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Calculate the value of a five-month European futures put option when the futures price is $29, the strike price is $30, the risk-free interest rate

  1. Calculate the value of a five-month European futures put option when the futures price is $29, the strike price is $30, the risk-free interest rate is 12% per annum, and the volatility of the futures price is 20% per annum. Show all work and briefly discuss.
  2. What is the value of a European call futures option where the futures price is 50, the strike price is 50, the risk-free rate is 5%, the volatility is 20% and the time to maturity is three months?

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