[This article presents a market equilibrium model of CEO assignment, pay, and incentives under risk aversion and moral hazard. Each of the three outcomes can be summarized by a single closed-form equation. In the presence of moral hazard, assignment is distorted from positive assortative matching on firm size as firms with higher risk or disutility choose less talented CEOs. Such firms also pay higher salaries in the cross-section, but economy-wide increases in risk or the disutility of being a CEO do not affect pay. The strength of incentives depends only on the disutility of effort and is independent of risk and risk aversion. If the CEO can affect firm risk, incentives rise and are increasing in risk and risk aversion. We calibrate the losses from various forms of poor corporate governance, such as failures in monitoring and inefficiencies in CEO assignment.]

[This article develops a framework that delivers tractable (i.e., closed-form) optimal contracts, with few restrictions on the utility function, cost of effort, or noise distribution. By modeling the noise before the action in each period, we force the contract to provide correct incentives state-by-state, rather than merely on average. This tightly constraints the set of admissible contracts and allows for a simple solution to the contracting problem. Our results continue to hold in continuous time, where noise and actions are simultaneous. We illustrate the potential usefulness of our setup by a series of examples related to CEO incentives. In particular, the model derives predictions for the optimal measure of incentives and whether the contract should be convex, concave, or linear.]

[This paper presents a unified theory of both the level and sensitivity of pay in competitive market equilibrium, by embedding a moral hazard problem into a talent assignment model. By considering multiplicative specifications for the CEO's utility and production functions, we generate a number of different results from traditional additive models. First, both the CEO's low fractional ownership (the Jensen-Murphy incentives measure) and its negative relationship with firm size can be quantitatively reconciled with optimal contracting, and thus need not reflect rent extraction. Second, the dollar change in wealth for a percentage change in firm value, divided by annual pay, is independent of firm size, and therefore a desirable empirical measure of incentives. Third, incentive pay is effective at solving agency problems with multiplicative impacts on firm value, such as strategy choice. However, additive issues such as perk consumption are best addressed through direct monitoring.]

This article presents a market equilibrium model of CEO assignment, pay, and incentives under risk aversion and moral hazard. Each of the three outcomes can be summarized by a single closed-form equation. In the presence of moral hazard, assignment is distorted from positive assortative matching on firm size as firms with higher risk or disutility choose less talented CEOs. Such firms also pay higher salaries in the cross-section, but economywide increases in risk or the disutility of being a CEO do not affect pay. The strength of incentives depends only on the disutility of effort and is independent of risk and risk aversion. If the CEO can affect firm risk, incentives rise and are increasing in risk and risk aversion. We calibrate the losses from various forms of poor corporate governance, such as failures in monitoring and inefficiencies in CEO assignment. (JEL G34, J33) This article presents a market equilibrium model of CEO assignment, pay, and incentives. Risk-averse managers of different talents are hired in a competitive market by heterogeneous firms, which vary in their size, risk, and level of effort required. The level of pay drives the assignment of talent to firms. The strength of incentives induces the efficient effort level, and is determined by an optimal

This article develops a framework that delivers tractable (i.e., closed-form) optimal contracts, with few restrictions on the utility function, cost of effort, or noise distribution. By modeling the noise before the action in each period, we force the contract to provide correct incentives state-by-state, rather than merely on average. This tightly constrains the set of admissible contracts and allows for a simple solution to the contracting problem. Our results continue to hold in continuous time, where noise and actions are simultaneous. We illustrate the potential usefulness of our setup by a series of examples related to CEO incentives. In particular, the model derives predictions for the optimal measure of incentives and whether the contract should be convex, concave, or linear.

This paper presents a unified theory of both the level and sensitivity of pay in competitive market equilibrium, by embedding a moral hazard problem into a talent assignment model. By considering multiplicative specifications for the CEO's utility and production functions, we generate a number of different results from traditional additive models. First, both the CEO's low fractional ownership (the Jensen–Murphy incentives measure) and its negative relationship with firm size can be quantitatively reconciled with optimal contracting, and thus need not reflect rent extraction. Second, the dollar change in wealth for a percentage change in firm value, divided by annual pay, is independent of firm size, and therefore a desirable empirical measure of incentives. Third, incentive pay is effective at solving agency problems with multiplicative impacts on firm value, such as strategy choice. However, additive issues such as perk consumption are best addressed through direct monitoring.