Description | Date Purchased | Cost | Salvage Value | Life in years | Depreciation Method | Accumulated depreciation to 12/31/18 | Depreciation for 2019 |
Machine A | 2/12/17 | $142,500 | $16,000 | 10 | | $33,350 | (b) $19,550 |
Machine B | 8/15/16 | (c) | 21,000 | 5 | SL | 29,000 | (d) 11,600 |
Machine C | 7/21/15 | 75,400 | 23,500 | 8 | DDB | (e) 47,567 | (f)4,333 |
Machine D | 10/12/17(g) | 219,000 | 69,000 | 5 | SYD | 70,000 | (h) 35,000 |
Working notes:
Machine A—Testing the methods | |
Straight-Line Method for 2017 | $ 6,325 |
Straight-Line Method for 2018 | $12,650 |
Total Straight Line | $18,975 |
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Machine A—Testing the methods | |
Double-Declining Balance for 2017 | $14,250 |
Double-Declining Balance for 2018 | $25,650 |
Total Double Declining Balance | $39,900 |
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Computing depreciation for 2017
Calculating depreciation for 2018
Machine A—Testing the methods | |
Sum-of-the-years-digits for 2017 | $11,500 |
Sum-of-the-years-digits for 2018 | $21,850 |
Total Sum-of-the-years-digits | $33,350 |
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Calculating depreciation for 2017
Calculating depreciation for 2018 for life in 10 year
Calculating depreciation for 2018 for life in 9 year
So total depreciation for 2018 is $21,850 ($14,833+$21,191)
Machine A—Testing the methods | |
The method used must be SYD Using SYD, 2019 Depreciation is | $19,550 |
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Calculation of depreciation for life in 9 year
Calculation of depreciation for life in 8 year
So total depreciation is $19,500 ($10,350+$9,200)
Machine B-Computation of the cost
The asset has been depreciated for 21/2years using the straight-line method.
Annual depreciation is then equal to $29,000 divided by 2.5 or $11,600. 11,600 times 5 plus the salvage value is equal to the cost. Cost is $79,000
Using SL, 2017 Depreciation is $11,600
Machine C—using the double-declining balance method of depreciation
Year | Depreciation expense | Calculation |
2015’s depreciation is | $ 9,425 | ($75400 x .25 x 5) |
2016’s depreciation is | $16,494 | ($75400 - $9,425) x .25 |
2017’s depreciation is | $12,370 | ($75400 - $25,919) x .25 |
2018’s depreciation is | $ 9,278 | ($75400 - $38,289) x .25 |
| $47,567 |
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So,Using DDB, 2019 Depreciation is $4,333 ($75,400 – $47,567 – $23,500)
Machine D—Computation of Year Purchased
First Half Year using SYD | $25,000 |
Second Year using SYD | $45,000 |
| $70,000 |
Calculating depreciation for the first half-year using SYD
Calculating depreciation for Second Year using SYD for 5 years in life
Calculating depreciation for Second Year using SYD for 4 years in life
So, the total depreciation expense is $70,000
Thus the asset must have been purchased on October 12, 2017
Using SYD, 2019 Depreciation is $35,000
Calculating depreciation for 4 years in the life
Calculating depreciation for 3 years in the life