In: Accounting
Johnson, Inc.
1)Semiannual months: 5* 2 =10
Semiannual Interest : 100000*.09*6/12 = 4500
semiannual yield : 11*6/12 =5.5%
Present value of Principal :PVF 5.5%,10 * Face value
= .58543*100000
= $ 58543
Present value of Interest : PVA 5.5%,10*Interest
= 7.53763*4500
= 33919.34
price :33919.34+58543 = $ 92462.34 [Rounded to 92462]
2)
Date | Interest paid [A] | Interest expense [B]:[D*.055] | Discount amortised [C] = [B-A] | Bond carrying amount [D]=Last carrying value +C | |
jan 1 2017 | 92462 | ||||
30 june 2017 | 4500 | 92462*.055= 5085.41 | 5085.41-4500=585.41 | 92462+585.41= 93047.41 | |
1 Jan 2018 | 4500 | 5117.61 [93047.41*.055] | 617.61 [5117.61-4500] | 93665.02 [93047.41+617.61] | |
30 june 2018 | 4500 | 5151.58 | 651.58 | 94316.60 | |
1 Jan 2019 | 4500 | 5187.41 | 687.41 | 95004.01 | |
30 june 2019 | 4500 | 5225.22 | 725.22 | 95729.23 | |
1 Jan 2020 | 4500 | 5265.11 | 765.11 | 96494.34 | |
30 june 2020 | 4500 | 5307.19 | 807.19 | 97301.53 | |
1 Jan 2021 | 4500 | 5351.58 | 851.58 | 98153.11 | |
30 june 2021 | 4500 | 5398.42 | 898.42 | 99051.53 | |
1 Jan 2022 | 4500 | 5448.47 | 948.47 | 100000 |
3)
Date | Account | Debit | credit |
1 jan 2017 | cash | 92462 | |
Discount on bond payable | 7538 | ||
Bond payable | 100000 | ||
[Being bond issued at discount] | |||
30 june 2017 | Interest expense | 5085.41 | |
Discount on bond payable | 585.41 | ||
cash | 4500 | ||
[being first semiannual interest paid] | |||
31 dec 2017 | Interest expense | 5117.61 | |
Discount on bond payable | 617.61 | ||
Interest payable | 4500 | ||
[second semiannual interest accrued] | |||
1jan 2017 | INterest payable | 4500 | |
cash | 4500 |