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% |