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Year 0 1 2 3 4 5 Cash flow for Alt. A($) -1K 200 200 200 200 700 Cash Flow for A

ID: 1091342 • Letter: Y

Question

Year

0

1

2

3

4

5

Cash flow for Alt. A($)

-1K

200

200

200

200

700

Cash Flow for Alt. B($)

-2K

500

500

500

500

600

Select the most appropriate answer from the choices below. No partial credit. Show all work, no credit if work not shown (not a guessing game).

A. 1,000 = 300(P/A, i, 5) +100(P/F, i, 5)

B. 1,000 = 300(P/A, i, 5) - 400(P/F, i, 5)

C. 1,000 = 300(P/A, i, 5) +200(P/F, i, 5)

D. 1,000 = 300(P/A, i, 5) - 100(P/F, i, 5)

Show your work please !!!!!!!!!!

Year

0

1

2

3

4

5

Cash flow for Alt. A($)

-1K

200

200

200

200

700

Cash Flow for Alt. B($)

-2K

500

500

500

500

600

Explanation / Answer

D. 1,000 = 300(P/A, i, 5) - 100(P/F, i, 5)

because

Alt B - ALt A

difference in intial investment = 2000-1000 = $1000

difference in annual cash flow = 500-200 = $300

difference in cash flow of year 5 = 600-700 = -$100

so,

i is calculated using increamental rate of return equation

(2000-1000) = (500-200)*(P/A, i, 5) +(600-700)*(P/F, i, 5)

1,000 = 300(P/A, i, 5)-100(P/F, i, 5)