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3. Calculate the depreciation in year 5 for an investment of $10,000, with a salvare value of $2000 and a 10 year life under
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Answer #1

1)Straight Line method = [cost- salvage value ]/useful life

                   = [10000 - 2000]/10

                    = 8000/10

                    = $ 800 per year

Depreciation expense in year 5 : $ 800

2)

Double declining depreciation rate:

Depreciation rate = 2/ useful life

                 = 2/10

               = .20 or 20%

Year Depreciation expense Book value at end
1 10000*20%=2000 10000-2000=8000
2 8000*20%=1600 8000-1600= 6400
3 6400*20%= 1280 6400-1280= 5120
4 5120*20%= 1024 5120-1024= 4096
5 4096*20%= 819.20 4096-819.20 = 3276.80

Depreciation expense for year 5 = $ 819.2

3)Sum of years digit:

sum of digit :10+9+8+7+6+5+4+3+2+1 = 55

Sum of digit to be used in year 5 = 6                    [10 in year 1, 9 in year 2 ,8 in year 3 ,7 in year 4]

Depreciation expense for year 5 = [cost-salvage value ]*n/ sum of digit

                   = [10000- 2000] *6/55

                   = 8000*6/55

                    = 872.73

4)MACRS 7 year depreciation

Depreciation rate in year 5 = 8.93%      [can be find from MACRS table respectively]

Depreciation expense = 10000*8.93 %= 893

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