Exam 23: Options, Caps, Floors, and Collars

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Buying a cap is similar to

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

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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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In April 2016,an FI bought a one-month sterling T-bill paying £100 million in May 2016.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 £. How many options should the FI purchase,and what will be the cost?

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The premium on a credit spread call option is the maximum potential loss to the buyer of the option when the credit spread increases.

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Unlike futures and forward contracts,the use of options by FIs has deceased in recent years.

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A naked option is an option written that has no identifiable underlying asset or liability position.

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

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The preferred method of FIs when hedging interest rates is an option on interest rate futures rather than using a pure bond option.

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The writer of a bond put option

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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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Futures options on bonds have interest rate futures contracts as the underlying asset.

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Rising interest rates will cause the market value of

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A bank with total assets of $271 million and equity of $31 million has a leverage adjusted duration gap of +0.21 years.Use the following quotation from the Wall Street Journal to construct an at-the-money futures option hedge of the bank's duration gap position.  TREASURY BULS (IMMM)-$1 \text { TREASURY BULS (IMMM)-\$1 }  million; 91-day ($25.28 ea.) \text { million; 91-day (\$25.28 ea.) } Strike Price Calls-Settle Putesettle 96.00 28 basis points 63 basis points 96.25 19 basis points 78 basis points 96.50 12 basis points 96 basis points If 91-day Treasury bill rates increase from 3.75 percent to 4.75 percent,what will be the profit/loss per contract on the bank's futures option hedge?

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

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Unlike futures contracts,options are traded electronically through an option dealer network known as the Options Clearing Corporation (OCC).

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Assume a binomial pricing model where there is an equal probability of interest rates increasing or decreasing 1 percent per year. What should be the net price of a $5,000,000 collar if the bank purchases a three-year 6 percent cap and sells a 5 percent floor,if the current (spot)rates are 6 percent?

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In April 2016,an FI bought a one-month sterling T-bill paying £100 million in May 2016.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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Giving the purchaser the right to sell the underlying security at a prespecified price is a

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