Market correlation structure changes around the Great Crash
arXiv:1602.00125 · doi:10.1142/S0219477517500183
Abstract
We perform a comparative analysis of the Chinese stock market around the occurrence of the 2008 crisis based on the random matrix analysis of high-frequency stock returns of 1228 stocks listed on the Shanghai and Shenzhen stock exchanges. Both raw correlation matrix and partial correlation matrix with respect to the market index in two time periods of one year are investigated. We find that the Chinese stocks have stronger average correlation and partial correlation in 2008 than in 2007 and the average partial correlation is significantly weaker than the average correlation in each period. Accordingly, the largest eigenvalue of the correlation matrix is remarkably greater than that of the partial correlation matrix in each period. Moreover, each largest eigenvalue and its eigenvector reflect an evident market effect, while other deviating eigenvalues do not. We find no evidence that deviating eigenvalues contain industrial sectorial information. Surprisingly, the eigenvectors of the second largest eigenvalues in 2007 and of the third largest eigenvalues in 2008 are able to distinguish the stocks from the two exchanges. We also find that the component magnitudes of the some largest eigenvectors are proportional to the stocks' capitalizations.
arXiv comment6 pages including 5 figures
References in corpus (34)
- Hierarchical Structure in Financial Markets
- Noise Dressing of Financial Correlation Matrices
- Universal and non-universal properties of cross-correlations in financial time series
- A Random Matrix Approach to Cross-Correlations in Financial Data
- Correlation, hierarchies, and networks in financial markets
- Critical Market Crashes
- Evolution of worldwide stock markets, correlation structure and correlation based graphs
- Bubble Diagnosis and Prediction of the 2005-2007 and 2008-2009 Chinese stock market bubbles
- Detrended partial cross-correlation analysis of two nonstationary time series influenced by common external forces
- Correlation, Network and Multifractal Analysis of Global Financial Indices
- Cross-correlation in financial dynamics
- Correlation and Network Topologies in Global and Local Stock Indices
- Systemic risk and spatiotemporal dynamics of the US housing market
- Identification of clusters of investors from their real trading activity in a financial market
- Structure of local interactions in complex financial dynamics
- Complex stock trading network among investors
- Dynamic evolution of cross-correlations in the Chinese stock market
- Anti-correlation and subsector structure in financial systems
- The Epps effect revisited
- Correlation structure and principal components in global crude oil market
- Random Matrix Theory and Cross-correlations in Global Financial Indices and Local Stock Market Indices
- On the Eigenvalue Density of Real and Complex Wishart Correlation Matrices
- Distinguishing manipulated stocks via trading network analysis
- Unveiling correlations between financial variables and topological metrics of trading networks: Evidence from a stock and its warrant
- Trading networks, abnormal motifs and stock manipulation
- Club Convergence of House Prices: Evidence from China's Ten Key Cities
- Zooming into market states
- Characteristics of Real Futures Trading Networks
- Patterns of trading profiles at the Nordic Stock Exchange. A correlation-based approach
- Completing the picture for the smallest eigenvalue of real Wishart matrices
- Random matrix approach to the dynamics of stock inventory variations
- Dependence structure of market states
- Limiting Statistics of the Largest and Smallest Eigenvalues in the Correlated Wishart Model
- Constructing Analytically Tractable Ensembles of Non-Stationary Covariances with an Application to Financial Data
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- Multifractal analysis of financial markets
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- Information transfer between stock market sectors: A comparison between the USA and China
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- Time-varying return predictability in the Chinese stock market
- Correlation structure analysis of the global agricultural futures market
- Horse race of weekly idiosyncratic momentum strategies with respect to various risk metrics: Evidence from the Chinese stock market
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