The role of volume in order book dynamics: a multivariate Hawkes process analysis

Abstract

We show that multivariate Hawkes processes coupled with the nonparametric estimation procedure first proposed in Bacry and Muzy (2015) can be successfully used to study complex interactions between the time of arrival of orders and their size, observed in a limit order book market. We apply this methodology to high-frequency order book data of futures traded at EUREX. Specifically, we demonstrate how this approach is amenable not only to analyze interplay between different order types (market orders, limit orders, cancellations) but also to include other relevant quantities, such as the order size, into the analysis, showing also that simple models assuming the independence between volume and time are not suitable to describe the data.

References in corpus (1)

• Modeling FX market activity around macroeconomic news: a Hawkes process approach

Cited by in corpus (6)

• Endogenous Liquidity Crises
• Hybrid marked point processes: characterisation, existence and uniqueness
• Neural Hawkes: Non-Parametric Estimation in High Dimension and Causality Analysis in Cryptocurrency Markets
• Marked point processes and intensity ratios for limit order book modeling
• Modeling aggressive market order placements with Hawkes factor models
• Multivariate Representations of Univariate Marked Hawkes Processes