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Macroscopic Market Making

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  • Ivan Guo
  • Shijia Jin
  • Kihun Nam

Abstract

We propose the macroscopic market making model \`a la Avellaneda-Stoikov, using continuous processes for orders instead of discrete point processes. The model intends to bridge a gap between market making and optimal execution problems, while shedding light on the influence of order flows on the strategy. We demonstrate our model through three problems. The study provides a comprehensive analysis from Markovian to non-Markovian noises and from linear to non-linear intensity functions, encompassing both bounded and unbounded coefficients. Mathematically, the contribution lies in the existence and uniqueness of the optimal control, guaranteed by the well-posedness of the Hamilton-Jacobi-Bellman equation or the (non-)Lipschitz forward-backward stochastic differential equation.

Suggested Citation

  • Ivan Guo & Shijia Jin & Kihun Nam, 2023. "Macroscopic Market Making," Papers 2307.14129, arXiv.org, revised Jun 2024.
    • Handle: RePEc:arx:papers:2307.14129
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    References listed on IDEAS

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