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Stochastic Dominance With a Riskless Asset: An Imperfect Market

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  • Kroll, Yoram
  • Levy, Haim

Abstract

The assumption that investors can borrow and lend at a riskless interest rate reduces the Mean-Variance (M-V) efficient set to only one optimal unlevered portfolio. However, once we realize that the market is generally imperfect and that the borrowing rate is higher than the lending rate, we can no longer use the mean-variance Separation Theorem. Instead, a number of unlevered portfolios must be included in the efficient set, while the optimal unlevered portfolio is selected on the basis of the investor's preference. The size of the efficient set of unlevered portfolios is a function of the type of empirical data used and of the disparity between the borrowing and lending interest rates.

Suggested Citation

  • Kroll, Yoram & Levy, Haim, 1979. "Stochastic Dominance With a Riskless Asset: An Imperfect Market," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 14(2), pages 179-204, June.
    • Handle: RePEc:cup:jfinqa:v:14:y:1979:i:02:p:179-204_00
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    Cited by:

    1. Man-Chung Ng, 2000. "A Remark on Third Degree Stochastic Dominance," Management Science, INFORMS, vol. 46(6), pages 870-873, June.
    2. Trabelsi, Mohamed Ali, 2010. "Choix de portefeuille: comparaison des différentes stratégies [Portfolio selection: comparison of different strategies]," MPRA Paper 82946, University Library of Munich, Germany, revised 01 Dec 2010.

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