Exam 21: Forward and Futures Contracts

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Some forward contracts, particularly in the foreign exchange market, are quite standard and liquid.

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A riskless stock index arbitrage profit is possible if the following condition holds:

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If you have entered into a currency futures hedge for the Japanese yen in connection with buying Japanese equipment, if the yen goes from 110 yen/$1 to 100 yen/$1, you will lose in the spot market but have an offsetting gain in the futures market.

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Exhibit 21.9 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) As a portfolio manager, you are responsible for a $150 million portfolio, 90 percent of which is invested in equities, with a portfolio beta of 1.25. You are utilizing the S&P 500 as your passive benchmark. Currently the S&P 500 is valued at 1202. The value of the S&P 500 futures contract is equal to $250 times the value of the index. The beta of the futures contract is 1.0. -Refer to Exhibit 21.9. If you anticipate a cash outflow of $5 million next week, how many futures contracts should you buy or sell in order to mitigate the effect of this outflow on the portfolio's performance (rounded to the nearest integer)?

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A backwardated futures market occurs when

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Exhibit 21.7 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Assume that you observe the following prices in the T-Bill and Eurodollar futures markets T-Bill Eurodollar September 95.24 94.6 -Refer to Exhibit 21.7. Assume that a month later the price of the September T-Bill future is 96.25 and the price of the Eurodollar future is 95.9. Calculate the profit on the Eurodollar futures position.

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The number of future contracts needed to hedge a unit of the spot assets is solely a function of the variance of the spot prices.

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The major difference between valuing futures versus forward contracts stems from the fact that future contracts are

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Exhibit 21.10 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) The S&P 500 stock index is at 1300. The annualized interest rate is 4.0% and the annualized dividend is 2%. You are currently considering purchasing a 2-month futures contract for your portfolio. -Refer to Exhibit 21.10. If the futures contract was currently available for 1280, indicate the appropriate strategy that would earn an arbitrage profit.

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Exhibit 21.3 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) As a relationship officer for a money-center commercial bank, one of your corporate accounts has just approached you about a one-year loan for $3,000,000. The customer would pay a quarterly interest expense based on the prevailing level of LIBOR at the beginning of each quarter. As is the bank's convention on all such loans, the amount of the interest payment would then be paid at the end of the quarterly cycle when the new rate for the next cycle is determined. You observe the following LIBOR yield curve in the cash market: 90 -day LIBOR 4.70\% 180 -day LIBOR 4.85\% 270 -day LIBOR 5.10\% 360 -day LIBOR 5.40\% -Refer to Exhibit 21.3. If 90-day LIBOR rises to the levels "predicted" by the implied forward rates, what will the dollar level of the bank's interest receipt be at the end of the second quarter?

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Exhibit 21.1 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) In late January 2004, The Union Cosmos Company is considering the sale of $100 million in 10-year debentures that will probably be rated AAA like the firm's other bond issues. The firm is anxious to proceed at today's rate of 10.5 percent. As treasurer, you know that it will take until sometime in April to get the issue registered and sold. Therefore, you suggest that the firm hedge the pending issue using Treasury bond futures contracts each representing $100,000. Case 1 Case 2 Current Value - January 2004 Bond Rate 10.5\% 10.5\% June 2004 Treasury B onds 78.875 78.875 Estimated Values - April 2004 Bond Rate 11.0\% 10.0\% June 2004 Treasury B onds 75.93 81.84 -Refer to Exhibit 21.1. Explain how you would go about hedging the bond issue?

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Assume that you manage an equity portfolio. The portfolio beta is 1.15. You anticipate a rise in equity values and wish to increase equity exposure on $500 million of the portfolio. Calculate the number of contracts you would need to hedge your position and indicate whether you would go short or long. Assume that the price of the S&P 500 futures contract is 1105 and the multiplier is 250.

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Exhibit 21.11 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Consider a portfolio manager with a $10,000,000 equity portfolio under management. The manager wishes to hedge against a decline in share values using stock index futures. Currently a stock index future is priced at 1350 and has a multiplier of 250. The portfolio beta is 1.50. -Refer to Exhibit 21.11. Assume that a month later the equity portfolio has a market value of $10,000,000 and the stock index future is priced at 1300 with a multiplier of 250. Calculate the profit (loss) on the stock index futures position.

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The basis (Bt,T) at time t between the spot price (St) and a futures contract expiring at time T (Ft,T) is

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Since futures contracts are "marked-to-market" daily, the gains and losses are settled daily.

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An investor in a hedge position is no longer exposed to the absolute price movement of the underlying asset, but the investor is still exposed to basis risk.

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The basis is the spot price minus the future price.

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Exhibit 21.10 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) The S&P 500 stock index is at 1300. The annualized interest rate is 4.0% and the annualized dividend is 2%. You are currently considering purchasing a 2-month futures contract for your portfolio. -Refer to Exhibit 21.10. If the futures contract was currently available for 1350, calculate the arbitrage profit.

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An investor who wants a long position in a ____ must first place the order with a broker, who then passes it on to the trading pit or electronic network. Details of the order are then passed on to the exchange clearinghouse.

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