On the first day of its current fiscal year, Santiago Corporation purchased equipment costing $400,000 with a salvage value of $80,000. Depreciation expense for the year was $160,000. If Santiago uses the double-declining-balance method of depreciation, what is the estimated useful life of the asset?
Question
On the first day of its current fiscal year, Santiago Corporation purchased equipment costing 80,000. Depreciation expense for the year was $160,000. If Santiago uses the double-declining-balance method of depreciation, what is the estimated useful life of the asset?
Solution
The double-declining-balance method of depreciation is an accelerated depreciation method. This means it depreciates at a faster rate than the straight-line method. The formula for this method is:
(Double the Straight-line depreciation rate) * (Book value at the beginning of the year)
Given that the depreciation expense for the year is $160,000, we can set up the following equation:
2 * (1/useful life) * (0) = $160,000
Solving for the useful life, we get:
useful life = 2 * (1/useful life) * 160,000
Solving this equation gives us a useful life of 5 years.
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