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Kelly criterion calculator: stake by edge

The Kelly criterion turns an edge into a stake size. Enter your win probability and the odds, then choose full, half or quarter Kelly.

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  1. 1 Calculator
  2. 2 Formula
  3. 3 In a challenge

1 Game time

Your edge, your stake

Enter the probability you assign to the bet, not the one the price implies. Odds can be American (-110) or decimal (1.91). The bankroll is optional.

Your edge and your bankroll

Your edge (per unit staked)
5.0%
Full Kelly stake (% of bankroll)
5.5%
Your stake (% of bankroll)
2.8%
Your stake
$137.50

The math runs in your browser. Nothing you enter is sent or stored.

Other calculators: risk of ruin, hedge, parlay and odds.

2 The stat sheet

The formula behind the stake

Share of the bankroll Stake = (b × p − q) ÷ b

Here b is the decimal odds minus 1, p your win probability and q = 1 − p. At 55% and -110 (1.91), the edge is 5% of each dollar staked and the full Kelly stake is 5.5% of the bankroll.

Kelly assumes p is right. The Kelly criterion guide shows what an overestimate of two points does to the drawdowns.

Key takeaway

No edge, no stake: below the break-even rate, Kelly gives zero.

The turning point

Kelly inside a stake range

In a challenge, the operator sets the stake range. At Prime Sports Funded, a stake runs from 2% to 5% of the starting balance: a 5.5% Kelly stake is capped at 5%, and half Kelly fits inside the range.

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Frequently asked questions

What Kelly fraction should you use?

Most bettors use half or quarter Kelly. Your probability is an estimate, and overestimating it by two points nearly doubles the full Kelly stake. A fraction keeps most of the growth with much smaller drawdowns.

What if the Kelly stake is zero?

Then your probability does not beat the price: there is no edge at these odds, and Kelly says pass.

Can you use Kelly on a parlay?

Yes, with the parlay's combined odds and your probability that every leg wins. Errors in each leg compound, so a small fraction is safer.

The verdict

Size the stake, skip the clock

One step at +35%, no time limit.

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Check the stake rules by size

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Sources (1) · how we compare

How we compare