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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.

(This abstract was borrowed from another version of this item.)

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Bibliographic Info

Article provided by Springer in its journal Review of Quantitative Finance and Accounting.

Volume (Year): 35 (2010)
Issue (Month): 4 (November)
Pages: 431-444

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Handle: RePEc:kap:rqfnac:v:35:y:2010:i:4:p:431-444

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Web page: http://springerlink.metapress.com/link.asp?id=102990

Related research

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

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  1. Ronald Best & Charles Hodges & James Yoder, 2006. "Expected earnings growth and portfolio performance," Review of Quantitative Finance and Accounting, Springer, vol. 26(4), pages 431-437, June.
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  5. Shorrocks, Anthony F, 1983. "Ranking Income Distributions," Economica, London School of Economics and Political Science, vol. 50(197), pages 3-17, February.
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  9. Darinka Dentcheva & Andrzej Ruszczynski, 2004. "Portfolio Optimization With Stochastic Dominance Constraints," Finance 0402016, EconWPA, revised 02 Mar 2006.
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  16. Shalit, Haim & Yitzhaki, Shlomo, 2002. " Estimating Beta," Review of Quantitative Finance and Accounting, Springer, vol. 18(2), pages 95-118, March.
  17. Rolf Aaberge, 2000. "Characterizations of Lorenz curves and income distributions," Social Choice and Welfare, Springer, vol. 17(4), pages 639-653.
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Citations

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Cited by:
  1. 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.
  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. 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.
  4. Clark, Ephraim & Kassimatis, Konstantinos, 2012. "An empirical analysis of marginal conditional stochastic dominance," Journal of Banking & Finance, Elsevier, vol. 36(4), pages 1144-1151.
  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.

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