An investment project has the following cash flows: Initial investment of $1,000,000 and cash flows starting in the first year through year 4 of $300,000 each. If the required rate of return is 12% What is the present value for each cash flow? What is the NPV and what decision should be made using the NPV?
Answer : Calculation of Present Value of Cash Flows and NPV
NPV = Present Value of Cash Inflow - Present Value of Cash Outflow
Present Value of Cash Inflows
Year | Cash Flows | PVF @12% | Discounted Cash Flows |
1 | 300,000 | 0.89285714285 | 267,857.142855 |
2 | 300,000 | 0.79719387754 | 239,158.163262 |
3 | 300,000 | 0.7117802478 | 213,534.07434 |
4 | 300,000 | 0.63551807839 | 190,655.423517 |
Total | 911,204.803974 |
Present Value of Cash Outflow = $1,000,000
Calculation of NPV
NPV = 911,204.803974 - 1,000,000
= (- 88795.19603) or (-88795.20)
As the project has negative NPV therefore the project should not be accepted.
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