In: Accounting
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a) |
Prepare the journal entry to record the issuance of the bonds and the related bond issue costs incurred on January 1, 2016. |
(b) |
Prepare a bond amortization schedule up to and including January 1, 2017, using the effective-interest method. |
Requirement a:
Date | Account title and explanation | Debit | Credit |
01/01/2016 | Cash | $2,218,415 | |
Bonds payable | $2,090,000 | ||
Premium on bonds payable | $128,415 | ||
[To record issuance of bonds] |
Calculations:
Cash interest = $2,090,000 x 11% = $229,900
Present value of interest payment | $1,412,637 |
[$229,900 x 6.14457 PV annuity factor (10%, 10 years)] | |
Present value of face value | $805,779 |
[$2,090,000 x 0.38554 PV factor (10%, 10 years)] | |
Issue price of the bonds | $2,218,415 |
Requirement b:
Amortization Schedule | ||||
Date | Cash interest | Interest expense | Premium amortization | Carrying value |
1/1/2016 | $2,218,415 | |||
1/1/2017 | $229,900 | $221,842 | $8,059 | $2,210,357 |
1/1/2018 | $229,900 | $221,036 | $8,864 | $2,201,492 |
1/1/2019 | $229,900 | $220,149 | $9,751 | $2,191,741 |
1/1/2020 | $229,900 | $219,174 | $10,726 | $2,181,016 |
1/1/2021 | $229,900 | $218,102 | $11,798 | $2,169,217 |
1/1/2022 | $229,900 | $216,922 | $12,978 | $2,156,239 |
1/1/2023 | $229,900 | $215,624 | $14,276 | $2,141,963 |
1/1/2024 | $229,900 | $214,196 | $15,704 | $2,126,259 |
1/1/2025 | $229,900 | $212,626 | $17,274 | $2,108,985 |
1/1/2025 | $229,900 | $210,915* | $18,985 | $2,090,000 |
$2,299,000 | $2,170,585 | $128,415 |
*rounded to $17.