A Caterpillar tractor acquired on January 12 at a cost of $171,000 has an estimated useful life of 25 years. Assuming that it will have no residual value. a. Determine the depreciation for each of the first two years by the straight-line method. Round your answer to the nearest cent if rounding is required. Depreciation First year $ 6,840 Second year $ 6,840 b. Determine the depreciation for each of the first two years by the double-declining-balance method. Round your answer to the nearest cent if rounding is required.

Answer and Explanation:

a. The computation of depreciation for each of the first two years by the straight-line method is shown below:-

Depreciation

= (Assets cost - Salvage value) ÷ Useful life

= ($171,000 - 0) ÷ 25

= $6,840

For First year = $6,840

For Second year = $6,840

It would be the same for the remaining useful life

b. The computation of depreciation for each of the first two years by the double-declining-balance method is shown below:-

First we have to determine the depreciation rate which is shown below:

= One ÷ useful life

= 1 ÷ 25

= 4%

Now the rate is double So, 8%

In year 1, the original cost is $171,000, so the depreciation is $13,680 after applying the 8% depreciation rate

And, in year 2, the ($171,000 - $13,680) × 8% = $12,585.60

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