The bulk of the stock market correlation matrix is not pure noise

J. Kwapień, S. Drożdż and Oświe¸cimka, P.

Physica A: Statistical Mechanics and its Applications, 2006, vol. 359, issue C, 589-606

Abstract: 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 relate the result to the corresponding ensemble of Wishart random matrices. It turns out that systematically more eigenvalues remain beyond the borders prescribed by this variant of the random matrix theory (RMT). This may indicate that even the bulk of the spectrum of the stock market correlation matrix carries some sort of correlations that are masked by a measurement noise when the time series used to construct the matrix are short. We also study some other characteristics of the “noisy” eigensignals, like their return distributions, temporal correlations or their multifractal spectra, and the results support the above conclusions.

Keywords: Correlation matrix; Portfolio theories; Coexistence of noise and collectivity (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (11)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:359:y:2006:i:c:p:589-606

DOI: 10.1016/j.physa.2005.05.090

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