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A note on optimal consumption and investment in a geometric Ornstein–Uhlenbeck market

  • Christina Ziehaus
Published/Copyright: August 31, 2012
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Abstract

We consider the problem of maximizing the utility of consumption and terminal wealth in a geometric Ornstein–Uhlenbeck market. We calculate the optimal consumption and wealth processes for power, logarithmic and exponential utility as well as their behavior depending e.g. on subjective discounting or the time horizon. We also use a specific example to show the identity of the solutions calculated by the primal and the dual method.


* Correspondence address: Vienna University of Technology, Wiedner Hauptstraße 8-10/105-1, 1040 Wien, Österreich,

Published Online: 2012-08-31
Published in Print: 2012-08

© by Oldenbourg Wissenschaftsverlag, München, Germany

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