At the beginning of 2016, Copland Drugstore purchased a new computer system for $52,000. It is expected to have a five-year life and a $7,000 salvage value. 2.a. Compute the depreciation for each of the five years, assuming that the company uses (1) Straight-line depreciation. (2) Double-declining-balance depreciation.
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Sure, here's the computation for depreciation using straight-line and double-declining-balance methods:
1.Straight-Line Depreciation:
Straight-line depreciation distributes the cost of the asset evenly over its useful life.
The formula for straight-line depreciation is:
Annual Depreciation = Cost of Asset − Salvage Value / Useful life
Given:
Cost of asset = $52,000
Salvage value = $7,000
Useful life = 5 years
Annual Depreciation = 52,000 - 7,000 / 5
Annual Depreciation = 45,000/ 5
Annual Depreciation= 9,000
Therefore, the annual depreciation using straight-line method is $9,000 for each of the five years.
2.Double-Declining-Balance Depreciation:
Double-declining-balance depreciation method accelerates the depreciation expense. It calculates depreciation by applying a fixed rate (twice the straight-line rate) to the book value of the asset.
The formula for double-declining-balance depreciation is:
Depreciation Expense = Book Value at Beginning of Year × Double Declining Rate
The double declining rate is 2 / Useful Life
For each year:
Calculate the double declining rate: 2 / 5 = 0.4
Calculate depreciation expense using the formula
Year 1:
Depreciation Expense = 52,000 × 0.4 = 20,800
Year 2:
Depreciation Expense = (Book Value at Beginning of Year 1− Depreciation Expense Year 1)×0.4
Depreciation Expense = (52,000−20,800)×0.4 = 18,528
Year 3:
Depreciation Expense = (Book Value at Beginning of Year 2 − Depreciation Expense Year 2) × 0.4
Depreciation Expense = (52,000 − 20,800 − 18,528) ×0.4 = 11,117
Year 4:
Depreciation Expense = (Book Value at Beginning of Year 3 − Depreciation Expense Year 3) × 0.4
Depreciation Expense = (52,000 − 20,800 − 18,528 − 11,117) × 0.4 = 6,670
Year 5:
Depreciation Expense = (Book Value at Beginning of Year 4 − Depreciation Expense Year 4) × 0.4
Depreciation Expense = ( 52,000 − 20,800 − 18,528 − 11,117 − 6,670) × 0.4 = 3,258
These amounts represent the depreciation expense for each respective year using the double-declining-balance method.