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 |