Answer:
10%
Explanation:
Since the bond is selling at a discount, it means that the coupon rate is blow the market rate, so the actual rate must be higher. Since there is only one option with an interest rate above 9%, we must check to see if it works.
10% yearly interest rate = 5% semiannual interest rate
we must determine the PV of the 20 coupons paid and the face value at maturity.
to calculate the PV of the 20 coupons ($45 each) we can use an excel spreadsheet and the NPV function with a 5% discount rate: PV of the coupons = $560.80
the PV of the face value in 10 years = $1,000 / 1.05²⁰ = $376.89
the present value of the coupons and the bond at maturity = $560.80 + $376.89 = $937.69. The PV using a 5% semiannual rate is very similar to $937.75, and since the question asked us to round up to the nearest whole percent, we can assume it is correct.
