"KLICing" there and back again: Portfolio selection using the empirical likelihood divergence and Hellinger distance
Stutzer (2000, 2003) proposes the decay-rate maximizing portfolio selection rule wherein the investor selects the asset mix that maximizes the rate at which the probability of shortfall decays to zero. A close examination of this rule reveals that it ranks portfolios by computing the divergence, in the Kullback-Leibler sense, between the unweighted portfolio return distribution and a tilted distribution meaned at the predetermined target or benchmark rate of return selected by or imposed upon the investor. This result implies, in the IID case, that Stutzer's rules can be written as a benchmark constrained Kullback-Leibler-based optimization problem with an endogenous utility interpretation. Here we expand on this idea by introducing two closely related portfolio selection rules based on the empirical likelihood divergence and the Hellinger-Matusita distance. The first of these is the reversed Kullback-Leibler divergence and the second is proportional to the average of the two divergences. The theoretical and in-sample properties of the new criteria suggest them to be competitive with and in some cases better than existing methods, especially in terms of skewness preference.
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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Robertson, John C & Tallman, Ellis W & Whiteman, Charles H, 2005.
"Forecasting Using Relative Entropy,"
Journal of Money, Credit and Banking,
Blackwell Publishing, vol. 37(3), pages 383-401, June.
- William J. Baumol, 1963. "An Expected Gain-Confidence Limit Criterion for Portfolio Selection," Management Science, INFORMS, vol. 10(1), pages 174-182, October.
- Basu, Ayanendranath & Park, Chanseok & Lindsay, Bruce G. & Li, Haihong, 2004. "Some variants of minimum disparity estimation," Computational Statistics & Data Analysis, Elsevier, vol. 45(4), pages 741-763, May.
- Bawa, Vijay S, 1976. "Admissible Portfolios for All Individuals," Journal of Finance, American Finance Association, vol. 31(4), pages 1169-1183, September.
- Matthew Rabin, 1998.
"Psychology and Economics,"
Journal of Economic Literature,
American Economic Association, vol. 36(1), pages 11-46, March.
- Matthew Rabin., 1997. "Psychology and Economics," Economics Working Papers 97-251, University of California at Berkeley.
- Rabin, Matthew, 1997. "Psychology and Economics," Department of Economics, Working Paper Series qt8jd5z5j2, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
- Fred Hanssmann, 1968. "Probability of Survival as an Investment Criterion," Management Science, INFORMS, vol. 15(1), pages 33-48, September.
- C. W. Granger & E. Maasoumi & J. Racine, 2004. "A Dependence Metric for Possibly Nonlinear Processes," Journal of Time Series Analysis, Wiley Blackwell, vol. 25(5), pages 649-669, 09.
- M. Ryan Haley & Charles Whiteman, 2008. "Generalized Safety First and a New Twist on Portfolio Performance," Econometric Reviews, Taylor & Francis Journals, vol. 27(4-6), pages 457-483.
- Walker, Todd B & Haley, M. Ryan, 2009.
"Alternative Tilts for Nonparametric Option Pricing,"
17140, University Library of Munich, Germany.
- M. Ryan Haley & Todd B. Walker, 2010. "Alternative tilts for nonparametric option pricing," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 30(10), pages 983-1006, October.
- Haley, M. Ryan & McGee, M. Kevin, 2006. "Tilting safety first and the Sharpe portfolio," Finance Research Letters, Elsevier, vol. 3(3), pages 173-180, September.
- Shlomo Benartzi & Richard H. Thaler, 1993.
"Myopic Loss Aversion and the Equity Premium Puzzle,"
NBER Working Papers
4369, National Bureau of Economic Research, Inc.
- Shlomo Benartzi & Richard H. Thaler, 1995. "Myopic Loss Aversion and the Equity Premium Puzzle," The Quarterly Journal of Economics, Oxford University Press, vol. 110(1), pages 73-92.
- 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.
- Stutzer, Michael, 2003. "Portfolio choice with endogenous utility: a large deviations approach," Journal of Econometrics, Elsevier, vol. 116(1-2), pages 365-386.
- Levy, Haim & Sarnat, Marshall, 1972. "Safety First — An Expected Utility Principle," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 7(03), pages 1829-1834, June.
- Stutzer, Michael, 1996. " A Simple Nonparametric Approach to Derivative Security Valuation," Journal of Finance, American Finance Association, vol. 51(5), pages 1633-1652, December.
- Fishburn, Peter C, 1977. "Mean-Risk Analysis with Risk Associated with Below-Target Returns," American Economic Review, American Economic Association, vol. 67(2), pages 116-126, March.
- 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.
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