📐 Kelly Criterion Calculator

Enter your win rate and average win/loss ratio to get the Kelly fraction — the mathematically optimal bet size — plus the safer half and quarter Kelly.

Free tool — values never leave your browser. For these numbers computed automatically from your real trades, create a free TradeDiary account.

What the Kelly criterion tells you

The Kelly formula computes the fraction of capital that maximises long-run compound growth for a strategy with a known win rate and payoff ratio:

Kelly % = W − (1 − W) ÷ R   (W = win probability, R = avg win ÷ avg loss)

A negative Kelly means the strategy has no edge — no position size fixes that. A positive Kelly is a ceiling, not a recommendation: full Kelly assumes your win rate and payoff are known exactly and stable, which is never true in trading. Estimation error makes full Kelly violently volatile.

That's why practitioners use half or quarter Kelly — capturing most of the growth with far smaller drawdowns. Compare the result with the 1–2% fixed-fractional rule; for most retail strategies quarter Kelly lands in a similar zone.

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Frequently asked questions

Why is full Kelly considered dangerous?

Because it assumes your win rate and payoff ratio are exact. In reality they're estimates from a limited sample; if the true edge is smaller, full Kelly over-bets and produces brutal drawdowns. Half Kelly gives about 75% of the growth with half the volatility.

Where do I get my win rate and payoff ratio?

From your trading journal — computed over at least 30–50 closed trades of the same strategy. Using imagined numbers makes Kelly meaningless. TradeDiary computes both automatically from your imported trades.

Kelly says 15% but I risk 1% per trade. Am I under-betting?

Not necessarily — Kelly sizes total capital allocation, while the 1% rule caps loss per trade via the stop distance. Both frameworks agree on one thing: if you have a genuine edge, consistent moderate sizing beats sporadic big bets.