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Optimal Liquidation of a Pairs Trade

In: Advanced Mathematical Methods for Finance

Author

Listed:
  • Erik Ekström

    (Uppsala University, Department of Mathematics)

  • Carl Lindberg

    (Chalmers University of Technology, Mathematical Sciences)

  • Johan Tysk

    (Uppsala University, Department of Mathematics)

Abstract

Pairs trading is a common strategy used by hedge funds. When the spread between two highly correlated assets is observed to deviate from historical observations, a long position is taken in the underpriced asset, and a short position in the overpriced one. If the spread narrows, both positions are closed, thus generating a profit. We study when to optimally liquidate a pairs trading strategy when the difference between the two assets is modeled by an Ornstein–Uhlenbeck process. We also provide a sensitivity analysis in the model parameters.

Suggested Citation

  • Erik Ekström & Carl Lindberg & Johan Tysk, 2011. "Optimal Liquidation of a Pairs Trade," Springer Books, in: Giulia Di Nunno & Bernt Øksendal (ed.), Advanced Mathematical Methods for Finance, chapter 0, pages 247-255, Springer.
  • Handle: RePEc:spr:sprchp:978-3-642-18412-3_9
    DOI: 10.1007/978-3-642-18412-3_9
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