Williams Company purchased a machine costing $28,300 and is depreciating it over a 10-year estimated useful life with a residual value of $3,300. At the beginning of the eighth year, a major overhaul on it was completed at a cost of $8,300, and the total estimated useful life was changed to 12 years with the residual value unchanged. How much is the year 8 depreciation expense assuming use of the straight-line depreciation method?

$3,160

Explanation:

Depreciation is the systematic allocation of the cost of an asset to the income statement over the estimated useful life of that asset.

It is determined as the depreciable value of the asset over the estimated useful life of the asset where the depreciable value is the difference between the cost and salvage value of the asset .

Given that Williams Company purchased a machine costing $28,300 and is depreciating it over a 10-year estimated useful life with a residual value of $3,300,

Annual depreciation

= ($28,300 - $3,300)/10

= $2,500

At the beginning of the eighth year, a major overhaul on it was completed at a cost of $8,300,

Net book value at the beginning of the eighth year (before overhauling)

= $28,300 - 7($2,500)

= $10,800

Capitalizing the overhaul cost,

Net book value at the beginning of the eighth year (after overhauling)

= $10,800 + $8,300

= $19,100

Given that the total estimated useful life was changed to 12 years with the residual value unchanged,

Depreciation for the eighth year

= ($19,100 - $3,300)/5

= $15,800/5

= $3,160

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