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Almost Stochastic Dominance and stocks for the long run

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  • Levy, Moshe

Abstract

The geometric-mean argument and the recently developed Almost Stochastic Dominance criterion have been employed to make the case for "stocks for the long run". We show that Almost Stochastic Dominance and the geometric-mean argument do not necessarily support long-run investment in equities. In fact, for standard preferences bonds may be preferred to stocks for the long run while stocks are preferred for shorter horizons.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:194:y:2009:i:1:p:250-257
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    1. Pablo C. Benítez & Timo Kuosmanen & Roland Olschewski & G. Cornelis van Kooten, 2006. "Conservation Payments under Risk: A Stochastic Dominance Approach," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 88(1), pages 1-15.
    2. Bawa, Vijay S, et al, 1985. "On Determination of Stochastic Dominance Optimal Sets," Journal of Finance, American Finance Association, vol. 40(2), pages 417-431, June.
    3. Thomas R. Harris & Harry P. Mapp, 1986. "A Stochastic Dominance Comparison of Water-Conserving Irrigation Strategies," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 68(2), pages 298-305.
    4. Harry M. Markowitz, 2011. "Investment for the Long Run: New Evidence for an Old Rule," World Scientific Book Chapters, in: Leonard C MacLean & Edward O Thorp & William T Ziemba (ed.), THE KELLY CAPITAL GROWTH INVESTMENT CRITERION THEORY and PRACTICE, chapter 35, pages 495-508, World Scientific Publishing Co. Pte. Ltd..
    5. Arditti, Fred D & Levy, Haim, 1980. "A Model of the Parallel Team Strategy in Product Development," American Economic Review, American Economic Association, vol. 70(5), pages 1089-1097, December.
    6. Peter C. Fishburn, 1982. "Moment-Preserving Shifts and Stochastic Dominance," Mathematics of Operations Research, INFORMS, vol. 7(4), pages 629-634, November.
    7. Jeffery R. Williams, 1988. "A Stochastic Dominance Analysis of Tillage and Crop Insurance Practices in a Semiarid Region," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 70(1), pages 112-120.
    8. 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.
    9. Meyer, Jack, 1977. "Further Applications of Stochastic Dominance to Mutual Fund Performance," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(2), pages 235-242, June.
    10. Ogryczak, Wlodzimierz & Ruszczynski, Andrzej, 1999. "From stochastic dominance to mean-risk models: Semideviations as risk measures," European Journal of Operational Research, Elsevier, vol. 116(1), pages 33-50, July.
    11. Levy, Haim & Kroll, Yoram, 1979. "Efficiency Analysis with Borrowing and Lending: Criteria and Their Effectiveness," The Review of Economics and Statistics, MIT Press, vol. 61(1), pages 125-130, February.
    12. Peter C. Fishburn, 1980. "Stochastic Dominance and Moments of Distributions," Mathematics of Operations Research, INFORMS, vol. 5(1), pages 94-100, February.
    13. Hadar, Josef & Russell, William R, 1969. "Rules for Ordering Uncertain Prospects," American Economic Review, American Economic Association, vol. 59(1), pages 25-34, March.
    14. Levy, Moshe, 2003. "Are rich people smarter?," Journal of Economic Theory, Elsevier, vol. 110(1), pages 42-64, May.
    15. Peter C. Fishburn & R. Burr Porter, 1976. "Optimal Portfolios with One Safe and One Risky Asset: Effects of Changes in Rate of Return and Risk," Management Science, INFORMS, vol. 22(10), pages 1064-1073, June.
    16. Yitzhaki, Shlomo, 1982. "Stochastic Dominance, Mean Variance, and Gini's Mean Difference," American Economic Review, American Economic Association, vol. 72(1), pages 178-185, March.
    17. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    18. 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.
    19. Haim Levy, 2004. "Prospect Theory and Mean-Variance Analysis," Review of Financial Studies, Society for Financial Studies, vol. 17(4), pages 1015-1041.
    20. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    21. Paul A. Samuelson, 2011. "Lifetime Portfolio Selection by Dynamic Stochastic Programming," World Scientific Book Chapters, in: Leonard C MacLean & Edward O Thorp & William T Ziemba (ed.), THE KELLY CAPITAL GROWTH INVESTMENT CRITERION THEORY and PRACTICE, chapter 31, pages 465-472, World Scientific Publishing Co. Pte. Ltd..
    22. Vickson, R. G. & Altmann, M., 1977. "On the Relative Effectiveness of Stochastic Dominance Rules: Extension to Decreasingly Risk-Averse Utility Functions," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(1), pages 73-84, March.
    23. Haim Levy, 1992. "Stochastic Dominance and Expected Utility: Survey and Analysis," Management Science, INFORMS, vol. 38(4), pages 555-593, April.
    24. Tehranian, Hassan, 1980. "Empirical Studies in Portfolio Performance Using Higher Degrees of Stochastic Dominance," Journal of Finance, American Finance Association, vol. 35(1), pages 159-171, March.
    25. Ben-Horim, Moshe & Lévy, Haim, 1984. "Stochastic dominance and parameter estimation: The case of symmetric stable distributions," Insurance: Mathematics and Economics, Elsevier, vol. 3(2), pages 133-138, April.
    26. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    27. Wong, Wing-Keung, 2007. "Stochastic dominance and mean-variance measures of profit and loss for business planning and investment," European Journal of Operational Research, Elsevier, vol. 182(2), pages 829-843, October.
    28. Joy, O. Maurice & Porter, R. Burr, 1974. "Stochastic Dominance and Mutual Fund Performance," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 9(1), pages 25-31, January.
    29. Moshe Leshno & Haim Levy, 2002. "Preferred by "All" and Preferred by "Most" Decision Makers: Almost Stochastic Dominance," Management Science, INFORMS, vol. 48(8), pages 1074-1085, August.
    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 & Wiener, Zvi, 1998. "Stochastic Dominance and Prospect Dominance with Subjective Weighting Functions," Journal of Risk and Uncertainty, Springer, vol. 16(2), pages 147-163, May-June.
    32. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    33. Haim Shalit & Shlomo Yitzhaki, 1994. "Marginal Conditional Stochastic Dominance," Management Science, INFORMS, vol. 40(5), pages 670-684, May.
    34. Wong, Wing-Keung, 2007. "Stochastic dominance and mean-variance measures of profit and loss for business planning and investment," European Journal of Operational Research, Elsevier, vol. 182(2), pages 829-843, October.
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    Cited by:

    1. Levy, Moshe, 2022. "An inter-temporal CAPM based on First order Stochastic Dominance," European Journal of Operational Research, Elsevier, vol. 298(2), pages 734-739.
    2. Guo, Xu & Wong, Wing-Keung & Zhu, Lixing, 2013. "Make Almost Stochastic Dominance really Almost," MPRA Paper 49745, University Library of Munich, Germany.
    3. Simon Dietz & Anca N. Matei, 2013. "Spaces for agreement: a theory of Time-Stochastic Dominance," GRI Working Papers 137, Grantham Research Institute on Climate Change and the Environment.
    4. Bi, Hongwei & Zhu, Wei, 2022. "Nonmonotonic risk preferences over lottery comparison," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1458-1468.
    5. Simon Dietz & Nicoleta Anca Matei, 2016. "Spaces for Agreement: A Theory of Time-Stochastic Dominance and an Application to Climate Change," Journal of the Association of Environmental and Resource Economists, University of Chicago Press, vol. 3(1), pages 85-130.
    6. Lizyayev, Andrey & Ruszczyński, Andrzej, 2012. "Tractable Almost Stochastic Dominance," European Journal of Operational Research, Elsevier, vol. 218(2), pages 448-455.
    7. Michel Denuit & Rachel Huang & Larry Tzeng, 2014. "Bivariate almost stochastic dominance," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 57(2), pages 377-405, October.
    8. Levy, Moshe, 2019. "Stocks for the log-run and constant relative risk aversion preferences," European Journal of Operational Research, Elsevier, vol. 277(3), pages 1163-1168.
    9. Moshe Levy, 2020. "Comment on “Aging Population, Retirement, and Risk Taking”," Management Science, INFORMS, vol. 66(6), pages 2787-2791, June.
    10. Takashi Kamihigashi & John Stachurski, 2014. "An Axiomatic Approach to Measuring Degree of Stochastic Dominance," Discussion Paper Series DP2014-36, Research Institute for Economics & Business Administration, Kobe University.
    11. 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.
    12. Takashi Kamihigashi & John Stachurski, 2014. "Partial Stochastic Dominance," Working Papers 2014-403, Department of Research, Ipag Business School.
    13. Haim Levy, 2016. "Aging Population, Retirement, and Risk Taking," Management Science, INFORMS, vol. 62(5), pages 1415-1430, May.
    14. Xu, Guo & Wing-Keung, Wong & Lixing, Zhu, 2013. "Almost Stochastic Dominance for Risk-Averse and Risk-Seeking Investors," MPRA Paper 51744, University Library of Munich, Germany.
    15. Tomasz Wachowicz & Gregory E. Kersten & Ewa Roszkowska, 2019. "How do I tell you what I want? Agent’s interpretation of principal’s preferences and its impact on understanding the negotiation process and outcomes," Operational Research, Springer, vol. 19(4), pages 993-1032, December.
    16. Guo, Xu & Wong, Wing-Keung & Zhu, Lixing, 2013. "Almost Stochastic Dominance and Moments," MPRA Paper 49274, University Library of Munich, Germany.
    17. Levy, Haim & Levy, Moshe, 2021. "Stocks versus bonds for the long run when a riskless asset is available," Journal of Banking & Finance, Elsevier, vol. 133(C).
    18. Yi-Chieh Huang & Kamhon Kan & Larry Y. Tzeng & Kili C. Wang, 2021. "Estimating the Critical Parameter in Almost Stochastic Dominance from Insurance Deductibles," Management Science, INFORMS, vol. 67(8), pages 4742-4755, August.
    19. Chunling Luo & Chin Hon Tan, 2020. "Almost Stochastic Dominance for Most Risk-Averse Decision Makers," Decision Analysis, INFORMS, vol. 17(2), pages 169-184, June.
    20. Dupačová, Jitka & Kopa, Miloš, 2014. "Robustness of optimal portfolios under risk and stochastic dominance constraints," European Journal of Operational Research, Elsevier, vol. 234(2), pages 434-441.

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