APPLICATION OF THE RANDOM MATRIX THEORY ON THE CROSS-CORRELATION OF STOCK ‎PRICES

The analysis of cross-correlations is extensively applied for understanding of interconnections in stock markets. Variety of methods are used in order to search stock cross-correlations including the Random Matrix Theory (RMT), the Principal Component Analysis (PCA) and the Hierachical ‎Structures.‎ In ‎this work‎, we analyze cross-crrelations between price fluctuations of ۲۰ ‎company ‎stocks‎‎ of Iran by using RMT. We find the eigenvalues and eigenvectors of the matrices of the cross-correlations related to ‎the‎se stocks.‎‎‎   The results show some eigenvalues do not fall within the bounds of RMT eigenvalues, that indicate the correlations of ‎‎ stocks in usual and critical flucatutions.

Keywords:

random matrix theory , Cross-Correlation , Eigenvalue and eigenvector