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Strategic Learning and Trading in Broker-Mediated Markets

Author

Listed:
  • Alif Aqsha
  • Fayc{c}al Drissi
  • Leandro S'anchez-Betancourt

Abstract

We study strategic interactions in a broker-mediated market. A broker provides liquidity to an informed trader and to noise traders while managing inventory in the lit market. The broker and the informed trader maximise their trading performance while filtering each other's private information; the trader estimates the broker's trading activity in the lit market while the broker estimates the informed trader's private signal. Brokers hold a strategic advantage over traders who rely solely on prices to filter information. We find that information leakage in the client's trading flow yields an economic value to the broker that is comparable to transaction costs; she speculates profitably and mitigates risk effectively, which, in turn, adversely impacts the informed trader's performance. In contrast, low signal-to-noise sources, such as prices, result in the broker's trading performance being indistinguishable from that of a naive strategy that internalises noise flow, externalises informed flow, and offloads inventory at a constant rate.

Suggested Citation

  • Alif Aqsha & Fayc{c}al Drissi & Leandro S'anchez-Betancourt, 2024. "Strategic Learning and Trading in Broker-Mediated Markets," Papers 2412.20847, arXiv.org.
    • Handle: RePEc:arx:papers:2412.20847
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    References listed on IDEAS

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    1. Philippe Bergault & Leandro S'anchez-Betancourt, 2024. "A Mean Field Game between Informed Traders and a Broker," Papers 2401.05257, arXiv.org.
    2. Huyên Pham, 2001. "Mean-Variance Hedging For Partially Observed Drift Processes," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 4(02), pages 263-284.
    3. 'Alvaro Cartea & Sebastian Jaimungal & Leandro S'anchez-Betancourt, 2024. "Nash Equilibrium between Brokers and Traders," Papers 2407.10561, arXiv.org, revised Jul 2024.
    4. Philippe Bergault & Fayc{c}al Drissi & Olivier Gu'eant, 2021. "Multi-asset optimal execution and statistical arbitrage strategies under Ornstein-Uhlenbeck dynamics," Papers 2103.13773, arXiv.org, revised Mar 2022.
    5. Roel Oomen, 2017. "Execution in an aggregator," Quantitative Finance, Taylor & Francis Journals, vol. 17(3), pages 383-404, March.
    6. Fu, Guanxing & Horst, Ulrich & Xia, Xiaonyu, 2022. "Portfolio Liquidation Games with Self-Exciting Order Flow," Rationality and Competition Discussion Paper Series 327, CRC TRR 190 Rationality and Competition.
    7. M. Butz & R. Oomen, 2019. "Internalisation by electronic FX spot dealers," Quantitative Finance, Taylor & Francis Journals, vol. 19(1), pages 35-56, January.
    8. Diego Zabaljauregui & Luciano Campi, 2019. "Optimal market making under partial information with general intensities," Papers 1902.01157, arXiv.org, revised Apr 2020.
    9. Fayçal Drissi, 2022. "Solvability of Differential Riccati Equations and Applications to Algorithmic Trading with Signals," Applied Mathematical Finance, Taylor & Francis Journals, vol. 29(6), pages 457-493, November.
    10. Philippe Bergault & Fayçal Drissi & Olivier Guéant, 2022. "Multi-asset Optimal Execution and Statistical Arbitrage Strategies under Ornstein--Uhlenbeck Dynamics," Post-Print hal-03885142, HAL.
    11. Marco Avellaneda & Sasha Stoikov, 2008. "High-frequency trading in a limit order book," Quantitative Finance, Taylor & Francis Journals, vol. 8(3), pages 217-224.
    12. Bertsimas, Dimitris & Lo, Andrew W., 1998. "Optimal control of execution costs," Journal of Financial Markets, Elsevier, vol. 1(1), pages 1-50, April.
    13. Ying Chen & Hoang Hai Tran & Ulrich Horst, 2023. "Optimal Trade Execution under Endogenous Order Flow," Rationality and Competition Discussion Paper Series 368, CRC TRR 190 Rationality and Competition.
    14. Eyal Neuman & Moritz Vo{ss}, 2020. "Optimal Signal-Adaptive Trading with Temporary and Transient Price Impact," Papers 2002.09549, arXiv.org, revised Jan 2022.
    15. Philippe Bergault & Fayçal Drissi & Olivier Guéant, 2022. "Multi-asset Optimal Execution and Statistical Arbitrage Strategies under Ornstein--Uhlenbeck Dynamics," Post-Print hal-03680071, HAL.
    16. Alessandro Micheli & Johannes Muhle-Karbe & Eyal Neuman, 2021. "Closed-Loop Nash Competition for Liquidity," Papers 2112.02961, arXiv.org, revised Jun 2023.
    17. Ryan Donnelly, 2022. "Optimal Execution: A Review," Applied Mathematical Finance, Taylor & Francis Journals, vol. 29(3), pages 181-212, May.
    18. Peter Bank & Ibrahim Ekren & Johannes Muhle-Karbe, 2018. "Liquidity in Competitive Dealer Markets," Papers 1807.08278, arXiv.org, revised Mar 2021.
    19. Peter Bank & Ibrahim Ekren & Johannes Muhle‐Karbe, 2021. "Liquidity in competitive dealer markets," Mathematical Finance, Wiley Blackwell, vol. 31(3), pages 827-856, July.
    20. Luciano Campi & Diego Zabaljauregui, 2020. "Optimal Market Making under Partial Information with General Intensities," Applied Mathematical Finance, Taylor & Francis Journals, vol. 27(1-2), pages 1-45, July.
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