IDEAS home Printed from https://ideas.repec.org/a/pal/assmgt/v10y2009i1d10.1057_jam.2008.43.html
   My bibliography  Save this article

Integrating volatility factors in the analysis of the hedge fund alpha puzzle

Author

Listed:
  • François-Éric Racicot

    (University of Quebec (Outaouais) (UQO))

  • Raymond Théoret

Abstract

Estimation of financial models of hedge fund returns often gives rise to abnormally high alphas. This phenomenon may be due to mis-specified models, but recently the introduction of volatility factors in hedge fund returns models (Kuenzi and Xu, 2007) has been viewed as a solution to solve the alpha puzzle. This paper shows that modelling the volatility of the innovation term of hedge fund return models might be another way to explain the alpha puzzle. The model proposed in this paper is a factor model that incorporates an ‘alternative’ factor, which is the return of a short put on the Standard & Poor's 500 whose volatility is the VIX. This paper takes an overall view to analyse the problem of specification errors in financial models. To account for specification errors, it proposes a new estimator based on the generalised method of moments (GMM) whose instruments are the higher moments of returns, the GMM-hm. Some transformations of the basic factor model, which are recommended in the financial literature to improve the estimation of the alpha, are considered the n-CAPM and the conditional model. Some GARCH and EGARCH specifications of our basic model of returns are also estimated. Our results show that modelling the volatility of the innovation is the best way to lower the alpha. The n-CAPM has also had some success in reducing the alpha. The alpha is not the only garbage bag of a returns model (Jaeger and Wagner, 2005), but the alpha and the innovation both constitute the garbage bag.

Suggested Citation

  • François-Éric Racicot & Raymond Théoret, 2009. "Integrating volatility factors in the analysis of the hedge fund alpha puzzle," Journal of Asset Management, Palgrave Macmillan, vol. 10(1), pages 37-62, April.
  • Handle: RePEc:pal:assmgt:v:10:y:2009:i:1:d:10.1057_jam.2008.43
    DOI: 10.1057/jam.2008.43
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1057/jam.2008.43
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1057/jam.2008.43?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Fama, Eugene F & French, Kenneth R, 1992. "The Cross-Section of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 47(2), pages 427-465, June.
    2. Christopherson, Jon A & Ferson, Wayne E & Glassman, Debra A, 1998. "Conditioning Manager Alphas on Economic Information: Another Look at the Persistence of Performance," The Review of Financial Studies, Society for Financial Studies, vol. 11(1), pages 111-142.
    3. Hwang, Soosung & Satchell, Stephen E, 1999. "Modelling Emerging Market Risk Premia Using Higher Moments," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 4(4), pages 271-296, October.
    4. Mark Mitchell & Todd Pulvino, 2001. "Characteristics of Risk and Return in Risk Arbitrage," Journal of Finance, American Finance Association, vol. 56(6), pages 2135-2175, December.
    5. Coen, Alain & Racicot, Francois-Eric, 2007. "Capital asset pricing models revisited: Evidence from errors in variables," Economics Letters, Elsevier, vol. 95(3), pages 443-450, June.
    6. François-Éric Racicot & Raymond Théoret & Alain Coën, 2008. "Forecasting Irregularly Spaced UHF Financial Data: Realized Volatility vs UHF-GARCH Models," International Advances in Economic Research, Springer;International Atlantic Economic Society, vol. 14(1), pages 112-124, February.
    7. Nelson, Daniel B, 1991. "Conditional Heteroskedasticity in Asset Returns: A New Approach," Econometrica, Econometric Society, vol. 59(2), pages 347-370, March.
    8. Y. Peter Chung & Michael J. Schill, 2006. "Asset Pricing When Returns Are Nonnormal: Fama-French Factors versus Higher-Order Systematic Comoments," The Journal of Business, University of Chicago Press, vol. 79(2), pages 923-940, March.
    9. Rubinstein, Mark E., 1973. "The Fundamental Theorem of Parameter-Preference Security Valuation," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 8(1), pages 61-69, January.
    10. Bertrand Maillet & Emmanuel Jurczenko, 2006. "Multi-moment Asset Allocation and Pricing Models," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00308990, HAL.
    11. 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.
    12. 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.
    13. Howard W. Chan & Robert W. Faff, 2005. "Asset Pricing and the Illiquidity Premium," The Financial Review, Eastern Finance Association, vol. 40(4), pages 429-458, November.
    14. Lim, Kian-Guan, 1989. "A New Test of the Three-Moment Capital Asset Pricing Model," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 24(2), pages 205-216, June.
    15. Capocci, Daniel & Hubner, Georges, 2004. "Analysis of hedge fund performance," Journal of Empirical Finance, Elsevier, vol. 11(1), pages 55-89, January.
    16. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
    17. Dagenais, Marcel G. & Dagenais, Denyse L., 1997. "Higher moment estimators for linear regression models with errors in the variables," Journal of Econometrics, Elsevier, vol. 76(1-2), pages 193-221.
    18. Fama, Eugene F. & French, Kenneth R., 1997. "Industry costs of equity," Journal of Financial Economics, Elsevier, vol. 43(2), pages 153-193, February.
    19. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    20. Bertrand Maillet & Emmanuel Jurczenko, 2006. "Multi-moment Asset Allocation and Pricing Models," Post-Print hal-00308990, HAL.
    21. Carhart, Mark M, 1997. "On Persistence in Mutual Fund Performance," Journal of Finance, American Finance Association, vol. 52(1), pages 57-82, March.
    22. Gregoriou, Greg N., 2006. "Funds of Hedge Funds," Elsevier Monographs, Elsevier, edition 1, number 9780750679848.
    23. Engle, Robert F & Lilien, David M & Robins, Russell P, 1987. "Estimating Time Varying Risk Premia in the Term Structure: The Arch-M Model," Econometrica, Econometric Society, vol. 55(2), pages 391-407, March.
    24. Scott, Robert C & Horvath, Philip A, 1980. "On the Direction of Preference for Moments of Higher Order Than the Variance," Journal of Finance, American Finance Association, vol. 35(4), pages 915-919, September.
    25. Paul A. Samuelson, 1970. "The Fundamental Approximation Theorem of Portfolio Analysis in terms of Means, Variances and Higher Moments," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 37(4), pages 537-542.
    26. Agarwal, Vikas & Naik, Narayan Y., 2000. "Multi-Period Performance Persistence Analysis of Hedge Funds," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 35(3), pages 327-342, September.
    27. Fung, William & Hsieh, David A, 1997. "Empirical Characteristics of Dynamic Trading Strategies: The Case of Hedge Funds," The Review of Financial Studies, Society for Financial Studies, vol. 10(2), pages 275-302.
    28. Chen, Nai-Fu & Roll, Richard & Ross, Stephen A, 1986. "Economic Forces and the Stock Market," The Journal of Business, University of Chicago Press, vol. 59(3), pages 383-403, July.
    29. 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.
    30. 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.
    31. Ingersoll, Jonathan, 1975. "Multidimensional Security Pricing," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 10(5), pages 785-798, December.
    32. Pal, Manoranjan, 1980. "Consistent moment estimators of regression coefficients in the presence of errors in variables," Journal of Econometrics, Elsevier, vol. 14(3), pages 349-364, December.
    33. Jegadeesh, Narasimhan & Titman, Sheridan, 1993. "Returns to Buying Winners and Selling Losers: Implications for Stock Market Efficiency," Journal of Finance, American Finance Association, vol. 48(1), pages 65-91, March.
    34. Ferson, Wayne E & Schadt, Rudi W, 1996. "Measuring Fund Strategy and Performance in Changing Economic Conditions," Journal of Finance, American Finance Association, vol. 51(2), pages 425-461, June.
    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. Yang, Fan & Havranek, Tomas & Irsova, Zuzana & Novak, Jiri, 2024. "Where Have All the Alphas Gone? A Meta-Analysis of Hedge Fund Performance," MetaArXiv ps2yn, Center for Open Science.
    2. Fan Yang & Tomas Havranek & Zuzana Irsova & Jiri Novak, 2022. "Hedge Fund Performance: A Quantitative Survey," Working Papers IES 2022/15, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, revised Jun 2022.

    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. Dheeraj Misra & Sushma Vishnani & Ankit Mehrotra, 2019. "Four-moment CAPM Model: Evidence from the Indian Stock Market," Journal of Emerging Market Finance, Institute for Financial Management and Research, vol. 18(1_suppl), pages 137-166, April.
    2. Racicot, François-Éric & Théoret, Raymond & Gregoriou, Greg N., 2021. "The response of hedge fund higher moment risk to macroeconomic and illiquidity shocks," International Review of Economics & Finance, Elsevier, vol. 72(C), pages 289-318.
    3. Francois-Éric Racicot & Raymond Théoret & Alain Coen, 2006. "Towards New Empirical Versions of Financial and Accounting Models Corrected for Measurement Errors," RePAd Working Paper Series UQO-DSA-wp132006, Département des sciences administratives, UQO.
    4. repec:kap:iaecre:v:15:y:2009:i:1:p:30-43 is not listed on IDEAS
    5. François-Éric Racicot & Raymond Théoret, 2009. "On Optimal Instrumental Variables Generators, with an Application to Hedge Fund Returns," International Advances in Economic Research, Springer;International Atlantic Economic Society, vol. 15(1), pages 30-43, February.
    6. Vendrame, Vasco & Tucker, Jon & Guermat, Cherif, 2016. "Some extensions of the CAPM for individual assets," International Review of Financial Analysis, Elsevier, vol. 44(C), pages 78-85.
    7. 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.
    8. François-Éric Racicot & Raymond Théoret, 2022. "Tracking market and non-traditional sources of risks in procyclical and countercyclical hedge fund strategies under extreme scenarios: a nonlinear VAR approach," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 8(1), pages 1-56, December.
    9. Stafylas, Dimitrios & Anderson, Keith & Uddin, Moshfique, 2017. "Recent advances in explaining hedge fund returns: Implicit factors and exposures," Global Finance Journal, Elsevier, vol. 33(C), pages 69-87.
    10. Sebastien Valeyre & Sofiane Aboura & Denis Grebenkov, 2019. "The Reactive Beta Model," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 42(1), pages 71-113, March.
    11. 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.
    12. Haehean Park & Baeho Kim & Hyeongsop Shim, 2019. "A smiling bear in the equity options market and the cross‐section of stock returns," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 39(11), pages 1360-1382, November.
    13. Juliane Proelss & Denis Schweizer, 2014. "Polynomial goal programming and the implicit higher moment preferences of US institutional investors in hedge funds," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 28(1), pages 1-28, February.
    14. Lambert, M. & Hübner, G., 2013. "Comoment risk and stock returns," Journal of Empirical Finance, Elsevier, vol. 23(C), pages 191-205.
    15. Rhee, S. Ghon & Wu, Feng (Harry), 2020. "Conditional extreme risk, black swan hedging, and asset prices," Journal of Empirical Finance, Elsevier, vol. 58(C), pages 412-435.
    16. Gregory Connor & Lisa R. Goldberg & Robert A. Korajczyk, 2010. "Portfolio Risk Analysis," Economics Books, Princeton University Press, edition 1, number 9224.
    17. Carmichael, Benoît & Coën, Alain, 2008. "Asset pricing models with errors-in-variables," Journal of Empirical Finance, Elsevier, vol. 15(4), pages 778-788, September.
    18. Racicot, François-Éric & Théoret, Raymond, 2019. "Hedge fund return higher moments over the business cycle," Economic Modelling, Elsevier, vol. 78(C), pages 73-97.
    19. Gregoriou, Greg N. & Racicot, François-Éric & Théoret, Raymond, 2021. "The response of hedge fund tail risk to macroeconomic shocks: A nonlinear VAR approach," Economic Modelling, Elsevier, vol. 94(C), pages 843-872.
    20. Malevergne, Y. & Sornette, D., 2007. "Self-consistent asset pricing models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(1), pages 149-171.
    21. Paul Handro & Bogdan Dima, 2024. "Analyzing Financial Markets Efficiency: Insights from a Bibliometric and Content Review," Journal of Financial Studies, Institute of Financial Studies, vol. 16(9), pages 119-175, May.

    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:pal:assmgt:v:10:y:2009:i:1:d:10.1057_jam.2008.43. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.palgrave-journals.com/ .

    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.