, Volume 21, Issue 1, pp 145-152

Power Utility Maximization in an Exponential Lévy Model Without a Risk-free Asset

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Abstract

We consider the problem of maximizing the expected power utility from terminal wealth in a market where logarithmic securities prices follow a Lévy process. By Girsanov’s theorem, we give explicit solutions for power utility of undiscounted terminal wealth in terms of the Lévy-Khintchine triplet.