The Multivariate Kyle model: More is different

Luis Carlos Garc\'ia del Molino, Iacopo Mastromatteo, Michael Benzaquen and Jean-Philippe Bouchaud

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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. As an illustration, we determine the empirical cross impact matrix of US. Treasuries, and compare the results with recent alternative calibration methods.

Date: 2018-06, Revised 2018-12
New Economics Papers: this item is included in nep-mst
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