Livan, Giacomo and Alfarano, Simone and Scalas, Enrico (2011): The fine structure of spectral properties for random correlation matrices: an application to financial markets.

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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 crosscorrelations 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.
Item Type:  MPRA Paper 

Original Title:  The fine structure of spectral properties for random correlation matrices: an application to financial markets 
Language:  English 
Keywords:  random matrix theroy; financial econometrics; correlation matrix 
Subjects:  C  Mathematical and Quantitative Methods > C5  Econometric Modeling > C51  Model Construction and Estimation G  Financial Economics > G1  General Financial Markets > G11  Portfolio Choice; Investment Decisions C  Mathematical and Quantitative Methods > C0  General > C01  Econometrics 
Item ID:  28964 
Depositing User:  Simone Alfarano 
Date Deposited:  22. Feb 2011 18:58 
Last Modified:  20. Feb 2013 16:18 
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URI:  http://mpra.ub.unimuenchen.de/id/eprint/28964 