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The Kelly Criterion for Traders

Kelly tells you the mathematically optimal amount to bet when you have an edge. Here's how it works, why full Kelly is usually too aggressive, and how to use it sanely.

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Enter your win rate and payoff ratio to get full, half, and quarter-Kelly position sizes.

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The Kelly criterion is one of those ideas that sounds like a cheat code the first time you hear it: a formula that tells you the exactly optimal amount to bet to grow your money as fast as mathematically possible. It's real, it's used by professional gamblers and some legendary investors — and if you apply it naively to trading, it will hand you position sizes that can cut your account in half on a normal losing streak. Understanding both halves of that sentence is the point of this guide.

What Kelly actually calculates

Kelly answers one question: given an edge, what fraction of my capital should I put at risk to maximize long-run growth? For a trade with a win rate and a payoff ratio (how much you make on a win versus lose on a loss), the formula is:

Kelly % = W − (1 − W) ÷ R

where W is your win probability and R is your payoff ratio (average win ÷ average loss). Say you win 55% of the time and your winners are twice your losers (R = 2). Kelly = 0.55 − 0.45 ÷ 2 = 0.325, or 32.5% of your capital. The Kelly calculator does this instantly and also shows the half and quarter figures — which you'll want in a second.

Why full Kelly is too much for real trading

Betting 32.5% of your account on a single trade should make your stomach drop — and it should. Full Kelly is optimal only under assumptions traders never actually meet: that you know your win rate and payoff exactly, that they never change, and that you can stomach enormous swings. In reality your edge is an estimate, and if you overestimate it, full Kelly doesn't just reduce your growth — it can wreck you. Even when your numbers are right, full Kelly produces gut-wrenching drawdowns; a 50% account drop is a routine event, not a disaster.

The practical answer: bet a fraction of Kelly

This is why serious practitioners use half-Kelly or quarter-Kelly. Here's the beautiful part of the math: betting half of Kelly gives up only about a quarter of the growth rate but roughly halves your volatility and drawdowns. You sacrifice a little upside for a huge improvement in survivability — and survivability is the whole game, because you can't compound an account you've blown up.

In our example, full Kelly said 32.5%. Half-Kelly is ~16%, quarter-Kelly ~8% — still aggressive by most standards, which tells you something: if Kelly is handing you numbers far bigger than the 1–2% per trade you'd size with a normal risk-based approach, that's a signal your estimated edge is probably too optimistic. Treat Kelly as a ceiling and a sanity check, not a target.

The most useful thing Kelly tells you

Honestly, the single most valuable output of the Kelly formula isn't the exact percentage — it's the sign. If Kelly comes out negative, you have no edge, and the optimal bet is zero. No position sizing trick rescues a strategy with negative expectancy; the only winning move is not to play. So before you argue about half versus quarter Kelly, use it to confirm you have a real edge at all. Pair it with expectancy to see the full picture of whether a strategy makes money.

Run your own numbers in the Kelly criterion calculator, look at the half and quarter figures rather than full Kelly, and treat anything it tells you above your normal risk budget with healthy suspicion.

Frequently asked questions

What is the Kelly criterion?

A formula that calculates the mathematically optimal fraction of your capital to risk on a bet or trade with a known edge, to maximize long-run growth. It balances growing fast against not going broke.

Why do traders use half-Kelly or quarter-Kelly?

Full Kelly is aggressive and assumes you know your win rate and payoff exactly — which traders never do. Betting a fraction of Kelly (half or quarter) gives up a little growth for a large reduction in volatility and drawdown, which is usually the better trade for real accounts.

What happens if the Kelly formula gives a negative number?

A negative Kelly means the strategy has no edge — the expected value is against you. The correct bet size is zero: don’t take the trade.

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TradeCaliper is a planning and education tool, not financial advice. Published 2026-07-20.