In: Finance
A small truck is purchased for $17,000. It is expected to be of
use to the company for 6 years, after which it will
be sold for $3,500. For each of the following cases, determine the
depreciation deduction and the resulting book
value during each year of the truck’s life:
a) Use straight-line depreciation.
b) Use declining balance depreciation with a rate of 125% of the
straight-line depreciation rate.
c) Use declining balance depreciation with a rate of 150% of the
straight-line depreciation rate.
d) Use double declining balance depreciation.
For declining balance and double declining balance, make sure that
computed book values intersect with the
estimated salvage value.
a) | STRAIGHT LINE METHOD: | ||||||||||
Annual Depreciation=(Cost of asset-Salvage Value)/Useful life in years | |||||||||||
Cost of asset | $17,000 | ||||||||||
Salvage Salvage Value | $3,500 | ||||||||||
Useful Life in years | 6 | ||||||||||
Annual Depreciation=(17000-3500)/6 | $2,250 | ||||||||||
Year | Beginning Book Value | Depreciation Amount | Ending Book Value | ||||||||
1 | $17,000 | $2,250 | $14,750 | ||||||||
2 | $14,750 | $2,250 | $12,500 | ||||||||
3 | $12,500 | $2,250 | $10,250 | ||||||||
4 | $10,250 | $2,250 | $8,000 | ||||||||
5 | $8,000 | $2,250 | $5,750 | ||||||||
6 | $5,750 | $2,250 | $3,500 | ||||||||
b) | 125% DECLINING BALANCE METHOD | ||||||||||
Depreciation Rate =125%*(1/Useful Life)=125%*(1/6) | 20.83% | ||||||||||
A | B | C=A*B | D=A-C | ||||||||
Year | Beginning Book Value | Depreciation Rate | Annual Depreciation | Ending Book Value | Straight Line Depreciation | ||||||
1 | $17,000 | 20.83% | $3,542 | $13,458 | $2,250 | ||||||
There should be Cross over to Straight Line in Year 3 | 2 | $13,458 | 20.83% | $2,804 | $10,655 | $2,250 | |||||
When, the Straight Line Depreciation is higher | 3 | $10,655 | 20.83% | $2,220 | $8,435 | $2,250 | |||||
Year | Beginning Book Value | Depreciation Rate | Annual Depreciation | Ending Book Value | |||||||
1 | $17,000 | 20.83% | $3,542 | $13,458 | |||||||
2 | $13,458 | 20.83% | $2,804 | $10,655 | |||||||
3 | $10,655 | $1,789 | $8,866 | (Depreciation=(10655-3500)/4 | |||||||
4 | $8,866 | $1,789 | $7,077 | ||||||||
5 | $7,077 | $1,789 | $5,289 | ||||||||
6 | $5,289 | $1,789 | $3,500 | ||||||||
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