Assume the Black-Scholes framework. Consider a 95-strike 9-month European call option on an S&V 150 futures contract

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Assume the Black-Scholes framework.

Consider a 95-strike 9-month European call option on an S&V 150 futures contract which matures one year from now. You are given:

(i) The current price of the S&V 150 index is 100.

(ii) The volatility of the S&V 150 index price is 30%.

(iii) The volatility of the futures price is 30%.

(iv) S&V 150 pays dividends continuously at a rate proportional to its price. The dividend yield is 3%.

(v) The continuously compounded risk-free interest rate is 8%.

Calculate the price of the call option.

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