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Kelly Criterion Calculator

Apply the Kelly formula to any price and probability estimate.

Kelly Fraction

8.33%

Full Kelly Amount

$83.33

Expected Value

+12.50%

Fractional Kelly Options

Fractional Kelly scales the full Kelly result down to reduce variance.

StrategyFractionStake% of Bankroll
Strategy: Full KellyFraction1xStake$83.33% of Bankroll8.33%
Strategy: Half KellyFraction0.5xStake$41.67% of Bankroll4.17%
Strategy: Quarter KellyFraction0.25xStake$20.83% of Bankroll2.08%
Strategy: Eighth KellyFraction0.125xStake$10.42% of Bankroll1.04%

How It Works

The Kelly Criterion gives the bankroll fraction that maximizes long-term growth, based on the gap between the price and the probability estimate.

f* = (bp - q) / b

Where:
  f* = fraction of bankroll to wager
  b  = decimal odds - 1 (net odds)
  p  = probability of winning
  q  = probability of losing (1 - p)

Model odds with real data

Read about odds modelling and data analysis on our blog.

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