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Molly is considering a project with cash inflows of $811, $924, $638, and $510 over the next four years, respectively. The relevant discount rate is 11.2 percent. What is the net present value of this project if it the start-up cost is $2,700?
a. -$425.91
b. -$131.83
c. -$383.01
d. $10.45
e. $229.50

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Answer:

A. -$425.91

Explanation:

Given that

Start up cost = 2700

Cash inflow 1 = 811

Cash inflow 2 = 924

Cash inflow 3 = 638

Cash inflow 4 = 510

Rate = 11.2% or 0.112

Recall that

NPV = E(CF/1 + i]^n) - initial investment or start up cost

Where

E = summation

CF = Cash flow

i = discount rate

n = years

Thus

NPV = -$2,700 + $811 / 1 + 0.112 + $924 / 1 + 0.112^2 + $638 / 1 + 0.112^3 + $510 / 1 + 0.112^4

NPV = -$425.91

Therefore, NPV = -$425.91

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