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The current market value of the assets of Smethwell, Inc. is $56 million, with a standard deviation of 16 percent per year. The firm has zero-coupon bonds outstanding with a total face value of $40 million. These bonds mature in 2 years. The risk-free rate is 4.5 percent per year compounded continuously. What is the value of d1?


A) 1.67
B) 1.84
C) 1.93
D) 2.00
E) 2.06

F) A) and C)
G) None of the above

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A decrease in which of the following will increase the value of a put option on a stock? I. time to expiration II. stock price III. exercise price IV. risk-free rate


A) III only
B) II and IV only
C) I and III only
D) I, II, and III only
E) II, III, and IV only

F) A) and E)
G) A) and B)

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Put-call parity is defined as the relationship between which of the following variables? I. risk-free asset II. underlying stock price III. call option IV. put option


A) I and II only
B) II and III only
C) II, III, and IV only
D) I, II, and III only
E) I, II, III, and IV

F) D) and E)
G) None of the above

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What is the value of a 3-month call option with a strike price of $25 given the Black-Scholes option pricing model and the following information? What is the value of a 3-month call option with a strike price of $25 given the Black-Scholes option pricing model and the following information?   A) $3.38 B) $3.42 C) $3.68 D) $4.27 E) $4.53


A) $3.38
B) $3.42
C) $3.68
D) $4.27
E) $4.53

F) A) and B)
G) A) and C)

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Pure financial mergers:


A) are beneficial to stockholders.
B) are beneficial to both stockholders and bondholders.
C) are detrimental to stockholders.
D) add value to both the total assets and the total equity of a firm.
E) reduce both the total assets and the total equity of a firm.

F) None of the above
G) B) and D)

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Which of the following affect the value of a call option? I. strike price II. time to maturity III. standard deviation of the returns on a risk-free asset IV. risk-free rate


A) I and III only
B) II and IV only
C) I, II, and IV only
D) II, III, and IV only
E) I, II, III, and IV

F) A) and B)
G) B) and D)

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Which one of the five factors included in the Black-Scholes model cannot be directly observed?


A) risk-free rate
B) strike price
C) standard deviation
D) stock price
E) life of the option

F) A) and C)
G) A) and B)

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Explain how option pricing theory can be used to argue that acquisitive firms pursuing conglomerate mergers are not acting in the shareholders' best interest.

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Because equity can be viewed as a call o...

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Under European put-call parity, the present value of the strike price is equivalent to:


A) the current value of the stock minus the call premium.
B) the market value of the stock plus the put premium.
C) the present value of a government coupon bond with a face value equal to the strike price.
D) a U.S.Treasury bill with a face value equal to the strike price.
E) a risk-free security with a face value equal to the strike price and a coupon rate equal to the risk-free rate of return.

F) B) and E)
G) A) and E)

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You invest $4,000 today at 6.5 percent, compounded continuously. How much will this investment be worth 8 years from now?


A) $6,620
B) $6,728
C) $7,311
D) $7,422
E) $7,791

F) C) and D)
G) D) and E)

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Today, you are buying a one-year call on Piper Sons stock with a strike price of $27.50 per share and a one-year risk-free asset which pays 3.5 percent interest. The cost of the call is $1.40 per share and the amount invested in the risk-free asset is $26.57. How much total profit will you earn on these purchases if the stock has a market price of $29 one year from now?


A) $0.10
B) $0.85
C) $1.03
D) $1.11
E) $1.17

F) B) and D)
G) B) and E)

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The sensitivity of an option's value to a change in the risk-free rate is measured by which one of the following?


A) theta.
B) vega.
C) rho.
D) delta.
E) gamma.

F) A) and E)
G) C) and D)

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Today, you are buying a one-year call on one share of Webster United stock with a strike price of $40 per share and a one-year risk-free asset that pays 4 percent interest. The cost of the call is $1.85 per share and the amount invested in the risk-free asset is $38.46. What is the most you can lose on these purchases over the next year?


A) -$1.85
B) -$0.31
C) $0
D) $0.42
E) $1.54

F) C) and D)
G) A) and B)

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What is the value of a 6-month put with a strike price of $27.50 given the Black-Scholes option pricing model and the following information? What is the value of a 6-month put with a strike price of $27.50 given the Black-Scholes option pricing model and the following information?   A) $6.71 B) $6.88 C) $7.24 D) $7.38 E) $7.62


A) $6.71
B) $6.88
C) $7.24
D) $7.38
E) $7.62

F) A) and B)
G) D) and E)

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What is the value of d2 given the following information on a stock? What is the value of d<sub>2</sub> given the following information on a stock?   A) 0.0518 B) 0.0525 C) 0.0533 D) 0.0535 E) 0.0540


A) 0.0518
B) 0.0525
C) 0.0533
D) 0.0535
E) 0.0540

F) D) and E)
G) C) and D)

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A stock is currently selling for $55 a share. The risk-free rate is 4 percent and the standard deviation is 18 percent. What is the value of d1 of a 9-month call option with a strike price of $57.50?


A) -0.01506
B) -0.01477
C) -0.00574
D) 0.00042
E) 0.00181

F) B) and E)
G) A) and E)

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What is the delta of a put option given the following information? What is the delta of a put option given the following information?   A) -0.685 B) -0.315 C) 0.315 D) 0.525 E) 0.685


A) -0.685
B) -0.315
C) 0.315
D) 0.525
E) 0.685

F) None of the above
G) A) and D)

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Which of the following statements are correct? I. As the standard deviation of the returns on a stock increase, the value of a put option increases. II. The value of a call option decreases as the time to expiration increases. III. A decrease in the risk-free rate increases the value of a put option. IV. Increasing the strike price increases the value of a put option.


A) I and III only
B) II and IV only
C) I and II only
D) I, III, and IV only
E) I, II, and III only

F) A) and B)
G) A) and C)

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In the Black-Scholes model, the symbol " σ\sigma " is used to represent the standard deviation of the:


A) option premium on a call with a specified exercise price.
B) rate of return on the underlying asset.
C) volatility of the risk-free rate of return.
D) rate of return on a risk-free asset.
E) option premium on a put with a specified exercise price.

F) A) and C)
G) D) and E)

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The value of an option is equal to the:


A) intrinsic value minus the time premium.
B) time premium plus the intrinsic value.
C) implied standard deviation plus the intrinsic value.
D) summation of the intrinsic value, the time premium, and the implied standard deviation.
E) summation of delta, theta, vega, and rho.

F) D) and E)
G) A) and B)

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