Question

In: Finance

Suppose your firm is considering investing in a project with the cash flows shown below. The...

Suppose your firm is considering investing in a project with the cash flows shown below. The required rate of return is 8%. What is the Net Present Value (NPV) of the project? Should the project be accepted or rejected based on the NPV criteria? Choose 1,2,3, or 4

Year

0

1

2

3

4

5

  Cash Flow

$ -96,000

$ 24,800

$ 42,300

$ 31,500

$ 11,900

$33,700

1 - NPV = $19,916.62, accept the project since NPV > 0;

2 - NPV = $19,916.62, reject the project since NPV < initial cost of $96,000;

3 - NPV = $116,916.62, reject the project since NPV > initial cost of $96,000;

4 - NPV = $115,916.62, accept the project since NPV > 0.

Refering to the above question, what is the Internal Rate of Return (IRR)? Should the project be accepted or rejected based on the IRR criteria? Choose 1,2,3, or 4

1 - 15.82% , accept the project since IRR > the discount rate;

2 - 15.82%, reject the project since IRR > the discount rate;

3 - 7.91%, accept the project since IRR < the discount rate;

4 - 7.91%, reject the project since IRR < the discount rate.

Refering to the above question, assume the maximum allowable Discounted Payback (DPB) period is 4 years. What is the discount payback period? Should the project be accepted or rejected based on the DPB criteria? Choose 1,2,3, or 4

1 - 4.13 years, reject the project since DPB > 4 years

2 - 4.13 years, accept the project since DPB > 4 years

3 - 4.87 years, reject the project since DPB > 4 years

4 - 4.87 years, accept the project since DPB > 4 years

Solutions

Expert Solution

1-

Year

cash flow

present value of cash flow = cash flow/(1+r)^n r = 8%

0

-96000

-96000

1

24800

22962.96296

2

42300

36265.4321

3

31500

25005.71559

4

11900

8746.855248

5

33700

22935.65374

net present value

sum of present value of cash flow

19916.61964

Answer is

1

2-

Year

cash flow

0

-96000

1

24800

2

42300

3

31500

4

11900

5

33700

IRR =using irr function in MS excel =irr(-96000,24800,42300,31500,11900,33700)

15.82%

Answer is

1

3-

Year

cash flow

present value of cash flow = cash flow/(1+r)^n r = 8%

cumulative present value of cash flow

0

-96000

-96000

1

24800

22962.96296

22962.96

2

42300

36265.4321

59228.4

3

31500

25005.71559

84234.11

4

11900

8746.855248

92980.97

5

33700

22935.65374

3019.034

discounted payback period

year before the final recovery+(amount to be recovered/present value of cash flow of final recovery

4+(3019.034/22935.65)

4.13

answer is 1


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