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Inverse Iron Butterfly

A long straddle with both wings sold: it opens for a debit and gains when the underlying moves away from the body strike, up to the width of a wing.

Also called Long iron butterfly, Reverse iron fly

Outlook
Volatility
Family
Neutral
Level
Advanced
Legs
4 legs
Expirations
1 expiration
Opens for
Debit
Maximum profit
Limited
Maximum loss
Limited

Legs at the reference strikes this page's diagrams are drawn from

Leg Side Contract Ratio How the strike is chosen
B Long Put 100 1 At the money
A Short Put 90 1 10.00 points further out of the money than B
B Long Call 100 1 At the money
C Short Call 110 1 10.00 points further out of the money than B

A put and a call bought at the same strike B, with a put sold at A below and a call sold at C above. Four legs, one expiration.

It is a long straddle with both wings sold, and the reverse of the iron butterfly. The sold wings reduce the debit and cap the gain at the wing width.

At expiration

A V with flat ends: the full debit is lost at the body strike B and the gain is capped beyond the wings A and C.

  • At B — everything expires worthless and the whole debit is lost, at exactly one price.
  • Between A and B, or between B and C — one long leg is in the money and the result climbs toward the maximum gain.
  • Below A or above C — that side is worth its full width and the gain stops.

Maximum gain is the wing width less the debit. Break-evens are B minus the debit and B plus the debit — the same as a long straddle’s, because inside the wings the two are identical.

Today, before expiration

Today's value is a shallow curve above the V, with a rounded bottom at B and rounded corners at the wings.

The bottom at B is rounded, so the full debit is not lost until expiry. As with its inverse, most of the structure’s movement happens late: the at-the-money legs carry the most time value and lose it fastest at the end.

Delta is near zero at B and builds in either direction.

Gamma is positive at B and negative at the wings.

Theta is negative and concentrated at B.

Vega is positive and small — the long body and short wings partly offset.

Where it lives in the volatility environment

Section titled “Where it lives in the volatility environment”

Practitioners describe it as the cheapest defined-risk way to hold a long-volatility view at a single strike, and compare it to a long straddle on whether a move beyond the wings is expected: past them, the straddle keeps gaining and this does not.

  • The worst case is at the strike everyone expects it to be near. A quiet expiry at B loses the entire debit.
  • The gain is capped at the wing width. A large move pays no more than a moderate one that reaches the wing.
  • Short wings carry assignment risk, on either side, and both can be tested over the life of the structure.
  • Four legs to open and close, and the wings are usually the wider markets.
  • A partially closed structure is a vertical spread or a naked option, depending on what was left.

Open Build Strategy and pick Inverse Iron Butterfly. The body strike is chosen once for both long legs; the wings are offsets from it.

Back to the encyclopaedia · What-if analysis in the docs

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