Stochastic dominance and mean-variance measures of profit and loss for business planning and investment
AbstractIn 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.
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Bibliographic InfoArticle provided by Elsevier in its journal European Journal of Operational Research.
Volume (Year): 182 (2007)
Issue (Month): 2 (October)
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Web page: http://www.elsevier.com/locate/eor
Other versions of this item:
- 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.
- Wing-Keung Wong, 2007. "Stochastic Dominance and Mean-Variance Measures of Profit and Loss for Business Planning and Investment," SCAPE Policy Research Working Paper Series 0705, National University of Singapore, Department of Economics, SCAPE.
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- Jun-ya Gotoh & Hiroshi Konno, 2000. "Third Degree Stochastic Dominance and Mean-Risk Analysis," Management Science, INFORMS, vol. 46(2), pages 289-301, February.
- Levy, Haim & Sarnat, Marshall, 1970. "Alternative Efficiency Criteria: An Empirical Analysis," Journal of Finance, American Finance Association, vol. 25(5), pages 1153-58, December.
- 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.
- Wong, Wing-Keung & Li, Chi-Kwong, 1999. "A note on convex stochastic dominance," Economics Letters, Elsevier, vol. 62(3), pages 293-300, March.
- Dominic Gasbarro & Wing-Keung Wong & J. Kenton Zumwalt, 2007.
"Stochastic Dominance Analysis of iShares,"
SCAPE Policy Research Working Paper Series
0706, National University of Singapore, Department of Economics, SCAPE.
- Udo Broll & Jack E. Wahl & Wing-Keung Wong, 2005.
"Elasticity of risk aversion and international trade,"
Development Research Unit Working Paper Series
07/05, Monash University, Department of Economics.
- 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.
- Udo Broll & Jack E. Wahl & Wing-Keung Wong, 2005. "Elasticity of risk aversion and international trade," Departmental Working Papers wp0510, National University of Singapore, Department of Economics.
- Haim Levy, 1992. "Stochastic Dominance and Expected Utility: Survey and Analysis," Management Science, INFORMS, vol. 38(4), pages 555-593, April.
- 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.
- Wing-Keung Wong & Chenghu Ma, 2005. "Preferences over Meyer’s Location-Scale Family," Departmental Working Papers wp0506, National University of Singapore, Department of Economics.
- Hadar, Josef & Russell, William R, 1969. "Rules for Ordering Uncertain Prospects," American Economic Review, American Economic Association, vol. 59(1), pages 25-34, March.
- Hadar, Josef & Russell, William R., 1971. "Stochastic dominance and diversification," Journal of Economic Theory, Elsevier, vol. 3(3), pages 288-305, September.
- Thierry Post & Haim Levy, 2002. "Does Risk Seeking drive Asset Prices?," Tinbergen Institute Discussion Papers 02-070/2, Tinbergen Institute.
- Man-Chung Ng, 2000. "A Remark on Third Degree Stochastic Dominance," Management Science, INFORMS, vol. 46(6), pages 870-873, June.
- 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.
- Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
- Meyer, Jack, 1987. "Two-moment Decision Models and Expected Utility Maximization," American Economic Review, American Economic Association, vol. 77(3), pages 421-30, June.
- 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 277-95, December.
- Moshe Levy & Haim Levy, 2002. "Prospect Theory: Much Ado About Nothing?," Management Science, INFORMS, vol. 48(10), pages 1334-1349, October.
- Anderson, Gordon, 2004. "Toward an empirical analysis of polarization," Journal of Econometrics, Elsevier, vol. 122(1), pages 1-26, September.
- Bawa, Vijay S., 1978. "Safety-First, Stochastic Dominance, and Optimal Portfolio Choice," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 13(02), pages 255-271, June.
- Jarrow, Robert, 1986. " The Relationship between Arbitrage and First Order Stochastic Dominance," Journal of Finance, American Finance Association, vol. 41(4), pages 915-21, September.
- Shorrocks, Anthony F & Foster, James E, 1987. "Transfer Sensitive Inequality Measures," Review of Economic Studies, Wiley Blackwell, vol. 54(3), pages 485-97, July.
- Timo Kuosmanen, 2004. "Efficient Diversification According to Stochastic Dominance Criteria," Management Science, INFORMS, vol. 50(10), pages 1390-1406, October.
- Tesfatsion, Leigh, 1976. "Stochastic Dominance and the Maximization of Expected Utility," Review of Economic Studies, Wiley Blackwell, vol. 43(2), pages 301-15, June.
- 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.
- Hanoch, G & Levy, Haim, 1969. "The Efficiency Analysis of Choices Involving Risk," Review of Economic Studies, Wiley Blackwell, vol. 36(107), pages 335-46, July.
- 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 801-28, December.
- 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.
- 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.
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