On the Lack of Participating Policy Usage by Stock Insurance Companies

Stock insurers can reduce or eliminate agency conflicts between policyholders and stockholders by issuing participating insurance. Despite this benefit, most stock companies don't offer participating contracts. This study explains why. We study an equilibrium with both stock and mutual insurers in which stockholders set premiums to provide a fair expected return on their investment, and with a policyholder who chooses the insurance contract that maximizes her expected utility. We demonstrate that stockholders cannot profitably offer fully participating contracts, but can profitably offer partially participating insurance. However, when the policyholder participation fraction is high, the fair‐return premium is so large that the policyholder always prefers fully participating insurance from the mutual company. Policies with lower levels of policyholder participation are optimal for policyholders with relatively high risk aversion, though such policies are usually prohibited by insurance legislation. Thus, the reason stock insurers rarely issue participating contracts isn't because the potential benefits are small or unimportant. Rather, profitability or regulatory constraints simply prevent stock insurers from exercising those benefits in equilibrium.     

Sustaining implicit contracts when agents have career concerns: the role of information disclosure

Firms often augment career concerns incentives with implicit incentive contracts. I formalize the interaction between these two incentives, and highlight its implications on a firm's decision to disclose its workers' productivity information. Disclosure enhances career concerns but inhibits implicit contracts. I show two main results. First, implicit contracts weaken (i.e., substitute) career concerns if the prior belief about the worker's ability is low, and vice versa. Second, when these incentives are substitutes, the optimal disclosure policy follows a cutoff rule: patient firms are opaque, and transparent firms never offer implicit contracts. These results need not hold if the incentives are complements.     

On the Possibility of Profitable Self-Selection Contracts in Competitive Insurance Markets

Several studies extend the Rothschild–Stiglitz model of competitive insurance contracting with adverse selection by incorporating additional dimensions of private information and conclude that some insurers may earn positive profit in a separating, self-selection equilibrium, provided each insurer is restricted to making a single contract offer. The main result of this article is that these profitable configurations are not sustainable when individual insurers can offer multiple contracts. It is also shown that the ability to offer multiple contracts overturns equilibria that have applicants from different risk classes pooled as well as those where profits are dissipated by a fixed entry cost.     

The Moderating Effect of Relative Performance Evaluation on the Risk Incentive Properties of Executives’ Equity Portfolios

We offer evidence that the use of relative performance evaluation (RPE) in CEOs’ incentive contracts influences the effect of risk‐taking incentives on both the magnitude and composition of firm risk. We find that, when the incentive design lacks RPE features, the incentive portfolio vega motivates CEOs to increase total risk through the systematic component because it can be hedged. In contrast, when the incentive design includes RPE features, CEOs prefer idiosyncratic risk because RPE filters out the systematic component of firm performance. We also document that the use of RPE reinforces the incentive portfolio vega's effect on the total risk.     

The comparative statics of deductible insurance in expected- and non-expected-utility theories

This paper identifies comparative statics results for insurance contracts that distinguish between various models of decision making under risk—specifically, expected utility, rank-dependent expected utility, and weighted utility. Insurance contracts offer full coverage above a deductible. Firms offer premium schedules that give the premium charged as a function of the deductible; households choose both an insurance company and a deductible to maximize utility. A competitive equilibrium requires zero expected profit for firms. We identify changes in the distribution of losses such that the optimal deductible increases for utility representations in a particular class but decreases for some representations outside that class. We give results both for the demand for insurance, as well as for the equilibrium contract.     

Analysis of U.S. savings bonds

U.S. savings bonds are complex contracts. Financial planners have traditionally paid little attention to savings bonds, in part because they often offer below-market interest rates. However, they sometimes offer above-market interest rates, especially when one learns how to view and value their option features. All savings bonds contain put options that protect the investor against a rise in interest rates. Thus, they can be viewed as short-term, intermediate-term, or long-term bonds. The EE bonds also offer several tax options. We show how savings bonds can be used to beat the kiddie tax, to finance postsecondary education, and in retirement planning.     

Vertical relations,opportunism, and welfare

This article revisits the opportunism problem faced by an upstream monopolist contracting with several retailers over secret agreements, when contracts are linear. We characterize the equilibrium under secret contracts and compare it to that under public contracts in a setting allowing for general forms of demand and retail competition. Market distortions are more severe under secret contracts if and only if retailers' instruments are strategic complements. We also investigate the effect of opportunism on firms' profits. Our results remain robust whether retailers hold passive or wary beliefs. We derive some implications for the antitrust analysis of information exchange between firms.     

Adverse Selection in a Model of Real Estate Lending

We provide a rationale for the presence of points in mortgage loan contracts. Our analysis builds on two key features. First, insurance markets are unavailable for labor income. Second, the “due-on-sale” clause allows banks to offer loan contracts which partially insure against fluctuations in labor income. If explicit prepayment penalties are prohibited by law, points serve effectively as prepayment penalties. We also examine environments where such penalties are not prohibited and show that points will be used if interest rates cannot depend on the size of the loan.     

Impacts of Jumps and Stochastic Interest Rates on the Fair Costs of Guaranteed Minimum Death Benefit Contracts

The authors offer a new perspective to the field of guaranteed minimum death benefit contracts, especially for simple return premium and rising floor guarantees. A particular feature of these contracts is a guaranteed capital upon the insured's death. A complete methodology based on the generalized Fourier transform is proposed to investigate the impacts of jumps and stochastic interest rates. This paper thus extends Milevsky and Posner (2001). If jumps alone are considered, similar results are obtained, but, when stochastic interest rates are introduced, the fair costs of the guarantee feature are found to be substantially higher in this more general economy.     

Banking in a Matching Model of Money and Capital

We introduce banks in a model of money and capital with trading frictions. Banks offer demand deposit contracts and hold primary assets to maximize depositors’ utility. If banks’ operating costs are small, banks reallocate liquidity eliminating idle balances and improving the allocation. At moderate costs, idle balances are reduced but not eliminated. At larger costs, banks are redundant. A central bank policy of paying interest on bank reserves can reverse inflation's distortionary effects, and increase welfare, but only when costs are small. The threshold levels of banks’ costs increase with inflation, suggesting inflation and banks’ utilization are positively associated.     

Risk aversion,prudence, and compensation

In a standard principal-agent setting, we use a comparative approach to study the incentives provided by different types of compensation contracts, and their valuation by managers with utility function u who are risk averse (u″<0) and prudent (u″′>0). We show that concave contracts tend to provide more incentives to risk averse managers, while convex contracts tend to be more valued by prudent managers. This is because concave contracts concentrate incentives where the marginal utility of risk averse managers is highest, while convex contracts protect against downside risk. Thus, managerial prudence can contribute to explain the prevalence of stock-options in executive compensation. However, convex contracts are not optimal when the principal is sufficiently prudent relative to the manager.     

Contracting Sequentially with Multiple Lenders: The Role of Menus

We study a credit market in which multiple lenders sequentially offer financing to a single borrower under moral hazard. We show that restricting lenders to post single offers involves a loss of generality: none of the equilibrium outcomes arising in this scenario survives if lenders offer menus of contracts. This result challenges the approach followed in standard models of multiple lending. From a theoretical perspective, we offer new insights on equilibrium robustness in sequential common agency games.     

Systematic mistakes in the mortgage market and lack of financial sophistication

Institutions often offer a menu of contracts to consumers in an attempt to create a separating equilibrium that reveals borrower types and provides better pricing. We test the effectiveness of a specific set of contracts in the mortgage market: mortgage points. Points allow borrowers to exchange an upfront amount for a decrease in the mortgage rate. We document that, on average, points takers lose about $700. Also, points takers are less financially savvy (less educated, older), and they make mistakes on other dimensions (e.g., inefficiently refinancing their mortgages). Overall, our results show that borrowers overestimate how long they will stay with the mortgage.     

Capital markets,financial intermediaries,and liquidity supply

We study a dynamic economy endowed with a sequence of overlapping generations of consumers and production processes, and where productive assets are illiquid and consumption preferences are subject to uninsurable demand for liquidity. We characterize the steady states that can be achieved with alternative financial systems. We show that infinitely lived financial intermediaries offering a liability with age-dependent restrictions may implement a social optimum with full insurance. If, instead, they offer anonymous, unrestricted contracts, then only second-best consumption allocations with partial insurance obtain. We also examine the consumption allocations available when agents can trade shares in competitive stock markets. While allowing for trade across generations may or may not improve upon generational autarky, we show that this competitive equilibrium is not a social optimum, and is dominated by a system of infinitely lived, unrestricted intermediaries.     

Exact Utilities under Alternative Monetary Rules in a Simple Macro Model with Optimizing Agents

We construct an optimizing-agent model of a closed economy which is simple enough that we can use it to make exact utility calculations. There is a stabilization problem because there are one-period nominal contracts for wages, or prices, or both and shocks that are unknown at the time when contracts are signed. We evaluate alternative monetary policy rules using the utility function of the representative agent. Fully optimal policy can attain the Pareto-optimal equilibrium. Fully optimal policy is contrasted with both naive and sophisticated simple rules that involve, respectively, complete stabilization and optimal stabilization of one variable or a combination two variables. With wage contracts, outcomes depend crucially on whether there are also price contracts. For example, if labor supply is relatively inelastic, for productivity shocks, nominal income stabilization yields higher welfare when there are no price contracts. However, with price contracts, outcomes are independent of whether there are wage contracts, except, of course, for the nominal wage.     

Liquidity uncertainty and intermediation

The paper performs a welfare comparison between demand deposit and equity contracts in the presence of intrinsic aggregate uncertainty. In this framework, the welfare dominance of deposit contracts emerges under corner preferences. It is shown that aggregate uncertainty creates high price volatility of ex-dividend equity claims traded in a secondary market and the resulting consumption allocations offer less risk-sharing opportunities to risk-averse consumers than tailor-made deposit contracts. The contingency of early payoffs on depositors’ withdrawal order reinforces the welfare performance of deposit contracts, whereas costly liquidation of productive long-term investments deteriorates their welfare performance relative to equity contracts.     

Levered and inverse VIX ETP option contract adjustments: No harm,no foul?

The terms of exchange-traded stock option contracts are usually adjusted when corporate actions take place. These adjustments are made to safeguard the value of the outstanding option contracts. Recently, a new type of corporate event has appeared − levered and inverse exchange-traded product issuers are reducing leverage ratios with increased frequency. While such changes directly affect option values, no contract adjustments are made, resulting in windfall transfers of wealth from outstanding long to outstanding short option holders. In one instance alone, the transfer was more than $US100 million. To remedy the problem, we offer a simple contract adjustment procedure.     

Standard promotion practices versus up‐or‐out contracts

This article develops a theory concerning the choice between standard promotion practices and up‐or‐out contracts. Our theory is based on asymmetric learning and promotion incentives. We find that firms employ up‐or‐out contracts when firm‐specific human capital is low and standard promotion practices when it is high. We also find that, if commitment to a wage floor is feasible and effort provision is important, up‐or‐out is employed when low‐ and high‐level jobs are similar. These results are consistent with many of the settings in which up‐or‐out is typically observed, such as law firms and academia.     

Complete Versus Incomplete Insurance Contracts under Adverse Selection with Multiple Risks

This article extends the standard adverse-selection model for competitive insurance markets, which assumes a single source of risk, to the case where individuals are subject to multiple risks. We compare the following market situations—the case where insurers can offer comprehensive policies against all sources or risks (complete contracts) and the case where different risks are covered by separate policies (incomplete contracts). In the latter case, we consider whether the insurer of a particular risk has perfect information regarding an individual's coverage against other sources of risks. The analysis emphasizes the informational role of bundling in multidimensional screening. When the market situation allows bundling, it is shown that in equilibrium the low-risk type with respect to a particular source of risk does not necessarily obtain partial coverage against that particular risk.     

Prospect theory and the effectiveness of price limits

Assuming that traders are risk-neutral, Brennan (1986) shows that price limits are effective in improving the efficiency of futures contracts with limited accessibility to information because they obscure the exact loss when they are triggered. However, Brennan's (1986) model fails to explain why price limits also exist in contracts with abundant information like those of financial futures. We show that when traders are loss-averse, the effectiveness of price limits is strengthened even in the presence of precise information. Thus, our analysis provides a theoretical foundation explaining why price limits can be useful when market participants are not fully rational.