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Stock Price Co-Movement and the Foundations of Pairs Trading

Published online by Cambridge University Press:  24 August 2018

Abstract

We study the theoretical implications of cointegrated stock prices on the profitability of pairs-trading strategies. If stock returns are fairly weakly correlated across time, cointegration implies very high Sharpe ratios. To the extent that the theoretical Sharpe ratios are “too large,” our results suggest that either i) cointegration does not exist pairwise among stocks, and pairs-trading profits are a result of a weaker or less stable dependency structure among stock pairs, or ii) the serial correlation in stock returns stretches over considerably longer horizons than is usually assumed. Empirically, there is little evidence of cointegration, favoring the first explanation.

Type
Research Article
Copyright
Copyright © Michael G. Foster School of Business, University of Washington 2018 

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Footnotes

1

We have benefited from comments by an anonymous referee, Hendrik Bessembinder (the editor), Kim Christensen, David Edgerton, Randi Hjalmarsson, Pär Österholm, Richard Payne, Joakim Westerlund, and seminar participants at CREATES, Lund University, Örebro University, the 2016 Southampton Finance and Econometrics Workshop, and the 2017 European Summer Meeting of the Econometric Society. The authors gratefully acknowledge financial support from the Nasdaq Nordic Foundation.

References

Ardia, D.; Gatarek, L. T.; Hoogerheide, L.; and van Dijk, H. K.. “Return and Risk of Pairs Trading Using a Simulation-Based Bayesian Procedure for Predicting Stable Ratios of Stock Prices.” Econometrics, 4 (2016), 119.Google Scholar
Beveridge, S., and Nelson, C. R.. “A New Approach to Decomposition of Economic Time Series into Permanent and Transitory Components with Particular Attention to Measurement of the ‘Business Cycle’.” Journal of Monetary Economics, 7 (1981), 151174.Google Scholar
Bossaerts, P.Common Nonstationary Components of Asset Prices.” Journal of Economic Dynamics and Control, 12 (1988), 347364.Google Scholar
Bowen, D. A., and Hutchinson, M. C.. “Pairs Trading in the UK Equity Market: Risk and Return.” European Journal of Finance, 22 (2016), 13631387.Google Scholar
Brockwell, P., and Davis, R.. Time Series: Theory and Methods, 2nd ed. New York, NY: Springer (1991).Google Scholar
Corhay, A.; Tourani Rad, A.; and Urbain, J. P.. “Common Stochastic Trends in European Stock Markets.” Economics Letters, 42 (1993), 385390.Google Scholar
De Rossi, G.; Jones, C.; Lancetti, S.; Jessop, D.; and Sefton, J.. “Understanding Pairs Trading.” UBS Investment Research, Global Quantitative Research Monographs (2010).Google Scholar
Do, B., and Faff, R.. “Does Simple Pairs Trading Still Work?Financial Analysts Journal, 66 (2010), 8395.Google Scholar
Do, B., and Faff, R.. “Are Pairs Trading Profits Robust to Trading Costs?Journal of Financial Research, 35 (2012), 261287.Google Scholar
Engelberg, J.; Gao, G.; and Jagannathan, R.. “An Anatomy of Pairs Trading: The Role of Idiosyncratic News, Common Information and Liquidity.” Available at https://ssrn.com/abstract=1330689 (2009).Google Scholar
Gatev, E.; Goetzmann, W. N.; and Rouwenhorst, K. G.. “Pairs Trading: Performance of a Relative-Value Arbitrage Rule.” Review of Financial Studies, 19 (2006), 797827.Google Scholar
Granger, C.Developments in the Study of Cointegrated Economic Variables.” Oxford Bulletin of Economics and Statistics, 48 (1986), 213228.Google Scholar
Holmén, M.“Foreign Investors and Dual Class Shares.” Working Paper, University of Gothenburg (2011).Google Scholar
Jacobs, H., and Weber, M.. “On the Determinants of Pairs Trading Profitability.” Journal of Financial Markets, 23 (2015), 7597.Google Scholar
Jones, C. M.“A Century of Stock Market Liquidity and Trading Costs.” Available at https://ssrn.com/abstract=313681 (2002).Google Scholar
Kasa, K.Common Stochastic Trends in International Stock Markets.” Journal of Monetary Economics, 29 (1992), 95124.Google Scholar
La Porta, R.; Lopez-de-Silanes, F.; Shleifer, A.; and Vishny, R. W.. “Law and Finance.” Journal of Political Economy, 106 (1998), 11131155.Google Scholar
Nagel, S.Evaporating Liquidity.” Review of Financial Studies, 25 (2012), 20052039.Google Scholar
Nenova, T.The Value of Corporate Voting Rights and Control: A Cross-Country Analysis.” Journal of Financial Economics, 68 (2003), 325351.Google Scholar
Newey, W. K., and West, K. D.. “A Simple, Positive Semi-Definite, Heteroskedasticity and Autocorrelation Consistent Covariance Matrix.” Econometrica, 55 (1987), 703708.Google Scholar
Phillips, P. C. B., and Solo, V.. “Asymptotics for Linear Processes.” Annals of Statistics, 20 (1992), 9711001.Google Scholar
Richards, A. J.Comovements in National Stock Market Returns: Evidence of Predictability, But Not Cointegration.” Journal of Monetary Economics, 36 (1995), 631654.Google Scholar
Schultz, P., and Shive, S.. “Mispricing of Dual-Class Shares: Profit Opportunities, Arbitrage, and Trading.” Journal of Financial Economics, 98 (2010), 524549.Google Scholar
Wahal, S., and Conrad, J. S.. “The  Term  Structure  of  Liquidity Provision.”   Available  at  https://ssrn.com/abstract=2837111 (2017).Google Scholar
Wold, H. A Study in the Analysis of Stationary Time Series. Uppsala, Sweden: Almqvist and Wiksell (1938).Google Scholar