A New Example of a Closed Form Mean-Variance Representation
AbstractIn most finance papers and textbooks mean-variance preferences are usually introduced and motivated as a special case of expected utility theory. In general, the two sufficient conditions to allow this are either quadratic preferences with an arbitrary distribution of stochastic assets, or arbitrary preferences with Normally distributed assets. In the first case, the specific functional form of mean-variance preferences follows naturally. In the second case, the only specific functional form usually provided is the case of negative exponential preferences. In this note, the specific functional form for mean-variance preferences is derived for the much more realistic example of lognormally distributed assets, and constant relative risk aversion (CRRA) preferences.
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Bibliographic InfoPaper provided by Monash University, Department of Econometrics and Business Statistics in its series Monash Econometrics and Business Statistics Working Papers with number 1/09.
Length: 6 pages
Date of creation: Feb 2009
Date of revision:
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Find related papers by JEL classification:
- 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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- Hadar, Josef & Russell, William R, 1969. "Rules for Ordering Uncertain Prospects," American Economic Review, American Economic Association, vol. 59(1), pages 25-34, March.
- Bigelow, John Payne, 1993. "Consistency of mean-variance analysis and expected utility analysis : A complete characterization," Economics Letters, Elsevier, vol. 43(2), pages 187-192.
- Courakis, Anthony S, 1989. "Does Constant Relative Risk Aversion Imply Asset Demands That Are Linear in Expected Returns?," Oxford Economic Papers, Oxford University Press, vol. 41(3), pages 553-66, July.
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