Abstract

<p style='text-indent:20px;'>This paper studies multi-asset pairs trading strategies of maximizing the expected exponential utility of terminal wealth. We model the log-relationship between each pair of stock prices as an Ornstein-Uhlenbeck (O-U) process, and formulate a portfolio optimization problem. Using the classical stochastic control approach based on the Hamilton-Jacobi-Bellman (HJB) equation, we characterize the optimal strategies and provide a verification result for the value function. Finally, we give some numerical results to show the characteristics of pairs trading.</p>

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