High-Water Marks: High Risk Appetites? Convex Compensation, Long Horizons, and Portfolio Choice

We study the portfolio choice of hedge fund managers who are compensated by high-water mark contracts. We find that even risk-neutral managers do not place unbounded weights on risky assets, despite option-like contracts. Instead, they place a constant fraction of funds in a mean-variance efficient portfolio and the rest in the riskless asset, acting as would constant relative risk aversion (CRRA) investors. This result is a direct consequence of the in(de)finite horizon of the contract. We show that the risk-seeking incentives of option-like contracts rely on combining finite horizons and convex compensation schemes rather than on convexity alone. Copyright (c) 2009 The American Finance Association.

[1]  William N. Goetzmann,et al.  High-Water Marks and Hedge Fund Management Contracts , 2001 .

[2]  Ron Kaniel,et al.  Equilibrium Prices in the Presence of Delegated Portfolio Management , 2006 .

[3]  P. Carr Randomization and the American Put , 1996 .

[4]  J. Carpenter,et al.  Does Option Compensation Increase Managerial Risk Appetite? , 1999 .

[5]  Suleyman Basak,et al.  Offsetting the Implicit Incentives: Benefits of Benchmarking in Money Management , 2007 .

[6]  Suleyman Basak,et al.  Offsetting the Incentives: Risk Shifting and Benefits of Benchmarking in Money Management , 2002 .

[7]  W. Fung,et al.  A primer on hedge funds , 1999 .

[8]  D. Duffie Dynamic Asset Pricing Theory , 1992 .

[9]  Jens Carsten Jackwerth,et al.  Incentive Contracts and Hedge Fund Management , 2007 .

[10]  Suleyman Basak,et al.  Risk Management with Benchmarking , 2001, Manag. Sci..

[11]  Stephen A. Ross,et al.  Compensation, Incentives, and the Duality of Risk Aversion and Riskiness , 2004 .

[12]  Sid Browne,et al.  Survival and Growth with a Liability: Optimal Portfolio Strategies in Continuous Time , 1996, Math. Oper. Res..

[13]  W. Fleming,et al.  Controlled Markov processes and viscosity solutions , 1992 .

[14]  Glenn Ellison,et al.  Risk Taking by Mutual Funds as a Response to Incentives , 1995, Journal of Political Economy.

[15]  Richard H. Stockbridge,et al.  Optimal control of the running max , 1991 .

[16]  B. Øksendal Stochastic differential equations : an introduction with applications , 1987 .

[17]  W. Fung,et al.  Empirical Characteristics of Dynamic Trading Strategies: The Case of Hedge Funds , 1997 .