Chapter 2 of 7

Risk:reward and expectancy

Why win rate alone means nothing, and how to calculate your edge.

"What's your win rate?" is the most common question about a strategy, and on its own it's meaningless. A 30% win rate can be very profitable; a 70% win rate can lose money. What matters is win rate and the size of wins relative to losses together.

Thinking in R

R is your risk on a trade. If you risk $100, a $250 win is +2.5R and a full loss is −1R. Measuring in R lets you compare trades of any size and any instrument.

Breakeven win rate

The win rate you need just to break even depends on your average reward-to-risk: breakeven win rate = 1 ÷ (1 + R).

50%33%25%1R2R3R4R5R20%40%60%Above the line: profitableBelow: losing money
Calculated breakeven win rates, before costs. At 2R you only need to win a third of the time; at 0.5R you need two thirds.

Expectancy

Expectancy is the average result per trade: (win rate × average win) − (loss rate × average loss). In R terms, a positive number means the strategy makes money over many trades.

Worked example

Strategy A: wins 40% of trades, average win 2.5R, average loss 1R.

Expectancy = (0.40 × 2.5) − (0.60 × 1) = +0.40R per trade. Risking $100 per trade, 100 trades make about $4,000.

Strategy B: wins 70%, average win 0.4R, average loss 1R. Expectancy = (0.70 × 0.4) − (0.30 × 1) = −0.02R: it loses money despite winning most trades.

Win rateAverage winExpectancy per trade
30%3R+0.20R
40%2R+0.20R
50%1.5R+0.25R
60%1R+0.20R
70%0.5R+0.05R

Key takeaways

  • Win rate alone means nothing; it has to be judged with the size of wins and losses.
  • Measure results in R, multiples of the amount risked.
  • Breakeven win rate = 1 ÷ (1 + reward-to-risk); at 2R you only need to win a third of the time.
  • Expectancy = (win rate × average win) − (loss rate × average loss), after costs.