A building was purchased for $66,500. The asset has an expected useful life of eight years and depreciation expense each year is $4,000 using the straight-line method. What is the residual value of the building?

$34,500

Explanation:

Depreciation is the systematic allocation of the cost of an asset to p/l based on its estimated useful life.

Assets are initially recorded at cost be carried subsequently at the net book value which is the cost less residual or salvage value then divided by the estimated useful life. Mathematically, using the straight line method,

Depreciation = (cost - residual value)/useful life

let the residual value ( which is the estimated value obtainable from the disposal of the asset at the end of its estimated useful life) be p

4000 = (66500 - p)/8

32000 = 66500 - p

p = 66500 - 32000

= $34,500

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