Face Value of the Bond= $100000
Rate of Interest payable = 7% per annum paid at the end of each year
Issue date of the Bond = Jan 1 2020
Band is due on Dec 31, 2024
Market rate of Band = 5%
A. Computation of Present value of the Bond:
S.No | Discription | Amount | Present value Factor@5% | Present value |
1 | PV of Interest | 7000 | 4.3295 | 30306.50 |
2 | PV of Principal | 100000 | 0.7835 | 78350 |
PV of Bond | 108656.50 |
The Bond Premium = 108656.50-100000 = 8656.50
B. Interest payments and Amortisation of Premiums:
Period | Cash paid | Interest Expense | Premium Amortised | Bonds Payable | Premium Balance | Carrying value |
Jan 1 , 2020 | 8656.50 | 108656.50 | ||||
Dec 31, 2020 | 7000 | 5432.82 | 1567.18 | 108656.50 | 7089.32 | 107089.32 |
Dec 31, 2021 | 7000 | 5354.47 | 1645.53 | 107089.32 | 5443.79 | 105443.79 |
Dec 31, 2022 | 7000 | 5272.19 | 1727.81 | 105443.79 | 3715.98 | 103715.98 |
Dec 31, 2023 | 7000 | 5185.80 | 1814.20 | 103715.98 | 1901.78 | 101901.78 |
Dec 31, 2024 | 7000 | 5098.22 | 1901.78 | 101901.78 | __ | 100000 |
C. Bond amortisation schedule:
Here it is given that
The coupon rate of Interest =9%
Market rate = 7%
Keeping the remaining values given in the question are same,
The Value of the bond is
S.No | Discription | Amount | Present value Factor@7% | Present value |
1 | PV of Interest | 9000 | 4.100 | 36900 |
2 | PV of Principal | 100000 | 0.7130 | 71300 |
PV of Bond | 108200 |
The Premium = 108200-100000= 8200
The Schedule of Premium and amortisation :
Period | Cash paid | Interest Expense | Premium Amortised | Bonds Payable | Premium Balance | Carrying value |
Jan 1 , 2020 | 8200 | 108200 | ||||
Dec 31, 2020 | 9000 | 7574 | 1426 | 108200 | 6774 | 106774 |
Dec 31, 2021 | 9000 | 7474.18 | 1525.82 | 106774 | 5248.18 | 105248.18 |
Dec 31, 2022 | 9000 | 7367.37 | 1632.63 | 105248.18 | 3615.55 | 103615.55 |
Dec 31, 2023 | 9000 | 7253.09 | 1746.91 | 103615.55 | 1868.64 | 101868.64 |
Dec 31, 2024 | 9000 | 7131.36 | 1868.64 | 101868.64 | __ | 100000 |
D. Jornal Entry at the time of issue
Jan 1, 2020 Cash dr 108656.50
to Bond payable 100000
to Premium on bond payable 8656.50
At the time of interest payment every year , the following entry will be passed.
For the payment of interest on Dec 31 2020
Dec 31, 2020 Interest Expense dr 5432.82
Premium on bonds payable Dr 1567.18
To Cash 7000
Dec 31, 2021 Interest Expense dr 5354.47
Premium on bonds payable Dr 1645.53
To Cash 7000
Dec 31, 2022 Interest Expense dr 5272.19
Premium on bonds payable Dr 1727.81
To Cash 7000
Dec 31, 2023 Interest Expense dr 5185.80
Premium on bonds payable Dr 1814.20
To Cash 7000
Dec 31, 2024 Interest Expense dr 5098.22
Premium on bonds payable Dr 1901.78
To Cash 7000
At the time of payment of principal
Dec 31, 2024 Bonds payable Dr 100000
to Cash 100000
In this entry there will not be any Premium on Bonds payable. It ia because we have already passed saperate entry to this effect at the time of passing entry for the payment of interest expence. With that entry, the total amount of premium was already completely amortised. Hence, there will not be any balance in the remium on bonds payable account.
D. Prepare the Journal entry for the issuance of the band subsequent payments of interest and...
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