Question

Blossom, Inc., is considering a five-year project with an initial investment of $20,000. What annual free...

Blossom, Inc., is considering a five-year project with an initial investment of $20,000.

What annual free cash flow (FCF) would be required for this project to have an NPV of $0 if the opportunity cost capital is 11 percent? (Round answer to 2 decimal places, e.g. 5,275.25.)

Annual free cash flow?
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Answer #1
To have NPV of 0, present value of cash inflows must be equal to initial investment.
So,
Annual free cash flows = Initial Investment/Present value of annuity of 1
= $       20,000 / 3.695897
= $   5,411.41
Working:
Present Value of annuity of 1 = (1-(1+i)^-n)/i Where,
= (1-(1+0.11)^-5)/0.11 i 11%
= 3.69589702 n 5
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