How to hedge a bet: the math behind every hedge

You bet $50 on a team to win the title at +1000 back in the preseason. Now they're in the final. One game stands between you and a $500 profit, and the other side is right there on the board.

Do you hedge? Most bettors answer that with a gut feeling. This post gives you the math, so you can see exactly what a hedge buys you and what it costs.

What a hedge actually does

A hedge is a bet on the opposite side of a wager you already hold. It doesn't create profit. It moves money from your best outcome to your worst one, so the gap between them shrinks.

Hedging comes up most with futures and parlays, because those tickets can carry a big payout late in the process. Sports Illustrated's hedging guide calls championship futures one of the most common hedge spots.

The equal-result hedge

The cleanest hedge leaves you with the same result no matter who wins. The formula is short:

Hedge stake = total return on your original ticket / decimal odds of the hedge

Back to the title bet. Your $50 at +1000 returns $550 if your team wins ($500 profit plus your $50 stake). In the final, your team is -150 and the opponent is +130. In decimal, +130 is 2.30.

• Hedge stake: $550 / 2.30 = $239.13 on the opponent
• If your team wins: +$500 on the future, -$239.13 on the hedge = +$260.87
• If the opponent wins: -$50 on the future, +$310.87 profit on the hedge ($239.13 x 1.30) = +$260.87

Same number either way. You traded a shot at $500 for a fixed $260.87 in profit, at these prices.

What the hedge costs you

That certainty isn't free. The hedge bet carries vig, just like every other bet.

Take the final's prices. -150 implies 60.00%. +130 implies 43.48%. Together that's 103.48%, and the extra 3.48% is the book's margin. Strip it out and the no-vig odds put your team at about 57.98% and the opponent at about 42.02%.

Now compare the two paths using expected value:

• No hedge: 57.98% x $500 - 42.02% x $50 = about +$268.91 (using unrounded percentages)
• Full hedge: +$260.87 in every outcome
• Difference: about $8.04

That $8.04 is the price of the insurance. The hedge bet itself has an EV of about -3.36% on $239.13. You give up a little expected profit to remove almost all of the swing.

Whether that's worth it is a personal call. If $500 vs -$50 is a small swing for your bankroll, paying $8 to flatten it makes less sense. If that swing would change how you bet next month, paying $8 to remove it might be reasonable.

Partial hedges

You don't have to go all the way. Two other spots are worth knowing.

The breakeven hedge. Bet just enough on the other side to get your original stake back if your team loses.

Hedge stake = original stake / (decimal odds - 1)

$50 / 1.30 = $38.46 on the opponent. If the opponent wins, you're back to even. If your team wins, you net $500 - $38.46 = $461.54. You keep most of the upside and erase the downside.

Somewhere in between. Say you hedge $120 instead.

• Your team wins: $500 - $120 = +$380.00
• Opponent wins: -$50 + $156.00 = +$106.00

Both outcomes are positive, and you still lean toward your original side. The bigger the hedge, the closer the two numbers get. At $239.13 they meet.

Hedge vs cash out

Many books offer cash out, which settles your bet early for a set amount. FanDuel's help page describes a Cash Out Value shown on eligible open bets, and notes the option can be suspended at any time, for example during injuries or pitching changes.

A cash-out offer is the book's price for your ticket. Run the hedge math before you take it.

Say the book offers $280 to cash out the title ticket. That's $230 in profit. The equal-result hedge leaves $260.87 in profit in either outcome. In this example, hedging at the posted price leaves you $30.87 ahead of cashing out. The numbers won't always line up this way, so check both every time.

When a hedge makes sense

Use these questions before you hedge:

• Would you bet the hedge side on its own at this price? If not, you're paying for insurance. That can be fine, but know that's what it is.
• How big is the swing compared to your bankroll? Insurance is worth more when the outcome would change your month.
• Is there a better price somewhere else? Shopping the hedge side across books lowers the cost of the insurance.
• Has the line moved since your first bet? If the number moved enough, you may be able to set up a middle, where a result between your two numbers wins both bets.

The short version

• Equal-result hedge: total return / hedge decimal odds
• Breakeven hedge: original stake / (hedge decimal odds - 1)
• Every hedge has a cost, usually the vig on the hedge bet
• Compare any cash-out offer to the hedge math before you take it

Hedging is a risk decision, not a profit move. Do the math first, then decide how much swing you want to keep.

The DARIMARKET board ranks every play by confidence and shows the price it needs to beat.