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 contract calls for four rent payments of $17,500 each, payable semiannually on June 30 and December 31 each year. The computers were acquired by ComputerWorld at a cost of $105,000 and were expected to have a useful life of six years with no residual value. Both firms record amortization and depreciation semiannually. (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.)

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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