Optimal investment and consumption under logarithmic utility and uncertainty model

Wahid Faidi

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arXiv · 2211.05367

Optimal investment and consumption under logarithmic utility and uncertainty model

Wahid Faidi

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Abstract

We study a robust utility maximization problem in the case of an incomplete market and logarithmic utility with general stochastic constraints, not necessarily convex. Our problem is equivalent to maximizing of nonlinear expected logarithmic utility. We characterize the optimal solution using quadratic BSDE.

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Wahid Faidi. 2024-06-14. Optimal investment and consumption under logarithmic utility and uncertainty model. https://arxiv.org/abs/2211.05367

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