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Optimal trading with online parameters revisions

Author

Listed:
  • N Baradel

    (CEREMADE, CREST)

  • B Bouchard

    (CEREMADE)

  • Ngoc Minh Dang

Abstract

The aim of this paper is to explain how parameters adjustments can be integrated in the design or the control of automates of trading. Typically, we are interested by the online estimation of the market impacts generated by robots or single orders, and how they/the controller should react in an optimal way to the informations generated by the observation of the realized impacts. This can be formulated as an optimal impulse control problem with unknown parameters, on which a prior is given. We explain how a mix of the classical Bayesian updating rule and of optimal control techniques allows one to derive the dynamic programming equation satisfied by the corresponding value function, from which the optimal policy can be inferred. We provide an example of convergent finite difference scheme and consider typical examples of applications.

Suggested Citation

  • N Baradel & B Bouchard & Ngoc Minh Dang, 2016. "Optimal trading with online parameters revisions," Papers 1604.06342, arXiv.org.
    • Handle: RePEc:arx:papers:1604.06342
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    References listed on IDEAS

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    Cited by:

    1. Baradel, Nicolas, 2024. "Optimal control under uncertainty: Application to the issue of CAT bonds," Insurance: Mathematics and Economics, Elsevier, vol. 117(C), pages 16-44.
    2. Nicolas Baradel & Bruno Bouchard & David Evangelista & Othmane Mounjid, 2018. "Optimal inventory management and order book modeling," Working Papers hal-01710301, HAL.

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