In: Finance
PLEASE SHOW CALCULATOR INPUTS
A project has been assigned a discount rate of 12 percent. If the project starts immediately, it will have an initial cost of $480 and cash inflows of $350 a year for three years. If the start is delayed one year, the initial cost will rise to $520 and the cash flows will increase to $385 a year for three years. What is the value of the option to wait?
| Year | Cash flow | PVF@12% | Present value |
| 0 | $ -480 | 1.000 | $ (480.00) |
| 1 | $ 350 | 0.893 | $ 312.50 |
| 2 | $ 350 | 0.797 | $ 279.02 |
| 3 | $ 350 | 0.712 | $ 249.12 |
| Net present value | $360.64 | ||
| Year | Cash flow | PVF@12% | Present value |
| 0 | $ - | 1.000 | $ - |
| 1 | $ -520 | 0.893 | $ (464.29) |
| 2 | $ 385 | 0.797 | $ 306.92 |
| 3 | $ 385 | 0.712 | $ 274.04 |
| 4 | $ 385 | 0.636 | $ 244.67 |
| Net present value | $361.34 | ||
| Value of the option to wait = | $ 0.70 | ||
| ($361.34-$360.64) | |||