Question

On January 1, 2018, a machine was purchased for $105,000. The machine has an estimated salvage...

On January 1, 2018, a machine was purchased for $105,000. The machine has an estimated salvage value of $8,100 and an estimated useful life of 5 years. The machine can operate for 114,000 hours before it needs to be replaced. The company closed its books on December 31 and operates the machine as follows: 2018, 22,800 hrs; 2019, 28,500 hrs; 2020, 17,100 hrs; 2021, 34,200 hrs; and 2022, 11,400 hrs.

Compute the annual depreciation charges over the machine’s life assuming a December 31 year-end for each of the following depreciation methods. (Round answers to 0 decimal places, e.g. 45,892.)

1. Straight-line Method

$

2. Activity Method
Year
2018

$

2019

$

2020

$

2021

$

2022

$

3. Sum-of-the-Years'-Digits Method
Year
2018

$

2019

$

2020

$

2021

$

2022

$

4. Double-Declining-Balance Method
Year
2018

$

2019

$

2020

$

2021

$

2022

$

eTextbook and Media

  

  

Assume a fiscal year-end of September 30. Compute the annual depreciation charges over the asset’s life applying each of the following methods. (Round answers to 0 decimal places, e.g. 45,892.)

Year

Straight-line Method

Sum-of-the-years'-digits method

Double-declining-balance method

2018

$

$

$

2019
2020
2021
2022
2023

Homework Answers

Answer #1
CALCULATION OF THE DEPRECIATION AS PER STRAIGHT LINE METHOD
Purchase Cost of Equipment = $                       105,000
Less: Salvage Value $                            8,100
Net Value for Depreciation (A) $                         96,900
Useful life of the Assets (B)                                        5 Years
Depreciation per year = Value for Depreciation (A/B) $                         19,380
Year   Assets Cost Depreciation Expenses Accumulated Depreciation Book Value
Purchase                             105,000 $             105,000
Year 2018 $              19,380 $           19,380 $               85,620
Year 2019 $              19,380 $           38,760 $               66,240
Year 2020 $              19,380 $           58,140 $               46,860
Year 2021 $              19,380 $           77,520 $               27,480
Year 2022 $              19,380 $           96,900 $                  8,100
CALCULATION OF THE DEPRECIATION AS PER UOP METHOD
Purchase Cost of Equipment = $                       105,000
Less: Salvage Value = $                            8,100
Net Value for Depreciation (A) $                         96,900
Expected to Produce in Units (B)                           114,000 Hrs
Depreciation per Units = (A/B) $                              0.85 Per Hours
Year   Units Depreciable Units X Rate Per Unit = Depreciation Expenses Accumulated Depreciation Book Value  
Year 2018                              22,800                  22,800 X $                0.85 = $               19,380 $             19,380 $           85,620
Year 2019                              28,500                  28,500 X $                0.85 = $               24,225 $             43,605 $           61,395
Year 2020                              17,100                  17,100 X $                0.85 = $               14,535 $             58,140 $           46,860
Year 2021                              34,200                  34,200 X $                0.85 = $               29,070 $             87,210 $           17,790
Year 2022                              11,400                  11,400 X $                0.85 = $                  9,690 $             96,900 $             8,100
CALCULATION OF THE DEPRECIATION AS PER DOUBLE DECLINE METHOD
Purchase Cost of Equipment = $                       105,000
Rate of Depreciation =
Rate of Depreciation = (1 / 5 Years ) 0.20 or 20%
(Depreciation / Purchase price )
Double decline deprecation rate = 20.00% * 2 = 40.0%
Year   Assets Cost Beginning Book Value X Rate of Depreciation = Depreciation Expenses Accumulated Depreciation Book Value  
Purchase                             105,000 $        105,000
Year 2018 $            105,000 X 40.00% = $               42,000 $             42,000 $           63,000
Year 2019 $              63,000 X 40.00% = $               25,200 $             67,200 $           37,800
Year 2020 $              37,800 X 40.00% = $               15,120 $             82,320 $           22,680
Year 2021 $              22,680 X 40.00% = $                  9,072 $             91,392 $           13,608
Year 2022 $              13,608
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