Question

2. You are considering an investment that requires you to lay out S14,800 and has the cash inflows shown below. Use a 3% interest rate to find the net present value and determine whether you should invest. Justify your answer. Yearl Cash flow 4.567 2 6,789 5,678 4 2,345 51,234
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Answer #1

Net Present Value (NPV)

Year

Annual Cash Inflow ($)

Present Value Factor at 3%

Present Value of Annual Cash Inflow ($)

1

4,567

0.97087

4,433.98

2

6,789

0.94260

6,399.28

3

5,678

0.91514

5,196.17

4

2,345

0.88849

2,083.50

5

1,234

0.86261

1,064.46

TOTAL

$19,177.40

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

= $19,177.40 - $14,800

= $4,377.40

DECISION

YES. The Investment Proposal should be accepted, since the Net Present Value (NPV) of the Project is Positive $4,377.40.

NOTE

The Formula for calculating the Present Value Factor is calculated is 1/(1 + r)n, Where “r” is the Discount/Interest Rate and “n” is the number of years.

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