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In this study, we attempted to determine how eigenvalues change, according to random matrix theory (RMT), in stock market data as the number of stocks comprising the correlation matrix changes. Specifically, we tested for changes in the…

Statistical Finance · Quantitative Finance 2015-05-13 Cheoljun Eom , Woo-Sung Jung , Taisei Kaizoji , Seunghwan Kim

The detection of community structure in stock market is of theoretical and practical significance for the study of financial dynamics and portfolio risk estimation. We here study the community structures in Chinese stock markets from the…

Statistical Finance · Quantitative Finance 2017-08-02 Li-Ling Su , Xiong-Fei Jiang , Sai-Ping Li , Li-Xin Zhong , Fei Ren

The paper examines the Chinese market reaction to the ADR issue by comparing returns and their stochastic variances of the Chinese firms cross-listed in the U.S. stock market. First, It was implemented capital asset pricing model (CAPM) to…

Pricing of Securities · Quantitative Finance 2017-11-27 Kamilla Sabitova

Firms having similar business activities are correlated. We analyze two different cross-correlation matrices C constructed from (i) 30-min price fluctuations of 1000 US stocks for the 2-year period 1994-95 and (ii) 1-day price fluctuations…

Statistical Mechanics · Physics 2008-12-02 Parameswaran Gopikrishnan , Bernd Rosenow , Vasiliki Plerou , H. Eugene Stanley

The cross-correlation matrix of daily returns of stock market indices in a diverse set of 37 countries worldwide was analyzed. Comparison of the spectrum of this matrix with predictions of random matrix theory provides an empirical evidence…

Statistical Mechanics · Physics 2009-11-07 Sergei Maslov

As described in this paper, we study market-wide price co-movements around crashes by analyzing a dataset of high-frequency stock returns of the constituent issues of Nikkei 225 Index listed on the Tokyo Stock Exchange for the three years…

Statistical Finance · Quantitative Finance 2013-06-11 Jun-ichi Maskawa , Joshin Murai , Koji Kuroda

Hypothesis of Market Efficiency is an important concept for the investors across the globe holding diversified portfolios. With the world economy getting more integrated day by day, more people are investing in global emerging markets. This…

Computational Finance · Quantitative Finance 2017-09-14 Oleg Malafeyev , Achal Awasthi , Kaustubh S. Kambekar

Geography effect is investigated for the Chinese stock market including the Shanghai and Shenzhen stock markets, based on the daily data of individual stocks. The Shanghai city and the Guangdong province can be identified in the stock…

Physics and Society · Physics 2016-05-04 Xing Li , Tian Qiu , Guang Chen , Li-Xin Zhong , Xiong-Fei Jiang

The correlation-based financial networks are studied intensively. However, previous studies ignored the importance of the anti-correlation. This paper is the first to consider the anti-correlation and positive correlation separately, and…

Statistical Finance · Quantitative Finance 2025-10-27 Peng Liu

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

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

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 use methods of random matrix theory to analyze the cross-correlation matrix C of price changes of the largest 1000 US stocks for the 2-year period 1994-95. We find that the statistics of most of the eigenvalues in the spectrum of C agree…

This study explores contagion in the Chinese stock market using Hawkes processes to analyze autocorrelation and cross-correlation in multivariate time series data. We examine whether market indices exhibit trending behavior and whether…

Statistical Finance · Quantitative Finance 2025-12-10 Junwei Yang

We study the dynamic interactions and structural changes in global financial indices in the years 1998-2012. We apply a principal component analysis (PCA) to cross-correlation coefficients of the stock indices. We calculate the correlations…

Physics and Society · Physics 2016-02-17 Ashadun Nobi , Jae Woo Lee

The diagonal effect of orders is well documented in different markets, which states that orders are more likely to be followed by orders of the same aggressiveness and implies the presence of short-term correlations in order flows. Based on…

Statistical Finance · Quantitative Finance 2018-02-27 Peng Yue , Hai-Chuan Xu , Wei Chen , Xiong Xiong , Wei-Xing Zhou

We study historical correlations and lead-lag relationships between individual stock risk (volatility of daily stock returns) and market risk (volatility of daily returns of a market-representative portfolio) in the US stock market. We…

Statistical Finance · Quantitative Finance 2014-09-03 Stanislav S. Borysov , Alexander V. Balatsky

Catastrophic events, though rare, do occur and when they occur, they have devastating effects. It is, therefore, of utmost importance to understand the complexity of the underlying dynamics and signatures of catastrophic events, such as…

General Finance · Quantitative Finance 2018-09-25 Anirban Chakraborti , Kiran Sharma , Hirdesh K. Pharasi , Sourish Das , Rakesh Chatterjee , Thomas H. Seligman

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

Changes in the capital structure before and after the global financial crisis for SMEs are studied, emphasizing their financing problems, distinguishing between internal financing and external financing determinants. The empirical research…

General Finance · Quantitative Finance 2017-08-25 ShiXue He , Marcel Ausloos