Question

1.) Projects A and B both have 5 years of life. The initial investments and cash flows from these two projects are shown below.

Year 0 1 2 3 4 5
Project A -12,300 4,500 4,000 3,500 3,000 2,500
Project B -15,000 6,000 5,000 4,000 3,200 2,400

A.) Use Data Table tool to find the NPVs of both projects when the discount rate is 10%.

B.) Use Data Table tool to find the IRRs of both projects

C.) Plot the NPV profiles for both projects on the same graph.

D.) Use Goal Seek to find the crossover rate of these two projects. (Note that the solution of this part must include an image of the Goal Seek dialog showing all input values. The image can be shown in a non-Excel file.)

Please show all cells like the given picture (same format if possible). I need to know which cells to use and input. Please show the entire excel file. Draw Page Layout Formulas Data Review View Kutools TM Kutools Plus Help Tell me what you want to do Share AutoSum - Az Commen

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Answer #1
A B A - B
-12,300 -15,000 -2,700
4,500 6,000 1,500
4,000 5,000 1,000
3,500 4,000 500
3,000 3,200 200
2,500 2,400 -100
NPV $1,327.64 $1,267.89
IRR 14.61% 13.84% 8.53%

NPV can be calculated using the NPV function in excel. NPV = NPV(rate, CF1...CF5) + CF0

IRR can be calculated using the IRR function in excel. IRR = IRR(CF0...CF5)

Crossover rate is the rate at which NPV of both projects are equal, which is the IRR of the difference in the cash flows. Hence, the crossover rate is 8.53%

NPV Profile
Rate NPV (A) NPV(B)
0% $ 5,200.00 $   5,600.00
1% $ 4,735.30 $   5,083.09
2% $ 4,290.43 $   4,587.55
3% $ 3,864.29 $   4,112.21
4% $ 3,455.87 $   3,656.00
5% $ 3,064.19 $   3,217.89
6% $ 2,688.36 $   2,796.96
7% $ 2,327.56 $   2,392.29
8% $ 1,980.98 $   2,003.07
9% $ 1,647.91 $   1,628.52
10% $ 1,327.64 $   1,267.89
11% $ 1,019.53 $      920.51
12% $    722.98 $      585.72
13% $    437.42 $      262.91
14% $    162.30 -$       48.48
15% -$   102.87 -$     348.99
16% -$   358.58 -$     639.14
17% -$   605.27 -$     919.40
18% -$   843.36 -$ 1,190.22
19% -$1,073.24 -$ 1,452.04
20% -$1,295.31 -$ 1,705.25
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