Laurent Laloux,
Pierre Cizeau,
Jean-Philippe Bouchaud and
Marc Potters ()
Additional contact information Laurent Laloux: Science & Finance, Capital Fund Management
Pierre Cizeau: Science & Finance, Capital Fund Management
Jean-Philippe Bouchaud: Science & Finance, Capital Fund Management
Abstract:
We show that results from the theory of random matrices are potentially of great interest to understand the statistical structure of the empirical correlation matrices appearing in the study of price fluctuations. The central result of the present study is the remarkable agreement between the theoretical prediction (based on the assumption that the correlation matrix is random) and empirical data concerning the density of eigenvalues associated to the time series of the different stocks of the S&P500 (or other major markets). In particular the present study raises serious doubts on the blind use of empirical correlation matrices for risk management.
More papers in Science & Finance (CFM) working paper archive from Science & Finance, Capital Fund Management Address: 6 boulevard Haussmann, 75009 Paris, FRANCE Contact information at EDIRC. Series data maintained by Marc Potters ().
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