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The available liquidity at any time in financial markets falls largely short of the typical size of the orders that institutional investors would trade. In order to reduce the impact on prices due to the execution of large orders, traders…

Trading and Market Microstructure · Quantitative Finance 2024-05-22 Louis Saddier , Matteo Marsili

This paper deals with a fundamental subject that has seldom been addressed in recent years, that of market impact in the options market. Our analysis is based on a proprietary database of metaorders-large orders that are split into smaller…

Trading and Market Microstructure · Quantitative Finance 2022-05-17 Emilio Said , Ahmed Bel Hadj Ayed , Damien Thillou , Jean-Jacques Rabeyrin , Frédéric Abergel

We propose a theory of the market impact of metaorders based on a coarse-grained approach where the microscopic details of supply and demand is replaced by a single parameter $\rho \in [0,+\infty]$ shaping the supply-demand equilibrium and…

Trading and Market Microstructure · Quantitative Finance 2022-05-17 Emilio Said

Understanding the impact of trades on prices is a crucial question for both academic research and industry practice. It is well established that impact follows a square-root impact as a function of traded volume. However, the microscopic…

Trading and Market Microstructure · Quantitative Finance 2025-08-05 Guillaume Maitrier , Grégoire Loeper , Kiyoshi Kanazawa , Jean-Philippe Bouchaud

In this work, we aim to reconcile several apparently contradictory observations in market microstructure: is the famous "square-root law" of metaorder impact, which decays with time, compatible with the random-walk nature of prices and the…

Trading and Market Microstructure · Quantitative Finance 2026-03-05 Guillaume Maitrier , Jean-Philippe Bouchaud

Many independent studies on stocks and futures contracts have established that market impact is proportional to the square-root of the executed volume. Is market impact quantitatively similar for option markets as well? In order to answer…

Trading and Market Microstructure · Quantitative Finance 2016-02-10 Bence Toth , Zoltan Eisler , Jean-Philippe Bouchaud

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

This paper is devoted to the important yet little explored subject of the market impact of limit orders. Our analysis is based on a proprietary database of metaorders - large orders that are split into smaller pieces before being sent to…

Trading and Market Microstructure · Quantitative Finance 2022-05-17 Emilio Said , Ahmed Bel Hadj Ayed , Alexandre Husson , Frédéric Abergel

In a financial exchange, market impact is a measure of the price change of an asset following a transaction. This is an important element of market microstructure, which determines the behaviour of the market following a trade. In this…

Trading and Market Microstructure · Quantitative Finance 2023-05-15 Christopher J. Cho , Timothy J. Norman , Manuel Nunes

In this paper, we use a database of around 400,000 metaorders issued by investors and electronically traded on European markets in 2010 in order to study market impact at different scales. At the intraday scale we confirm a square root…

Trading and Market Microstructure · Quantitative Finance 2014-12-09 Emmanuel Bacry , Adrian Iuga , Matthieu Lasnier , Charles-Albert Lehalle

This paper is devoted to the important yet unexplored subject of crowding effects on market impact, that we call "co-impact". Our analysis is based on a large database of metaorders by institutional investors in the U.S. equity market. We…

Trading and Market Microstructure · Quantitative Finance 2018-07-10 Frédéric Bucci , Iacopo Mastromatteo , Zoltán Eisler , Fabrizio Lillo , Jean-Philippe Bouchaud , Charles-Albert Lehalle

This work extends and complements our previous theoretical paper on the subtle interplay between impact, order flow and volatility. In the present paper, we generate synthetic market data following the specification of that paper and show…

Trading and Market Microstructure · Quantitative Finance 2025-09-08 Guillaume Maitrier , Grégoire Loeper , Jean-Philippe Bouchaud

We make an extensive empirical study of the market impact of large orders (metaorders) executed in the U.S. equity market between 2007 and 2009. We show that the square root market impact formula, which is widely used in the industry and…

Trading and Market Microstructure · Quantitative Finance 2014-12-09 Elia Zarinelli , Michele Treccani , J. Doyne Farmer , Fabrizio Lillo

In this paper, we assume that the permanent market impact of metaorders is linear and that the price is a martingale. Those two hypotheses enable us to derive the evolution of the price from the dynamics of the flow of market orders. For…

Trading and Market Microstructure · Quantitative Finance 2014-02-07 Thibault Jaisson

The goal of this paper is to disentangle the roles of volume and of participation rate in the price response of the market to a sequence of transactions. To do so, we are inspired the methodology introduced in arXiv:1402.1288,…

Mathematical Finance · Quantitative Finance 2023-12-01 Bruno Durin , Mathieu Rosenbaum , Grégoire Szymanski

This paper introduces a novel algorithm for generating realistic metaorders from public trade data, addressing a longstanding challenge in price impact research that has traditionally relied on proprietary datasets. Our method effectively…

Trading and Market Microstructure · Quantitative Finance 2025-04-08 Guillaume Maitrier , Grégoire Loeper , Jean-Philippe Bouchaud

Using a large database of 8 million institutional trades executed in the U.S. equity market, we establish a clear crossover between a linear market impact regime and a square-root regime as a function of the volume of the order. Our…

Trading and Market Microstructure · Quantitative Finance 2019-03-27 Frédéric Bucci , Michael Benzaquen , Fabrizio Lillo , Jean-Philippe Bouchaud

Estimating market impact and transaction costs of large trades (metaorders) is a very important topic in finance. However, using models of price and trade based on public market data provide average price trajectories which are…

Trading and Market Microstructure · Quantitative Finance 2025-12-04 Manuel Naviglio , Giacomo Bormetti , Francesco Campigli , German Rodikov , Fabrizio Lillo

The notion of market impact is subtle and sometimes misinterpreted. Here we argue that impact should not be misconstrued as volatility. In particular, the so-called ``square-root impact law'', which states that impact grows as the…

Trading and Market Microstructure · Quantitative Finance 2019-05-14 Frédéric Bucci , Iacopo Mastromatteo , Michael Benzaquen , Jean-Philippe Bouchaud

This note complements the inspiring work on dimensional analysis and market microstructure by Kyle and Obizhaeva [18]. Following closely these authors, our main result shows by a similar argument as usually applied in physics the following…

Trading and Market Microstructure · Quantitative Finance 2017-09-28 Mathias Pohl , Alexander Ristig , Walter Schachermayer , Ludovic Tangpi
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