Question
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% |
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Industry Demand | 80,000,000 | 95,000,000 | 108,000,000 | 124,000,000 |
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Probability | 5% | 20% | 20% | 25% | 20% | 10% |
Ulrich Market Share | 1% | 2% | 3% | 4% | 5% | 6% |
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Probability | 20% | 70% | 10% |
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Initial Cost | $60,000,000 | $65,000,000 | $72,000,000 |
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Probability | 20% | 70% | 10% |
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Variable Cost/Unit | $ 24.00 | $ 26.00 | $ 29.00 |
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Probability | 15% | 25% | 40% | 20% |
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Fixed Cost | $ 20,000,000 | $ 24,000,000 | $ 27,000,000 | $ 31,000,000 |
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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% |
- Create a Monte Carlo simulation for the project with 1,000 runs. Calculate the NPV for each run.
- Create bins and frequency distribution for these bins
- Create a cumulative probability graph using Excels histogram function.
- Repeat a, b and c for IRR calculations.
- In a brief statement discuss the risk involved with this project as you see fit with these 1,000 simulations.
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