Mitchell Inc. issued 60, 6%, $1,000 bonds on January 1, 2020. The bonds pay cash interest annually each December 31 and were issued to yield 5%. The bonds mature December 31, 2024, and the company uses the effective interest method to amortize bond discounts or premiums.
Required
a. Determine the selling price of the bonds. Round amount to the nearest whole dollar.
b. Prepare an amortization schedule for the full bond term.
c. Prepare journal entries on the following dates.
1. January 1, 2020, bond issuance.
2. December 31, 2020, interest payment.
3. December 31, 2021, interest payment.
Bond characterstics | Amount | ||||||
1-a) | Principal | 60,000 | |||||
interest | 3,600 | ||||||
Market interest rate | 5% | ||||||
periods to maturity | 5 | ||||||
issue price | 62,598 | ||||||
Calculation of bond issue price | |||||||
Where | |||||||
i= | 5.00% | ||||||
t= | 5 | ||||||
principal | * | PV of $1 at 6% for 30 yrs = | |||||
60,000 | * | 0.78353 | = | 47012 | |||
interest | * | PV of ordinary annuity at 6%= | |||||
3600 | * | 4.32948 | = | 15586 | |||
bond issue price | 62598 |
Cash | interest | premium | Carrying | ||||
Date | paid | expense | amortized | value | |||
1/1/2020 | 62,598 | ||||||
12/31/2020 | 3,600 | 3130 | 470 | 62,128 | |||
12/31/2021 | 3,600 | 3106 | 494 | 61,634 | |||
Date | Account titles & Explanations | Debit | Credit | ||||
1/1/2020 | Cash | 62,598 | |||||
premium on bonds | 2,598 | ||||||
bonds payable | 60,000 | ||||||
12/31/2020 | interest expense | 3130 | |||||
premium on bonds payable | 470 | ||||||
cash | 3,600 | ||||||
12/31/2021 | interest expense | 3106 | |||||
premium on bonds payable | 494 | ||||||
cash | 3600 |
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