Exact Photo Service purchased a new color printer at the beginning of Year 1 for $38,000. The printer is expected to have a four-year useful life and a $3,500 salvage value. The expected print production is estimated at 1,500,000 pages. Actual print production for the four years was as follows: Year 1 390,000 Year 2 410,000 Year 3 420,000 Year 4 300,000 Total 1,520,000 The printer was sold at the end of Year 4 for $1,650. Required a. Compute the depreciation expense for each of the four years, using double-declining-balance depreciation.

1st year depreciation = $19,000; 2nd year depreciation = $9,500; 3rd year depreciation = $4,750; and final year = $1,250

Explanation:

We know,

Depreciation expense rate under double-declining method = (100% ÷ Useful life) × 2

So, Depreciation expense rate = (100% ÷ 4) × 2 = 50%

According to double-declining method, the depreciation expenses is decreasing over the time. Moreover, depreciation expense is calculated with the help of book value of an asset. After the useful life the book value has to be either "0" if there is no salvage value or equals to "Salvage value" if that is given. The following chart shows the depreciation expenses of four years under double-declining method:

 A         B          C = (Book value*B)                 D                      E = (Note)

Year   Rate    Depreciation Expense     Accum. Depre.       Book Value

0                                                                                                  $38,000

1          50%     $38,000*50% = 19,000         $19,000               $19,000

2         50%     $19,000*50% = 9,500           $28,500               $9,500

3         50%     $9,500*50% = 4,750             $33,250               $4,750

4         50%     1,250          (3)                         $34,500               $3,500

Note: Accum. Depre. = Accumulated depreciation = Depreciation expense current year + previous year

Book value = Cost price - Accumulated depreciation

(3) Although $4,750*50% = $2,375, we cannot take that expense as depreciation because it would be more than the salvage value. Therefore, it is impossible to charge more than residual value. Therefore, $(4,750 - 3,500) = $1,250 will be considered as depreciation expense for the last year.

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