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A Non-Stationary Model for Statistical Arbitrage Trading

17 Pages Posted: 1 Jul 2010  

William Karel Bertram

ITG Australia Limited

Date Written: June 30, 2010


In this paper we present a non-stationary model for statistical arbitrage trading. This model represents the security price as the sum of an arithmetic Brownian motion and an Ornstein-Uhlenbeck process. A continuous time trading strategy is derived for the process and expressions for the expected value and the variance of the return are formulated. Analytic solutions to problem are obtained in the case where the non-stationary component has zero drift.

Keywords: Econophysics, Stochastic Processes, Analytic Solutions

Suggested Citation

Bertram, William Karel, A Non-Stationary Model for Statistical Arbitrage Trading (June 30, 2010). Available at SSRN: or

William Karel Bertram (Contact Author)

ITG Australia Limited ( email )

1 Macquarie Place
Level 41
Sydney, 2000

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