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We study a new "laminated" queueing model for orders on batched trading venues such as decentralised exchanges. The model aims to capture and generalise transaction queueing infrastructure that has arisen to organise MEV activity on public…

Trading and Market Microstructure · Quantitative Finance 2024-01-17 Andrew W. Macpherson

We show that the cost of market orders and the profit of infinitesimal market-making or -taking strategies can be expressed in terms of directly observable quantities, namely the spread and the lag-dependent impact function. Imposing that…

Data Analysis, Statistics and Probability · Physics 2008-12-02 Matthieu Wyart , Jean-Philippe Bouchaud , Julien Kockelkoren , Marc Potters , Michele Vettorazzo

This paper examines replication portfolio construction in incomplete markets - a key problem in financial engineering with applications in pricing, hedging, balance sheet management, and energy storage planning. We model this as a…

Machine Learning · Statistics 2025-12-09 Matteo Maggiolo , Giuseppe Nuti , Miroslav Štrupl , Oleg Szehr

We study the optimal order placement strategy with the presence of a liquidity cost. In this problem, a stock trader wishes to clear her large inventory by a predetermined time horizon $T$. A trader uses both limit and market orders, and a…

Computational Finance · Quantitative Finance 2020-04-24 Hyoeun Lee , Kiseop Lee

We propose a price impact model where changes in prices are purely driven by the order flow in the market. The stochastic price impact of market orders and the arrival rates of limit and market orders are functions of the market liquidity…

Trading and Market Microstructure · Quantitative Finance 2024-12-18 Peter Bank , Álvaro Cartea , Laura Körber

The cryptocurrency market is volatile, non-stationary and non-continuous. Together with liquid derivatives markets, this poses a unique opportunity to study risk management, especially the hedging of options, in a turbulent market. We study…

Pricing of Securities · Quantitative Finance 2022-12-05 Jovanka Lili Matic , Natalie Packham , Wolfgang Karl Härdle

Univariate marked Hawkes processes are used to model a range of real-world phenomena including earthquake aftershock sequences, contagious disease spread, content diffusion on social media platforms, and order book dynamics. This paper…

Methodology · Statistics 2026-04-13 Louis Davis , Conor Kresin , Boris Baeumer , Ting Wang

In this research, we develop a trading strategy for the discrete-time optimal liquidation problem of large order trading with different market microstructures in an illiquid market. In this framework, the flow of orders can be viewed as a…

Trading and Market Microstructure · Quantitative Finance 2015-12-29 A. Sadoghi , J. Vecer

This research presents a comprehensive framework for analyzing liquidity in financial markets, particularly in the context of high-frequency trading. By leveraging advanced machine learning classification techniques, including Logistic…

Trading and Market Microstructure · Quantitative Finance 2024-08-20 Sid Bhatia , Sidharth Peri , Sam Friedman , Michelle Malen

In this paper we explore the usage of deep reinforcement learning algorithms to automatically generate consistently profitable, robust, uncorrelated trading signals in any general financial market. In order to do this, we present a novel…

Computational Finance · Quantitative Finance 2019-12-17 Souradeep Chakraborty

We develop a theory for the market impact of large trading orders, which we call metaorders because they are typically split into small pieces and executed incrementally. Market impact is empirically observed to be a concave function of…

Trading and Market Microstructure · Quantitative Finance 2013-09-30 J. Doyne Farmer , Austin Gerig , Fabrizio Lillo , Henri Waelbroeck

We consider a trading marketplace that is populated by traders with diverse trading strategies and objectives. The marketplace allows the suppliers to list their goods and facilitates matching between buyers and sellers. In return, such a…

Computer Science and Game Theory · Computer Science 2022-10-03 Kshama Dwarakanath , Svitlana S Vyetrenko , Tucker Balch

In dealer markets, dealers provide prices at which they agree to buy and sell the assets and securities they have in their scope. With ever increasing trading volume, this quoting task has to be done algorithmically in most markets such as…

Trading and Market Microstructure · Quantitative Finance 2022-12-13 Alexander Barzykin , Philippe Bergault , Olivier Guéant

In this work we introduce two variants of multivariate Hawkes models with an explicit dependency on various queue sizes aimed at modeling the stochastic time evolution of a limit order book. The models we propose thus integrate the…

Trading and Market Microstructure · Quantitative Finance 2019-01-28 Peng Wu , Marcello Rambaldi , Jean-François Muzy , Emmanuel Bacry

We present a simple order book mechanism that regulates an artificial financial market with self-organized criticality dynamics and fat tails of returns distribution. The model shows the role played by individual imitation in determining…

Trading and Market Microstructure · Quantitative Finance 2016-02-29 Alessio Emanuele Biondo , Alessandro Pluchino , Andrea Rapisarda

Quantitative trading is an integral part of financial markets with high calculation speed requirements, while no quantum algorithms have been introduced into this field yet. We propose quantum algorithms for high-frequency statistical…

Quantum Physics · Physics 2022-08-24 Xi-Ning Zhuang , Zhao-Yun Chen , Yu-Chun Wu , Guo-Ping Guo

We propose a microstructural model for the order flow in financial markets that distinguishes between {\it core orders} and {\it reaction flow}, both modeled as Hawkes processes. This model has a natural scaling limit that reconciles a…

Statistical Finance · Quantitative Finance 2026-02-03 Johannes Muhle-Karbe , Youssef Ouazzani Chahdi , Mathieu Rosenbaum , Grégoire Szymanski

Hawkes Processes are a type of point process which models self-excitement among time events. It has been used in a myriad of applications, ranging from finance and earthquakes to crime rates and social network activity analysis.Recently, a…

Machine Learning · Computer Science 2021-01-05 Rafael Lima

The rapid proliferation of distributed energy resources (DERs) and the electrification of residential loads offer significant potential for grid flexibility but pose stability challenges under static pricing regimes. Specifically, high…

Optimization and Control · Mathematics 2026-05-11 Xinyang Zhou , Jing Shang , Andrey Bernstein , Stefan Wager , Moody Saleh , Lara Pierpoint

We consider a sequential decision-making setting where, at every round $t$, a market maker posts a bid price $B_t$ and an ask price $A_t$ to an incoming trader (the taker) with a private valuation for one unit of some asset. If the trader's…

Computer Science and Game Theory · Computer Science 2025-06-18 Nicolò Cesa-Bianchi , Tommaso Cesari , Roberto Colomboni , Luigi Foscari , Vinayak Pathak
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