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How does beta explain stochastic dominance efficiency?

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  • Haim Shalit
  • Shlomo Yitzhaki

Abstract

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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  • 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. 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.
    2. 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.
    3. Schröder, Carsten & Yitzhaki, Shlomo, 2017. "Revisiting the evidence for cardinal treatment of ordinal variables," European Economic Review, Elsevier, vol. 92(C), pages 337-358.
    4. Yacine Belghitar & Ephraim Clark & Nitin Deshmukh, 2017. "Importance Of The Fund Management Company In The Performance Of Socially Responsible Mutual Funds," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 40(3), pages 349-367, September.
    5. 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.
    6. 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.
    7. Marta Cardin & Bennett Eisenberg & Luisa Tibiletti, 2012. "Bid and Ask Prices Tailored to Traders' Risk Aversion and Gain Propension: a Normative Approach," International Journal of Business Research and Management (IJBRM), Computer Science Journals (CSC Journals), vol. 3(6), pages 294-306, December.
    8. 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.
    9. 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.
    10. Haim Shalit & Frank Hespeler, 2016. "Mean-Extended Gini Portfolios: The Ultimate Frontier," Working Papers 1603, Ben-Gurion University of the Negev, Department of Economics.
    11. Maria-Teresa Bosch-Badia & Joan Montllor-Serrats & Maria-Antonia Tarrazon-Rodon, 2017. "Analysing assets’ performance inside a portfolio: From crossed beta to the net risk premium ratio," Cogent Economics & Finance, Taylor & Francis Journals, vol. 5(1), pages 1270251-127, January.
    12. 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.
    13. Clark, Ephraim & Kassimatis, Konstantinos, 2012. "An empirical analysis of marginal conditional stochastic dominance," Journal of Banking & Finance, Elsevier, vol. 36(4), pages 1144-1151.
    14. Chen, Tzu-Ying & Tsai, An-Mei & Tzeng, Larry Y., 2022. "Revisiting almost marginal conditional stochastic dominance," The Quarterly Review of Economics and Finance, Elsevier, vol. 85(C), pages 260-269.

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    More about this item

    Keywords

    Systematic risk; Gini; Extended Gini; Marginal conditional stochastic dominance; Lorenz curves; G11;
    All these keywords.

    JEL classification:

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

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