Quant Memo
Core

Barbell vs Bullet Portfolios

Two ways to build a bond portfolio with a given average duration: concentrate everything in the middle of the curve (bullet), or split it between very short and very long maturities (barbell).

Prerequisites: Bond Duration and Convexity

Two bond portfolios can carry the exact same average duration and still behave completely differently when the yield curve moves. A bullet portfolio holds bonds clustered around a single maturity — say, mostly 7-year notes — so its duration comes from one concentrated point on the curve. A barbell portfolio instead splits the same money between very short bonds (2-year) and very long bonds (30-year), with nothing in between, engineered so the weighted-average duration matches the bullet exactly. The two portfolios have identical sensitivity to a parallel shift in rates, but diverge sharply when the curve twists: a barbell has more convexity, meaning it gains slightly more when rates fall and loses slightly less when rates rise than a bullet with the same duration, because convexity is a curved (not straight-line) benefit that grows with the spread of maturities held. The bullet, in exchange, tends to outperform when the curve flattens toward the bullet's concentrated maturity, since a flattening pulls the barbell's long end down in yield relative to its short end in a way that hurts the barbell's mix specifically.

A manager expecting range-bound rates but worried about a sharp shock in either direction often prefers the barbell's convexity cushion, paying for it by giving up some yield if the market simply grinds toward the bullet's maturity instead.

Barbell and bullet portfolios can share the same duration yet differ in convexity and in how they react to a change in curve shape — barbell for extra convexity and shock protection, bullet for a view that the curve stays where it is or reshapes toward the middle.

Related concepts

Practice in interviews

Further reading

  • Fabozzi, Bond Markets, Analysis, and Strategies (ch. on portfolio strategies)
ShareTwitterLinkedIn