IDEAS home Printed from https://ideas.repec.org/a/cup/jfinqa/v28y1993i02p301-311_00.html
   My bibliography  Save this article

Negative Moments, Risk Aversion, and Stochastic Dominance

Author

Listed:
  • Thistle, Paul D.

Abstract

A simple moment-ordering condition is shown to be necessary for stochastic dominance. Closely related results on generalizations of the geometric and harmonic means are also provided. An ordering of the moment-generating functions is shown to be necessary and sufficient for stochastic dominance. The results have a straightforward and useful interpretation in terms of constant relative and absolute risk aversion utility functions. These results are used to provide necessary and sufficient conditions for optimality of distributions on an important class of utility functions.

Suggested Citation

  • Thistle, Paul D., 1993. "Negative Moments, Risk Aversion, and Stochastic Dominance," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 28(2), pages 301-311, June.
    • Handle: RePEc:cup:jfinqa:v:28:y:1993:i:02:p:301-311_00
    as

    Download full text from publisher

    File URL: https://www.cambridge.org/core/product/identifier/S0022109000008516/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. George J Borjas & Ilpo Kauppinen & Panu Poutvaara, 2019. "Self-selection of Emigrants: Theory and Evidence on Stochastic Dominance in Observable and Unobservable Characteristics," The Economic Journal, Royal Economic Society, vol. 129(617), pages 143-171.
    2. Alexeev, Alexander G. & Sokolov, Mikhail V., 2014. "A theory of average growth rate indices," Mathematical Social Sciences, Elsevier, vol. 71(C), pages 101-115.
    3. Haim Shalit & Shlomo Yitzhaki, 2010. "How does beta explain stochastic dominance efficiency?," Review of Quantitative Finance and Accounting, Springer, vol. 35(4), pages 431-444, November.
    4. James A. Ligon & Paul D. Thistle, 2008. "Adverse Selection With Frequency and Severity Risk: Alternative Risk‐Sharing Provisions," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 75(4), pages 825-846, December.
    5. Alexeev, Alexander G. & Sokolov, Mikhail V., 2014. "A theory of average growth rate indices," Mathematical Social Sciences, Elsevier, vol. 71(C), pages 101-115.
    6. Jean-Yves Duclos & Paul Makdissi & Quentin Wodon, 2008. "Socially Improving Tax Reforms," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 49(4), pages 1505-1537, November.
    7. Hellman, Ziv & Schreiber, Amnon, 2018. "Indexing gamble desirability by extending proportional stochastic dominance," Games and Economic Behavior, Elsevier, vol. 109(C), pages 523-543.
    8. 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.
    9. Denuit, Michel, 2001. "Laplace transform ordering of actuarial quantities," Insurance: Mathematics and Economics, Elsevier, vol. 29(1), pages 83-102, August.
    10. Briec, Walter & Kerstens, Kristiaan, 2010. "Portfolio selection in multidimensional general and partial moment space," Journal of Economic Dynamics and Control, Elsevier, vol. 34(4), pages 636-656, April.
    11. Vinod, H. D., 2004. "Ranking mutual funds using unconventional utility theory and stochastic dominance," Journal of Empirical Finance, Elsevier, vol. 11(3), pages 353-377, June.
    12. Jean-Yves Duclos & Paul Makdissi, 2000. "Restricted and Unrestricted Dominance Welfare, Inequality and Povery Orderings," Cahiers de recherche 00-01, Departement d'économique de l'École de gestion à l'Université de Sherbrooke.
    13. Paul Makdissi & Quentin Wodon, 2002. "Can Safety Nets Offset the Impact of Risk on Wage Inequality and Social Welfare?," Cahiers de recherche 02-08, Departement d'économique de l'École de gestion à l'Université de Sherbrooke, revised 2002.
    14. Jean‐Yves Duclos & Paul Makdissi, 2004. "Restricted and Unrestricted Dominance for Welfare, Inequality, and Poverty Orderings," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 6(1), pages 145-164, February.
    15. Wang, Hongxia & Zhou, Lin & Dai, Peng-Fei & Xiong, Xiong, 2022. "Moment conditions for fractional degree stochastic dominance," Finance Research Letters, Elsevier, vol. 49(C).
    16. Duclos, Jean-Yves & Makdissi, Paul & Wodon, Quentin, 2002. "Socially-Efficient Tax Reforms," Cahiers de recherche 0201, Université Laval - Département d'économique.
    17. Antonella Basso & Paolo Pianca, 1997. "On the relative efficiency of nth order and DARA stochastic dominance rules," Applied Mathematical Finance, Taylor & Francis Journals, vol. 4(4), pages 207-222.
    18. Belzunce, Félix & Gao, Xiaoli & Hu, Taizhong & Pellerey, Franco, 2004. "Characterizations of the hazard rate order and IFR aging notion," Statistics & Probability Letters, Elsevier, vol. 70(4), pages 235-242, December.
    19. Ebert, Sebastian & Wei, Wei & Zhou, Xun Yu, 2020. "Weighted discounting—On group diversity, time-inconsistency, and consequences for investment," Journal of Economic Theory, Elsevier, vol. 189(C).
    20. Francesco Andreoli & Claudio Zoli, 2020. "From unidimensional to multidimensional inequality: a review," METRON, Springer;Sapienza Università di Roma, vol. 78(1), pages 5-42, April.
    21. Magnus Dahlquist & Peter Sellin, 1996. "Stochastic dominance, tax-loss selling and seasonalities in Sweden," The European Journal of Finance, Taylor & Francis Journals, vol. 2(1), pages 1-19.
    22. de Athayde, Gustavo M. & Flores, Renato Jr., 2004. "Finding a maximum skewness portfolio--a general solution to three-moments portfolio choice," Journal of Economic Dynamics and Control, Elsevier, vol. 28(7), pages 1335-1352, April.
    23. Clark, Ephraim & Kassimatis, Konstantinos, 2012. "An empirical analysis of marginal conditional stochastic dominance," Journal of Banking & Finance, Elsevier, vol. 36(4), pages 1144-1151.

    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:28:y:1993:i:02:p:301-311_00. 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.