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Modelling intensities of order flows in a limit order book

Ioane Muni Toke () and Nakahiro Yoshida
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Ioane Muni Toke: MICS - Mathématiques et Informatique pour la Complexité et les Systèmes - CentraleSupélec, ERIM - Equipe de Recherche en Informatique et Mathématiques - UNC - Université de la Nouvelle-Calédonie, CREST - Core Research for Evolutional Science and Technology - JST - Japan Science and Technology Agency
Nakahiro Yoshida: CREST - Core Research for Evolutional Science and Technology - JST - Japan Science and Technology Agency, Graduate School of Mathematical Sciences[Tokyo] - UTokyo - Tōkyō teikoku daigaku = University of Tokyo [Tokyo]

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Abstract: We propose a parametric model for the simulation of limit order books. We assume that limit orders, market orders and cancellations are submitted according to point processes with state-dependent intensities. We propose new functional forms for these intensities, as well as new models for the placement of limit orders and cancellations. For cancellations, we introduce the concept of " priority index " to describe the selection of orders to be cancelled in the order book. Parameters of the model are estimated using likelihood maximization. We illustrate the performance of the model by providing extensive simulation results, with a comparison to empirical data and a standard Poisson reference.

Keywords: order book; limit orders; market orders; cancellations; state-dependent point processes; intensity-based models (search for similar items in EconPapers)
Date: 2017-03-06
New Economics Papers: this item is included in nep-cmp and nep-mst
Note: View the original document on HAL open archive server: https://centralesupelec.hal.science/hal-01705080v1
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Citations: View citations in EconPapers (12)

Published in Quantitative Finance, 2017, 17 (5), pp.683 - 701. ⟨10.1080/14697688.2016.1236210⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-01705080

DOI: 10.1080/14697688.2016.1236210

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