Balancing Performance Measures

This paper uses an agency theory model in which the agent's actions are multi-dimensional to analyze the optimal weights to apply to performance measures in a compensation contract. We show how the optimal contract trades off the congruity of the overall performance measure with the desire to minimize the risk imposed upon the agent. In contrast to the single action case, we find that an increase in the sensitivity of a performance measure to an agent's action does not necessarily increase the weight placed on that performance measure, even if that measure is perfectly congruent with the firm's outcome.     

A theory of delegated search for the best alternative

Searching for the best worker, a reliable supply alternative, or the most profitable investment is frequently delegated to an agent. This article develops a theory of delegated search. We show that the principal’s ability to delegate depends on the agent’s luck, her initial resources, and the contract that governs her search. With moral hazard, the optimal contract is characterized by performance deadlines with bonuses for early completion. If performance cannot be specified, the optimal search is implemented by an option‐to‐buy contract for the principal. If performance is partially specified, the optimal contract is a standard pay‐for‐performance arrangement.     

不同市场化进程下高管激励契约的成本与选择:货币薪酬与在职消费

在职消费与货币薪酬不同的适用条件,决定了两者作为激励的契约成本的差异。当市场化程度提高时,相比隐性的在职消费契约,货币薪酬契约成本可能减少得更多,因而在契约组合中会得到更多应用。本文使用市场化指数作为替代变量,对上述推论进行检验。结果发现,市场化指数越高的年份和地区,货币薪酬和在职消费绝对量均为更多,但货币薪酬契约更多地代替了在职消费契约;在相同年份和地区,被保护行业则会显著地抑制这一替代关系。本文将在职消费隐性契约的特点纳入到契约成本的分析中,为不同激励契约间关系的研究增添了新的重要证据;发现了市场化水平对不同激励构成的契约成本的影响,随着市场化进程的深入,在激励契约中,货币薪酬契约对在职消费契约呈边际替代的趋势。     

Optimal risk sharing through renegotiation of simple contracts

We frequently observe that contracts do not include all of the contingencies that would seem to be necessary for optimal risk sharing between the parties to the contract. One reason may be that the possibility of renegotiation makes the contract more contingent than it appears. A simple contracting problem is used to show how even a simple contract may achieve optimal risk sharing if new information arrives slowly relatively to the speed of renegotiation.     

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.     

Relational contracts with subjective peer evaluations

We study optimal dynamic contracting for a firm with multiple workers where compensation is based on public performance signals and privately reported peer evaluations. We show that if evaluation and effort provision are done by different workers (e.g., consider supervisor‐agent hierarchy), first‐best can be achieved even in a static setting. However, if each worker both exerts effort and reports peer evaluations (e.g., consider team setting), effort incentives cannot be decoupled from truth‐telling incentives. This makes the optimal static contract inefficient. Relational contracts based on public signals increase efficiency. Interestingly, the optimal contract may ignore signals that are informative about effort.     

The prevention of excess managerial risk taking

Executives with poor prior performance may be inclined to take excessive risk in the hope of meeting performance targets, in which case a compensation contract featuring severance pay can be optimal. While prior work has shown that severance can induce managers to take positive NPV risks, we show that it can also keep them from taking negative NPV risks. We show that severance should be contingent on results: complete failure should nullify any payments. We also show that mandating a firm size that is larger than first-best, while costly, can help screen for good managers.     

Accounting comparability and relative performance evaluation in CEO compensation

We investigate whether accounting comparability is associated with the likelihood that CEO compensation is tied to relative accounting performance (e.g., return on assets). We predict that higher accounting comparability increases the risk-sharing benefit of accounting-based RPE because peer firm performance better controls for common risk in RPE firm performance. Thus, firms that have higher accounting comparability with potential performance peers will be more likely to include accounting-based RPE as a component of the total CEO compensation contract. We find support for this prediction using (1) an explicit test design that relies on the ex ante terms of CEO compensation contracts obtained from proxy disclosures, and (2) an implicit design that relies on the actual realizations of CEO compensation. To provide further evidence, we examine the association between accounting comparability and the selection of performance peers when the CEO compensation contract includes an accounting-based RPE component. We find that higher comparability between the RPE firm and a potential peer firm increases (decreases) the potential peer firm’s likelihood of being selected into (dropped from) the peer group. Cross-sectional analyses show that this association is less pronounced, or not present, when the relative performance measure is price-based (as opposed to accounting-based), indicating that these results do not merely reflect a more general role of comparability in all RPE contracts.     

Implementing high‐powered contracts to motivate intertemporal effort supply

We characterize the optimal contract between a principal and a risk‐neutral, wealth‐constrained agent when an adverse selection problem follows a moral hazard problem. The optimal contract in this setting often is more steeply sloped for the largest output levels than is the optimal contract in either the standard moral hazard setting or the standard adverse selection setting. The large incremental rewards for exceptional performance motivate the agent to deliver substantial effort both before and after he acquires privileged information about the production environment.     

Margins and Price Limits in Taiwan's Stock Index Futures Market

This study extends the framework of Brennan (1986) to find the cost-minimizing combination of spot limits, futures limits, and margins for stock and index futures in the Taiwan market. Our empirical results show that the cost-minimization combination of margins, spot price limits, and futures price limits is 7 percent, 6 percent, and 6 percent, respectively, when the index level is less than 7,000. When the index level ranges from 7,000 to 9,000, the efficient futures contract calls for a combination of 6.5 percent, 5 percent, and 6 percent. The optimal margin, reneging probability, and corresponding contract cost are less than those without price limits. Price limits may partially substitute for margin requirements in ensuring contract performance, with a default risk lower than the 0.3 percent rate that is accepted by the Taiwan Futures Exchange. On the other hand, though imposing equal price limits of 7 percent on both the spot and futures markets does not coincide with the efficient contract design, it does have a lower contract cost and margin requirement (7.75 percent) than that without imposing price limits (8.25 percent).     

Corporate Insurance as a Necessary Form of Consultant–Investigator Contract

Existing literature argues that corporate insurance is purchased because the insurance company produces risk management information for publicly held corporations. In this article, we address a fundamental question as to why other financial intermediaries cannot perform the same information production function as the insurance company. We argue that when the risk manager of the firm performs multiple tasks and needs consulting and investigation services from an outside agent for efficient risk management, the optimal contract with the agent has to be in the form of an insurance contract. Other types of contracts, such as flat-fee contracts, cannot be optimal. Therefore, the insurance company is ideally suited to provides these services.     

Dynamic performance measurement with intangible assets

The increasing importance of intangible assets in modern economies is driving companies to include measures of intangible assets in managerial performance evaluations. For the multiperiod principal-agent model analyzed in this paper, a manager must be motivated to invest in intangible assets like customer satisfaction or product quality. The intangible asset is not verifiable for contracting purposes, but the parties can rely on a noisy indicator of the current asset value. I derive a class of value added performance measures, which effectively aggregate the current cash flow and consecutive realizations of the noisy indicator of the intangible asset. This class of performance measures is shown to be optimal for different scenarios regarding contract commitment and observability of the actual investment decisions. Long-term contracts are examined as a baseline. However, in practice firms usually adopt shorter medium-term contracts that are periodically renegotiated. I show that this more realistic contracting scenario yields the same investment patterns and efficiency levels as those obtained under long-term commitment.     

Optimal excess-of-loss reinsurance contract with ambiguity aversion in the principal-agent model

ABSTRACT

We discuss an optimal excess-of-loss reinsurance contract in a continuous-time principal-agent framework where the surplus of the insurer (agent/he) is described by a classical Cramér-Lundberg (C-L) model. In addition to reinsurance, the insurer and the reinsurer (principal/she) are both allowed to invest their surpluses into a financial market containing one risk-free asset (e.g. a short-rate account) and one risky asset (e.g. a market index). In this paper, the insurer and the reinsurer are ambiguity averse and have specific modeling risk aversion preferences for the insurance claims (this relates to the jump term in the stochastic models) and the financial market's risk (this encompasses the models' diffusion term). The reinsurer designs a reinsurance contract that maximizes the exponential utility of her terminal wealth under a worst-case scenario which depends on the retention level of the insurer. By employing the dynamic programming approach, we derive the optimal robust reinsurance contract, and the value functions for the reinsurer and the insurer under this contract. In order to provide a more explicit reinsurance contract and to facilitate our quantitative analysis, we discuss the case when the claims follow an exponential distribution; it is then possible to show explicitly the impact of ambiguity aversion on the optimal reinsurance.     

The benefit of life insurance contracts with capped index participation when stock prices are subject to jump risk

We analyze the benefit to the insured of newly traded, innovative life insurance contracts. On a sequence of yearly reference days, the insured can choose between a guaranteed return (linked to the insurer’s asset result) and a capped index participation. The cap is adjusted at the beginning of each year such that both alternatives have the same value and the option to select is costless (product structuring condition). We point out that this condition cannot always be met. If the guaranteed return exceeds the upper bound of the capped index participation, the insurer can make a side profit. We show that a rather low insurance result also implies a rather low stock exposure, even if the insured opts for the index participation. Concerning the impact of the index dynamics, we emphasize that it is important to distinguish between jump and diffusion risk because the pricing of jump risk has an impact on cap rates that can be offered to an insured. Finally, we show that the optimal decision strategy of a CRRA investor implies an index selection even if it is unfairly priced such that the insurer indeed makes a side profit.     

The dynamics of portfolio management contracts

We consider the multiperiod relationship between a client anda portfolio manager and the resulting problem of motivatinga manager of unknown ability to acquire valuable information.We explore the contractual form and the optimal retention policyof the client and find that the optimal initial set of contractsfeatures a smaller performance based fee component paid to themanager than in a first-best contract, and the contract choiceelicits only partial information about the manager. As a result,ex post performance measurement is critical to future recontracting.In general, managers are retained only if the returns on theirportfolio exceed the benchmark by an appropriate amount.     

Optimal information transmission in a holdup problem

This article examines the optimal contract in a bilateral trade model with unobservable relationship‐specific investment and renegotiation. In such a setting, a contract plays an additional role that it does not have in the standard holdup model, namely that of transmitting information between the parties. The article shows that a partial‐disclosure contract may be optimal and describes the optimal contract. If the investment is cooperative and the information between the trading parties is asymmetric, the optimal contract generally cannot result in the first best, but dispensing with either of these assumptions makes the first‐best achievable.     

Executive Compensation, Strategic Competition, and Relative Performance Evaluation: Theory and Evidence

We examine compensation contracts for managers in imperfectly competitive product markets. We show that strategic interactions among firms can explain the lack of relative performance-based incentives in which compensation decreases with rival firm performance. The need to soften product market competition generates an optimal compensation contract that places a positive weight on both own and rival performance. Firms in more competitive industries place greater weight on rival firm performance relative to own firm performance. We find empirical evidence of a positive sensitivity of compensation to rival firm performance that is increasing in the degree of competition in the industry.     

Measuring Asset Values for Cash Settlement in Derivative Markets: Hedonic Repeated Measures Indices and Perpetual Futures

Two proposals are made that may facilitate the creation of derivative market instruments, such as futures contracts, cash settled based on economic indices. The first proposal concerns index number construction: indices based on infrequent measurements of nonstandardized items may control for quality change by using a hedonic repeated measures method, an index number construction method that follows individual assets or subjects through time and also takes account of measured quality variables. The second proposal is to establish markets for perpetual claims on cash flows matching indices of dividends or rents. Such markets may help us to measure the prices of the assets generating these dividends or rents even when the underlying asset prices are difficult or impossible to observe directly. A perpetual futures contract is proposed that would cash settle every day in terms of both the change in the futures price and the dividend or rent index for that day.     

Optimal contracts for research agents

We study the agency problem between a firm and its research employees under several scenarios characterized by different Research and Development (R&D) unit setups. In a multiagent dynamic contracting setting, we describe the precise pattern of the optimal contract. We illustrate that the optimal incentive regime is a function of how agents' efforts interact with one another: relative performance evaluation is used when their efforts are substitutes, whereas joint performance evaluation is used when their efforts are complements. The optimal contract pattern provides a theoretical justification for the compensation policies used by firms that rely on R&D.     

Catastrophe Bonds and Reinsurance: The Competitive Effect of Information-Insensitive Triggers

We identify a new benefit of index or parametric triggers. Asymmetric information between reinsurers on an insurer's risk affects competition in the reinsurance market: reinsurers are subject to adverse selection, since only high-risk insurers may find it optimal to change reinsurers. The result is high reinsurance premiums and cross-subsidization of high-risk insurers by low-risk insurers. A contract with a parametric or index trigger (such as a catastrophe bond) is insensitive to information asymmetry and therefore alters the equilibrium in the reinsurance market. Provided that basis risk is not too high, the introduction of contracts with parametric or index triggers provides low-risk insurers with an alternative to reinsurance contracts, and therefore leads to less cross-subsidization in the reinsurance market.