IDEAS home Printed from https://ideas.repec.org/p/tse/wpaper/123176.html
   My bibliography  Save this paper

Nonparametric Assessment of Hedge Fund Performance

Author

Listed:
  • Almeida, Caio
  • Ardison, Kim
  • Garcia, René

Abstract

We propose a new class of performance measures for Hedge Fund (HF) returns based on a family of empirically identiable stochastic discount factors (SDFs). The SDF-based measures incorporate no-arbitrage pricing restrictions and naturally embed information about higher-order mixed moments between HF and benchmark factors returns. We provide a full asymptotic theory for our SDF estimators to test for the statistical signicance of each fund's performance and for the relevance of individual benchmark factors within each proposed measure. We apply our methodology to a panel of 4815 individual hedge funds. Our empirical analysis reveals that fewer funds have a statistically signicant positive alpha compared to the Jensen's alpha obtained by the traditional linear regression approach. Moreover, the funds' rankings vary considerably between the two approaches. Performance also varies between the members of our family because of a dierent fund exposure to higherorder moments of the benchmark factors, highlighting the potential heterogeneity across investors in evaluating performance.

Suggested Citation

  • Almeida, Caio & Ardison, Kim & Garcia, René, 2019. "Nonparametric Assessment of Hedge Fund Performance," TSE Working Papers 19-1024, Toulouse School of Economics (TSE).
  • Handle: RePEc:tse:wpaper:123176
    as

    Download full text from publisher

    File URL: https://www.tse-fr.eu/sites/default/files/TSE/documents/doc/wp/2019/wp_tse_1024.pdf
    File Function: Full Text
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. David Backus & Mikhail Chernov & Ian Martin, 2011. "Disasters Implied by Equity Index Options," Journal of Finance, American Finance Association, vol. 66(6), pages 1969-2012, December.
    2. Nicolas P. B. Bollen & Veronika K. Pool, 2012. "Suspicious Patterns in Hedge Fund Returns and the Risk of Fraud," The Review of Financial Studies, Society for Financial Studies, vol. 25(9), pages 2673-2702.
    3. Bali, Turan G. & Brown, Stephen J. & Caglayan, Mustafa Onur, 2011. "Do hedge funds' exposures to risk factors predict their future returns?," Journal of Financial Economics, Elsevier, vol. 101(1), pages 36-68, July.
    4. Whitney K. Newey & Richard J. Smith, 2004. "Higher Order Properties of Gmm and Generalized Empirical Likelihood Estimators," Econometrica, Econometric Society, vol. 72(1), pages 219-255, January.
    5. Wayne Ferson & Jerchern Lin, 2014. "Alpha and Performance Measurement: The Effects of Investor Disagreement and Heterogeneity," Journal of Finance, American Finance Association, vol. 69(4), pages 1565-1596, August.
    6. Caio Almeida & René Garcia, 2017. "Economic Implications of Nonlinear Pricing Kernels," Management Science, INFORMS, vol. 63(10), pages 3361-3380, October.
    7. Andrew J. Patton, 2009. "Are "Market Neutral" Hedge Funds Really Market Neutral?," The Review of Financial Studies, Society for Financial Studies, vol. 22(7), pages 2295-2330, July.
    8. Monica Billio & Gregory Jannin & Bertrand Maillet & Loriana Pelizzon, 2013. "Portfolio Performance Measure and A New Generalized Utility-based N-moment Measure," Working Papers 2013:22, Department of Economics, University of Venice "Ca' Foscari".
    9. Caio Almeida & Kym Ardison & René Garcia & Jose Vicente, 2017. "Nonparametric Tail Risk, Stock Returns, and the Macroeconomy," Journal of Financial Econometrics, Oxford University Press, vol. 15(3), pages 333-376.
    10. Vikas Agarwal, 2004. "Risks and Portfolio Decisions Involving Hedge Funds," The Review of Financial Studies, Society for Financial Studies, vol. 17(1), pages 63-98.
    11. David Backus & Mikhail Chernov & Stanley Zin, 2014. "Sources of Entropy in Representative Agent Models," Journal of Finance, American Finance Association, vol. 69(1), pages 51-99, February.
    12. Capocci, Daniel & Hubner, Georges, 2004. "Analysis of hedge fund performance," Journal of Empirical Finance, Elsevier, vol. 11(1), pages 55-89, January.
    13. Paul Karehnke & Frans de Roon, 2020. "Spanning Tests for Assets with Option-Like Payoffs: The Case of Hedge Funds," Management Science, INFORMS, vol. 66(12), pages 5969-5989, December.
    14. Ferson, Wayne & Mo, Haitao, 2016. "Performance measurement with selectivity, market and volatility timing," Journal of Financial Economics, Elsevier, vol. 121(1), pages 93-110.
    15. Chen, Zhiwu & Knez, Peter J, 1996. "Portfolio Performance Measurement: Theory and Applications," The Review of Financial Studies, Society for Financial Studies, vol. 9(2), pages 511-555.
    16. JAMES G. MacKINNON, 2006. "Bootstrap Methods in Econometrics," The Economic Record, The Economic Society of Australia, vol. 82(s1), pages 2-18, September.
    17. Hansen, Lars Peter & Jagannathan, Ravi, 1991. "Implications of Security Market Data for Models of Dynamic Economies," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 225-262, April.
    18. 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.
    19. Caio Almeida & Kym Ardison & René Garcia & Jose Vicente, 2017. "Erratum to Rejoinder on: Nonparametric Tail Risk, Stock Returns, and the Macroeconomy," Journal of Financial Econometrics, Oxford University Press, vol. 15(3), pages 504-504.
    20. Yuichi Kitamura & Michael Stutzer, 1997. "An Information-Theoretic Alternative to Generalized Method of Moments Estimation," Econometrica, Econometric Society, vol. 65(4), pages 861-874, July.
    21. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    22. Robert Kosowski, 2011. "Do Mutual Funds Perform When It Matters Most to Investors? US Mutual Fund Performance and Risk in Recessions and Expansions," Quarterly Journal of Finance (QJF), World Scientific Publishing Co. Pte. Ltd., vol. 1(03), pages 607-664.
    23. Carhart, Mark M, 1997. "On Persistence in Mutual Fund Performance," Journal of Finance, American Finance Association, vol. 52(1), pages 57-82, March.
    24. Caio Almeida & Kym Ardison & René Garcia & Jose Vicente, 2017. "Rejoinder on: Nonparametric Tail Risk, Stock Returns, and the Macroeconomy," Journal of Financial Econometrics, Oxford University Press, vol. 15(3), pages 418-426.
    25. Stutzer, Michael, 1996. "A Simple Nonparametric Approach to Derivative Security Valuation," Journal of Finance, American Finance Association, vol. 51(5), pages 1633-1652, December.
    26. Andrew J. Patton & Tarun Ramadorai & Michael Streatfield, 2015. "Change You Can Believe In? Hedge Fund Data Revisions," Journal of Finance, American Finance Association, vol. 70(3), pages 963-999, June.
    27. Li, Haitao & Xu, Yuewu & Zhang, Xiaoyan, 2010. "Evaluating asset pricing models using the second Hansen-Jagannathan distance," Journal of Financial Economics, Elsevier, vol. 97(2), pages 279-301, August.
    28. Chang, Bo Young & Christoffersen, Peter & Jacobs, Kris, 2013. "Market skewness risk and the cross section of stock returns," Journal of Financial Economics, Elsevier, vol. 107(1), pages 46-68.
    29. Robert F. Dittmar, 2002. "Nonlinear Pricing Kernels, Kurtosis Preference, and Evidence from the Cross Section of Equity Returns," Journal of Finance, American Finance Association, vol. 57(1), pages 369-403, February.
    30. Jonathan Ingersoll & Ivo Welch, 2007. "Portfolio Performance Manipulation and Manipulation-proof Performance Measures," The Review of Financial Studies, Society for Financial Studies, vol. 20(5), pages 1503-1546, 2007 17.
    31. A. Beja, 1971. "The Structure of the Cost of Capital under Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(3), pages 359-368.
    32. Almeida, Caio & Garcia, René, 2012. "Assessing misspecified asset pricing models with empirical likelihood estimators," Journal of Econometrics, Elsevier, vol. 170(2), pages 519-537.
    33. Adam L. Aiken & Christopher P. Clifford & Jesse Ellis, 2013. "Out of the Dark: Hedge Fund Reporting Biases and Commercial Databases," The Review of Financial Studies, Society for Financial Studies, vol. 26(1), pages 208-243.
    34. repec:oup:rfinst:v:26:y::i:1:p:208-243 is not listed on IDEAS
    35. Kimball, Miles S, 1993. "Standard Risk Aversion," Econometrica, Econometric Society, vol. 61(3), pages 589-611, May.
    36. Aggarwal, Rajesh K. & Jorion, Philippe, 2010. "The performance of emerging hedge funds and managers," Journal of Financial Economics, Elsevier, vol. 96(2), pages 238-256, May.
    37. Fung, William & Hsieh, David A, 2001. "The Risk in Hedge Fund Strategies: Theory and Evidence from Trend Followers," The Review of Financial Studies, Society for Financial Studies, vol. 14(2), pages 313-341.
    38. Fama, Eugene F. & French, Kenneth R., 1993. "Common risk factors in the returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 33(1), pages 3-56, February.
    39. Nicolas P.B. Bollen & Veronika K. Pool, 2009. "Do Hedge Fund Managers Misreport Returns? Evidence from the Pooled Distribution," Journal of Finance, American Finance Association, vol. 64(5), pages 2257-2288, October.
    40. Robert Kosowski & Allan Timmermann & Russ Wermers & Hal White, 2006. "Can Mutual Fund “Stars” Really Pick Stocks? New Evidence from a Bootstrap Analysis," Journal of Finance, American Finance Association, vol. 61(6), pages 2551-2595, December.
    41. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    42. Jakub W. Jurek & Erik Stafford, 2015. "The Cost of Capital for Alternative Investments," Journal of Finance, American Finance Association, vol. 70(5), pages 2185-2226, October.
    43. Kosowski, Robert & Naik, Narayan Y. & Teo, Melvyn, 2007. "Do hedge funds deliver alpha? A Bayesian and bootstrap analysis," Journal of Financial Economics, Elsevier, vol. 84(1), pages 229-264, April.
    44. Andrew J. Patton & Tarun Ramadorai & Michael Streatfield, 2015. "Change You Can Believe In? Hedge Fund Data Revisions: Erratum," Journal of Finance, American Finance Association, vol. 70(4), pages 1862-1862, August.
    45. Halbert White, 2000. "A Reality Check for Data Snooping," Econometrica, Econometric Society, vol. 68(5), pages 1097-1126, September.
    46. Campbell R. Harvey & Akhtar Siddique, 2000. "Conditional Skewness in Asset Pricing Tests," Journal of Finance, American Finance Association, vol. 55(3), pages 1263-1295, June.
    47. Kraus, Alan & Litzenberger, Robert H, 1976. "Skewness Preference and the Valuation of Risk Assets," Journal of Finance, American Finance Association, vol. 31(4), pages 1085-1100, September.
    48. Li, Haitao & Xu, Yuewu & Zhang, Xiaoyan, 2016. "Hedge Fund Performance Evaluation under the Stochastic Discount Factor Framework," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 51(1), pages 231-257, February.
    49. Heber Farnsworth, 2002. "Performance Evaluation with Stochastic Discount Factors," The Journal of Business, University of Chicago Press, vol. 75(3), pages 473-504, July.
    50. Eugene F. Fama & Kenneth R. French, 2010. "Luck versus Skill in the Cross‐Section of Mutual Fund Returns," Journal of Finance, American Finance Association, vol. 65(5), pages 1915-1947, October.
    51. Ferson, Wayne E., 2013. "Investment Performance: A Review and Synthesis," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, volume 2, chapter 0, pages 969-1010, Elsevier.
    52. Bansal, Ravi & Lehmann, Bruce N., 1997. "Growth-Optimal Portfolio Restrictions On Asset Pricing Models," Macroeconomic Dynamics, Cambridge University Press, vol. 1(2), pages 333-354, June.
    53. Heber Farnsworth & Wayne E. Ferson & David Jackson & Steven Todd, 2002. "Performance Evaluation with Stochastic Discount Factors," NBER Working Papers 8791, National Bureau of Economic Research, Inc.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Milad Nozari, 2021. "Information content of the risk-free rate for the pricing kernel bound," Journal of Asset Management, Palgrave Macmillan, vol. 22(4), pages 267-276, July.
    2. Elisa Becker‐Foss, 2024. "Performance and reporting predictability of hedge funds," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 43(6), pages 2257-2278, September.
    3. Ardia, David & Barras, Laurent & Gagliardini, Patrick & Scaillet, Olivier, 2024. "Is it alpha or beta? Decomposing hedge fund returns when models are misspecified," Journal of Financial Economics, Elsevier, vol. 154(C).
    4. Jin Yuan & Xianghui Yuan, 2023. "A Comprehensive Method for Ranking Mutual Fund Performance," SAGE Open, , vol. 13(2), pages 21582440231, May.
    5. Fletcher, Jonathan, 2021. "Evaluating the performance of U.S. international equity closed-end funds," Journal of Multinational Financial Management, Elsevier, vol. 60(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Bali, Turan G. & Brown, Stephen J. & Caglayan, Mustafa Onur, 2012. "Systematic risk and the cross section of hedge fund returns," Journal of Financial Economics, Elsevier, vol. 106(1), pages 114-131.
    2. Newton, David & Platanakis, Emmanouil & Stafylas, Dimitrios & Sutcliffe, Charles & Ye, Xiaoxia, 2021. "Hedge fund strategies, performance &diversification: A portfolio theory & stochastic discount factor approach," The British Accounting Review, Elsevier, vol. 53(5).
    3. Bali, Turan G. & Brown, Stephen J. & Caglayan, Mustafa O., 2019. "Upside potential of hedge funds as a predictor of future performance," Journal of Banking & Finance, Elsevier, vol. 98(C), pages 212-229.
    4. Yang, Fan & Havranek, Tomas & Irsova, Zuzana & Novak, Jiri, 2022. "Hedge Fund Performance: A Quantitative Survey," EconStor Preprints 260612, ZBW - Leibniz Information Centre for Economics.
    5. Fletcher, Jonathan, 2014. "Benchmark models of expected returns in U.K. portfolio performance: An empirical investigation," International Review of Economics & Finance, Elsevier, vol. 29(C), pages 30-46.
    6. Caio Almeida & René Garcia, 2017. "Economic Implications of Nonlinear Pricing Kernels," Management Science, INFORMS, vol. 63(10), pages 3361-3380, October.
    7. Agarwal, Vikas & Green, T. Clifton & Ren, Honglin, 2018. "Alpha or beta in the eye of the beholder: What drives hedge fund flows?," Journal of Financial Economics, Elsevier, vol. 127(3), pages 417-434.
    8. Paul Karehnke & Frans de Roon, 2020. "Spanning Tests for Assets with Option-Like Payoffs: The Case of Hedge Funds," Management Science, INFORMS, vol. 66(12), pages 5969-5989, December.
    9. Bali, Turan G. & Brown, Stephen J. & Caglayan, Mustafa O., 2014. "Macroeconomic risk and hedge fund returns," Journal of Financial Economics, Elsevier, vol. 114(1), pages 1-19.
    10. 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.
    11. Hao Liang & Lin Sun & Melvyn Teo, 2022. "Responsible Hedge Funds [Role of managerial incentives and discretion in hedge fund performance]," Review of Finance, European Finance Association, vol. 26(6), pages 1585-1633.
    12. Agarwal, Vikas & Green, Tracy Clifton & Ren, Honglin, 2017. "Alpha or beta in the eye of the beholder: What drives hedge fund flows?," CFR Working Papers 15-08, University of Cologne, Centre for Financial Research (CFR), revised 2017.
    13. Ayadi, Mohamed A. & Chaibi, Anis & Kryzanowski, Lawrence, 2016. "Performance of Canadian hybrid mutual funds," The North American Journal of Economics and Finance, Elsevier, vol. 38(C), pages 124-147.
    14. Bali, Turan G. & Weigert, Florian, 2021. "Hedge funds and the positive idiosyncratic volatility effect," CFR Working Papers 21-01, University of Cologne, Centre for Financial Research (CFR).
    15. Andrew J. Patton & Tarun Ramadorai, 2013. "On the High-Frequency Dynamics of Hedge Fund Risk Exposures," Journal of Finance, American Finance Association, vol. 68(2), pages 597-635, April.
    16. Benoît Dewaele, 2013. "Leverage and Alpha: The Case of Funds of Hedge Funds," Working Papers CEB 13-033, ULB -- Universite Libre de Bruxelles.
    17. Almeida, Caio & Garcia, René, 2012. "Assessing misspecified asset pricing models with empirical likelihood estimators," Journal of Econometrics, Elsevier, vol. 170(2), pages 519-537.
    18. Agarwal, Vikas & Ruenzi, Stefan & Weigert, Florian, 2017. "Tail risk in hedge funds: A unique view from portfolio holdings," Journal of Financial Economics, Elsevier, vol. 125(3), pages 610-636.
    19. Fletcher, Jonathan & Kihanda, Joseph, 2005. "An examination of alternative CAPM-based models in UK stock returns," Journal of Banking & Finance, Elsevier, vol. 29(12), pages 2995-3014, December.
    20. Manuel Ammann & Otto Huber & Markus Schmid, 2013. "Hedge Fund Characteristics and Performance Persistence," European Financial Management, European Financial Management Association, vol. 19(2), pages 209-250, March.

    More about this item

    Keywords

    Hedge Funds; Admissible Performance Measures; Nonparametric Estimation; Higher-order Moments;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:tse:wpaper:123176. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/tsetofr.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.