Tom is planning to use a forward contract to purchase 100 ounces of gold in two months' time. The current spot price of gold is $1,970 per unit. Assume that Tom can borrow and lend at 2:4% p.a. compounded half yearly. a. [2 marks] Use the arbitrage-free pricing principle to calculate the fair forward price for gold per ounce. Round your result to two decimal places. b. [4 marks] Suppose that the forward price for purchase or sale of gold in two months' time is $1,900 per unit. List and explain all the steps that Tom needs to undertake in order to make an arbitrage pro t from a forward contract on 100 ounces of gold in two months' time. Make sure you outline all that needs to happen on all relevant dates, as well as today. c. [4 marks] Suppose that the forward price for purchase or sale of gold in two months' time is $2,030 per unit. List and explain all the steps that Bob needs to undertake in order to make an arbitrage pro t from a forward contract on 100 units of gold in three months' time. Make sure you outline all that needs to happen on all relevant dates, as well as today.