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Consider an asset that costs $595,000 and is depreciated straight-line to zero o

ID: 2775229 • Letter: C

Question

Consider an asset that costs $595,000 and is depreciated straight-line to zero over its seven-year tax life. The asset is to be used in a five-year project; at the end of the project, the asset can be sold for $180,000. If the relevant tax rate is 34 percent, what is the aftertax cash flow from the sale of this asset?

Consider an asset that costs $595,000 and is depreciated straight-line to zero over its seven-year tax life. The asset is to be used in a five-year project; at the end of the project, the asset can be sold for $180,000. If the relevant tax rate is 34 percent, what is the aftertax cash flow from the sale of this asset?

Explanation / Answer

Depreciation per year = 595,000 / 7

                                = 85,000

Depreciation for 5 year = 85000 * 5 = $ 425,000

Book value at the end of 5 year = 595,000 + 425,000 = $ 170,000

capital gain /(loss) = sale value - book value

                           = 180,000 - 170,000

                           = 10,000 gain

capital gain tax = 10,000 * .34 = $ 3400

After tax cash flow = sale value -capital gain tax

                            = 180,000 - 3400

                            = $ 176,600