IDEAS home Printed from https://ideas.repec.org/a/oup/restud/v55y1988i3p459-468..html
   My bibliography  Save this article

Asset Proportions in Optimal Portfolios

Author

Listed:
  • Josef Hadar
  • Tae Kun Seo

Abstract

The paper is concerned with conditions under which the proportion of a given asset in the optimal portfolio of a risk averse agent is at least as large as some given proportion. The paper provides a condition that is necessary and sufficient for such a result to hold. The analysis is then confined to portfolios in which the distributions of assets differ by either a first-degree stochastic dominance shift or by a mean-preserving shift. Examples are provided to show that under some conditions a risk averter may invest a smaller proportion of his wealth in the dominating asset than in the dominated asset. The paper then provides conditions that are necessary and sufficient for a risk averter to invest more in the dominating asset.

Suggested Citation

  • Josef Hadar & Tae Kun Seo, 1988. "Asset Proportions in Optimal Portfolios," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(3), pages 459-468.
    • Handle: RePEc:oup:restud:v:55:y:1988:i:3:p:459-468.
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.2307/2297395
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

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

    Citations

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


    Cited by:

    1. Milevsky, Moshe Arye & Panyagometh, Kamphol, 2001. "Variable annuities versus mutual funds: a Monte-Carlo analysis of the options," Financial Services Review, Elsevier, vol. 10(1-4), pages 145-161.
    2. Chen, Zijin & Hu, Taizhong, 2008. "Asset proportions in optimal portfolios with dependent default risks," Insurance: Mathematics and Economics, Elsevier, vol. 43(2), pages 223-226, October.
    3. Clark, Ephraim & Jokung, Octave & Kassimatis, Konstantinos, 2011. "Making inefficient market indices efficient," European Journal of Operational Research, Elsevier, vol. 209(1), pages 83-93, February.
    4. Michel Denuit & Rachel Huang & Larry Tzeng, 2015. "Almost expectation and excess dependence notions," Theory and Decision, Springer, vol. 79(3), pages 375-401, November.
    5. Denuit, Michel M. & Huang, Rachel J. & Tzeng, Larry Y. & Wang, Christine W., 2014. "Almost marginal conditional stochastic dominance," Journal of Banking & Finance, Elsevier, vol. 41(C), pages 57-66.
    6. Vinod, H.D., 2024. "Portfolio choice algorithms, including exact stochastic dominance," Journal of Financial Stability, Elsevier, vol. 70(C).
    7. Ephraim Clark & Octave Jokung, 1999. "A Note on Asset Proportions, Stochastic Dominance, and the 50% Rule," Management Science, INFORMS, vol. 45(12), pages 1724-1727, December.
    8. Xuehu Zhu & Xu Guo & Lu Lin & Lixing Zhu, 2016. "Testing for positive expectation dependence," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 68(1), pages 135-153, February.
    9. Michel Denuit & Louis Eeckhoudt, 2016. "Risk aversion, prudence, and asset allocation: a review and some new developments," Theory and Decision, Springer, vol. 80(2), pages 227-243, February.
    10. Li, Xiaohu & Li, Chen, 2016. "On allocations to portfolios of assets with statistically dependent potential risk returns," Insurance: Mathematics and Economics, Elsevier, vol. 68(C), pages 178-186.
    11. Li, Chen & Li, Xiaohu, 2019. "Preservation of WSAI under default transforms and its application in allocating assets with dependent realizable returns," Insurance: Mathematics and Economics, Elsevier, vol. 86(C), pages 84-91.
    12. Erin Baker, 2009. "Optimal Policy under Uncertainty and Learning about Climate Change: A Stochastic Dominance Approach," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 11(5), pages 721-747, October.
    13. Wei, Wei, 2017. "Joint stochastic orders of high degrees and their applications in portfolio selections," Insurance: Mathematics and Economics, Elsevier, vol. 76(C), pages 141-148.
    14. Fang, Yi & Post, Thierry, 2017. "Higher-degree stochastic dominance optimality and efficiency," European Journal of Operational Research, Elsevier, vol. 261(3), pages 984-993.
    15. Kroll, Yoram & Leshno, Moshe & Levy, Haim & Spector, Yishay, 1995. "Increasing risk, decreasing absolute risk aversion and diversification," Journal of Mathematical Economics, Elsevier, vol. 24(6), pages 537-556.
    16. Cai, Jun & Wei, Wei, 2015. "Notions of multivariate dependence and their applications in optimal portfolio selections with dependent risks," Journal of Multivariate Analysis, Elsevier, vol. 138(C), pages 156-169.
    17. Post, Thierry & Kopa, Miloš, 2013. "General linear formulations of stochastic dominance criteria," European Journal of Operational Research, Elsevier, vol. 230(2), pages 321-332.

    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:oup:restud:v:55:y:1988:i:3:p:459-468.. 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: Oxford University Press (email available below). General contact details of provider: https://academic.oup.com/restud .

    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.