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 effective duration for Bond X is closest to:

A. 0.67.

B. 2.21.

C. 4.42.

Transcribed Image Text:

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