Where the break-even win rate comes from
w = R ÷ (R + T): at 1:2 you need to win one trade in three, 33.3%.
The derivation, with costs
Call the stop distance R and the target distance T. Over many trades with win rate w, the average result is w × T − (1 − w) × R. Setting that to zero gives w = R ÷ (R + T). At 1:2, R = 1 and T = 2, so w = 1 ÷ 3 = 33.3%. Costs c come off every win and onto every loss: w = (R + c) ÷ (R + T).
Break-even win rate by risk:reward, before and after costs
Costs in R, as a share of the stop distance: 0.1R is a 1-pip round trip on a 10-pip stop.
| Risk : reward | No costs | Costs 0.1R | Costs 0.2R |
|---|---|---|---|
| 1 : 0.5 | 66.7% | 73.3% | 80.0% |
| 1 : 1 | 50.0% | 55.0% | 60.0% |
| 1 : 1.5 | 40.0% | 44.0% | 48.0% |
| 1 : 2 | 33.3% | 36.7% | 40.0% |
| 1 : 2.5 | 28.6% | 31.4% | 34.3% |
| 1 : 3 | 25.0% | 27.5% | 30.0% |
| 1 : 4 | 20.0% | 22.0% | 24.0% |
| 1 : 5 | 16.7% | 18.3% | 20.0% |
Expected result per trade by win rate and ratio
Win rate × ratio − loss rate, in R, before costs; a negative cell loses money however the trades are sized.
| Win rate | 1 : 0.5 | 1 : 1 | 1 : 1.5 | 1 : 2 | 1 : 3 |
|---|---|---|---|---|---|
| 30% | −0.55 R | −0.40 R | −0.25 R | −0.10 R | +0.20 R |
| 40% | −0.40 R | −0.20 R | +0.00 R | +0.20 R | +0.60 R |
| 50% | −0.25 R | 0.00 R | +0.25 R | +0.50 R | +1.00 R |
| 60% | −0.10 R | +0.20 R | +0.50 R | +0.80 R | +1.40 R |
| 70% | +0.05 R | +0.40 R | +0.75 R | +1.10 R | +1.80 R |
Why costs matter more on tight stops
A 1-pip cost lifts 1:2's break-even to 36.7% on a 10-pip stop, but only to 34.0% on a 50-pip stop.
The arithmetic
The same 1-pip cost is a bigger share of a small stop. At 1:2 with a 10-pip stop, it lifts the break-even win rate from 33.3% to (10 + 1) ÷ 30 = 36.7%. With a 50-pip stop and the same target ratio, it lifts it only to (50 + 1) ÷ 150 = 34.0%. Scalping plans with attractive ratios can still need a much higher hit rate once spread and commission are counted.
Risk:reward or reward:risk?
This page writes risk first: 1 : 2.5 means you risk 1 to make 2.5.
How platforms write it
Both orders are in use. This page writes risk first, so 1 : 2.5 means you risk 1 to make 2.5. Some platforms show the reward-to-risk ratio as a single number (2.5). Either way, check which distance is on top before comparing plans.
What the ratio does not tell you
Whether the rules win often enough at that ratio, after costs, over many trades.
Where to check that
A ratio describes one planned trade. Whether a set of rules is worth trading depends on the win rate those rules actually produce at that ratio, after costs, over a large sample. The expectancy calculator combines the two, and the risk of ruin calculator shows what the position size does to the chance of a deep drawdown.