HedgeMath

Bonus bet conversion rates: what the math allows

Published 2026-09-29 · Updated 2026-09-30

How much of a bonus bet can you actually turn into cash? The answer is arithmetic, not luck, and it depends mostly on the odds you choose. Here is the formula, a table of what it produces, and the trade-offs.

How conversion is calculated

Conversion rate is the share of a bonus bet's face value that you can turn into cash by hedging. If a $100 bonus bet ends up as $65 of cash, it converted at 65%. The calculation is the calculated result of the hedged pair divided by the bonus amount.

Because a bonus bet's stake isn't returned when it wins, its value comes entirely from the winnings. That's why the odds you put it on matter so much.

The ceiling: one minus the implied probability

If the bet on the other side were priced with no sportsbook margin at all, conversion would equal 1 minus the implied probability of the bonus bet's odds. At +200 the implied probability is 33.3%, so the ceiling is 66.7%. At +100 it is 50.0%, and at +500 it is 83.3%.

What real prices do to it

Real prices carry a margin, and you pay it on the hedge. The table shows the ceiling next to what the same bonus converts to when the two prices add up to a standard -110 / -110 margin.

Odds on the bonus betCeiling (no margin)With a typical marginHedge needed for a $100 bonusHedge odds assumed
+10050.0%45.2%$55-121
+15060.0%52.8%$97-184
+20066.7%57.1%$143-250
+30075.0%60.7%$239-394
+40080.0%61.0%$339-556
+50083.3%59.5%$440-740
+70087.5%54.2%$646-1192

Assumes the two sides' prices add up to 104.8%, the margin in a standard -110 / -110 market, and a $100 bonus bet whose stake isn't returned. Calculated with the same engine as the bonus bet calculator.

Longer odds help, up to a point

The ceiling keeps rising with the odds, but the margin you pay is charged on the hedge, and the hedge grows with the odds. In this model the two balance around +360: conversion climbs to about 61% and then slips, and by +700 it is back to 54.2%.

The hedge is also your own cash. A $100 bonus at +200 needs a hedge of about $143; at +500 it needs about $440. The hedge sportsbook's maximum bet, or your bankroll, can cap it before the math does.

What raises conversion in practice

Try it yourself
Open the bonus bet calculator

How much to bet on the other side, and what share of the bonus becomes cash.

Frequently asked questions

What is a good bonus bet conversion rate?

It depends on the odds you use and the margin on the hedge. The math sets a ceiling of 1 minus the implied probability of the bonus odds, which is 66.7% at +200, and real prices land below that. The table on this page shows the calculated rates.

Does a longer-odds bonus bet always convert more?

Up to a point. The ceiling rises with the odds, but so does the size of the hedge you pay margin on. With a standard margin the calculated conversion peaks around +360 and then slips, and the hedge keeps growing, so the longest odds are rarely the best choice.

Does rounding my hedge matter?

Only slightly. Rounding the hedge down to a whole dollar moves the result by cents, and the calculator's rounding row shows the exact cost.

Is the calculated result locked in?

It's calculated at the prices you enter. Odds move and bets can be voided, so confirm both prices before placing either bet.

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