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Q3. Mobile company hired a consultant to propose a way to increase company revenues. The consultant has evaluated two mutuall

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Answer #1

a.

solution: NPV of the project = present value of cash inflows - present value of cash outflows where, present value of cash ou

Project Y- present value of cash outflows = $625000 present value of cash inflows = cash flows * present value annuity factor

b.

Project Y- present value of cash outflows = $625000 present value of cash inflows = cash flows * present value annuity factor

c.

It is beneficial to select Project X.

This is because, the project X has more NPV compared to project Y. In case of mutually exclusive projects, project giving more NPV is selected. This decision is based on the object of wealth maximisation of the investors. More NPV helps to maximize wealth, so project X is selected.

Note: calculations of present value annuity factor

Present value annuity factor = [1 - (1+r)-n ]/r.

Where,

r = rate of interest = 0.09 and n = number of years = 10

Therefore,

Present value annuity factor at 9% for 10 years =

= [1 - (1+0.09)-10 ]/0.09

= [1 - (1.09)-10 ]/0.09

= [1 - 1/(1.09)10 ]/0.09

= [1 - 1/2.3674]/0.09

= [1 - 0.4224]/0.09

= 0.5776/0.09

= 6.4177

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