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Marginal Conditional Stochastic Dominance

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Author Info

  • Haim Shalit

    (Department of Economics, Ben Gurion University of the Negev, Beer-Sheva, Israel)

  • Shlomo Yitzhaki

    (Department of Economics, Hebrew University of Jerusalem, Jerusalem, Israel)

Abstract

This paper introduces the concept of Marginal Conditional Stochastic Dominance (MCSD), which states the conditions under which all risk-averse individuals, when presented with a given portfolio, prefer to increase the share of one risky asset over that of another. MCSD rules also answer the question of whether all risk-averse individuals include a new asset in their portfolio when assets' returns are correlated. MCSD criteria are expressed in terms of the probability distributions of the assets and of the underlying portfolio. An empirical application of MCSD is provided using stocks traded on the New York Stock Exchange. MCSD rules are used to show that, in the long run, one cannot assert that the market portfolio is inefficient.

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File URL: http://dx.doi.org/10.1287/mnsc.40.5.670
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Bibliographic Info

Article provided by INFORMS in its journal Management Science.

Volume (Year): 40 (1994)
Issue (Month): 5 (May)
Pages: 670-684

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Handle: RePEc:inm:ormnsc:v:40:y:1994:i:5:p:670-684

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Related research

Keywords: stochastic dominance; gini; market efficiency; concentration curves; portfolio diversification;

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Citations

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Cited by:
  1. Levy, Moshe, 2009. "Almost Stochastic Dominance and stocks for the long run," European Journal of Operational Research, Elsevier, vol. 194(1), pages 250-257, April.
  2. 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.
  3. Schumann, Keith D., 2011. "Semi-nonparametric test of second degree stochastic dominance with respect to a function," Journal of Econometrics, Elsevier, vol. 162(1), pages 71-78, May.
  4. 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.
  5. Angelelli, Enrico & Mansini, Renata & Speranza, M. Grazia, 2008. "A comparison of MAD and CVaR models with real features," Journal of Banking & Finance, Elsevier, vol. 32(7), pages 1188-1197, July.
  6. Clark, Ephraim & Kassimatis, Konstantinos, 2011. "An alternative measure of the "world market portfolio": Determinants, efficiency, and information content," Journal of International Money and Finance, Elsevier, vol. 30(5), pages 724-748, September.
  7. Haim Shalit & Shlomo Yitzhaki, 2008. "How Does Beta Explain Stochastic Dominance Efficiency?," Working Papers 0813, Ben-Gurion University of the Negev, Department of Economics.
  8. Post, Thierry & Kopa, MiloŇ°, 2013. "General linear formulations of stochastic dominance criteria," European Journal of Operational Research, Elsevier, vol. 230(2), pages 321-332.
  9. 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.
  10. Rudolf F. Klein & K. Victor Chow, 2010. "Sentiment Effect and Market Portfolio Inefficiency," Working Papers 10-08, Department of Economics, West Virginia University.
  11. Furman, Edward & Zitikis, Ricardas, 2008. "Weighted risk capital allocations," Insurance: Mathematics and Economics, Elsevier, vol. 43(2), pages 263-269, October.
  12. Graves, Samuel B. & Ringuest, Jeffrey L., 2009. "Probabilistic dominance criteria for comparing uncertain alternatives: A tutorial," Omega, Elsevier, vol. 37(2), pages 346-357, April.
  13. Zhang, Duo, 2009. "A demonstration of the non-necessity of marginal conditional stochastic dominance for portfolio inefficiency," The Quarterly Review of Economics and Finance, Elsevier, vol. 49(2), pages 417-423, May.
  14. Clark, Ephraim & Kassimatis, Konstantinos, 2012. "An empirical analysis of marginal conditional stochastic dominance," Journal of Banking & Finance, Elsevier, vol. 36(4), pages 1144-1151.
  15. 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.
  16. Schechtman, E. & Yitzhaki, S., 1999. "On the proper bounds of the Gini correlation," Economics Letters, Elsevier, vol. 63(2), pages 133-138, May.
  17. Mansini, Renata & Ogryczak, Wlodzimierz & Speranza, M. Grazia, 2014. "Twenty years of linear programming based portfolio optimization," European Journal of Operational Research, Elsevier, vol. 234(2), pages 518-535.

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