Sandblasting equipment acquired at a cost of $40,000 has an estimated residual value of $8,000 and an estimated useful life of eight years. it was placed into service on april 1 of the current fiscal year, which ends on december 31.

a. determine the depreciation for the current fiscal year and for the following fiscal year by the straight-line method.

depreciation
year 1 $
year 2 $
b. determine the depreciation for the current fiscal year and for the following fiscal year by the double-declining-balance method.

depreciation
year 1 $
year 2 $

a. $3,000 ; $4,000

b. $7,500 ; $8,125

Explanation:

The computation of the depreciation expense under each method is shown below:

a) Straight-line method:

= (Original cost - residual value) ÷ (useful life)

For year 1

= ($40,000 - $8,000) ÷ (8 years)

= ($32,000) ÷ (4 years)  

= $4,000

In the first year, the nine months depreciation would be charged

= $4,000 × 9 months ÷ 12 months

= $3,000

The 9 months is calculated from April 1 to December 31

In this method, the depreciation is same for all the remaining useful life

So, in year 2, the depreciation expense is $4,000

(b) Double-declining balance method:

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

= Percentage ÷ useful life

= 100 ÷ 8

= 12.5%

So, the rate would be double i.e 25%

In year 1, the original cost is $40,000, so the depreciation expense is

= $40,000 × 25% × 9 months ÷ 12 months

= $7,500

The 9 months is calculated from April 1 to December 31

And, in year 2, the depreciation expense would be

= ($40,000 - $7,500) × 25%

= $8,125

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