In: Finance
The director of capital budgeting for Giant Inc. has identified two mutually exclusive projects, L and S, with the following expected net cash flows: Expected Net Cash Flows Year Project L Project S 0 ($100) ($100) 1 10 70 2 60 50 3 80 20 Both projects have a cost of capital of 12 percent. What is Project S's MIRR? What is Project L's MIRR?
| Computation of MIRR | ||||||||||
| Year | project L | project S | ||||||||
| 0 | -100 | -100 | ||||||||
| 1 | 10 | 70 | ||||||||
| 2 | 60 | 50 | ||||||||
| 3 | 80 | 20 | ||||||||
| we have to first compute the future value of the cash flow from year 1 to 3 for project L | ||||||||||
| Year | project L | Future value | ||||||||
| 1 | 10 | 12.544 | =10*(1+12%)^2 | |||||||
| 2 | 60 | 67.2 | =60*(1+12%)^1 | |||||||
| 3 | 80 | 80 | 80 | |||||||
| future value | 159.744 | |||||||||
| now we have to use financial calculator to compute the MIRR | ||||||||||
| Put in calcluator | ||||||||||
| PV | -100 | |||||||||
| PMT | 0 | |||||||||
| FV | 159.744 | |||||||||
| N | 3 | |||||||||
| Compute I | 16.90% | |||||||||
| therefore MIRR of L = | 16.90% | |||||||||
| we have to first compute the future value of the cash flow from year 1 to 3 for project S | ||||||||||
| Year | project S | Future value | ||||||||
| 1 | 70 | 87.808 | =70*(1+12%)^2 | |||||||
| 2 | 50 | 56 | =50*(1+12%)^1 | |||||||
| 3 | 20 | 20 | 20 | |||||||
| future value | 163.808 | |||||||||
| now we have to use financial calculator to compute the MIRR | ||||||||||
| Put in calcluator | ||||||||||
| PV | -100 | |||||||||
| PMT | 0 | |||||||||
| FV | 163.808 | |||||||||
| N | 3 | |||||||||
| Compute I | 17.88% | |||||||||
| therefore MIRR of S = | 17.88% | |||||||||