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Compute the depreciation schedule using Sum-of-years'-digits method for a copy machine that costs $50,000 and has...

Compute the depreciation schedule using Sum-of-years'-digits method for a copy machine that costs $50,000 and has SV of zero at the end of a 10-year depreciable life.

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Expert Solution

Cost of the machine: $50000

Expected useful life of machine: 10 years

Salvage value: 0

Depreciation schedule can be prepared as below:

Year Depreciation base Remaining life of machine Depreciation fraction Depreciation expense Book Value
1                                                           50,000.00 10 10/55*              9,090.91                          40,909.09
2                                                           50,000.00 9 9/55              8,181.82                          32,727.27
3                                                           50,000.00 8 8/55              7,272.73                          25,454.55
4                                                           50,000.00 7 7/55              6,363.64                          19,090.91
5                                                           50,000.00 6 6/55              5,454.55                          13,636.36
6                                                           50,000.00 5 1/11              4,545.45                             9,090.91
7                                                           50,000.00 4 4/55              3,636.36                             5,454.55
8                                                           50,000.00 3 3/55              2,727.27                             2,727.27
9                                                           50,000.00 2 2/55              1,818.18                                909.09
10                                                           50,000.00 1 1/55                  909.09                                     0.00
           50,000.00
*1+2+3+4+5+6+7+8+9+10 = 55
  • Depreciable cost (depreciable base): $50000 - 0 = $50000
  • Depreciation expense at the end of the first year: $50000 × (10/55) = $9090.91
  • Book value at the end of the first year: $50000 – $9090.91 = $40909.09

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