First Bet Insurance Calculator
Plan the initial bet, possible refund, and later bonus conversion — every branch computed.
Protect the first wager → Wait for the result → Convert the refund
What is a first-bet-refund promotion?
"First bet up to $1,000 back if it loses" is first-bet insurance: your initial cash wager is refunded as stake-not-returned bonus bets when it loses. Unlike a bet-and-get, the reward only arrives on the losing branch — which changes the optimal strategy completely.
How the two-stage strategy works
Stage 1: bet a longshot at the promotional book (you want it to lose) and hedge the opposite side. The hedge is sized so the win-branch and the lose-plus-refund branch land near the same result. Stage 2: when the refund arrives, convert it like any bonus bet. This calculator optimizes the initial hedge across all three final outcomes — win, lose-then-bonus-wins, lose-then-hedge-wins.
Why the initial hedge differs from a normal qualifying hedge
A plain qualifying hedge balances two branches. Here, losing the first bet is partially compensated by the refund's future value, so the optimal hedge is smaller — you deliberately under-hedge the loss branch by the refund's conversion value. That's why this tool exists: eyeballing it leaves money on the table.
How refund caps affect the result
"Up to $1,000" means stakes above the cap are unprotected: a $1,500 first bet only ever gets $1,000 back. The calculator warns when part of your stake is outside the promotion's coverage.
Is this the right calculator?
Use it when your first real-money wager is protected if it loses and the refund arrives as bonus bets or site credit. Do not use it for bet-and-get offers, ordinary bonus bets, profit boosts, or cash-back offers with rollover requirements.
Related: Bonus Bet Calculator · Qualifying Bet Calculator · Current verified offers
Informational tool only — not betting advice. You must meet each operator's eligibility, age (18+/21+ by jurisdiction), and geolocation requirements. Gambling problem? Call or text 1-800-GAMBLER.