Given data
Total cost of the asset (Production Kit) = $152,000
Estimated useful life of the asset = 4 years
Residual value at the end of the useful life of asset = $8,000
a. Calculation of depreciation under straight line method:
Depreciable value of the asset = Total cost of asset - Estimated salvage value of asset
= $152,000 - $8,000 = $144,000
Depreciation rate per year = (1/4) * 100 year useful life = 25%
Annual depreciation = Depreciable value x Depreciation rate per year
= $144,000 x 25% = $36,000
Year | Depreciation Expense | Accumulated Depreciation | Net Book Value |
At Acquisition | $152,000 | ||
1 | $36,000 | $36,000 | $116,000 ($152,000- $36,000) |
2 | $36,000 | $72,000 | $80,000 ($152,000 - $72,000) |
3 | $36,000 | $108,000 | $44,000 ($152,000 - $108,000) |
4 | $36,000 | $144,000 | $8,000 ($152,000 - $144,000) |
b. Calculation of depreciation under units of production method:
Total estimated productive life of the machine was 16,000 hours
Actual annual usage of machine hours is Year 1 - 5,500 hours , Year 2 - 3,800 hours , Year 3 - 3,200 hours and Year 4 - 3,500 hours
Depreciation = ( Depreciable value of the asset x Annual usage of hours ) / Total estimated machine hours
Year 1 = ($144,000 x 5,500 hours) / 16,000 hours = $49,500
Year 2 = ($144,000 x 3,800 hours) / 16,000 hours = $34,200
Year 3 = ($144,000 x 3,200 hours) / 16,000 hours = $28,800
Year 4 = ($144,000 x 3,500 hours) / 16,000 hours = $31,500
Year | Depreciation Expense | Accumulated Depreciation | Net Book Value |
At Acquisition | $152,000 | ||
1 | $49,500 | $49,500 | $102,500 ($152,000 - $49,500) |
2 | $34,200 | $99,000 | $68,300 ($152,000 - $99,000) |
3 | $28,800 | $148,500 | $39,500 ($152,000 - $148,500) |
4 | $31,500 | $198,000 | $8,000 ($152,000 - $198,000) |
c. Calculation of depreciation under double-declining balance method:
Cost of the asset = $152,000
Estimated residual value of the asset = $8,000
Estimated useful life of the asset = 4 years
Depreciation rate = 1/useful life * 100 = (1/4) * 100 = 25%
Double-declining balance formula = 2 x cost of the asset x Depreciation rate
Year 1 depreciation = 2 x $152,000 x 25% = $76,000
Year 2 depreciation = 2 x ($152,000 - $76,000) x 25% = $38,000
Year 3 depreciation = 2 x ($152,000 - $76,000 - $38,000) x 25% = $19,000
Year 4 depreciation = 2 x ($152,000 - $76,000 - $38,000 - $19,000) x 25% = $9,500
Year | Depreciation Expense | Accumulated Depreciation | Net Book Value |
At Acquisition | $152,000 | ||
1 | $76,000 | $76,000 | $76,000 |
2 | $38,000 | $152,000 | $38,000 |
3 | $19,000 | $228,000 | $19,000 |
4 | $9,500 | $304,000 | $9,500 |
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