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This paper introduces a jump-diffusion pricing model specifically designed for algorithmic trading and high-frequency trading (HFT). The model incorporates independent jump and diffusion processes, providing a more precise representation of…

Mathematical Finance · Quantitative Finance 2025-09-05 Luca Lalor , Anatoliy Swishchuk

This paper presents a limit order book (LOB) market mechanism design for transactive energy systems. The proposed design is planned for deployment in New Hampshire and Maine under a US Department of Energy Connected Communities project. The…

Systems and Control · Electrical Eng. & Systems 2023-05-22 Akshay Sreekumar , Adhithyan Sakthivelu , Rimvydas Baltaduonis , Lynne Kiesling , Seth Hoedl , David P. Chassin

This study investigates the development of an optimal execution strategy through reinforcement learning, aiming to determine the most effective approach for traders to buy and sell inventory within a finite time horizon. Our proposed model…

Trading and Market Microstructure · Quantitative Finance 2025-11-04 Yadh Hafsi , Edoardo Vittori

The Tick library allows researchers in market microstructure to simulate and learn Hawkes process in high-frequency data, with optimized parametric and non-parametric learners. But one challenge is to take into account the correct causality…

Machine Learning · Statistics 2021-01-19 Marcos Costa Santos Carreira

We propose an actionable calibration procedure for general Quadratic Hawkes models of order book events (market orders, limit orders, cancellations). One of the main features of such models is to encode not only the influence of past events…

Trading and Market Microstructure · Quantitative Finance 2020-05-13 Antoine Fosset , Jean-Philippe Bouchaud , Michael Benzaquen

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

In this paper we introduce two new Hawkes processes, namely, compound and regime-switching compound Hawkes processes, to model the price processes in limit order books. We prove Law of Large Numbers and Functional Central Limit Theorems…

Mathematical Finance · Quantitative Finance 2017-12-11 Anatoliy Swishchuk , Bruno Remillard , Robert Elliott , Jonathan Chavez-Casillas

This paper describes the design, implementation, and successful use of the Bristol Stock Exchange (BSE), a novel minimal simulation of a centralised financial market, based on a Limit Order Book (LOB) such as is common in major stock…

Computational Engineering, Finance, and Science · Computer Science 2018-09-18 Dave Cliff

We show that multivariate Hawkes processes coupled with the nonparametric estimation procedure first proposed in Bacry and Muzy (2015) can be successfully used to study complex interactions between the time of arrival of orders and their…

Trading and Market Microstructure · Quantitative Finance 2018-07-10 Marcello Rambaldi , Emmanuel Bacry , Fabrizio Lillo

Algorithmic trading relies on extracting meaningful signals from diverse financial data sources, including candlestick charts, order statistics on put and canceled orders, traded volume data, limit order books, and news flow. While deep…

Machine Learning · Computer Science 2025-04-22 Kasymkhan Khubiev , Mikhail Semenov

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

Modeling event dynamics is central to many disciplines. Patterns in observed event arrival times are commonly modeled using point processes. Such event arrival data often exhibits self-exciting, heterogeneous and sporadic trends, which is…

Applications · Statistics 2021-08-16 Jing Wu , Owen G. Ward , James Curley , Tian Zheng

A novel high-frequency market-making approach in discrete time is proposed that admits closed-form solutions. By taking advantage of demand functions that are linear in the quoted bid and ask spreads with random coefficients, we model the…

Trading and Market Microstructure · Quantitative Finance 2024-05-21 Jonathan Chávez-Casillas , José E. Figueroa-López , Chuyi Yu , Yi Zhang

In this paper we derive a scaling limit for an infinite dimensional limit order book model driven by Hawkes random measures. The dynamics of the incoming order flow is allowed to depend on the current market price as well as on a volume…

Mathematical Finance · Quantitative Finance 2018-08-09 Ulrich Horst , Wei Xu

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

In this article, we develop a modular framework for the application of Reinforcement Learning to the problem of Optimal Trade Execution. The framework is designed with flexibility in mind, in order to ease the implementation of different…

Computational Engineering, Finance, and Science · Computer Science 2022-08-15 Fernando de Meer Pardo , Christoph Auth , Florin Dascalu

We showcase how dropout variational inference can be applied to a large-scale deep learning model that predicts price movements from limit order books (LOBs), the canonical data source representing trading and pricing movements. We…

Computational Finance · Quantitative Finance 2019-03-26 Zihao Zhang , Stefan Zohren , Stephen Roberts

The neural Hawkes process (Mei & Eisner, 2017) is a generative model of irregularly spaced sequences of discrete events. To handle complex domains with many event types, Mei et al. (2020a) further consider a setting in which each event in…

Machine Learning · Computer Science 2022-05-09 Chenghao Yang , Hongyuan Mei , Jason Eisner

We present ABIDES-MARL, a framework that combines a new multi-agent reinforcement learning (MARL) methodology with a new realistic limit-order-book (LOB) simulation system to study equilibrium behavior in complex financial market games. The…

Trading and Market Microstructure · Quantitative Finance 2025-11-05 Patrick Cheridito , Jean-Loup Dupret , Zhexin Wu

In this paper, we introduce a novel reinforcement learning framework for optimal trade execution in a limit order book. We formulate the trade execution problem as a dynamic allocation task whose objective is the optimal placement of market…

Trading and Market Microstructure · Quantitative Finance 2026-01-28 Patrick Cheridito , Moritz Weiss