Answer:
- Straight-line method: $36,667 yearly depreciation expense for 3 years.
- Unit-of-production method: Year 1 - $47,850, Year 2 - $40,590, Year 3 - $21,560
- Double-declining method: Year 1 - $77,737, Year 2 - $25,910, Year 3 - $6,353
Total for 3 years is $110,000 for all the depreciation methods.
Explanation:
(A) Under straight-line method, depreciation expense is (cost - residual value) / Estimated useful life = ($116,600 - $6,600) / 3 years = $36,667 yearly depreciation expense.
Accumulated depreciation for 3 years is $36,667 x 3 years is $110,000.
(B) The unit-of-production method is used when the asset value closely relates to the units of output it is able to produce. It is expressed with the formula below:
(Original Cost - Salvage value) / Estimated production capacity x Units/year
At Year 1, depreciation expense (DE) is: ($116,600 - $6,600) / 20,000 operating hours x 8,700 hours = $47,850
At Year 2, depreciation expense (DE) is: ($116,600 - $6,600) / 20,000 operating hours x 7,380 hours = $40,590
At Year 3, depreciation expense (DE) is: ($116,600 - $6,600) / 20,000 operating hours x 3,920 hours = $21,560
Accumulated depreciation for 3 years is $47,850 +$40,590 + $21,560 = $110,000.
Note that this depreciation method results in higher depreciation charge when the asset is heavily used, at this time, it was in Year 1.
(C) The double-declining method is otherwise known as the reducing balance method and is given by the formula below:
Double declining method = 2 X SLDP X BV
SLDP = straight-line depreciation percentage
BV = Book value
SLDP is 100%/3 years = 33.33%, then 33.33% multiplied by 2 to give 66.67% or 2/3
At Year 1, 66.67% X $116,600 = $77,737
At Year 2, 66.67% X $38,863 ($116,600 - $77,737) = $25,910
At Year 3, 66.67% X $12,953 ($38,863 - $25,910) = $8,636. This depreciation will decrease the book value of the asset below its salvage value $12,953 - $8,636 = $4,317 < $6,600. Depreciation will only be allowed up to the point where the book value = salvage value. Consequently the depreciation for Year 3 will be $6,353.
Accumulated depreciation for 3 years is $77,737 + $25,910 + $6,353 = $110,000.
