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Smooth Ambiguity Aversion toward Small Risks and Continuous-Time Recursive Utility
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DOI：10.1086/671179.png)
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Assuming Brownian/Poisson uncertainty, a certainty equivalent ((CE)) based on the smooth second-order expected utility of Klibanoff, Marinacci, and Mukerji is shown to be approximately equal to an expected-utility CE. As a consequence, the corresponding continuous-time recursive utility form is the same as for Kreps-Porteus utility. The analogous conclusions are drawn for a smooth divergence CE, based on a formulation of Maccheroni, Marinacci, and Rustichini, but only under Brownian uncertainty. Under Poisson uncertainty, a smooth divergence CE can be approximated with an expected-utility CE if and only if it is of the entropic type. A nonentropic divergence CE results in a new class of continuous-time recursive utilities that price Brownian and Poissonian risks differently.
Keyword:
STOCHASTIC DIFFERENTIAL UTILITY
ASSET RETURNS
EXPECTED UTILITY
EQUITY PREMIUM
ROBUST-CONTROL
UNCERTAINTY
CONSUMPTION
PREFERENCES
PUZZLE
MODEL
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