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Mean-Variance Utility Functions and the Demand for Risky Assets: An Empirical Analysis Using Flexible Functional Forms

Published online by Cambridge University Press:  01 December 2009

Varouj A. Aivazian ,
Jeffrey L. Callen ,
Itzhak Krinsky  and
Clarence C. Y. Kwan
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Extract

In a recent study, Levy and Markowitz [15] demonstrate that, at least for some utility functions, expected utility can be approximated by a judiciously chosen function defined over mean and variance. In addition to resurrecting mean-variance analysis from the limbo into which it was placed by the criticisms of Borch [10] and others, the analysis by Levy and Markowitz yields a more direct approach to portfolio analysis than that provided by the current empirical literature. The current portfolio literature is concerned with notions of efficient sets and systematic risk rather than with utility functions and mean-variance. While much has been gained from a utility-free methodology, it is ultimately predicated upon a separation theorem and, hence, an environment with zero transactions costs. But security markets are not costless and the separation theorem may not hold. In that event, a utility-dependent approach to portfolio analysis could potentially lead to more powerful results especially if such an approach could be empirically implemented.

Information

Type
Research Article
Information
Journal of Financial and Quantitative Analysis , Volume 18 , Issue 4 , December 1983 , pp. 411 - 424
Copyright
Copyright © School of Business Administration, University of Washington 1983

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