The Bellman equation for power utility maximization with semimartingales

Marcel Nutz

Papers from arXiv.org

Abstract: We study utility maximization for power utility random fields with and without intermediate consumption in a general semimartingale model with closed portfolio constraints. We show that any optimal strategy leads to a solution of the corresponding Bellman equation. The optimal strategies are described pointwise in terms of the opportunity process, which is characterized as the minimal solution of the Bellman equation. We also give verification theorems for this equation.

Date: 2009-12, Revised 2012-03
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Citations: View citations in EconPapers (8)

Published in Annals of Applied Probability 2012, Vol. 22, No. 1, 363-406

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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:0912.1883

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