Exam 21: Forward and Futures Contracts

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The Eurodollar futures contract is a popular hedging vehicle because it is based on the three-month LIBOR.

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Exhibit 21.6 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 93.25 92.35 -Refer to Exhibit 21.6. If you expected the TED spread to widen over the next month then an appropriate strategy would be to

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Exhibit 21.2 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Assume you are the Treasurer for the Johnson Pharmaceutical Company and in late July 2004, the company is considering the sale of $500 million in 20-year debentures that will most likely be rated the same as the firm's other debt issues. The firm would like to proceed at the current rate of 8.5%, but you know that it will probably take until November to bring the issue to market. Therefore, you suggest that the firm hedge the pending issue using Treasury bond futures contracts which each represent $100,000. Case 1 Case 2 Current Value - July 2004 Bond Rate 8.5\% 8.5\% Dec. 2004 Treasury Bonds 87.75 87.75 Estimated Values - Nov. 2004 Bond Rate 9.5\% 7.5\% Dec. 2004 Treasury Bonds 85.60 91.65 -Refer to Exhibit 21.2. What is the dollar gain or loss assuming that future conditions described in Case 1 actually occur? (Ignore commissions and margin costs, and assume a naive hedge ratio.)

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

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

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Exhibit 21.12 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Suppose you are a loan officer for a commercial bank and one of your clients has just approached you about a one-year loan for $4,000,000. Interest on the new loan will be paid at the end of each quarter based on the prevailing level of LIBOR at the beginning of each quarter. The LIBOR yield curve in the cash market is as follows: 90 -day LIBOR 2.70\% 180 -day LIBOR 2.85\% 270 -day LIBOR 3.10\% 360 -day LIBOR 3.40\% -Refer to Exhibit 21.12. What will the dollar level of the bank's interest receipt be at the end of the first quarter?

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Exhibit 21.4 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) A 3-month T-bond futures contract (maturity 20 years, coupon 6%, face $100,000) currently trades at $98,781.25 (implied yield 6.11%). A 3-month T-note futures contract (maturity 10 years, coupon 6%, face $100,000) currently trades at $101,468.80 (implied yield 5.80%). Assume semiannual compounding. -Refer to Exhibit 21.4. If you expected the yield curve to flatten, the appropriate NOB futures spread strategy would be

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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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A riskless stock index arbitrage profit is possible if the following condition holds: F0,T = S0(1 + rf - d)T, where spot price now is S0, value now of a futures contract expiring at time T is (F0,T), rf is the risk free rate and d is the dividend.

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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 first quarter?

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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. If you expected the TED spread to narrow over the next month then an appropriate strategy would be to

(Multiple Choice)
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Exhibit 21.2 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Assume you are the Treasurer for the Johnson Pharmaceutical Company and in late July 2004, the company is considering the sale of $500 million in 20-year debentures that will most likely be rated the same as the firm's other debt issues. The firm would like to proceed at the current rate of 8.5%, but you know that it will probably take until November to bring the issue to market. Therefore, you suggest that the firm hedge the pending issue using Treasury bond futures contracts which each represent $100,000. Case 1 Case 2 Current Value - July 2004 Bond Rate 8.5\% 8.5\% Dec. 2004 Treasury Bonds 87.75 87.75 Estimated Values - Nov. 2004 Bond Rate 9.5\% 7.5\% Dec. 2004 Treasury Bonds 85.60 91.65 -Refer to Exhibit 21.2. 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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The pure expectations hypothesis suggests futures prices serve as unbiased forecasts of future spot prices.

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In the absence of arbitrage opportunities, the forward contract price should be equal to the current price plus

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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. Assume that a month later the equity portfolio has a market value of $20,000,000 and the stock index future is priced at 1150 with a multiplier of 250. Calculate the profit on the equity position.

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Interest rate parity is a key concept in managing risk in the commodities market.

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Exhibit 21.4 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) A 3-month T-bond futures contract (maturity 20 years, coupon 6%, face $100,000) currently trades at $98,781.25 (implied yield 6.11%). A 3-month T-note futures contract (maturity 10 years, coupon 6%, face $100,000) currently trades at $101,468.80 (implied yield 5.80%). Assume semiannual compounding. -Refer to Exhibit 21.4. If you expected the yield curve to steepen, the appropriate NOB futures spread strategy would be

(Multiple Choice)
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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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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 fourth quarter?

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Like hedging, arbitrage results in increased returns with a disproportional increase in risk.

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