Final Answer:
Bond J has a coupon rate of 3%, Bond K has a coupon rate of 9%, and both bonds have an 18-year maturity.
Step-by-step explanation:
The coupon rate of a bond represents the annual interest payment as a percentage of the bond's face value. In this case, Bond J has a coupon rate of 3%, while Bond K has a coupon rate of 9%. This means that Bond J pays 3% of its face value annually in interest, and Bond K pays 9%.
To calculate the annual interest payment for each bond, we use the formula:
Annual Interest Payment =
![\left( \frac{\text{Coupon Rate}}{100} \right) * \text{Face Value} \]](https://img.qammunity.org/2024/formulas/business/high-school/oega2olhnmrw7elbpmkl68rea2zsbviopk.png)
For Bond J:
Annual Interest Payment for Bond J =
![\left( (3)/(100) \right) * \text{Face Value} \]](https://img.qammunity.org/2024/formulas/business/high-school/aki03hp1mp8jld1k2zprtmf3x03epc1esx.png)
For Bond K:
Annual Interest Payment for Bond K =
![\left( (9)/(100) \right) * \text{Face Value} \]](https://img.qammunity.org/2024/formulas/business/high-school/s4lt2s65e5qvfcy0mbvglm9euudxf4yzv1.png)
After obtaining the annual interest payments, we can compare the total interest paid by each bond over the 18-year period by multiplying the annual interest payment by the number of years. This comparison will reveal the total interest income generated by each bond over their respective maturities.