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A Hawkes process model with a time-varying background rate is developed for analyzing the high-frequency financial data. In our model, the logarithm of the background rate is modeled by a linear model with a relatively large number of…

Statistical Finance · Quantitative Finance 2017-07-24 Takahiro Omi , Yoshito Hirata , Kazuyuki Aihara

This paper investigates optimal execution strategies in intraday energy markets through a mutually exciting Hawkes process model. Calibrated to data from the German intraday electricity market, the model effectively captures key empirical…

Trading and Market Microstructure · Quantitative Finance 2025-11-27 Konstantinos Chatziandreou , Sven Karbach

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

We study Nash equilibria for inventory-averse high-frequency traders (HFTs), who trade to exploit information about future price changes. For discrete trading rounds, the HFTs' optimal trading strategies and their equilibrium price impact…

Trading and Market Microstructure · Quantitative Finance 2019-06-06 Sebastian Herrmann , Johannes Muhle-Karbe , Dapeng Shang , Chen Yang

We propose a microstructural modeling framework for studying optimal market making policies in a FIFO (first in first out) limit order book (LOB). In this context, the limit orders, market orders, and cancel orders arrivals in the LOB are…

Trading and Market Microstructure · Quantitative Finance 2020-02-21 Frédéric Abergel , Côme Huré , Huyên Pham

In a fixed time horizon, appropriately executing a large amount of a particular asset -- meaning a considerable portion of the volume traded within this frame -- is challenging. Especially for illiquid or even highly liquid but also highly…

Mathematical Finance · Quantitative Finance 2023-08-15 David Evangelista , Yuri Thamsten

A simple Hawkes model have been developed for the price tick structure dynamics incorporating market microstructure noise and trade clustering. In this paper, the model is extended with random mark to deal with more realistic price tick…

Statistical Finance · Quantitative Finance 2019-07-30 Kyungsub Lee , Byoung Ki Seo

Portfolio management via reinforcement learning is at the forefront of fintech research, which explores how to optimally reallocate a fund into different financial assets over the long term by trial-and-error. Existing methods are…

Artificial Intelligence · Computer Science 2021-02-09 Rundong Wang , Hongxin Wei , Bo An , Zhouyan Feng , Jun Yao

This paper introduces a high frequency trade execution model to evaluate the economic impact of supervised machine learners. Extending the concept of a confusion matrix, we present a 'trade information matrix' to attribute the expected…

Trading and Market Microstructure · Quantitative Finance 2017-12-06 Matthew F Dixon

Deep hedging is a framework for hedging derivatives in the presence of market frictions. In this study, we focus on the problem of hedging a given target option by using multiple options. To extend the deep hedging framework to this…

Computational Finance · Quantitative Finance 2023-05-23 Masanori Hirano , Kentaro Imajo , Kentaro Minami , Takuya Shimada

Statistical analysis of high-frequency stock market order transaction data is conducted to understand order transition dynamics. We employ a first-order time-homogeneous discrete-time Markov chain model to the sequence of orders of stocks…

Statistical Finance · Quantitative Finance 2024-05-10 Salam Rabindrajit Luwang , Anish Rai , Md. Nurujjaman , Om Prakash , Chittaranjan Hens

Hedging exotic options in presence of market frictions is an important risk management task. Deep hedging can solve such hedging problems by training neural network policies in realistic simulated markets. Training these neural networks may…

Risk Management · Quantitative Finance 2024-10-31 Konrad Mueller , Amira Akkari , Lukas Gonon , Ben Wood

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

High-frequency trading requires fast data processing without information lags for precise stock price forecasting. This high-paced stock price forecasting is usually based on vectors that need to be treated as sequential and…

Machine Learning · Computer Science 2023-05-16 Adamantios Ntakaris , Moncef Gabbouj , Juho Kanniainen

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

This paper presents a method for forecasting limit order book durations using a self-exciting flexible residual point process. High-frequency events in modern exchanges exhibit heavy-tailed interarrival times, posing a significant challenge…

Statistical Finance · Quantitative Finance 2026-04-02 Kyungsub Lee

This study examines the use of a recurrent neural network for estimating the parameters of a Hawkes model based on high-frequency financial data, and subsequently, for computing volatility. Neural networks have shown promising results in…

Statistical Finance · Quantitative Finance 2023-04-25 Kyungsub Lee

Trade executions for major stocks come in bursts of activity, which can be partly attributed to the presence of self- and mutual excitations endogenous to the system. In this paper, we study transaction reports for five FTSE 100 stocks. We…

Computational Engineering, Finance, and Science · Computer Science 2022-07-29 Isobel Seabrook , Paolo Barucca , Fabio Caccioli

We apply Reinforcement Learning algorithms to solve the classic quantitative finance Market Making problem, in which an agent provides liquidity to the market by placing buy and sell orders while maximizing a utility function. The optimal…

Machine Learning · Computer Science 2021-04-12 Matias Selser , Javier Kreiner , Manuel Maurette

We introduce an event based framework of directional changes and overshoots to map continuous financial data into the so-called Intrinsic Network - a state based discretisation of intrinsically dissected time series. Defining a method for…

Trading and Market Microstructure · Quantitative Finance 2014-02-11 Anton Golub , Gregor Chliamovitch , Alexandre Dupuis , Bastien Chopard