Hwang, Soosung and Satchell, S. (Stephen) (2001) The asset allocation decision in a loss aversion world. Working Paper. Warwick Business School, Financial Econometrics Research Centre, Coventry.

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Abstract

The purpose of this paper is to derive explicit formulae for the asset allocation decision for the loss aversion utility function proposed by Kahneman and Tuversky. We show that these utility functions exhibit constant absolute risk aversion. We also give analytic results which interpret the assumptions of risk-aversion with respect to gains but risk-a!ection with respect to losses in terms of changes of the optimal investment of equity when the probability that equity outperforms cash goes up. For the Knight, Satchell and Tran (1995) family of distributions, it is straightforward to derive closed form expressions for the optimal portfolio weights in all cases. Using UK and US data, we confirmed that the values of the parameters in the loss aversion function suggested by many previous studies are compatible with the observed proportions held in equity in both the UK and the US. The distributional assumptions are not innocuous. However, whilst modelling upside and downside returns by gamma distributions leads to plausible results, modelling upside and downside by truncated normals does not.

Item Type:	Working or Discussion Paper (Working Paper)
Subjects:	H Social Sciences > HB Economic Theory
Divisions:	Faculty of Social Sciences > Warwick Business School > Financial Econometrics Research Centre Faculty of Social Sciences > Warwick Business School
Library of Congress Subject Headings (LCSH):	Loss aversion, Utility theory, Distribution (Economic theory), Risk perception
Series Name:	Working papers (Warwick Business School. Financial Econometrics Research Centre)
Publisher:	Warwick Business School, Financial Econometrics Research Centre
Place of Publication:	Coventry
Date:	6 June 2001
Number:	No.01-
Number of Pages:	27
Status:	Not Peer Reviewed
Access rights to Published version:	Open Access
References:	Ang, A., G. Bekeart, and J. Liu, 2000, ”Why Stocks May Disappoint,” National Bureau of Economic Research Working Paper Series 7783. Arrow, K. J., 1971, Essays in the Theory of Risk-bearing, North-Hoolland, Amsterdam. Barbersis, N., M. Huang, and T. Santos, 2001, ”Prospect Theory and Asset Prices,” Quarterly Journal of Economics 116(1), 1-53. Berkelaar, A. and R. Kouwenberg, 2000, ”From Boom til Bust: How Loss Aversion Affects Asset Prices,” Econometric Institute Report EI2000-21/A, Erasmus University Rotterdam, Netherlands. Berkelaar, A. and R. Kouwenberg, 2000, ”Optimal Portfolio Choice Under Loss Aversion,” Econometric Institute Report EI2000-08/A, Erasmus University Rotterdam, Netherlands. Benartzi, S. and R. H. Thaler, 1995, ”Myopic Loss Aversion and the Equity Premium Puzzle”, Quarterly Journal of Economics 110(1), 73-92. Bond, S., 2001, ”The Development of Dynamic Models of Semi-variance,” PhD Dissertation, Faculty of Economics and Politics, Cambridge University. Campbell, J. and L. Viceira, 1999, ”Comsumption and Portfolio Decisions When Expected Returns are Time-varying”, Quarterly Journal of Economics 114, 433-495. Damant, D. C., S. Hwang, and S. E. Satchell, 2000, ”Exponential Risk Measure with Application to UK Asset Allocation,” Applied Mathematical Finance 7, 127-152. De Bondt, W. F. M. and R. H. Thaler, 1985, ”Does the Stock Market Overreact?”, Journal of Finance 40, 793-805. Fishburn, P. C. and G. A. Kochenberger, 1979, ”Concepts, Theory, Techniques; Two-piece Von Newmann-Morgenstern Utility Functions”, Decision Sciences 10, 503-518. Friend, I. andM. E. Blume, 1975, ”The Demand for Risky Assets,” American Economic Review 65, 900-922. Gul, F., 1991, ”A Theory of Disappointment Aversion”, Econometrica 59(3), 667-686. Hamilton, J. D., 1989, ”A New Approach to the Economics and Analysis of Nonstationary Time Series and the Business Cycle,” Econometrica 57, 357-84. Kahnemann, D. and A. Tversky, 1979, ”Prospect Theory: An Analysis of Decision Under Risk”, Econometrica 47, 263-291. Kahnemann, D. and A. Tversky, 1992, ”Advances in Prospect Theory: Cumulative Representation of Uncertainty”, Journal of Risk and Uncertainty 5, 297-323. Kehoe, P. J., 1983, ”Dynamics of the Current Account: Theorectical and Empirical Analysis,” Working paper, Harvard University. Knight, J. L., S. E. Satchell, and K. C. Tran, 1995, ”Statistical Modelling of Asymmetric Risk in Asset Returns,” Applied Mathematical Finance 2, 155-172. Kydland, F. E. and E. C. Prescott, 1982, ”Time to Build and Aggregate Fluctuations,” Econometrica 50, 1345-1370. Mehra, R. and E. C. Prescott, 1985, ”The Equity Premium: A Puzzle”, Journal of Monetary Economics 15, 145-161. Pedersen, C. and S. E. Satchell, 2001, ”?????”, ??? Tobin, J. and W. Dolde, 1971, ”Wealth, Liquidity and Consumption,” in Consumer Spending and Monetary Policy: The Linkage (Federal reserve Bank of Boston, Boston, MA), 99-146.
URI:	http://wrap.warwick.ac.uk/id/eprint/1814

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