a) Today you have purchased one tonne of commodity A for price S. You are concerned that the price per tonne of commodity A is going to fall over the next few months and wish to protect against this eventuality. You decide to use a put option written on commodity A, with strike price S and 3 months to maturity, to deliver this protection. Show, analytically and graphically, how the put option, when held in conjunction with the position in the underlying commodity, helps you achieve your goal. Be clear about how the option premium, p, affects your profits. [Note: when computing the profits from your combination of the option and the underlying, there is no need to account for the time value of money] [6 marks]