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Exponential Hedging for the Ornstein-Uhlenbeck Process in the Presence of Linear Price Impact

Published: September 29, 2025 | arXiv ID: 2509.25472v1

By: Yan Dolinsky

Potential Business Impact:

Helps investors make more money with stocks.

Business Areas:
Prediction Markets Financial Services

In this work we study a continuous time exponential utility maximization problem in the presence of a linear temporary price impact. More precisely, for the case where the risky asset is given by the Ornstein-Uhlenbeck diffusion process we compute the optimal portfolio strategy and the corresponding value. Our method of solution relies on duality, and it is purely probabilistic.

Page Count
9 pages

Category
Quantitative Finance:
Portfolio Management