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Risk contribution

The part of a portfolio's total dispersion attributable to one position, accounting for its relationship with the others — not its share of the money.

Formula

RCi=wi(Σw)iσp

The numerator is the covariance of the position with the portfolio, the denominator the portfolio's dispersion. Contributions across all positions sum to that dispersion.

How to read the number

It often contradicts intuition: a position small in money but tightly linked to the rest adds more risk than a large independent one.

When the metric lies

Also known as: marginal risk contribution

Related terms