Utility Maximization with a Stochastic Clock and an Unbounded Random Endowment

Gordan Zitkovic

Papers from arXiv.org

Abstract: We introduce a linear space of finitely additive measures to treat the problem of optimal expected utility from consumption under a stochastic clock and an unbounded random endowment process. In this way we establish existence and uniqueness for a large class of utility-maximization problems including the classical ones of terminal wealth or consumption, as well as the problems that depend on a random time horizon or multiple consumption instances. As an example we explicitly treat the problem of maximizing the logarithmic utility of a consumption stream, where the local time of an Ornstein-Uhlenbeck process acts as a stochastic clock.

Date: 2005-03
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Citations: View citations in EconPapers (11)

Published in Annals of Applied Probability 2005, Vol. 15, No. 1B, 748-777

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