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Suppose that the futures price of a commodity is 500 cents, the strike price of a futures option is 550 cents, the risk-free rate of

Suppose that the futures price of a commodity is 500 cents, the strike price of a futures option is 550 cents, the risk-free rate of interest is 3%, the volatility of the futures price is 20%, and the time to maturity of the option is 9 months

a. What is the price of the option if it is a European call?

b. What is the price of the option if it is a European put?

c. Verify that put-call parity holds

d. What is the futures price for a futures style option if it is a call?

e. What is the futures price for a futures style option if it is a put?

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