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Question 3: Sum-of-digit method The sum of years' digits method is a form of accelerated depreciation...

Question 3: Sum-of-digit method

The sum of years' digits method is a form of accelerated depreciation that is based on the assumption that the productivity of the asset decreases with the passage of time. Under this method, a fraction is computed by dividing the remaining useful life of the asset on a particular date by the sum of the year's digits.

Problem

Snitcher Corp. purchases a property for $100,000. It has an estimated salvage value of $10,000, and a useful life of five years.

Task: prepare the Amortization table under the SYD

Solutions

Expert Solution

Year Cost of the assets Salvage value Depreciable value sum of the year Depreciation Accumulated depreciation Book value of asset
Year 1 $                 100,000 $           10,000 90000 1+2+3+4+5 = 15 $90,000/15*5 = $30,000 $                                      30,000 $                       70,000
Year 2 $                 100,000 $           10,000 $                     90,000 1+2+3+4+5 = 15 $90,000/15*4 = $24,000 $                                      54,000 $                       46,000
Year 3 $                 100,000 $           10,000 $                     90,000 1+2+3+4+5 = 15 $90,000/15*3 = $18,000 $                                      72,000 $                       28,000
Year 4 $                 100,000 $           10,000 $                     90,000 1+2+3+4+5 = 15 $90,000/15*2 = $12,000 $                                      84,000 $                       16,000
Year 5 $                 100,000 $           10,000 $                     90,000 1+2+3+4+5 = 15 $90,000/15*1 = $6,000 $                                      90,000 $                       10,000

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