Respuesta :
Answer:
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.