Advanced Search
MyIDEAS: Login

Comparison of Alternative Utility Functions in Portfolio Selection Problems

Contents:

Author Info

  • J. G. Kallberg

    (New York University)

  • W. T. Ziemba

    (University of British Columbia)

Registered author(s):

    Abstract

    This paper examines the effect of alternative utility functions and parameter values on the optimal composition of a risky investment portfolio. Normally distributed assets are the setting for the theoretical and empirical analyses. The results agree well with the available theory and imply utility functions and parameter values that are appropriate for investors with particular risk-bearing attitudes. The results give strong empirical support to the proposition that utility functions having different functional forms and parameter values but "similar" absolute risk aversion indices have "similar" optimal portfolios. These results suggest that over horizons up to one year one can safely substitute "convenient" surrogate utility functions for other utility functions, for reasons of tractability or otherwise. The results also provide guidance regarding the significance of the magnitude and change of particular numerical values of the risk aversion index. Moreover, theoretical ("exact") results are obtained using Rubinstein's measure of global risk aversion.

    Download Info

    If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
    File URL: http://dx.doi.org/10.1287/mnsc.29.11.1257
    Download Restriction: no

    Bibliographic Info

    Article provided by INFORMS in its journal Management Science.

    Volume (Year): 29 (1983)
    Issue (Month): 11 (November)
    Pages: 1257-1276

    as in new window
    Handle: RePEc:inm:ormnsc:v:29:y:1983:i:11:p:1257-1276

    Contact details of provider:
    Postal: 7240 Parkway Drive, Suite 300, Hanover, MD 21076 USA
    Phone: +1-443-757-3500
    Fax: 443-757-3515
    Email:
    Web page: http://www.informs.org/
    More information through EDIRC

    Related research

    Keywords: portfolio selection; risk aversion measures; utility functions; model approximations;

    References

    No references listed on IDEAS
    You can help add them by filling out this form.

    Citations

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

    Cited by:
    1. André De Palma & Nathalie Picard & Jean-Luc Prigent, 2009. "Prise en compte de l'attitude face au risque dans le cadre de la directive MiFID," Working Papers hal-00418892, HAL.
    2. Adcock, C.J., 2014. "Mean–variance–skewness efficient surfaces, Stein’s lemma and the multivariate extended skew-Student distribution," European Journal of Operational Research, Elsevier, vol. 234(2), pages 392-401.
    3. Sodhi, ManMohan S. & Tang, Christopher S., 2009. "Modeling supply-chain planning under demand uncertainty using stochastic programming: A survey motivated by asset-liability management," International Journal of Production Economics, Elsevier, vol. 121(2), pages 728-738, October.
    4. Ballestero, Enrique & Bravo, Mila & Pérez-Gladish, Blanca & Arenas-Parra, Mar & Plà-Santamaria, David, 2012. "Socially Responsible Investment: A multicriteria approach to portfolio selection combining ethical and financial objectives," European Journal of Operational Research, Elsevier, vol. 216(2), pages 487-494.
    5. Kang, Byung Jin & Kim, Tong Suk, 2006. "Option-implied risk preferences: An extension to wider classes of utility functions," Journal of Financial Markets, Elsevier, vol. 9(2), pages 180-198, May.
    6. Pérez-Gladish, B. & Gonzalez, I. & Bilbao-Terol, A. & Arenas-Parra, M., 2010. "Planning a TV advertising campaign: A crisp multiobjective programming model from fuzzy basic data," Omega, Elsevier, vol. 38(1-2), pages 84-94, February.
    7. Utz, Sebastian & Wimmer, Maximilian & Hirschberger, Markus & Steuer, Ralph E., 2014. "Tri-criterion inverse portfolio optimization with application to socially responsible mutual funds," European Journal of Operational Research, Elsevier, vol. 234(2), pages 491-498.
    8. Ballestero, Enrique, 2001. "Stochastic goal programming: A mean-variance approach," European Journal of Operational Research, Elsevier, vol. 131(3), pages 476-481, June.
    9. Fabrice Barthelemy & Jean-Luc Prigent, 2011. "Real Estate Portfolio Management : Optimization under Risk Aversion," THEMA Working Papers 2011-12, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    10. Enrique Ballestero, 2005. "Mean-Semivariance Efficient Frontier: A Downside Risk Model for Portfolio Selection," Applied Mathematical Finance, Taylor & Francis Journals, vol. 12(1), pages 1-15.
    11. Bradfield, David J. & Raubenheimer, Heidi, 2001. "A note on portfolio selection with restrictions on leverage," European Journal of Operational Research, Elsevier, vol. 134(2), pages 243-248, October.
    12. Hoyland, Kjetil & Wallace, Stein W., 2001. "Analyzing legal regulations in the Norwegian life insurance business using a multistage asset-liability management model," European Journal of Operational Research, Elsevier, vol. 134(2), pages 293-308, October.
    13. Levy, Moshe & Ritov, Yaacov, 2001. "Portfolio Optimization with Many Assets: The Importance of Short-Selling," University of California at Los Angeles, Anderson Graduate School of Management qt41x4t67m, Anderson Graduate School of Management, UCLA.

    Lists

    This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

    Statistics

    Access and download statistics

    Corrections

    When requesting a correction, please mention this item's handle: RePEc:inm:ormnsc:v:29:y:1983:i:11:p:1257-1276. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Mirko Janc).

    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 references are entirely missing, you can add them using this form.

    If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

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