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Over-the-Counter Market Making via Reinforcement Learning

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  • Zhou Fang
  • Haiqing Xu

Abstract

The over-the-counter (OTC) market is characterized by a unique feature that allows market makers to adjust bid-ask spreads based on order size. However, this flexibility introduces complexity, transforming the market-making problem into a high-dimensional stochastic control problem that presents significant challenges. To address this, this paper proposes an innovative solution utilizing reinforcement learning techniques to tackle the OTC market-making problem. By assuming a linear inverse relationship between market order arrival intensity and bid-ask spreads, we demonstrate the optimal policy for bid-ask spreads follows a Gaussian distribution. We apply two reinforcement learning algorithms to conduct a numerical analysis, revealing the resulting return distribution and bid-ask spreads under different time and inventory levels.

Suggested Citation

  • Zhou Fang & Haiqing Xu, 2023. "Over-the-Counter Market Making via Reinforcement Learning," Papers 2307.01816, arXiv.org.
  • Handle: RePEc:arx:papers:2307.01816
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    References listed on IDEAS

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    1. Philippe Bergault & Olivier Guéant, 2021. "Size matters for OTC market makers: General results and dimensionality reduction techniques," Mathematical Finance, Wiley Blackwell, vol. 31(1), pages 279-322, January.
    2. repec:bla:jfinan:v:43:y:1988:i:3:p:617-37 is not listed on IDEAS
    3. Marco Avellaneda & Sasha Stoikov, 2008. "High-frequency trading in a limit order book," Quantitative Finance, Taylor & Francis Journals, vol. 8(3), pages 217-224.
    4. Alexander Barzykin & Philippe Bergault & Olivier Guéant, 2022. "Dealing with multi-currency inventory risk in FX cash markets," Working Papers hal-03857966, HAL.
    5. Grossman, S.J. & Miller, M.H., 1988. "Liquidity And Market Structure," Papers 88, Princeton, Department of Economics - Financial Research Center.
    6. Yanwei Jia & Xun Yu Zhou, 2021. "Policy Gradient and Actor-Critic Learning in Continuous Time and Space: Theory and Algorithms," Papers 2111.11232, arXiv.org, revised Jul 2022.
    7. Philippe Bergault & David Evangelista & Olivier Guéant & Douglas Vieira, 2021. "Closed-form Approximations in Multi-asset Market Making," Applied Mathematical Finance, Taylor & Francis Journals, vol. 28(2), pages 101-142, March.
    8. Ho, Thomas & Stoll, Hans R., 1981. "Optimal dealer pricing under transactions and return uncertainty," Journal of Financial Economics, Elsevier, vol. 9(1), pages 47-73, March.
    9. Yanwei Jia & Xun Yu Zhou, 2021. "Policy Evaluation and Temporal-Difference Learning in Continuous Time and Space: A Martingale Approach," Papers 2108.06655, arXiv.org, revised Feb 2022.
    10. Álvaro Cartea & Yixuan Wang, 2020. "Market Making With Alpha Signals," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 23(03), pages 1-26, May.
    11. Álvaro Cartea & Yixuan Wang, 2019. "Market making with minimum resting times," Quantitative Finance, Taylor & Francis Journals, vol. 19(6), pages 903-920, June.
    12. Jonathan Sadighian, 2020. "Extending Deep Reinforcement Learning Frameworks in Cryptocurrency Market Making," Papers 2004.06985, arXiv.org.
    13. Sumitra Ganesh & Nelson Vadori & Mengda Xu & Hua Zheng & Prashant Reddy & Manuela Veloso, 2019. "Reinforcement Learning for Market Making in a Multi-agent Dealer Market," Papers 1911.05892, arXiv.org.
    14. Philippe Bergault & David Evangelista & Olivier Guéant & Douglas Vieira, 2021. "Closed-form Approximations in Multi-asset Market Making," Post-Print hal-03885121, HAL.
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