Arbitrage Calculator

Arbitrage Calculator

Drop in prices from two bookmakers for the same event, and this checks whether a real arbitrage exists between them — and exactly how to split your stake if it does.

Rates are fixed reference values for display only, not live market rates.
Market total
Stake at A
Stake at B
Guaranteed back
Guaranteed profit

Key terms, plainly put

An arbitrage turns up when two bookmakers disagree enough on the same event that backing both outcomes, split correctly, locks in a profit no matter the result. It only exists because prices differ — the moment both firms agree closely, the gap closes.

The maths behind it

Market total = (1 ÷ price A) + (1 ÷ price B). Below 100%, an arbitrage exists. Split your total stake in proportion to each side's share of that sum, and whichever outcome happens, the payout comes out the same.

Worked example

Price A at 2.10, price B at 2.05: (1÷2.10) + (1÷2.05) = 0.476 + 0.488 = 0.964, or 96.4% — under 100%, so there's a genuine arbitrage. Splitting £100 correctly locks in roughly £103.80 back whichever side wins, about £3.80 guaranteed profit.

For 18+ use only. These figures are for working things out, nothing more — they don't predict a result or promise a return. If betting stops feeling fun, that's worth paying attention to. Free, confidential help is available at BeGambleAware.

Common questions

If the maths guarantees profit, why isn't everyone doing it?

A few things get in the way in practice: prices can move before your second bet lands, bookmakers restrict accounts that do this often, and thin margins can vanish once fees or stake limits are counted.

What counts as a decent arbitrage percentage?

Anything under 100% technically qualifies. The lower it goes, the bigger the guaranteed margin — but wide gaps are rare and tend to close fast once spotted.

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