On January 4, 2019, Columbus Company purchased new equipment for
$693,000 that had a useful life of four years and a salvage value
of $53,000.
Required:
Prepare a schedule showing the annual depreciation and end-of-year
accumulated depreciation for the first three years of the asset’s
life under the straight-line method, the sum-of-the-years’-digits
method, and the double-declining-balance method.
Analyze:
If the double-declining balance method is used to compute
depreciation, what would be the book value of the asset at the end
of 2020?
1)
STRAIGHT-LINE METHOD | ||||||
Year | Acquisition Cost | Salvage Value | Useful Life | Annual Depreciation | Accumulated Depreciation | |
2019 | $693000 | 53000 | 4 | years | $160000 | $160000 |
2020 | $693000 | 53000 | 4 | years | 160000 | (160000+160000)= 320000 |
2021 | $693000 | 53000 | 4 | years | 160000 | (320000+160000)= 480000 |
Depreciation expense= (Acquisition cost-Salvage value)/Useful life
= $(693000-53000)/4= $160000
2) Sum of Years' digit= 4+3+2+1= 10
Cost less salvage= $693000-53000= $640000
SUM-OF-THE-YEARS'-DIGIT METHOD | ||||
Year | Fraction | Cost Less Salvage | Annual Depreciation | Accumulated Depreciation |
2019 | 4/10 | $640000 | (640000*4/10)= $256000 | $256000 |
2020 | 3/10 | 640000 | (640000*3/10)= 192000 | (256000+192000)= 448000 |
2021 | 2/10 | 640000 | (640000*2/10)= 128000 | (448000+128000)= 576000 |
3) Depreciation rate= 100*2/4= 50%
DOUBLE-DECLINING-BALANCE METHOD | ||||
Year | Beginning Book Value | Rate | Annual Depreciation | Accumulated Depreciation |
2019 | $693000 | 50% | (693000*50%)= $346500 | $346500 |
2020 | (693000-346500)= 346500 | 50% | (346500*50%)= 173250 | (346500+173250)= 519750 |
2021 | (693000-519750)= 173250 | 50% | (173250*50%)= 86625 | (519750+86625)= 606375 |
4) Book value at the end of 2019= Beginning Book Value at the starting of 2019-Accumulated Depreciation at the end of 2020
= $693000-519750
= $173250
On January 4, 2019, Columbus Company purchased new equipment for $693,000 that had a useful life...
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