Problem 14-05
In each of the following independent cases, the company closes its books on December 31.
Metlock Co. sells $534,000 of 8% bonds on March 1, 2020. The
bonds pay interest on September 1 and March 1. The due date of the
bonds is September 1, 2023. The bonds yield 12%. Give entries
through December 31, 2021.
Prepare a bond amortization schedule using the effective-interest
method for discount and premium amortization. Amortize premium or
discount on interest dates and at year-end.
Schedule of Bond Discount Amortization
Effective-Interest Method
Bonds Sold to Yield
date | cash paid | interest expense | discount amortized | carrying amount of bonds |
3/1/20 | ||||
9/1/20 | ||||
3/1/21 | ||||
9/1/21 | ||||
3/1/22 | ||||
9/1/22 | ||||
3/1/23 | ||||
9/1/23 |
Prepare all of the relevant journal entries from the time of sale until December 31, 2021. (Assume that no reversing entries were made.)
3/1/20
cash
discount on bonds payable
bonds payable
9/1/20
interest expense
discounts on bonds payable
cash
12/31/20
interest expense
interest payable
discount on bonds payable
3/1/21
interest payable
interest expense
cash
discounts on bonds payable
9/1/21
interest expense
cash
discounts on bonds payable
12/31/21
interest expense
interest payable
discounts on bonds payable
Issue price of the bond=Present value of interest payment+Present value of maturity value at repayment | ||||||||
Interest expense=Maturity value*Coupon rate*period=534000*8%*6/12=$ 21360 | ||||||||
Number of semi-annual periods=7 | ||||||||
Discount rate=Yield per semi-annual period=12*6/12=6% | ||||||||
Present value of interest payment=Present value of $ 21360 at 6% for 7 years=21360*5.58238=$ 119240 | ||||||||
Present value of maturity value at repayment=Present value of $534000 at 6% for 7th year=534000*0.66506=$ 355142 | ||||||||
Issue price of the bond=119240+355142=$ 474382 | ||||||||
Discount on issue=Face value-issue price=534000-474382=$ 59618 | ||||||||
Schedule of bond discount amortization | ||||||||
Date | Cash paid | Interest expense | Discount amortized | Carrying amount of bonds | ||||
3/1/20. | 474382 | |||||||
9/1/20. | 21360 | 28463 | 7103 | 481485 | ||||
3/1/21. | 21360 | 28889 | 7529 | 489014 | ||||
9/1/21. | 21360 | 29341 | 7981 | 496995 | ||||
3/1/22. | 21360 | 29820 | 8460 | 505455 | ||||
9/1/22. | 21360 | 30327 | 8967 | 514422 | ||||
3/1/23. | 21360 | 30865 | 9505 | 523927 | ||||
9/1/23. | 21360 | 31433 | 10073 | 534000 | ||||
Cash paid=534000*8%*6/12=$ 21360 | ||||||||
Interest expense=Beginning carrying value*6% | ||||||||
Discount amortized=Interest expense-Cash paid | ||||||||
Carrying amount of bonds=Beg. Carrying amount+Discount amortized | ||||||||
Journal entries: | ||||||||
Date | Account titles and explanation | Debit | Credit | |||||
3/1/20. | Cash | 474382 | ||||||
Discount on bonds payable | 59618 | |||||||
Bonds payable | 534000 | |||||||
(Issue of bonds at discount) | ||||||||
9/1/20. | Interest expense | 28463 | ||||||
Discount on bonds payable | 7103 | |||||||
Cash | 21360 | |||||||
(Interest on bonds paid) | ||||||||
12/31/20. | Interest expense | (28889*4/6) | 19259 | |||||
Interest payable | 19259 | |||||||
(Interest accrued for 4 months) | ||||||||
3/1/21. | Interest expense | (28889*2/6) | 9630 | |||||
Interest payable | 19259 | |||||||
Discount on bonds payable | 7529 | |||||||
Cash | 21360 | |||||||
(Interest on bonds paid) | ||||||||
9/1/21. | Interest expense | 29341 | ||||||
Discount on bonds payable | 7981 | |||||||
Cash | 21360 | |||||||
(Interest on bonds paid) | ||||||||
12/31/21. | Interest expense | (29820*4/6) | 19880 | |||||
Interest payable | 19880 | |||||||
(Interest accrued for 4 months) | ||||||||
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