Respuesta :
The depreciation schedule for the following methods is shown below
Depreciation is a non-cash expense, which is the cost of the wear and tear of the company's fixed assets. The book value of a fixed asset reduces over time, and the reduction of value is recognized through depreciation expense.
Part a:
Calculate the annual depreciation expense using the following formula:
Annual depreciation=Initial cost−Salvage value/Useful life
=50,000−10,000/8
=40,000/8
=5,000
The annual depreciation of the machine under the straight-line method is $5,000
The table below shows the depreciation table of the machine under the straight-line method
Year Initial Cost Depreciation expense Accumulated depreciation Book value
1 50,000 5,000 5,000 45,000
2 50,000 5,000 10,000 40,000
3 50,000 5,000 15,000 35,000
4 50,000 5,000 20,000 30,000
5 50,000 5,000 25,000 25,000
6 50,000 5,000 30,000 20,000
7 50,000 5,000 35,000 15,000
8 50,000 5,000 40,000 10,000
Part b:
Calculate the annual depreciation rates under the double declining balance depreciation method.
Depreciation rates=1/Useful life×2
=1/8×2
=.25
The depreciation rate of the machine under the double declining balance depreciation method is 25%
The table below shows the depreciation schedule of the machine
Year Beginning book value Depreciation rates Depreciation expense Accumulated depreciation Ending book value
1 50,000 25% 12,500 12,500 37,500
2 37,500 25% 9,375 21,875 28,125
3 28,125 25% 7,031 28,906 21,094
4 21,094 25% 5,273 34,180 15,820
5 15,820 25% 3,955 38,135 11,865
6 11,865 25% 1,865 40,000 10,000
7 10,000 25% - 40,000 10,000
8 10,000 25% - 40,000 10,000
Part c:
Under the sum-of-years digit depreciation, the depreciation rate of the machine for each year is based on the fraction of its current period in descending order against the total sum of the useful life. The equation below calculates the total sum of years.
Sum of years=8+7+6+5+4+3+2+1=36
The table below shows the depreciation table of the machine under sum of years digits depreciation method
Year Net cost of Machine (Cost - Salvage value) Depreciation rates Depreciation expense Accumulated depreciation Book value
1 40,000 8/36 8,889 8,889 31,111
2 40,000 7/36 7,778 16,667 23,333
3 40,000 6/36 6,667 23,333 16,667
4 40,000 5/36 5,556 28,889 11,111
5 40,000 4/36 4,444 33,333 6,667
6 40,000 3/36 3,333 36,667 3,333
7 40,000 2/36 2,222 38,889 1,111
8 40,000 1/36 1,111 40,000 -
Part d:
In contrast to another type of depreciation method, MACRS depreciation has pre-defined depreciation rates sets by the IRS. The depreciation rates are posted in the depreciation rates column in the table below:
Year Initial Cost Depreciation rates (%) Depreciation expense Accumulated depreciation Book value
1 50,000 14.29% 7,145 7,145 42,855
2 50,000 24.49% 12,245 19,390 30,610
3 50,000 17.49% 8,745 28,135 21,865
4 50,000 12.49% 6,245 34,380 15,620
5 50,000 8.93% 4,465 38,845 11,155
6 50,000 8.92% 1,155 40,000 10,000
7 50,000 4.49% - 40,000 10,000
8 50,001 - - 40,000 10,001
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