Pairs trading strategies in a cointegration framework: back-tested on CFD and optimized by profit factor

ABSTRACT

Statistical arbitrage is based on pairs trading of mean-reverting returns. We used cointegration approach and ECM-DCC-GARCH to construct 98 pairs of 152 stocks of 3 currencies. Stocks trading is done by Contract for Difference (CFD), a financial derivative product which facilitates short selling and provides a leverage up to 25 times. To measure the performance of a leveraged strategy, we introduced the profit factor which is the annualized return rate per unit risk. And the historical risk is measured by maximum drawdown. We compared three main strategies: percentage, standard deviation of cointegration long-term residuals and Bollinger Bands (dynamic standard deviation), with and without double confirmation of short-term standard deviation modelled by ECM-DCC-GARCH. Each of the three main strategies is optimized by two optimizers: absolute profit and profit factor. The optimization period goes from 2012–01-01 to 2014–12-31, and validation period is from 2015–01-01 to 2016–06-01. Our results showed that the USD Bollinger Bands strategy without double confirmation and optimized by profit factor, outperformed other strategies and provided the highest annualized return rate per unit risk; 32% of our sample pairs ended up in loss, and 94% of which are explained by a cointegration break during the testing period.

KEYWORDS:

• Pairs trading
• cointegration
• GARCH Model
• Bollinger bands
• back-testing
• profit factor

JEL CLASSIFICATION:

• G11
• D84
• C53

Disclosure statement

No potential conflict of interest was reported by the authors.

Acknowledgements

We thank the Research Chair of Rennes 1 Foundation “Nouveaux défis de la banque” for its support.