QUESTION 1 [12 marks] Assume that the only cost (or opportunity cost) associated with gold is the interest on the money if you own gold. There are no storage costs and the convenience yield is zero. Suppose you can borrow or lend money at 10 percent per annum (continuous compounding) if you buy | sell gold. Today's price of gold is $1,320 per ounce, and there are also gold futures contracts available. The 6-month gold futures is trading at $1,370 and the 12-month gold futures is at $1,458.83 (rounded from $1,458.8256). These contracts mature in exactly 6 and 12 months respectively. One futures contract is on one ounce of gold. Note: You are able to buy gold or short sell gold if required. You can also long or short the gold futures contracts at the traded prices (Note: Ignore any margin requirements associated with these contracts). Required: Suggest TWO different strategies you might use to make an arbitrage profit. Also calculate the arbitrage profit with reference to one futures contract only at the expiration date of your arbitrage strategy (being either 6 or 12 months hence). Use continuously compounded (c.c.) interest rates in all your calculations. Assume that the 10 percent interest rate (c.c.) will not change after 6 months