In: Finance
There is a new road project which is expected to be finished in 4 years. This project has an initial cost of 1 million$. After the initial cost is paid, the road project is expected to provide 250,000$ in year 1, 300,000 in year 2, 320,000 in year 3 and 450,000 in year 4. It is known that the internal rate of return in this project 10.96%. What is the net present value?
NPV is the difference between cash outlows and discounted cash inflows. IRR is the discount rate where NPV is 0 or very close to 0.
Year | Cash flow | PV factor@ 10.96% | Discounted cash flow |
0 | (1,000,000) | 1 | (1,000,000) |
1 | 250,000 | 0.901225667 | 225,306 |
2 | 300,000 | 0.812207703 | 243,662 |
3 | 320,000 | 0.731982429 | 234,234 |
4 | 450,000 | 0.659681352 | 296,857 |
60 |
PV factor = 1/(1+r)^t