Analytical is the upper bound
The closed-form formula assumes symmetric bets and unbounded trade count. When it returns 1 % RoR, your real-world risk over a finite horizon is usually lower. When it returns > 5 %, you are absolutely in trouble.
Punch in your starting balance, win rate, average R and a horizon of trades. We run two calculations side by side: the closed-form risk of ruin (when bets are symmetric) and a 1000-trial Monte Carlo simulation in a web worker — so you see the realistic distribution, not just the headline.
Most retail traders have a higher risk of ruin than they realise — and the math is unforgiving. If RoR is over 5 %, your sizing is wrong, your win rate is wrong, or both.
Three reads to take seriously before you decide your sizing is fine.
The closed-form formula assumes symmetric bets and unbounded trade count. When it returns 1 % RoR, your real-world risk over a finite horizon is usually lower. When it returns > 5 %, you are absolutely in trouble.
Asymmetric R, finite horizons, ruin thresholds — the simulation models all three. Compare the two channels: when they disagree, the simulation is closer to the real account.
The median final balance can look healthy while the bottom-10 % balance is a wipeout. Look at the spread, not just the centre — that gap is the variance you have to live through.
MindTrajour shows your real win rate and average R per strategy — so you can fix the input that is actually broken instead of guessing.
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Other calculators traders pair with this one.
Drop in your win rate, average win, and average loss. The calculator returns the full-Kelly stake — and the half- and quarter-Kelly versions that disciplined traders actually use, because full-Kelly drawdowns are real and brutal.
Open toolPunch in your account's high-water mark and where it sits today. We give you back the dollar drawdown, the percent drawdown, and — the part most traders ignore — the percentage gain you now have to make on the smaller balance just to get back to flat.
Open toolPunch in your four strikes, the net credit, and the number of contracts. We give you back the max profit, max loss, both break-evens, and a payoff diagram that shows exactly where the trade lives or dies.
Open toolEverything you need to know before sizing your next trade.