Universal Foods issued 10% bonds, dated January 1, with a face
amount of $220 million on January 1, 2021. The bonds mature on
December 31, 2040 (20 years). The market rate of interest for
similar issues was 12%. Interest is paid semiannually on June 30
and December 31. Universal uses the straight-line method. (FV of
$1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1)
(Use appropriate factor(s) from the tables
provided.)
Required:
1. Determine the price of the bonds at January 1,
2021.
|
2. to 4. Prepare the journal entries to record their issuance by Universal Foods on January 1, 2021, interest on June 30, 2021 and interest on December 31, 2028.
Answer:
1.)
calculate the present value of face bonds
Particulars | Amount ($) |
Face value of bonds (a) | $220,000,000 |
PV factor at annual market rate of 6% for 40 periods (b) | 0.09722 |
Present value of face value of the bonds (a) x (b) | $21,388,400 |
calculate present value of interest payments
particulars | Amount ($) |
Interest payments amount (a) | $11,000,000 |
PV factor at an annual market rate of 6% for 40 periods (b) | 15.0463 |
Present value of interest payments (a x b) | $165,509,300 |
Working:
calculate the amount of interest payment
Interest payment = face value of bonds x interest rate
=$220,000,000 x 5/100 = 11,000,000
calculate the price of bonds
Price of bonds = (present value of principal +
Present value of interest payments)
=$21,388,400 + $165,509,300
=$186,897,700
2 to 4)
Date | Particulars | Debit ($) | Credit ($) |
Jan-01, 2021 | Cash | $186,897,700 | |
Discount on bonds payable | $33,102,300 | ||
Bonds payable | $220,000,000 | ||
(To record the issuance of bonds) | |||
Jan-30, 2021 | Interest expense | $11,827,558 | |
Discount on bonds payable ($33102300/40) | $827,558 | ||
Cash ($220000000 x 10% x 6/12) | $11,000,000 | ||
(To record payment of semi annual interest) | |||
Dec-31, 2028 | Interest expense | $11,827,558 | |
Discount on bonds payable | $827,558 | ||
Cash | $11,000,000 | ||
(To record payment of semi-annual interest) |
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