Entered returns · threshold gain-to-shortfall ratio

Omega Ratio Calculator

Calculate the sample Omega Ratio from equal-frequency entered returns and one per-period threshold, with each gain and shortfall contribution visible.

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Enter returns and a threshold

Use signed percentage returns from one consistent frequency and net-or-gross convention. Enter the threshold in the same per-period percentage-point units.

Entered

Enter percentage numbers without percent signs. Separate with spaces, commas, semicolons or new lines. Maximum 500.

Omega boundary: This page uses finite-sample gain and shortfall sums around one entered threshold. It does not annualize, fit a distribution or establish that a strategy will outperform.

Entered threshold partition arithmetic

Entered Risk-Adjusted Performance 1.0.0.

Derived
No Omega Ratio calculated yetEnter at least three returns and a threshold, or load the audited example.

How sample Omega is calculated

Gain sum = Σ max(Return[i] − L, 0)
Shortfall sum = Σ max(L − Return[i], 0)
Omega = Gain sum ÷ Shortfall sum

For threshold L, every return above L contributes only its positive excess to the gain sum. Every return below L contributes only its positive shortfall to the denominator; a return equal to L contributes zero to both.

This finite-sample form is equivalent to the expectation form of Omega over an empirical distribution. Version 1.0.0 reports a per-period ratio and rejects a zero shortfall sum rather than displaying infinity.

Assumptions and limits

  • Enter 3 to 500 signed equal-frequency percentage returns without percent signs.
  • The threshold must use the same per-period percentage-point units as the entered returns.
  • A zero threshold shortfall sum makes Omega undefined and is rejected.
  • Changing one threshold can materially change both the numerator and denominator.
  • No annualized ratio, quality grade, future probability, signal or recommendation is produced.

Worked example from the audited fixture

The audited fixture contains 30 equal-frequency returns and uses a 0.100000% per-period threshold. Fifteen returns are above it, fourteen are below it and one equals it.

Gain sum above threshold = 10.300000 percentage points
Shortfall sum below threshold = 10.000000 percentage points
Omega Ratio = 10.300000 ÷ 10.000000 = 1.03

How to interpret the result

Only positive excess above the threshold enters the numerator, while only positive shortfall below it enters the denominator. The equal return contributes zero to both. The ratio is threshold-specific and per period; it is not an annualized return or probability of profit.

Frequently asked questions

  • Enter 3 to 500 signed equal-frequency percentage returns and one threshold in the same per-period percentage-point units.
  • For every return above the threshold, only return minus threshold is added; all other observations add zero.
  • For every return below the threshold, only threshold minus return is added; all other observations add zero.
  • The sum of gains above the threshold is divided by the sum of shortfalls below the threshold.
  • It contributes zero to both the gain sum and the shortfall sum.
  • The denominator is zero, so Omega is undefined and version 1.0.0 rejects the calculation instead of showing infinity.
  • No. Returns and threshold stay in their entered per-period percentage units and no annualization is applied.
  • No. The ratio describes the entered sample at one threshold and does not create a quality grade, forecast, signal or recommendation.

Sources and methodology

Sortino Ratio CalculatorNormalize target excess by its disclosed downside-deviation convention.Sharpe Ratio CalculatorNormalize excess return by sample standard deviation separately.Return Distribution AnalyzerInspect location, spread, percentiles and shape without a ratio.

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FXOpen

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Disclaimer: The results from this tool are estimates for educational and informational purposes only and may differ from your broker's figures. This is not financial or investment advice. Trading forex and CFDs carries a high level of risk and can result in the loss of all your capital. Always verify calculations with your broker and trade within your risk tolerance.