Sports betting odds conversion and arbitrage hedge calculator

How-to and knowledge guide

What is hedging in live betting (Sports Hedging)?

In-play hedging (Hedging) is a risk-management strategy where sports bettors place reverse bets during a game or after odds change to reduce potential losses or lock in partial profits. For example: you bet $100 on the home team pre-match at odds 2.00; when the home team leads and the away team's odds rise to 1.60 in-play, you can bet on the away team an amount that ensures you will make a positive net profit or at least not lose regardless of the outcome.

How do I use the arbitrage calculator (Arbitrage) to lock in match profits?

Arbitrage (Arbitrage) refers to allocating stakes across different bookmakers to exploit an implied win-rate total below 100%, ensuring a profit regardless of the outcome. Steps to use are as follows:

• Enter the differing odds from two bookmakers (first and second bet odds)
• The calculator automatically detects arbitrage opportunities (implied total probability < 100%).
• If arbitrage exists, the calculator will show the optimal capital allocation ratios and the guaranteed rate of return.
• Distribute total capital between the two directions according to the suggested proportions to lock in a risk-free profit.

Note: Arbitrage opportunities usually exist for a very short time and require quick decisions and multiple platform accounts.

Mathematical conversion logic between American odds and decimal odds

The core of odds-format conversion is to unify different representations by converting them into "implied probability" as a bridge. The specific conversion formulas are as follows:

• Decimal to implied win rate: Probability = 1 / decimal odds × 100%
• American odds positive (+) to decimal: Decimal odds = 1 + American odds / 100 (e.g., +150 → 2.50)
• American odds negative (-) to decimal: Decimal odds = 1 + 100 / |American odds| (e.g., -200 → 1.50)
• English fractional to decimal: Decimal odds = numerator / denominator + 1 (e.g., 3/2 → 2.50)
• Implied win rate to decimal: Decimal odds = 1 / (probability / 100)

Understanding these conversion rules will make you more accurate when comparing odds across platforms, calculating true win probability, and expected value.