Arbitrage Calculator

1. Pick an Odds Format. American, Decimal, Fractional, Probability, or Contract.
2. Enter the Primary Bet odds and amount. Optionally name the bet and select the sportsbook.
3. Add a Hedge Bet row for every other outcome. Enter odds for each leg, and amounts if not auto-solving.
4. Pick the Target Outcome you want the math to solve toward.
5. Toggle Lock Stakes if you want to fix the primary stake and let hedges flex.
6. Read the output. Guaranteed Profit, Total Stake, Return %, and per-outcome tiles.

What is an arbitrage and hedge calculator?

This calculator handles two related operations: building an arbitrage from scratch and hedging an open bet. The underlying math is the same; the difference is timing. Arbitrage places multiple offsetting bets simultaneously to capture a pricing discrepancy. Hedging places an offsetting bet after the original to reduce or eliminate risk on an existing position.

For a two-way market: convert each side's American odds to implied probability. If the two probabilities sum to less than 100%, an arbitrage exists. The gap below 100% is the arbitrage percentage. For multi-leg markets, the calculator extends the math to handle 3+ outcomes (such as soccer moneylines or three-way futures).

Hedging vs Arbitrage: Same Math, Different Timing

An arbitrage is built by placing all legs at once. A hedge is placed after an existing position is already open. The stake sizing logic is identical: the calculator figures out how much to wager on each remaining outcome so the cash result is equal regardless of which side wins.

The most common hedging scenarios: a parlay one leg away from a large payout, a futures bet that gained value as the season progressed, or a promotional bet that requires a hedge to lock in the conversion.

Formula

Worked example (arbitrage)

Team A at +120 and Team B at -100.

Worked example (hedge)

A bettor placed a $100 parlay at +1000. The last leg is the Patriots at -150. After other games settle, the parlay is one leg from a $1,100 payout. The opposing side is at +130 (decimal 2.30).

Why arbitrage and hedging matter for sports bettors

Sports betting arbitrage opportunities exist because sportsbooks set their lines independently and react to bets at different speeds. When one book moves a line and another lags, a pricing gap opens. Those gaps are typically small (1 to 3% of the stake) and close fast.

Hedging converts variance into certainty. A live parlay near a large payout has option value but also full downside if the last leg loses. Hedging trades some of the upside for a guaranteed return. The right choice depends on bankroll, confidence in the remaining legs, and appetite for variance.

The DarkHorse Odds Bet Finder scans 50+ sportsbooks continuously and surfaces every active arbitrage, sorted by return percentage. Use this calculator to validate stake sizes and confirm the return before placing the bets.

For a complete strategy walkthrough, read our Arbitrage Betting guide and Second Chance Bet: Hedging Incorrectly.

Common arbitrage and hedging mistakes

• Stake sizes off by even a few dollars change the math. Always use the calculator output, not a rounded estimate.
• Lines move between bets. Place the legs as close together in time as possible. If one line moves after the first bet is placed, the arbitrage may shrink or disappear.
• Account limits. Sportsbooks recognize arbitrage activity and may limit or restrict accounts that focus heavily on it. Mix arbitrage with promotional play to extend account life.
• Voided bets. If one leg is voided by the sportsbook (rain delay, player scratch, rule technicality), the position is left unhedged. Check house rules before betting unfamiliar markets.
• Hedging with bonus bets. Bonus bets can be used as hedges, but the math differs from cash hedges because bonus bets return only the winnings, not the stake. Use the Bonus Bet Calculator for that case.