Limiting losses may be injurious to your wealth
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.
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- 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.
- 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 721-39, July.
- Suleyman Basak & Alex Shapiro, .
"Value-at-Risk Based Risk Management: Optimal Policies and Asset Prices,"
Rodney L. White Center for Financial Research Working Papers
6-99, Wharton School Rodney L. White Center for Financial Research.
- Basak, Suleyman & Shapiro, Alexander, 2001. "Value-at-Risk-Based Risk Management: Optimal Policies and Asset Prices," Review of Financial Studies, Society for Financial Studies, vol. 14(2), pages 371-405.
- Suleyman Basak & Alexander Shapiro, 1999. "Value-at-Risk Based Risk Management: Optimal Policies and Asset Prices," New York University, Leonard N. Stern School Finance Department Working Paper Seires 99-032, New York University, Leonard N. Stern School of Business-.
- Suleyman Basak & Alex Shapiro, . "Value-at-Risk Based Risk Management: Optimal Policies and Asset Prices," Rodney L. White Center for Financial Research Working Papers 06-99, Wharton School Rodney L. White Center for Financial Research.
- Henry Allen Latane, 1959. "Criteria for Choice Among Risky Ventures," Journal of Political Economy, University of Chicago Press, vol. 67, pages 144.
- 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.
- 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.
- 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 247-57, August.
- 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.
- R. C. Merton, 1970. "Optimum Consumption and Portfolio Rules in a Continuous-time Model," Working papers 58, Massachusetts Institute of Technology (MIT), Department of Economics.
- 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(01), pages 517-557, January.
- Huberman, Gur & Ross, Stephen, 1983. "Portfolio Turnpike Theorems, Risk Aversion, and Regularly Varying Utility Functions," Econometrica, Econometric Society, vol. 51(5), pages 1345-61, September.
- 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.
- Fortin, Ines & Hlouskova, Jaroslava, 2010.
"Optimal Asset Allocation Under Linear Loss Aversion,"
257, Institute for Advanced Studies.
- Fortin, Ines & Hlouskova, Jaroslava, 2011. "Optimal asset allocation under linear loss aversion," Journal of Banking & Finance, Elsevier, vol. 35(11), pages 2974-2990, November.
- 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.
- William J. Baumol, 1963. "An Expected Gain-Confidence Limit Criterion for Portfolio Selection," Management Science, INFORMS, vol. 10(1), pages 174-182, October.
- 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.
- 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.
- Ross, Stephen A., 1974. "Portfolio turnpike theorems for constant policies," Journal of Financial Economics, Elsevier, vol. 1(2), pages 171-198, July.
- 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.
- Benoit Mandelbrot, 1963. "The Variation of Certain Speculative Prices," The Journal of Business, University of Chicago Press, vol. 36, pages 394.
- Amos Tversky & Daniel Kahneman, 1979.
"Prospect Theory: An Analysis of Decision under Risk,"
Levine's Working Paper Archive
7656, David K. Levine.
- Kahneman, Daniel & Tversky, Amos, 1979. "Prospect Theory: An Analysis of Decision under Risk," Econometrica, Econometric Society, vol. 47(2), pages 263-91, March.
- 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.
- 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.
- Benartzi, Shlomo & Thaler, Richard H, 1995.
"Myopic Loss Aversion and the Equity Premium Puzzle,"
The Quarterly Journal of Economics,
MIT Press, vol. 110(1), pages 73-92, February.
- Shlomo Benartzi & Richard H. Thaler, 1993. "Myopic Loss Aversion and the Equity Premium Puzzle," NBER Working Papers 4369, National Bureau of Economic Research, Inc.
- Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, 03.
- 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.
- Enrico Giorgi & Thorsten Hens & János Mayer, 2007. "Computational aspects of prospect theory with asset pricing applications," Computational Economics, Society for Computational Economics, vol. 29(3), pages 267-281, May.
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