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Pairs Trading with Opportunity Cost

Part of: Mathematical finance Stochastic processes

Published online by Cambridge University Press:  30 January 2018

Carl Lindberg
Carl Lindberg*
Affiliation:
The Second Swedish National Pension Fund
*
∗ Postal address: The Second Swedish National Pension Fund, Box 11155, Gothenburg, 404 24, Sweden, Email address: [email protected]
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Abstract

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Pairs trading is a trading strategy which is used very frequently in the financial industry. An investment opportunity arises when the spread between two assets, which historically have exhibited autoregressive behavior, deviates from its recent history. In this case, the investor takes a long position in the asset which is expected to outperform going forward and finances this by taking a short position in the other one. If the spread converges, the investor can close both positions to generate a profit. We model the spread between two assets as an Ornstein-Uhlenbeck process and assume a constant opportunity cost. We then study the optimal liquidation strategy for an investor who wants to optimize profit in excess of the opportunity cost. Including this cost is important from an applied perspective, as the performance of any investment is always evaluated relative to the performance of the opportunity set.

Keywords

Optimal stoppingpairs tradingopportunity costoptimizationtrading

MSC classification

Primary: 91G80: Financial applications of other theories (stochastic control, calculus of variations, PDE, SPDE, dynamical systems) 60G40: Stopping times; optimal stopping problems; gambling theory
Type
Research Article
Information
Journal of Applied Probability , Volume 51 , Issue 1 , March 2014 , pp. 282 - 286
Copyright
© Applied Probability Trust 

References

Ehrman, D. S. (2006). The Handbook of Pairs Trading: Strategies Using Equities, Options, and Futures. John Wiley, Hoboken, NJ.Google Scholar
Ekström, E., Lindberg, C. and Tysk, J. (2011). Optimal liquidation of a pairs trade. In Advanced Mathematical Methods for Finance, Springer, Heidelberg, pp. 247–255.CrossRefGoogle Scholar
Elliott, R. J., van der Hoek, J. and Malcolm, W. P. (2005). Pairs trading. Quant. Finance 5, 271–276.Google Scholar
Gatev, E., Goetzmann, W. N. and Rouwenhorst, K. G. (2006). Pairs trading: performance of a relative-value arbitrage rule. Rev. Financial Studies 19, 797–827.Google Scholar
Karatzas, I. and Shreve, S. E. (1991). Brownian Motion and Stochastic Calculus. Springer, New York.Google Scholar
Larsson, S., Lindberg, C. and Warfheimer, M. (2013). Optimal closing of a pair trade with a model containing Jumps. Appl. Math. 58, 249–268.CrossRefGoogle Scholar
Peskir, G. and Shiryaev, A. (2006). Optimal Stopping and Free-Boundary Problems. Birkhäuser, Basel.Google Scholar
Vidyamurthy, G. (2004). Pairs Trading: Quantitative Methods and Analysis. John Wiley, Hoboken, NJ.Google Scholar
Whistler, M. (2004). Trading Pairs: Capturing Profits and Hedging Risk with Statistical Arbitrage Strategies. John Wiley, Hoboken, NJ.Google Scholar