Question

On January 1, 2017, ARC Inc. issued 100 5-year bonds, with a face value of $1,000 each and a coupon rate of 10%, payable semiannually. The interest is paid on June 30 and December 31 of each year. The market rate of interest at the time that the bonds were issued was 13%, so that the bonds were sold for $892 each.1. Interest expense for the January 1–June 30 period was $_____.

2. Interest expense for the July1–December 31 period was $_____.
3. Book value of Bonds on June 30 was $_____.
4. Book value of Bonds on December 31 was $_____.
5. Interest payment on June 30 was $_____.

Answer 1

ARC Inc.

1. Interest expense for the January 1–June 30 period was $__5,798___.

2. Interest expense for the July 1–December 31 period was $__5,850___.

3. Book value of Bonds on June 30 was $__89,998___.

4. Book value of Bonds on December 31 was $__90,848___.

5. Interest payment on June 30 was $__5,000___.

Step-by-step explanation:

a) Data and Calculations:

January 1, 2017:

Face value of issued bonds = $100,000 ($1,000 * 100)

Coupon rate of interest = 10%

Effective rate of interest = 13%

Price of issued bonds = $89,200 ($892 * 100)

Discount on bonds = $10,800 ($100,000 - $89,200)

Interest payment = June 30 and December 31 (semiannually)

June 30:

Interest expense = $5,798 ($89,200 * 6.5%)

Cash payment = $5,000 ($100,000 * 5%)

Amortization of discount = $798

Value of bonds = $89,998 ($89,200 + $798)

December 31, 2017:

Interest expense = $5,850 ($89,998 * 6.5%)

Cash payment = $5,000 ($100,000 * 5%)

Amortization of discount = $850

Value of bonds = $90,848 ($89,998 + $850)