Optimal investment decisions when time-horizon is uncertain

Many investors do not know with certainty when their portfolio will be liquidated. Should their portfolio selection be influenced by the uncertainty of exit time? In order to answer this question, we consider a suitable extension of the familiar optimal investment problem of Merton [Merton, R.C., 1971. Optimal consumption and portfolio rules in a continuous-time model. Journal of Economic Theory 3, 373–413], where we allow the conditional distribution function of an agent’s time-horizon to be stochastic and correlated to returns on risky securities. In contrast to existing literature, which has focused on an independent time-horizon, we show that the portfolio decision is affected.     

On moral hazard and nonexclusive contracts

We study an economy where intermediaries compete over contracts in a nonexclusive insurance market affected by moral hazard. In this context, we show that, contrarily to what is commonly believed, market equilibria may fail to be efficient even if the planner is not allowed to enforce exclusivity of trades (third best inefficiency). Our setting is the same as that of Bisin and Guaitoli [Bisin, A., Guaitoli, D., 2004. Moral hazard with nonexclusive contracts. Rand Journal of Economics 2, 306–328]. We hence argue that some of the equilibrium conditions they imposed are not necessary, and we exhibit a set of equilibrium allocations which fail to satisfy them.     

Optimal securities under adverse selection and moral hazard

We consider project financing under adverse selection and moral hazard and derive several interesting results. First, we provide an explanation of why good firms issue both debt and underpriced equity (even if the bankruptcy and agency costs of debt are zero). Second, we show that, in the presence of moral hazard, adverse selection may induce the conversion of negative into positive NPV projects leading to an improvement in social welfare. Third, we provide a rationale for the use of warrants. We also show that a debt–warrant combination can implement the optimal contract. Our results have a number of testable implications.     

Optimal consumption and investment under partial information

We consider a stock market model where prices satisfy a stochastic differential equation with a stochastic drift process. The investor’s objective is to maximize the expected utility of consumption and terminal wealth under partial information; the latter meaning that investment decisions are based on the knowledge of the stock prices only. We derive explicit representations of optimal consumption and trading strategies using Malliavin calculus. The results apply to both classical models for the drift process, a mean reverting Ornstein-Uhlenbeck process and a continuous time Markov chain. The model can be transformed to a complete market model with full information. This allows to use results on optimization under convex constraints which are used in the numerical part for the implementation of more stable strategies. Supported by the Austrian Science Fund FWF, project P17947-N12. We thank two anonymous referees for their comments which led to a considerable improvement of the paper.     

Temporarily asymmetric information and labour contracts

Under the assumption that workers are more heavily credit rationed than firms, the standard model of testing and self-selection in the labour market is extended. The two main findings are that ex post inefficient termination may be used as a self-selection device and that when workers can be of more than two different productivities, only the best worker should be overpaid.     

Supply chain decisions under asymmetric information with cost and fairness concern

ABSTRACT

The two-echelon supply chain including single supplier and single retailer is set, and we study the compact of asymmetric information on the decisions in the supply chain when the both supplier’s private cost information and retailer’s private fairness-concern information are asymmetry between the supply chain members, so as to study the effect of misreporting behavior and fairness concern on the supply chain. By mathematical model derivation and numerical analysis, we prove that the misreporting behavior of supplier will intensify the unfair distribution of supply chain and thus make the supply chain operation further deviate from the optimal condition.     

Securitization and optimal retention under moral hazard

Securitization improves liquidity in capital markets by allowing originators to remove issued loans from its balance sheet and use the proceeds for other purposes. Securitization is often suspected of being one of the main reasons for the recent financial crisis. One concern is that securitization leads to moral hazard in lender screening and monitoring. By selling loans to investors and removing them from their books, banks have a lesser incentive to carefully evaluate and monitor borrowers’ credit quality to ensure that they can repay their loans. One problem in the literature is that the analysis of securitization is very general and suffers from a lack of specific security design analysis under asymmetric information. We address the moral hazard problem using a principal–agent model where the investor is the principal and the lender is the agent. We show that the optimal contract must contain a retention clause in the presence of moral hazard. The optimal retention is affected by tranching and credit enhancement.     

Contracting under ex post moral hazard and non-commitment

This paper characterizes the optimal insurance contract in an environment where an informed agent can misrepresent the state of the world to a principal who cannot credibly commit to an auditing strategy. Because the principal cannot commit, the optimal strategy of the agent is not to tell the truth all the time. Assuming that there are T > 1 possible losses, and that the agent cannot fake an accident (he is constrained only to misreport the size of the loss when a loss occurs), the optimal contract is such that higher losses are over-compensated while lower losses are on average under-compensated. The amount by which higher losses are over-compensated decreases as the loss increases. The optimal contract may then be represented as a simple combination of a deductible, a lump-sum payment and a coinsurance provision.Received: 29 January 1999, Accepted: 26 June 2001, JEL Classification: D82, G2, C72.I would like to thank my dissertation committee Stanley Baiman, David Cummins, Georges Dionne, Neil Doherty and Sharon Tennyson (supervisor) for their insights, as well as Keith Crocker, Steve Coate, Richard Derrig, Michele Piccone and Pascale Viala. The financial help received during my doctoral studies from the Social Sciences and Humanities Research Council of Canada (SSHRC) and the S. S. Huebner Foundation are gratefully acknowledged. This research has been funded by the Fonds pour la Formation de Chercheurs et d'Aide à la Recherche (FCAR-Québec), SSHRC-Canada and the Risk Management Chair at HEC Montréal. The continuing financial support of CIRANO is also appreciated. I am responsible for all errors.     

Optimal deterministic contracting mechanisms for principal-agent problems with moral hazard and adverse selection

For the principal-agent problem with moral hazard and adverse selection we establish that within the collection of all measurable, deterministic contracting mechanisms satisfying the individual rationality and incentive compatibility constraints there exists one that is optimal for a risk averse principal contracting with a risk averse agent. In addition to demonstrating existence, one of the main contributions of the paper is to show that, in general, centralized contracting implemented via a contracting mechanism is equivalent to delegated contracting implemented via a contract menu. Thus, contracting can always be delegated to the agent without gain or loss to the principal. Based on this result, the existence of an optimal contracting mechanism for the principal-agent problem is established by showing that there exists an optimal contract menu for the equivalent delegated contracting problem. Received: 7 October 1994 / Accepted: 14 January 1997     

Inflation and output volatility under asymmetric incomplete information

The assumption of asymmetric and incomplete information in a standard New Keynesian model creates strong incentives for monetary policy transparency. We assume that the central bank has better information about its objectives than the private sector, and that the private sector has better information about shocks than the central bank. Transparency has the potential to trigger a virtuous circle in which all agents find it easier to make inferences and the economy is better stabilised. Our analysis improves upon existing work by endogenising the volatility of both output and inflation. Improved transparency most likely manifests itself in falling output volatility.     

Optimal consumption and investment under time-varying relative risk aversion

We consider the continuous time consumption-investment problem originally formalized and solved by Merton in case of constant relative risk aversion. We present a complete solution for the case where relative risk aversion with respect to consumption varies with time, having in mind an investor with age-dependent risk aversion. This provides a new motivation for life-cycle investment rules. We study the optimal consumption and investment rules, in particular in the case where the relative risk aversion with respect to consumption is increasing with age.     

Entry deterrence under financial intermediation with private information and hidden contracts

We study how financial intermediation affects market entry when an incumbent monopolist enters into non-public, short-term contracts for outside funds. Financial intermediation serves as a commitment device to avoid costly signalling, but at the same time leads to strategic experimentation by the bank. Without public commitment to the financial contract, signal-jamming affects the bank's strategic experiment. Unlike the previous literature on signalling and signal-jamming in entry deterrence in which entry is unaffected or its change indeterminate, the altered strategic experiment has the effect of increasing the amount of entry to the market. Received: 19 January 2004, Accepted: 18 May 2005 JEL Classification: C73, D8, L1 We thank Markus Daniel, Spiros Bougheas, James Peck, Tony Creane, two anonymous referees, the associate editor and seminar participants at the Wissenschaftszentrum Berlin, Emory, Ohio State, and Royal Holloway Universities and the Universities of Wisconsin, Nottingham and East Anglia, as well as Matt Jackson for editorial assistance.     

Dispersed initial ownership and the efficiency of the stock market under moral hazard

We generalize a standard general equilibrium framework extended for moral hazard to allow for a dispersed initial ownership distribution of firms. We show that the market allocation is constrained-efficient only when in each firm the entrepreneur who generates payoffs through unobservable effort has full initial ownership in his firm.     

信息不对称下保险信用缺失分析及防范

当前,保险信用缺失已成为制约保险市场进一步发展的瓶颈。文中从投保人、保险人的逆向选择及道德风险三个方面阐述了保险信用缺失的原因,同时提出了健全我国保险信用体系的对策。     

Dynamic contracting under imperfect public information and asymmetric beliefs

We develop a dynamic principal–agent model to show how imperfect public information and asymmetric beliefs about payoff-relevant parameters, agency conflicts, and the agent's implicit incentives to influence the principal's posterior beliefs through his unobservable actions interact to affect optimal dynamic contracts. We make a methodological contribution to the literature by solving the continuous-time contracting problem using a discrete-time approximation approach. We obtain a simple characterization of optimal renegotiation-proof contracts in terms of the solution to a nonlinear ordinary differential equation (ODE). We then exploit the properties of the ODE to derive a number of novel implications for the dynamics of long-term contracts that alter the intuition gleaned from the previous literature. Optimism has a first-order impact on incentives, investment and output that could reconcile the “private equity” puzzle. Consistent with empirical evidence, the interaction between asymmetric beliefs, risk-sharing and adverse selection costs could cause the time-paths of the agent's incentive intensities to be increasing or decreasing. Our results also suggest that the incorporation of imperfect public information and asymmetric beliefs could potentially reconcile empirical evidence of an ambiguous relation between risk and incentives, and a non-monotonic relation between firm value and incentives. Permanent and transitory components of risk have differing effects on incentives, which suggest that empirical investigations of the link between risk and incentives should appropriately account for different components of risk.     

Project financing,entrepreneurial activity,and investment in the presence of asymmetric information

We analyze a two-period signaling model in which a representative entrepreneur in a regional economy has a project that generates a random cash flow and that requires investment that the entrepreneur raises from a competitive market. The project's type is known to the entrepreneur but not to the investors. Further, the entrepreneur is restricted to issuing debt only or equity only. We first show that there is no separating perfect Bayesian equilibrium (PBE) contract involving the issuance of equity only, that there exists a pooling PBE contract involving the issuance of equity only, and that a debt contract is preferred to an equity contract by our entrepreneur. Next, we suppose that the entrepreneur incurs a non-pecuniary cost of financial distress F > 0 whenever he is unable to make a repayment at time t = 1. We provide conditions on F under which a pooling PBE contract with debt exists and a separating PBE contract with debt and equity exists. Finally, we examine whether a high type entrepreneur will prefer a setting with a cost of financial distress (F > 0) or a setting in which there is no such cost (F = 0).