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The Multivariate Kyle model: More is different

Author

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  • Luis Carlos Garc'ia del Molino
  • Iacopo Mastromatteo
  • Michael Benzaquen
  • Jean-Philippe Bouchaud

Abstract

We reconsider the multivariate Kyle model in a risk-neutral setting with a single, perfectly informed rational insider and a rational competitive market maker, setting the price of n correlated securities. We prove the unicity of a symmetric, positive definite solution for the impact matrix and provide insights on its interpretation. We explore its implications from the perspective of empirical market microstructure, and argue that it provides a sensible inference procedure to cure some pathologies encountered in recent attempts to calibrate cross-impact matrices. As an illustration, we determine the empirical cross impact matrix of US. Treasuries, and compare the results with recent alternative calibration methods.

Suggested Citation

  • Luis Carlos Garc'ia del Molino & Iacopo Mastromatteo & Michael Benzaquen & Jean-Philippe Bouchaud, 2018. "The Multivariate Kyle model: More is different," Papers 1806.07791, arXiv.org, revised Dec 2018.
    • Handle: RePEc:arx:papers:1806.07791
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    References listed on IDEAS

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    Cited by:

    1. Mehdi Tomas & Iacopo Mastromatteo & Michael Benzaquen, 2020. "How to build a cross-impact model from first principles: Theoretical requirements and empirical results," Working Papers hal-02567489, HAL.
    2. Mehdi Tomas & Iacopo Mastromatteo & Michael Benzaquen, 2022. "How to build a cross-impact model from first principles: Theoretical requirements and empirical results," Post-Print hal-02567489, HAL.
    3. Mehdi Tomas & Iacopo Mastromatteo & Michael Benzaquen, 2020. "How to build a cross-impact model from first principles: Theoretical requirements and empirical results," Papers 2004.01624, arXiv.org, revised Mar 2022.

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