Exam 23: Options, Caps, Floors, and Collars

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A contract that pays the par value of a loan in the event of default is a

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C

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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B

In April 2012, an FI bought a one-month sterling T-bill paying £100 million in May 2012. The FI's liabilities are in dollars, and current exchange rate is $1.6401/£1. The bank can buy one-month options on sterling at an exercise price of $1.60/£1. Each contract has a size of £31,250, and the contracts currently have a premium of $0.014 per £. Alternatively, options on foreign currency futures contracts, which have a size of £62,500, are available for $0.0106 per £. -If the exchange rate in one month is $1.55/£1, what action should the FI take in regards to the hedge?

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B

An option that does NOT identifiably hedge an underlying asset is a

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A bond call option gives the holder the right to sell the underlying bond at a pre-specified exercise price.

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

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The payoff values on bond options are positively linked to the changes in interest rates.

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

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A bank purchases a 3-year, 6 percent $5 million cap (call options on interest rates), where payments are paid or received at the end of year 2 and 3 as shown below: End of Year: 0 1 2 3 Cash Flow at end of year: - - -Assume interest rates are 5 percent in year 2 and 7 percent in year 3. Which of the following is true?

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Buying a cap option agreement

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An investment company has purchased $100 million of 10 percent annual coupon, 6-year Eurobonds. The bonds have a duration of 4.79 years at the current market yields of 10 percent. The company wishes to hedge these bonds with Treasury-bond options that have a delta of 0.7. The duration of the underlying asset is 8.82, and the market value of the underlying asset is $98,000 per $100,000 face value. Finally, the volatility of the interest rates on the underlying bond of the options and the Eurobond is 0.84. -Using the above information and your answer to the previous question, will the investment company gain or lose on the option position if interest rates decrease 1 percent to 9 percent?

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As interest rates increase, the writer of a bond call option stands to make

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Which of the following observations is NOT true?

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An investment company has purchased $100 million of 10 percent annual coupon, 6-year Eurobonds. The bonds have a duration of 4.79 years at the current market yields of 10 percent. The company wishes to hedge these bonds with Treasury-bond options that have a delta of 0.7. The duration of the underlying asset is 8.82, and the market value of the underlying asset is $98,000 per $100,000 face value. Finally, the volatility of the interest rates on the underlying bond of the options and the Eurobond is 0.84. -Given this information, what type of T-bond option, and how many options should be purchased, to hedge this investment?

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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 expected one-year rates in one year, what are the possible bond prices in one year?

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FIs may increase fee income by serving as a counterparty for other entities wanting to hedge risk on their own balance sheet.

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

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An investment company has purchased $100 million of 10 percent annual coupon, 6-year Eurobonds. The bonds have a duration of 4.79 years at the current market yields of 10 percent. The company wishes to hedge these bonds with Treasury-bond options that have a delta of 0.7. The duration of the underlying asset is 8.82, and the market value of the underlying asset is $98,000 per $100,000 face value. Finally, the volatility of the interest rates on the underlying bond of the options and the Eurobond is 0.84. -What is the net gain or loss to the investment company resulting from the change in rates given that the hedge was placed?

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The gain to a buyer of bond call options is unlimited, even if interest rates decrease to zero.

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CBOT catastrophe call spread options have variable payoffs that are capped at a level of less than 100 percent of extreme losses.

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