Free calculator
Trading expectancy calculator
Combine how often a strategy wins with how much it wins and loses to see what it has averaged per trade. Use your own recorded results, in dollars or in R.
How to use it
The formula
Expectancy = win rate × average win − (1 − win rate) × average loss
Payoff ratio = average win ÷ average loss
Break-even win rate = average loss ÷ (average win + average loss)
Profit factor = (win rate × average win) ÷ ((1 − win rate) × average loss): the gross profit divided by the gross loss.
Worked example
Illustrative numbers: a strategy that won 40% of its trades, with an average win of 2R and an average loss of 1R, has an expectancy of 0.4 × 2 − 0.6 × 1 = +0.2R per trade. Over 100 trades that is +20R; at $250 risked per trade, $5,000 before costs.
Its payoff ratio is 2, its break-even win rate 33.3% and its profit factor 1.33. If the win rate falls to 30% with the same payoff, the expectancy turns to −0.1R. Expectancy describes results already recorded; it is not a forecast of the next 100 trades.
Questions
What is expectancy in trading?
Expectancy is the average amount a strategy has made or lost per trade, combining the win rate with the size of the average win and the average loss. It is usually expressed in dollars or in R, multiples of the initial risk.
Can a strategy with a low win rate have positive expectancy?
Yes, if its wins are large enough relative to its losses. With an average win twice the average loss the break-even win rate is about 33.3%, so a 40% win rate is positive in that case. The reverse also holds: a high win rate with small wins and large losses can be negative.
How many trades do I need for a reliable figure?
There is no exact number, but a few dozen trades is a minimum and more is better. In a small sample a short streak of wins or losses moves the result a lot, so treat early figures as provisional.
Does positive expectancy mean a strategy will be profitable from here?
No. It summarises results that have already happened. Costs, changing market conditions, a small sample and rules not followed can all make future results differ.
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From the calculation to the record
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