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We revisit the "epsilon-intelligence" model of Toth et al.(2011), that was proposed as a minimal framework to understand the square-root dependence of the impact of meta-orders on volume in financial markets. The basic idea is that most of…

Trading and Market Microstructure · Quantitative Finance 2014-12-23 Iacopo Mastromatteo , Bence Toth , Jean-Philippe Bouchaud

We address the question of how stock prices respond to changes in demand. We quantify the relations between price change $G$ over a time interval $\Delta t$ and two different measures of demand fluctuations: (a) $\Phi$, defined as the…

Statistical Mechanics · Physics 2009-11-07 Vasiliki Plerou , Parameswaran Gopikrishnan , Xavier Gabaix , H. Eugene Stanley

Although behavioral economics has demonstrated that there are many situations where rational choice is a poor empirical model, it has so far failed to provide quantitative models of economic problems such as price formation. We make a step…

Physics and Society · Physics 2008-12-02 Szabolcs Mike , J. Doyne Farmer

We consider a simple model for the evolution of a limit order book in which limit orders of unit size arrive according to independent Poisson processes. The frequencies of buy limit orders below a given price level, respectively sell limit…

Mathematical Finance · Quantitative Finance 2018-06-26 Vít Peržina , Jan M. Swart

We discuss the stationary states of a model economy in which $N$ heterogeneous adaptive consumers purchase commodity bundles repeatedly from $P$ sellers. The system undergoes a transition from an inefficient to an efficient state as the…

Disordered Systems and Neural Networks · Physics 2009-11-11 Andrea De Martino , Matteo Marsili

In this study, we introduce a physical model inspired by statistical physics for predicting price volatility and expected returns by leveraging Level 3 order book data. By drawing parallels between orders in the limit order book and…

Trading and Market Microstructure · Quantitative Finance 2024-06-26 Haochen Li , Yi Cao , Maria Polukarov , Carmine Ventre

We introduce a stochastic heterogeneous interacting-agent model for the short-time non-equilibrium evolution of excess demand and price in a stylized asset market. We consider a combination of social interaction within peer groups and…

General Finance · Quantitative Finance 2009-07-20 Gunter M. Schütz , Fernando Pigeard de Almeida Prado , Rosemary J. Harris , Vladimir Belitsky

We extend a linear version of the liquidity risk model of Cetin et al. (2004) to allow for price impacts. We show that the impact of a market order on prices depends on the size of the transaction and the level of liquidity. We obtain a…

Probability · Mathematics 2009-12-10 Alexandre F. Roch

The disbalance of Supply and Demand is typically considered as the driving force of the markets. However, the measurement or estimation of Supply and Demand at price different from the execution price is not possible even after the…

Economics · Quantitative Finance 2016-02-16 Vladislav Gennadievich Malyshkin

Microstructure of market dynamics is studied through analysis of tick price data. Linear trend is introduced as a tool for such analysis. Trend arbitrage inequality is developed and tested. The inequality sets limiting relationship between…

Data Analysis, Statistics and Probability · Physics 2008-12-02 Nikolai Zaitsev

The goal of developing a firmer theoretical understanding of inhomogenous temporal processes -- in particular, the waiting times in some collective dynamical system -- is attracting significant interest among physicists. Quantifying the…

Statistical Finance · Quantitative Finance 2015-06-12 Guannan Zhao , Mark McDonald , Dan Fenn , Stacy Williams , Neil F. Johnson

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

The basis of arbitrage methods depends on the circulation of information within the framework of the financial market. Following the work of Modigliani and Miller, it has become a vital part of discussions related to the study of financial…

Statistical Finance · Quantitative Finance 2025-09-12 Kiran Sharma , Abhijit Dutta , Rupak Mukherjee

We propose a non-linear observation-driven version of the Hasbrouck (1991) model for dynamically estimating trades' market impact and information content. We find that market impact displays an intraday pattern superimposed with large…

Trading and Market Microstructure · Quantitative Finance 2023-12-27 F. Campigli , G. Bormetti , F. Lillo

We present a model of financial markets originally proposed for a turbulent flow, as a dynamic basis of its intermittent behavior. Time evolution of the price change is assumed to be described by Brownian motion in a power-law potential,…

Statistical Mechanics · Physics 2009-11-07 Naoki Kozuki , Nobuko Fuchikami

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 introduce a mathematical model on the dynamics of demand and supply incorporating collectability and saturation factors. Our analysis shows that when the fluctuation of the determinants of demand and supply is strong enough, there is…

Mathematical Finance · Quantitative Finance 2017-03-08 Y. Charles Li , Hong Yang

In this paper we study the price dynamics in a simple model of financial markets with heterogeneous agents. We concentrate on how increases in the total number of active traders influences fluctuations of asset prices. We find that a…

Chaotic Dynamics · Physics 2015-06-26 Taisei Kaizoji

We study the problem of the execution of a moderate size order in an illiquid market within the framework of a solvable Markovian model. We suppose that in order to avoid impact costs, a trader decides to execute her order through a unique…

Trading and Market Microstructure · Quantitative Finance 2015-06-09 Iacopo Mastromatteo

In this paper, we conduct a systematic large-scale analysis of order book-driven predictability in high-frequency returns by leveraging deep learning techniques. First, we introduce a new and robust representation of the order book, the…

Computational Finance · Quantitative Finance 2023-10-10 Lorenzo Lucchese , Mikko Pakkanen , Almut Veraart