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The Multivariate Kyle model: More is different

L. C. Garcia Del Molino, I. Mastromatteo, Michael Benzaquen () and J.-P. Bouchaud ()
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Michael Benzaquen: LadHyX - Laboratoire d'hydrodynamique - X - École polytechnique - IP Paris - Institut Polytechnique de Paris - CNRS - Centre National de la Recherche Scientifique

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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.

Date: 2020
New Economics Papers: this item is included in nep-mst
Note: View the original document on HAL open archive server: https://hal.science/hal-02323433
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Citations: View citations in EconPapers (8)

Published in SIAM Journal on Financial Mathematics, 2020

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