Correlation and Lead-Lag Relationships in a Hawkes Microstructure Model

38 Pages Posted: 8 Oct 2014 Last revised: 12 Mar 2016

See all articles by José Da Fonseca

José Da Fonseca

Auckland University of Technology - Faculty of Business & Law

Riadh Zaatour

Ecole Centrale Paris

Date Written: March 12, 2016

Abstract

The aim of this paper is to develop a multi-asset model based on the Hawkes process describing the evolution of assets at high frequency and to study the lead-lag relationship as well as the correlation between the stocks within this framework. Thanks to its strong analytical tractability several statistical quantities are explicitly computed and give some insight on the impact of the model parameters on these quantities. Furthermore, we compute the covariance matrix associated with the diffusive limit of the model so that the relation between the parameters driving the asset at high and low frequencies is explicit. We illustrate our results using index futures and stocks quoted in the Eurex market. The model can capture the existing lead-lag relationship between the assets.

Keywords: Hawkes process, Lead-Lag relationship, Correlation, Diffusive limit, High Frequency data

JEL Classification: C13, C32, C58

Suggested Citation

Da Fonseca, José and Zaatour, Riadh, Correlation and Lead-Lag Relationships in a Hawkes Microstructure Model (March 12, 2016). Available at SSRN: https://ssrn.com/abstract=2506845 or http://dx.doi.org/10.2139/ssrn.2506845

José Da Fonseca (Contact Author)

Auckland University of Technology - Faculty of Business & Law ( email )

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Riadh Zaatour

Ecole Centrale Paris ( email )

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Châtenay-Malabry
France

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