What’s it?

The Kelly Criterion is a mathematical method that calculates the optimum quantity to threat on every wager/commerce to maximise long-term progress whereas avoiding spoil.

Components:

If you already know your:

Then:

Kelly % = [ (b × p) – q ] / b

🎯 Let’s Apply it to a Case

You may have $100.

The sport has:

Excessive Danger

Reward vary: 1x to 100x

Let’s assume common reward = 10x

Let’s say win likelihood p = 0.1 (10%)

Then q = 0.9 , and b = 10

Kelly % = (10 × 0.1 − 0.9) / 10 = (1 − 0.9) / 10 = 0.1 / 10 = 0.01 = 1%

So it’s best to threat only one% of your capital on every wager.

Why? As a result of risking extra (e.g., 10%, 20%) in a high-variance system will ultimately blow your account. Kelly ensures long-term compounding with minimal threat of spoil.

Ought to You Preserve Danger Fixed?

Not at all times. This is the logic:

Scenario Motion Motive You’re successful Improve barely Capital grows → greater % dollar-wise, maintain % secure or enhance barely. You’re shedding Scale back threat Keep away from drawdowns turning into spoil. Compounding in reverse is lethal. Recreation edge modifications Recalculate Kelly As likelihood or payout modifications, so does optimum threat.

Actual-World Merchants Use This:

Edward Thorp (inventor of Kelly) turned blackjack income right into a hedge fund empire.

Renaissance Applied sciences, Soros, Druckenmiller, and plenty of quant funds use Kelly-like fashions.

Crypto fund managers scale positions dynamically primarily based on edge + volatility.

Conclusion: Technique Abstract

Metric Worth / Logic Capital $100 Common Win % 10% Reward/Danger 10:1 Danger per Guess 1% (Kelly) Modify per final result? Sure, adapt barely Objective Keep away from spoil, develop exponentially over time

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