P9–9
a. Every depreciation method depreciates the same amount over the useful life of a fixed asset.
Depreciation methods only vary the timing of depreciation charges. Therefore, both the straight-
line method and the double-declining-balance method will give rise to the same total amount of
b Depreciation Depreciation Historical Accumulated Book
Date Factor Expense Cost Depreciation Value
1/1/14 $80,000 $ 0 $80,000
12/31/14 50% $40,000 80,000 40,000 40,000
12/31/15 50% 20,000 80,000 60,000 20,000
12/31/16 50% 0 80,000 60,000 20,000
12/31/17 50% 0 80,000 60,000 20,000
b. Since, as demonstrated in part (a), both depreciation methods give rise to the same total amount
of depreciation over the fixed asset’s life, the total amount of net income over the asset’s life must
Net income $ 16,250 $ 16,250 $ 16,250 $ 16,250 $ 65,000
Double-declining-balance:
Method Year 1 Year 2 Year 3 Year 4 Total
Revenues $ 100,000 $ 100,000 $ 100,000 $ 100,000 $ 400,000
Depreciation exp. 40,000 20,000 0 0 60,000
Other expenses 60,000 60,000 60,000 60,000 240,000
c. The double-declining–balance method is preferred for tax purposes because this method defers tax
payments. Under this depreciation method, more depreciation is taken in the early years of an