Erna Smith, a portfolio manager, has two fixed-rate bonds in her portfolio: a callable bond (Bond X) and a putable bond (Bond Y). She wants to examine the interest rate sensitivity of these two bonds to a parallel shift in the benchmark yield curve. Assuming an interest rate volatility of 10%, her valuation software shows how the prices of these bonds change for 30 bps shifts up or down:The price of Bond X is affected:

A. Only by a shift in the one-year par rate.

B. Only by a shift in the three-year par rate.

C. By all par rate shifts but is most sensitive to shifts in the one-year and three-year par rates.

Time to maturity Coupon Type of bond Current price (% of par) Price (% of par) when shifting the benchmark yield curve down by 30 bps Price (% of par) when shifting the benchmark yield curve up by 30 bps Bond X Three years today 3.75% annual from Callable at par one year from today 100.594 101.194 99.860 Bond Y Three years from today 3.75% annual Putable at par one year from today 101.330 101.882 100.924