An iron butterfly is the structure the journal uses when the directional bias is "underlying stays near the current price, with low realized volatility" and the journal wants the highest possible probability of profit at the cost of a wider distribution of outcomes. The structure is: short one straddle (short call + short put at the same strike near the current underlying) and long one strangle (long call + long put at wider strikes, both wings equidistant from the center). The net premium is the max-profit; the wings define the max-loss.

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Anatomy at entry

For an iron butterfly at the current underlying (e.g., SPX at 760): short the 760 call and 760 put, long the 780 call and 740 put. The short strikes are at-the-money; the long strikes are 20 points away in each direction. The journal collects the net premium from the short straddle, pays the premium for the long strangle, and the net credit is the structure's max-profit.

The max-loss is the width of the wings minus the net credit. For a 20-point-wide wing, the max-loss is $20 − net credit (in SPX terms, $2,000 − net credit per contract). The breakeven points are the short strike +/− the net credit; for a 760 short strike and $5.00 net credit, the breakevens are 755 and 765.

The structure has a very high probability of profit if the underlying stays between the breakevens at expiration. The journal usually targets a 65–75% probability of profit at entry, which requires the iron butterfly to be priced close to the wings (i.e., the net credit is close to the max-loss of the position).

When the iron butterfly fits better than an iron condor

The iron butterfly is to the iron condor as a long call is to a long call vertical: the iron butterfly has a more concentrated payoff, the iron condor has a wider distribution. The iron butterfly is the right structure when:

The iron butterfly fits worse when:

Strike selection

The journal's strike selection for an iron butterfly follows three rules:

1. The short strike is at-the-money or one strike in-the-money. The short strike is the center of the structure. The journal picks the short strike at the price where the journal expects the underlying to close at expiration, not where the underlying is currently trading. If the journal expects SPX to drift up to 765 by expiration, the short strike is 765, not 760.

2. The wings are equidistant from the short strike. The journal uses equal-width wings (e.g., 760/780/740, or 765/785/745) so that the max-loss is the same on both sides of the position. Unequal wings create an asymmetric position that the journal does not want on a mean-reversion trade.

3. The wing width is chosen based on the expected move. A 20-point wing on SPX is appropriate for a 1.5–2% expected move; a 30-point wing is appropriate for a 2–3% expected move. The journal does not use wing widths wider than 40 points on SPX (4 points on XSP) because the structure starts to behave like an iron condor past that width.

Greeks at entry

The iron butterfly is a short-gamma, short-vega, positive-theta structure. The gamma is negative because the position is short the at-the-money straddle, which is the highest-gamma region. The vega is negative because the position benefits from low IV; an IV expansion hurts the position. The theta is positive because the position benefits from time decay.

For an iron butterfly entered at 30 DTE, the typical greeks at entry are: delta ~0 (the position is delta-neutral at the short strike), theta +0.15/day, vega −0.20, gamma −0.05. The high theta is the journal's edge: the position makes money every day as long as the underlying stays near the short strike. The negative gamma is the risk: a fast move in the underlying hurts the position disproportionately, and the journal monitors the position more closely as the underlying approaches the wings.

Adjustments

The iron butterfly is the most-adjusted structure in the journal's playbook. The common adjustments are:

Why the journal sizes the iron butterfly conservatively

The iron butterfly's high probability of profit is offset by the fact that the rare losses are large. The structure is roughly equivalent to a series of small wins with occasional max-loss events; the expected value is positive, but the distribution is right-skewed (lots of small wins, rare large losses). The journal sizes the iron butterfly smaller than other structures to account for the wide distribution, on the theory that the max-loss event is more likely to be a multi-sigma outcome than a typical theta decay.

Disclosure

The desk may hold the positions, options, or underlyings mentioned in a trade-log entry at the time of publication; positions are disclosed in the trade-log entry itself. Nothing on this site is investment advice.

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