What the numbers mean
After every loss the stake is multiplied so that one winning trade repays the earlier losses with a little profit. With payouts below 100%, the multiplier must be more than 2 just to break even on a series.
The problem is how quickly stakes grow. They double or more at each step, so a series ends either with a small gain or with a big loss when your balance or the platform's maximum stake runs out. Martingale doesn't change the odds of any single trade; it swaps many small wins for an occasional heavy loss, and the average series still loses when your win rate is below break-even.
The maths
- Stake at step k = first stake × multiplier^(k − 1)
- Profit if step k wins = stake k × payout − earlier stakes combined
- Multiplier that recovers losses plus profit ≈ (1 + payout) ÷ payout
- Odds of n losses in a row = (1 − win rate)^n
Worked example
First stake $1, payout 85%, multiplier 2.2×: by step six the stake is already $51.54 and the series has tied up $93.65. At a 50% win rate, six straight losses occur in 1.6% of series, a 79% chance of at least one wipe-out in 100 series.
Quick answers
Can martingale beat binary options?
It gives many small wins but leaves the odds unchanged. Eventually a losing run outgrows your balance or the maximum stake, and that one loss usually erases the small wins.
Which multiplier is right?
To recover losses plus a profit at payout p you need roughly (1 + p) ÷ p, for example 2.18 at 85%. A smaller multiplier won't clear the series; a larger one makes the risk grow even faster.
How many steps can my balance handle?
The calculator shows it. Each extra step needs about double the money of the one before, so one more step costs much more than it seems.