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Question 1 (6pts). For the cash flows shown below, answer the following questions. (Assume MARR = 12%) (1) (2pts) Provide the
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Answer #1

MARR = 12%

Net annual revenue = 300000 - 100000 = 200000

1. Let ROR be I%, then

- 1200000 + 200000 * (P/A, I%,10) + 400000 * (P/F, I%,10) = 0

dividing by 200000

- 6 + (P/A, I%,10) + 2 * (P/F, I%,10) = 0

(P/A, I%,10) + 2 * (P/F, I%,10) = 6

After this we need to use trail and error method and interpolation to find ROR

2 & 3. Using RATE & IRR function in Excel

Year Investment Revenue Cost Salvage value Net Cash Flow
0 -1200000 -1200000
1 300000 -100000 200000
2 300000 -100000 200000
3 300000 -100000 200000
4 300000 -100000 200000
5 300000 -100000 200000
6 300000 -100000 200000
7 300000 -100000 200000
8 300000 -100000 200000
9 300000 -100000 200000
10 300000 -100000 400000 600000
ROR Using RATE Function 13.06%
ROR Using IRR Function 13.06%

As ROR using RATE and IRR function is greater than MARR (12%), therefore project is acceptable

Showing formula in Excel

Year Investment Revenue Cost Salvage value Net Cash Flow
0 -1200000 =I12+J12+K12+L12
1 300000 -100000 =I13+J13+K13+L13
2 300000 -100000 =I14+J14+K14+L14
3 300000 -100000 =I15+J15+K15+L15
4 300000 -100000 =I16+J16+K16+L16
5 300000 -100000 =I17+J17+K17+L17
6 300000 -100000 =I18+J18+K18+L18
7 300000 -100000 =I19+J19+K19+L19
8 300000 -100000 =I20+J20+K20+L20
9 300000 -100000 =I21+J21+K21+L21
10 300000 -100000 400000 =I22+J22+K22+L22
ROR Using RATE Function =RATE(10,200000,-1200000,400000)
ROR Using IRR Function =IRR(M12:M22)
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