1 answer

Amber Mining and Milling, Inc., contracted with Truax Corporation to have constructed a custom-made lathe. The...

Question:

Amber Mining and Milling, Inc., contracted with Truax Corporation to have constructed a custom-made lathe. The machine was completed and ready for use on January 1, 2021. Amber paid for the lathe by issuing a $750,000, three-year note that specified 4% interest, payable annually on December 31 of each year. The cash market price of the lathe was unknown. It was determined by comparison with similar transactions that 9% was a reasonable rate of interest. (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-a. Complete the table below to determine the price of the equipment.
1-b. Prepare the journal entry on January 1, 2021, for Amber Mining and Milling’s purchase of the lathe.
2. Prepare an amortization schedule for the three-year term of the note.
3. Prepare the journal entries to record (a) interest for each of the three years and (b) payment of the note at maturity.


Answers

Requirement 1a:

Interest payment = $750,000 x 4% = $30,000

Present value of interest payments $75,939
[$30,000 x 2.53129 present value annuity factor (9%, 3 years)]
Present value of Face value $579,135
[$750,000 x 0.77218 present value factor (9%, 3 years)]
Price of the equipment $655,074

Requirement 1b:

Date Account title and Explanation Debit Credit
Jan 1,2021 Equipment $655,074
Discount on bonds payable $94,926
Bonds payable $750,000
[To record issuance of bonds for equipment]

Requirement 2:


Date
Cash
Payment
Effective
Interest
Discount amortized Carrying value
1/1/21 $655,074
12/31/21 $30,000 $58,957 $28,957 $684,031
12/31/22 $30,000 $61,563 $31,563 $715,593
12/31/23 $30,000 $64,403 $34,407* $750,000
Total $90,000 $184,923 $94,926

*rounded by adding 4 for calculations

Cash payment = $750,000 x 4% = $30,000

Effective interest = Preceding carrying value x 9%

Discount amortized = Effective interest - Cash payment

Carrying value = Preceding carrying value + Discount amortized

Requirement 3:

(a) Date Account title and Explanation Debit Credit
Dec 31,2021 Interest expense $58,957
Discount on bonds payable $28,957
Cash $30,000
[To record interest payment]
Dec 31,2022 Interest expense $61,563
Discount on bonds payable $31,563
Cash $30,000
[To record interest payment]
Dec 31,2023 Interest expense $64,403
Discount on bonds payable $34,407
Cash $3,000
[To record interest payment]
(b) Date Account title and Explanation Debit Credit
Dec 31,2023 Notes payable $750,000
Cash $750,000
[To record payment of note at maturity]
.

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