In: Finance
If we are given the following investment opportunities, which is preferred at a MARR of 10%? Be sure to use both IRR and incremental analysis.
| Alternative | 
 Investment A  | 
Investment B | Investment C | Investment D | 
| 
 Initial Investment  | 
 $4,000  | 
 $15,000  | 
 $5,000  | 
 $19,000  | 
| 
 Year 1 cash flow  | 
0 | 
 0  | 
 0  | 
 0  | 
| 
 Year 2 cash flow  | 
 $9,500  | 
 $22,100  | 
 $4,100  | 
 $25,700  | 
We use the excel function IRR to compute IRR
IRR = IRR(All cash-flows)

| Year | Investment A | Investment B | Investment C | Investment D | 
| 0 | -4000 | -15000 | -5000 | -19000 | 
| 1 | 0 | 0 | 0 | 0 | 
| 2 | 9500 | 22100 | 4100 | 25700 | 
| IRR | 54.11% | 21.38% | -9.45% | 16.30% | 
MRR is 10%. Hence, baring Investment C, all the other investments have an IRR greater than MARR and can be considered as a good investment opportunity.
Hence, we do not consider Investment C as an opportunity.
We conduct the incremental analysis between Investment B and Investment A

| Year | Investment A | Investment B | Incremental cash-flows (B-A) | 
| 0 | -4000 | -15000 | -11000 | 
| 1 | 0 | 0 | 0 | 
| 2 | 9500 | 22100 | 12600 | 
| IRR | 7.03% | 
Since, the IRR< MARR, we do not consider Investment B as a better investment opportunity than Investment A
We conduct the incremental analysis between Investment D and Investment A

| Year | Investment A | Investment D | Incremental cash-flows (D-A) | 
| 0 | -4000 | -19000 | -15000 | 
| 1 | 0 | 0 | 0 | 
| 2 | 9500 | 25700 | 16200 | 
| IRR | 3.92% | 
Since, the IRR< MARR, we do not consider Investment D as a better investment opportunity than Investment A
Hecen, we prefer Investment A over other Investments.