In: Accounting
University Car Wash built a deluxe car wash across the street
from campus. The new machines cost $234,000 including installation.
The company estimates that the equipment will have a residual value
of $27,000. University Car Wash also estimates it will use the
machine for six years or about 12,000 total hours. Actual use per
year was as follows:
Year | Hours Used |
1 | 2,800 |
2 | 1,900 |
3 | 2,000 |
4 | 2,000 |
5 | 1,800 |
6 | 1,500 |
1. Prepare a depreciation schedule for six years using the straight-line method. (Do not round your intermediate calculations.)
2. Prepare a depreciation schedule for six years using the double-declining-balance method. (Do not round your intermediate calculations.)
3. Prepare a depreciation schedule for six years using the activity-based method. (Round your "Depreciation Rate" to 2 decimal places and use this amount in all subsequent calculations.)
Ans. 1 | Straight line depreciation = (Cost of asset - Residual value) / Useful life in years | ||||
($234,000 - $27,000) / 6 | |||||
$207,000 / 6 | |||||
$34,500 | |||||
Year | Depreciation | ||||
1 | $34,500 | ||||
2 | $34,500 | ||||
3 | $34,500 | ||||
4 | $34,500 | ||||
5 | $34,500 | ||||
6 | $34,500 | ||||
Accumulated depreciation | $207,000 | ||||
*In Straight line method the depreciation is equal in each year. | |||||
Ans. 2 | Double declining balance method: | ||||
Double declining balance depreciation rate = 2 * 1 / life of assets | |||||
2 * 1 / 6 | |||||
2/6 | |||||
*Depreciation = Remaining value at the beginning of the year * Double declining balance depreciation rate | |||||
Year | Value at the beginning (a) | Depreciation (b = a*0.33) | Net book value (a - b) | ||
1 | $234,000 | $78,000 | $156,000 | ||
2 | $156,000 | $52,000 | $104,000 | ||
3 | $104,000 | $34,667 | $69,333 | ||
4 | $69,333 | $23,111 | $46,222 | ||
5 | $46,222 | $15,407 | $30,815 | ||
6 | $30,815 | $3,815 | $27,000 | ||
Accumulated depreciation | $207,000 | ||||
*In double declining balance method the book value at the end of year is the residual value of the assets, so the depreciation | |||||
would be calculated by the following way: | |||||
Depreciation for Year 6 = Value at the beginning - Residual value | |||||
$30,815 - $27,000 | |||||
$3,815 | |||||
Ans. 3 | Activity based depreciation method: | ||||
Depreciation per unit = (Cost of asset - Residual value) / Expected activity | |||||
($234,000 - $27,000) / 12,000 | |||||
$207,000 / 12,000 | |||||
$17.25 | per unit | ||||
Year | Depreciation per unit (a) | Actual activity (b) | Depreciation (a*b) | ||
1 | $17.25 | 2800 | $48,300 | ||
2 | $17.25 | 1900 | $32,775 | ||
3 | $17.25 | 2000 | $34,500 | ||
4 | $17.25 | 2000 | $34,500 | ||
5 | $17.25 | 1800 | $31,050 | ||
6 | $17.25 | 1500 | $25,875 | ||
Accumulated depreciation | $207,000 | ||||