IDEAS home Printed from https://ideas.repec.org/a/taf/eurjfi/v12y2006i8p649-669.html
   My bibliography  Save this article

Performance Evaluation, Portfolio Selection, and HARA Utility

Author

Listed:
  • Wolfgang Breuer
  • Marc Gurtler

Abstract

The main goal of this work is the generalization of the approach of Jobson and Korkie for funds performance evaluation. Therefore, the paper considers the portfolio selection problem of an investor who faces short sales restrictions when choosing among F different investment funds and assumes the investor's utility function to be of the HARA type. A performance measure is developed and its relationship to previously proposed measures is discussed. Particular attention is given to the special case of cubic utility implying skewness preferences. Findings are illustrated by an empirical example.

Suggested Citation

  • Wolfgang Breuer & Marc Gurtler, 2006. "Performance Evaluation, Portfolio Selection, and HARA Utility," The European Journal of Finance, Taylor & Francis Journals, vol. 12(8), pages 649-669.
    • Handle: RePEc:taf:eurjfi:v:12:y:2006:i:8:p:649-669
    DOI: 10.1080/13518470500460228
    as

    Download full text from publisher

    File URL: http://www.tandfonline.com/doi/abs/10.1080/13518470500460228
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/13518470500460228?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. Michael C. Jensen, 1968. "The Performance Of Mutual Funds In The Period 1945–1964," Journal of Finance, American Finance Association, vol. 23(2), pages 389-416, May.
    2. Brennan, M.J. & Solanki, R., 1981. "Optimal Portfolio Insurance," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 16(3), pages 279-300, September.
    3. Andrew J. Patton, 2004. "On the Out-of-Sample Importance of Skewness and Asymmetric Dependence for Asset Allocation," Journal of Financial Econometrics, Oxford University Press, vol. 2(1), pages 130-168.
    4. J. Tobin, 1958. "Liquidity Preference as Behavior Towards Risk," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 25(2), pages 65-86.
    5. 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.
    6. Chunhachinda, Pornchai & Dandapani, Krishnan & Hamid, Shahid & Prakash, Arun J., 1997. "Portfolio selection and skewness: Evidence from international stock markets," Journal of Banking & Finance, Elsevier, vol. 21(2), pages 143-167, February.
    7. Wolfgang Breuer & Marc Gürtler, 2001. "Hedging in Incomplete Markets: An Approximation Procedure for Practical Application," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 21(7), pages 599-631, July.
    8. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    9. Hakansson, Nils H., 1969. "Risk Disposition and the Separation Property in Portfolio Selection†," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 4(4), pages 401-416, December.
    10. Treynor, Jack L & Black, Fischer, 1973. "How to Use Security Analysis to Improve Portfolio Selection," The Journal of Business, University of Chicago Press, vol. 46(1), pages 66-86, January.
    11. Jobson, J D & Korkie, Bob, 1984. "On the Jensen Measure and Marginal Improvements in Portfolio Performance: A Note," Journal of Finance, American Finance Association, vol. 39(1), pages 245-251, March.
    12. 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.
    13. Kroll, Yoram & Levy, Haim & Markowitz, Harry M, 1984. "Mean-Variance versus Direct Utility Maximization," Journal of Finance, American Finance Association, vol. 39(1), pages 47-61, March.
    14. Cass, David & Stiglitz, Joseph E., 1970. "The structure of investor preferences and asset returns, and separability in portfolio allocation: A contribution to the pure theory of mutual funds," Journal of Economic Theory, Elsevier, vol. 2(2), pages 122-160, June.
    15. 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.
    16. 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.
    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. Çanakoglu, Ethem & Özekici, Süleyman, 2010. "Portfolio selection in stochastic markets with HARA utility functions," European Journal of Operational Research, Elsevier, vol. 201(2), pages 520-536, March.
    2. Breuer, Wolfgang & Gürtler, Marc, 2004. "Two-Fund separation and positive marginal utility," Working Papers FW11V3, Technische Universität Braunschweig, Institute of Finance.

    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. Breuer, Wolfgang & Gürtler, Marc, 2002. "Performance evaluation, portfolio selection, and HARA utility," Working Papers FW01V4, Technische Universität Braunschweig, Institute of Finance.
    2. Chenglu Jin & Thomas Conlon & John Cotter, 2023. "Co-Skewness across Return Horizons," Journal of Financial Econometrics, Oxford University Press, vol. 21(5), pages 1483-1518.
    3. Gourieroux, C. & Monfort, A., 2005. "The econometrics of efficient portfolios," Journal of Empirical Finance, Elsevier, vol. 12(1), pages 1-41, January.
    4. Michele Costola & Bertrand Maillet & Zhining Yuan & Xiang Zhang, 2024. "Mean–variance efficient large portfolios: a simple machine learning heuristic technique based on the two-fund separation theorem," Annals of Operations Research, Springer, vol. 334(1), pages 133-155, March.
    5. Högholm, Kenneth & Knif, Johan & Koutmos, Gregory & Pynnönen, Seppo, 2011. "Distributional asymmetry of loadings on market co-moments," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 21(5), pages 851-866.
    6. Eric Jondeau & Michael Rockinger, 2006. "Optimal Portfolio Allocation under Higher Moments," European Financial Management, European Financial Management Association, vol. 12(1), pages 29-55, January.
    7. Eric Jondeau & Michael Rockinger, 2005. "Conditional Asset Allocation under Non-Normality: How Costly is the Mean-Variance Criterion?," FAME Research Paper Series rp132, International Center for Financial Asset Management and Engineering.
    8. Kostakis, Alexandros & Muhammad, Kashif & Siganos, Antonios, 2012. "Higher co-moments and asset pricing on London Stock Exchange," Journal of Banking & Finance, Elsevier, vol. 36(3), pages 913-922.
    9. Georges Hübner, 2005. "The Generalized Treynor Ratio," Review of Finance, Springer, vol. 9(3), pages 415-435, September.
    10. I-Hsuan Ethan Chiang, 2016. "Skewness And Coskewness In Bond Returns," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 39(2), pages 145-178, June.
    11. 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.
    12. Fousseni Chabi-Yo & Eric Ghysels & Eric Renault, 2008. "On Portfolio Separation Theorems with Heterogeneous Beliefs and Attitudes towards Risk," Staff Working Papers 08-16, Bank of Canada.
    13. Joro, Tarja & Na, Paul, 2006. "Portfolio performance evaluation in a mean-variance-skewness framework," European Journal of Operational Research, Elsevier, vol. 175(1), pages 446-461, November.
    14. repec:dau:papers:123456789/2256 is not listed on IDEAS
    15. Luca Riccetti, 2013. "A copula–GARCH model for macro asset allocation of a portfolio with commodities," Empirical Economics, Springer, vol. 44(3), pages 1315-1336, June.
    16. Tamara Teplova & Evgeniya Shutova, 2011. "A Higher Moment Downside Framework for Conditional and Unconditional Capm in the Russian Stock Market," Eurasian Economic Review, Springer;Eurasia Business and Economics Society, vol. 1(2), pages 157-178, December.
    17. Kerstens, Kristiaan & Mounir, Amine & Van de Woestyne, Ignace, 2011. "Geometric representation of the mean-variance-skewness portfolio frontier based upon the shortage function," European Journal of Operational Research, Elsevier, vol. 210(1), pages 81-94, April.
    18. Walter Briec & Kristiaan Kerstens & Octave Jokung, 2007. "Mean-Variance-Skewness Portfolio Performance Gauging: A General Shortage Function and Dual Approach," Management Science, INFORMS, vol. 53(1), pages 135-149, January.
    19. Emmanuel Jurczenko & Bertrand Maillet & Paul Merlin, 2008. "Efficient Frontier for Robust Higher-order Moment Portfolio Selection," Post-Print halshs-00336475, HAL.
    20. Arturo Lorenzo Valdés & Antonio Ruiz Porras, 2014. "Un modelo Tgarch con una distribución t de student asimétrica y las hipótesis de racionalidad de los inversionistas bursátiles en Latinoamérica," Archivos Revista Economía y Política., Facultad de Ciencias Económicas y Administrativas, Universidad de Cuenca., vol. 19, pages 66-97, Enero.
    21. Christie-David, Rohan & Chaudhry, Mukesh, 2001. "Coskewness and cokurtosis in futures markets," Journal of Empirical Finance, Elsevier, vol. 8(1), pages 55-81, March.

    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:taf:eurjfi:v:12:y:2006:i:8:p:649-669. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/REJF20 .

    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.