Arbitrage & Hedge Bet Calculator

The calculator above handles the maths in real time. This guide explains the mechanics behind it, what arbitrage betting actually is, how to find opportunities, how to hedge an existing bet, and the risks and limitations every bettor should understand before relying on guaranteed-profit strategies.

What Is Arbitrage Betting?

Arbitrage betting, also called arb betting, sure betting, or miracle betting, exploits price differences between sportsbooks to back all possible outcomes of an event and lock in a guaranteed profit regardless of the result.

It is not a trick or a loophole. It is a mathematical consequence of the fact that different sportsbooks set their own prices independently, and those prices occasionally diverge enough that their combined implied probabilities add up to less than 100%.

When that happens, a profitable arbitrage exists. You split your total stake across both outcomes in the right proportions, and every possible result pays you more than your total investment.

Example:

• Sportsbook A: Team A to win at 2.10
• Sportsbook B: Team B to win at 2.15
• Implied probability: (1/2.10) + (1/2.15) = 0.476 + 0.465 = 0.941 = 94.1%
• Arb percentage: 94.1% - below 100%, so this is a profitable opportunity
• Guaranteed margin: 5.9% on every dollar staked

On a $100 total stake, that's $5.90 in guaranteed profit regardless of which team wins.

The Arbitrage Formula

Step 1: Calculate the Arb Percentage

Arb % = (1 ÷ Odds1 + 1 ÷ Odds2) × 100

• Below 100%: profitable arbitrage exists
• Exactly 100%: break-even (no profit, no loss)
• Above 100%: not an arbitrage, the combined overround favours the bookmakers

Step 2: Calculate the Guaranteed Profit %

Profit % = 100 − Arb %

Step 3: Calculate Each Outcome Stake

To guarantee equal return (and equal profit) on both outcomes:

Stake on Outcome 1 = Total stake × (1 ÷ Odds1) ÷ (Arb % ÷ 100)
Stake on Outcome 2 = Total stake × (1 ÷ Odds2) ÷ (Arb % ÷ 100)

The calculator above does all of this automatically, enter your odds and total stake, and it splits everything for you.

Three-Way Arbitrage (Football / Soccer)

For markets with three possible outcomes (home win, draw, away win), the formula adds a third implied probability:

Arb % = (1 ÷ Odds1 + 1 ÷ DrawOdds + 1 ÷ Odds2) × 100

Three-way arbitrage opportunities are rarer than two-way because you need three prices across three sportsbooks to all diverge simultaneously. When they do occur, the profit margins tend to be smaller. The staking formula works identically, divide your total stake across three positions proportional to each outcome's implied probability.

Hedge Betting

Hedge betting is the sister strategy of arbitrage, same maths, different timeline.

With arbitrage, you place both bets simultaneously before the event begins. With hedge betting, you've already placed an original bet and now want to guarantee a profit (or reduce a loss) by placing a second bet on the opposing outcome.

When to hedge:

• Your original bet is winning in-play and you want to lock in profit without waiting for the final result
• Pre-event odds have moved significantly since you placed your original bet, creating a new opportunity
• You placed a long-odds accumulator and it's come through all legs except the last one, hedging on the final leg can guarantee a profit regardless of the outcome

The hedge formula:

Hedge stake = (Original stake × Original odds) ÷ Hedge odds

This calculates the precise amount to bet on the opposing outcome so that your total return is identical whether your original bet wins or the hedge wins.

Example:

• Original bet: $50 at odds of 3.50 (potential return: $175)
• Hedge odds available: 1.55
• Hedge stake = (50 × 3.50) ÷ 1.55 = $112.90
• Total invested: $162.90
• If original wins: $175 − $162.90 = $12.10 profit
• If hedge wins: ($112.90 × 1.55) − $162.90 = $12.09 profit
• Either way, profit is locked

The Hedge tab in the calculator above handles this instantly.

How to Find Arbitrage Opportunities

Arbitrage opportunities emerge and disappear in minutes. Most serious arb bettors use dedicated software that monitors hundreds of sportsbooks simultaneously and alerts them when a profitable discrepancy appears.

Manual method: Compare the same market across multiple sportsbooks. Focus on two-way markets (no draw option) to reduce complexity. Use the calculator to check whether the combined implied probability falls below 100%.

Where arbs most commonly appear:

• At market opening, before sportsbooks have updated each other's prices
• After sharp money moves one side and the original book is slow to react
• During live in-play events where prices shift rapidly and inconsistently
• On odds boosts and promotions, when a sportsbook boosts a specific selection, the boosted price may create an arb against another book's standard line

Odds boosts as arb opportunities: Regular Super Boost promotions on specific selections, like the Mbappé/Messi/Haaland Shot on Target boost that moved from 1.50 to 3.00, can occasionally create arb-able windows against other markets or platforms if the boosted price is sufficiently above the market consensus. Always use the calculator to verify.

Key Risks and Limitations

• Account restrictions: Traditional sportsbooks actively identify and limit accounts that consistently arb. Low bet amounts, round numbers on different books, and placing maximum stake on every arb are all triggers. Crypto sportsbooks have varying policies, check the terms before relying on arbitrage as a primary strategy.
• Line movement: Odds change constantly. Between seeing an arb and placing both bets, one or both prices may have moved. Larger total stakes take longer to place, more time for lines to shift.
• Void bets: If one leg of your arbitrage is voided (due to an abandoned event, a player not starting, or settlement rules), the guaranteed profit disappears. One leg settles, the other doesn't, you're left with a one-sided position.
• Withdrawal limits and processing times: To complete an arbitrage, you need funded accounts at multiple sportsbooks simultaneously. Withdrawal delays between balances can prevent you from capitalising on opportunities when your funds are tied up.
• Margin size: Most arbitrage opportunities offer very small guaranteed profit margins, typically 1-5%. To generate meaningful returns, you need large stake sizes. This magnifies the other risks above.

For more on how sports betting markets work and where value appears, see our how to bet on soccer guide and our Kelly Criterion staking guide.

Frequently Asked Questions

What is arbitrage betting? Exploiting price discrepancies between sportsbooks to back all outcomes of an event for a guaranteed profit. Possible when the combined implied probability across all outcomes falls below 100%.

How do I calculate an arb bet? Arb % = (1/Odds1 + 1/Odds2) × 100. Below 100% = profitable opportunity. Use the calculator above to split your stake automatically.

What is the difference between arbitrage and hedging? Arbing places both bets simultaneously before the event. Hedging places a second bet after an original bet is already active, to lock in profit or reduce loss as the event approaches or unfolds.

Do sportsbooks allow arbitrage betting? Traditional sportsbooks frequently limit arb accounts. Crypto sportsbooks have varying policies. Always check terms of service. Promotional boosts are generally treated differently from systematic arbing of standard markets.

What is a three-way arb? Arbitrage covering all three outcomes in a market with a draw option (e.g. football match winner). Arb % = (1/Odds1 + 1/DrawOdds + 1/Odds2) × 100. Below 100% = profitable. Rarer than two-way arbs.

Why do arb opportunities disappear so quickly? Sportsbooks monitor each other's prices constantly and adjust rapidly when a discrepancy appears. Most opportunities last seconds to minutes, dedicated arb software is typically required to catch them consistently.