MarketsBench

Risk & Money Management

Kelly Criterion Calculator

Compute the Kelly criterion optimal position fraction from win probability and payoff ratio, with the safer half-Kelly and quarter-Kelly shown.

%

Positive number

Full Kelly fraction

32.5%

Half Kelly
16.25%
Quarter Kelly
8.13%
Payoff ratio
2.00 : 1
Use with caution. Full Kelly is highly volatile and very sensitive to errors in your win rate and payoff estimates. Most traders use half- or quarter-Kelly to reduce drawdowns.

How this is calculated

The Kelly criterion gives the bet fraction that maximises long-run growth:

f* = W − (1 − W) ÷ R, where W is win probability and R = avgWin ÷ avgLoss is the payoff ratio.

Because full Kelly is volatile and sensitive to estimation error, we also show half-Kelly and quarter-Kelly, which most practitioners prefer.

Frequently asked questions

What is the Kelly criterion?
Kelly gives the fraction of capital that maximises long-run growth: f* = W − (1 − W) ÷ R, where W is win probability and R is the win/loss payoff ratio.
Why use half- or quarter-Kelly?
Full Kelly is volatile and very sensitive to estimation error in W and R. Many practitioners bet a half or quarter of Kelly to reduce drawdowns.

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