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L.7 · ADVANCED · 3 MIN

Risk-Reversals and Butterflies: Building Direct Bets on Skew and Convexity

Two structures, risk-reversals and butterflies, are the institutional standard for trading the SHAPE of the volatility surface -- not its level. A risk-reversal is a direct bet on skew (the gap between the put-wing IV and the call-wing IV). A butterfly is a direct bet on convexity (how curved the smile is at a given expiration). Together they let a trader express granular views about the surface that a vanilla straddle or vertical spread cannot.

Quiz · 5 questions ↓
§ 01
StructureLegsWhat it's a bet onPrimary risk
Long Risk-ReversalLong OTM call + short OTM put (typically 25-delta both)Skew narrowing (put wing cheaper relative to call wing); also a directional long-biasNaked short put -- crash exposure if the underlying drops sharply
Short Risk-ReversalShort OTM call + long OTM putSkew steepening (put wing more expensive); also a directional short-biasNaked short call -- unbounded upside loss if the underlying rallies
Long ButterflyLong low + 2 short middle + long high (all same expiration)Convexity in the smile -- profits if the underlying pins near the middle strike at expirationLimited (net debit paid); modest reward at best
Short ButterflyShort low + 2 long middle + short highSmile flattening / convexity collapse -- profits if the underlying moves away from the middle strikeLimited (spread width less credit received)
§ 02

Risk-reversals are quoted directly in the institutional FX and equity-index option markets. A '25-delta risk-reversal' quote like '+1.2 vols' means the 25-delta call trades 1.2 vol points HIGHER than the 25-delta put -- a positive risk-reversal indicates a CALL-favored skew (rare in equities, common in commodities like crude oil during shortage fears). A NEGATIVE risk-reversal quote (the equity-index norm) signals the standard put-skew. Tracking the risk-reversal time-series is one of the cleanest reads on how the market is pricing tail asymmetry over time.

§ 03

Butterflies are a CONVEXITY bet. The middle strike trades at lower IV than the wings (this is the smile shape itself), and a long butterfly buys that lower-vol middle while selling the higher-vol wings. The bet pays off if the underlying pins NEAR the middle strike at expiration -- low realized vol around the middle is the win condition. Butterflies are common in low-vol regimes when traders believe the underlying will be range-bound; they are dangerous in high-vol regimes when realized moves often blow through the wings.

§ 04

Retail traders see vertical spreads and iron condors in every options platform; risk-reversals and butterflies are less commonly highlighted because the size and margin requirements are larger and the skew/convexity views require an explicit forecast of the surface, not just direction. Retail use is mostly limited to specialty platforms and self-directed accounts with portfolio margin. The institutional use case -- expressing direct views on the shape of the surface -- is what makes these structures useful in the first place.

§ 05
On a major index option chain (SPY or QQQ), construct a paper risk-reversal: identify the 25-delta call and 25-delta put for the next monthly expiration. Note the IV on each leg and the net premium (credit or debit). Then identify a 1-2 standard-deviation butterfly centered at ATM: long one wing, short two ATM, long the other wing. Compare the cost of each structure -- the butterfly is typically a small debit, the risk-reversal usually a small credit or zero. The asymmetry in pricing reflects the skew shape itself.
§ 06

The disciplined use of these structures requires an EXPLICIT FORECAST of the surface. A long risk-reversal is a bet that today's skew is too steep; that bet is wrong if skew steepens further. A long butterfly is a bet that realized vol will be low around the middle strike; that bet is wrong if vol spikes. Without a thesis about the surface itself, these are just complicated directional bets with worse risk/reward than simpler structures.

§ 07

Risk-reversals trade skew directly (call wing IV vs put wing IV); butterflies trade convexity directly (smile curvature). Both are institutional-standard tools for expressing views about the SHAPE of the volatility surface rather than its level. Retail use is possible with portfolio margin but uncommon. The literacy gain is recognizing that vol-shape trades exist as a distinct category from vol-level trades.

Five questions · AI feedback

Sit with the ideas.

A trader believes the equity index put-skew is currently too steep -- the 25-delta put trades at 24% IV while the 25-delta call trades at 13% IV, and the trader expects this 11-point gap to narrow over the coming month. Which structure most directly expresses that view, and what is its risk profile?

Why:
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