(a) Interest payment= 8% * $3000000 = $240000
Under effective interest method, interest expense is calculated based upon market rate or yield. Here, yield is 10%. Now,
Interest expense for all 4 years under effective interest method is:
Year 1:
Interest expense = Carrying value at the beginning of the period * Yield
Interest expense = $2631300 * 10% = $263130
Amortization of bond discount = Interest expense - Interest payment
Amortization of bond discount = $263130 - $240000 = $23130
End of period net carrying value = $2631300 - $23130 = $2608170
Year 2:
Interest expense = $2608170 * 10% = $260817
Amortization of bond discount = $260817 - $240000 = $20817
End of period net carrying value = $2608170 - $20817 = $2587353
Year 3:
Interest expense = $2587353 * 10% = $258735
Amortization of bond discount = $258735 - $240000 = $18735
End of period net carrying value = $2587353 - $18735 = $2568618
Year 4:
Interest expense = $2568618 * 10% = $256862
Amortization of bond discount = $256862 - $240000 = $16862
End of period net carrying value = $2568618 - $16862 = $2551756
Table is given below:
Date | Credit cash | Debit interest expense | Credit bond discount | Carrying amount of bonds |
6/1/16 | 2631300 | |||
5/31/17 | 240000 | 263130 | 23130 | 2608170 |
5/31/18 | 240000 | 260817 | 20817 | 2587353 |
5/31/19 | 240000 | 258735 | 18735 | 2568618 |
5/31/20 | 240000 | 256862 | 16862 | 2551756 |
(b) On December 31, 2018, we will prorate the amount of discount amortization and interest expense for 7 months period (i.e. June 1, 2018 to December 31, 2018).
Interest payment = $3000000 * 6% * 7 / 12 = $140000
Interest expense (On bond amortization amount from June 1 2018 to May 31, 2019, i.e $258735) = $258735 * 7 / 12 = $150929
Required journal entries are:
Date | Description | Debit | Credit |
December 31, 2018 | Interest expense | 150929 | |
Interest payable | 140000 | ||
Discount on bonds payable | 10929 | ||
(for recording interest accrual and discount amortization for June 1 to December 31, 2018) |
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