An analysis of Cross-correlations in South African Market data
arXiv:cond-mat/0402389 · doi:10.1016/j.physa.2006.10.030
Abstract
We apply random matrix theory to compare correlation matrix estimators C obtained from emerging market data. The correlation matrices are constructed from 10 years of daily data for stocks listed on the Johannesburg Stock Exchange (JSE) from January 1993 to December 2002. We test the spectral properties of C against random matrix predictions and find some agreement between the distributions of eigenvalues, nearest neighbour spacings, distributions of eigenvector components and the inverse participation ratios for eigenvectors. We show that interpolating both missing data and illiquid trading days with a zero-order hold increases agreement with RMT predictions. For the more realistic estimation of correlations in an emerging market, we suggest a pairwise measured-data correlation matrix. For the data set used, this approach suggests greater temporal stability for the leading eigenvectors. An interpretation of eigenvectors in terms of trading strategies is given in lieu of classification by economic sectors.
19 pages, 15 figures, additional figures, discussion and references
References in corpus (9)
- A Random Matrix Approach to Cross-Correlations in Financial Data
- Networks of equities in financial markets
- Signal and Noise in Correlation Matrix
- Noisy Covariance Matrices and Portfolio Optimization II
- Estimated Correlation Matrices and Portfolio Optimization
- Data clustering and noise undressing for correlation matrices
- Quantifying dynamics of the financial correlations
- Identifying Complexity by Means of Matrices
- How many independent bets are there?
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