Question

You got asked to analyze a 5 year project for your firm. The project produces an annual revenue of $28,500, but requires an annual labor and materials cost of $5,000. To initiate the project your firm must invest $20,000. The salvage value of the project is $5,000 and has a 5 year useful life.

Use straight line depreciation and a 40% income tax rate to compute the after tax cash flows and the IRR for the ATCF of this project.

Answer 1

15,300

72.70%

Step-by-step explanation:

After tax cash flow = (revenue - cost - depreciation) (1 - tax rate) + depreciation

Straight line depreciation expense = (Cost of asset - Salvage value) / useful life

($20,000 - $5,000) / 5 = $3,000

($28,500 - $5,000 - $3000) x (1 - 0.4) + $3000 = $15,300

Terminal year cash flow = after tax cash flow + salvage value

$15,300 + $5,000 = $20,300

Internal rate of return is the discount rate that equates the after-tax cash flows from an investment to the amount invested

IRR can be calculated with a financial calculator

Cash flow in year 0 = $20,000.

Cash flow in year 1 - 4= $15,300

Cash flow in year 5 = $20,300

IRR = 72.70%

To find the IRR using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. After inputting all the cash flows, press the IRR button and then press the compute button.