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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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    Cited by:

    1. Karagiorgis, Ariston & Drakos, Konstantinos, 2022. "The Skewness-Kurtosis plane for non-Gaussian systems: The case of hedge fund returns," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 80(C).
    2. Roumpis, Efthymios & Syriopoulos, Theodore, 2014. "Dynamics and risk factors in hedge funds returns: Implications for portfolio construction and performance evaluation," The Journal of Economic Asymmetries, Elsevier, vol. 11(C), pages 58-77.
    3. Javier Mencía, 2012. "Testing Nonlinear Dependence in the Hedge Fund Industry," Journal of Financial Econometrics, Oxford University Press, vol. 10(3), pages 545-587, June.
    4. Yang, Fan & Havranek, Tomas & Irsova, Zuzana & Novak, Jiri, 2024. "Where Have All the Alphas Gone? A Meta-Analysis of Hedge Fund Performance," EconStor Preprints 289497, ZBW - Leibniz Information Centre for Economics.
    5. 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.
    6. Yang, Fan & Havranek, Tomas & Irsova, Zuzana & Novak, Jiri, 2022. "Hedge Fund Performance: A Quantitative Survey," MetaArXiv vq8cp_v1, Center for Open Science.
    7. Fan Yang & Tomas Havranek & Zuzana Irsova & Jiri Novak, 2024. "Is research on hedge fund performance published selectively? A quantitative survey," Journal of Economic Surveys, Wiley Blackwell, vol. 38(4), pages 1085-1131, September.
    8. G. Hübner & M. Lambert & N. Papageorgiou, 2015. "Higher†moment Risk Exposures in Hedge Funds," European Financial Management, European Financial Management Association, vol. 21(2), pages 236-264, March.
    9. Darolles, Serge & Gourieroux, Christian, 2010. "Conditionally fitted Sharpe performance with an application to hedge fund rating," Journal of Banking & Finance, Elsevier, vol. 34(3), pages 578-593, March.
    10. Chabi-Yo, Fousseni & Huggenberger, Markus & Weigert, Florian, 2022. "Multivariate crash risk," Journal of Financial Economics, Elsevier, vol. 145(1), pages 129-153.
    11. 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.
    12. repec:osf:metaar:ps2yn_v1 is not listed on IDEAS
    13. Andrew W. Lo & Mila Getmansky & Peter A. Lee, 2015. "Hedge Funds: A Dynamic Industry in Transition," Annual Review of Financial Economics, Annual Reviews, vol. 7(1), pages 483-577, December.
    14. 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.
    15. Thierry Roncalli & Guillaume Weisang, 2011. "Tracking Problems, Hedge Fund Replication, and Alternative Beta," Journal of Financial Transformation, Capco Institute, vol. 31, pages 19-29.

    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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