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We introduce a new model in order to describe the fluctuation of tick-by-tick financial time series. Our model, based on marked point process, allows us to incorporate in a unique process the duration of the transaction and the…

Trading and Market Microstructure · Quantitative Finance 2012-11-21 Alexis Fauth , Ciprian A. Tudor

We develop a new market-making model, from the ground up, which is tailored towards high-frequency trading under a limit order book (LOB), based on the well-known classification of order types in market microstructure. Our flexible…

Trading and Market Microstructure · Quantitative Finance 2020-01-31 Baron Law , Frederi Viens

It is a challenging task to identify the best possible models based on given empirical data of observed time series. Though the financial markets provide us with a vast amount of empirical data, the best model selection is still a big…

Statistical Finance · Quantitative Finance 2021-11-05 Vygintas Gontis

We propose a microstructural model for the order flow in financial markets that distinguishes between {\it core orders} and {\it reaction flow}, both modeled as Hawkes processes. This model has a natural scaling limit that reconciles a…

Statistical Finance · Quantitative Finance 2026-02-03 Johannes Muhle-Karbe , Youssef Ouazzani Chahdi , Mathieu Rosenbaum , Grégoire Szymanski

We study the price impact of order book events - limit orders, market orders and cancelations - using the NYSE TAQ data for 50 U.S. stocks. We show that, over short time intervals, price changes are mainly driven by the order flow…

Trading and Market Microstructure · Quantitative Finance 2015-03-17 Rama Cont , Arseniy Kukanov , Sasha Stoikov

In this research, we have empirically investigated the key drivers affecting liquidity in equity markets. We illustrated how theoretical models, such as Kyle's model, of agents' interplay in the financial markets, are aligned with the…

Computational Finance · Quantitative Finance 2020-04-28 Anastasia Bugaenko

We introduce a Cox-type model for relative intensities of orders flows in a limit order book. The model assumes that all intensities share a common baseline intensity, which may for example represent the global market activity. Parameters…

Statistical Finance · Quantitative Finance 2019-08-23 Ioane Muni Toke , Nakahiro Yoshida

We propose a new model for the level I of a Limit Order Book (LOB), which incorporates the information about the standing orders at the opposite side of the book after each price change and the arrivals of new orders within the spread. Our…

Trading and Market Microstructure · Quantitative Finance 2016-03-15 Jonathan A. Chávez-Casillas , José E. Figueroa-López

We propose a modeling framework for the dynamics of a reduced form order book in event time and based on event sizes. Our framework for the order book is influenced by [9], but compared to [9] we allow the best bid ask spread to be larger…

Probability · Mathematics 2014-02-21 Kaj Nyström , Sidi Mohamed Ould Aly

Order book imbalance (OBI) - buy orders minus sell orders near the best quote - measures supply-demand imbalance that can move prices. OBI is positively correlated with returns, and some investors try to use it to improve performance. Large…

Computational Finance · Quantitative Finance 2025-09-23 Shuto Endo , Takanobu Mizuta , Isao Yagi

In the present work we introduce a novel multi-agent model with the aim to reproduce the dynamics of a double auction market at microscopic time scale through a faithful simulation of the matching mechanics in the limit order book. The…

Trading and Market Microstructure · Quantitative Finance 2015-05-18 Marco Bartolozzi

We analyze a tractable model of a limit order book on short time scales, where the dynamics are driven by stochastic fluctuations between supply and demand. We establish the existence of a limiting distribution for the highest bid, and for…

Trading and Market Microstructure · Quantitative Finance 2017-03-24 Frank Kelly , Elena Yudovina

We present a general framework for modelling the dynamics of limit order books, built on the combination of two modelling ingredients: the order flow, modelled as a general spatial point process, and market clearing, modelled via a…

Mathematical Finance · Quantitative Finance 2023-02-03 Rama Cont , Pierre Degond , Lifan Xuan

One popular approach to model the limit order books dynamics of the best bid and ask at level-1 is to use the reduced-form diffusion approximations. It is well known that the biggest contributing factor to the price movement is the…

Trading and Market Microstructure · Quantitative Finance 2016-12-13 Tzu-Wei Yang , Lingjiong Zhu

We propose a unified mean-field framework that bridges the dynamics of informal financial markets and formal markets governed by Limit Order Books (LOBs). Both settings are modeled as interacting particle systems on a 1D price lattice, with…

Statistical Mechanics · Physics 2025-12-05 Alvaro Navarro-Rubio , Alejandro Lage-Castellanos

We study the dynamics of order flows around large intraday price changes using ultra-high-frequency data from the Shenzhen Stock Exchange. We find a significant reversal of price for both intraday price decreases and increases with a…

Trading and Market Microstructure · Quantitative Finance 2010-08-03 Guo-Hua Mu , Wei-Xing Zhou , Wei Chen , Janos Kertesz

Volume imbalance in a limit order book is often considered as a reliable indicator for predicting future price moves. In this work, we seek to analyse the nuances of the relationship between prices and volume imbalance. To this end, we…

Trading and Market Microstructure · Quantitative Finance 2024-07-24 Sergio Pulido , Mathieu Rosenbaum , Emmanouil Sfendourakis

We develop a behavioral model for liquidity and volatility based on empirical regularities in trading order flow in the London Stock Exchange. This can be viewed as a very simple agent based model in which all components of the model are…

Statistical Finance · Quantitative Finance 2008-12-02 Szabolcs Mike , J. Doyne Farmer

The time proximity of high-frequency trades can contain a salient signal. In this paper, we propose a method to classify every trade, based on its proximity with other trades in the market within a short period of time, into five types. By…

Trading and Market Microstructure · Quantitative Finance 2024-03-15 Yutong Lu , Gesine Reinert , Mihai Cucuringu

This paper studies the fill probabilities of limit orders placed at different price levels in a limit order book. These probabilities play a central role in execution optimization, as limit orders are not guaranteed to be executed and…

Trading and Market Microstructure · Quantitative Finance 2026-02-09 Felix Lokin , Fenghui Yu