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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

The association between log-price increments of exchange-traded equities, as measured by their spot correlation estimated from high-frequency data, exhibits a pronounced upward-sloping and almost piecewise linear relationship at the…

Econometrics · Economics 2026-01-16 Kim Christensen , Ulrich Hounyo , Zhi Liu

Experimentally observed networks of interacting dynamical systems are inferred from recorded multivariate time series by evaluating a statistical measure of dependence, usually the cross-correlation coefficient, or mutual information. These…

Data Analysis, Statistics and Probability · Physics 2017-07-03 Milan Palus

This non-linear relationship in the joint time-frequency domain has been studied for the Indian National Stock Exchange (NSE) with the international Gold price and WTI Crude Price being converted from Dollar to Indian National Rupee based…

Statistical Finance · Quantitative Finance 2024-09-05 Abhibasu Sen , Karabi Dutta Chaudhury

In this paper we use wavelet concepts to show that correlation coefficient between two financial data's is not constant but varies with scale from high correlation value to strongly anti-correlation value This studies is important because…

Statistical Mechanics · Physics 2009-11-10 Ashok Razdan

In this manuscript we present a comprehensive study on the multifractal properties of high-frequency price fluctuations and instantaneous volatility of the equities that compose Dow Jones Industrial Average. The analysis consists about…

Statistical Finance · Quantitative Finance 2008-12-02 Jeferson de Souza , Silvio M. Duarte Queiros

The gain-loss asymmetry, observed in the inverse statistics of stock indices is present for logarithmic return levels that are over $2\%$, and it is the result of the non-Pearson type auto-correlations in the index. These non-Pearson type…

Statistical Finance · Quantitative Finance 2016-08-24 Bulcsú Sándor , Ingve Simonsen , Bálint Zsolt Nagy , Zoltán Néda

To investigate the universality of the structure of interactions in different markets, we analyze the cross-correlation matrix C of stock price fluctuations in the National Stock Exchange (NSE) of India. We find that this emerging market…

Statistical Finance · Quantitative Finance 2008-12-02 Raj Kumar Pan , Sitabhra Sinha

In order to investigate the origin of large price fluctuations, we analyze stock price changes of ten frequently traded NASDAQ stocks in the year 2002. Though the influence of the trading frequency on the aggregate return in a certain time…

Physics and Society · Physics 2009-11-11 Philipp Weber

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

The methodology presented provides a quantitative way to characterize investor behavior and price dynamics within a particular asset class and time period. The methodology is applied to a data set consisting of over 250,000 data points of…

General Finance · Quantitative Finance 2020-04-22 Gunduz Caginalp , Mark DeSantis

Most time series observed in practice exhibit time-varying trend (first-order) and autocovariance (second-order) behaviour. Differencing is a commonly-used technique to remove the trend in such series, in order to estimate the time-varying…

Methodology · Statistics 2022-09-07 Euan T. McGonigle , Rebecca Killick , Matthew A. Nunes

The cross-correlations between price fluctuations of 201 frequently traded stocks in the National Stock Exchange (NSE) of India are analyzed in this paper. We use daily closing prices for the period 1996-2006, which coincides with the…

Statistical Finance · Quantitative Finance 2012-01-11 Sitabhra Sinha , Raj Kumar Pan

This paper proposes a governing equation for stock market indexes that accounts for non-stationary effects. This is a linear Fokker-Planck equation (FPE) that describes the time evolution of the probability distribution function (PDF) of…

Statistical Finance · Quantitative Finance 2020-08-25 Karina Arias-Calluari , Morteza. N. Najafi , Michael S. Harré , Fernando Alonso-Marroquin

In the paper we compare the modelling ability of discrete-time multivariate Stochastic Volatility models to describe the conditional correlations between stock index returns. We consider four trivariate SV models, which differ in the…

Data Analysis, Statistics and Probability · Physics 2008-12-02 Anna Pajor

Correlation matrices inferred from stock return time series contain information on the behaviour of the market, especially on clusters of highly correlating stocks. Here we study a subset of New York Stock Exchange (NYSE) traded stocks and…

Physics and Society · Physics 2009-11-13 Tapio Heimo , Jari Saramaki , Jukka-Pekka Onnela , Kimmo Kaski

The non-stationary dynamics of a bouncing ball, comprising of both periodic as well as chaotic behavior, is studied through wavelet transform. The multi-scale characterization of the time series displays clear signature of self-similarity,…

Mathematical Physics · Physics 2015-06-15 Abhinna Kumar Behera , Prasanta K. Panigrahi , A. N. Sekar Iyengar

In this paper, we study the connection between the companies in the Swedish capital market. We consider 28 companies included in the determination of the market index OMX30. The network structure of the market is constructed using different…

Statistical Finance · Quantitative Finance 2022-11-01 Elena Farahbakhsh Touli , Hoang Nguyen , Olha Bodnar

We analyse the structure of the distribution of eigenvalues of the stock market correlation matrix with increasing length of the time series representing the price changes. We use 100 highly-capitalized stocks from the American market and…

Physics and Society · Physics 2009-11-11 J. Kwapien , P. Oswiecimka , S. Drozdz

Long-range correlation in financial time series reflects the complex dynamics of the stock markets driven by algorithms and human decisions. Our analysis exploits ultra-high frequency order book data from NASDAQ Nordic over a period of…

Trading and Market Microstructure · Quantitative Finance 2017-11-10 Martin Magris , Jiyeong Kim , Esa Rasanen , Juho Kanniainen