Walker Incorporated sold $500,000 of 10% bonds on January 1, 2020 for a price that yields a 12% interest rate. The bonds pay interest semi-annually on June 30 and December 31. The bonds are due December 31, 2024. Walker uses the effective interest method.
Instructions:
1. Determine the selling price of the bonds on January 1, 2020.
2. Prepare an amortization schedule using the effective interest method.
3. Prepare the journal entries for 2020.
4. Assume the company reacquired the bonds on July 1, 2023, at 104 and prepare journal entry to record the retirement of the bonds.
5. Assume Walker Incorporated used the straight-line method to amortize the premium or discount. Prepare the journal for June 30, 2020 to record interest expense.
Solution
Walker Incorporated
Selling price of bonds = present value of bonds + present value of interest payments
Present value of bonds = face value x (P/F, 6%, 10)
N = 5 x 2 semi-annual periods = 10
Effective interest rate = 12% x 6/12 = 6%
Face value of bonds = $500,000
Present value of bonds = 500,000 x (P/F, 6%, 10)
= 500,000 x 0.5584 = $279,200
Present value of interest payments –
Semi-annual interest payments = 500,000 x 10% x 6/12 = $25,000
Present value of interest payments = 25,000 x (P/A, 6%, 10)
= 25,000 x 7.36 = $184,000
Selling price of bonds = 279,200 + 184,000 = $463,200
Selling price of the bonds = $463,200
Discount on bonds payable = 500,000 – 463,200 = $36,800
Amortization Schedule |
||||
Date |
Interest Payment |
Interest Expense |
Discount Amortization |
Carrying value of bonds |
Jan 1, 2020 |
- |
- |
- |
4,63,200 |
June 30, 2020 |
25,000 |
27,792 |
$2,792 |
$465,992 |
Dec 31, 2020 |
$25,000 |
$27,960 |
$2,960 |
$468,952 |
June 30, 2021 |
$25,000 |
$28,137 |
$3,137 |
$472,089 |
Dec 31, 21 |
$25,000 |
$28,325 |
$3,325 |
$475,414 |
June 30, 22 |
$25,000 |
$28,525 |
$3,525 |
$478,939 |
Dec 31, 22 |
$25,000 |
$28,736 |
$3,736 |
$482,675 |
June 30, 23 |
$25,000 |
$28,961 |
$3,961 |
$486,636 |
Dec 31, 23 |
$25,000 |
$29,198 |
$4,198 |
$490,834 |
June 30, 24 |
$25,000 |
$29,450 |
$4,450 |
$495,284 |
Dec 31, 24 |
$25,000 |
$29,717 |
$4,717 |
$500,000 |
total |
$250,000 |
2,58,276 |
$36,800 |
|
Note: interest expense = 6% x carrying value of bond
Discount amortization = interest expense – interest payment
Carrying value beginning carrying value + discount amortization
Date |
Account Titles and Explanation |
Debit |
Credit |
Jan 1, 2020 |
Cash |
$463,200 |
|
Discount on Bonds Payable |
$36,800 |
||
Bonds Payable |
$500,000 |
||
(To record issue of bonds) |
|||
June 30, 2020 |
Interest Expense |
$27,792 |
|
Discount on Bonds Payable |
$2,792 |
||
Cash |
$25,000 |
||
(To record semi-annual interest payment) |
|||
Dec 31, 2020 |
Interest Expense |
$27,960 |
|
Discount on Bonds Payable |
$2,960 |
||
Cash |
$25,000 |
||
(To record second interest payment) |
Date |
Account Titles and Explanation |
Debit |
Credit |
July 1, 2023 |
Bonds Payable |
$500,000 |
|
Loss on Retirement of Bonds |
$33,365 |
||
Cash |
$520,000 |
||
Discount on Bonds Payable |
$13,365 |
Computations:
Book value of bond at July 1, 2023 = face value – unamortized discount
Face value = 500,000
Unamortized discount on bonds payable = 13,365 (3,961 + 4,198 + 4,450 + 4,717)
Bonds net carrying value = $486,635
Reacquired value = $500,000 x 104% = 520,000
Loss on bond reacquisition = 520,000 – 486,635 = $33,365
Entry on June 30, 2020:
Date |
Account Titles and Explanation |
Debit |
Credit |
June 30, 2020 |
Interest Expense |
$28,680 |
|
Discount on Bonds Payable |
$3,680 |
||
Cash |
$25,000 |
||
(To record semi-annual interest payment) |
Computations:
Straight line method of discount amortization –
Discount on bonds payable = $36,800
Period = 10
Discount amortization for each semi-annual period = 36,800/10 = $3,680
Payment of interest = $25,000
Interest expense = 28,680
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