A Note on Deductible Insurance and Production

This paper examines the optimal production decision of a firm facing revenue risk. We show that the purchase of actuarially fair deductible insurance unambiguously induces the firm to produce more if the firm is not only risk averse but also prudent. If the firm's perferences satisfy constant absolute risk aversion, buying actuarially unfair deductible insurance unambiguously enhances production should the positive loading factor be sufficiently small. When there are moral hazard problems in that the firm's output cannot be contracted upon, we show that the purchase of actuarially fair deductible insurance unambiguously induces the firm to produce more if the firm's utility function is quadratic.     

Signaling with dividends and share repurchases: a choice between deterministic and stochastic cash disbursements

We study firms signaling with cash disbursements and show thatthe choice of a deterministic or a stochastic disbursement dependson a property of the firm's production function that is analogousto absolute risk aversion for a utility function. With decreasing(increasing) absolute risk aversion, the high-quality firm prefersto distinguish itself from the low-quality firm with a stochastic(deterministic) outlay. We then study in detail two common formsof corporate cash distributions: dividends, a deterministicdisbursement, and share repurchases, a stochastic disbursement.     

When Is a Coinsurance‐Type Insurance Policy Inferior or Even Giffen?

This article derives the necessary and sufficient conditions for a coinsurance‐type insurance policy covering a particular risk to be inferior and to be Giffen. Mossin's decreasing absolute risk aversion assumption for insurance to be inferior is avoided. The result generalizes Hoy and Robson and Briys, Dionne, and Eeckhoudt's results to the case with a continuum of states and relaxes their assumption of constant relative risk aversion. It is shown that knowledge about the distribution of risk can be used to relax assumptions on an utility function for a coinsurance‐type insurance policy to be inferior and to be Giffen.     

Optimal Insurance Under Random Auditing

We provide a characterization of an optimal insurance contract (coverage schedule and audit policy) when the monitoring procedure is random. When the policyholder exhibits constant absolute risk aversion, the optimal contract involves a positive indemnity payment with a deductible when the magnitude of damages exceeds a threshold. In such a case, marginal damages are fully covered if the claim is verified. Otherwise, there is an additional deductible that disappears when the damages become infinitely large. Under decreasing absolute risk aversion, providing a positive indemnity payment for small claims with a nonmonotonic coverage schedule may be optimal.     

Incentivizing Calculated Risk‐Taking: Evidence from an Experiment with Commercial Bank Loan Officers

We conduct an experiment with commercial bank loan officers to test how performance compensation affects risk assessment and lending. High‐powered incentives lead to greater screening effort and more profitable lending decisions. This effect is muted, however, by deferred compensation and limited liability, two standard features of loan officer compensation contracts. We find that career concerns and personality traits affect loan officer behavior, but show that the response to incentives does not vary with traits such as risk‐aversion, optimism, or overconfidence. Finally, we present evidence that incentives distort the assessment of credit risk, even among professionals with many years of experience.     

Signalling and the design of delegated management contracts for public utilities

We analyze the shape of contracts between local governments and the contractors they hire to run public facilities on their behalf. Governments are privately informed about the quality of the facility, while risk‐neutral contractors undertake a nonverifiable operating effort. The design of the contract signals the quality of the facility in such a way that the better this quality, the greater the share of operating risk kept by the government. This feature reduces the agent's marginal incentives, creating a tradeoff between signalling and moral hazard. We provide extensions of our framework in several directions, allowing for risk aversion on the agent's side, double moral hazard, and political delegation. The model is supported by some stylized facts from the water industry.     

The form of incentive contracts: agency with moral hazard,risk neutrality,and limited liability

The analysis obtains a complete characterization of the optimal agency contract with moral hazard, risk neutrality, and limited liability. We introduce a “critical ratio” that indicates the returns to providing the agent with incentives for effort in each random state. The form of the contract is debt (a capped bonus) when the critical ratio is increasing (decreasing) in the state. An increasing critical ratio in the state‐space setting corresponds to the hazard rate order for the reduced‐form distribution of output, which we term the “decreasing hazard rate in effort property” (DHREP). The critical ratio also yields insights into agency with adverse selection.     

Management compensation and earnings-based covenants as signaling devices in credit markets

A firm seeks to raise capital in credit markets to fund risky operating activities. The firm has private information about the future cash flows from such activities. Firm owners delegate operating decisions to a manager who privately learns further information about the distribution of those cash flows subsequent to contracting, but before taking actions. Those actions include the selection of which operating activities to pursue and how much hidden effort to exert. At issue initially after introducing the problem is the efficient design of the manager's compensation as a device for signaling private information to lenders as well as for inducing operating decisions. Our results provide conditions under which a Bayesian Nash separating equilibrium satisfying the Cho–Kreps intuitive criterion exists. Broadly speaking, these results suggest that contracts that resolve internal adverse selection and moral hazard problems may serve as signaling devices in efficiently resolving information asymmetries with external parties. Next, we show how earnings-based debt covenants and the selection of conservative accounting methods may eliminate signaling costs altogether.     

Securitization of corporate assets and executive compensation

We examine the effect of corporate asset-backed securitization on managerial compensation. We find that CEO compensation increases after securitization of corporate assets, which is consistent with two distinct theoretical views: (1) asset-backed securitization improves the efficiency of performance-based compensation as corporate performance becomes a better signal of managerial effort and (2) securitization of corporate assets mitigates liquidity constraints so that firms can make more efficient investments. We find that securitization primarily affects short-term accounting components (bonuses) and less equity-based components of the CEO's performance-based compensation. Further investigation reveals support for the second view of liquidity but not the first view of moral hazard. The results are robust to controlling for both possible self-selection biases associated with the decision to rely on asset-backed securitization as a means of external financing and simultaneity between executive compensation and financial decisions (securitization and leverage).     

Precautionary Saving and Consumption Smoothing across Time and Possibilities

This paper examines how aversion to risk and aversion to intertemporal substitution determine the strength of the precautionary saving motive in a two-period model with Selden/Kreps–Porteus preferences. For small risks, we derive a measure of the strength of the precautionary saving motive that generalizes the concept of "prudence" introduced by Kimball (1990b) . For large risks, we show that decreasing absolute risk aversion guarantees that the precautionary saving motive is stronger than risk aversion, regardless of the elasticity of intertemporal substitution. Holding risk preferences fixed, the extent to which the precautionary saving motive is stronger than risk aversion increases with the elasticity of intertemporal substitution. We derive sufficient conditions for a change in risk preferences alone to increase the strength of the precautionary saving motive and for the strength of the precautionary saving motive to decline with wealth. Within the class of constant elasticity of intertemporal substitution, constant-relative risk aversion utility functions, these conditions are also necessary.     

Optimal Contracts with Performance Manipulation

We study optimal compensation contracts that (1) are designed to address a joint moral hazard and adverse selection problem and that (2) are based on performance measures, which may be manipulated by the agent at a cost. In the model, a manager is privately informed about his productivity prior to being hired by a firm. In order to incentivize the manager to exert productive effort, the firm designs a compensation contract that is based on reported earnings, which can be manipulated by the manager. Our model predicts that (1) the optimal compensation contract is convex in reported earnings; (2) the optimal contract is less sensitive to reported earnings than it would be absent the manager's ability to manipulate earnings; and (3) higher costs of manipulating reported earnings (e.g., due to higher governance quality) are associated with higher firm value, lower expected level of earnings management, and higher output.     

Background Risk in the Principal-Agent Model

We examine the effect of background risk in the standard two-state, two-action principal-agent model. We analyse situations where the background risk is environmental (always present) and where the background risk is contractual (only present if the contract is accepted). With contractual background risk, expected wages always rise and the incentive scheme is flatter if the agent's preferences satisfy weak decreasing absolute risk aversion. With environmental background risk, the optimal incentive scheme becomes flatter if the agent is weakly prudent. We provide conditions under which the environmental background risk decreases the agent's expected wage.     

Executive Compensation: A Model of Disclosure Choice

Recent public policy debates have led to increased calls for full transparency of executive compensation. However, in practice, many firms are reluctant to disclose the full details of how they link executive compensation to performance. One possible reason for lack of full disclosure is that managers use their power to hide the details of their compensation plan in order to disguise opportunistic rent extraction. If this is the reason for secrecy, then public policy designed to force firms to provide full disclosure is unlikely to be resisted by shareholders. However, another possible explanation for less than full transparency is that some degree of secrecy about executive compensation may be in the interest of the company and its shareholders. If this explanation is correct, then public policy moves to increase transparency may be met by counter moves designed to protect managers and shareholders from such policies. In this paper we investigate if full disclosure of executive compensation arrangements is always optimal for shareholders. We develop a model where optimal executive remuneration solves a moral hazard problem. However, the degree to which the moral hazard problem affects the shareholders depends on hidden information, so that disclosure of the executive compensation scheme will typically reveal the hidden information, which can be harmful to shareholders. The model derives, therefore, the optimal disclosure policy and the optimal remuneration scheme. We find that the shareholders are better off pre‐committing not to disclose the executive compensation scheme whenever possible. Executive directors are shown to be better off too in the absence of disclosure of executive compensation schemes. An argument for mandating disclosure is that it provides better information to shareholders but our analysis demonstrates that disclosure does not necessarily achieve this objective. The results suggest that less than full disclosure can be in the interest of shareholders, the reason for this being that disclosures cannot be made selectively to shareholders but will also be made to strategic opponents. This will be the case if the board of directors and the remuneration committee includes enough independent directors. Whether or not non‐disclosure to shareholders is in their interest is however an empirical matter involving a trade‐off between the proprietary costs associated with disclosure to shareholders and the costs of potential collusion between executive and non‐executive directors associated with non‐disclosure.     

Measuring Investment Distortions when Risk-Averse Managers Decide Whether to Undertake Risky Projects

We create a dynamic model in which a self-interested, risk-averse manager makes corporate investment decisions at a levered firm with characteristics typical of public US firms. We examine the magnitude of distortions in those decisions when a new project changes firm risk and find expected changes in the values of future tax shields and bankruptcy costs to be important factors. We evaluate the extent to which these distortions vary with firm leverage, debt duration, project size, managerial risk aversion, managerial non-firm wealth, and the structure of management compensation packages     

The Value of Precontract Information About an Agent's Ability in the Presence of Moral Hazard and Adverse Selection

We analyze the expected value of information about an agent's type in the presence of moral hazard and adverse selection. Information about the agent's type enables the principal to sort/screen agents of different types. The value of the information decreases in the variability of output and the agent's risk aversion, two factors that are typically associated with the severity of the moral hazard problem. However, the value of the information about agent type first increases but ultimately decreases in the severity of adverse selection. The decrease comes about because the means available to the principal to induce effort—namely, the pay–performance sensitivity—must also be used to sort/screen agents, and these two goals conflict. This decline in value occurs despite the monotonically increasing importance of the information in determining the principal's expected profits. Further, we show that the peak value of information occurs at a predictable level of adverse selection. These results imply that over some range, the importance of the information will be increasing, and the value of the information will be simultaneously decreasing, in the severity of adverse selection.     

Ex Ante Costs of Violating Absolute Priority in Bankruptcy

A basic question for the design of bankruptcy law concerns whether value should be divided in accordance with absolute priority. Research done in the past decade has suggested that deviations from absolute priority have beneficial ex ante effects. In contrast, this paper shows that ex post deviations from absolute priority also have negative effects on ex ante decisions taken by shareholders. Such deviations aggravate the moral hazard problem with respect to project choice—increasing the equityholders' incentive to favor risky projects—as well as with respect to borrowing and dividend decisions.     

The Spillover effect of compulsory insurance

The assumption usually made in the insurance literature that risks are always insurable at the desired level does not hold in the real world: some risks are not—or are only partially—insurable, while others, such as civil liability or health and workers' injuries, must be fully insured or at least covered for a specific amount. We examine in this paper conditions under which a reduction in the constrained level of insurance for one risk increases the demand of insurance for another independent risk. We show that it is necessary to sign the fourth derivative of the utility function to obtain an unambiguous spillover effect. Three different sufficient conditions are derived if the expected value of the exogenous risk is zero. The first condition is that risk aversion be standard—that is, that absolute risk aversion and absolute prudence be decreasing. The second condition is that absolute risk aversion be decreasing and convex. The third condition is that both the third and the fourth derivatives of the utility function be negative. If the expected value of the exogenous risk is positive, a wealth effect is added to the picture, which goes in the opposite direction if absolute risk aversion is decreasing.     

ESO compensation: The roles of default risk, employee sentiment, and insider information

This paper derives a pricing model for employee stock options (ESO) that includes default risk and considers employee sentiment. Using ESO data from 1992 to 2004, the study finds that the average executive's subjective value is about 55% of the Black-Scholes value. Only employees who over-estimate firm returns (or insiders who know that the firm is under-valued) by about 10% per annum will prefer ESOs over cash compensation. Our model also shows that work incentives offered by ESOs may be far lower than those implied by Black-Scholes but that ESOs may induce less risk-taking behavior, contrary to typical moral hazard arguments. Findings may impact relevant accounting regulations as well as compensation decisions.     

Constant Absolute Risk Aversion Preferences and Constant Equilibrium Interest Rates

This paper constructs a general equilibrium model with endogenous stochastic production and establishes that the equilibrium interest rate can be constant in a closed production economy when the preferences are represented by constant absolute risk aversion utility functions. The results in this paper and their limitations are compared and contrasted with related contributions in the financial economics literature.     

Patent quality and incentives at the patent office

Patent examination is a problem of moral hazard followed by adverse selection: examiners must have incentives to exert effort, but also to truthfully reveal the evidence they find. I develop a theoretical model to study the design of incentives for examiners. The model can explain the puzzling compensation scheme in use at the U.S. patent office, where examiners are essentially rewarded for granting patents, as well as the variation in compensation schemes and patent quality across patent offices. It also has implications for the retention of examiners and for administrative patent review.