General Betting Math
Sports Arbitrage Calculator
Allocate stakes across two mutually exclusive outcomes and estimate locked return. Executable prices, stake limits, commission, and timing determine whether the two-sided allocation is available.
Replace the example values
Use a separate saved case when an uncertain field needs a cautious alternative.
Scope of this calculation
Sports Arbitrage Calculator is designed to allocate stakes across two mutually exclusive outcomes and estimate locked return. On this page, another period or grading basis is a different question.
Executable prices, stake limits, commission, and timing determine whether the two-sided allocation is available.
What each entry represents
Within this calculation, use a current source for Total amount to allocate. Here it means combined stake across both sides. Side A decimal odds records best available decimal price for side A.
For arbitrage margin, Side B decimal odds represents best available decimal price for side B.
In the current scenario, do not copy a sample default into a live case without checking its source.
When using the result, the calculation uses arbitrage exists when 1 ÷ odds A + 1 ÷ odds B is below 1.
Stake and quoted prices determine return, profit, or allocation.
The formula cannot verify that every price remains executable.
At this stage, supporting rows should reconcile with the same entries as the headline.
Keep this model focused on arbitrage margin. Use the Straight Bet Payout for that separate calculation.
Where input quality can fail
Recalculate both stakes when either price moves. An old split no longer locks the same return.
For the saved case, cash, restricted credit, gross return, and net profit may require separate accounting.
For this market, use an executable price for the exact selection and stake, not an earlier screenshot or an unavailable best quote.
Reproducing the method
Under the entered assumptions, the worked values provide a repeatable test after a formula change.
The displayed rule is arbitrage exists when 1 ÷ odds A + 1 ÷ odds B is below 1.
For the Sports Arbitrage Calculator, the page applies arbitrage exists when 1 ÷ odds A + 1 ÷ odds B is below 1. Every numeric term comes from a displayed field.
Use Side A decimal odds in the Sports Arbitrage Calculator only as described here: best available decimal price for side A.
Do not combine statistics from different periods merely because they use the same unit. Their market scope also has to match. Keep the compared line fixed while making that check.
At this stage, practical comparison begins after current values replace worked inputs.
To compare free bet conversion separately, open the Free Bet Conversion after saving this baseline.
From output to market comparison
The answer is exact only for the entered prices and terms.
Recalculate after a quote, limit, or eligibility change.
For the saved case, the answer is most useful as a baseline that can be updated.
- Keep stake fixed and compare the accepted price with one realistic adverse quote.
- For promotions or hedges, test the actual eligible maximum.
- Do not change multiple prices when identifying the source of a return difference.
Where the method can break
- Limits, void rules, timing, and account restrictions can prevent execution.
- Under the entered assumptions, review promotion terms, limits, push treatment, void rules, and whether stake is returned before comparing profit.
- For this market, a value from another event may use the correct unit while answering a different question.
Preserve the baseline
A useful Sports Arbitrage record identifies period, market price, and projected-field sources.
For the saved case, preserve the first answer when Side B decimal odds changes.
At this stage, keep source revisions and market moves as different update reasons.
Record the Bankroll Unit Size assumptions separately even for the same event.
Practical questions
Before using the result, should total amount to allocate be rounded before entry in Sports Arbitrage?
For this comparison, keep source precision during calculation and round arbitrage margin only for presentation.
Do extra decimal places make arbitrage margin more reliable for Sports Arbitrage?
As a practical check, no—display precision cannot repair stale data or incompatible periods.