Sunday, February 20, 2011

After-tax cash flow for a replacement project

A project would replace a portion of a company's equipment with new machinery expected to last three years.

Current machinery
item$ amount
Book value120,000
Market value195,000

New machinery
item$ amount
Cost332,000
ΔCurrent assets190,000
ΔCurrent liabilities80,000
Δ means the change in the dollar amount.

Tax rate = 40%
Time horizon of the project = 3 years

New machinery
Existing EquipmentThe projectIncrement
Annual sales523,000708,000708,000-523,000 = 185,000
Cash operating expenses352,000440,000440,000-352,000 = 88,000
Annual depreciation40,000110,667110,667-40,000 = 70,667
Accounting salvage value000
Expected salvage value90,000113,000113,000-90,000 = 23,000

(Question)
Assuming that working capital will be recaptured at the end of the project, what is the final period after-tax cash flow for the project?

Recaptured working capital at the end of the project = ΔCurrent assets - ΔCurrent liabilities
= 190,000 - 80,000 = 110,000

Because the project is a replacement project, the incremental cash flows must be calculated.

Total cash flow in the final period
= Project cash flows + Return of net working capital + After-tax sale of fixed capital used in the project
= (185,000-88,000-70,667)*(1-40%) + 70,667
+ 110,000
+ (23,000 - 0)*(1-40%)
= 210,266.8

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