Question: Your company has two projects to consider: a 3-year project X and a 4-year project Y. Cash flows of X and Y are illustrated in
- Your company has two projects to consider: a 3-year project X and a 4-year project Y. Cash flows of X and Y are illustrated in the following table, where the unit is million and the negative cash flows in Year 0 show the upfront investments.
| Year | 0 | 1 | 2 | 3 | 4 |
| X | -95 | 45 | 58 | 62 |
|
| Y | -80 | 38 | 35 | 35 | 30 |
Your company only has 100 million for the new investment and the cost of capital is 12%. According to the rule of Profitability Index, which of the following statements is TRUE?
[5 marks]
- You should take Project X.
- You should take Project Y.
- You can take both.
- None of above is correct.
- There are two potential projects, P and Q, with different life horizons. Specifically, P will last for 5 years and Q will last for 7 years. Their cash flows are illustrated in the following table.
| Year | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| P | -73 | 30 | 30 | 30 | 30 | 30 |
|
|
| Q | -71 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
The cost of capital is 15%. The difference in their equivalent annual benefits (P minus Q) is closest to:
[5 marks]
- 0.09
- 0.19
- 0.29
- 0.39
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