Calculating Win Rate Versus Risk-Reward
Neither figure means anything alone. Expectancy is the one number in your journal that says whether the process pays.
Win rate is the share of trades closing in profit, and reward-to-risk compares your average winner with your average loser. Neither decides profitability alone. Expectancy joins them: (win rate x average win) minus (loss rate x average loss). The break-even win rate for a given reward multiple R is 1 divided by (1 + R), so 2R needs 33.3% and 0.5R needs 66.7%.
What to remember
- The break-even win rate is 1 divided by (1 + R). At 2R you need 33.3%, at 0.5R you need 66.7%.
- Expectancy in R ignores costs. A 1.4 pip spread on a 25 pip stop is 0.056R per trade, a quarter of a +0.22R edge.
- Put the median win beside the mean. A far lower median means the result leans on rare large winners.
- Under 30 trades in a group, treat expectancy as provisional rather than as a measurement.
Step 9 of 10 on Build Your Trading Plan
Win rate answers how often you win. Reward-to-risk answers how much you win when you do. Neither is a result on its own, and either one quoted alone can describe a method that loses money. The figure that joins them is expectancy: (win rate x average win) minus (loss rate x average loss). It is the only number in your journal that says whether the process pays.
The break-even line for every reward multiple
For a fixed reward-to-risk ratio R, the win rate needed just to break even is 1 divided by (1 + R). That one formula settles most arguments about which style is better.
| Average reward per 1 risked | Break-even win rate | Result at a 50% win rate |
|---|---|---|
| 0.5R | 66.7% | -0.25R per trade |
| 1.0R | 50.0% | 0.00R per trade |
| 1.5R | 40.0% | +0.25R per trade |
| 2.0R | 33.3% | +0.50R per trade |
| 3.0R | 25.0% | +1.00R per trade |
A scalper winning 70% of the time at 0.5R is barely above the line. A swing trader winning 35% at 3R is comfortably above it. A 60% win rate at 1:1 is +0.20R per trade before costs, a real edge but a thin one. The two figures have to be read together or the comparison means nothing.
Ninety trades, worked through
Straight out of a journal that logs the size of every result.
- 90 trades closed, 47 winners and 43 losers, so a 52.2% win rate.
- Average winner +1.36R. Average loser -1.02R, slightly worse than 1R because stops slip.
- Expectancy: (0.522 x 1.36) minus (0.478 x 1.02), which is 0.710 minus 0.488, or +0.222R per trade.
- Across 90 trades that is +20.0R. At 1% risk on a 3,000 USD account, roughly 600 USD before costs.
Now subtract what the R figure leaves out. If the average stop is 25 pips and the round-trip spread is 1.4 pips, every trade pays about 0.056R to the broker, which is 5.0R across the 90, a quarter of the profit. Trade a pair at 2.5 pips with 18-pip stops instead and the cost becomes 0.139R per trade, or 12.5R, and most of the edge has gone. The pip calculator turns your own spread into account currency in a few seconds.
Split the same calculation by setup tag and it usually stops being one number. The 90 trades above might hold a pullback tag at +0.45R across 50 trades and a breakout tag at -0.06R across 40, which is a different situation entirely from an even +0.222R spread across both. One blended expectancy figure can hide a losing setup subsidised by a working one for a very long time.
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Calculating Win Rate Versus Risk-Reward: questions
What win rate do I need to break even?
How do you calculate expectancy from a trading journal?
Is a high win rate better than a high risk-reward ratio?
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