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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 continuous …
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We explore intertemporal preferences that are recursive and account for local intertemporal substitution. First, we establish a rigorous foundation for these preferences and analyze their properties. Next, we examine the associated optimal consumption problem, proving the existence and...
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stochastic differential formulation of intertemporal recursive utility. The present class of utility functionals is generated by … a backward stochastic differential equation and incorporates preference for the local risk of the stochastic utility …
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