Omega Ratio
The probability-weighted ratio of gains to losses above/below a threshold, capturing the entire return distribution.
Formula
More Details
What is the Omega Ratio?
The Omega Ratio, introduced by Keating and Shadwick in 2002, is a comprehensive performance metric that captures the entire distribution of returns — not just the mean and standard deviation like the Sharpe Ratio.
Think of it as a more complete version of the Profit Factor, but applied to your daily returns instead of individual trades. It separates all daily returns into gains (above a threshold) and losses (below the threshold), and computes the ratio.
Formula
Omega Ratio = Σ max(daily_pnl, 0) / Σ |min(daily_pnl, 0)|
Where:
- The numerator sums all positive daily P&L values (gains)
- The denominator sums the absolute values of all negative daily P&L values (losses)
- The threshold is typically 0 (breakeven)
This is equivalent to:
Omega = (Sum of all daily gains) / (Sum of all daily losses)
Interpretation
| Omega Ratio | Meaning |
|---|---|
| < 1.0 | Total daily losses exceed total daily gains — losing system |
| = 1.0 | Break-even on a daily basis |
| 1.0 – 1.5 | Marginal edge |
| 1.5 – 2.5 | Good — gains meaningfully exceed losses |
| 2.5 – 4.0 | Strong performance |
| > 4.0 | Excellent (verify adequate sample size) |
How Omega Differs from Profit Factor
They look similar but measure different things:
| Profit Factor | Omega Ratio | |
|---|---|---|
| Unit | Per-trade | Per-day |
| Captures | Trade-level P&L | Daily aggregate P&L |
| Skew/kurtosis | Partially | Fully |
| Multiple trades/day | Counted separately | Aggregated |
If you take 5 trades in a day — 3 winners totaling +$400 and 2 losers totaling -$300 — the Profit Factor uses all 5 data points. The Omega Ratio sees one data point: +$100 for that day.
Why Omega Captures What Others Miss
The Sharpe Ratio only uses mean and standard deviation (first two moments). The Omega Ratio effectively incorporates all moments — mean, variance, skewness, and kurtosis — because it uses the actual distribution of returns rather than assuming normality.
This means:
- Fat tails are properly captured
- Skewed returns are fairly represented
- Non-normal distributions (which most trading returns are) don't fool the metric
A Practical Example
Over 30 trading days:
- 20 winning days totaling +$8,000
- 10 losing days totaling -$3,500
Omega = $8,000 / $3,500 = 2.29
For every dollar lost on a down day, this trader makes $2.29 on up days. That's a solid edge.
How TradesViz Calculates It
TradesViz groups your realized P&L by calendar date, separates positive and negative days, sums each group, and divides. Zero P&L days are excluded (they don't contribute to either side).
How TradesViz Does It Better
- Compared alongside Profit Factor to spot differences between trade-level and day-level performance
- Filter-aware: Compute Omega for specific strategies, symbols, or time periods
- Handles edge cases: If you have no losing days, the ratio is displayed as "∞" rather than causing an error
- Custom dashboard widget for daily monitoring
Where to find it in TradesViz
Example
20 winning days totaling $8,000 and 10 losing days totaling $3,500 gives an Omega Ratio of 2.29.