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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

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

High-speed computerized trading, often called "high-frequency trading" (HFT), has increased dramatically in financial markets over the last decade. In the US and Europe, it now accounts for nearly one-half of all trades. Although evidence…

Trading and Market Microstructure · Quantitative Finance 2012-11-09 Austin Gerig

\noindent We address the issue of market making on electronic markets when taking into account the clustering and long memory properties of market order flows. We consider a market model with one market maker and order flows driven by…

Trading and Market Microstructure · Quantitative Finance 2020-10-27 Paul Jusselin

We advance market-making strategies by integrating Adversarial Reinforcement Learning (ARL), Hawkes Processes, and variable volatility levels while also expanding the action space available to market makers (MMs). To enhance the…

Trading and Market Microstructure · Quantitative Finance 2025-08-26 Ziyi Wang , Carmine Ventre , Maria Polukarov

High-frequency trading (HFT) represents a pivotal and intensely competitive domain within the financial markets. The velocity and accuracy of data processing exert a direct influence on profitability, underscoring the significance of this…

Machine Learning · Computer Science 2024-12-03 Yuxin Fan , Zhuohuan Hu , Lei Fu , Yu Cheng , Liyang Wang , Yuxiang Wang

The interactions between a large population of high-frequency traders (HFTs) and a large trader (LT) who executes a certain amount of assets at discrete time points are studied. HFTs are faster in the sense that they trade continuously and…

Mathematical Finance · Quantitative Finance 2024-04-30 Xue Cheng , Meng Wang , Ziyi Xu

In this paper, we conduct a systematic large-scale analysis of order book-driven predictability in high-frequency returns by leveraging deep learning techniques. First, we introduce a new and robust representation of the order book, the…

Computational Finance · Quantitative Finance 2023-10-10 Lorenzo Lucchese , Mikko Pakkanen , Almut Veraart

This study explores the application of Hawkes processes to model high-frequency data in the context of limit order books. Two distinct Hawkes-based models are proposed and analyzed: one utilizing exponential kernels and the other employing…

Mathematical Finance · Quantitative Finance 2025-03-20 Neal Batra

The order flow in high-frequency financial markets has been of particular research interest in recent years, as it provides insights into trading and order execution strategies and leads to better understanding of the supply-demand…

Methodology · Statistics 2025-02-26 Alex Ziyu Jiang , Abel Rodriguez

In this work, we investigate the market-making problem on a trading session in which a continuous phase on a limit order book is followed by a closing auction. Whereas standard optimal market-making models typically rely on terminal…

Trading and Market Microstructure · Quantitative Finance 2026-01-27 Julius Graf , Thibaut Mastrolia

We present a novel approach to describing the microstructure of high frequency trading using two key elements. First we introduce a new notion of informed trader which we starkly contrast to current informed trader models. We describe the…

Trading and Market Microstructure · Quantitative Finance 2017-09-08 Rene Carmona , Kevin Webster

High frequency financial data is burdened by a level of randomness that is unavoidable and obfuscates the task of modelling. This idea is reflected in the intraday evolution of limit orders book data for many financial assets and suggests…

Trading and Market Microstructure · Quantitative Finance 2021-10-15 Myles Sjogren , Timothy DeLise

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

This paper studies optimal market making for large-tick assets in the presence of latency. We consider a random walk model for the asset price, and formulate the market maker's optimization problem using Markov Decision Processes (MDP). We…

Trading and Market Microstructure · Quantitative Finance 2020-03-18 Xuefeng Gao , Yunhan Wang

Maximizing revenue for grid-scale battery energy storage systems in continuous intraday electricity markets requires strategies that are able to seize trading opportunities as soon as new information arrives. This paper introduces and…

Trading and Market Microstructure · Quantitative Finance 2025-08-27 David Schaurecker , David Wozabal , Nils Löhndorf , Thorsten Staake

We introduce a Hawkes-like process and study its scaling limit as the system becomes increasingly endogenous. We derive functional limit theorems for intensity and fluctuations. Then, we introduce a high-frequency model for a price of a…

Probability · Mathematics 2018-07-12 Łukasz Treszczotko

We present a framework for hedging a portfolio of derivatives in the presence of market frictions such as transaction costs, market impact, liquidity constraints or risk limits using modern deep reinforcement machine learning methods. We…

Computational Finance · Quantitative Finance 2018-02-12 Hans Bühler , Lukas Gonon , Josef Teichmann , Ben Wood

We investigate a market with a normal-speed informed trader (IT) who may employ mixed strategy and multiple anticipatory high-frequency traders (HFTs) who are under different inventory pressures, in a three-period Kyle's model. The pure-…

Trading and Market Microstructure · Quantitative Finance 2024-03-14 Ziyi Xu , Xue Cheng

This paper explores the effectiveness of high-frequency options trading strategies enhanced by advanced portfolio optimization techniques, investigating their ability to consistently generate positive returns compared to traditional long or…

Trading and Market Microstructure · Quantitative Finance 2024-08-19 Sid Bhatia