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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 400,000withasalvagevalueof400,000 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?

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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) * (400,000400,000 - 0) = $160,000

Solving for the useful life, we get:

useful life = 2 * (1/useful life) * 400,000/400,000 / 160,000

Solving this equation gives us a useful life of 5 years.

This problem has been solved

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