Quasi‐geometric discounting: A closed‐form solution under the exponential utility function

This paper studies a discrete‐time utility maximization problem of an infinitely‐lived quasi‐geometric consumer whose labour income is subject to uninsurable idiosyncratic productivity shocks. We restrict attention to a first‐order Markov recursive solution. We show that under the assumption of the exponential utility function, the problem of the quasi‐geometric consumer admits a closed‐form solution.