1. What it is

Long butterfly: buy the low and high strikes and sell twice as many at the middle strike, all calls or all puts, at one expiration. Equal wings create a symmetric tent.

2. Why use it

Use a 1:2:1 structure to target a central expiration price.

3. How the numbers work

SPY · Teaching example · Reference price $500

All option legs have the same expiration. Premiums are per share. Each standard contract represents 100 shares.

Contracts
SideOption typeStrikeQuantityPremium
BuyCall470130.5
SellCall50025
BuyCall53010.5
Net premium
−30.5 × 1 + 5 × 2 − 0.5 × 1 = -$21.00 × 100 = -$2,100.00
Maximum expiration profit
$900.00
Maximum expiration loss
$2,100.00
Expiration breakeven
$491.00 / $509.00
Expiration scenarios
Underlying at expirationProfit / loss
470-$2,100.00
491$0.00
500$900.00
509$0.00
530-$2,100.00

Illustrative prices, before fees. Expiration payoffs exclude early assignment and changes in time value or volatility. Editing strikes keeps the entered premiums; no market quotes are fetched.

Explore this example

4. How it changes

Near the center, a long butterfly can have positive theta and negative vega despite being bought for a debit. Greek signs vary near and outside the wings.

5. What to watch for

A long equal-wing butterfly risks the debit. Reversing the legs creates a short butterfly whose maximum loss is concentrated at the center.

Long describes owning the structure, not having positive gamma everywhere. Confirm the side setting and inspect the actual legs.