Exam 21: Forward and Futures Contracts

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

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If you were bearish on the near term outlook for the stock market but did not want to sell your portfolio,you could hedge against the decline by selling stock index futures.

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The main tradeoff between forward and future contracts is

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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 fourth quarter?

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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.Assuming the yields inferred from the Eurodollar futures contract prices for the next three settlement periods are equal to the implied forward rates,calculate in annual (360-day)percentage terms,the annuity that would leave the bank indifferent between making the floating-rate loan and hedging it in the futures market,and making a one-year fixed-rate loan.

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Which of the following statements is true?

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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 third quarter?

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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 $9,500,000 and the stock index future is priced at 1300 with a multiplier of 250.Calculate the profit on the equity position.

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The optimal hedge ratio is a function of all of the following except

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The inclusion of dividends in the cost of carry model will increase the futures price.

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When F₀,T > E(ST)it is known as

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According to the cost of carry model the futures price is the present value of the spot price discounted at the risk free rate.

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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. Casel Case2 Current Value - January 2004 Bond Rate 10.5\% 10.5\% June 2004 Treasury Bonds 78.875 78.875 Estimated Values - Apr 2004 Bond Rate 11.0\% 10.0\% June 2004 Trea5ury Bonds 75.93 81.84 -Refer to Exhibit 21.1.What is the dollar gain or loss assuming that future conditions described in Case 2 actually occur? (Ignore commissions and margin costs,and assume a naive hedge ratio.)

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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.What is the implied 90-day forward rate at the beginning of the third quarter?

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The goal of a hedge transaction is to increase expected returns of a fundamental holding.

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Exhibit 21.8 Use the Information Below for the Following Problem(S) Consider a portfolio manager with a $20,500,000 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 1250 and has a multiplier of 250. The portfolio beta is 1.25. -Refer to Exhibit 21.8.Calculate the overall profit.

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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.Calculate the overall profit.

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In the absence of arbitrage opportunities,the forward price should be equal to the spot price plus the cost of carry.

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Which of the following is not considered a "cost of carry"?

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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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