Robust Utility Maximization with Drift and Volatility Uncertainty

Kerem Ugurlu

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arXiv · 1909.05335

Robust Utility Maximization with Drift and Volatility Uncertainty

Kerem Ugurlu

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Abstract

We give explicit solutions for utility maximization of terminal wealth problem $u(X_T)$ in the presence of Knightian uncertainty in continuous time $[0,T]$ in a complete market. We assume there is uncertainty on both drift and volatility of the underlying stocks, which induce nonequivalent measures on canonical space of continuous paths $\O$. We take that the uncertainty set resides in compact sets that are time dependent. In this framework, we solve the robust optimization problem with logarithmic, power and exponential utility functions, explicitly.

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BibTeX RIS

Kerem Ugurlu. 2019-09-11. Robust Utility Maximization with Drift and Volatility Uncertainty. https://arxiv.org/abs/1909.05335

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