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We empirically study the market impact of trading orders. We are specifically interested in large trading orders that are executed incrementally, which we call hidden orders. These are reconstructed based on information about market member…

Trading and Market Microstructure · Quantitative Finance 2015-05-13 Esteban Moro , Javier Vicente , Luis G. Moyano , Austin Gerig , J. Doyne Farmer , Gabriella Vaglica , Fabrizio Lillo , Rosario N. Mantegna

In recent years, high-frequency trading has emerged as a crucial strategy in stock trading. This study aims to develop an advanced high-frequency trading algorithm and compare the performance of three different mathematical models: the…

Trading and Market Microstructure · Quantitative Finance 2023-11-21 Jiahao Chen , Xiaofei Li

We present a reproducible research framework for market microstructure combining a deterministic C++ limit order book (LOB) simulator with stochastic order flow generated by multivariate marked Hawkes processes. The paper derives full…

Trading and Market Microstructure · Quantitative Finance 2025-10-10 Sohaib El Karmi

Empirical data reveals that the liquidity flow into the order book (depositions, cancellations andmarket orders) is influenced by past price changes. In particular, we show that liquidity tends todecrease with the amplitude of past…

Trading and Market Microstructure · Quantitative Finance 2020-06-24 Antoine Fosset , Jean-Philippe Bouchaud , Michael Benzaquen

Dynamic jumps in the price and volatility of an asset are modelled using a joint Hawkes process in conjunction with a bivariate jump diffusion. A state space representation is used to link observed returns, plus nonparametric measures of…

Applications · Statistics 2016-03-10 Worapree Maneesoonthorn , Catherine S. Forbes , Gael M. Martin

With the increasing integration of power plants into the frequency-regulation markets, the importance of optimal trading has grown substantially. This paper conducts an in-depth analysis of their optimal trading behavior in sequential…

Systems and Control · Electrical Eng. & Systems 2023-10-30 Saeed Nordin , Abolfazl Khodadadi , Priyanka Shinde , Evelin Blom , Mohammad Reza Hesamzadeh , Lennart Söder

Derivative hedging and pricing are important and continuously studied topics in financial markets. Recently, deep hedging has been proposed as a promising approach that uses deep learning to approximate the optimal hedging strategy and can…

Computational Finance · Quantitative Finance 2024-04-16 Masanori Hirano

Dealers in foreign exchange markets provide bid and ask prices to their clients at which they are happy to buy and sell, respectively. To manage risk, dealers can skew their quotes and hedge in the interbank market. Hedging offers certainty…

Trading and Market Microstructure · Quantitative Finance 2026-01-21 Alexander Barzykin

We analyze a tractable model of a limit order book on short time scales, where the dynamics are driven by stochastic fluctuations between supply and demand. We establish the existence of a limiting distribution for the highest bid, and for…

Trading and Market Microstructure · Quantitative Finance 2017-03-24 Frank Kelly , Elena Yudovina

In recent decades, companies have frequently adopted share repurchase programs to return capital to shareholders or for other strategic purposes, instructing investment banks to rapidly buy back shares on their behalf. When the executing…

Pricing of Securities · Quantitative Finance 2026-01-27 Stefano Corti , Roberto Daluiso , Andrea Pallavicini

In this paper we explore optimal liquidation in a market populated by a number of heterogeneous market makers that have limited inventory-carrying and risk-bearing capacity. We derive a reduced form model for the dynamic of their aggregated…

Trading and Market Microstructure · Quantitative Finance 2022-09-01 Marina Di Giacinto , Claudio Tebaldi , Tai-Ho Wang

Market making refers to a form of trading in financial markets characterized by passive orders which add liquidity to limit order books. Market makers are important for the proper functioning of financial markets worldwide. Given the…

Mathematical Finance · Quantitative Finance 2024-07-24 Timothy DeLise

We examine dynamic coupling and feedback effects between High Frequency Traders (HFTs) and how they can destabilize markets. We develop a general framework for modelling dynamic interaction based on recurrence relations, and use this to…

Trading and Market Microstructure · Quantitative Finance 2020-05-29 Christopher D. Clack , Elias Court , Dmitrijs Zaparanuks

This paper describes simulations and analysis of flash crash scenarios in an agent-based modelling framework. We design, implement, and assess a novel high-frequency agent-based financial market simulator that generates realistic…

Trading and Market Microstructure · Quantitative Finance 2024-04-23 Kang Gao , Perukrishnen Vytelingum , Stephen Weston , Wayne Luk , Ce Guo

We propose a macroscopic market making model \`a la Avellaneda-Stoikov, using continuous processes for orders instead of discrete point processes. The model intends to bridge the gap between market making and optimal execution problems,…

Mathematical Finance · Quantitative Finance 2025-04-08 Ivan Guo , Shijia Jin , Kihun Nam

We present a perturbation theory of the market impact based on an extension of the framework proposed by [Loeper, 2018] -- originally based on [Liu and Yong, 2005] -- in which we consider only local linear market impact. We study the…

Trading and Market Microstructure · Quantitative Finance 2019-11-05 Emilio Said

Thanks to the access to labeled orders on the Cac40 index future provided by Euronext, we are able to quantify market participants contributions to the volatility in the diffusive limit. To achieve this result we leverage the branching…

Trading and Market Microstructure · Quantitative Finance 2018-07-19 Marcello Rambaldi , Emmanuel Bacry , Jean-François Muzy

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

Recent years have seen an unprecedented rise of the role that technology plays in all aspects of human activities. Unavoidably, technology has heavily entered the Capital Markets trading space, to the extent that all major exchanges are now…

Statistical Finance · Quantitative Finance 2015-05-05 Lucio Maria Calcagnile , Giacomo Bormetti , Michele Treccani , Stefano Marmi , Fabrizio Lillo

Using microscopic price models based on Hawkes processes, it has been shown that under some no-arbitrage condition, the high degree of endogeneity of markets together with the phenomenon of metaorders splitting generate rough Heston-type…

Statistical Finance · Quantitative Finance 2021-01-20 Aditi Dandapani , Paul Jusselin , Mathieu Rosenbaum
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