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Cash Flows (in thousands of USD) Year 0 1 2 3 4 5 6 7 Project 1 -100 10 20 0 0 1

ID: 2774231 • Letter: C

Question

Cash Flows (in thousands of USD)

Year

0

1

2

3

4

5

6

7

Project 1

-100

10

20

0

0

110

0

0

Project 2

-100

0

0

0

40

50

80

10

Project 3

-250

0

15

20

30

40

150

110

Project 4

-500

150

150

-100

50

100

150

200

Project 5

-400

100

100

-100

200

200

-80

130

In the above table, five projects were proposed from different departments of the firm trying to compete for the total $1,000,000 capital budget for next year. The CFO made it clear at the meeting that any project with zero or negative NPV should not be funded. Given it is a pharmaceutical firm, the CFO and the key managers are used to concepts of investing in the long-term projects and/or relatively risky projects, and/or projects with volatile cash flows over time. In addition, most of the members on the committee are cautiously optimistic about the future outlook of the economy. Around the time of the meetings, there were rumors that the Federal Reserve Bank is considering increasing the prime interest rates.

1) We notice that Project 1 will finish in 6 years while others end in 8 years. Is this going to affect your analysis? Under what assumption can we use the replacement chain or the EAA (Equivalent Annual Annuity) to compare projects with unequal lives?

Cash Flows (in thousands of USD)

Year

0

1

2

3

4

5

6

7

Project 1

-100

10

20

0

0

110

0

0

Project 2

-100

0

0

0

40

50

80

10

Project 3

-250

0

15

20

30

40

150

110

Project 4

-500

150

150

-100

50

100

150

200

Project 5

-400

100

100

-100

200

200

-80

130

Explanation / Answer

Yes this is going to affect the analysis because simply using NPV method doesnot give us the true picture of the profitability of the project. There might be cases where NPV of project 1 is lesser than that of other projects however project 1 could be more profitable if it is executed repeatedly or if the effective annual annuity is calculated.

Assumptions required:

1) Projects are mutually exclusive. Any project can be chosen at a time but not more than one.

2) Projects are expected to be replaced indefinitely as they wear out.

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