Solution:
1)
Interest | $ 20,000,000 x 15.04630 (see note 1) | $ 300,926,000 |
Principal | $ 400,000,000 x 0.09722 (see note 2) | $ 38,888,000 |
Present value of bonds | Total | $ 339,814,000 |
Note 1:
Interest calculation = $ 400,000,000 x 10% x (6/12) = $ 20,000,000
Present value of an ordinary annuity of $1: n = 40, i = 6% (PVA of $1) = 15.04630
Note 2:
Present value of $1: n = 40, i = 6% (PV of $1) = 0.09722
2) Bonds will be issued at discount because the present value of inflows is less than the face value. The Discount on bonds account should be amortized to interest expense over the life of the bond. The amortization will cause the bond value to increase from $ 339,814,000 on January 1, 2021 to $ 400,000,000 just prior to maturing of bond on December 31,2040
a) Journal entry for Issuance of bonds
Date | Journal | Debit | Credit |
Jan 1, 2021 | Cash | $ 339,814,000 | |
Discount on bonds (Balancing Fig.) | $ 60,186,000 | ||
Bonds Payable | $ 400,000,000 | ||
(Being bonds issued by McWherter at present value of bonds) |
b) Journal entry for Blanton's Investment
Date | Journal | Debit($) | Credit($) |
Jan 1, 2021 | Investment in bonds | 400,000 | |
Discount on bond investment (Balancing Fig.) | 60,186 | ||
Cash ( 0.1% x $ 339,814,000) | 339,814 | ||
(Being $400,000 bonds purchased which is 0.1% of the total value of bonds issued ) |
3) We record interest expense at effective rate of interest which is the market rate of interest. Here it is 6% for each semi - annual period. However the corporation must make an interest payment of 5% per semi annual period.The difference between the above two amounts will be the amortization.
Journal entry to record interest expense on June 30, 2021
a)
Date | Journal | Debit($) | Credit($) |
June 30, 2021 | Interest Expense ( 6% of $ 339,814,000) | 20,388,840 | |
Discount on bonds (Balancing Fig.) | 388,840 | ||
Cash ( 5% x $ 400,000,000) | 20,000,000 | ||
(Being interest paid at 10% for 6 months i.e,at 5% and interest expense charged at market yield , difference used to write off the discount on bonds ) |
b)
Date | Journal | Debit($) | Credit($) |
June 30, 2021 | Cash ( 5% of 400,000) | 20,000 | |
Discount on bond investment (Balancing Fig.) | 389 | ||
Interest Revenue ( 6% of 339,814) | 20,389 | ||
(Being interest received at 10% for 6 months i.e,at 5% and interest revenue realized at market yield , difference used to write off the discount on bonds ) |
4)
a)
Date | Journal | Debit($) | Credit($) |
December 31, 2021 | Interest Expense [6% of $ (339,814,000 + 388,840)] | 20,412,170 | |
Discount on bonds (Balancing Fig.) | 412,170 | ||
Cash ( 5% x $ 400,000,000) | 20,000,000 | ||
(Being interest paid at 10% for 6 months i.e,at 5% and interest expense charged at market yield , difference used to write off the discount on bonds ) |
b)
Date | Journal | Debit($) | Credit($) |
December 31, 2021 | Cash ( 5% of 400,000) | 20,000 | |
Discount on bond investment (Balancing Fig.) | 412 | ||
Interest Revenue [ 6% of (339,814 + 389)] | 20,412 | ||
(Being interest received at 10% for 6 months i.e,at 5% and interest revenue realized at market yield , difference used to write off the discount on bonds ) |
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