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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

Financial markets populated by human traders often exhibit "market impact", where the traders' quote-prices move in the direction of anticipated change, before any transaction has taken place, as an immediate reaction to the arrival of a…

Trading and Market Microstructure · Quantitative Finance 2020-12-24 Zhen Zhang , Dave Cliff

The impact of trades on asset prices is a crucial aspect of market dynamics for academics, regulators and practitioners alike. Recently, universal and highly nonlinear master curves were observed for price impacts aggregated on all…

Trading and Market Microstructure · Quantitative Finance 2018-01-17 Felix Patzelt , Jean-Philippe Bouchaud

We study the optimal liquidation problem in a market model where the bid price follows a geometric pure jump process whose local characteristics are driven by an unobservable finite-state Markov chain and by the liquidation rate. This model…

Mathematical Finance · Quantitative Finance 2019-06-27 Katia Colaneri , Zehra Eksi , Rüdiger Frey , Michaela Szölgyenyi

In this paper we demonstrate a striking regularity in the way people place limit orders in financial markets, using a data set consisting of roughly seven million orders from the London Stock Exchange. We define the relative limit price as…

Condensed Matter · Physics 2007-05-23 Ilija I. Zovko , J. Doyne Farmer

Involving effects of media, opinion leader and other agents on the opinion of individuals of market society, a trader based model is developed and utilized to simulate price via supply and demand. Pronounced effects are considered with…

Physics and Society · Physics 2009-11-11 Caglar Tuncay

A market with asymmetric information can be viewed as a repeated exchange game between the informed sector and the uninformed one. In a market with risk-neutral agents, De Meyer [2010] proves that the price process should be a particular…

Optimization and Control · Mathematics 2017-01-13 Bernard De Meyer , Gaëtan Fournier

Traders constantly consider the price impact associated with changing their positions. This paper seeks to understand how price impact emerges from the quoting strategies of market makers. To this end, market making is modeled as a dynamic…

Mathematical Finance · Quantitative Finance 2021-01-06 Angad Singh

Most modern financial markets use a continuous double auction mechanism to store and match orders and facilitate trading. In this paper we develop a microscopic dynamical statistical model for the continuous double auction under the…

Statistical Mechanics · Physics 2009-11-07 Eric Smith , J. Doyne Farmer , Laszlo Gillemot , Supriya Krishnamurthy

We empirically study the trading activity in the electronic on-book segment and in the dealership off-book segment of the London Stock Exchange, investigating separately the trading of active market members and of other market participants…

Trading and Market Microstructure · Quantitative Finance 2015-03-18 Angelo Carollo , Gabriella Vaglica , Fabrizio Lillo , Rosario N. Mantegna

The finding of small price changes in many retail price datasets is often viewed as a puzzle. We show that a possible explanation for the presence of small price changes is related to sales volume, an observation that has been overlooked in…

General Economics · Economics 2024-03-13 Doron Sayag , Avichai Snir , Daniel Levy

We test the predictions of the sticky information model using a survey dataset by comparing shoppers accuracy in recalling the prices of regulated and comparable unregulated products. Because regulated product prices are capped, they are…

General Economics · Economics 2025-02-25 Doron Sayag , Avichai Snir , Daniel Levy

The Price equation describes the change in populations. Change concerns some value, such as biological fitness, information or physical work. The Price equation reveals universal aspects for the nature of change, independently of the…

Populations and Evolution · Quantitative Biology 2023-12-27 Steven A. Frank

This paper studies the optimal investment problem with random endowment in an inventory-based price impact model with competitive market makers. Our goal is to analyze how price impact affects optimal policies, as well as both pricing rules…

Mathematical Finance · Quantitative Finance 2018-12-10 Michail Anthropelos , Scott Robertson , Konstantinos Spiliopoulos

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

A consistency criterion for price impact functions in limit order markets is proposed that prohibits chain arbitrage exploitation. Both the bid-ask spread and the feedback of sequential market orders of the same kind onto both sides of the…

Trading and Market Microstructure · Quantitative Finance 2009-11-13 Damien Challet

When an investor is faced with the option to purchase additional information regarding an asset price, how much should she pay? To address this question, we solve for the indifference price of information in a setting where a trader…

Mathematical Finance · Quantitative Finance 2024-03-08 Sebastian Jaimungal , Xiaofei Shi

Based on the analog between the stochastic dynamics and quantum harmonic oscillator, we propose a market force driving model to generalize the Black-Scholes model in finance market. We give new schemes of option pricing, in which we can…

Risk Management · Quantitative Finance 2026-01-05 Pengpeng Li , Shi-Dong Liang

Market impact has become a subject of increasing concern among academics and industry experts. We put forward a price impact model which considers the heteroscedasticity of price in the time dimension and dependency between permanent impact…

Trading and Market Microstructure · Quantitative Finance 2016-10-28 Shiyu Han , Lan Wu , Yuan Cheng

We present a model of price formation in an inelastic market whose dynamics are partially driven by both money flows and their impact on asset prices. The money flow to the market is viewed as an investment policy of outside investors. For…

Mathematical Finance · Quantitative Finance 2025-01-24 I. Halperin , A. Itkin
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