Question 2 [5 marks) A farmer produces potatoes and he intends to harvest about 10,000 cartons' worth in the next six months. The total costs to the farmer per carton is $12. The farmer decides to hedge using European put options. There are two puts on potatoes with the exercise date in six months available: one with the Strike price of $13 per carton and another with the strike price of $15 per carton. The premiums of the options are $0.15 and $0.18, respectively. At harvest time, in six months, it turns out that the potato spot price is $14. Determine the farmer's profit if he had decided to hedge using the $13-strike put against the profit it he had decided to hedge using the $15-strike. Assume that the risk-free interest rate is 4% effective for the half-year period