Exam 23: Options, Caps, Floors, and Collars

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What is the advantage of a futures hedge over an options hedge?

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A hedge with a futures contract reduces volatility in payoff gains on both the upside and downside of interest rate movements.

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True

When interest rates rise, writing a bond call option may cause profits to offset the loss on an FI's bonds.

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False

A hedge using a put option contract completely offsets gains but only but only partially offsets losses on an FIs balance sheet.

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Which of the following shows the change in the value of a put option for each $1 change in the underlying bond?

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An FI manager purchases a zero-coupon bond that has two years to maturity. The manager paid $826.45 per $1,000 for the bond. The current yield on a one-year bond of equal risk is 9 percent, and the one-year rate in one year is expected to be either 11.60 percent or 10.40 percent. Either rate is equally probable. What is the yield to maturity for the two-year bond if held to maturity?

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The buyer of a bond put option

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A hedge of interest rate risk with a put option completely offsets gains but only partly offsets losses.

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What is the advantage of an options hedge over a futures hedge?

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The buyer of a bond call option stands to make a positive payoff if changes in market interest rates cause the bond price to rise above the exercise price.

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An FI manager purchases a zero-coupon bond that has two years to maturity. The manager paid $76.95 per $100 for the bond. The current yield on a one-year bond of equal risk is 12 percent, and the one-year rate in one year is expected to be either 16.65 percent or 15.35 percent. Either rate is equally probable. Given the expected one-year rates in one year, what are the possible bond prices in one year?

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The losses on a purchased put option position when rates fall are limited to the option premium paid.

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An FI manager purchases a zero-coupon bond that has two years to maturity. The manager paid $76.95 per $100 for the bond. The current yield on a one-year bond of equal risk is 12 percent, and the one-year rate in one year is expected to be either 16.65 percent or 15.35 percent. Either rate is equally probable. If the manager buys a one-year option with an exercise price equal to the expected price of the bond in one year, what will be the exercise price of the option?

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Giving the purchaser the right to buy the underlying security at a prespecified price is a

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The payoff of a credit spread call option increases as the yield spread on a specified benchmark bond increases above some exercise spread.

(True/False)
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An FI manager purchases a zero-coupon bond that has two years to maturity. The manager paid $826.45 per $1,000 for the bond. The current yield on a one-year bond of equal risk is 9 percent, and the one-year rate in one year is expected to be either 11.60 percent or 10.40 percent. Either rate is equally probable. Given the exercise price of the option, what premium should be paid for this option?

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Allright Insurance has total assets of $140 million consisting of $50 million in 2-year, 6 percent Treasury notes and $90 million in 10-year, 7.2 percent fixed-rate Baa bonds. These assets are funded by $100 million 5-year, 5 percent fixed rate GICs and equity. On the advice of its chief financial officer, Allright wants to hedge the balance sheet with T-bond option contracts. The underlying bonds currently have a duration of 8.82 years and a market value of $97,000 per $100,000 face value. Further, the delta of the options is 0.5. What type of contract, and how many contracts should Allright use to hedge this balance sheet?

(Multiple Choice)
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Allright Insurance has total assets of $140 million consisting of $50 million in 2-year, 6 percent Treasury notes and $90 million in 10-year, 7.2 percent fixed-rate Baa bonds. These assets are funded by $100 million 5-year, 5 percent fixed rate GICs and equity. The duration of the T-notes, Baa bonds, and GICs is 1.93 years, 6.9 years, and 4.5 years respectively. What is the leverage-adjusted duration gap for Allright?

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The Black-Scholes model does not work well to value bond options because of violations of the underlying assumption of a constant variance of returns on the underlying asset.

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The trading process of options is the same as that of futures contracts.

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