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Title: Calculation of the Price Equilibria for Utility Functions of the HARA Class
Author(s): LIENHARD, Markus
Journal: ASTIN Bulletin
Volume: 16    Issue: s   Date: April 1986   
Pages: 91-97
DOI: 10.2143/AST.16.3.2014995

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.