Kelly Criterion Calculator

Calculate the theoretically optimal risk percentage for your trading system.

Calculator

Full Kelly

0.00%

Half Kelly

0.00%

Quarter Kelly

0.00%

Reward / Risk Ratio

0.00

Expectancy

$0.00

Quick Summary

Enter your win rate, average win and average loss to calculate Kelly Criterion.

What Is Kelly Criterion?

Kelly Criterion is a position sizing formula used to estimate the optimal fraction of capital to risk based on the edge of a trading system. It uses your win rate and your reward-to-risk ratio to calculate the mathematically optimal growth rate.

Kelly Criterion Formula

The formula is:

Kelly % = W - ((1 - W) / R)

Where W is your win probability and R is your reward-to-risk ratio.

Why Most Traders Use Fractional Kelly

Full Kelly can be too aggressive in real markets because trading results are never perfectly stable. That is why many traders prefer Half Kelly or Quarter Kelly to reduce volatility and drawdown.

Frequently Asked Questions

Should I use Full Kelly in trading?

Usually no. Full Kelly is mathematically optimal in theory, but it can create very large volatility in real trading. Many traders prefer Half Kelly or Quarter Kelly for better survivability.

What if my Kelly value is negative?

A negative Kelly value means your system does not have a positive edge based on the inputs provided. In that case, the strategy may not be worth trading without improvement.

Does Kelly Criterion work for stocks, forex and crypto?

Yes. Kelly Criterion is universal. It can be applied to any market as long as you have realistic estimates for win rate and average reward versus average loss.

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