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We propose a frustrated and disordered many-body model of a stockmarket in which independent adaptive traders can trade a stock subject to the economic law of supply and demand. We show that the typical scaling properties and the correlated…

Statistical Mechanics · Physics 2008-12-02 Fabio Franci , Lorenzo Matassini

In the past few decades considerable effort has been expended in characterizing and modeling financial time series. A number of stylized facts have been identified, and volatility clustering or the tendency toward persistence has emerged as…

Physics and Society · Physics 2008-12-02 Kan Chen , C. Jayaprakash , Baosheng Yuan

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

There are many benefits and costs that come from people and firms clustering together in space. Agglomeration economies, in particular, are the manifestation of centripetal forces that make larger cities disproportionately more wealthy than…

Physics and Society · Physics 2024-04-23 Andres Gomez-Lievano , Michail Fragkias

We investigate the tendency for financial instruments to form clusters when there are multiple factors influencing the correlation structure. Specifically, we consider a stock portfolio which contains companies from different industrial…

Statistical Finance · Quantitative Finance 2015-05-08 Gordon J. Ross

We present a quantitative theory, based on crowd effects, for the market volatility in a Minority Game played by a mixed population. Below a critical concentration of generalized strategy players, we find that the volatility in the crowded…

Condensed Matter · Physics 2009-10-31 P. Jefferies , M. Hart , N. F. Johnson , P. M. Hui

The measured correlations of financial time series in subsequent epochs change considerably as a function of time. When studying the whole correlation matrices, quasi-stationary patterns, referred to as market states, are seen by applying…

Statistical Finance · Quantitative Finance 2020-11-03 Anton J. Heckens , Sebastian M. Krause , Thomas Guhr

This paper conducts an empirically study on the trade package composed of a sequence of consecutive purchases or sales of 23 stocks in Chinese stock market. We investigate the probability distributions of the execution time, the number of…

Trading and Market Microstructure · Quantitative Finance 2013-09-09 Fei Ren , Wei-Xing Zhou

The dynamics of a stock market with heterogeneous agents is discussed in the framework of a recently proposed spin model for the emergence of bubbles and crashes. We relate the log returns of stock prices to magnetization in the model and…

Statistical Mechanics · Physics 2009-11-07 Taisei Kaizoji , Stefan Bornholdt , Yoshi Fujiwara

We present in this paper an empirical framework motivated by the practitioner point of view on stability. The goal is to both assess clustering validity and yield market insights by providing through the data perturbations we propose a…

Statistical Finance · Quantitative Finance 2015-09-21 Gautier Marti , Philippe Very , Philippe Donnat , Frank Nielsen

The crowd panic and its contagion play non-negligible roles at the time of the stock crash, especially for China where inexperienced investors dominate the market. However, existing models rarely consider investors in networking stocks and…

General Finance · Quantitative Finance 2018-04-26 Shan Lu , Jichang Zhao , Huiwen Wang , Ruoen Ren

The collective phenomena of a liquid market is characterized in terms of a particle system scenario. This physical analogy enables us to disentangle intrinsic features from purely stochastic ones. The latter are the result of environmental…

Disordered Systems and Neural Networks · Physics 2008-12-02 G. Cuniberti , M. Porto , H. E. Roman

In this letter we investigate the information provided by the "compass rose" (Crack, T.F. and Ledoit, O. (1996), Journal of Finance, 51(2), pg. 751-762) patterns revealed in phase portraits of daily stock returns. It has been initially…

Other Condensed Matter · Physics 2008-12-08 Constantinos E. Vorlow

The study seeks to develop an effective strategy based on the novel framework of statistical arbitrage based on graph clustering algorithms. Amalgamation of quantitative and machine learning methods, including the Kelly criterion, and an…

Portfolio Management · Quantitative Finance 2024-06-18 Adam Korniejczuk , Robert Ślepaczuk

It is known that the impact of transactions on stock price (market impact) is a concave function of the size of the order, but there exists little quantitative theory that suggests why this is so. I develop a quantitative theory for the…

Statistical Finance · Quantitative Finance 2008-12-02 Austin Gerig

We explore various extensions of Challet and Zhang's Minority Game in an attempt to gain insight into the dynamics underlying financial markets. First we consider a heterogeneous population where individual traders employ differing `time…

Condensed Matter · Physics 2007-05-23 Neil F. Johnson , Michael Hart , Pak Ming Hui , Dafang Zheng

We consider the problem of the statistical uncertainty of the correlation matrix in the optimization of a financial portfolio. We show that the use of clustering algorithms can improve the reliability of the portfolio in terms of the ratio…

Physics and Society · Physics 2008-12-02 Vincenzo Tola , Fabrizio Lillo , Mauro Gallegati , Rosario N. Mantegna

We quantify the amount of information filtered by different hierarchical clustering methods on correlations between stock returns comparing it with the underlying industrial activity structure. Specifically, we apply, for the first time to…

Statistical Finance · Quantitative Finance 2023-07-19 Nicolo Musmeci , Tomaso Aste , Tiziana Di Matteo

We build a simple model of leveraged asset purchases with margin calls. Investment funds use what is perhaps the most basic financial strategy, called "value investing", i.e. systematically attempting to buy underpriced assets. When funds…

Statistical Finance · Quantitative Finance 2010-01-11 Stefan Thurner , J. Doyne Farmer , John Geanakoplos

We run experimental asset markets to investigate the emergence of excess trading and the occurrence of synchronised trading activity leading to crashes in the artificial markets. The market environment favours early investment in the risky…

General Finance · Quantitative Finance 2015-12-14 Joao da Gama Batista , Domenico Massaro , Jean-Philippe Bouchaud , Damien Challet , Cars Hommes