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Kelly criterion

A formula for the share of capital to put on one bet that maximises long-run growth: size follows from the edge in probability rather than from the strength of conviction.

Formula

f∗=bp−qb

Here p is the probability of winning, q the probability of losing and b the ratio of the win to the amount risked. The answer is a fraction of capital, not a sum of money.

How to read the number

It sets an upper bound on a sensible size: a share above the optimum lowers both the growth rate and the chances of surviving to see it.

When the metric lies

Also known as: kelly bet sizing

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