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The Peer Performance of Hedge Funds

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  • David Ardia
  • Kris Boudt

Abstract

An essential component in the analysis of (hedge) fund returns is to measure its performance with respect to the group of peer funds. Through the analysis of risk-adjusted return percentiles an answer is given to the question how many funds are out-performed by the focal fund. In case all funds perform equally well, this approach will lead a random number between zero and one, depending on how lucky the fund is. We use the false discovery rate approach to construct relative performance ratios that account for the uncertainty in estimating the performance differential of two funds. Our application is on hedge funds, which leads us to develop a test for equality of the modified Sharpe ratio of two funds. The effectiveness of the method is illustrated with a Monte Carlo study and an empirical study is performed on the Hedge Fund Research database.

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Bibliographic Info

Paper provided by CIRPEE in its series Cahiers de recherche with number 1329.

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Date of creation: 2013
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Handle: RePEc:lvl:lacicr:1329

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Keywords: equal-performance ratio; false discovery rate; hedge fund; modified Sharpe ratio; out-performance ratio; peer group; performance measurement;

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  1. Olivier Scaillet & Laurent Barras & Russell R. Wermers, 2005. "False Discoveries in Mutual Fund Performance: Measuring Luck in Estimated Alphas," Working Papers CEB 05-014.RS, ULB -- Universite Libre de Bruxelles.
  2. John D. Storey, 2002. "A direct approach to false discovery rates," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 64(3), pages 479-498.
  3. Pierre Bajgrowicz & Olivier Scaillet, 2007. "Technical Trading Revisited: False Discoveries, Persistence Tests, and Transaction Costs," Swiss Finance Institute Research Paper Series 08-05, Swiss Finance Institute, revised Jul 2009.
  4. Carhart, Mark M, 1997. " On Persistence in Mutual Fund Performance," Journal of Finance, American Finance Association, vol. 52(1), pages 57-82, March.
  5. Scott, Robert C & Horvath, Philip A, 1980. " On the Direction of Preference for Moments of Higher Order Than the Variance," Journal of Finance, American Finance Association, vol. 35(4), pages 915-19, September.
  6. Donald W.K. Andrews, 1988. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Cowles Foundation Discussion Papers 877R, Cowles Foundation for Research in Economics, Yale University, revised Jul 1989.
  7. Treynor, Jack L & Black, Fischer, 1973. "How to Use Security Analysis to Improve Portfolio Selection," The Journal of Business, University of Chicago Press, vol. 46(1), pages 66-86, January.
  8. Dimitris Politis & Halbert White, 2004. "Automatic Block-Length Selection for the Dependent Bootstrap," Econometric Reviews, Taylor & Francis Journals, vol. 23(1), pages 53-70.
  9. Ledoit, Oliver & Wolf, Michael, 2008. "Robust performance hypothesis testing with the Sharpe ratio," Journal of Empirical Finance, Elsevier, vol. 15(5), pages 850-859, December.
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