Answer:
The method that gives the company the largest depreciation after two years is MACRS.
Step-by-step explanation:
According to given data 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 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 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