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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.

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Bibliographic Info

Paper provided by Bank of Canada in its series Working Papers with number 06-31.

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Length: 71 pages
Date of creation: 2006
Date of revision:
Handle: RePEc:bca:bocawp:06-31

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Keywords: Econometric and statistical methods; Financial institutions;

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References

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  1. Donald W.K. Andrews & Werner Ploberger, 1992. "Optimal Tests When a Nuisance Parameter Is Present Only Under the Alternative," Cowles Foundation Discussion Papers 1015, Cowles Foundation for Research in Economics, Yale University.
  2. Campbell R. Harvey & Akhtar Siddique, 2000. "Conditional Skewness in Asset Pricing Tests," Journal of Finance, American Finance Association, vol. 55(3), pages 1263-1295, 06.
  3. Hansen, Bruce E, 1996. "Inference When a Nuisance Parameter Is Not Identified under the Null Hypothesis," Econometrica, Econometric Society, vol. 64(2), pages 413-30, March.
  4. 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 313-41.
  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. Vikas Agarwal, 2004. "Risks and Portfolio Decisions Involving Hedge Funds," Review of Financial Studies, Society for Financial Studies, vol. 17(1), pages 63-98.
  7. 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.
  8. Andrew J. Patton, 2004. "Are "market neutral" hedge funds really market neutral?," LSE Research Online Documents on Economics 24819, London School of Economics and Political Science, LSE Library.
  9. Lawrence R. Glosten & Ravi Jagannathan, 1993. "A contingent claim approach to performance evaluation," Staff Report 159, Federal Reserve Bank of Minneapolis.
  10. 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 383-99, June.
  11. Admati, Anat R, et al, 1986. " On Timing and Selectivity," Journal of Finance, American Finance Association, vol. 41(3), pages 715-30, July.
  12. Mark Mitchell, 2001. "Characteristics of Risk and Return in Risk Arbitrage," Journal of Finance, American Finance Association, vol. 56(6), pages 2135-2175, December.
  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.
  14. Posthuma, Nolke & Sluis, Pieter Jelle van der, 2003. "A Reality Check on Hedge Funds Returns," Serie Research Memoranda 0017, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
  15. Merton, Robert C, 1981. "On Market Timing and Investment Performance. I. An Equilibrium Theory of Value for Market Forecasts," The Journal of Business, University of Chicago Press, vol. 54(3), pages 363-406, July.
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Cited by:
  1. Javier Mencía, 2010. "Testing non-linear dependence in the hedge fund industry," Banco de Espa�a Working Papers 1007, Banco de Espa�a.
  2. 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, Centre de Recherche en Economie et Statistique.
  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. Roncalli, Thierry & Weisang, Guillaume, 2008. "Tracking problems, hedge fund replication and alternative beta," MPRA Paper 37358, University Library of Munich, Germany.

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