Forex glossary

Sortino Ratio

Mean return above a specified target divided by downside deviation relative to that target. The version shown divides squared shortfalls by all observations; state the target, periods and convention, and do not interpret a zero denominator as no risk.

Illustrative example

How does it work in practice?

For hypothetical monthly returns +1%, +1%, +1%, −1%, mean is 0.5%. With a zero target and squared shortfalls divided by all four observations, downside deviation is 0.5 percentage points and Sortino equals 1.

A case to work through

Positive return, missed target

Monthly model: target 2%, returns 1% and 3%; squared shortfalls are divided by all observations.

  1. Shortfalls are −1 percentage point and zero.
  2. Mean return is 2%, so the above-target numerator is zero despite nonzero downside deviation.

What follows? State the target and denominator convention.

Example boundary: A tiny sample does not establish total risk; a zero ratio does not describe the whole capital path.

A useful distinction

Sortino Ratio / Sharpe Ratio

Sharpe uses excess-return variability; Sortino uses shortfalls relative to a target.

Check your understanding

Identify a shortfall relative to a nonzero target.

Target 1%, return 0.5%. Is there a shortfall?

Show the answer and explanation

Yes, 0.5 percentage points

A positive return can still miss its target.

Net results and risk measures

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Sources and documentation

The example illustrates the mechanism. Check current account conditions and instrument specifications with the provider.

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