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A stock price is currently $45. Over each of the next two three-month periods it is expected to go up by 15% or down by

  1. A stock price is currently $45. Over each of the next two three-month periods it is expected to go up by 15% or down by 15%. The risk-free interest rate is 8% per annum with continuous compounding.

What is the value of a six-month European call option with a strike price of $42 today?

What is the value of a six-month American put option with a strike price of $42 today?

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