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Consumption Habits and Humps
(2015-07-10)
We show that the optimal consumption of an individual over the life cycle can have the hump shape (inverted U-shape) observed empirically if the preferences of the individual exhibit internal habit formation. In the absence ...
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 ...
Consumption and Wage Humps in a Life-Cycle Model with Education
(2015-02-24)
The observed hump-shaped life-cycle pattern in individuals’ consumption cannot be explained by the classical consumption-savings model. The consensus explanation is that the hump is caused by constraints and unspanned ...