Respuesta :
If on January 1, 2021, Nath-Langstrom Services, Inc., a computer software training firm, leased several computers under a two-year operating lease agreement from ComputerWorld Leasing, which routinely finances equipment for other firms at an annual interest rate of 4%. The appropriate journal entries recorded by Nath-Langstrom Services and ComputerWorld Leasing for the first year of the lease are:
First step is to determine the present value using this formula
Present value of lease payment=P[1-(1+r)^-n/r]
Where:
Payment(p)=$17,500
Rate of interest(r)=4%
Semi annual interest rate=4%/2=2%
Number of payment period(n)=4years
Let plug in the formula
Present value of lease payment=$17,500[1-(1+2%)^-4/2%]
Present value of lease payment=$17,500[1-(1.02)-^4/0.02%]
Present value of lease payment=$17,500×3.8077
Present value of lease payment=$66,634.75
Second step is to prepare the Amortization schedule
Date Payment Interest at 2% Decrease in balance Outstanding balance
1/1/2021 - - - $66,634.75
6/30/2021 $17,500 $1,332.695 $16,167.305 $50,467.445
12/31/2021 $17,500 $1,009.3489 $16,490.6511 $33,976.7939
6/30/2022 $17,500 $679.535878 $16,820.4641 $17,156
12/31/2022 $17,500 $343.12659 $17,156 $0
Interest at 2% on outstanding balance
6/30/2021 $66,634.75×2%=$1,332.695
12/31/2021 $50,467.445×2%=$1,009.3489
6/30/2022 $33,976.7939×2%=$679.535878
12/31/2022 $17,153×2%=$343.12659556
Decrease in balance
6/30/2021 $17,500-$1,332.695=$16,167.305
12/31/2021 $17,500-$1,009.3489=$16,490.6511
6/30/2022 $17,500-$679.535878=$16,820.464
12/31/2022 %17,500-$343.126595=$17,156
Outstanding balance
6/30/2021 $66,634.37-$16,167.305=$50,467.445
12/31/2021 $50,467.445-$16,490.6511=$33,976.7939
6/30/2022 $16,820.464122-$33,974.05=$17,156.329778
12/31/2022 $17,156-$17,156=$0
1) Preparation of the appropriate journal entries recorded by Nath-Langstrom Services for the first year of the lease
Jan 1, 2021
Dr Right of use asset $66,634.37
Cr Lease payable $66,634.37
June 30
Dr Interest expense $1,009.3489
Dr Lease payable $16,490.6511
Cr Cash $17,500
Dr Amortization expense $16,490.6511
Cr Right to use assets $16,490.6511
Dec 31
Dr Interest expense $1,332.695
Dr Lease payable $16,167.305
Cr Cash $17,500
Dr Amortization expense $16,167.305
Cr Right to use assets $16,167.305
2. Preparation of the appropriate journal entries recorded by ComputerWorld Leasing for the first year of the lease
June 30, 2021
Dr Cash $17,500
Cr Lease revenue $17,500
Dr Depreciation expense $8,750
Cr Accumulated depreciation $8,750
[($105,000/6 years)/2]
Dec 31
Dr Cash $17,500
Cr Lease revenue $17,500
Dr Depreciation expense $8,750
Cr Accumulated depreciation $8,750
[($105,000/6 years)/2]
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