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1) Find the IRR of the difference between the base alternative and the second -c

ID: 1162451 • Letter: 1

Question

1) Find the IRR of the difference between the base alternative and the second-choice alternative.

2) Find the IRR of the difference between the base alternative and the THIRD-choice alternative.

A firm is considering three mutually exclusive alternatives as part of an upgrade to an existing transportation network. At EOY 10, alternative cost and net annual revenues. If MARR is 11% per year, which alternative (if any) should be chosen? Use the incremental IRR procedure / would be replaced with another alternative ? having the same installed $40,000 $25,000 $20,000 $6,500 $5,600 $5,250 Installed cost Net annual revenue Salvage value Useful life Calculated IRR 20 years 15.3% 20 years 22.0% 10 years 22.9% Which alternative would you choose as a base? Choose the correct answer below A. AlternativeI B. Altenative C. Alternative II Find the IRR of the difference between the base alternative and the second-choice alternative. IRR ? (Ill |-|/// |)-?%. (Round to one decimal place.)

Explanation / Answer

Arrange the options in the increasing order of investment and select alternative III as base

Find the difference between II and III cash flow, find IRR for the differenced series, which is -6.01 percent

Find the difference between II1and III cash flow, find IRR for the differenced series, which is -7.74 percent

Base alternative-Second Choice

Base alternative-Third Choice

EOY

III

II

I

II-III

I-III

0

-20000

-25000

-40000

-5000

-20000

1

5250

5600

6500

350

1250

2

5250

5600

6500

350

1250

3

5250

5600

6500

350

1250

4

5250

5600

6500

350

1250

5

5250

5600

6500

350

1250

6

5250

5600

6500

350

1250

7

5250

5600

6500

350

1250

8

5250

5600

6500

350

1250

9

5250

5600

6500

350

1250

10

5250

5600

6500

350

1250

11

5600

6500

5600

6500

12

5600

6500

5600

6500

13

5600

6500

5600

6500

14

5600

6500

5600

6500

15

5600

6500

5600

6500

16

5600

6500

5600

6500

17

5600

6500

5600

6500

18

5600

6500

5600

6500

19

5600

6500

5600

6500

20

5600

6500

5600

6500

IRR

22.92%

21.98%

15.31%

-6.01%

-7.74%

Base alternative-Second Choice

Base alternative-Third Choice

EOY

III

II

I

II-III

I-III

0

-20000

-25000

-40000

-5000

-20000

1

5250

5600

6500

350

1250

2

5250

5600

6500

350

1250

3

5250

5600

6500

350

1250

4

5250

5600

6500

350

1250

5

5250

5600

6500

350

1250

6

5250

5600

6500

350

1250

7

5250

5600

6500

350

1250

8

5250

5600

6500

350

1250

9

5250

5600

6500

350

1250

10

5250

5600

6500

350

1250

11

5600

6500

5600

6500

12

5600

6500

5600

6500

13

5600

6500

5600

6500

14

5600

6500

5600

6500

15

5600

6500

5600

6500

16

5600

6500

5600

6500

17

5600

6500

5600

6500

18

5600

6500

5600

6500

19

5600

6500

5600

6500

20

5600

6500

5600

6500

IRR

22.92%

21.98%

15.31%

-6.01%

-7.74%