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Arbitrage Calculator
Calculate arbitrage opportunities and optimal stake distribution for your bets.
š” See the bottom of this page for detailed explanations of all calculator options
*Enter your odds first followed by total stake to calculate profits*
Stake 1 and Stake 2 will auto-adjust based on your selections
Results
Enter valid odds to compute the edge and profit.
How It Works
Enter Odds
Input odds from two different sportsbooks for the same event
Set Stake
Enter your total stake amount you want to invest
Auto-Split
Calculator automatically splits stakes optimally for equal returns
View Profit
See your returns and profit percentage
Understanding Arbitrage
The difference between "edge" % and "profit" %
| Concept | Formula | Meaning |
|---|---|---|
| Arbitrage Edge % | 1 - (1/dā + 1/dā) | The theoretical efficiency gap ā how far below 100% the combined implied probability is. The edge tells you there's money to be made. |
| Profit % | (Profit) / (Total Stake) | The actual money return you get from your chosen stake distribution. The return tells you how much money you'll actually make. |
These are not always identical, because your stake sizes depend on which side you use as your reference, and how you normalize total investment.
True Arbitrage
Equal Return Strategy
What it does: Allocates stakes so that no matter which outcome wins, you earn exactly the same profit.
Formula: Based on inverse odds to ensure your payout is fixed regardless of the winner.
Best for: Stress-free profit with zero variance in returns.
Example:
If Team A wins: +$50 profit
If Team B wins: +$50 profit
Same profit either way!
Skewed Arbitrage
High Return Strategy
What it does: Overweights one outcome to achieve higher returns if that side wins, while breaking even (or small profit) on the other.
Formula: Calculates stakes to achieve your target return percentage on the chosen side.
Best for: When you have a personal lean toward one team but still want downside protection.
Example:
If Team A wins: +$200 profit (10% return)
If Team B wins: +$0 profit (break-even)
High reward, protected downside!
Risk-Weighted Arbitrage
Custom Profit Strategy
What it does: Sets stakes so both outcomes pay profit, with a configurable profit ratio (r ā„ 2) where the target outcome profit is r times the other outcome's profit.
Formula: Uses the skew ratio s1/s2 = (1 + r*a2)/(a1 + r) where a = decimal odds - 1, ensuring P1 = r Ć P2.
Best for: When you have a lean toward one side but want profit on both outcomes with a controlled profit ratio.
Example (r = 2.0):
If Team A wins: +$5.73 profit
If Team B wins: +$2.86 profit (exactly 2Ć less)
Controlled profit ratio with both sides profitable!