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

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.