A trader who wins 65 percent of their trades can still lose money every month. A trader who wins 40 percent can come out ahead. The reason is arithmetic, and it's worth running before you judge any strategy by its hit rate.
The expectancy formula
Expectancy is the average result per trade: win rate times average win, minus loss rate times average loss, minus costs. Here are two hypothetical strategies, with the numbers invented purely for the calculation.
| Item | Strategy A | Strategy B |
|---|---|---|
| Win rate | 65% | 40% |
| Average win | $100 | $400 |
| Average loss | $300 | $150 |
| Expectancy before costs | (0.65 x 100) - (0.35 x 300) = -$40 | (0.40 x 400) - (0.60 x 150) = +$70 |
| Expectancy after a $5 round turn cost | -$45 | +$65 |
| Profit factor (gross wins / gross losses) | 65 / 105 = 0.62 | 160 / 90 = 1.78 |
Strategy A wins most of the time and bleeds. Strategy B loses most of the time and pays. The $5 cost is a placeholder. Use your actual commissions, exchange fees and typical slippage, because on a small average win the cost is a large share of the edge.
The breakeven win rate for a given payoff
Your next step
Check the math before you size up.
Use your recorded win rate, average win and loss, and trading costs in the free edge calculator. Estimates are a starting point, not proof of an edge.
Flip the formula around. If average win divided by average loss is R, the breakeven win rate is 1 / (1 + R). Equivalently, at win rate W you need R of at least (1 - W) / W.
| Win rate | Minimum average win / average loss to break even, before costs |
|---|---|
| 60% | 0.67 |
| 50% | 1.00 |
| 40% | 1.50 |
| 35% | 1.86 |
These are floors, not targets. Costs push them higher.
Why a small sample can't settle it
The inputs to expectancy are estimates, and with few trades the estimates are loose. Say you have 30 trades and 40 percent of them won. The standard error of that win rate is about the square root of (0.4 x 0.6 / 30), roughly 9 percentage points. A rough 95 percent range is therefore about plus or minus 18 points, so the true rate could plausibly sit anywhere from the low 20s to the high 50s. Against the table above, that range covers both a profitable and an unprofitable strategy. Average win and average loss are noisy too. Thirty trades is not a proven edge, and neither is a good month.
Fifty or a hundred trades tighten the range, but they don't turn it into proof. They also assume the strategy and the market stayed the same through the sample, which is rarely true.
Why traders fixate on win rate anyway
Losses hurt more than wins feel good, so a system with frequent small losses feels broken even when the payoff math is fine. The usual response is to cut winners early to make the winning column fuller, which shrinks average win and can push R below breakeven. Check your own trades for this: compare your average winner to your planned target. If you're regularly taking half the target, the win rate may look better while expectancy falls.
Consistency is what keeps the statistics meaningful
Expectancy only describes your trading if your trades match the strategy's rules. Three habits matter.
First, take every qualifying setup. Skipping the ones that feel wrong introduces selection that no spreadsheet will show you.
Second, keep size rules fixed or change them by a written rule. If you size up on conviction, you're running a second strategy on top of the first.
Third, keep dollar risk steady. Risking $800 instead of $200 on a trade means one loss costs four normal losses. It does not mean the trade needs a four times higher win rate. It means that setup must show a better expectancy per dollar risked than your normal setups, and a feeling of conviction is not that evidence. Check your journal for it.
What to track
- Expectancy per trade after costs, in dollars and in R multiples
- Profit factor, with the number of trades beside it
- Average winner and average loser, separately
- Longest losing streak and deepest drawdown, with how long recovery took
- The share of trades that broke your own rules
On risk of ruin: the simple textbook formula assumes independent trades with fixed win and loss sizes. Real trading has variable risk, streaks and rule-based drawdown limits, so for any account with a hard drawdown floor, simulate the equity path with your actual trade list instead of trusting a one line formula.
Win rate is a descriptive number. Expectancy after costs, with a sample size attached, is the number worth arguing about. You can plug your own averages into the free edge calculator to see how sensitive the result is to a few points of win rate.
Related reading
- Risk-Reward Ratio Guide: how targets and stops set the payoff side
- Trading Journal Guide: recording the fields above
- Trading Psychology Guide: following rules through losing streaks
If you want the course, the daily ES/NQ KPL map and the community while you build your own journal, Intro is $97 per month after a 7-day trial. Nothing here predicts future results.
About the Author
Founder, Young Money Investments · Quant Trader
Cameron trades ES, NQ, and futures across multiple market cycles. He founded Young Money Investments to teach systematic, data-driven trading and manages Magnum Opus Capital. His work emphasizes documented rules, risk controls, and review over outcome promises.
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