On January 1, 2019, Richard Corporation acquired machinery at a cost of $750,000. The corporation adopted the double-declining balance method of depreciation for this machinery and had been recording depreciation over an estimated useful life of ten years, with no residual value. At the beginning of 2022, a decision was made to change to the straight-line method of depreciation for the machinery. What will be the depreciation expense for 2022?

The depreciation for the year 4 is $54,857.

Explanation:

The double declining depreciation method would be used which is as under:

Double Declining depreciation = (Cost - Acc. Depreciation) * 2 / Useful life

Now by putting values, we have:

Y1 Depreciation = ($750,000 - 0) * 2 / 10 years = $150,000

Y2 Depreciation = ($750,000 - 150,000) * 2 / 10 years = $120,000

Y3 Depreciation = ($750000 - $150,000 - $120,000) * 2 / 10 years

= $96,000

Now from year 3 onward, the depreciation method was straight-line and which can be calculated as under:

Straight-line Depreciation = (Cost - Salvage value) / Useful Life

Here

Cost = $750000 - $150,000 - $120,000 - $96,000 = $384,000

Remainder life is 7 years

Now by putting values, we have:

Y4 Depreciation = ($384,000 - 0) / 7 years = $54,857