Part 1:
On January 1 2018, Louis Company issued bonds with a Par Value of $400,000. The coupon interest rate on the bond is 10%, and it has a maturity of 3 years.
Interest is paid semiannually on June 30th and December 31 of each year.
Value of Bond @ 8%=
Value of Bond @10%=
Part 2:
From part 1, using the effective interest method, show how the bond premium would be amortized over the life of the bond. Fill in the following table to do this. Please round any amounts to the nearest $.
A |
B |
C |
D |
E |
|
Interest Date |
Cash Interest Payment |
Interest Expense |
Premium Amortization |
Premium A/C Balance |
Bond Carrying Amount |
1/1/2018 |
|||||
6/30/2018 |
|||||
12/31/2018 |
|||||
6/30/2019 |
|||||
12/31/2019 |
|||||
6/30/2020 |
|||||
12/31/2020 |
Annuity PVF at 4% for 6 periods | 5.24214 | |||||
PVF at 4% for 6th periiod | 0.790315 | |||||
Present value of Maturity (400000*0.790315) | 316126 | |||||
Present value of interest (400000*5%) | 104842.8 | |||||
Value f bonds at 8% | 420968.8 | |||||
Annuity PVF at 5% for 6 periods | 5.07569 | |||||
PVF at 5% for 6th periiod | 0.746215 | |||||
Present value of Maturity (400000*0.746215) | 298486 | |||||
Present value of interest (400000*5%) | 101513.8 | |||||
Value f bonds at 10% | 399999.8 | |||||
Req 2. | ||||||
Date | Cash Int | Int expense | premium | Unamortized | Bond | |
Amortized | Ppremium | Carrying amount | ||||
01.01.18 | 20969 | 420969 | ||||
30.06.18 | 20000 | 16839 | 3161 | 17808 | 417808 | |
31.12.18 | 20000 | 16712 | 3288 | 14520 | 414520 | |
30.06.19 | 20000 | 16581 | 3419 | 11101 | 411101 | |
31.12.19 | 20000 | 16444 | 3556 | 7545 | 407545 | |
30.06.20 | 20000 | 16302 | 3698 | 3847 | 403847 | |
31.12.20 | 20000 | 16153 | 3847 | 0 | 400000 |
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