Risk-to-Reward Ratio Explained: The Maths Behind Profitable Trading
Many new traders focus only on win rate: "How many signals win?" But win rate alone tells you almost nothing. A strategy that wins 70% of the time can lose money, and one that wins 35% of the time can be very profitable. The missing piece is the risk-to-reward ratio.
What risk-to-reward means
Risk-to-reward (R:R) compares how much you can lose to how much you can gain. If your stop is 5.00 away and your target is 10.00 away, you risk 1 to make 2, written as 1:2. Traders often call the risk amount "1R". A trade that reaches a 1:2 target made "+2R".
Breakeven win rate
For any R:R, there is a minimum win rate needed just to break even (before costs). The formula is: breakeven win rate = 1 ÷ (1 + reward).
| Risk : Reward | Win rate needed to break even |
|---|---|
| 1 : 0.5 | 66.7% |
| 1 : 1 | 50.0% |
| 1 : 1.5 | 40.0% |
| 1 : 2 | 33.3% |
| 1 : 3 | 25.0% |
With a 1:2 ratio, you can lose two trades out of three and still not lose money. With 1:0.5, you need to win two out of three just to stay even.
Expectancy: the number that matters
Expectancy tells you how much you make or lose per trade on average, in R:
Expectancy = (Win rate × Average win) − (Loss rate × Average loss)
Example: 45% win rate, average win 2R, average loss 1R.
(0.45 × 2) − (0.55 × 1) = +0.35R per trade
Risking $50 per trade, that is about +$17.50 per trade on average over many trades. It says nothing about the next trade, which can always lose.
Why high R:R is not automatically better
A 1:5 target sounds great, but price reaches it far less often. Targets must make sense on the chart. Placing a target beyond a major resistance level just to get a better ratio lowers your real win rate. Good trading balances the two: realistic targets based on structure, with at least 1:1.5 to 1:2 where possible.
Costs eat into small ratios
Spreads, commissions and slippage are taken from every trade. They hurt most when targets are small. On a 2.00 gold target, a 0.30 spread is 15% of your profit. On a 10.00 target, it is 3%.
Key takeaways
- Never judge a strategy by win rate alone.
- Know the breakeven win rate for the R:R you trade.
- Track results in R, not just dollars, so different position sizes compare fairly.
- Choose targets from the chart, then check that the R:R is worth it. Learn how to set the levels.
This article is general education, not financial advice. Trading involves substantial risk, and you can lose more than you expect. Only trade with money you can afford to lose.