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

  1. 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]

  1. You should take Project X.
  2. You should take Project Y.
  3. You can take both.
  4. None of above is correct.

  1. 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]

  1. 0.09
  2. 0.19
  3. 0.29
  4. 0.39

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