Compounding calculator for binary options traders
See what a small, boring daily percentage actually turns into — and how long it really takes once you account for the days you lose.
See what a small daily edge turns into — and how long it really takes.
| Week | Day | Balance | Profit |
|---|---|---|---|
| 1 | 7 | $127.63 | +$27.63 |
| 2 | 14 | $162.89 | +$62.89 |
| 3 | 21 | $207.89 | +$107.89 |
| 4 | 28 | $265.33 | +$165.33 |
What the compounding calculator does
Compounding is the only mathematically reliable way a small trading account grows: you keep the profit in the account and size the next stake off the new, slightly larger balance. Two percent a day sounds trivial. Over 120 trading days it is roughly a 10x account.
The problem is that most compounding plans assume every single day is a winning day. Real trading has flat days and red days, and one bad session resets several days of progress. The calculator above lets you dial the daily target down and the horizon up so you get a plan you can actually hold.
A useful discipline: pick the smallest daily percentage you believe you can hit 4 days out of 5, then plan around that number rather than your best-ever day.
The formula, explained
FinalBalance = Start × (1 + r)^n
- Start
- — your opening balance
- r
- — daily growth rate as a decimal — 3% is 0.03
- n
- — number of trading days, not calendar days
To find the days needed for a target: n = ln(Target ÷ Start) ÷ ln(1 + r). Because growth is exponential, halving your daily target does far more than double the time — it is the single most underestimated part of a compounding plan.
A real set of numbers
| Trading day | Balance | Day's profit | Elapsed |
|---|---|---|---|
| 1 | $206.00 | $6.00 | Day 1 |
| 20 | $361.22 | $10.52 | 1 month |
| 40 | $652.41 | $19.00 | 2 months |
| 60 | $1,178.34 | $34.32 | 3 months |
| 120 | $6,942.00 | $202.19 | 6 months |
The first month adds $161. The sixth month alone adds over $3,500. Compounding pays nothing early and everything late, which is exactly why most traders quit before it works.
When to use it — and when not to
Use it when
- You are setting a realistic monthly target instead of a fantasy one.
- You want to know the date a target balance is reachable at your actual daily rate.
- You are deciding between a 2%, 3% or 5% daily goal and want to see the risk trade-off.
- You need to show yourself that a 1% day is not a wasted day.
Don't rely on it when
- You have not yet proven a positive edge — compounding a negative edge just loses money faster.
- You plan to withdraw regularly; use the withdrawal planner instead so the curve accounts for it.
- You are treating the projection as a guarantee. It is a ceiling, not a forecast.
Compounding calculator questions, answered
+What is a realistic daily compounding target?
For most binary options traders, 1–3% per day of the account is sustainable; 5%+ requires either a very strong edge or oversized risk. Plan on 2% and treat anything above it as a bonus.
+Should I compound every day or weekly?
Weekly re-sizing is calmer and avoids constantly raising your stake into a losing streak. Compound on a fixed schedule rather than after every winning trade.
+How do losses fit into a compounding plan?
Take the same percentage down as you take up. A 3% loss day is undone by roughly a 3.1% win day, which is why plans hold as long as your win days outnumber your loss days.
+Can I compound from $10?
Mathematically yes, practically no — most brokers have a $1 minimum trade, so a $10 account cannot risk 2% without violating minimum size. Start at $50–$100 so position sizing has room.
Put the numbers to work
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