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A simple microstructure model based on the Cox-BESQ process with application to optimal execution policy

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  • Da Fonseca, José
  • Malevergne, Yannick

Abstract

We develop a microstructure model whose order flow is driven by a Cox-BESQ process. We derive important analytical properties of the Cox-BESQ process in order to explicit the stock price dynamics at different time scales, provide different parameter estimators and solve the optimal execution problem. We implement the model using a large data set of stock index and bond futures. Our results show that the Cox-BESQ process provides an alternative framework to the Hawkes process to build a microstructure model that is very flexible and has an explicit solution.

Suggested Citation

  • Da Fonseca, José & Malevergne, Yannick, 2021. "A simple microstructure model based on the Cox-BESQ process with application to optimal execution policy," Journal of Economic Dynamics and Control, Elsevier, vol. 128(C).
    • Handle: RePEc:eee:dyncon:v:128:y:2021:i:c:s0165188921000725
    DOI: 10.1016/j.jedc.2021.104137
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    Cited by:

    1. Lee Kyungsub, 2024. "Multi-kernel property in high-frequency price dynamics under Hawkes model," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 28(4), pages 605-624.
    2. Kyungsub Lee, 2022. "Application of Hawkes volatility in the observation of filtered high-frequency price process in tick structures," Papers 2207.05939, arXiv.org, revised Sep 2024.
    3. Kyungsub Lee, 2023. "Multi-kernel property in high-frequency price dynamics under Hawkes model," Papers 2302.11822, arXiv.org.

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    More about this item

    Keywords

    Microstructure model; Stochastic intensity model; Cox-BESQ process; Optimal execution;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics

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