Exam 23: Options, Caps, Floors, and Collars

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Simultaneously buying both a bond and a put option on the bond produces the same payoff as buying a call option on the bond.

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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 £. What is the foreign exchange risk that the FI is facing,and what type of currency option should be purchased to hedge this risk?

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An FI would normally purchase a cap if it was funding fixed-rate assets with variable-rate liabilities.

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Regulators tend to discourage,and even prohibit in some cases,FIs from writing options because the upside potential is unlimited and the downside losses are potentially limited.

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The buyer of a bond call option

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

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A digital default option expires unexercised in situations where the loan is paid in accordance with the loan agreement.

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Purchasing a succession of call options on interest rates is called a

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

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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 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. If rates increase 1 percent,what will be the change in value of the option position?

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Selling an interest rate call option may hedge an FI when rates rise and bond prices fall.

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

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The buyer of a bond put option

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The payoff values on bond options are directly related to the changes in interest rates.

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KKR issues a $10 million 18-month floating rate note priced at LIBOR plus 400 basis points.What is KKR's interest rate risk exposure and how can it be hedged?

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

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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 price of a three-year 6 percent cap if the current (spot)rates are also 6 percent? The face value is $5,000,000,and time periods are zero,one,and two.

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