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Asset Demand: A Simple Dual Approach

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  • Appelbaum, Elie

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.

Suggested Citation

  • Appelbaum, Elie, 2021. "Asset Demand: A Simple Dual Approach," MPRA Paper 113085, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:113085
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    File URL: https://mpra.ub.uni-muenchen.de/113085/1/MPRA_paper_113085.pdf
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    References listed on IDEAS

    as
    1. Machina, Mark J., 1984. "Temporal risk and the nature of induced preferences," Journal of Economic Theory, Elsevier, vol. 33(2), pages 199-231, August.
    2. Appelbaum, Elie, 2006. "A framework for empirical applications of production theory without expected utility," Journal of Economics and Business, Elsevier, vol. 58(4), pages 290-302.
    3. Elie Appelbaum & Aman Ullah, 1997. "Estimation Of Moments And Production Decisions Under Uncertainty," The Review of Economics and Statistics, MIT Press, vol. 79(4), pages 631-637, November.
    4. 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 247-257, August.
    5. Paul A. Samuelson, 1970. "The Fundamental Approximation Theorem of Portfolio Analysis in terms of Means, Variances and Higher Moments," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 37(4), pages 537-542.
    6. Elie Appelbaum & Parantap Basu, 2010. "A new methodology for studying the equity premium," Annals of Operations Research, Springer, vol. 176(1), pages 109-126, April.
    7. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Moments; Indirect Utility Function; Asset Demand; Duality.;
    All these keywords.

    JEL classification:

    • D14 - Microeconomics - - Household Behavior - - - Household Saving; Personal Finance
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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