In: Economics
Some construction company has bought a product for $200,000 with a life of three years, and a salvage value of $10,000. Tabulate depreciation and book value using MACRS, Double Declining Balance and straight-line methods. Which method gives the company the largest depreciation after two years?
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Answer
Under MACS depreciation would be provided for 4 years
and the salvage value of the asset would be reduced to zero
.
Year | depreciation rate | Deprecation calculation | Book value at the end of the year |
1 | 33.33% | 66660 (33.33 % of 200000) | 133340 |
2 | 44.45% | 88900 (44.45 % of 200000) | 44440 |
3 | 14.81% | 29620 (14.81 % of 200000) | 14820 |
4 | 7.41% | 14820 (7.41 % of 200000) | 0 |
Straight line method
The amount of depreciation remains same for three years. The
depreciation amount is calculated as
=Original cost- Salvage value / life
= 200000-10000 /3
= 63333.3 $
Year | Depreciation | Book value at the end of the year |
1 | 63333.33 | 136666.7 |
2 | 63333.33 | 73333.34 |
3 | 63333.33 | 10000.01 |
Double declining balance method
Under this method the depreciation is charged at double the rate of
straight line method .
Depreciation rate under SLM = 100% / 3 = 33.33 %
DDB method rate = 2* 33.33% = 66.66%
Year | Book value at the beginning | Depreciation amount | Book value at the end |
1 | 200000 | 133320 (66.66% of 200000) | 66680 |
2 | 66680 | 44448.89 (66.66% of 66680) | 22231.11 |
3 | 22231.11 | 14819.26 (66.66% of 22231.11) | 7411.853 |
The largest depreciation is given by MACRS method after two years
which is 88900
.