A butterfly spread is a yield curve trade involving three maturities: a short and long maturity (the "wings") and an intermediate maturity (the "belly"). It isolates the curvature component of the yield curve, independent of parallel shifts and slope changes.
A long butterfly (long the wings, short the belly) profits when the curve becomes more humped — the belly cheapens relative to the wings. A short butterfly profits when the belly richens.
Example: the classic 2s/5s/10s butterfly:
Butterfly spreads are quoted in basis points as:
Butterfly = (wing1 yield + wing2 yield) / 2 - belly yield
Positive values mean the belly is rich (low yield, expensive price) relative to the wings; negative values mean the belly is cheap (high yield, inexpensive price).
Butterfly trades are used for:
The blog post "Ten Treasury Curve Snapshots That Tell the Story of a Generation" discusses how butterfly spreads shift across major market events.