This paper introduces a dual problem to study a continuous-time consumption and investment problem with incomplete markets and Epstein-Zin stochastic differential utility. Duality between the primal and dual problems is established. Consequently the optimal strategy of this consumption and...

Errors in survey expectations display waves of pessimism and optimism and significant sluggishness. This paper develops a novel theoretical framework of time-varying beliefs capturing these empirical facts. In our model, the dynamic beliefs arise endogenously due to agents’ attitude toward...

We study aversion to model ambiguity and misspecification in dynamic portfolio choice. Investors with relative risk aversion gamma 1 fear return persistence, while risk-tolerant investors (0 gamma 1) fear return mean reversion, to confront model misspecification concerns when facing a model...

In a market with stochastic investment opportunities, we study an optimal consumption investment problem for an agent with recursive utility of Epstein-Zin type. Focusing on the empirically relevant specification where both risk aversion and elasticity of intertemporal substitution are in excess...

When the planning horizon is long, and the safe asset grows indefinitely, iso-elastic portfolios are nearly optimal for investors who are close to iso-elastic for high wealth, and not too risk averse for low wealth. We prove this result in a general arbitrage-free, frictionless, semi-martingale...

We examine dynamic contracts when output has negative environmental effects and the manager (agent) can invest to build up ESG capital and mitigate the externality. The incentive component of the optimal contract rewards based on cash flow and ESG capital when the principal is risk neutral; and...