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Calculation of Price Equilibria for Utility Functions of the HARA Class

Markus Lienhard

ASTIN Bulletin, 1986, vol. 16, issue S1, S91-S97

Abstract: We explicitly calculate price equilibria for power and logarithmic utility functions which—together with the exponential utility functions—form the so-called HARA (Hyperbolic Absolute Risk Aversion) class. A price equilibrium is economically admissible in the market which is a closed system. Furthermore it is on the one side individually optimal for each participant of the market (in the sense of maximal expected utility), on the other side it is a Pareto optimum and thus collectively optimal for the market as a whole.

Date: 1986
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