You believe that gold price will rise considerably one year later, and you want to benefit from this. You are offered two options. i) You buy the physical gold now for S, and sell it one year later for S1. Cost of storing physical gold is a and it can be paid at the end of the year. You get into a long forward contract on gold with a deal price of Fo (deal is fair to both sides) and at the same time buy a treasury zero-coupon bond that pays Fo one year later. Risk-free rate in the market is R per annum, annually compounded. Derive the condition that a rational investor would prefer option ii) over option i). Explain your reasoning