Answer: A
For LARGE parallel shifts in the yield curve, the barbell portfolio typically outperforms the bullet portfolio due to its higher convexity.
Reasoning:
- Convexity effect: Higher convexity in the barbell portfolio provides better price protection against large interest rate movements
- Price-yield relationship: For large rate changes, the convexity term becomes more significant in the price change calculation
- Mathematical basis: Price change ≈ -Duration × Δy + ½ × Convexity × (Δy)²
Since the barbell has higher convexity, it benefits more from the squared term when Δy is large.