Question

Compute the NPV statistic for Project Y if the appropriate cost of capital is 11 percent. (Ne minus sign. Do not round interm
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Answer #1

The Net Present Value (NPV) of the Project

Year

Annual cash flows ($)

Present Value Factor (PVF) at 11.00%

Present Value of annual cash flows ($)

[Annual cash flow x PVF]

1

3,710

0.900901

3,342.34

2

4,540

0.811622

3,684.77

3

1,880

0.731191

1,374.64

4

660

0.658731

434.76

TOTAL

8,836.51

Net Present Value (NPV) of the Project = Present Value of annual cash inflows – Initial Investment

= $8,836.51 - $8,400

= $436.51

“Hence, the Net Present Value (NPV) of the Project will be $436.51”

DECISION

“YES”. The Project should be accepted, since the Project has a Positive NPV of $436.51.

NOTE

The formula for calculating the Present Value Inflow Factor (PVIF) is [1 / (1 + r)n], where “r” is the Discount Rate/Cost of capital and “n” is the number of years.

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