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McWherter Instruments sold $400 million of 10% bonds, dated January 1, on January 1, 2021. The bonds mature on December 31, 2

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Answer #1

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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