Free Tool

Kelly Criterion Calculator

Calculate your optimal stake size using the Kelly Criterion. Enter your odds, estimated edge, and bankroll to get a mathematically optimal bet size.

Inputs

The decimal odds offered by the bookmaker
Your estimated true win probability (devigged)
Your total available betting bankroll
Quarter Kelly is recommended for most bettors
VALUE BET ✓

Quarter Kelly: bet 2.09% of your bankroll

Results

€20.91Recommended Stake (Quarter Kelly)
2.09%Stake % of Bankroll
+9.20%Edge %
+9.20%Expected Value (EV) per unit
47.62%Break-even Probability
8.36%Full Kelly % (reference)
Your edge is 9.20% above break-even. Betting 20.91 (Quarter Kelly) on this selection gives an expected profit of 1.92 per bet.

How It Works

Kelly Criterion

The Kelly Criterion is a mathematically optimal formula for sizing bets to maximise the long-run growth of your bankroll. Developed by John Kelly Jr. at Bell Labs in 1956, it determines the fraction of your bankroll to stake given your edge and odds:

f* = (p × o − 1) / (o − 1)

Where p is your true win probability and o is the decimal odds. Using fractional Kelly (quarter or half) reduces variance while preserving most of the growth advantage — recommended for real-world betting.

Shin Method & Devigging

Before applying Kelly, you need accurate fair probabilities — free from the bookmaker's overround (margin). The Shin method is the gold standard for extracting these. Unlike simple normalisation, Shin's model accounts for insider information embedded in the market, producing more accurate true probabilities especially in markets with asymmetric information.

Athenea Apex applies the Shin algorithm across thousands of markets daily to identify picks where the bookmaker odds imply a true probability lower than our devigged estimate — that gap is your edge.

Automate Your Edge

Let Athenea find value bets automatically

Stop calculating manually. Athenea scans thousands of markets in real-time using the Shin method, CLV tracking, and Kelly staking — and sends picks directly to your Telegram.

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