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Correlation Matrix (30-day correlation)

A correlation matrix shows, for every pair from a group of ETFs, how strongly their daily returns were linearly related over a given period. The values range from -1 through 0 to +1.

Calculation and mechanics

The basis is the Pearson correlation coefficient of the daily percentage returns of two instruments, in Foliograph over 30 trading days.

A value near +1 means that the returns move very much in step. A value near -1 means an inverse linear relationship. A value near 0 means that no pronounced linear relationship exists.

The absolute size of the swings need not be equal: if one ETF regularly moves about twice as much as another but the moves are proportional, the correlation can still be near +1.

The matrix is symmetric and the diagonal is 1. With a short window such as 30 trading days, the metric reacts relatively quickly to new market phases. Individual extreme days can noticeably affect the result.

r = covariance(return A, return B) / (stdev A x stdev B)

Distinction

Correlation is not beta. It describes the linear co-movement of two return series, not how much one instrument moves relative to the other.

Nor is it the return relative to a benchmark, which measures the difference in total returns over a period. High correlation between two country ETFs can arise, for example, from similar sectors, shared holdings or common global market influences.

Related terms

All terms in the glossary

All market and analytical information is provided for educational and analytical purposes only and does not constitute investment advice or a trading recommendation.