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Algorithmic Trading Of Co-Integrated Assets

Author

Listed:
  • ÁLVARO CARTEA

    (Department of Mathematics, University of Oxford, Oxford, UK*Oxford-Man Institute of Quantitative Finance, Oxford, UK)

  • SEBASTIAN JAIMUNGAL

    (#x2020;Department of Statistical Sciences, University of Toronto, Toronto, Canada)

Abstract

We assume that the drift in the returns of asset prices consists of an idiosyncratic component and a common component given by a co-integration factor. We analyze the optimal investment strategy for an agent who maximizes expected utility of wealth by dynamically trading in these assets. The optimal solution is constructed explicitly in closed-form and is shown to be affine in the co-integration factor. We calibrate the model to three assets traded on the Nasdaq exchange (Google, Facebook, and Amazon) and employ simulations to showcase the strategy’s performance.

Suggested Citation

  • Álvaro Cartea & Sebastian Jaimungal, 2016. "Algorithmic Trading Of Co-Integrated Assets," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 19(06), pages 1-18, September.
    • Handle: RePEc:wsi:ijtafx:v:19:y:2016:i:06:n:s0219024916500382
    DOI: 10.1142/S0219024916500382
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    References listed on IDEAS

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    1. Lei, Yaoting & Xu, Jing, 2015. "Costly arbitrage through pairs trading," Journal of Economic Dynamics and Control, Elsevier, vol. 56(C), pages 1-19.
    2. Tourin, Agnès & Yan, Raphael, 2013. "Dynamic pairs trading using the stochastic control approach," Journal of Economic Dynamics and Control, Elsevier, vol. 37(10), pages 1972-1981.
    3. Tim Leung & Xin Li, 2015. "Optimal Mean Reversion Trading With Transaction Costs And Stop-Loss Exit," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 18(03), pages 1-31.
    4. Duan, Jin-Chuan & Pliska, Stanley R., 2004. "Option valuation with co-integrated asset prices," Journal of Economic Dynamics and Control, Elsevier, vol. 28(4), pages 727-754, January.
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    Citations

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    Cited by:

    1. Jorge Guijarro-Ordonez & Markus Pelger & Greg Zanotti, 2021. "Deep Learning Statistical Arbitrage," Papers 2106.04028, arXiv.org, revised Oct 2022.
    2. Bahman Angoshtari & Tim Leung, 2019. "Optimal dynamic basis trading," Annals of Finance, Springer, vol. 15(3), pages 307-335, September.
    3. Álvaro Cartea & Sebastian Jaimungal & Jason Ricci, 2018. "Trading Strategies Within The Edges Of No-Arbitrage," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 21(03), pages 1-37, May.
    4. Suhan Altay & Katia Colaneri & Zehra Eksi, 2017. "Pairs Trading under Drift Uncertainty and Risk Penalization," Papers 1704.06697, arXiv.org, revised Sep 2018.
    5. Sühan Altay & Katia Colaneri & Zehra Eksi, 2021. "Optimal convergence trading with unobservable pricing errors," Annals of Operations Research, Springer, vol. 299(1), pages 133-161, April.
    6. Jorge Guijarro-Ordonez, 2019. "High-dimensional statistical arbitrage with factor models and stochastic control," Papers 1901.09309, arXiv.org, revised Jun 2021.
    7. Sühan Altay & Katia Colaneri & Zehra Eksi, 2018. "Pairs Trading Under Drift Uncertainty And Risk Penalization," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 21(07), pages 1-24, November.
    8. Suhan Altay & Katia Colaneri & Zehra Eksi, 2019. "Optimal Convergence Trading with Unobservable Pricing Errors," Papers 1910.01438, arXiv.org, revised Oct 2019.

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