Risk-Reward Ratio Explained: Break-Even Win Rates, R-Multiples and Expectancy

By Nummius · October 18, 2026

The risk-reward ratio compares how much you stand to lose on a trade with how much you stand to gain. It is one of the first numbers traders learn and one of the most misunderstood. A high ratio is not automatically good and a low one is not automatically bad. What matters is how the ratio combines with your win rate. This guide explains the calculation, the break-even math and the R-multiple approach that ties it all together.

How to calculate the risk-reward ratio

You need three prices, all decided before entry:

• Risk = the distance from entry to stop
• Reward = the distance from entry to target
• Ratio = reward ÷ risk

A note on naming: some people say “risk-reward 1:3” and others say “reward-to-risk 3:1”. Both describe the same trade, risking one unit to make three. In this article, a higher number always means a larger reward relative to risk.

The break-even win rate at each ratio

If every winner earns R times what every loser costs, the win rate you need just to break even is:

These are before costs. Commissions and slippage push every number in the right-hand column a little higher, and they hurt low-ratio, high-frequency strategies the most.

Why a higher ratio is not automatically better

It is tempting to read the table and conclude that everyone should aim for 5R. The catch is that targets further away are reached less often. Moving the target from 2R to 4R does not leave the win rate unchanged; it lowers it, sometimes by more than the higher ratio makes up for.

The ratio and the win rate are two sides of the same trade-off. Neither can be judged on its own. The number that combines them is expectancy.

Expectancy: the number that actually matters

Expectancy is the average amount you expect to make per trade over many trades:

Measured in R, with losses at 1R, it becomes: win rate × average win in R − loss rate × 1.

Two very different traders can have the same expectancy:

Both make 0.2R per trade on average. They feel completely different to trade. Trader B loses seven trades out of ten and will regularly sit through long losing streaks: at a 30% win rate, the chance that any particular run of 10 trades contains no winner at all is 0.7 to the power of 10, about 2.8%. For Trader A it is 0.4 to the power of 10, about 0.01%. Pick the profile you can actually follow, because a strategy you abandon in a drawdown has an expectancy of zero.

R-multiples: measuring every trade in units of risk

An R-multiple expresses a trade’s result as a multiple of the initial risk. If you risked $200 and made $500, the trade was +2.5R. If you lost $200, it was −1R. If you lost $300 because the stop slipped, it was −1.5R, which is worth knowing.

Measuring in R has three advantages:

• Comparability. Trades of different sizes and in different instruments can be compared directly.
• Honesty about execution. Losses bigger than −1R reveal moved stops, slippage or gaps.
• Simple statistics. The average R across your trades is your realized expectancy.

Your journal should record the planned R before entry and the realized R after exit. Our trading journal guide includes a template with both columns.

Planned versus realized risk-reward

The ratio you plan is not the ratio you get. Traders who habitually take profits early, before the target, realize much lower average wins than they planned, while their losses stay at full size. A trader planning 2R trades who exits winners at 1R on average has quietly turned a 33% break-even win rate into a 50% one.

Comparing planned with realized R per setup is one of the most useful things a journal can show you. If the gap is large, the problem is execution, not the setup.

How to use the risk-reward ratio in practice

1. Find the stop from the chart. It belongs where the trade idea is proven wrong, not where the ratio looks best.
2. Find the target from the chart. Use a prior swing high or low, a measured move, a resistance zone, or a point and figure count (see our point and figure guide).
3. Calculate the ratio. If it falls below your minimum for that setup, skip the trade rather than stretching the target or squeezing the stop.
4. Size the position from the stop with a position size calculator, so the loss at the stop equals your chosen risk.
5. Record planned R, then realized R, and review the difference every week.

A worked example: evaluating a setup

Suppose a stock has been basing between $44 and $48 and breaks out at $48.20. The logical stop is below the middle of the base at $46.40, because a fall back there would mean the breakout failed. The prior high from earlier in the year is at $52.70, a natural first target.

• Risk: $48.20 − $46.40 = $1.80
• Reward: $52.70 − $48.20 = $4.50
• Reward-to-risk: $4.50 ÷ $1.80 = 2.5

At 2.5R the break-even win rate is 28.6% before costs. If your journal shows that your breakouts of this type win about 40% of the time with an average realized win of 2R, your expectancy is 0.4 × 2 − 0.6 × 1 = +0.2R per trade. That is a trade worth taking by your own numbers. If the nearest resistance were at $49.50 instead, the ratio would drop to about 0.7 and the same setup would not be worth the risk. The numbers are illustrative; the process is the point.

Common risk-reward mistakes

• Tightening the stop to improve the ratio. A stop inside normal price noise gets hit more often, which lowers the win rate and usually the expectancy.
• Using one fixed ratio for every setup. A mean-reversion setup and a breakout setup have different natural targets.
• Judging a strategy by win rate alone, or by ratio alone.
• Ignoring costs on small-target strategies.
• Moving the target further away mid-trade without a reason in the chart.

Risk-reward in Nummius

The pre-trade plan in the Nummius trading journal captures entry, stop and target before you click, so every trade carries its planned risk-reward. After the trade, plan versus execution shows where you deviated, and Plutus, the AI coach, looks for the root cause when the same deviation keeps repeating. Win rate and profit factor are calculated automatically in Core; the free Duelist plan includes trade planning and unlimited review. Compare the plans on the pricing page.

Key takeaways

• Risk-reward = distance to target ÷ distance to stop, decided before entry.
• The break-even win rate is 1 ÷ (1 + R); costs raise it.
• Expectancy combines win rate and ratio and is the number to optimize.
• Measure every trade in R and compare planned with realized R.

This article is for educational purposes only and is not financial advice. Examples use illustrative numbers and ignore commissions and slippage unless stated. Trading involves risk, including the loss of principal.