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Stochastic Dominance with Riskless Assets

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  • Levy, Haim
  • Kroll, Yoram

Abstract

Investment decision making under conditions of uncertainty, and in particular portfolio selection, is carried out mainly in the Mean-Variance framework which has been developed by Markowitz [29], [30] and Tobin [42]. By assuming the lending and borrowing of money at a given riskless interest rate, Sharpe [39], [40], Lintner [27], [28], Mossin [34], and others derived and extended the Capital Asset Pricing Model, under which an equilibrium price of each risky asset is determined. However, though the mean variance rule is quite convenient to apply, its limitations are well known, i.e., one must assume either normal probability distributions with risk aversion or quadratic utility functions.

Suggested Citation

  • Levy, Haim & Kroll, Yoram, 1976. "Stochastic Dominance with Riskless Assets," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 11(5), pages 743-777, December.
    • Handle: RePEc:cup:jfinqa:v:11:y:1976:i:05:p:743-777_02
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    1. Kroll, Yoram & Marchioni, Andrea & Ben-Horin, Moshe, 2024. "Sortino(γ): a modified Sortino ratio with adjusted threshold," MPRA Paper 120203, University Library of Munich, Germany.
    2. Edwin Fourrier-Nicolaï & Michel Lubrano, 2020. "Bayesian inference for TIP curves: an application to child poverty in Germany," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 18(1), pages 91-111, March.
    3. Ke, Mei-Chu & Chiang, Yi-Chein & Liao, Tung Liang, 2007. "Day-of-the-week effect in the Taiwan foreign exchange market," Journal of Banking & Finance, Elsevier, vol. 31(9), pages 2847-2865, September.
    4. Bhargava, Vivek & Brooks, Robert, 2002. "Exploration of the role of expectations in foreign exchange risk management," Journal of Multinational Financial Management, Elsevier, vol. 12(2), pages 171-189, April.
    5. Joseph Aharony & Sasson Bar†Yosef, 1987. "Tests of the impact of LIFO adoption on stockholders: A stochastic dominance approach," Contemporary Accounting Research, John Wiley & Sons, vol. 3(2), pages 430-444, March.
    6. Chung, Yi-Tsai & Hsu, Chuan-Hao & Ke, Mei-Chu & Liao, Tung Liang & Chiang, Yi-Chein, 2016. "The weakening value premium in the Australian and New Zealand stock markets," Pacific-Basin Finance Journal, Elsevier, vol. 36(C), pages 123-133.
    7. Liqun Liu & Jack Meyer, 2021. "Stochastic superiority," Journal of Risk and Uncertainty, Springer, vol. 62(3), pages 225-246, June.
    8. Sprik, M. & Trappeniers, N.J., 1980. "The orientational relaxation of methane molecules in the solid phase II at low temperatures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 103(3), pages 411-454.
    9. Gloy, Brent A. & Baker, Timothy G., 1999. "Evaluating Risk Management Strategies Using Stochastic Dominance With A Risk Free Asset," 1999 Annual meeting, August 8-11, Nashville, TN 21673, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    10. Chang, Hao-Wen & Chiang, Yi-Chein & Ke, Mei-Chu & Wang, Ming-Hui & Nguyen, Tien-Trung, 2023. "Market efficiency of Asian stock markets during the financial crisis and non-financial crisis periods," International Review of Economics & Finance, Elsevier, vol. 83(C), pages 312-329.
    11. Wang, Ming-Hui & Ke, Mei-Chu & Liang Liao, Tung & Chiang, Yi-Chein & Hsu, Chuan-Hao, 2020. "Alternative estimation method of earnings growth rate for PEGR strategy," The North American Journal of Economics and Finance, Elsevier, vol. 53(C).
    12. Yi-Chein Chiang & Mei-Chu Ke & Tung Liang Liao & Cin-Dian Wang, 2012. "Are technical trading strategies still profitable? Evidence from the Taiwan Stock Index Futures Market," Applied Financial Economics, Taylor & Francis Journals, vol. 22(12), pages 955-965, June.

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