Calculate the cent-rounded opposite cash BACK stake for two matching, exhaustive outcomes at accepted decimal odds. Model amounts use USD before fees, taxes and operator payout rounding.
Hedge Formula and Method
Opposite stake = original stake × original decimal odds / opposite decimal odds
Enter the original accepted stake and price, then the current price on the opposite outcome. The equal-profit calculation chooses a second stake so the two possible winning returns are identical before subtracting both stakes. Both outcomes are shown so a negative locked result is visible.
How to Use This Calculator
Enter the original accepted cash stake in USD and both accepted decimal prices for the same two-outcome settlement. The calculator shows the opposite stake rounded to the nearest cent and recomputes both outcome profits from that displayed stake.
Worked Example
For a 100.00 USD original stake at decimal odds 3 and opposite odds 1.8, the ideal opposite stake is 166.666… USD. Rounding to 166.67 USD gives net 33.33 USD if the original outcome wins and 33.336 USD if the opposite outcome wins, before fees and operator payout rounding.
Input and Example Guide
| Input or category | Example or weight | Entry guidance |
|---|---|---|
| Money convention | U.S. dollars (USD) | All amounts use USD; there is no currency conversion. |
| Original accepted cash stake (USD) | 100 | Use the stated unit; retain available precision. |
| Original price (decimal odds) | 3 | Use the stated unit; retain available precision. |
| Opposite outcome price (decimal odds) | 1.8 | Use the stated unit; retain available precision. |
Interpreting the Result
The opposite selection must complete a two-outcome set for the same settlement. A draw in a three-way market, different overtime treatment, void rules or a changed line can leave an uncovered case. The amount is an arithmetic balance, and cent rounding may prevent exact equality in a real ticket.
The two outcomes must be mutually exclusive and collectively exhaustive. Draws, voids, commission and differing settlement rules can invalidate this balance; currency rounding changes exact equality.
Assumptions and Common Input Errors
The ideal unrounded stake equalizes the modeled net outcomes; cent rounding may create a small difference. The displayed hedge uses nearest-cent rounding with half-cent ties upward. Outcome profits are recomputed from that cent stake with exact decimal arithmetic and shown to at most six decimal places before operator payout rounding and fees. A negative equalized result remains a valid modeled loss.
Saving and Revising a Scenario
A successful calculation is saved in this browser and can be restored on the next visit. Editing an input retains the previous result with a stale-result warning until Calculate is selected. Reset clears the input fields and this calculator’s saved state.
Sources
Paddy Power: How Do Odds Work? explains stake-inclusive decimal returns. Betfair Charges describes net-market commission, which is excluded from this two-cash-BACK model. Arithmetic and settlement assumptions are specified above.
