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Related papers: Algorithmic trading in a microstructural limit ord…

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A micro-scale model is proposed for the evolution of the limit order book. Within this model, the flows of orders (claims) are described by doubly stochastic Poisson processes taking account of the stochastic character of intensities of bid…

Probability · Mathematics 2014-12-09 V. Yu. Korolev , A. V. Chertok , A. Yu. Korchagin , A. I. Zeifman

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

Latency (i.e., time delay) in electronic markets affects the efficacy of liquidity taking strategies. During the time liquidity takers process information and send marketable limit orders (MLOs) to the exchange, the limit order book (LOB)…

Trading and Market Microstructure · Quantitative Finance 2019-08-12 Álvaro Cartea , Sebastian Jaimungal , Leandro Sánchez-Betancourt

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

To execute a trade, participants in electronic equity markets may choose to submit limit orders or market orders across various exchanges where a stock is traded. This decision is influenced by the characteristics of the order flow and…

Trading and Market Microstructure · Quantitative Finance 2014-11-25 Rama Cont , Arseniy Kukanov

Motivated by the practical challenge in monitoring the performance of a large number of algorithmic trading orders, this paper provides a methodology that leads to automatic discovery of the causes that lie behind a poor trading…

Trading and Market Microstructure · Quantitative Finance 2013-03-04 Robert Azencott , Arjun Beri , Yutheeka Gadhyan , Nicolas Joseph , Charles-Albert Lehalle , Matthew Rowley

This paper focuses on some simple models of limit order book dynamics which simulate market trading mechanisms. We start with a discrete time/space Markov process and then perform a re-scaling procedure leading to a deterministic dynamical…

Probability · Mathematics 2011-02-08 N Vvedenskaya , Y Suhov , V Belitsky

We study the problem of optimal trading using general alpha predictors with linear costs and temporary impact. We do this within the framework of stochastic optimization with finite horizon using both limit and market orders. Consistently…

Trading and Market Microstructure · Quantitative Finance 2015-01-19 Filippo Passerini , Samuel E. Vazquez

Order book imbalance (OBI) - buy orders minus sell orders near the best quote - measures supply-demand imbalance that can move prices. OBI is positively correlated with returns, and some investors try to use it to improve performance. Large…

Computational Finance · Quantitative Finance 2025-09-23 Shuto Endo , Takanobu Mizuta , Isao Yagi

In this paper we propose a dynamic model of Limit Order Book (LOB). The main feature of our model is that the shape of the LOB is determined endogenously by an expected utility function via a competitive equilibrium argument. Assuming zero…

Optimization and Control · Mathematics 2014-01-23 Jin Ma , Xinyang Wang , Jianfeng Zhang

In the present work we introduce a novel multi-agent model with the aim to reproduce the dynamics of a double auction market at microscopic time scale through a faithful simulation of the matching mechanics in the limit order book. The…

Trading and Market Microstructure · Quantitative Finance 2015-05-18 Marco Bartolozzi

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

A great deal of academic and theoretical work has been dedicated to optimal liquidation of large orders these last twenty years. The optimal split of an order through time (`optimal trade scheduling') and space (`smart order routing') is of…

Trading and Market Microstructure · Quantitative Finance 2013-02-20 Charles-Albert Lehalle

Limit order books (LOBs) match buyers and sellers in more than half of the world's financial markets. This survey highlights the insights that have emerged from the wealth of empirical and theoretical studies of LOBs. We examine the…

Trading and Market Microstructure · Quantitative Finance 2015-03-17 Martin D. Gould , Mason A. Porter , Stacy Williams , Mark McDonald , Daniel J. Fenn , Sam D. Howison

We consider a periodic-review, fixed-lifetime perishable inventory control problem where demand is a general stochastic process. The optimal solution for this problem is intractable due to "curse of dimensionality". In this paper, we first…

Optimization and Control · Mathematics 2016-05-10 Can Zhang , Turgay Ayer , Chelsea C. White

Market makers provide liquidity to other market participants: they propose prices at which they stand ready to buy and sell a wide variety of assets. They face a complex optimization problem with both static and dynamic components. They…

Trading and Market Microstructure · Quantitative Finance 2017-05-09 Olivier Guéant

Modern financial exchanges use an electronic limit order book (LOB) to store bid and ask orders for a specific financial asset. As the most fine-grained information depicting the demand and supply of an asset, LOB data is essential in…

Trading and Market Microstructure · Quantitative Finance 2023-03-02 Zijian Shi , John Cartlidge

In this paper, we employ the Heston stochastic volatility model to describe the stock's volatility and apply the model to derive and analyze the optimal trading strategies for dealers in a security market. We also extend our study to option…

Trading and Market Microstructure · Quantitative Finance 2016-02-02 Wai-Ki Ching , Jia-Wen Gu , Tak-Kuen Siu , Qing-Qing Yang

Motivated by a zero-intelligence approach, the aim of this paper is to connect the microscopic (discrete price and volume), mesoscopic (discrete price and continuous volume) and macroscopic (continuous price and volume) frameworks for the…

Mathematical Finance · Quantitative Finance 2019-06-27 Ben Hambly , Jasdeep Kalsi , James Newbury

We propose a framework to study the optimal liquidation strategy in a limit order book for large-tick stocks, with spread equal to one tick. All order book events (market orders, limit orders and cancellations) occur according to…

Trading and Market Microstructure · Quantitative Finance 2017-11-16 Antoine Jacquier , Hao Liu