The World's Best Risk Strategy: Kelly Criterion

3 May 2025, 21:59
Rajesh Kumar Nait
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What is it?

The Kelly Criterion is a mathematical formula that calculates the optimal amount to risk on each bet/trade to maximize long-term growth while avoiding ruin.

Formula:

If you know your:

  • Win Probability p

  • Loss Probability q = 1 - p

  • **Reward-to-Risk Ratio (b) = reward / risk

Then:

Kelly % = [ (b × p) - q ] / b

🎯 Let’s Apply it to a Case

  • You have $100.

  • The game has:

    • High Risk

    • Reward range: 1x to 100x

    • Let’s assume average reward = 10x

    • Let’s say win probability 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 you should risk only 1% of your capital on each bet.

Why? Because risking more (e.g., 10%, 20%) in a high-variance system will eventually blow your account. Kelly ensures long-term compounding with minimal risk of ruin.


Should You Keep Risk Constant?

Not always. Here's the logic:

Situation Action Reason
You’re winning Increase slightly Capital grows → bigger % dollar-wise, keep % stable or increase slightly.
You’re losing Reduce risk Avoid drawdowns turning into ruin. Compounding in reverse is deadly.
Game edge changes Recalculate Kelly As probability or payout changes, so does optimal risk.

Real-World Traders Use This:

  • Edward Thorp (inventor of Kelly) turned blackjack profits into a hedge fund empire.

  • Renaissance Technologies, Soros, Druckenmiller, and many quant funds use Kelly-like models.

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


Conclusion: Strategy Summary

Metric Value / Logic
Capital $100
Average Win % 10%
Reward/Risk 10:1
Risk per Bet 1% (Kelly)
Adjust per outcome? Yes, adapt slightly
Goal Avoid ruin, grow exponentially over time