Question: Consider an option on a commodity which has a positive net convenience yield. The commodity has a current price of So and the futures price

Consider an option on a commodity which has a
Consider an option on a commodity which has a positive net convenience yield. The commodity has a current price of So and the futures price for delivery at T is F0,T- Consider the call on the commodity expiring at time T with strike K=F0,T. Suppose that the risk-free rate is strictly greater than 0%. We want to gure out whether the risk-neutral probability the option ends up in-the-money is greater than, less than, or equal to 50%. Argument 1: Because we know the futures prices are a martingale under the risk-neutral measure, EQ[FT'T]=F0,T. By convergence of the spot and futures prices (FT,T=ST). this means the stock price will equal the strike on average so the risk-neutral probability will be 50%. Is this argument correct or incorrect? In one sentence, explain why it is correct or incorrect

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