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Kelly criterion simulator

How big should each position be?

55%
1.0 : 1
300
Every bet size sees the same wins and losses, so only the sizing differs.
Kelly fraction10.0%
Half Kelly5.0%
Edge per trade10.0%

Simulated equity, log scale

Starting at 1.00x
0.01x0.10x1.00xTrade 0Trade 150Trade 300
SizingBet per tradeEnding equityWorst drawdown
2x Kelly20.0%0.02x100%
Full Kelly10.0%0.60x95%
Half Kelly5.0%1.13x72%
Quarter Kelly2.5%1.17x46%

Twice Kelly usually ends worse than full Kelly despite taking more risk. Half Kelly gives up some growth for a much smaller worst drawdown.

A lesson in sizing risk, not a betting tool. Simulated paths are not predictions, and real edges are never known exactly. Ignores fees and slippage. For education only. Not financial advice.

01

How to read the result

Technical

Kelly fraction f* = p − (1 − p) / b, where p is the win rate and b is the payoff ratio.

Plain English

It's the bet size that grows money fastest if you know your edge exactly. You never do.

Technical

Half Kelly gives up about a quarter of the growth for much smaller drawdowns.

Plain English

Betting less than the formula says is how professionals survive being wrong about their edge.

02

A worked example

A 55% win rate with a 1:1 payoff gives a Kelly fraction of 10%. Half Kelly is 5% per trade.

03

What it can't tell you

  • It assumes you know your true win rate and payoff. Estimates are noisy.
  • Simulated paths aren't predictions.
  • It ignores fees, slippage and the psychology of a drawdown.

From the carousel: Full, half or quarter Kelly?

For education only. Not financial advice.