On 1/1/2011, ABC Company purchased a piece of equipment costing
$65,000. The equipment is expected to have a useful life equal to 5
years and a salvage value equal to $5,000.
Calculate the first two years’ depreciation
expense using the following methods respectively.
1) the straight-line method
2011:
2012:
2) the double-declining method and
2011:
2012:
3) the sum-of-years’-digits’ method.
2011:
2012:
Correct Answer:
Requirement 1:
Year |
Depreciation expense |
2011 |
$12,000.00 |
2012 |
$12,000.00 |
Working:
Straight Line Depreciation |
||
A |
Cost |
$ 65,000.00 |
B |
Residual Value |
$ 5,000.00 |
C=A - B |
Depreciable base |
$ 60,000.00 |
D |
Life [in years] |
5 |
E=C/D |
Annual SLM depreciation |
$ 12,000.00 |
Requirement 2:
Year |
Depreciation expense |
2011 |
$ 26,000.00 |
2012 |
$ 15,600.00 |
Working:
Double Declining Method |
||
A |
Cost |
$ 65,000.00 |
B |
Residual Value |
$ 5,000.00 |
C=A - B |
Depreciable base |
$ 60,000.00 |
D |
Life [in years] |
5 |
E=C/D |
Annual SLM depreciation |
$ 12,000.00 |
F=E/C |
SLM Rate |
20.00% |
G=F x 2 |
DDB Rate |
40.00% |
Year |
Beginning Book Value |
Depreciation rate |
Depreciation expense |
Ending Book Value |
1 |
$ 65,000.00 |
40.00% |
$ 26,000.00 |
$ 39,000.00 |
2 |
$ 39,000.00 |
40.00% |
$ 15,600.00 |
$ 23,400.00 |
Requirement 3:
Year Depreciation expense |
|
2011 |
$ 20,000 |
2012 |
$ 16,000 |
Working:
Sum of year's digit |
||
Cost |
$ 65,000.00 |
|
Residual Value |
$ 5,000.00 |
|
Depreciable base |
$ 86,520.00 |
|
sum of years (1+2+3+4+5) = 15 |
15 |
|
2011 |
$ 20,000 |
Depreciable base * ( 5/15) |
2,012 |
$16,000 |
Depreciable base * (4/15) |
End of answer.
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