Question

Given the following cash flows for two mutually exclusive projects. Proj. 0 1 2 3 4 A -$100m 20m 30m 40m 90m B -$...

Given the following cash flows for two mutually exclusive projects.

Proj. 0 1 2 3 4
A -$100m 20m 30m 40m 90m
B -$100m 80m 40m 30m 10m

Which project will be accepted if the firm's cost of capital is 15%?

  • A.

    A

  • B.

    B

  • C.

    Neither

  • D.

    Both

0 0
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Answer #1

rate positively ..

Proj. 0 1 2 3 4 Total
i A ($100) 20 30 40 90
ii B ($100) 80 40 30 10
iii PVIF @ 15% 1 0.86957 0.75614 0.65752 0.57175
iv=i*iii Present value A (100.00)      17.39      22.68      26.30      51.46      17.83
v=ii*iii Present value B (100.00)      69.57      30.25      19.73        5.72      25.25
NPV A =      17.83 mil
NPV B =      25.25 mil
we can see that NPV of A and B both are positive and projects are mutually exclusive.
Therefore both project should be accepted.
correct answer is option : D) Both
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