In: Finance
Noe Drilling Inc. is considering Projects S and L, whose cash flows are shown below. These projects are mutually exclusive, equally risky, and not repeatable. The CEO believes the IRR is the best selection criterion, while the CFO advocates the MIRR. If the decision is made by choosing the project with the higher IRR rather than the one with the higher MIRR, how much, if any, value will be forgone. In other words, what's the NPV of the chosen project versus the maximum possible NPV? Note that (1) "true value" is measured by NPV, and (2) under some conditions the choice of IRR vs. MIRR will have no effect on the value lost.
WACC: 7.00%
CFs Y0 -1100 Y1: 550 Y2: 600 Y3:100 Y4:100
CFl Y0 -2750 Y1: 725 Y2: 725 Y3: 800 Y4: 1400
A. $185.90
B. $197.01
C. $208.11
D. $219.22
E. $230.32
Year | Project 1 | Project 2 | PVIF @ 7% | Present value project 1 | Present value project 2 | |
0 | -1100 | -2750 | 1 | (1,100.00) | (2,750.00) | |
1 | 550 | 725 | 0.934579 | 514.02 | 677.57 | |
2 | 600 | 725 | 0.873439 | 524.06 | 633.24 | |
3 | 100 | 800 | 0.816298 | 81.63 | 653.04 | |
4 | 100 | 1400 | 0.762895 | 76.29 | 1,068.05 | |
NPV | 96.00 | 281.90 | ||||
IRR = | 12.2% | 11.0% | Using excel formula | |||
MIRR = | 9.3% | 9.6% | Using excel formula | |||
Therefore vlaue lost using IRR = 281.90-96= | 185.90 | |||||
Answer = option A) | 185.90 | |||||