Exam 14: Derivatives: Analysis and Valuation

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____ are debt instruments that have their principal or coupon payments tied to some other underlying variable.

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Exhibit 14-5 USE THE FOLLOWING INFORMATION FOR THE NEXT PROBLEM(S) Darden Industries has decided to borrow $25,000,000.00 for six months in two three-month issues. As the Treasurer, you are concerned that interest rates will rise over the next three months and the rate upon which the second payment will be based will be undesirable. (The amount of Darden's first payment will be known at origination.) To reduce the company's interest rate exposure, you decide to purchase a 3 ´ 6 FRA whereby you pay the dealer's quoted fixed rate of 4.5% in exchange for receiving 3-month LIBOR at the settlement date. In order to hedge her exposure, the dealer buys LIBOR from McIntire Industries at its bid rate of 4%. (Assume a notional principal of $25,000,000.00 and that there are 60 days between month 3 and month 6.) -Refer to Exhibit 14-5. Assuming that 3-month LIBOR is 5.00% on the rate determination day, and the contract specified settlement in advance, describe the transaction that occurs between the dealer and McIntire.

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Exhibit 14-6 USE THE FOLLOWING INFORMATION FOR THE NEXT PROBLEM(S) Chimichango Industries has decided to borrow $50,000,000.00 for six months in two three-month issues. As the Treasurer, you are concerned that interest rates will rise over the next three months and the rate upon which the second payment will be based will be undesirable. (The amount of Chimichango's first payment will be known at origination.) To reduce the company's interest rate exposure, you decide to purchase a 3 ´ 6 FRA whereby you pay the dealer's quoted fixed rate of 5.91% in exchange for receiving 3-month LIBOR at the settlement date. In order to hedge her exposure, the dealer buys LIBOR from Megabuks Industries at its bid rate of 5.85%. (Assume a notional principal of $50,000,000.00 and that there are 60 days between month 3 and month 6.) -Refer to Exhibit 14-6. How much compensation does the dealer receive for transaction costs, credit risk and other costs associated with matching the FRA's?

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In the Black-Scholes option pricing model, an increase in time to expiration (T) will cause

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Exhibit 14-3 USE THE FOLLOWING INFORMATION TO ANSWER THE NEXT QUESTION(S) The following information is provided in the context of a two period (two six month periods) binomial option pricing model. A stock currently trades at $60 per share, a call option on the stock has an exercise price of $65. The stock is equally likely to rise by 15% or fall by 15% during each six month period. The one-year risk free rate is 3%. -Refer to Exhibit 14-3. Calculate the price of the call option today (C₀).

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Exhibit 14-3 USE THE FOLLOWING INFORMATION TO ANSWER THE NEXT QUESTION(S) The following information is provided in the context of a two period (two six month periods) binomial option pricing model. A stock currently trades at $60 per share, a call option on the stock has an exercise price of $65. The stock is equally likely to rise by 15% or fall by 15% during each six month period. The one-year risk free rate is 3%. -Refer to Exhibit 14-3. Calculate the price of the call option after the stock price has already moved up in value once (Cd).

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Exhibit 14-8 USE THE FOLLOWING INFORMATION FOR THE NEXT PROBLEM(S) Exclusive Industries has debentures outstanding (par value $1,000.00) convertible into exclusive's common stock at $30. The coupon rate is 11% payable semiannually and they mature in 10 years. -Refer to Exhibit 14-8. Calculate the conversion value if the stock price is $24.00 par share.

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The calculation of a weighted average of the implied volatility estimates from options on the Standard & Poor's 500 index using a wide range of exercise prices is known as

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It is always theoretically possible to use options as a perfect hedge against fluctuations in value of the underlying asset.

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A ____ contract can be viewed as a prepackaged series of forward rate agreements to buy or sell LIBOR at the same fixed rate.

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Which of the following is not true about interest rate swaps?

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Exhibit 14-6 USE THE FOLLOWING INFORMATION FOR THE NEXT PROBLEM(S) Chimichango Industries has decided to borrow $50,000,000.00 for six months in two three-month issues. As the Treasurer, you are concerned that interest rates will rise over the next three months and the rate upon which the second payment will be based will be undesirable. (The amount of Chimichango's first payment will be known at origination.) To reduce the company's interest rate exposure, you decide to purchase a 3 ´ 6 FRA whereby you pay the dealer's quoted fixed rate of 5.91% in exchange for receiving 3-month LIBOR at the settlement date. In order to hedge her exposure, the dealer buys LIBOR from Megabuks Industries at its bid rate of 5.85%. (Assume a notional principal of $50,000,000.00 and that there are 60 days between month 3 and month 6.) -Refer to Exhibit 14-6. Assuming that 3-month LIBOR is 5.6% on the rate determination day, and the contract specified settlement in arrears at month 6, describe the transaction that occurs between the dealer and Chimichango.

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Exhibit 14-9 USE THE FOLLOWING INFORMATION FOR THE NEXT PROBLEM(S) BioTech Industries has debentures outstanding (par value $1,000) convertible into the company's common stock at $30. The coupon rate is 11% payable semiannually and they mature in 10 years. -Refer to Exhibit 14-9. At present, what would be the minimum value of the bond?

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An advantage of convertible bonds is

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Exhibit 14-3 USE THE FOLLOWING INFORMATION TO ANSWER THE NEXT QUESTION(S) The following information is provided in the context of a two period (two six month periods) binomial option pricing model. A stock currently trades at $60 per share, a call option on the stock has an exercise price of $65. The stock is equally likely to rise by 15% or fall by 15% during each six month period. The one-year risk free rate is 3%. -Refer to Exhibit 14-3. Calculate the possible prices of the stock at the end of one year.

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An investor considering investment in warrants as part of an overall program, should consider which of the following?

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The Chicago Board Options Exchange has the largest share of stock option trading.

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Forward rate agreements usually require substantial collateral.

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The investment value of a convertible bond is the price which it would be expected to sell as a straight debt instrument.

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The binomial model is a continuous method for valuing options.

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