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Prime, Incorporated, purchases $100,000 in construction machinery on January 1, Year 1. The useful life is estimated to be 8 years, and the residual value is estimated to be $20,000. What will be the depreciation rate if the company uses the double-declining-balance method?Multiple Choice40%25%12.5%20%

Question

Prime, Incorporated, purchases 100,000inconstructionmachineryonJanuary1,Year1.Theusefullifeisestimatedtobe8years,andtheresidualvalueisestimatedtobe100,000 in construction machinery on January 1, Year 1. The useful life is estimated to be 8 years, and the residual value is estimated to be 20,000. What will be the depreciation rate if the company uses the double-declining-balance method?Multiple Choice40%25%12.5%20%

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Solution 1

The double-declining-balance method calculates depreciation at twice the straight-line rate. The straight-line rate is calculated by dividing 100% by the useful life of the asset.

Step 1: Calculate the straight-line rate 100% / 8 years = 12.5% per year

Step 2: Calculate the double-declining-balance rate 12.5% * 2 = 25% per year

So, the depreciation rate if the company uses the double-declining-balance method is 25%.

This problem has been solved

Solution 2

The double-declining-balance method calculates depreciation at twice the straight-line rate. The straight-line rate is calculated by dividing the difference between the cost of the asset and its residual value by the useful life of the asset.

In this case, the cost of the asset is 100,000andtheresidualvalueis100,000 and the residual value is 20,000. So, the depreciable amount is 100,000100,000 - 20,000 = $80,000.

The useful life of the asset is 8 years. So, the straight-line rate is 80,000/8=80,000 / 8 = 10,000 per year.

The double-declining-balance rate is twice the straight-line rate. So, the double-declining-balance rate is 10,0002=10,000 * 2 = 20,000 per year.

To express this as a percentage of the cost of the asset, we divide the double-declining-balance rate by the cost of the asset and multiply by 100. So, the depreciation rate is 20,000/20,000 / 100,000 * 100 = 20%.

So, the correct answer is 20%.

This problem has been solved

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