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Expectancy Calculator

Average outcome per trade from win rate and average win and loss. The number win rate hides.

Inputs it asks for
Win rate % value
Average win value
Average loss value
Trades to project value
Formula shown · assumptions disclosed

What it computes

Average outcome per trade from win rate and average win and loss. The number win rate hides. The page states the equation, the units it expects and the rounding it applies, so the result can be reproduced by hand.

Where it sits in the chain

A calculator gives you a number. This one feeds the next: account to risk, risk to position size, position size to the trade, and the trade to expectancy, drawdown and risk of ruin.

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Inputs
Result
Expectancy per trade $52.50
Expectancy in R 0.350R
Projected over 200 trades $10,500
Break-even win rate 33.3%
Positive expectancy. The break-even win rate is what this payoff demands; you are above it.
Save this result to your dashboard. Save

The formula

E = (win rate × average win) − (loss rate × average loss)
E(R) = E ÷ average loss

Dollar expectancy depends on position size, so it cannot compare two strategies traded at different sizes. Expectancy in R can.

Worked example

A strategy winning 45% of the time, with $300 winners and $150 losers:

E = (0.45 × 300) − (0.55 × 150)
= 135 − 82.5 = +$52.50 per trade
E(R) = 52.50 ÷ 150 = +0.350R

Fifty-two dollars per trade, losing more often than winning. Over 200 trades, $10,500 — arrived at through 110 losses.

What it assumes

  • The win rate and averages are estimates from your closed trades. Under about 100 trades the interval on the win rate is wide enough to contain very different strategies.
  • It is an average, so it says nothing about order. A positive-expectancy strategy still produces long losing runs.
  • It assumes the edge is stable. Strategies decay.

Common questions

Can a strategy with a low win rate be profitable?

Yes — this example wins 45% of the time and earns $52.50 per trade. What matters is the size of the wins relative to the losses, not the frequency.

What is a good expectancy?

In R terms, anything reliably above zero is worth trading; +0.2R is strong. In dollars it depends entirely on your position size, which is why R is the comparable figure.

Why does my expectancy keep changing?

Because it is estimated from a sample. Early on, a handful of trades moves it substantially — which is a property of the estimate, not of the strategy.

What to work out next

A calculator answers one question and raises the next. These are the ones this figure feeds into.

Win Rate Calculator

Your hit rate, and the rate a given risk/reward needs before it earns anything.

Kelly Criterion Calculator

The growth-optimal fraction, and the reason most traders size well below it.

Drawdown Calculator

Peak-to-trough decline, and the gain required to climb back out of it.

Expectancy Calculator · rounding shown to the precision displayed

More in performance

All 26 →
Win Rate Calculator

Your hit rate, and the rate a given risk/reward needs before it earns anything.

Open →
Drawdown Calculator

Peak-to-trough decline, and the gain required to climb back out of it.

Open →
Risk of Ruin Calculator

The probability that a losing run takes out a defined share of the account.

Open →
Kelly Criterion Calculator

The growth-optimal fraction, and the reason most traders size well below it.

Open →

Quantify the trade, then keep the record.