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Cross-correlation analysis is a powerful tool for understanding the mutual dynamics of time series. This study introduces a new method for predicting the future state of synchronization of the dynamics of two financial time series. To this…

Statistical Finance · Quantitative Finance 2022-11-03 Mostafa Shabani , Martin Magris , George Tzagkarakis , Juho Kanniainen , Alexandros Iosifidis

It is commonly believed that the correlations between stock returns increase in high volatility periods. We investigate how much of these correlations can be explained within a simple non-Gaussian one-factor description with time…

Disordered Systems and Neural Networks · Physics 2008-12-02 Pierre Cizeau , Marc Potters , Jean-Philippe Bouchaud

We construct a price impact model between stocks in a correlated market. For the price change of a given stock induced by the short-run liquidity of this stock itself and of the information about other stocks, we introduce a self- and a…

Trading and Market Microstructure · Quantitative Finance 2019-04-23 Shanshan Wang , Thomas Guhr

Financial data has been extensively studied for correlations using Pearson's cross-correlation coefficient {\rho} as the point of departure. We employ an estimator based on recurrence plots --- the Correlation of Probability of Recurrence…

Statistical Finance · Quantitative Finance 2013-06-05 B. Goswami , G. Ambika , N. Marwan , J. Kurths

The dynamics of the equal-time cross-correlation matrix of multivariate financial time series is explored by examination of the eigenvalue spectrum over sliding time windows. Empirical results for the S&P 500 and the Dow Jones Euro Stoxx 50…

Statistical Finance · Quantitative Finance 2010-02-02 Thomas Conlon , Heather J. Ruskin , Martin Crane

We propose a group model for correlations in stock markets. In the group model the markets are composed of several groups, within which the stock price fluctuations are correlated. The spectral properties of empirical correlation matrices…

Statistical Mechanics · Physics 2009-10-31 Jae Dong Noh

The econophysics approach to socio-economic systems is based on the assumption of their complexity. Such assumption inevitably lead to another assumption, namely that underlying interconnections within socio-economic systems, particularly…

Statistical Finance · Quantitative Finance 2023-07-19 Paweł Fiedor

The aim of this article is to briefly review and make new studies of correlations and co-movements of stocks, so as to understand the "seasonalities" and market evolution. Using the intraday data of the CAC40, we begin by reasserting the…

Statistical Finance · Quantitative Finance 2015-06-04 Gayatri Tilak , Tamas Szell , Remy Chicheportiche , Anirban Chakraborti

The partial correlation coefficient is a commonly used measure to assess the conditional dependence between two random variables. We provide a thorough explanation of the partial copula, which is a natural generalization of the partial…

Methodology · Statistics 2017-06-13 Fabian Spanhel , Malte S. Kurz

Financial stock returns correlations have been studied in the prism of random matrix theory, to distinguish the signal from the "noise". Eigenvalues of the matrix that are above the rescaled Marchenko Pastur distribution can be interpreted…

Statistical Finance · Quantitative Finance 2025-08-19 Ixandra Achitouv

Pairs Trading is carried out in the financial market to earn huge profits from known equilibrium relation between pairs of stock. In financial markets, seldom it is seen that stock pairs are correlated at particular lead or lag. This…

Statistical Finance · Quantitative Finance 2020-06-24 Kartikay Gupta , Niladri Chatterjee

The imbalance of buying and selling functions profoundly in the formation of market trends, however, a fine-granularity investigation of the imbalance is still missing. This paper investigates a unique transaction dataset that enables us to…

Computational Finance · Quantitative Finance 2018-02-06 Shan Lu , Jichang Zhao , Huiwen Wang

Using Random Matrix Theory one can derive exact relations between the eigenvalue spectrum of the covariance matrix and the eigenvalue spectrum of its estimator (experimentally measured correlation matrix). These relations will be used to…

Statistical Mechanics · Physics 2009-11-10 Zdzislaw Burda , Jerzy Jurkiewicz

This paper examines quantile dependence between international stock markets and evaluates its use for improving volatility forecasting. First, we analyze quantile dependence and directional predictability between the US stock market and…

Statistical Finance · Quantitative Finance 2016-08-26 Heejoon Han

Financial correlation matrices measure the unsystematic correlations between stocks. Such information is important for risk management. The correlation matrices are known to be ``noise dressed''. We develop a new and alternative method to…

Statistical Mechanics · Physics 2009-11-07 Thomas Guhr , Bernd Kaelber

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

An average instantaneous cross-correlation function is introduced to quantify the interaction of the financial market of a specific time. Based on the daily data of the American and Chinese stock markets, memory effect of the average…

Statistical Finance · Quantitative Finance 2015-05-18 Tian Qiu , Guang Chen , Li-Xin Zhong , Xiao-Wei Lei

The vast majority of market impact studies assess each product individually, and the interactions between the different order flows are disregarded. This strong approximation may lead to an underestimation of trading costs and possible…

Trading and Market Microstructure · Quantitative Finance 2017-03-08 Michael Benzaquen , Iacopo Mastromatteo , Zoltan Eisler , Jean-Philippe Bouchaud

We study the time dependent cross correlations of stock returns, i.e. we measure the correlation as the function of the time shift between pairs of stock return time series using tick-by-tick data. We find a weak but significant effect…

Statistical Mechanics · Physics 2009-11-07 L. Kullmann , J. Kertesz , K. Kaski

How can graph theory be applied to investing in the stock market? The answer may help investors realize the true risks of their investments, help prevent recessions like that of 2008, and increase financial literacy amongst students. Using…

Statistical Finance · Quantitative Finance 2019-02-05 Joseph Attia