"A firm is trying to decide whether to keep an item of construction equipment for another year. The firm has been using double-declining-balance (DDB) for book purposes, and this is the 3rd year of ownership of the equipment, which cost $185,000 new. The useful life of the asset is 11 years and has a salvage value of $11,000. What is the book value of the equipment at the end of year 2?"
Cost of equipment = $185,000
Useful life = 11 years
Calculate depreciation in Year 1 -
Depreciation in Year 1 = Cost * (2/Useful life)
Depreciation in Year 1 = $185,000 * (2/11) = $185,000 * 0.1818 = $33,633
Calculate depreciation in Year 2 -
Depreciation in Year 2 = (Cost - depreciation in Year 1) * (2/Useful life)
Depreciation in Year 2 = ($185,000 - $33,633) * (2/11) = $151,367 * 0.1818 = $27,518.52
Calculate the book value in Year 2 -
Book Value = Cost - Depreciation in Year 1 - Depreciation in Year 2
Book Value = $185,000 - $33,633 - $27,518.52 = $123,848.48
The book value in Year 2 is $123,848.48
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