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Stochastic Differential Utility as the Continuous-Time Limit of Recursive Utility
(2013-05-10)
We establish a convergence theorem that shows that discrete-time recursive utility, as developed by Kreps and Porteus (1978), converges to stochastic differential utility, as introduced by Duffie and Epstein (1992), in the ...
Optimal Consumption and Investment with Epstein-Zin Recursive Utility
(2016-07-04)
We study continuous-time optimal consumption and investment with Epstein-Zin recursive preferences in incomplete markets. We develop a novel approach that rigorously constructs the solution of the associated Hamilton-Jac ...