Question

Enviro Company issues 10.50%, 10-year bonds with a par value of $430,000 and semiannual interest payments. On the issue date, the annual market rate for these bonds is 7.50%, which implies a selling price of 127.875. The straight-line method is used to allocate interest expense. 1. Using the implied selling price of 127.875. what are the issuer’s cash proceeds from issuance of these bonds? 2. What total amount of bond interest expense will be recognized over the life of these bonds? 3. What is the amount of bond interest expense recorded on the first interest payment date?

Answer 1

Answer:

1.

549,862.5

2.

$331,637.5

3.

$16,581.87

Explanation:

1.

Cash proceeds = Par Value of the bond x Price ratio to par value

Cash proceeds = $430,000 x 127.875%

Cash proceeds = $549,862.5

2.

Bond Interest expense = Total Coupon payment - Premium on bond

Bond Interest expense = ( $430,000 x 10.50% x 10 ) - ( $549,862.5 - $430,000 )

Bond Interest expense = $451,500 - $119,862.5

Bond Interest expense = $331,637.5

3.

Bond Interest expense = Coupon Payment - Premium on Bond amortization

Bond Interest expense = ( $430,000 x 10.5% x 6/12 ) - ( ( $549,862.5 - $430,000 ) / ( 10 x 2 ) )

Bond Interest expense = $22,575 - $5,993.13

Bond Interest expense = $16,581.87