# FIN671: Financial Instruments and Derivatives

Assume a firm has a portfolio that contains stocks that track the market index. The firm now wants to change this portfolio to be 20% in commodities and only 80% in the market index. How would the firm use derivatives to implement this strategy? 2. Assume a firm has a portfolio that contains stocks that track the market index. The firm now wants to change this portfolio to be 20% in commodities and only 80% in the market index. How would the firm use derivatives to implement this strategy without using futures contracts? 3. A firm enters into a long position in 10 silver futures contracts at a futures price of \$4.52/oz., and closes out the position at a price of \$4.46/oz. If one silver futures contract is for 5,000 ounces, what are the investors gains or losses? 4. A firm enters into a short futures position in 10 contracts in gold at a futures price of \$276.50 per oz. The size of one futures contract is 100 oz. The initial margin per contract is \$1,500, and the maintenance margin is \$1,100. (a) What is the initial size of the margin account? (b) Suppose the futures settlement price on the first day is \$278.00 per oz. What is the new balance in the margin account? Does a margin call occur? If so, assume that the account is topped back to its original level. (c) The futures settlement price on the second day is \$281.00 per oz. What is the new balance in the margin account? Does a margin call occur? If so, assume that the account is topped back to its original level. (d) On the third day, the investor closes out the short position at a futures price of \$276.00. What is the final balance in his margin account? (e) Ignoring interest costs, what are his total gains or losses? 5. The 181-day interest rate in the US is 4.50% and that on euros is 5%, both quoted using the money-market convention. What is the 181-day forward price of the euro in terms of the spot exchange rate S? Assume a spot price of S euros per dollar.

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