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