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You purchase machinery for $33,000 that generates after-tax cash flows of $10,000 annually for the next 4 years. The cost of
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Answer #1

Answer:

Step 1: computation of present value of cash outflows

Present Value of cash outflows (cost of project) = $ 33,000

Step 2 : Computation of Present Value of cash inflows

Present Value of cash inflows = Annual cash inflows × Present Value Annuity Factor (PVAF)

Annual cash inflows = $ 10,000

PVAF = { 1 - ( 1 + r ) ^ -n } / r

r = Discount rate = WACC = 6.56% = 0.0656

n = Number of years = 4 years

PVAF at 6.56% for 4 years = { 1 - ( 1+ 0.0656) ^ -4 } / 0.0656

= 3.42113

Present Value of cash inflows for 4 years = $ 10,000 × 3.42113

= $ 34,211.3

Step 3: Computation of Net Present Value (NPV)

NPV = Present Value of cash inflows - Present Value of cash outflows

= $ 34,211.3 - $ 33,000

= $ 1,211.3

The NPV of the project is $ 1,211.3

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