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Published in: Review of Accounting Studies 4/2008

01-12-2008

Tax incentives for inefficient executive pay and reward for luck

Author: Robert F. Göx

Published in: Review of Accounting Studies | Issue 4/2008

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Abstract

I study the economic consequences of tax deductibility limits on salaries for the design of incentive contracts. The analysis is based on an agency model in which the firm’s cash flow is a function of the agent’s effort and an observable random factor beyond the agent’s control. According to my analysis, limiting the tax deductibility of fixed wages has two consequences. The principal rewards the agent on the basis of the observable random factor and adjusts the amount of performance-based pay in the optimal incentive contract. The new contract can have weaker or stronger work incentives than without the tax. The theoretical findings have implications for empirical compensation research. First, the analysis shows that reward for luck can be the optimal response to recent tax law changes, whereas earlier empirical literature has attributed this phenomenon to managerial entrenchment. Second, I demonstrate that a simple regression analysis that fails to control for separable measures of luck is likely to find an increased pay for performance sensitivity as a response to the introduction of tax deductibility limits on salaries even if the pay for performance sensitivity has actually declined.

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Appendix
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Footnotes
1
For qualifying as “performance-based remuneration” a number of requirements must be met, see Balsam and Ryan (1996), or Balsam and Yin (2005) for details and illustrative examples of company practice.
 
2
For more details, see e.g. Hall and Murphy (2003) or Jensen et al. (2004).
 
3
Similar observations are reported in Rose and Wolfram (2000), Balsam and Ryan (2005a, b), who find an increased pay for performance relation for executives hired after the introduction of section 162(m).
 
4
See Bertrand and Mullainathan (2000, 2001). The “skimming hypothesis” has been put forward by practitioners such as Crystal (1991) as well as by academics, such as Bebchuk and Fried (2003), who also refer to it as the “managerial power approach”.
 
5
See e.g. Hemmer (2004), who also provides a critical assessment of the “LEN-model” and its limitations. The formal introduction of the model is frequently attributed to Holmström and Milgrom (1987) but at least the term “LEN-model” goes back to Spremann (1987).
 
6
This result follows from the informativeness principle established by Holmström (1979).
 
7
See e.g. Hemmer (2004), or Christensen and Feltham (2005). A formal derivation of the optimal incentive weight can be found in the Appendix.
 
8
Referring to the terminology of Banker and Datar (1989) b represents the sensitivity and \(1/\sigma _\varepsilon ^2\) the precision of gross cash flow as a signal for the agent’s effort.
 
9
See Fellingham and Wolfson (1985) for a general analysis of optimal contracting in the presence of income taxes.
 
10
These first-order effects apply to an increase of both bonus coefficients, v x and v z . As a second-order effect, however, an increase of v x also increases the cost of effort, which is not the case for v z .
 
11
Condition (24) states that no filtering is preferred for an arbitrary incentive weight v x if \(\Uppi _n (v_x) > \Uppi _f(v_x).\) Because \(\Uppi _n\) and \(\Uppi _f\) are strictly concave in v x , the same relation must also hold for the optimal bonus coefficients \(v_x^n\) and \( v_x^f \) because \(\Uppi _n(v_x^n) > \Uppi _n(v_x)\) for all v x including \( v_x^f,\) so that \(\Uppi _n(v_x^n) > \Uppi _n(v_x^f) > \Uppi _f(v_x^f).\)
 
12
Note that for the unconstrained optimal contract, \(v_z^{\ast}=-c\cdot v_x\) from (12), so that the expected amount of variable pay and the risk premium become \(E[v|v_z^{\ast}]=v_x\cdot b\cdot a\) and \(R(s|v_z^{\ast})=\frac{r}{2}\cdot v_x^2\cdot \sigma _\varepsilon ^2.\)
 
13
See e.g. Christensen and Demski (2003), chapter 11.
 
14
A formal proof of this result is provided in the Appendix.
 
15
This is a standard result in expected utility theory. It holds for most concave utility functions with strict inequality. An exception are exponential utility functions for which the risk premium is a constant. See e.g. Mas-Colell et al. (1995) for a formal proof.
 
16
Because the agent’s effort is modeled as a probability, a is restricted to take values between 0 and 1. See Halperin et al. (2001) for a detailed description of the model details, and the discussion of Sansing (2001) for numerical examples.
 
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Metadata
Title
Tax incentives for inefficient executive pay and reward for luck
Author
Robert F. Göx
Publication date
01-12-2008
Publisher
Springer US
Published in
Review of Accounting Studies / Issue 4/2008
Print ISSN: 1380-6653
Electronic ISSN: 1573-7136
DOI
https://doi.org/10.1007/s11142-007-9057-9

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