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In: Economics

Some construction company has bought a product for $200,000 with a life of three years, and...

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 .


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