Risk Management

Kelly Criterion: Optimal Position Sizing Math

In This Guide
    Part 1. Understanding the Basics

    From a pure risk-management standpoint, this only matters if it's tied to a concrete position-sizing rule — understanding a concept without a sizing framework around it doesn't actually protect capital. The Kelly Criterion formula is f* = (bp − q) / b, where b is your reward-to-risk ratio, p is your win probability, and q is 1 − p — it outputs the mathematically optimal fraction of capital to risk to maximize long-run geometric growth. Full Kelly assumes your edge (p and b) is known with certainty, which it never is in live trading, and it produces brutal equity-curve volatility even when the inputs are correct. That's why most professional risk managers run half-Kelly or even quarter-Kelly — roughly halving the drawdown volatility while giving up only a modest amount of long-run growth.

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    Part 2. Key Concepts You Need to Know

    The landscape has shifted dramatically. What worked five years ago may not work today. Stay ahead by understanding current market dynamics and how they affect your trading decisions.

    Part 3. Practical Application

    Theory is useless without execution. Here is how to apply these concepts in your daily trading routine. Start small, journal everything, and scale what works.

    Part 4. Using TRADZY to Gain an Edge

    TRADZYs platform helps you implement these concepts systematically. From automated import to advanced analytics, see exactly where your edge comes from and where it leaks.

    FAQ

    Why do professional traders use half-Kelly instead of full Kelly?

    Full Kelly assumes your edge estimate is exact, which it never is in practice — half-Kelly cuts expected drawdown volatility roughly in half while sacrificing only a small fraction of long-run compound growth.

    How do I implement this in my trading?

    Begin by journaling your current approach in TRADZY, then layer in these concepts one at a time. Measure results before scaling.

    Is this suitable for beginners?

    Yes, but start with smaller position sizes while learning. The concepts apply regardless of account size.

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