| Curve-shape move | Steepener result | Butterfly (long-belly) result |
|---|---|---|
| Parallel up shift | Zero (DV01-weighted) | Zero (DV01-weighted) |
| Steepening (short-end down, long-end up) | Profit | Roughly zero (short and long legs cancel) |
| Flattening (short-end up, long-end down) | Loss | Roughly zero |
| Belly outperforms wings (5yr down, 2yr+10yr up) | Roughly zero | Profit |
| Belly underperforms wings (5yr up, 2yr+10yr down) | Roughly zero | Loss |
Butterfly trades are common around Fed policy-rate decision dates because the BELLY of the curve is most sensitive to changes in the expected path of policy rates over a 3-5 year horizon. A surprise dovish shift can drive the 5-year point down materially while the 2-year (already pricing in near-term cuts) and the 10-year (anchored by long-term expectations) move less. The long-belly butterfly is the natural expression of 'I think the market is underpricing how much the path of policy rates will shift.'
Butterfly trades require careful DV01-weighting to isolate curvature. A common naive mistake is to size the trade in equal NOTIONAL amounts of each leg; this produces a position dominated by whichever leg has the most duration, defeating the purpose. The correct weighting equalizes DV01 on the long-belly leg against the COMBINED DV01 of the two wing legs -- so a 1 bp parallel shift produces zero P&L AND a 1 bp steepener produces zero P&L. Only curvature changes produce P&L. The math is straightforward but easy to mis-implement, and getting it wrong turns a curvature trade into an accidental duration position.
Yield-curve butterflies (long belly + short wings, DV01-weighted) isolate curve curvature -- a third dimension of curve shape beyond level and slope. The bullet-vs-barbell vocabulary captures the same idea from a portfolio angle: bullets win when belly outperforms; barbells win when wings outperform. Butterflies require careful DV01-weighting to isolate curvature; naive notional sizing turns the trade into a duration position. The literacy gain is recognizing curvature as a tradeable curve dimension distinct from slope.
Sit with the ideas.
A trader puts on a 2-5-10 butterfly: LONG the 5-year point (the 'belly'), and SHORT the 2-year and 10-year points (the 'wings'), DV01-weighted so a parallel curve shift produces zero P&L. Over the trade horizon, the 2-year yield rises 20 bps, the 5-year yield falls 15 bps, and the 10-year yield rises 10 bps. What is the trade's P&L direction, and which curve-shape change does this trade express a view on?