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How does beta explain stochastic dominance efficiency?


  • Haim Shalit


  • Shlomo Yitzhaki


Stochastic dominance rules provide necessary and sufficient conditions for characterizing efficient portfolios that suit all expected utility maximizers. For the finance practitioner, though, these conditions are not easy to apply or interpret. Portfolio selection models like the mean-variance model offer intuitive investment rules that are easy to understand, as they are based on parameters of risk and return. We present stochastic dominance rules for portfolio choices that can be interpreted in terms of simple financial concepts of systematic risk and mean return. Stochastic dominance is expressed in terms of Lorenz curves, and systematic risk is expressed in terms of Gini. To accommodate risk aversion differentials across investors, we expand the conditions using the extended Gini.
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Suggested Citation

  • 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.
  • Handle: RePEc:kap:rqfnac:v:35:y:2010:i:4:p:431-444
    DOI: 10.1007/s11156-010-0167-2

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    Cited by:

    1. Schröder, Carsten & Yitzhaki, Shlomo, 2017. "Revisiting the evidence for cardinal treatment of ordinal variables," European Economic Review, Elsevier, vol. 92(C), pages 337-358.
    2. Belghitar, Yacine & Clark, Ephraim & Deshmukh, Nitin, 2014. "Does it pay to be ethical? Evidence from the FTSE4Good," Journal of Banking & Finance, Elsevier, vol. 47(C), pages 54-62.
    3. 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.
    4. Shlomo Yitzhaki, 2016. "A Potential Contradiction Between Economic Theory and Applied Finance," Review of Economics & Finance, Better Advances Press, Canada, vol. 6, pages 13-27, May.
    5. Ephraim Clark & Konstantinos Kassimatis, 2013. "International equity flows, marginal conditional stochastic dominance and diversification," Review of Quantitative Finance and Accounting, Springer, vol. 40(2), pages 251-271, February.
    6. Hooi Lean & Kok Phoon & Wing-Keung Wong, 2013. "Stochastic dominance analysis of CTA funds," Review of Quantitative Finance and Accounting, Springer, vol. 40(1), pages 155-170, January.
    7. repec:bla:jfnres:v:40:y:2017:i:3:p:349-367 is not listed on IDEAS
    8. Shlomo Yitzhaki & Peter Lambert, 2014. "Is higher variance necessarily bad for investment?," Review of Quantitative Finance and Accounting, Springer, vol. 43(4), pages 855-860, November.
    9. Belghitar, Yacine & Clark, Ephraim & Kassimatis, Konstantino, 2011. "The prudential effect of strategic institutional ownership on stock performance," International Review of Financial Analysis, Elsevier, vol. 20(4), pages 191-199, August.
    10. 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


    Systematic risk; Gini; Extended Gini; Marginal conditional stochastic dominance; Lorenz curves; G11;

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions


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