Trading Math
Win Rate Is Vanity, Expectancy Is Sanity: What R-Multiples Actually Measure
A 40% win rate can print money and a 70% one can bleed you dry. The difference is R-multiples and expectancy — worked through with real numbers.
Ask a trader how they're doing and the first number you'll hear is almost always the same one: win rate. "I'm at 65%." It sounds good. It also tells you nothing about whether the account is growing.
Win rate counts how many trades closed green. It doesn't count how much they made or lost. A trader who wins nine trades at +$10 and loses the tenth at −$500 has a 90% win rate and a shrinking account.
What R actually is
R is the amount you agreed to lose on a trade — the cash value of your stop distance, decided before you enter. Risk $100 and 1R = $100. That trade making $250 is +2.5R. Hitting your stop is −1R.
The power of that translation is comparability. Risking $2,000 to make $400 (+0.2R) looks better in dollars than risking $300 to make $150 (+0.5R). In R, the second trade is two and a half times better.
Expectancy: the number that actually matters
Expectancy tells you what an average trade returns, expressed in R:
Expectancy = (Win rate × Avg win in R) − (Loss rate × Avg loss in R)
Two traders, 100 trades each, both risking 1R per trade:
| Trader A | Trader B | |
|---|---|---|
| Win rate | 70% | 40% |
| Average win | +0.5R | +2.5R |
| Average loss | −1R | −1R |
| Expectancy | (0.70 × 0.5) − (0.30 × 1) = +0.05R | (0.40 × 2.5) − (0.60 × 1) = +0.40R |
| Over 100 trades | +5R | +40R |
Trader A wins almost every trade and makes eight times less money. Trader B loses more often than not and wins because the winners are bigger than the losers.
The hidden cost of chasing a high win rate
Optimizing for win rate isn't a neutral preference — it forces specific behaviors. Taking profit early, widening stops, holding losers because they'll "come back." All three raise the win rate and lower expectancy.
- Cutting winners early: average win shrinks, percentage climbs.
- Widening the stop: fewer losing trades, but the losses that land are enormous.
- Holding a loser: win rate survives, one trade erases a month.
None of these are visible unless you look at the record. The win rate stays green, so everything looks fine.
How to compute your own expectancy
- 1List your last 50-100 closed trades. Less than that is noise, not signal.
- 2For each, write down the risk at entry (stop distance × position size).
- 3Divide the result by that risk: $180 on 1R of risk = +1.8R.
- 4Average the winners' R and the losers' R separately.
- 5Run the formula. Positive means you have an edge; near zero means commissions are eating it.
Doing this by hand takes about an hour for 100 trades, and it needs redoing every month. Syntra computes the R value as each trade is logged, then keeps expectancy, per-strategy breakdown and the R-distribution histogram on the analytics screen.
When win rate does matter
Win rate isn't a useless metric — it's a misplaced one. Read alongside expectancy it tells you about the shape of your system: a low-win-rate, high-R system demands you survive long losing streaks, while a high-win-rate, low-R system is far more fragile to a single undisciplined trade.
So the question isn't "how many did I win." It's "how much do I make when I'm right, and how much do I lose when I'm wrong." If you don't know those two numbers, you don't have a strategy — you have a habit.
Your journal already knows this about you
Syntra logs every trade in R, computes expectancy per setup, and flags the behavior patterns in this article automatically — before the next trade, not after.
Start freeNot financial advice. Trading involves risk of loss.