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Managing high-frequency data in a limit order book (LOB) is a complex task that often exceeds the capabilities of conventional time-series forecasting models. Accurately predicting the entire multi-level LOB, beyond just the mid-price, is…

Computational Finance · Quantitative Finance 2024-11-05 Jiwon Jung , Kiseop Lee

We model the behavior of three agent classes acting dynamically in a limit order book of a financial asset. Namely, we consider market makers (MM), high-frequency trading (HFT) firms, and institutional brokers (IB). Given a prior dynamic of…

Trading and Market Microstructure · Quantitative Finance 2018-11-12 Nicolas Baradel , Bruno Bouchard , David Evangelista , Othmane Mounjid

Forecasting the movements of stock prices is one the most challenging problems in financial markets analysis. In this paper, we use Machine Learning (ML) algorithms for the prediction of future price movements using limit order book data.…

Computational Engineering, Finance, and Science · Computer Science 2019-04-09 Paraskevi Nousi , Avraam Tsantekidis , Nikolaos Passalis , Adamantios Ntakaris , Juho Kanniainen , Anastasios Tefas , Moncef Gabbouj , Alexandros Iosifidis

We study a an optimal high frequency trading problem within a market microstructure model designed to be a good compromise between accuracy and tractability. The stock price is driven by a Markov Renewal Process (MRP), while market orders…

Trading and Market Microstructure · Quantitative Finance 2015-01-06 Pietro Fodra , Huyên Pham

In financial markets, the order flow, defined as the process assuming value one for buy market orders and minus one for sell market orders, displays a very slowly decaying autocorrelation function. Since orders impact prices, reconciling…

Statistical Finance · Quantitative Finance 2015-06-19 Damian Eduardo Taranto , Giacomo Bormetti , Fabrizio Lillo

We have analyzed the statistical probabilities of limit-order book (LOB) shape through building the book using the ultra-high-frequency data from 23 liquid stocks traded on the Shenzhen Stock Exchange in 2003. We find that the averaged LOB…

Trading and Market Microstructure · Quantitative Finance 2008-12-02 Gao-Feng Gu , Wei Chen , Wei-Xing Zhou

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

In this paper we study a continuous time equilibrium model of limit order book (LOB) in which the liquidity dynamics follows a non-local, reflected mean-field stochastic differential equation (SDE) with evolving intensity. Generalizing the…

Optimization and Control · Mathematics 2020-03-03 Jin Ma , Eunjung Noh

We introduce a model for limit order book of a certain security with two main features: First, both the limit orders and market orders for the given asset are allowed to appear and interact with each other. Second, the high frequency…

Pricing of Securities · Quantitative Finance 2024-12-24 Yun Chen-Shue , Yukun Li , Jiongmin Yong

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 an optimal execution strategy for purchasing a large block of shares over a fixed time horizon. The execution problem is subject to a general price impact that gradually dissipates due to market resilience. We allow for general…

Mathematical Finance · Quantitative Finance 2026-04-14 Etienne Chevalier , Yadh Hafsi , Vathana Ly Vath , Sergio Pulido

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

Starting from the Avellaneda-Stoikov framework, we consider a market maker who wants to optimally set bid/ask quotes over a finite time horizon, to maximize her expected utility. The intensities of the orders she receives depend not only on…

Trading and Market Microstructure · Quantitative Finance 2020-06-29 Diego Zabaljauregui , Luciano Campi

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

We consider optimal execution strategies for block market orders placed in a limit order book (LOB). We build on the resilience model proposed by Obizhaeva and Wang (2005) but allow for a general shape of the LOB defined via a given density…

Trading and Market Microstructure · Quantitative Finance 2010-02-03 Aurélien Alfonsi , Antje Fruth , Alexander Schied

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

We derive a continuous time model for the joint evolution of the mid price and the bid-ask spread from a multiscale analysis of the whole limit order book (LOB) dynamics. We model the LOB as a multiclass queueing system and perform our…

Trading and Market Microstructure · Quantitative Finance 2013-10-07 Jose Blanchet , Xinyun Chen

We propose a framework to study optimal trading policies in a one-tick pro-rata limit order book, as typically arises in short-term interest rate futures contracts. The high-frequency trader has the choice to trade via market orders or…

Trading and Market Microstructure · Quantitative Finance 2012-05-15 Fabien Guilbaud , Huyên Pham

We develop a large-scale deep learning model to predict price movements from limit order book (LOB) data of cash equities. The architecture utilises convolutional filters to capture the spatial structure of the limit order books as well as…

Computational Finance · Quantitative Finance 2020-01-24 Zihao Zhang , Stefan Zohren , Stephen Roberts

This paper considers a Markovian model of a limit order book where time-dependent rates are allowed. With the objective of understanding the mechanisms through which a microscopic model of an orderbook can converge to more general diffusion…

Computational Finance · Quantitative Finance 2023-02-03 Jonathan A. Chávez-Casillas