Appelbaum, Elie (2021): Asset Demand: A Simple Dual Approach.
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Abstract
This paper provides a simple framework for obtaining asset demand using indirect utility functions. Assuming expected utility maximization, we show that assets are held according to their mean returns' proportional marginal utility. We also show that an asset's equilibrium equity premium is given by the ratio of the indirect utility function's mean and standard deviation elasticities. Furthermore, we show that we can extend these results to a non-expected utility framework.
Item Type: | MPRA Paper |
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Original Title: | Asset Demand: A Simple Dual Approach |
Language: | English |
Keywords: | Moments, Indirect Utility Function, Asset Demand, Duality. |
Subjects: | D - Microeconomics > D1 - Household Behavior and Family Economics > D14 - Household Saving; Personal Finance D - Microeconomics > D8 - Information, Knowledge, and Uncertainty > D80 - General D - Microeconomics > D8 - Information, Knowledge, and Uncertainty > D81 - Criteria for Decision-Making under Risk and Uncertainty G - Financial Economics > G1 - General Financial Markets > G11 - Portfolio Choice ; Investment Decisions |
Item ID: | 113085 |
Depositing User: | Elie Appelbaum |
Date Deposited: | 15 May 2022 07:46 |
Last Modified: | 15 May 2022 07:46 |
References: | Appelbaum, E. and A. Ullah, (1997), “Estimation of Moments and Production Decisions under Uncertainty,” Review of Economics and Statistics. Appelbaum, E. (2006), “A framework for empirical applications of production theory without expected utility,” Journal of Economics and Business 58 (4), 290-302. Appelbaum, E., and P. Basu (2010), “A new methodology for studying the equity premium,” Annals of Operations Research, 176 (1), 109-126. Arrow, K.J., (1965), “Aspects of the Theory of Risk Bearing,” Helsinki 1965. Merton, R.C., (1969), Lifetime portfolio selection under uncertainty: The continuous time case, Review of Economics and Statistics 51, 247—257. Machina, M., (1984), “Temporal Risk and Induced Preferences,” Journal of Economic Theory, 33, pp. 199-231. Markowitz, H.M. (1952), “Portfolio Selection,” The Journal of Finance, 7, 1, 77—91. Samuelson, P.A., (1970), “The Fundamental Approximation Theorem of Portfolio Analysis in Terms of Means, Variances and Higher Moments,” Review of Economic Studies, 37, 537-542. Sharpe, W.F., (1964), “Capital asset prices: A theory of market equilibrium under conditions of risk,” Journal of Finance 19, 425—42. Sharpe, W. F., (1966), “Mutual Fund Performance,” Journal of Business, 39, 119—138. Wilks, S.S, (1964), Mathematical Statistics, John Wiley & Sons, New York. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/113085 |