Binary Options Tools

Binary Options Expectancy Calculator

See whether a binary options setup has a real mathematical edge. Enter your win rate, payout, and stake to find your expected value per trade.

55%

Share of trades you historically close in profit.

85%

Broker return on a winning trade (e.g. 85% pays $0.85 per $1).

$10

Amount risked on each individual trade.

Expectancy per $1 Risked +$0.0175

This setup has a positive edge: you expect to gain about $0.0175 for every $1 risked over many trades.

Expectancy per Trade+$0.18
Break-even Win Rate54.1%

For educational purposes only. Read our risk warning before trading.

The Math

How Binary Options Expectancy Works

In binary options a win returns the payout fraction while a loss costs your full stake. Expectancy weighs each outcome by its probability, telling you the average result per $1 risked over many trades. A positive number means a mathematical edge; a negative number means the odds favour the broker.

Quick Reference

Break-even Win Rate by Payout

PayoutBreak-even Win RateWhat it means
70%58.8%You must win nearly 6 in 10 just to stay flat.
80%55.6%A solid edge needs better than 55.6%.
85%54.1%Win above 54.1% to push expectancy positive.
90%52.6%Higher payouts lower the bar to break even.
95%51.3%Close to a coin flip is enough at this payout.

Frequently Asked Questions

What is trade expectancy?

Expectancy is the average amount you can expect to win or lose per trade over many trades, weighing each outcome by its probability. It is the clearest single measure of whether a strategy has a real edge.

Why does payout % matter so much?

A losing binary trade costs your full stake, but a win only returns the payout fraction. Lower payouts force you to win a larger share of trades just to break even, so payout directly sets the win rate you need.

What win rate do I need to profit?

Your break-even win rate is 1 / (1 + payout). At an 85% payout that is about 54.1%, so you need to win consistently above that level for expectancy to turn positive.

Does positive expectancy guarantee gains?

No. Expectancy is a long-run average based on your inputs; individual trades and short runs still vary widely. Use it as an educational guide alongside risk management, not as a promise of any outcome.