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Expectancy Calculator

Measure the expected value of a forex or CFD strategy from win rate, average win and average loss.

Direct answer

Trading expectancy is E = pW - (1 - p)L, where p is win rate, W is average win and L is average loss. The same inputs also give reward/risk ratio, expectancy in R, profit factor and the break-even win rate.

Trade sample

Use dollars, pips or R units, but keep average win and average loss in the same unit.
E = p × W − (1 − p) × L

Expectancy

Expected value per trade
Reward/risk ratio
Expectancy in R
Break-even win rate
Profit factor
Expectancy is a model estimate from the inputs, not a trading result.
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Risk warning. CFDs are complex instruments and carry a high risk of losing money rapidly due to leverage. A significant proportion of retail investor accounts lose money when trading CFDs; where a broker publishes an official percentage, we show it only with the source and capture date. Consider whether you understand how CFDs work and can afford the risk. Full risk disclosure.

Educational tools for non-US traders · not directed at US persons.

How it works

What expectancy measures

Expectancy is the average result per trade implied by three inputs: win rate, average win and average loss. The output uses the same unit as the win and loss inputs, so it can be dollars, pips or R units as long as both averages use the same unit.

Formulas used

E = p × W - (1 - p) × L

RR = W ÷ L

ER = p × RR - (1 - p)

break-even win rate = 1 ÷ (1 + RR)

profit factor = (p × W) ÷ ((1 - p) × L)

Worked example

With a 40% win rate, average win of 2 and average loss of 1, expectancy is 0.40 × 2 - 0.60 × 1 = 0.20. The reward/risk ratio is 2, the break-even win rate is 33.3333%, and profit factor is 1.3333.

How to read the result

A positive expectancy means the average trade is positive under the entered assumptions. It does not say whether the sample is large enough, whether spreads and slippage are included, or whether the same behavior will persist.

Frequently asked questions

What is trading expectancy?
It is the average result per trade implied by win rate, average win and average loss.
Should I use gross or net P&L?
Use net numbers if you want the result to include spread, commission, swaps and slippage. Mixing gross wins with net losses will distort the output.
Is profit factor the same as expectancy?
No. Profit factor is gross profit divided by gross loss. Expectancy is average value per trade.
Can a low win-rate system have positive expectancy?
Yes, if average wins are large enough relative to average losses. The break-even win rate shows the line for the entered payoff ratio.
Does positive expectancy remove losing streak risk?
No. A positive average trade can still have deep drawdowns or long losing streaks.

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