UTILS.
100% in-browser
🎁

Free Bet / Bonus Bet Value Calculator

Estimate the real cash value of a stake-not-returned free bet, as raw expected value and as a guaranteed conversion rate when you hedge the other side.

Enter the free-bet amount and its odds. Add the opposite-side odds to see the guaranteed hedged value.

Pure math reference — no real-money handling or betting advice.

About this tool

The Free Bet / Bonus Bet Value Calculator estimates what a stake-not-returned free bet is really worth in cash. Because the stake is not returned, a winning free bet of face value F at decimal odds d1 pays only the winnings F × (d1 − 1). At fair pricing the raw expected value is that amount divided by the odds, F × (d1 − 1) / d1 — which is why free bets are worth more when placed on longer odds.

All calculations run locally in your browser and nothing you enter is stored or sent. Enter the free-bet amount, the odds you will use it on, and the odds available on the opposite outcome to lock in a guaranteed return. Hedging the other side with stake H = F × (d1 − 1) / d2 leaves a certain profit of F × (d1 − 1) × (d2 − 1) / d2 whichever way the event goes. Dividing that locked profit by the face value gives the conversion rate — the percentage of the free bet you keep as real cash, typically around 60–75% at sensible odds.

This is a pure math reference; it does not handle real money or place bets. The conversion rate rises as the free-bet odds lengthen and as the hedge price stays close to fair, and it falls if the opposing side is heavily vigged. Use it to pick which market extracts the most value from a bonus and to compare offers.

Frequently asked questions

Why is a free bet worth less than its face value?
Because the stake is not returned on a win — you only collect the winnings, F × (d1 − 1), not the stake back. So even a winning free bet pays less than a cash bet of the same amount, and its expected value is below its face value.
What is the raw expected value?
At fair odds it is F × (d1 − 1) / d1, where F is the face value and d1 the decimal odds. This is the average cash value if you simply used the free bet and let it ride, with no hedging.
How does hedging lock in a guaranteed value?
Lay or back the opposite outcome with stake H = F × (d1 − 1) / d2. Whichever side wins, you keep a certain profit of F × (d1 − 1) × (d2 − 1) / d2 — turning a variable bonus into guaranteed cash.
What is a typical conversion rate?
Conversion = locked profit / face value × 100, usually around 60–75%. Longer free-bet odds raise it, because more of the value sits in winnings rather than the un-returned stake; a heavily vigged hedge lowers it.

More tools