In: Finance
What is the present value of the following planned cash flow for a 25 year power plant project? Assume that the annual cost of money is 4.2%. Draw the cash flow diagram and present your solution. Initial Investment (construction costs) - $60,000,000 Annual operating costs - $750,000 Annual maintenance costs - $95,000 Projected decommissioning expenses – $13,000,000 Projected income from scrap - $350,000
Cash flow Diagram
Initial Investment | $ 60,000,000 | |
Annual operating costs | $ 750,000 | |
Annual Maintanance costs | $ 95,000 | |
Total Annual costs | $ 845,000 | |
PV of these annual costs | $ 845,000 | * PVAF@ 4.2%,25 years |
= | $ 845,000 | *15.297011841419 |
= | $ 12,925,975 | |
Decommissioning expenses in 25th year | $ 13,000,000 | |
Projected income from scrap | $ 350,000 | |
Net expenses in year 25 | $ 12,650,000 | |
PV of these expenses | $ 12,650,000 | * PVF@ 4.2%,25 years |
$ 12,650,000 | *0.357525502660395 | |
$ 4,522,698 | ||
Present value of total cash flow | ||
Initial investment | $ 60,000,000 | |
Annual Cash outflow | $ 12,925,975 | |
Terminal cash outflow | $ 4,522,698 | |
Present value of total cash out flow | $ 77,448,673 |