In a fully general semimartingale setting, this article establishes existence, uniqueness, monotonicity, concavity, and a utility gradient inequality for continuous-time recursive utility in the Epstein-Zin parametrization with relative risk aversion $\gamma$ and elasticity of intertemporal...

We establish a convergence theorem that shows that discrete-time recursive utility, as developed by Kreps and Porteus (1978), converges to stochastic di erential utility, as introduced by Du e and Epstein (1992), in the continuous-time limit of vanishing grid size

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-time limit of vanishing grid size.

We study consumption-portfolio and asset pricing frameworks with recursive preferences and unspanned risk. We show that in both cases, portfolio choice and asset pricing, the value function of the investor/representative agent can be characterized by a specific semilinear partial differential...

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-Jacobi-Bellman equation by a fixed point argument and makes it possible to...