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The current futures price of a stock is $15 per share. One month later, when the futures option expires, the futures price could have risen

The current futures price of a stock is $15 per share. One month later, when the futures option expires, the futures price could have risen to $16.5 per share or declined to $14 per share. The strike price is $14.5. The risk-free rate is 6%.

What is the risk neutral probability for pricing the futures option in this case?

Please solve the futures call option premium based on the fact that at time zero, the cost of acquiring a portfolio is equal to the value of the portfolio.

What is the growth rate of futures prices in risk neutral world?

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