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Kelly criterion calculator

The risk per trade that grows an account fastest in theory, and why traders take a fraction of it.

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Your trades

From a long record of the same strategy, not a hope.
The average win divided by the average loss.
Spread and fees as a share of what you risk.

The size

The full Kelly size is 14.7% of the account a trade. Treat half of it, 7.3%, as a ceiling, not a target: most traders risk far less.

Why less than full
Full Kelly assumes your win rate and reward are known exactly. Estimate them a little high and full Kelly over-bets; around double Kelly the growth falls to little or nothing.

Expected growth over 100 trades at each size if the numbers are exactly right, and the drop from 10 losses in a row.

SizeRisk a trade100 trades10 losses
1% a trade1.00%+33%-10%
Quarter Kelly3.66%+158%-32%
Half Kelly7.33%+399%-55%
Full Kelly14.65%+734%-81%
Double Kelly29.30%+12%-97%

Education only, not investment advice. The answer comes from the numbers you typed in, not from your account or the market. Simulated results are hypothetical and have limits: real trading has slippage, gaps, changing results and emotions. Trading leveraged products can lose money quickly, including all of it. Risk warning

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Educational only, not financial advice; trading involves risk.

The fastest growth, in theory

John Kelly showed in 1956 that, for a bet with a known edge, one fraction of the bankroll grows it fastest over many bets. Bet less and you grow slower but safer; bet more and you grow slower and with bigger drops; bet about twice the Kelly size and the growth falls to little or nothing.

Trading numbers are never known exactly, and the drops at full Kelly are deep, so professionals stay at a half or a quarter of it. To see the drawdowns a risk level brings, run the drawdown simulator; to check the edge itself, the edge map.

Not advice. Arithmetic on the numbers you type; past win rates do not promise future ones.

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Baroq never holds your money and never trades for you. Educational only, not financial advice; trading involves risk.

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