In: Finance
You are considering a project that has been assigned a discount rate of 12 percent. If you start the project today, you will incur an initial cost of $280 and will receive cash inflows of $350 a year for 3 years. If you wait 1 year to start the project, the initial cost will rise to $420 and the cash flows will increase to $385 a year for 3 years. What is the value of the option to wait?
O –$20.20
O –$110.01
O –$55.93
O $18.67
O $20.20
Without waiting
| rate | 12.0000% | |
| Cash flows | Year | Discounted CF= cash flows/(1+rate)^year | 
| (280.00) | 0 | (280.00) | 
| 350.00 | 1 | 312.50 | 
| 350.00 | 2 | 279.02 | 
| 350.00 | 3 | 249.12 | 
NPV = 560.64
after waiting for 1 year
| rate | 12.0000% | |
| Cash flows | Year | Discounted CF= cash flows/(1+rate)^year | 
| - | 0 | - | 
| (420.00) | 1 | (375.00) | 
| 385.00 | 2 | 306.92 | 
| 385.00 | 3 | 274.04 | 
| 385.00 | 4 | 244.67 | 
NPV = 450.63
value of option = 450.63 - 560.64 = -110.01