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Assessing and valuing the nonlinear structure of hedge fund returns

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  • Antonio Diez De Los Rios
  • René Garcia

Abstract

Several studies have put forward that hedge fund returns exhibit a nonlinear relationship with equity market returns, captured either through constructed portfolios of traded options or piece-wise linear regressions. This paper provides a statistical methodology to unveil such nonlinear features with respect to returns on benchmark risk portfolios. We estimate a portfolio of options that best approximates the returns of a given hedge fund, account for this search in the statistical testing of the nonlinearity, and provide a reliable test for a positive valuation of the fund. We find that not all fund categories exhibit significant nonlinearities, and that only a few strategies provide significant value to investors. Our methodology helps identify individual funds that provide value in an otherwise poorly performing category. Copyright (C) 2010 John Wiley & Sons, Ltd.

Suggested Citation

  • Antonio Diez De Los Rios & René Garcia, 2011. "Assessing and valuing the nonlinear structure of hedge fund returns," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 26(2), pages 193-212, March.
  • Handle: RePEc:wly:japmet:v:26:y:2011:i:2:p:193-212
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    File URL: http://hdl.handle.net/10.1002/jae.1147
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    References listed on IDEAS

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    1. Mark Mitchell, 2001. "Characteristics of Risk and Return in Risk Arbitrage," Journal of Finance, American Finance Association, vol. 56(6), pages 2135-2175, December.
    2. Andrew J. Patton, 2009. "Are "Market Neutral" Hedge Funds Really Market Neutral?," Review of Financial Studies, Society for Financial Studies, vol. 22(7), pages 2295-2330, July.
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    5. Nicholas Chan & Mila Getmansky & Shane M. Haas & Andrew W. Lo, 2007. "Systemic Risk and Hedge Funds," NBER Chapters,in: The Risks of Financial Institutions, pages 235-338 National Bureau of Economic Research, Inc.
    6. Andrews, Donald W K & Ploberger, Werner, 1994. "Optimal Tests When a Nuisance Parameter Is Present Only under the Alternative," Econometrica, Econometric Society, vol. 62(6), pages 1383-1414, November.
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    9. Henriksson, Roy D, 1984. "Market Timing and Mutual Fund Performance: An Empirical Investigation," The Journal of Business, University of Chicago Press, vol. 57(1), pages 73-96, January.
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    13. Fung, William & Hsieh, David A, 2001. "The Risk in Hedge Fund Strategies: Theory and Evidence from Trend Followers," Review of Financial Studies, Society for Financial Studies, vol. 14(2), pages 313-341.
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    Cited by:

    1. Javier Mencía, 2012. "Testing Nonlinear Dependence in the Hedge Fund Industry," Journal of Financial Econometrics, Society for Financial Econometrics, vol. 10(3), pages 545-587, June.
    2. repec:eee:joecas:v:11:y:2014:i:c:p:58-77 is not listed on IDEAS
    3. Antonio Diez de los Rios & René Garcia, 2011. "The option CAPM and the performance of hedge funds," Review of Derivatives Research, Springer, vol. 14(2), pages 137-167, July.
    4. Mila Getmansky & Peter A. Lee & Andrew W. Lo, 2015. "Hedge Funds: A Dynamic Industry In Transition," NBER Working Papers 21449, National Bureau of Economic Research, Inc.
    5. Serge Darolles & Christian Gouriéroux, 2013. "The Effects of Management and Provision Accounts on Hedge Fund Returns - Part I : The High Water Mark Scheme," Working Papers 2013-22, Center for Research in Economics and Statistics.
    6. Roncalli, Thierry & Weisang, Guillaume, 2011. "Tracking Problems, Hedge Fund Replication, and Alternative Beta," Journal of Financial Transformation, Capco Institute, vol. 31, pages 19-29.
    7. Szabolcs Blazsek & Anna Downarowicz, 2013. "Forecasting hedge fund volatility: a Markov regime-switching approach," The European Journal of Finance, Taylor & Francis Journals, vol. 19(4), pages 243-275, April.

    More about this item

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling
    • G1 - Financial Economics - - General Financial Markets

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