In: Accounting
I. Company A issues bonds with a par value of $870,000 on their stated issue date. The bonds mature in five years and pay 8% annual interest in semiannual payments.
Assume: On the issue date, the annual market rate for the bonds is 10%.
Company A
Amortization Schedule (10% Market Rate)
Periods |
Interest Payments |
Bond Interest Expense |
Discount Amortization |
Unamortized Discount |
Carrying Value |
Solution 1:
Amount of each semiannual interest payment for these bonds = $870,000 *8%*6/12 = $34,800
Solution 2:
Computation of bond price | |||
Table values are based on: | |||
n= | 10 | ||
i= | 5% | ||
Cash flow | Table Value | Amount | Present Value |
Par (Maturity) Value | 0.613913 | $870,000.00 | $534,105 |
Interest (Annuity) | 7.721735 | $34,800.00 | $268,716 |
Price of bonds | $802,821 |
Solution 3:
Journal Entries | |||
Event | Particulars | Debit | Credit |
1 | Cash Dr | $802,821.00 | |
Discount on issue of bond Dr | $67,179.00 | ||
To Bond Payable | $870,000.00 | ||
(To record issue of bond at discount) |
Solution 4:
Bond Amortization Schedule | |||||
Period | Interest payments | Bond Interest expense | Discoount Amortization | Unamortized Discount | Carrying Value |
0 | $67,179 | $802,821 | |||
1 | $34,800 | $40,141 | $5,341 | $61,838 | $808,162 |
2 | $34,800 | $40,408 | $5,608 | $56,230 | $813,770 |
3 | $34,800 | $40,689 | $5,889 | $50,341 | $819,659 |
4 | $34,800 | $40,983 | $6,183 | $44,158 | $825,842 |
5 | $34,800 | $41,292 | $6,492 | $37,666 | $832,334 |
6 | $34,800 | $41,617 | $6,817 | $30,850 | $839,150 |
7 | $34,800 | $41,958 | $7,158 | $23,692 | $846,308 |
8 | $34,800 | $42,315 | $7,515 | $16,177 | $853,823 |
9 | $34,800 | $42,691 | $7,891 | $8,286 | $861,714 |
10 | $34,800 | $43,086 | $8,286 | $0 | $870,000 |