IDEAS home Printed from https://ideas.repec.org/a/cup/jfinqa/v7y1972i04p1873-1880_01.html
   My bibliography  Save this article

Mean-Variance Analysis in a Finite World

Author

Listed:
  • Hakansson, Nils H.

Abstract

Despite the enormous attention received by the single-period mean-variance model in the literature, its structural relationship to the empirical world is still largely unexplored. The purpose of this note is to show that when certain consistency requirements and equilibrium conditions in the financial markets are taken into account, the collective judgment of the present literature concerning the mean-variance approach is in some respects too lenient and in other respects too harsh. In addition, it will be noted that the mean-variance model can only achieve consistency with the von Neumann-Morgenstern postulates and absolute preference (also known as first-order stochastic dominance) at the price of a severe upper bound on the risk aversion that can be possessed by the decision maker.

Suggested Citation

  • Hakansson, Nils H., 1972. "Mean-Variance Analysis in a Finite World," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 7(4), pages 1873-1880, September.
    • Handle: RePEc:cup:jfinqa:v:7:y:1972:i:04:p:1873-1880_01
    as

    Download full text from publisher

    File URL: https://www.cambridge.org/core/product/identifier/S0022109000017804/type/journal_article
    File Function: link to article abstract page
    Download Restriction: no
    ---><---

    Citations

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


    Cited by:

    1. Al-Khazali, Osamah & Mirzaei, Ali, 2017. "Stock market anomalies, market efficiency and the adaptive market hypothesis: Evidence from Islamic stock indices," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 51(C), pages 190-208.
    2. Thomas C. Chiang & Hooi Hooi Lean & Wing-Keung Wong, 2008. "Do REITs Outperform Stocks and Fixed-Income Assets? New Evidence from Mean-Variance and Stochastic Dominance Approaches," JRFM, MDPI, vol. 1(1), pages 1-40, December.
    3. Alkhazali, Osamah M. & Zoubi, Taisier A., 2020. "Gold and portfolio diversification: A stochastic dominance analysis of the Dow Jones Islamic indices," Pacific-Basin Finance Journal, Elsevier, vol. 60(C).
    4. Masoud Rahiminezhad Galankashi & Farimah Mokhatab Rafiei & Maryam Ghezelbash, 2020. "Portfolio selection: a fuzzy-ANP approach," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 6(1), pages 1-34, December.
    5. Lean, Hooi Hooi & Smyth, Russell & Wong, Wing-Keung, 2007. "Revisiting calendar anomalies in Asian stock markets using a stochastic dominance approach," Journal of Multinational Financial Management, Elsevier, vol. 17(2), pages 125-141, April.
    6. Grootveld, Henk & Hallerbach, Winfried, 1999. "Variance vs downside risk: Is there really that much difference?," European Journal of Operational Research, Elsevier, vol. 114(2), pages 304-319, April.
    7. AlKhazali, Osamah M. & Lean, Hooi Hooi & Mirzaei, Ali & Zoubi, Taisier, 2021. "A comparison of the gold-oil portfolio and oil portfolio: A stochastic dominance approach," Finance Research Letters, Elsevier, vol. 40(C).
    8. Salo, Ahti & Doumpos, Michalis & Liesiö, Juuso & Zopounidis, Constantin, 2024. "Fifty years of portfolio optimization," European Journal of Operational Research, Elsevier, vol. 318(1), pages 1-18.
    9. Benjamin M. Friedman & V. Vance Roley, 1985. "Aspects of Investor Behavior Under Risk," NBER Working Papers 1611, National Bureau of Economic Research, Inc.
    10. Bai, Zhidong & Liu, Huixia & Wong, Wing-Keung, 2016. "Making Markowitz's Portfolio Optimization Theory Practically Useful," MPRA Paper 74360, University Library of Munich, Germany.
    11. David S. Jones & V. Vance Roley, 1981. "Bliss Points in Mean-Variance Portfolio Models," NBER Technical Working Papers 0019, National Bureau of Economic Research, Inc.
    12. Mohsen Mortazavi, 2023. "Selecting Sustainable Optimal Stock by Using Multi-Criteria Fuzzy Decision-Making Approaches Based on the Development of the Gordon Model: A case study of the Toronto Stock Exchange," Papers 2304.13818, arXiv.org.

    More about this item

    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:cup:jfinqa:v:7:y:1972:i:04:p:1873-1880_01. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Kirk Stebbing (email available below). General contact details of provider: https://www.cambridge.org/jfq .

    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.