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Limiting losses may be injurious to your wealth

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  • Grauer, Robert R.

Abstract

Theory tells us that if return distributions are independent over time, an expected utility maximizing logarithmic-utility investor will almost surely accumulate the most long-run wealth. This paper examines the robustness of the result. Specifically, it examines the expected and unexpected long-run and short-run consequences of imposing Value at Risk and other loss constraints on power-utility investors with a numerical example and empirically in an asset-allocation setting covering the 1934–2008 period. In addition, it examines the expected and unexpected long-run consequences of imposing Conditional Value at Risk constraints on power-utility and prospect-theory (kinked linear-utility) investors.

Suggested Citation

  • Grauer, Robert R., 2013. "Limiting losses may be injurious to your wealth," Journal of Banking & Finance, Elsevier, vol. 37(12), pages 5088-5100.
    • Handle: RePEc:eee:jbfina:v:37:y:2013:i:12:p:5088-5100
    DOI: 10.1016/j.jbankfin.2013.07.047
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    1. Fortin, Ines & Hlouskova, Jaroslava, 2011. "Optimal asset allocation under linear loss aversion," Journal of Banking & Finance, Elsevier, vol. 35(11), pages 2974-2990, November.
    2. Alexander, Gordon J. & Baptista, Alexandre M., 2008. "Active portfolio management with benchmarking: Adding a value-at-risk constraint," Journal of Economic Dynamics and Control, Elsevier, vol. 32(3), pages 779-820, March.
    3. Gordon J. Alexander & Alexandre M. Baptista, 2004. "A Comparison of VaR and CVaR Constraints on Portfolio Selection with the Mean-Variance Model," Management Science, INFORMS, vol. 50(9), pages 1261-1273, September.
    4. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    5. Basak, Suleyman & Shapiro, Alexander, 2001. "Value-at-Risk-Based Risk Management: Optimal Policies and Asset Prices," The Review of Financial Studies, Society for Financial Studies, vol. 14(2), pages 371-405.
    6. Shlomo Benartzi & Richard H. Thaler, 1995. "Myopic Loss Aversion and the Equity Premium Puzzle," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(1), pages 73-92.
    7. Henry Allen Latane, 1959. "Criteria for Choice Among Risky Ventures," Journal of Political Economy, University of Chicago Press, vol. 67(2), pages 144-144.
    8. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    9. 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..
    10. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    11. Grauer, Robert R & Hakansson, Nils H, 1986. "A Half Century of Returns on Levered and Unlevered Portfolios of Stocks, Bonds, and Bills, with and without Small Stocks," The Journal of Business, University of Chicago Press, vol. 59(2), pages 287-318, April.
    12. Alexander, Gordon J. & Baptista, Alexandre M., 2002. "Economic implications of using a mean-VaR model for portfolio selection: A comparison with mean-variance analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 26(7-8), pages 1159-1193, July.
    13. Grauer, Robert R & Hakansson, Nils H, 1987. "Gains from International Diversification: 1968-85 Returns on Portfolios of Stocks and Bonds," Journal of Finance, American Finance Association, vol. 42(3), pages 721-739, July.
    14. Pyle, David H & Turnovsky, Stephen J, 1970. "Safety-First and Expected Utility Maximization in Mean-Standard Deviation Portfolio Analysis," The Review of Economics and Statistics, MIT Press, vol. 52(1), pages 75-81, February.
    15. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
    16. Michael Best & Robert Grauer & Jaroslava Hlouskova & Xili Zhang, 2014. "Loss-Aversion with Kinked Linear Utility Functions," Computational Economics, Springer;Society for Computational Economics, vol. 44(1), pages 45-65, June.
    17. Ross, Stephen A., 1974. "Portfolio turnpike theorems for constant policies," Journal of Financial Economics, Elsevier, vol. 1(2), pages 171-198, July.
    18. Robert R. Grauer and Nils H. Hakansson., 1987. "Gains from International Diversification: l968-85 Returns on Portfolios of Stocks and Bonds," Research Program in Finance Working Papers 168, University of California at Berkeley.
    19. William J. Baumol, 1963. "An Expected Gain-Confidence Limit Criterion for Portfolio Selection," Management Science, INFORMS, vol. 10(1), pages 174-182, October.
    20. Mulvey, John M. & Erkan, Hafize G., 2006. "Applying CVaR for decentralized risk management of financial companies," Journal of Banking & Finance, Elsevier, vol. 30(2), pages 627-644, February.
    21. MOSSIN, Jan, 1968. "Optimal multiperiod portfolio policies," LIDAM Reprints CORE 19, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    22. Benoit Mandelbrot, 2015. "The Variation of Certain Speculative Prices," World Scientific Book Chapters, in: Anastasios G Malliaris & William T Ziemba (ed.), THE WORLD SCIENTIFIC HANDBOOK OF FUTURES MARKETS, chapter 3, pages 39-78, World Scientific Publishing Co. Pte. Ltd..
    23. Enrico Giorgi & Thorsten Hens & János Mayer, 2007. "Computational aspects of prospect theory with asset pricing applications," Computational Economics, Springer;Society for Computational Economics, vol. 29(3), pages 267-281, May.
    24. Huberman, Gur & Ross, Stephen, 1983. "Portfolio Turnpike Theorems, Risk Aversion, and Regularly Varying Utility Functions," Econometrica, Econometric Society, vol. 51(5), pages 1345-1361, September.
    25. Kibzun, Andrey I. & Kuznetsov, Evgeniy A., 2006. "Analysis of criteria VaR and CVaR," Journal of Banking & Finance, Elsevier, vol. 30(2), pages 779-796, February.
    26. Hakansson, Nils H., 1974. "Convergence to isoelastic utility and policy in multiperiod portfolio choice," Journal of Financial Economics, Elsevier, vol. 1(3), pages 201-224, September.
    27. Grauer, Robert R. & Hakansson, Nils H. & Shen, Frederick C., 1990. "Industry rotation in the U.S. stock market : 1934-1986 returns on passive, semi-passive, and active strategies," Journal of Banking & Finance, Elsevier, vol. 14(2-3), pages 513-538, August.
    28. Michael J. Best & Xili Zhang, 2011. "Degeneracy Resolution for Bilinear Utility Functions," Journal of Optimization Theory and Applications, Springer, vol. 150(3), pages 615-634, September.
    29. Rockafellar, R. Tyrrell & Uryasev, Stan & Zabarankin, M., 2007. "Equilibrium with investors using a diversity of deviation measures," Journal of Banking & Finance, Elsevier, vol. 31(11), pages 3251-3268, November.
    30. Hakansson, Nils H., 1971. "Capital Growth and the Mean-Variance Approach to Portfolio Selection," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 6(1), pages 517-557, January.
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    Cited by:

    1. Fortin, Ines & Hlouskova, Jaroslava, 2024. "Prospect theory and asset allocation," The Quarterly Review of Economics and Finance, Elsevier, vol. 94(C), pages 214-240.

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    More about this item

    Keywords

    Power-utility and prospect-theory portfolios; Solvency; Portfolio-insurance; Value-at-risk and conditional-value-at-risk constraints;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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