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Semi-variance

Dispersion computed only over periods that came in below a chosen threshold: how badly a portfolio fell, with no credit for how strongly it rose.

Formula

σd2=1n∑ri<τ(ri−τ)2

The threshold is set in advance — zero or the risk-free rate. Only periods below it enter the sum, while the divisor stays the total number of observations.

How to read the number

It underpins the Sortino ratio and sits closer to what people actually mean by risk: nobody is frightened by an upside surprise, yet symmetric measures count it as one.

When the metric lies

Also known as: downside semi-variance

Related terms