Arbitrage calculator

Total stake Outcome one decimal odds Outcome two decimal odds Outcome three decimal odds, optional

Example result

Two prices of 2.10 split 100.00 into 50.00 per outcome and return 105.00.

What this calculator answers

Split one total stake over two or three mutually exclusive outcomes. The calculator shows each suggested amount, the inverse price total and the equalised return implied by the entered prices.

Formula and worked example

Formula: Inverse total = sum of 1 divided by each decimal price. Stake for outcome i = total stake times (1 divided by price i) divided by inverse total.

With 2.10 and 2.10, the inverse total is 0.95238. Splitting 100.00 equally gives 50.00 per side and a 105.00 return whichever listed side wins.

Checks before using the result

• Mixing outcomes that are not mutually exclusive.
• Using a price that is no longer available when the second stake is entered.
• Ignoring limits, void terms and settlement differences.

When the calculation does not apply

Prices can move, stakes can be voided and markets can settle differently. The calculation only describes the entered arithmetic and does not apply where outcomes do not cover the same event.

Keep the number in context

A calculator makes the arithmetic visible, but it does not decide whether a price fits your budget or information. Write down the stake before placing anything, check the market rules, and keep essential money separate. The result is a planning figure, not a prediction of what will happen.

For another view, visit the calculator hub, compare the Overround and margin and Bankroll and staking, or read the guide to reading odds. These tools use the same price conventions, so you can check a number from more than one angle.

Reading a rounded result

Displayed money amounts are rounded to two decimal places, while a real settlement can apply its own rounding sequence. Keep the original inputs beside the result if you need to repeat the calculation later.

If an input is unclear, pause and find the stated market term rather than guessing. A useful check is to change one input by a small amount and see whether the result moves in the direction you expect.

That does not validate the market, but it can reveal a reversed sign, an incorrect price format or a duplicated stake. Use the final figure as an aid to understanding the arithmetic, not as a reason to ignore a limit you set in advance.