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A stock price is currently $30. Over each of the next two three-month periods it is expected to go up by 8% or down by

  1. A stock price is currently $30. Over each of the next two three-month periods it is expected to go up by 8% or down by 8%. The risk-free interest rate is 10% per annum with continuous compounding.
  1. What is the value of a six-month European put option with a strike price of $32?
  2. What is the value of a six-month American put option with a strike price of $32?

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