Wolfram Language

Random Matrices

Portfolio Correlation

When building a portfolio of investments, it is desirable to diversify them so that they are as uncorrelated as possible. In the absence of correlation, the largest scaled eigenvalue of the covariance matrix is expected to be distributed according to the TracyWidom distribution of . This allows stock combinations that are correlated to be identified.

Portfolio of 50 of the largest companies by market value in the S&P 500, together with their stock price history since 2000.

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