Walker, Todd and Haley, M. Ryan and McGee, M. Kevin (2009): Disparity, Shortfall, and Twice-Endogenous HARA Utility.
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We demonstrate that shortfall-minimizing portfolio selection based on the Cressie- Read family of divergence measures maps to the HARA family. This means that all HARA utility functions can be interpreted as “endogenous” in the sense described in Stutzer (2003), and that traditional HARA expected utility maximization has an analog to the behavioral notion that an investor seeks to organize their selection of assets to minimize the probability of realizing a return below some pre-determined target or benchmark rate. We show that not only do risk aversion parameters arise endogenously, given the choice set, but that the type of risk aversion, relative or constant, is also determined endogenously. We also connect this approach to portfolio selection to some topics in behavioral economics.
|Item Type:||MPRA Paper|
|Original Title:||Disparity, Shortfall, and Twice-Endogenous HARA Utility|
|Keywords:||Entropy, Measure Change, Cressie-Read, Endogenous Utility, Benchmark|
|Subjects:||G - Financial Economics > G1 - General Financial Markets > G11 - Portfolio Choice; Investment Decisions|
|Depositing User:||Todd B Walker|
|Date Deposited:||06. Sep 2009 19:20|
|Last Modified:||13. Feb 2013 10:06|
Baggerly, K. 1998. “Empirical Likelihood as a Goodness-of-Fit Measure,” Biometrika 85: 535.
 Basu, A., Park, C., Lindsay, B. G. and Li, H. 2004. “Some Variants of Minimum Disparity Estimation.” Computational Statistics and Data Analysis, 45: 741–763.
 Bawa V. 1976. “Admissible Portfolios for All Individuals,” Journal of Finance 31: 1169– 1183.