STATIONARY DISTRIBUTION OF THE VOLUME AT THE BEST QUOTE IN A POISSON ORDER BOOK MODEL

Ioane Muni Toke ()
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Ioane Muni Toke: FiQuant - Chaire de finance quantitative - MICS - Mathématiques et Informatique pour la Complexité et les Systèmes - CentraleSupélec, MICS - Mathématiques et Informatique pour la Complexité et les Systèmes - CentraleSupélec

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Abstract: We develop a Markovian model that deals with the volume offered at the best quote of an electronic order book. The volume of the first limit is a stochastic process whose paths are periodically interrupted and reset to a new value, either by a new limit order submitted inside the spread or by a market order that removes the first limit. Using applied probability results on killing and resurrecting Markov processes, we derive the stationary distribution of the volume offered at the best quote. All proposed models are empirically fitted and compared, stressing the importance of the proposed mechanisms.

Keywords: aggressive limit orders; volume of the best quote; limit order book; aggressive market orders; killing and resurrecting Markov processes (search for similar items in EconPapers)
Date: 2017-09
New Economics Papers: this item is included in nep-mst
Note: View the original document on HAL open archive server: https://centralesupelec.hal.science/hal-01705085
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Published in International Journal of Theoretical and Applied Finance, 2017, 20 (06), pp.1750039. ⟨10.1142/S021902491750039X⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-01705085

DOI: 10.1142/S021902491750039X

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