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pairs trading; optimal stopping; Ornstein-Uhlenbeck type process; finite element method; error estimate

References:

[1] Brenner, S. C., Scott, L. R.: **The Mathematical Theory of Finite Element Methods. 3rd ed., Texts in Applied Mathematics 15**. Springer New York (2008). MR 2373954

[2] Ekström, E., Lindberg, C., Tysk, J.: **Optimal liquidation of a pair trade**. (to appear). MR 2792082

[3] Elliott, R. J., Hoek, J. van der, Malcolm, W. P.: **Pairs trading**. Quant. Finance 5 (2005), 271-276. DOI 10.1080/14697680500149370 | MR 2238537

[4] Evans, L. C.: **Partial Differential Equations**. Graduate Studies in Mathematics 19 American Mathematical Society, Providence, RI (1998). MR 1625845 | Zbl 0902.35002

[5] Garroni, M. G., Menaldi, J. L.: **Second Order Elliptic Integro-Differential Problems**. Chapman & Hall/CRC (2002). MR 1911531 | Zbl 1014.45002

[6] Gatev, E., Goetzmann, W., Rouwenhorst, G.: **Pairs trading: performance of a relative-value arbitrage**. Review of Financial Studies 19 (2006), 797-827. DOI 10.1093/rfs/hhj020

[7] Karatzas, I., Shreve, S. E.: **Brownian Motion and Stochastic Calculus**. Graduate Texts in Mathematics 113 Springer, New York (1988). DOI 10.1007/978-1-4684-0302-2_2 | MR 0917065 | Zbl 0638.60065

[8] Larsson, S., Thomée, V.: **Partial Differential Equations with Numerical Methods**. Texts in Applied Mathematics 45 Springer, Berlin (2003). MR 1995838 | Zbl 1025.65002

[9] Peskir, G., Shiryaev, A.: **Optimal Stopping and Free-Boundary Problems, Lectures in Mathematics, ETH Zürich**. Birkhäuser Basel (2006). MR 2256030

[10] Protter, P. E.: **Stochastic Integration and Differential Equations**. Stochastic Modelling and Applied Probability 21, Second edition. Version 2.1. Corrected third printing Springer, Berlin (2005). MR 2273672

[11] Schatz, A. H.: **An observation concerning Ritz-Galerkin methods with indefinite bilinear forms**. Math. Comput. 28 (1974), 959-962. DOI 10.1090/S0025-5718-1974-0373326-0 | MR 0373326 | Zbl 0321.65059