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Ben Johnson, CFO of Alter Enterprises is analyzing a new project to sell solar powered batteries for cell phones. Ben has estimated the following probability

Ben Johnson, CFO of Alter Enterprises is analyzing a new project to sell solar powered batteries for cell phones. Ben has estimated the following probability distributions for the variables for the project.

Probability

10%

30%

40%

20%

Industry Demand

80,000,000

95,000,000

108,000,000

124,000,000

Probability

5%

20%

20%

25%

20%

10%

Ulrich Market Share

1%

2%

3%

4%

5%

6%

Probability

20%

70%

10%

Initial Cost

$60,000,000

$65,000,000

$72,000,000

Probability

20%

70%

10%

Variable Cost/Unit

$ 24.00

$ 26.00

$ 29.00

Probability

15%

25%

40%

20%

Fixed Cost

$ 20,000,000

$ 24,000,000

$ 27,000,000

$ 31,000,000

The unit price depends on the industry demand since greater demand will result in a higher price. Ben determines that the price per unit will be given by the equation:

Price = Industry demand/2,000,000 +/-$2

The random +/- 2 term represents an increase or decrease in price according the following distribution:

Probability

45%

55%

Price Randomness

-$2

$2

The length of the project, tax rate, and required return are as follows:

Projected length (years)

6

Tax rate

40%

Required rate of return

15%

  1. Create a Monte Carlo simulation for the project with 1,000 runs. Calculate the NPV for each run.
  2. Create bins and frequency distribution for these bins
  3. Create a cumulative probability graph using Excels histogram function.
  4. Repeat a, b and c for IRR calculations.
  5. In a brief statement discuss the risk involved with this project as you see fit with these 1,000 simulations.

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