please show work and formulas, thank you
XYZ Machining Inc. is considering the purchase of a new milling machine at a cost of $18,000. The machine is expected to have a service life of eight years and a salvage value of $2,500. Develop the complete depreciation schedule for the machine showing year-by-year depreciation charges and book values, using: (a) Straight line depreciation, (b) SOYD depreciation. (c) DDB depreciation, (d) MACRS depreciation.
Answer
Depreciable amount = Cost - salvage value = 18,000 - 2,500 = $ 15,500
Annual straight-line depreciation charge = Depreciable amount / Estimated useful life = 15,500 / 8 = $ 1,937.50
Present worth of the straight line depreciation charges = 1,937.50 x PVAi=10%,n=8 = 1,937.50 x 5.335 = $ 10,336.56
Sum of the digits depreciation method:
Sum of the digits = 8+7+6+5+4+3+2+1 = 36
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