Becker
Office Service purchased a new computer system in 2016 for $36,300. It
is expected to have a five-year useful life and a $2,500 salvage value.
The company expects to use the system more extensively in the early
years of its life.
a. |
Calculate the depreciation expense for each of the five years, assuming the use of straight-line depreciation.
|
Calculate the depreciation expense for each of the five years, assuming the use of double-declining- balance depreciation.
Explanation:
a.
(Cost – Salvage value) ÷ Useful life = Annual depreciation |
|
Year 1 | ($36,300 | − | 2,500) | ÷ | 5 | = | $ | 6,760 | per year |
2 | | | | | | | | 6,760 | |
3 | | | | | | | | 6,760 | |
4 | | | | | | | | 6,760 | |
5 | | | | | | | | 6,760 | |
|
b.
Accum. depreciation |
(Cost – at beginning of period) × (2 × SL rate) = Annual depreciation |
| | | |
Year 1 | ($ | 36,300 | − | $ | 0 | ) | × | (2 | × | 0.20 | ) | = | $ | 14,520 | |
2 | ($ | 36,300 | − | $ | 14,520 | ) | × | (2 | × | 0.20 | ) | = | | 8,712 | |
3 | ($ | 36,300 | − | $ | 23,232 | ) | × | (2 | × | 0.20 | ) | = | | 5,227 | |
4 | ($ | 36,300 | − | $ | 28,459 | ) | × | (2 | × | 0.20 | ) | = | | 3,136 | |
5 | ($ | 36,300 | − | $ | 31,595 | ) | × | (2 | × | 0.20 | ) | = | | 2,205 | * |
|
*The
total depreciable cost is $33,800 ($36,300 − $2,500). The depreciation
taken in Year 5 is limited to $2,205 [$33,800 – ($14,520 + $8,712 +
$5,227 + $ 3,136)]. |
d.
|
Book value | $ | 36,300 | | – | $ | 20,280 | * | = | $ | 16,020 | |
| | | | | | | | | | | |
Sales price | $ | 19,000 | | | | | | | | | |
Book value | | (16,020 | ) | | | | | | | | |
|
|
|
| | | | | | | | |
Gain | $ | 2,980 | | | | | | | | | |
|
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|
Double-declining-balance:
|
|
Book value | $ | 36,300 | | – | $ | 28,459 | * | = | $ | 7,841 | |
| | | | | | | | | | | |
Sales price | $ | 19,000 | | | | | | | | | |
Book value | | (7,841 | ) | | | | | | | | |
|
|
|
| | | | | | | | |
Gain | $ | 11,159 | | | | | | | | | |
|
|
|
| | | | | | | | |
|
*$14,520 + $8,712 + $5,227 = $28,459
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