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Stochastic Dominance and Mean-Variance Measures of Profit and Loss for Business Planning and Investment

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  • Wing-Keung Wong

    (NUS)

Abstract

In this paper, we first extend the stochastic dominance (SD) theory by introducing the first three orders of both ascending SD (ASD) and descending SD (DSD) to decisions in business planning and investment to risk-averse and risk-loving decision makers so that they can compare both return and loss. We provide investors with more tools for empirical analysis, with which they can identify the first order ASD and DSD prospects and discern arbitrage opportunities that could increase his/her utility as well as wealth and set up a zero dollar portfolio to make huge profit. Our tools also enable investors and business planners to identify the third order ASD and DSD prospects and make better choices. To complement the stochastic dominance approach, we also introduce an improved mean-variance criterion to decisions in business planning or investment on both return and loss for risk-averse and risk-loving investors. We then illustrate the superiority of the present approaches with well-known examples in the literature and discuss the relationship between the improved stochastic dominance and mean-variance criteria.

Suggested Citation

  • Wing-Keung Wong, 2007. "Stochastic Dominance and Mean-Variance Measures of Profit and Loss for Business Planning and Investment," Finance Working Papers 21922, East Asian Bureau of Economic Research.
    • Handle: RePEc:eab:financ:21922
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    1. Whitmore, G A, 1970. "Third-Degree Stochastic Dominance," American Economic Review, American Economic Association, vol. 60(3), pages 457-459, June.
    2. Guo, Xu & Zhu, Xuehu & Wong, Wing-Keung & Zhu, Lixing, 2013. "A note on almost stochastic dominance," Economics Letters, Elsevier, vol. 121(2), pages 252-256.
    3. Wong, Wing-Keung & Li, Chi-Kwong, 1999. "A note on convex stochastic dominance," Economics Letters, Elsevier, vol. 62(3), pages 293-300, March.
    4. Myagkov, Mikhail & Plott, Charles R, 1997. "Exchange Economies and Loss Exposure: Experiments Exploring Prospect Theory and Competitive Equilibria in Market Environments," American Economic Review, American Economic Association, vol. 87(5), pages 801-828, December.
    5. Hadar, Josef & Russell, William R., 1971. "Stochastic dominance and diversification," Journal of Economic Theory, Elsevier, vol. 3(3), pages 288-305, September.
    6. Soyer, Refik & Tanyeri, Kadir, 2006. "Bayesian portfolio selection with multi-variate random variance models," European Journal of Operational Research, Elsevier, vol. 171(3), pages 977-990, June.
    7. G. Hanoch & H. Levy, 1969. "The Efficiency Analysis of Choices Involving Risk," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 36(3), pages 335-346.
    8. J. Tobin, 1958. "Liquidity Preference as Behavior Towards Risk," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 25(2), pages 65-86.
    9. James P. Quirk & Rubin Saposnik, 1962. "Admissibility and Measurable Utility Functions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 29(2), pages 140-146.
    10. Anthony F. Shorrocks & James E. Foster, 1987. "Transfer Sensitive Inequality Measures," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(3), pages 485-497.
    11. Moshe Levy & Haim Levy, 2013. "Prospect Theory: Much Ado About Nothing?," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 7, pages 129-144, World Scientific Publishing Co. Pte. Ltd..
    12. Jarrow, Robert, 1986. "The Relationship between Arbitrage and First Order Stochastic Dominance," Journal of Finance, American Finance Association, vol. 41(4), pages 915-921, September.
    13. John S. Hammond, III, 1974. "Simplifying the Choice between Uncertain Prospects Where Preference is Nonlinear," Management Science, INFORMS, vol. 20(7), pages 1047-1072, March.
    14. Vinod, H. D., 2004. "Ranking mutual funds using unconventional utility theory and stochastic dominance," Journal of Empirical Finance, Elsevier, vol. 11(3), pages 353-377, June.
    15. Hadar, Josef & Russell, William R, 1969. "Rules for Ordering Uncertain Prospects," American Economic Review, American Economic Association, vol. 59(1), pages 25-34, March.
    16. Jun-ya Gotoh & Hiroshi Konno, 2000. "Third Degree Stochastic Dominance and Mean-Risk Analysis," Management Science, INFORMS, vol. 46(2), pages 289-301, February.
    17. Timo Kuosmanen, 2004. "Efficient Diversification According to Stochastic Dominance Criteria," Management Science, INFORMS, vol. 50(10), pages 1390-1406, October.
    18. Fennema, Hein & van Assen, Marcel, 1998. "Measuring the Utility of Losses by Means of the Tradeoff Method," Journal of Risk and Uncertainty, Springer, vol. 17(3), pages 277-295, December.
    19. Luciano, Elisa & Peccati, Lorenzo & Cifarelli, Donato M., 2003. "VaR as a risk measure for multiperiod static inventory models," International Journal of Production Economics, Elsevier, vol. 81(1), pages 375-384, January.
    20. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    21. Greco, Salvatore & Matarazzo, Benedetto & Slowinski, Roman, 1999. "Rough approximation of a preference relation by dominance relations," European Journal of Operational Research, Elsevier, vol. 117(1), pages 63-83, August.
    22. Hiroshi Konno & Hiroaki Yamazaki, 1991. "Mean-Absolute Deviation Portfolio Optimization Model and Its Applications to Tokyo Stock Market," Management Science, INFORMS, vol. 37(5), pages 519-531, May.
    23. Haim Levy, 1992. "Stochastic Dominance and Expected Utility: Survey and Analysis," Management Science, INFORMS, vol. 38(4), pages 555-593, April.
    24. Broll, Udo & Wahl, Jack E. & Wong, Wing-Keung, 2006. "Elasticity of risk aversion and international trade," Economics Letters, Elsevier, vol. 92(1), pages 126-130, July.
    25. Bawa, Vijay S., 1978. "Safety-First, Stochastic Dominance, and Optimal Portfolio Choice," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 13(2), pages 255-271, June.
    26. Levy, Haim, 1989. "Two-Moment Decision Models and Expected Utility Maximization: Comment," American Economic Review, American Economic Association, vol. 79(3), pages 597-600, June.
    27. Anderson, Gordon, 2004. "Toward an empirical analysis of polarization," Journal of Econometrics, Elsevier, vol. 122(1), pages 1-26, September.
    28. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    29. Meyer, Jack, 1987. "Two-moment Decision Models and Expected Utility Maximization," American Economic Review, American Economic Association, vol. 77(3), pages 421-430, June.
    30. Dominic Gasbarro & Wing-Keung Wong & J. Kenton Zumwalt, 2007. "Stochastic Dominance Analysis of iShares," The European Journal of Finance, Taylor & Francis Journals, vol. 13(1), pages 89-101.
    31. Levy, Haim & Sarnat, Marshall, 1970. "Alternative Efficiency Criteria: An Empirical Analysis," Journal of Finance, American Finance Association, vol. 25(5), pages 1153-1158, December.
    32. Man-Chung Ng, 2000. "A Remark on Third Degree Stochastic Dominance," Management Science, INFORMS, vol. 46(6), pages 870-873, June.
    33. Leigh Tesfatsion, 1976. "Stochastic Dominance and the Maximization of Expected Utility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 43(2), pages 301-315.
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