The fine structure of spectral properties for random correlation matrices: an application to financial markets
Giacomo Livan (giacomo.livan@gmail.com),
Simone Alfarano and
Enrico Scalas
MPRA Paper from University Library of Munich, Germany
Abstract:
We study some properties of eigenvalue spectra of financial correlation matrices. In particular, we investigate the nature of the large eigenvalue bulks which are observed empirically, and which have often been regarded as a consequence of the supposedly large amount of noise contained in financial data. We challenge this common knowledge by acting on the empirical correlation matrices of two data sets with a filtering procedure which highlights some of the cluster structure they contain, and we analyze the consequences of such filtering on eigenvalue spectra. We show that empirically observed eigenvalue bulks emerge as superpositions of smaller structures, which in turn emerge as a consequence of cross-correlations between stocks. We interpret and corroborate these findings in terms of factor models, and and we compare empirical spectra to those predicted by Random Matrix Theory for such models.
Keywords: random matrix theroy; financial econometrics; correlation matrix (search for similar items in EconPapers)
JEL-codes: C01 C51 G11 (search for similar items in EconPapers)
Date: 2011-02-19
New Economics Papers: this item is included in nep-ecm
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Citations: View citations in EconPapers (16)
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Working Paper: The fine structure of spectral properties for random correlation matrices: an application to financial markets (2011)
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