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In this paper the diffusion entropy technique is applied to investigate the scaling behavior of financial markets. The scaling behaviors of four representative stock markets, Dow Jones Industrial Average, Standard&Poor 500, Heng Seng Index,…

Physics and Society · Physics 2007-05-23 Shi-Min Cai , Pei-Ling Zhou , Hui-Jie Yang , Chun-Xia Yang , Bing-Hong Wang , Tao Zhou

We present the clustering analysis of the financial markets of S&P 500 (USA) and Nikkei 225 (JPN) markets over a period of 2006-2019 as an example of a complex system. We investigate the statistical properties of correlation matrices…

Computational Finance · Quantitative Finance 2020-11-12 Hirdesh K. Pharasi , Eduard Seligman , Thomas H. Seligman

A market model in Stochastic Portfolio Theory is a finite system of strictly positive stochastic processes. Each process represents the capitalization of a certain stock. If at any time no stock dominates almost the entire market, which…

Probability · Mathematics 2013-10-30 Andrey Sarantsev

The presence of log-periodic structures before and after stock market crashes is considered to be an imprint of an intrinsic discrete scale invariance (DSI) in this complex system. The fractal framework of the theory leaves open the…

Other Condensed Matter · Physics 2009-11-11 M. Bartolozzi , S. Drozdz , D. B. Leinweber , J. Speth , A. W. Thomas

Providing a measure of market risk is an important issue for investors and financial institutions. However, the existing models for this purpose are per definition symmetric. The current paper introduces an asymmetric capital asset pricing…

Pricing of Securities · Quantitative Finance 2024-05-07 Abdulnasser Hatemi-J

We study the temporal evolution of the market efficiency in the stock markets using the complexity, entropy density, standard deviation, autocorrelation function, and probability distribution of the log return for Standard and Poor's 500…

Physics and Society · Physics 2008-12-02 Jae-Suk Yang , Wooseop Kwak , Taisei Kaizoji , In-mook Kim

We present an analysis of the time behavior of the $S\&P500$ (Standard and Poors) New York stock exchange index before and after the October 1987 market crash and identify precursory patterns as well as aftershock signatures and…

Condensed Matter · Physics 2009-10-28 Didier Sornette , Anders Johansen , Jean-Philippe Bouchaud

Complex systems comprise a large number of interacting elements, whose dynamics is not always a priori known. In these cases -- in order to uncover their key features -- we have to turn to empirical methods, one of which was recently…

Physics and Society · Physics 2008-12-02 Janos Kertesz , Zoltan Eisler

Given financial data from popular sites like Yahoo and the London Exchange, the presented paper attempts to model and predict stocks that can be considered "good investments". Stocks are characterized by 125 features ranging from gross…

Computational Engineering, Finance, and Science · Computer Science 2015-03-10 Mike Wu

A spring-block chain placed on a running conveyor belt is considered for modeling stylized facts observed in the dynamics of stock indexes. Individual stocks are modeled by the blocks, while the stock-stock correlations are introduced via…

Physics and Society · Physics 2016-05-20 Bulcsu Sandor , Zoltan Neda

We investigate sets of financial non-redundant and nonsynchronously recorded time series. The sets are composed by a number of stock market indices located all over the world in five continents. By properly selecting the time horizon of…

Statistical Mechanics · Physics 2009-10-31 Giovanni Bonanno , Nicolas Vandewalle , Rosario N. Mantegna

We pose the estimation and predictability of stock market performance. Three cases are taken: US, Japan, Germany, the monthly index of the value of realized investment in stocks, prices plus the value of dividend payments (OECD data). Once…

General Economics · Economics 2023-05-11 Ignacio Escanuela Romana , Clara Escanuela Nieves

We exploit a continuous time random walk description of stock prices to obtain a fast and accurate evaluation of their volatility from intraday data. We show that financial markets are usefully described as open physical systems. Indeed we…

Other Condensed Matter · Physics 2008-12-02 Rosario Bartiromo

As a typical representation of complex networks studied relatively thoroughly, financial market presents some special details, such as its nonconservation and opinions spreading. In this model, agents congregate to form some clusters, which…

Other Condensed Matter · Physics 2007-05-23 Jie Wang , Chun-Xia Yang , Pei-Ling Zhou , Ying-Di Jin , Tao Zhou , Bing-Hong Wang

Financial market is an example of complex system, which is characterized by a highly intricate organization and the emergence of collective behavior. In this paper, we quantify this emergent dynamics in the financial market by using…

General Finance · Quantitative Finance 2011-09-07 Thomas Kauê Dal'Maso Peron , Francisco Aparecido Rodrigues

This paper studies the time-varying structure of the equity market with respect to market capitalization. First, we analyze the distribution of the 100 largest companies' market capitalizations over time, in terms of inequality,…

Mathematical Finance · Quantitative Finance 2025-02-21 Nick James , Max Menzies

Records of the traded value f_i(t) of stocks display fluctuation scaling, a proportionality between the standard deviation sigma(i) and the average <f(i)>: sigma(i) ~ f(i)^alpha, with a strong time scale dependence alpha(dt). The…

Physics and Society · Physics 2008-12-02 Zoltan Eisler , Janos Kertesz

This paper investigates the dynamics of in the S&P500 index from daily returns for the last 30 years. Using a stochastic geometry technique, each S&P500 yearly batch of data is embedded in a subspace that can be accurately described by a…

Statistical Mechanics · Physics 2016-08-16 Tanya Araújo , Francisco Louçã

Financial markets are a typical example of complex systems where interactions between constituents lead to many remarkable features. Here, we show that a pairwise maximum entropy model (or auto-logistic model) is able to describe switches…

Statistical Finance · Quantitative Finance 2014-01-28 Thomas Bury

Financial markets, being spectacular examples of complex systems, display rich correlation structures among price returns of different assets. The correlation structures change drastically, akin to phase transitions in physical phenomena,…

Statistical Finance · Quantitative Finance 2020-07-23 Anirban Chakraborti , Hrishidev , Kiran Sharma , Hirdesh K. Pharasi