Evaluating Hedge Funds with Pooled Benchmarks

The evaluation of hedge fund performance is challenging given the flexible nature of hedge funds’ strategies and their lack of operational transparency. The conventional method relies on the use of a single benchmark model that is typically identified using model selection criteria. This approach is problematic since inference about skill is inevitably contaminated by the error in the benchmark model. To address this concern, we propose a model pooling approach. The paper employs a fund-specific benchmark obtained by pooling a set of diverse models to evaluate hedge fund performance. The weights assigned to the individual models in the pool are based on the log score criterion, a measure of the conditional performance of a model. We illustrate the advantages of a pooled benchmark over alternative approaches, including the widely used Fung and Hsieh (2004) model and stepwise regression methods, in a variety of contexts including a real-time investment strategy, hedge fund replication, and fund failure prediction.

[1]  George E. P. Box,et al.  Sampling and Bayes' inference in scientific modelling and robustness , 1980 .

[2]  Sheridan Titman,et al.  Do the Best Hedge Funds Hedge? , 2008 .

[3]  Igor Makarov,et al.  An econometric model of serial correlation and illiquidity in hedge fund returns , 2004 .

[4]  Bing Liang,et al.  Share Restrictions and Investor Flows in the Hedge Fund Industry , 2015 .

[5]  J. Geweke,et al.  Optimal Prediction Pools , 2008 .

[6]  J. Stock,et al.  Combination forecasts of output growth in a seven-country data set , 2004 .

[7]  William N. Goetzmann,et al.  Offshore Hedge Funds: Survival and Performance 1989-1995 , 1997 .

[8]  Guofu Zhou,et al.  Out-of-Sample Equity Premium Prediction: Combination Forecasts and Links to the Real Economy , 2009 .

[9]  V. Agarwal,et al.  Multi-Period Performance Persistence Analysis of Hedge Funds , 1999, Journal of Financial and Quantitative Analysis.

[10]  Nicolas P. B. Bollen,et al.  Hedge Fund Risk Dynamics: Implications for Performance Appraisal , 2007 .

[11]  Robert L. Winkler,et al.  Scoring Rules, Generalized Entropy, and Utility Maximization , 2008, Oper. Res..

[12]  Turan G. Bali,et al.  Systematic Risk and the Cross-Section of Hedge Fund Returns , 2011 .

[13]  W. Ferson Investment Performance Evaluation , 2010 .

[14]  Mark M. Carhart On Persistence in Mutual Fund Performance , 1997 .

[15]  Neng Wang,et al.  The Economics of Hedge Funds , 2012 .

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

[17]  Georges Hübner,et al.  An Analysis of Hedge Fund Performance , 2003 .

[18]  Victor DeMiguel,et al.  Optimal Versus Naive Diversification: How Inefficient is the 1/N Portfolio Strategy? , 2009 .

[19]  Gianni Amisano,et al.  Comparing Density Forecasts via Weighted Likelihood Ratio Tests , 2007 .

[20]  Michael P. Clements,et al.  Forecast Combination and Encompassing , 2009 .

[21]  N. Naik,et al.  On Taking the ‘ Alternative ' Route : Risks , Rewards and Performance Persistence of Hedge Funds Vikas , 1999 .

[22]  Aki Vehtari,et al.  Understanding predictive information criteria for Bayesian models , 2013, Statistics and Computing.

[23]  W. Fung,et al.  The Risk in Hedge Fund Strategies: Theory and Evidence from Trend Followers , 2001 .

[24]  Melvyn Teo,et al.  Hedge Funds, Managerial Skill, and Macroeconomic Variables , 2009 .

[25]  Marno Verbeek,et al.  Survival, Look-Ahead Bias and the Persistence in Hedge Fund Performance , 2002 .

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

[27]  R. Clemen Combining forecasts: A review and annotated bibliography , 1989 .

[28]  A. Timmermann,et al.  Forecasts of Us Short-Term Interest Rates: A Flexible Forecast Combination Approach , 2006 .

[29]  Nicolas P. B. Bollen Zero-R2 Hedge Funds and Market Neutrality , 2011 .

[30]  J. M. Bates,et al.  The Combination of Forecasts , 1969 .

[31]  Modeling the Cross Section of Stock Returns: A Model Pooling Approach , 2011 .

[32]  Michael S. O'Doherty,et al.  Evaluating Hedge Funds with Pooled Benchmarks , 2014 .

[33]  Andrew J. Patton,et al.  On the High-Frequency Dynamics of Hedge Fund Risk Exposures , 2011 .

[34]  Stephen J. Brown,et al.  Model Selection When There Is "Minimal" Prior Information , 1984 .

[35]  J. Stock,et al.  Forecasting Output and Inflation: The Role of Asset Prices , 2001 .

[36]  W. Newey,et al.  A Simple, Positive Semi-Definite, Heteroskedasticity and Autocorrelationconsistent Covariance Matrix , 1986 .

[37]  S. Hall,et al.  Combining density forecasts , 2007 .

[38]  F. Diebold,et al.  Forecast Evaluation and Combination , 1996 .

[39]  Lu Zheng,et al.  The Road Less Traveled: Strategy Distinctiveness and Hedge Fund Performance , 2009 .

[40]  Keith H. Black Do Hedge Funds Deliver Alpha? A Bayesian and Bootstrap Analysis , 2007 .

[41]  D.,et al.  Regression Models and Life-Tables , 2022 .

[42]  W. Heath The Difference: How the Power of Diversity Creates Better Groups, Firms, Schools, and Societies , 2008 .

[43]  David A. Hsieh,et al.  Hedge Fund Benchmarks: A Risk-Based Approach , 2004 .

[44]  E. Fama,et al.  Luck Versus Skill in the Cross Section of Mutual Fund Returns , 2009 .

[45]  E. Fama,et al.  Common risk factors in the returns on stocks and bonds , 1993 .

[46]  Bing Liang On the Performance of Hedge Funds , 1998 .

[47]  Halbert White,et al.  Tests of Conditional Predictive Ability , 2003 .

[48]  R. Green,et al.  Information Spillovers and Performance Persistence for Hedge Funds , 2010 .

[49]  W. Sharpe Asset allocation , 1992 .

[50]  V. Agarwal,et al.  Risks and Portfolio Decisions Involving Hedge Funds , 2004 .

[51]  A. Zellner An Introduction to Bayesian Inference in Econometrics , 1971 .

[52]  David Hsieh,et al.  Performance Characteristics of Hedge Funds and Commodity Funds: Natural vs. Spurious Biases , 2000, Journal of Financial and Quantitative Analysis.

[53]  Andrew Ang,et al.  Hedge Fund Leverage , 2010 .

[54]  W. Ferson Ruminations on Investment Performance Measurement , 2013 .

[55]  C. Peake,et al.  Hedge Funds: Performance, Risk, and Capital Formation , 2009 .