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Kelly Criterion Calculator

The growth-optimal fraction, and the reason most traders size well below it.

Inputs it asks for
Win rate % value
Win/loss ratio value
Formula shown · assumptions disclosed

What it computes

The growth-optimal fraction, and the reason most traders size well below it. The page states the equation, the units it expects and the rounding it applies, so the result can be reproduced by hand.

Where it sits in the chain

A calculator gives you a number. This one feeds the next: account to risk, risk to position size, position size to the trade, and the trade to expectancy, drawdown and risk of ruin.

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Inputs
Result
Full Kelly 17.5%
Half Kelly 8.8%
Quarter Kelly 4.4%
Full Kelly assumes your win rate and ratio are exactly right. Any estimation error makes half or quarter Kelly the safer choice.
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The formula

f* = (p × b − q) ÷ b p = win rate, q = 1 − p, b = payoff ratio

Kelly maximises long-run growth. It does not maximise anything you would enjoy experiencing.

Worked example

A 55% win rate at 1:1 payoff:

f* = (0.55 × 1 − 0.45) ÷ 1 = 0.10 → 10% per trade
half Kelly = 5%
quarter Kelly = 2.5%

Half-Kelly delivers roughly three-quarters of the growth with about half the drawdown. Quarter-Kelly is where most practitioners land, and it is how the conventional 1–2% band gets derived rather than assumed.

What it assumes

  • The inputs are known exactly. They are estimated, and overstating the edge overstates f* disproportionately.
  • Betting above f* reduces growth rather than increasing it — the curve falls away sharply on the right.
  • It optimises growth, not tolerability. Full Kelly produces drawdowns above 50% routinely.

Common questions

Should I bet full Kelly?

Almost certainly not. It assumes your win rate is known exactly, and it produces drawdowns that the recovery arithmetic shows are close to unrecoverable.

What is fractional Kelly?

A fixed fraction of f* — typically a half or a quarter. It gives up a little growth for a large reduction in drawdown, and it tolerates errors in the inputs.

Why does betting more than Kelly reduce growth?

Because losses compound against a smaller base. Past the optimum, the extra size costs more in drawdown than it earns in gains, and beyond twice Kelly the long-run growth rate turns negative.

What to work out next

A calculator answers one question and raises the next. These are the ones this figure feeds into.

Risk of Ruin Calculator

The probability that a losing run takes out a defined share of the account.

Expectancy Calculator

Average outcome per trade from win rate and average win and loss. The number win rate hides.

Drawdown Calculator

Peak-to-trough decline, and the gain required to climb back out of it.

Kelly Criterion Calculator · rounding shown to the precision displayed

More in performance

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Compounding Calculator

How a fixed monthly return compounds an account balance over time.

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Sharpe Ratio Calculator

Return per unit of volatility, and what the ratio does not tell you.

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Expectancy Calculator

Average outcome per trade from win rate and average win and loss. The number win rate hides.

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Win Rate Calculator

Your hit rate, and the rate a given risk/reward needs before it earns anything.

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Quantify the trade, then keep the record.