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On the Use of a Covariance Function in a Portfolio Model

Published online by Cambridge University Press:  06 April 2009

Ardeshir J. Dalal
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Extract

In the analysis of problems of choice under uncertainty, many results depend on the investigator's ability to determine the signs of certain integrals. A recently derived method of doing this—christened the “covariance method” by Batra [2]—demonstrates that, in certain cases, recognition of the fact that the integrals involved are composed of covariance terms can provide a simple and elegant solution to the problem. This paper uses a simple portfolio model to demonstrate that these covariance terms can be exploited to obtain other useful results as well.

Type
Research Article
Information
Journal of Financial and Quantitative Analysis , Volume 18 , Issue 2 , June 1983 , pp. 223 - 227
Copyright
Copyright © School of Business Administration, University of Washington 1983

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References

[1]Arrow, Kenneth J. “The Theory of Risk Aversion.” In Essays in the Theory of Risk-Bearing. Chicago, IL: Markham (1971).Google Scholar
[2]Batra, Raveendra N.The Pure Theory of International Trade under Uncertainty. New York: John Wiley & Sons, Inc. (1975).CrossRefGoogle Scholar
[3]Batra, Raveendra N., and Russell, William J.. “Gains from Trade under Uncertainty.” American Economic Review, Vol. 64 (12 1974), pp. 1040–1048.Google Scholar
[4]Blume, M., and Friend, I.. “The Asset Structure of Individual Portfolios and Some Implications for Utility Functions.” Journal of Finance, Vol. 30 (05 1975), pp. 585–603.CrossRefGoogle Scholar
[5]Chiang, A.Fundamental Methods of Mathematical Economics. New York: McGraw-Hill (1974).Google Scholar
[6]Ishii, Yasunori. “On the Theory of the Competitive Firm under Price Uncertainty: Note.” American Economic Review, Vol. 67 (09 1977), pp. 768–769.Google Scholar
[7]Litzenberger, R. “Discussion.” Journal of Finance, Vol. 30 (05 1975), pp. 624–629.Google Scholar