In: Accounting
On January 1, 2018, Swan Company issued bonds with the following characteristics: | ||||||||||||||||||||||||||||||||||||||||||||||||
Face Value (per bond) | $ 1,000 | |||||||||||||||||||||||||||||||||||||||||||||||
Number of bonds issued | 2,000 | |||||||||||||||||||||||||||||||||||||||||||||||
Coupon (stated) rate | 7% | |||||||||||||||||||||||||||||||||||||||||||||||
Maturity date | 5 | |||||||||||||||||||||||||||||||||||||||||||||||
Interest payments | Annually | |||||||||||||||||||||||||||||||||||||||||||||||
Prevailing rate of interest in the market on January 1, 2018 = 8%
|
Total Value of Bonds = No. of bonds x Face value per bond = 2000 x $ 1,000 = $ 2,000,000
Carrying Value / Issue Price is calculated below:
Bond Face Value |
Market Interest rate (applicable for period/term) |
||||||
PV of |
$ 2,000,000.00 |
at |
8.0% |
Interest rate for |
5 |
term payments |
|
PV of $1 |
0.680583197 |
||||||
PV of |
$ 2,000,000.00 |
= |
$ 2,000,000.00 |
x |
0.680583197 |
= |
$ 1,361,166.39 |
Interest payable per term |
at |
7.0% |
on |
$ 2,000,000.00 |
|||
Interest payable per term |
$ 140,000.00 |
||||||
PVAF of 1$ |
for |
8.0% |
Interest rate for |
5 |
term payments |
||
PVAF of 1$ |
3.992710037 |
||||||
PV of Interest payments |
= |
$ 140,000.00 |
x |
3.992710037 |
= |
$ 558,979.41 |
|
Bond Value (A+B) |
$ 1,920,145.80 |
Period |
Interest Payment |
Interest Expense |
Amortization |
Carrying Value |
[A = 2000000 x 7%] |
[B = D x 8%] |
[C = B – A] |
[D = D + C] |
|
1/1/2018 |
$ 1,920,146 |
|||
12/31/2018 |
$ 140,000 |
$ 153,612 |
$ 13,612 |
$ 1,933,757 |
12/31/2019 |
$ 140,000 |
$ 154,701 |
$ 14,701 |
$ 1,948,458 |
12/31/2020 |
$ 140,000 |
$ 155,877 |
$ 15,877 |
$ 1,964,335 |
12/31/2021 |
$ 140,000 |
$ 157,147 |
$ 17,147 |
$ 1,981,481 |
12/31/2022 |
$ 140,000 |
$ 158,519 |
$ 18,519 |
$ 2,000,000 |
Date |
Accounts titles |
Debit |
Credit |
1 Jan 2018 |
Cash |
$ 1,920,146 |
|
Discount on Bonds Payable |
$ 79,854 |
||
Bonds payable |
$ 2,000,000 |