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Calculators / Kelly criterion

Kelly criterion calculator

Having an edge is only half the job — sizing the stake correctly is the other half. Kelly gives the bankroll fraction that maximizes long-run growth.

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Inputs

Edge:

Result

Full Kelly (% of bankroll)

Full Kelly stake

Half Kelly stake

Quarter Kelly stake

How it works

Full Kelly is (bp − q) / b, where b is the net decimal odds (price minus one), p is your probability of winning and q is one minus p. It is the fraction of bankroll that maximizes long-run geometric growth.

Full Kelly is volatile. A single bad run can be brutal even when the edge is real. Most bettors who use it at all stake a fraction of the fraction: half or quarter Kelly trades some growth for a much smoother ride.

Worked example

Odds2.50 (+150)
Your probability45.0%
Edge+5.0%
Full Kelly8.3% of bankroll
Half Kelly, $1,000 bankroll$41.67
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