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QUESTION 7 Project Year 0 Year 1 Year 2 Year 3 Year 4 Year 5 Cash Flow Cash Flow

ID: 2762357 • Letter: Q

Question

QUESTION 7

Project

Year 0

Year 1

Year 2

Year 3

Year 4

Year 5

Cash Flow

Cash Flow

Cash Flow

Cash Flow

Cash Flow

Cash Flow

A

-14000

6000

6000

6000

6000

6000

B

-15000

7000

7000

7000

7000

7000

C

-18000

12000

2000

2000

2000

2000

The cash flows for three projects are shown above. The cost of capital is 9.5%. The net present value (NPV) of project A is ________.

Project

Year 0

Year 1

Year 2

Year 3

Year 4

Year 5

Cash Flow

Cash Flow

Cash Flow

Cash Flow

Cash Flow

Cash Flow

A

-14000

6000

6000

6000

6000

6000

B

-15000

7000

7000

7000

7000

7000

C

-18000

12000

2000

2000

2000

2000

Explanation / Answer

Project A:

Year

Cashflow

Pv Factor @ 9.5%

PV

0

          (14,000)

1.0000

                    (14,000)

1

               6,000

0.9132

                        5,479

2

               6,000

0.8340

                        5,004

3

               6,000

0.7617

                        4,570

4

               6,000

0.6956

                        4,173

5

               6,000

0.6352

                        3,811

NPV

                        9,038

Project B:

Year

Cashflow

Pv Factor @ 9.5%

PV

0

          (15,000)

1.0000

                    (15,000)

1

               7,000

0.9132

                        6,393

2

               7,000

0.8340

                        5,838

3

               7,000

0.7617

                        5,332

4

               7,000

0.6956

                        4,869

5

               7,000

0.6352

                        4,447

NPV

                      11,878

Project C:

Year

Cashflow

Pv Factor @ 9.5%

PV

0

          (18,000)

1.0000

                    (18,000)

1

             12,000

0.9132

                      10,959

2

               2,000

0.8340

                        1,668

3

               2,000

0.7617

                        1,523

4

               2,000

0.6956

                        1,391

5

               2,000

0.6352

                        1,270

NPV

                      (1,188)

Year

Cashflow

Pv Factor @ 9.5%

PV

0

          (14,000)

1.0000

                    (14,000)

1

               6,000

0.9132

                        5,479

2

               6,000

0.8340

                        5,004

3

               6,000

0.7617

                        4,570

4

               6,000

0.6956

                        4,173

5

               6,000

0.6352

                        3,811

NPV

                        9,038

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