Risk/Reward Ratios
Risk/reward is half of an equation, and the half on its own tells you nothing about whether a strategy makes money.
A risk/reward ratio compares the distance from entry to stop against the distance from entry to target, so risking 25 pips to make 50 is 1:2. The break-even proportion of winners for a given ratio is 1 / (1 + R), meaning 1:1 needs more than half of trades to reach target, 1:2 needs more than a third, and 1:3 needs more than a quarter, before costs.
What to remember
- The break-even formula is 1 / (1 + R). A 1:2 trade needs more than 33.3% of trades to reach target, before spread and commission.
- A high proportion of winners loses money if the rare losses are large. A high ratio loses money if the target is rarely reached.
- Expectancy is measured, not designed. It comes from a sample of trades you actually took, not from the plan you wrote.
- Stretching a target past structure to improve the ratio usually lowers completion by more than the ratio gains.
Step 3 of 10 on Risk Management Mastery
What the ratio actually measures
Risk/reward compares the distance from your entry to your stop against the distance from your entry to your target. Risk 25 pips to make 50 and you have a 1:2 trade. Risk 40 to make 40 and you have 1:1. Most traders eventually stop talking in pips and start talking in R, where one R is the amount risked on that trade: a winner that reached twice the stop distance is +2R, a full loss is -1R, and a trade closed early for half the risk is +0.5R.
The reason R is useful is that it makes trades comparable. A 30-pip winner on EUR/USD and a 200-pip winner on GBP/JPY might both be +2R, and for the purposes of judging your own decisions they are the same trade.
The ratio is only half of the equation
A risk/reward ratio on its own tells you nothing about whether a strategy makes money. It has to be paired with how often the target is actually reached. The break-even proportion of winners for a given ratio is 1 / (1 + R):
| Risk/reward | Proportion of winners needed to break even |
|---|---|
| 1:0.5 | 66.7% |
| 1:1 | 50% |
| 1:2 | 33.3% |
| 1:3 | 25% |
| 1:5 | 16.7% |
Those are break-even figures before costs. Spread, commission and swap all push the real threshold higher, and on a short-target strategy the spread can be a meaningful fraction of the target itself.
Read the table in both directions. A strategy that is right nine times out of ten still loses money if the rare loss is five times the size of a typical win. A strategy targeting 1:5 still loses money if the target is reached less than one time in six. Neither number means anything without the other.
Expectancy is the number that matters
Combine them and you get expectancy, the average result per trade:
Expectancy = (proportion of winners x average win) minus (proportion of losers x average loss)
Say your journal shows 40 trades: 16 winners averaging +2.1R and 24 losers averaging -0.95R. Expectancy is (0.4 x 2.1) minus (0.6 x 0.95) = 0.84 minus 0.57 = +0.27R per trade. Positive, which is what you want, and modest, which is what real numbers look like. At 1% risk per trade that is about 0.27% of the account per trade before costs, and the variance around it is wide enough that forty trades is barely a hint rather than proof.
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Risk/Reward Ratios: questions
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