Exam 10: Futures Arbitrage Strategies

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How is the cost of a delivery option paid?

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If the stock index is at 148,the three-month futures price is 151,the dividend yield is 5 percent and the interest rate is 8 percent,determine the profit from an index arbitrage if the stock ends up at 144 at expiration.(Ignore transaction costs. )

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A cash-and-carry arbitrage is not risk free unless a repo is available with a maturity equal to the entire life of the transaction.

(True/False)
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Determine the annualized implied repo rate on a Treasury bond spread in which the March is bought at 98.7 and the June is sold at 99.5.The March CF is 1.225 and the June CF is 1.24.The accrued interest as of March 1 is 0.75 and the accrued interest as of June 1 is 1.22.

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Which of the following is a form of program trading?

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Determine the amount by which a stock index futures is mispriced if the stock index is at 200,the futures is at 202.5,the risk-free rate is 6.45 percent,the dividend yield is 2.75 percent,and the contract expires in three months.

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Selling an index futures and holding an undiversified portfolio would eliminate unsystematic risk.

(True/False)
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The settlement price,conversion factor and accrued interest are necessary to calculate the invoice price.

(True/False)
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Stock index arbitrage will earn,at no risk,the difference between the futures price and the theoretical futures price.

(True/False)
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What reason might be given for not wanting to hedge the future issuance of a liability if interest rates are unusually high?

(Multiple Choice)
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Find the annualized implied repo rate on a T-bond arbitrage if the spot price is 112.25,the accrued interest is 1.35,the futures price is 114.75,the CF is 1.0125,the accrued interest at delivery is 0.95,and the holding period is three months.

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Which one of the following options is not associated with the Treasury bond futures contract?

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The unusual volatility that sometimes occurs at stock index futures expirations is because of the greater uncertainty.

(True/False)
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Much of the volume of stock transactions in program trading occurs through the New York Stock Exchange's DOT system.

(True/False)
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The opportunity to lock in the invoice price and purchase the deliverable Treasury bond later is called

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The quality option is sometimes referred to as the switching option.

(True/False)
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Transaction costs in program trading are so small that they are not much of a factor.

(True/False)
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Use the following information to answer questions .On October 1,the one-month LIBOR rate is 4.50 percent and the two month LIBOR rate is 5.00 percent.The November Fed funds futures is quoted at 94.50.The contract size is $5,000,000. -Compute the dollar profit or loss from borrowing the present value of $5,000,000 at one month LIBOR and lending the same amount at two month LIBOR while simultaneously selling one November Fed funds futures contract.Assume that rates on November 1 were 7 percent,there is no basis risk,and the position is unwound on November 1.Select the closest answer.

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The conversion factor is the price of a bond with a face value of $1,coupon and maturity equal to that of the deliverable bond,and yield of 6 percent.

(True/False)
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A deliverable Treasury bond has accrued interest of 3.42 per $100,a coupon of 9.5 percent,a price of 135 and a conversion factor of 1.195.The futures price is 112.25.What is the invoice amount?

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