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Assessing and Valuing the Non-Linear Structure of Hedge Fund Returns

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  • Antonio Diez de los Rios
  • René Garcia

Abstract

Several studies have put forward the non-linear structure and option-like features of returns associated with hedge fund strategies. The authors provide a statistical methodology to test for such non-linear features with the returns on any benchmark portfolio. They estimate the portfolio of options that best approximates the returns of a given hedge fund, account for this search in the statistical testing of the contingent claim features, and test whether the identified non-linear features have a positive value. The authors find that not all categories of funds exhibit significant non-linearities, and that only a few strategies as a group provide significant value to investors. Individual funds may still provide value in an otherwise poorly performing category.

Suggested Citation

  • Antonio Diez de los Rios & René Garcia, 2006. "Assessing and Valuing the Non-Linear Structure of Hedge Fund Returns," Staff Working Papers 06-31, Bank of Canada.
  • Handle: RePEc:bca:bocawp:06-31
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    References listed on IDEAS

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    1. Hansen, Bruce E, 1996. "Inference When a Nuisance Parameter Is Not Identified under the Null Hypothesis," Econometrica, Econometric Society, vol. 64(2), pages 413-430, March.
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    3. Hansen, Bruce E., 2000. "Testing for structural change in conditional models," Journal of Econometrics, Elsevier, vol. 97(1), pages 93-115, July.
    4. 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.
    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.
    7. 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.
    8. Dybvig, Philip H & Ross, Stephen A, 1985. " Differential Information and Performance Measurement Using a Security Market Line," Journal of Finance, American Finance Association, vol. 40(2), pages 383-399, June.
    9. Vikas Agarwal, 2004. "Risks and Portfolio Decisions Involving Hedge Funds," Review of Financial Studies, Society for Financial Studies, vol. 17(1), pages 63-98.
    10. Glosten, L. R. & Jagannathan, R., 1994. "A contingent claim approach to performance evaluation," Journal of Empirical Finance, Elsevier, vol. 1(2), pages 133-160, January.
    11. Robert B. Davies, 2002. "Hypothesis testing when a nuisance parameter is present only under the alternative: Linear model case," Biometrika, Biometrika Trust, vol. 89(2), pages 484-489, June.
    12. Admati, Anat R, et al, 1986. " On Timing and Selectivity," Journal of Finance, American Finance Association, vol. 41(3), pages 715-730, July.
    13. 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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    Citations

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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. 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.
    3. 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.
    4. repec:eee:joecas:v:11:y:2014:i:c:p:58-77 is not listed on IDEAS
    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. 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.
    7. Roncalli, Thierry & Weisang, Guillaume, 2011. "Tracking Problems, Hedge Fund Replication, and Alternative Beta," Journal of Financial Transformation, Capco Institute, vol. 31, pages 19-29.

    More about this item

    Keywords

    Econometric and statistical methods; Financial institutions;

    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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