Question

In: Finance

A small truck is purchased for $17,000. It is expected to be of use to the...

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.

Solutions

Expert Solution

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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