To calculate the coupon payments of a bond, you can use the following formula:
Coupon Payment = Face Value x Coupon Rate / Number of Payments per Year
In this case, the face value of the bond is $10,000, the coupon rate is 4.5% (or 0.045 as a decimal), and since the bond pays interest semiannually, the number of payments per year is 2.
Substituting the values into the formula:
Coupon Payment = $10,000 x 0.045 / 2
Coupon Payment = $10,000 x 0.0225
Coupon Payment = $225
Therefore, the coupon payments for this bond will be $225 every six months.
Since the bond has a 30-year maturity, you will receive 60 coupon payments (2 payments per year for 30 years). The total amount received from all coupon payments over the entire duration of the bond would be $225 x 60 = $13,500. This structure reflects the predictable income that bonds provide over their lifespan.