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Expectancy — the math of an edge

Win rate is not edge. The full equation, and why it changes everything.

A strategy's expectancy is what one average trade earns: (win rate × average win) − (loss rate × average loss). Positive expectancy compounds; negative expectancy destroys accounts slowly enough to feel like bad luck. Nothing about a single trade tells you which one you have.

The win-rate trap

A 90% win rate loses money if the wins are +0.2R and the occasional loss is −5R — that is the classic retail pattern of taking profits instantly and letting losers run. A 35% win rate prints money if winners average +3R. Win rate and reward size trade off; only their product matters. Chasing win rate for its own sake usually means paying for comfort with expectancy.

Variance — why good strategies feel broken

Even a solid 45%-win-rate system will produce five-loss streaks routinely and ten-loss streaks occasionally. That is not the edge failing — it is variance doing what variance does. Traders abandon working systems in normal drawdowns because they never computed what normal looks like. Judge a method over dozens of trades, never over this week.

The journal is the instrument
You cannot manage what you do not measure. Log every trade in R — setup, result, and why. Fifty logged trades tell you your real win rate and average R, which is the difference between having an edge and hoping you do. The Arena grades practice trades for exactly this reason.
Expectancy — the math of an edge — Trading Fundamentals | Obelion