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Necessary and Sufficient Conditions for the Mean-Variance Portfolio Model With Constant Risk Aversion

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  • Epps, Thomas W.

Abstract

The familiar two-parameter model for portfolio decisions, attributed to Markowitz [11], has individuals maximizing an objective function, ϕ [E(Y), V(Y)], of mean and variance of end-of-period wealth, subject to a constraint imposed by initial wealth. In the usual version there is an arbitrary number, n, of risky assets with stochastic end-of-period values (price plus dividend) represented by the vector X with exogenously given mean vector μ and nonsingular variance matrix σ. There is also one riskless asset, whose certain end-of-period value per dollar invested is p. Final wealth, as constrained by initial wealth, W, is given by Y = WP + a' (X – OP), where a and P are vectors of risky asset quantities and prices. Assuming ϕE > 0 (wealth preference), ϕV

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  • Epps, Thomas W., 1981. "Necessary and Sufficient Conditions for the Mean-Variance Portfolio Model With Constant Risk Aversion," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 16(2), pages 169-176, June.
    • Handle: RePEc:cup:jfinqa:v:16:y:1981:i:02:p:169-176_00
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    Cited by:

    1. Holland, Steven J., 2009. "Tipping as risk sharing," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 38(4), pages 641-647, August.
    2. Maria-Teresa Bosch-Badia & Joan Montllor-Serrats & Maria-Antonia Tarrazon-Rodon, 2017. "Analysing the information embedded in the optimal mean–variance weights: CAPM versus Bamberg and Dorfleitner model," Review of Managerial Science, Springer, vol. 11(4), pages 789-814, October.

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