive-setting,
the composition of CEO pay packages is influenced
by the differing tax treatment of different instruments. For CEOs, it is beneficial from a tax perspective to receive compensation in the form of stock or
options. In addition, since 1993, the corporate tax
system has disfavored salary compensation: it places
a $1 million cap on non-performance-based compensation to the CEO that the corporation can deduct from its gross income; in effect, from the firm’s
point of view, any CEO salary amount over $1 million
is paid with post-tax dollars. Research indicates that
this change played a role in the increasing use of
contingent pay.3
A further consideration is differences in the instruments’ regulatory treatment. Research at the Richmond Fed and elsewhere has found that changes in

disclosure requirements and accounting standards
have high explanatory power regarding the composition of CEO pay.4
For researchers seeking to understand CEO pay, the
opacity of some of these instruments is of practical
interest. Salary and bonus payments are the least
opaque; they are just cash payments. But even with
these simple instruments, investors and researchers do not fully understand the incentives involved
without better information. The way in which future
wage and bonus payments depend on the performance of the executive is key, and such details are
not usually disclosed: What leads to a salary increase
or bonus payout, or the lack of one?
Grants of restricted stock or stock options share this
lack of detailed information about the rules followed
by compensation committees to set the grants’ terms.
In addition, the grants are opaque because their exercise in the future is conditional on the CEO having
remained with the firm: the probability that the CEO
will resign or be fired during the relevant period is
generally unknown to researchers (and to investors).
Still another layer of opacity, from the perspective of
researchers, comes from uncertainty about when the
recipient will choose to sell restricted stock shares or
exercise options. This choice may be limited not only
by formal restrictions on the instruments, but also by
informal restrictions (for example, an expectation that
a CEO who wishes to sell his or her shares for the sake
of portfolio diversity will exercise restraint to avoid
sending a bearish signal to the market).
Grants of restricted stock or stock options are also
opaque on account of uncertainty surrounding the
instruments’ value in the future—again, complicating the task of researchers attempting to value the
CEO’s compensation. When attempting to approximate the future value of stock, researchers often use
its current market value. For an option grant, more
sophisticated methods such as the Black-Scholes formula are used to provide some insight into its future
value. Both approaches are thought to be reasonably
good approximations of the value of these assets to
a well-diversified investor who does not face vesting
restrictions. Because CEOs are typically not allowed

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to diversify the risk in their compensation packages,
however, and face both explicit and implicit vesting
restrictions, these valuations remain poor approximations of the value that the CEO actually places
on the stocks and options at the time of the grant.5
Moreover, disclosure rules do not require firms to
reveal the gain that the CEO ultimately derives from
selling stock or exercising options.
As shown in Figure 1, the use of these relatively more
opaque instruments—option grants being the most
opaque, followed by restricted stock grants—in CEO
compensation packages has changed over time. This
data, drawn from the firms in the S&P Execucomp
database (including firms in the S&P 1500) from 1993
through 2014, shows a long-term trend in which a
growing number of firms have turned to stock grants
or stock options or both as components of CEO pay.
In the 2000s, the data also show a marked shift from
stock options to restricted stock grants or a combination of the two; this timing is consistent with firms
reacting to policy changes unfavorable to options
during that period. Among these changes were a
provision of the Sarbanes-Oxley Act of 2002 requiring faster disclosure of option grants and the adoption in 2006 of accounting standards that mandated

the treatment of option grants as expenses. (The
data exclude CEOs who own more than 50 percent
of the firm’s shares because these owner-CEOs do
not present the same incentive issues as others.)
Approaches to Valuing CEO Compensation
Conceptually speaking, there are two primary approaches to measuring a CEO’s annual pay. One approach is to look at the expected value of pay, that is,
the value of salary and bonuses paid plus the expected value of contingent elements such as restricted
stock and stock options. The other, complementary
approach is to look at the realized value of pay, that
is, the amount of money that the CEO receives during the year from all the components of his or her
pay, including salary, bonus, and holdings of stock
and options of the firm due to past grants. (That is,
this approach includes the actual proceeds of stock
sold during the year.)
In practice, economists have used a number of means
of implementing these approaches—without necessarily using either approach in its pure form. Two
important implementations of the expected value
of pay are often referred to as “total direct compensation” and “total yearly compensation.” Total direct

Figure 1:
1: The
Use Use
of Stock
OptionsOptions
and Restricted
in CEO Compensation
Figure
TheChanging
Changing
of Stock
and Stock
Restricted
Stock in CEO Compensation
100
100

60
60

Percent of Firms

Proportion of Firms

8080

40
40
20
20

1993
1996
1999
2002
1993
1996
1999
2002
Firms
Using
Restricted
Stock
But
Not
Options
Firms Using Restricted Stock But Not Options
Firms Using
Firms
UsingBoth
Both

2005
2008
2011
2005
2008
2011
Firms
Using
Options
But
Not
Restricted
Stock
Firms Using Options But Not Restricted Stock
FirmsFirms
Using
Neither
Using
Neither

2014
2014

Sources:
Execucomp
and authors’
calculations
Sources:
Execucomp
and authors'
calculations
Notes:
includes
all firms
the Execucomp
database
those
whose
CEOsare
are majority
owners.
Note:Sample
Sample
includes
allinS&P
1500 firms
exceptexcept
those
whose
CEOs
majority
owners.

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compensation is the simple sum of salary and bonuses paid plus the expected value of any new grants of
stock or options within the year.6 It is reported within
Execucomp as the variable TDC1. Total yearly compensation (TYC) instead considers the incentive role
played by past grants in the current year by adding to
the variable TDC1 the current year’s change in the expected value of the CEO’s stock and option holdings.7
Researchers at the Richmond Fed have proposed an
alternative measure based on the concept of realized
compensation.8 While TYC attributes changes in the
value of unexercised stock grants and stock options
to the current year, realized compensation recognizes only the actual gains from stock grants and stock
options in the year in which they are exercised. This
measure reduces the need to rely on approximate
determinations of the value of the CEO’s holdings of

stock and stock option grants. (It does rely on assumptions about the timing of the exercises within
the year—which is crucial to compute the actual
gains the CEO makes from those trades.)
Figure 2 shows the behavior of expected pay, as
represented by the two measures, direct compensation (the variable TDC1 from Execucomp) and TYC
(calculated using an algorithm created by Gian Luca
Clementi and Thomas F. Cooley of New York University),9 as well as an estimate of realized compensation,
for CEOs in the Execucomp database. The data are
given as median rather than mean values on account
of the skewed distribution of CEO pay, with its highly
compensated outliers.
Notable in the data is the high volatility of TYC, both
in absolute terms and relative to the other mea-

Figure
Three
Ways
to Measure
CEO Compensation
Figure 2:
2: Three
Ways
to Measure
CEO Compensation
10.5

10.5

9.0

9.0

7.5

Millions of 2012 Dollars
Millions of 2012 Dollars

7.5

6.0

6.0

4.5

4.5

3.0

3.0

1.5

1.5

0

0

-1.5

-1.5

3.0

-3.0 1993
1993

1996
1996
Realized Compensation

1999
1999

2002
2002

2005
2005

Total Direct Compensation (TDC)

2008
2008

2011
2011

2014
2014

Total Yearly Compensation (TYC)

Sources: Execucomp and authors’ calculations
Realized Compensation
Direct Compensation (TDC)
Yearly Compensation (TYC)
Notes: Sample includes all firms in the Execucomp database except those whose CEOs are majority owners. Lines show median values.

Sources: Execucomp and authors' calculations
Notes: Sample includes all S&P 1500 firms except those whose CEOs are majority owners.
All three methods measure median compensation.

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sures. This volatility stems from the role in TYC of
unrealized portfolio gains and losses as portfolio
values fluctuate. In addition, the figure illustrates
that realized pay tends to be lower than expected
pay, perhaps more markedly during contractions.

Figure 3: Median CEO Compensation
All Sectors vs. FIRE Sector

Direct
Compensation
(TDC)
Total Direct
Compensation
(TDC)
66

Figure 3 shows how the pay of CEOs in the FIRE
sector has compared to the pay of CEOs in all
sectors on the basis of the two measures of expected pay (total direct compensation and total
yearly compensation) and the measure of realized compensation. For direct compensation, the
figure shows that CEO pay was higher in the FIRE
sector than in all sectors until around 2004; after
that, the two switched places in terms of ranking
as CEO pay in the FIRE sector became relatively
lower than in large firms generally. Also of note is
that total yearly compensation was more volatile for FIRE-sector CEOs before 2004, with CEOs
in that sector experiencing higher gains in several years, though not experiencing correspondingly larger losses in other years. After 2004, the
movement of total yearly compensation in the
FIRE sector was much more consistent with that
in the broader group. Research at the Richmond
Fed found that these differences between the
FIRE sector and all sectors arose from a downward

Millions of 2012 Dollars

33
22
11
00

1993
1993

1996
1996

All Sectors

1999
1999

2002
2002

2005
2005

FIRE Sector

2008
2008

2011
2011

2014
2014

2011
2011

2014
2014

2011
2011

2014
2014

Yearly
Compensation
(TYC)
Total Yearly
Compensation
(TYC)
Millions of 2012 Dollars

3535
3030
2525

Millions of 2012 Dollars

Changes to CEO Pay in the FIRE Sector
A number of the questions about CEO compensation, especially since the financial crisis of 2007–
08, have involved the compensation of financesector CEOs in particular. For example, post-crisis
research has evaluated claims that the crisis was
caused in part by poor incentives in compensation packages of bank CEOs.10

44

2020

S&P 1500

1515

FIRE Sector

1010
55
00
-5-5

1993
1993

1996
1996

All Sectors

1999
1999

2002
2002

2005
2005

2008
2008

FIRE Sector

Realized
Compensation
Realized Compensation
S&P 1500

FIRE Sector

66
55

Millions of 2012 Dollars

To be sure, it is not clear that any measure of CEO
pay should be considered the sole or optimal
measure; a number of measures may have a role
to play in assessing incentive effects and in considering other questions related to CEO pay. It is
also unclear whether opacity in CEO compensation is excessive from a social point of view or is
simply a reflection of the complexity involved in
providing appropriate dynamic incentives.

Millions of 2012 Dollars

55

44
33
22
11
00

1993
1993

1996
1996

All Sectors

1999
1999

2002
2002

2005
2005

FIRE Sector

2008
2008

S&P 1500
FIRE Sector
Sources: Execucomp
and authors’ calculations
Notes: Sample includes all firms in the Execucomp database except those
whose CEOs are majority owners. The FIRE sector includes all finance, insurance,
and real estate firms in the sample.

Page 5

trend in the value of new stock and option grants
beginning in 2003 that accelerated after 2007.11
The data for realized compensation show that CEOs
in the FIRE sector were more highly compensated
until 2007. A detailed analysis of the data behind
these figures shows decreasing gains from trade of
stock in the FIRE sector after 2007 as the main driving
change. While the decline at the time of the 2007–08
financial crisis is unsurprising given declining stock
prices in that sector during the period, lower compensation in the FIRE sector relative to all sectors
persisted.
In conclusion, even though both the value of new
stock and option grants and the gains from trade of
stock started to recover in 2011, CEO pay in the FIRE
sector remained below that in the broader group
through the end of the period (2014) according to
all three measures of pay.
The realized pay measure captures the actual payouts implied by the compensation package of the
CEO given the true performance of the firm. One
important advantage of this measure is that since it
involves recovering from the data the details of the
trades of the CEO, one can construct counterfactual
measures of income: how much money would the
CEO have taken home if his or her firm had been,
instead, one of the top, 95th-percentile performers
(or one of the bottom, 5th-percentile ones). Research
has found that this sensitivity of income to performance is not significantly different for FIRE-sector
CEOs than for the overall group.12
Arantxa Jarque is an economist and David A. Price
is senior editor in the Research Department of the
Federal Reserve Bank of Richmond.

Endnotes
1

T oday’s debates over CEO compensation have antecedents
in broadly similar debates during the 1930s, with the decline
of the owner-manager and the rise of the non-owner CEO
in large U.S. companies. See Harwell Wells, “’No Man Can Be
Worth $1,000,000 a Year’: The Fight Over Executive Compensation in 1930s America,” University of Richmond Law Review,
January 2010, vol. 44, pp. 689–769.

2

S ee the sources cited on p. 273 of Arantxa Jarque, “CEO Compensation: Trends, Market Changes, and Regulation,” Federal
Reserve Bank of Richmond Economic Quarterly, Summer 2008,
vol. 94, no. 3, pp. 265–300.

3

J arque (2008)

4

 elly Shue and Richard Townsend, “Growth through Rigidity:
K
An Explanation for the Rise in CEO Pay,” National Bureau of
Economic Research Working Paper No. 21975, February 2016;
Arantxa Jarque and Brian Gaines,“ Regulation and the Composition of CEO Pay,” Federal Reserve Bank of Richmond Economic
Quarterly, Fourth Quarter 2012, vol. 98, no. 4, pp. 309–348.

5

 rian J. Hall and Kevin J. Murphy, “Stock Options for UndiversiB
fied Executives,” Journal of Accounting and Economics, February
2002, vol. 33, no. 1, pp. 3–42.

6

S ee, for example, Xavier Gabaix and Agustin Landier, “Why
Has CEO Pay Increased So Much?” Quarterly Journal of
Economics, February 2008, vol. 123, no. 1, pp. 49–100; Carola
Frydman and Raven E. Saks, “Executive Compensation: A New
View from a Long-Term Perspective, 1936–2005,” Review of
Financial Studies, May 2010, vol. 23, no. 5, pp. 2099–2138.

7

S ee Rick Antle and Abbie Smith, “Measuring Executive Compensation: Methods and An Application,” Journal of Accounting
Research, Spring 1985, vol. 23, no. 1, pp. 296–325; George-Levi
Gayle and Robert A. Miller, “Has Moral Hazard Become a More
Important Factor in Managerial Compensation?” American Economic Review, December 2009, vol. 99, no. 5, pp. 1740–1769.

8

 rantxa Jarque and John Muth, “Evaluating Executive CompenA
sation Packages,” Federal Reserve Bank of Richmond Economic
Quarterly, Fourth Quarter 2013, vol. 99, no. 4, pp. 251–285.

9

 ian Luca Clementi and Thomas F. Cooley, “Executive ComG
pensation: Facts,” National Bureau of Economic Research
Working Paper No. 15426, October 2009.

10

 üdiger Fahlenbrach and René M. Stulz, “Bank CEO Incentives
R
and the Credit Crisis,” Journal of Financial Economics, January
2011, vol. 99, no. 1, pp. 11–26.

11

Jarque and Muth (2013)

12

Jarque and Muth (2013)

This article may be photocopied or reprinted in its
entirety. Please credit the authors, source, and the
Federal Reserve Bank of Richmond and include the
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FEDERAL RESERVE BANK
OF RICHMOND
Richmond Baltimore Charlotte

Views expressed in this article are those of the authors
and not necessarily those of the Federal Reserve Bank
of Richmond or the Federal Reserve System.

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