From Glosten-Milgrom to the whole limit order book and applications to financial regulation

Fuente: arXiv
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Autori principali: Huang, Weibing, Pulido, Sergio, Rosenbaum, Mathieu, Saliba, Pamela, Sfendourakis, Emmanouil
Natura: Preprint
Pubblicazione: 2019
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author Huang, Weibing
Pulido, Sergio
Rosenbaum, Mathieu
Saliba, Pamela
Sfendourakis, Emmanouil
author_facet Huang, Weibing
Pulido, Sergio
Rosenbaum, Mathieu
Saliba, Pamela
Sfendourakis, Emmanouil
contents We build an agent-based model for the order book with three types of market participants: informed trader, noise trader and competitive market makers. Using a Glosten-Milgrom like approach, we are able to deduce the whole limit order book (bid-ask spread and volume available at each price) from the interactions between the different agents. More precisely, we obtain a link between efficient price dynamic, proportion of trades due to the noise trader, traded volume, bid-ask spread and equilibrium limit order book state. With this model, we provide a relevant tool for regulators and market platforms. We show for example that it allows us to forecast consequences of a tick size change on the microstructure of an asset. It also enables us to value quantitatively the queue position of a limit order in the book.
format Preprint
id arxiv_https___arxiv_org_abs_1902_10743
institution arXiv
publishDate 2019
record_format arxiv
spellingShingle From Glosten-Milgrom to the whole limit order book and applications to financial regulation
Huang, Weibing
Pulido, Sergio
Rosenbaum, Mathieu
Saliba, Pamela
Sfendourakis, Emmanouil
Trading and Market Microstructure
We build an agent-based model for the order book with three types of market participants: informed trader, noise trader and competitive market makers. Using a Glosten-Milgrom like approach, we are able to deduce the whole limit order book (bid-ask spread and volume available at each price) from the interactions between the different agents. More precisely, we obtain a link between efficient price dynamic, proportion of trades due to the noise trader, traded volume, bid-ask spread and equilibrium limit order book state. With this model, we provide a relevant tool for regulators and market platforms. We show for example that it allows us to forecast consequences of a tick size change on the microstructure of an asset. It also enables us to value quantitatively the queue position of a limit order in the book.
title From Glosten-Milgrom to the whole limit order book and applications to financial regulation
topic Trading and Market Microstructure
url https://arxiv.org/abs/1902.10743