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Teoría de matrices aleatorias y correlación de series financieras: El caso de la Bolsa Mexicana de Valores

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Author Info
Linda Margarita Medina Herrera () (Tecnológico de Monterrey, Campus Ciudad de México)
Ricardo Mansilla Corona () (Centro de Investigaciones Interdisciplinarias, UNAM)
Abstract

In this paper we apply random matrix theory (RMT) to the analysis of cross-correlation matrix C constructed from daily returns of 65 stocks traded at the Bolsa Mexicana de Valores during a 8-year trading period. We find that the statistics of most of the eigenvalues in the spectrum of C agrees with the prediction of RMT, but there are deviations for a few of the larger eigenvalues. We show that C has the universal properties of the Gaussian orthogonal ensemble of random matrices. Furthermore, we analyze the eigenvectors of C through their inverse participation ratio, such analysis allow us to indicate matrix C has a random band structure.

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Publisher Info
Article provided by Tecnológico de Monterrey, Campus Ciudad de México in its journal Revista de Administración, Finanzas y Economía (Journal of Management, Finance and Economics).

Volume (Year): 2 (2008)
Issue (Month): 2 ()
Pages: 125-135
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Handle: RePEc:ega:rafega:200809

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Related research
Keywords: Matrices aleatorias; matrices de correlación financieras;

Find related papers by JEL classification:
C16 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Econometric and Statistical Methods; Specific Distributions
C65 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Miscellaneous Mathematical Tools
G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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This page was last updated on 2009-11-18.


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