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Kelly Calculator

Kelly Calculator

The Kelly criterion turns an edge into an allocation size that maximizes long-run growth. Enter your returns and either your true probability or your edge.

$50.00
Recommended allocation
5.00%
Of portfolio
10.00%
Full Kelly
0.375%
Growth / position
Yoseri never places positions and is not a broker. This calculator helps you decide your own allocation — you place it yourself, manually, at the broker of your choice.
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HOW IT WORKS

The method.

1

What it does

Kelly sizes each position as a fraction of your portfolio proportional to your edge. More edge ⇒ bigger allocation; no edge ⇒ no position. It maximizes geometric (compounding) growth, not single-position expectation.

2

Why fractional Kelly

Full Kelly is mathematically optimal but brutally volatile — a small probability error can wreck you. Most professionals allocate half or quarter Kelly to cut variance while keeping most of the growth.

3

The 10% cap

This calculator caps any single allocation at 10% of portfolio, mirroring Yoseri's engine. It's a guardrail against overconfidence in your probability estimate.

The formula
f* = (b · p − q) / b
Where
  • f*fraction of your portfolio to allocate
  • bnet decimal return (your returns − 1)
  • pyour estimated win probability
  • q1 − p (your loss probability)

Full Kelly is optimal but violent — most professionals use ½ or ¼ of f* to cut variance while keeping most of the growth.

Worked example

Returns of 2.50, and you estimate a 45% chance of winning.

  1. 1.b = 2.50 − 1 = 1.50
  2. 2.p = 0.45, q = 0.55
  3. 3.f* = (1.50 × 0.45 − 0.55) / 1.50
  4. 4.f* = 0.125 / 1.50 = 0.083
Result: 8.3% full Kelly → ~4.2% at half-Kelly
Pro pitfalls
  • Your p is an estimate, not the truth — overstate it and Kelly overbets fast.
  • Full Kelly swings hard; 30–50% drawdowns are normal even with a real edge.
  • Kelly assumes independent positions — correlated ones stack risk beyond what f* sees.

Educational only — not trading advice. Calculators and simulations are illustrative; past results and simulated outcomes don’t guarantee future returns. Position responsibly.

FAQ

Questions, answered.

The Kelly criterion is a formula that turns your edge and the returns into the allocation size that maximizes long-run portfolio growth. Position too little and you leave growth on the table; position too much and variance can ruin you. Kelly finds the mathematically optimal middle.
Most professionals use half or quarter Kelly. Full Kelly is optimal only if your probability estimate is perfect — and it never is. Fractional Kelly cuts volatility sharply while keeping most of the growth, which is why this calculator also caps any single allocation at 10%.
Your edge is the gap between your estimated probability and the broker's implied probability. If you think an outcome is 55% likely but the returns imply 50%, you have a 5% edge. Without a real edge, Kelly correctly tells you to position nothing.
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