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Market by order (MBO) data - a detailed feed of individual trade instructions for a given stock on an exchange - is arguably one of the most granular sources of microstructure information. While limit order books (LOBs) are implicitly…

Trading and Market Microstructure · Quantitative Finance 2021-07-28 Zihao Zhang , Bryan Lim , Stefan Zohren

We study the optimal order placement strategy with the presence of a liquidity cost. In this problem, a stock trader wishes to clear her large inventory by a predetermined time horizon $T$. A trader uses both limit and market orders, and a…

Computational Finance · Quantitative Finance 2020-04-24 Hyoeun Lee , Kiseop Lee

In financial markets, liquidity is not constant over time but exhibits strong seasonal patterns. In this article we consider a limit order book model that allows for time-dependent, deterministic depth and resilience of the book and…

Trading and Market Microstructure · Quantitative Finance 2011-09-14 Antje Fruth , Torsten Schoeneborn , Mikhail Urusov

We exploit cutting-edge deep learning methodologies to explore the predictability of high-frequency Limit Order Book mid-price changes for a heterogeneous set of stocks traded on the NASDAQ exchange. In so doing, we release `LOBFrame', an…

Trading and Market Microstructure · Quantitative Finance 2024-06-05 Antonio Briola , Silvia Bartolucci , Tomaso Aste

Introducing an algebraic framework for modeling limit order books (LOBs) with tools from physics and stochastic processes, our proposed framework captures the creation and annihilation of orders, order matching, and the time evolution of…

Trading and Market Microstructure · Quantitative Finance 2024-06-10 Johannes Bleher , Michael Bleher

We present a reproducible research framework for market microstructure combining a deterministic C++ limit order book (LOB) simulator with stochastic order flow generated by multivariate marked Hawkes processes. The paper derives full…

Trading and Market Microstructure · Quantitative Finance 2025-10-10 Sohaib El Karmi

Market making (MM) is an important research topic in quantitative finance, the agent needs to continuously optimize ask and bid quotes to provide liquidity and make profits. The limit order book (LOB) contains information on all active…

Computational Finance · Quantitative Finance 2023-05-26 Hong Guo , Jianwu Lin , Fanlin Huang

The modeling of the limit order book is directly related to the assumptions on the behavior of real market participants. This paper is twofold. We first present empirical findings that lay the ground for two improvements to these models.The…

Trading and Market Microstructure · Quantitative Finance 2020-09-08 Mouhamad Drame

Financial market simulation (FMS) serves as a promising tool for understanding market anomalies and the underlying trading behaviors. To ensure high-fidelity simulations, it is crucial to calibrate the FMS model for generating data closely…

Computational Engineering, Finance, and Science · Computer Science 2025-06-17 Yuanzhe Li , Yue Wu , Muyao Zhong , Shengcai Liu , Peng Yang

In order-driven markets, limit-order book (LOB) resiliency is an important microscopic indicator of market quality when the order book is hit by a liquidity shock and plays an essential role in the design of optimal submission strategies of…

Trading and Market Microstructure · Quantitative Finance 2018-02-27 Hai-Chuan Xu , Wei Chen , Xiong Xiong , Wei Zhang , Wei-Xing Zhou , H Eugene Stanley

In the present paper, we study the optimal execution problem under stochastic price recovery based on limit order book dynamics. We model price recovery after execution of a large order by accelerating the arrival of the refilling order,…

Trading and Market Microstructure · Quantitative Finance 2015-02-17 Masashi Ieda

We propose a microscopic model to describe the dynamics of the fundamental events in the limit order book (LOB): order arrivals and cancellations. It is based on an operator algebra for individual orders and describes their effect on the…

Trading and Market Microstructure · Quantitative Finance 2021-05-06 Johannes Bleher , Michael Bleher , Thomas Dimpfl

We study the optimal Market Making problem in a Limit Order Book (LOB) market simulated using a high-fidelity, mutually exciting Hawkes process. Departing from traditional Brownian-driven mid-price models, our setup captures key…

Trading and Market Microstructure · Quantitative Finance 2025-11-03 Konark Jain , Nick Firoozye , Jonathan Kochems , Philip Treleaven

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

Through the analysis of a dataset of ultra high frequency order book updates, we introduce a model which accommodates the empirical properties of the full order book together with the stylized facts of lower frequency financial data. To do…

Trading and Market Microstructure · Quantitative Finance 2014-09-05 Weibing Huang , Charles-Albert Lehalle , Mathieu Rosenbaum

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

Hawkes Process has been used to model Limit Order Book (LOB) dynamics in several ways in the literature however the focus has been limited to capturing the inter-event times while the order size is usually assumed to be constant. We propose…

Trading and Market Microstructure · Quantitative Finance 2024-08-15 Konark Jain , Nick Firoozye , Jonathan Kochems , Philip Treleaven

This work's purpose is to understand the dynamics of limit order books in order-driven markets. We try to illustrate a dynamical trading mechanism attached to the microstructure of limit order markets. We capture the iterative nature of…

Trading and Market Microstructure · Quantitative Finance 2014-01-13 Shilei Wang

This paper focuses on an extension of the Limit Order Book (LOB) model with general shape introduced by Alfonsi, Fruth and Schied. Here, the additional feature allows a time-varying LOB depth. We solve the optimal execution problem in this…

Trading and Market Microstructure · Quantitative Finance 2012-04-16 Aurélien Alfonsi , José Infante Acevedo

The Limit Order Book (LOB), the mostly fundamental data of the financial market, provides a fine-grained view of market dynamics while poses significant challenges in dealing with the esteemed deep models due to its strong autocorrelation,…

Computational Engineering, Finance, and Science · Computer Science 2025-05-06 Muyao Zhong , Yushi Lin , Peng Yang