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Optimal make-take fees for market making regulation

Author

Listed:
  • Omar El Euch
  • Thibaut Mastrolia
  • Mathieu Rosenbaum
  • Nizar Touzi

Abstract

We consider an exchange who wishes to set suitable make-take fees to attract liquidity on its platform. Using a principal-agent approach, we are able to describe in quasi-explicit form the optimal contract to propose to a market maker. This contract depends essentially on the market maker inventory trajectory and on the volatility of the asset. We also provide the optimal quotes that should be displayed by the market maker. The simplicity of our formulas allows us to analyze in details the effects of optimal contracting with an exchange, compared to a situation without contract. We show in particular that it leads to higher quality liquidity and lower trading costs for investors.

Suggested Citation

  • Omar El Euch & Thibaut Mastrolia & Mathieu Rosenbaum & Nizar Touzi, 2018. "Optimal make-take fees for market making regulation," Papers 1805.02741, arXiv.org, revised Nov 2019.
  • Handle: RePEc:arx:papers:1805.02741
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    References listed on IDEAS

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    1. Charles-Albert Lehalle & Sophie Laruelle (ed.), 2013. "Market Microstructure in Practice," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 8967, August.
    2. Olivier Gu'eant & Charles-Albert Lehalle & Joaquin Fernandez Tapia, 2011. "Dealing with the Inventory Risk. A solution to the market making problem," Papers 1105.3115, arXiv.org, revised Aug 2012.
    3. repec:oup:rfinst:v:25:y::i:11:p:3389-3421 is not listed on IDEAS
    4. Jean-Edouard Colliard & Thierry Foucault, 2012. "Trading Fees and Efficiency in Limit Order Markets," Review of Financial Studies, Society for Financial Studies, vol. 25(11), pages 3389-3421.
    5. Thierry Foucault & Ohad Kadan & Eugene Kandel, 2013. "Liquidity Cycles and Make/Take Fees in Electronic Markets," Journal of Finance, American Finance Association, vol. 68(1), pages 299-341, February.
    6. Holmstrom, Bengt & Milgrom, Paul, 1987. "Aggregation and Linearity in the Provision of Intertemporal Incentives," Econometrica, Econometric Society, vol. 55(2), pages 303-328, March.
    7. Madhavan, Ananth & Richardson, Matthew & Roomans, Mark, 1997. "Why Do Security Prices Change? A Transaction-Level Analysis of NYSE Stocks," The Review of Financial Studies, Society for Financial Studies, vol. 10(4), pages 1035-1064.
    8. Jean-Edouard Colliard & Thierry Foucault, 2012. "Trading Fees and Efficiency in Limit Order Markets," The Review of Financial Studies, Society for Financial Studies, vol. 25(11), pages 3389-3421.
    9. Menkveld, Albert J., 2013. "High frequency trading and the new market makers," Journal of Financial Markets, Elsevier, vol. 16(4), pages 712-740.
    10. James J. Angel & Lawrence E. Harris & Chester S. Spatt, 2011. "Equity Trading in the 21stCentury," Quarterly Journal of Finance (QJF), World Scientific Publishing Co. Pte. Ltd., vol. 1(01), pages 1-53.
    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. Katya Malinova & Andreas Park, 2015. "Subsidizing Liquidity: The Impact of Make/Take Fees on Market Quality," Journal of Finance, American Finance Association, vol. 70(2), pages 509-536, April.
    13. Matthieu Wyart & Jean-Philippe Bouchaud & Julien Kockelkoren & Marc Potters & Michele Vettorazzo, 2008. "Relation between bid-ask spread, impact and volatility in order-driven markets," Quantitative Finance, Taylor & Francis Journals, vol. 8(1), pages 41-57.
    14. Yuliy Sannikov, 2008. "A Continuous-Time Version of the Principal-Agent Problem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(3), pages 957-984.
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    Cited by:

    1. Bellia, Mario & Pelizzon, Loriana & Subrahmanyam, Marti G. & Yuferova, Darya, 2020. "Designated Market Makers: Competition and Incentives," SAFE Working Paper Series 247, Leibniz Institute for Financial Research SAFE, revised 2020.

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