Question 5. (This question has three parts: I, II and III)

Part I.

It is now January. The current interest rate is 5% per annum annual compounding. The June future price for gold is $1846.30, while the December future rice is $1860.00. Find a strategy to explore the arbitrage opportunity.

Part II.

Suppose that the spot price of the euro is currently $1.5 USD. The one-year futures price is $1.55 USD. Is the interest rate higher in the United States or the euro zone? Justify your answer.

Part III.

OneAsx has just introduced a single-stock futures contract on Arandex stock, a company that currently pays no dividends. Each contract calls for delivery of 1,000 shares of stock in one year. The T-bill rate is 6% per year annually compounded and Arandex stock currently sells at $120 per share. If the Arandex price drops by 3%, what will be the change in the future price and the change in the investors margin account who has a long position in one contract?