The correct answer is B (3.69%). An effective annual rate (EAR) accounts for compounding within the year. For a semiannual-pay bond, the EAR is calculated as follows:
(1+2yield)2−1=(1+20.0366)2−1=1.036935−1=0.036935 or 3.69%
- Option A (3.63%) is incorrect because it converts the effective annual yield to a semiannual-pay yield, which is not the required calculation.
- Option C (7.45%) is incorrect because it does not divide the yield by 2, leading to an overestimation of the effective annual yield.