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After graduating UK with a major in finance, you have developed a brilliant new widget. You sell your widgets for $6. You need to buy

  1. After graduating UK with a major in finance, you have developed a brilliant new widget. You sell your widgets for $6. You need to buy a machine to produce your widgets. You are considering two machines: [25 points]

Machine A:

  • Cost $2,000,000
  • Annual fixed cost per machine: $250,000; Variable cost per unit $1.40
  • Annual production capacity: 300,00 widgets (i.e., you cannot produce more than 300,000 widgets)
  • Market life = 5 years; terminal (market) value =0

Machine B:

  • Cost $6,000,000
  • Annual fixed cost per machine: $25,000; Variable cost per unit $0.40
  • Annual production capacity: 600,00 widgets (i.e., you cannot produce more than 600,000 widgets)
  • Market life = 5 years; terminal (market) value = $200,000

Additional Details:

  • You have already had an inspector evaluate Machine A for $2,000 and Machine B for $6,000.
  • Both machines can be depreciated using straight-line depreciation over a 5-year period. Book value should =0 at the end of 5 years.
  • The tax rate is 30%
    • If Net Income is negative, assume a tax of 0 (i.e. the government will not pay you if you lose money, and there are no tax-loss carry forwards)
  • The discount rate is 6%
  • You expect to be able to sell up to 400,000 widgets
    • Assume you can only buy one machine

  1. Compute the NPV and IRR of both projects. [12 points]
    1. Which project should you take according to the NPV rule?
    2. Which project should you take according to the IRR rule?

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