In this paper, we propose a stochastic control approach to the problem of pairs trading. We model the log-relationship between a pair of stock prices as an Ornstein-Uhlenbeck process and use this to formulate a portfolio optimization based stochastic control problem. We are able to obtain the optimal solution to this control problem in closed form via the corresponding Hamilton-Jacobi- Bellman equation. We also provide closed form maximum-likelihood estimation values for the parameters in the model. The approach is illustrated with a numerical example involving simulated data for a pair of stocks. ©2008 AACC.
CITATION STYLE
Mudchanatongsuk, S., Primbs, J. A., & Wong, W. (2008). Optimal pairs trading: A stochastic control approach. In Proceedings of the American Control Conference (pp. 1035–1039). https://doi.org/10.1109/ACC.2008.4586628
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