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Frostbite Thermal Wear has a zero coupon bond issue outstanding with a face value of $20,000 that matures in one year. The current market value of the firm's assets is $23,000. The standard deviation of the return on the firm's assets is 52 percent per year, and the annual risk-free rate is 6 percent per year, compounded continuously. What is the market value of the firm's equity based on the Black-Scholes model? (Round your answer to the nearest $100.)


A) $6,400
B) $6,700
C) $6,900
D) $7,000
E) $7,200

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

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Which one of the following defines the relationship between the value of an option and the option's time to expiration?


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

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

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A stock is currently selling for $36 a share. The risk-free rate is 3.8 percent and the standard deviation is 27 percent. What is the value of d1 of a 9-month call option with a strike price of $40?


A) -0.21872
B) -0.21179
C) -0.21047
D) -0.20950
E) -0.20356

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

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Grocery Express stock is selling for $22 a share. A 3-month, $20 call on this stock is priced at $2.65. Risk-free assets are currently returning 0.2 percent per month. What is the price of a 3-month put on Grocery Express stock with a strike price of $20?


A) $0.37
B) $0.53
C) $0.67
D) $1.10
E) $1.18

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

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Which one of the following is the correct formula for approximating the change in an option's value given a small change in the value of the underlying stock?


A) Change in option value \approx Change in stock value/Delta
B) Change in option value \approx Change in stock value/(1 - Delta)
C) Change in option value \approx Change in stock value/(1 + Delta)
D) Change in option value \approx Change in stock value * (1 - Delta)
E) Change in option value \approx Change in stock value * Delta

F) All of the above
G) A) and B)

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What is the value of a 3-month put with a strike price of $45 given the Black-Scholes option pricing model and the following information? What is the value of a 3-month put with a strike price of $45 given the Black-Scholes option pricing model and the following information?   A) $0.57 B) $0.63 C) $0.91 D) $1.36 E) $1.54


A) $0.57
B) $0.63
C) $0.91
D) $1.36
E) $1.54

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

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Given the following information, what is the value of d2 as it is used in the Black-Scholes option pricing model? Given the following information, what is the value of d<sub>2</sub> as it is used in the Black-Scholes option pricing model?   A) -1.1346 B) -0.8657 C) -0.8241 D) -0.7427 E) -0.7238


A) -1.1346
B) -0.8657
C) -0.8241
D) -0.7427
E) -0.7238

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

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A.K. Scott's stock is selling for $38 a share. A 3-month call on this stock with a strike price of $35 is priced at $3.40. Risk-free assets are currently returning 0.18 percent per month. What is the price of a 3-month put on this stock with a strike price of $35?


A) $0.21
B) $0.49
C) $4.99
D) $5.85
E) $6.20

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

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Which one of the following can be used to replicate a protective put strategy?


A) riskless investment and stock purchase
B) stock purchase and call option
C) call option and riskless investment
D) riskless investment
E) call option, stock purchase, and riskless investment

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

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Given the (1) exercise price E, (2) time to maturity T, and (3) European put-call parity, the present value of E plus the value of the call option is equal to the:


A) current market value of the stock.
B) present value of the stock minus the value of the put.
C) value of the put minus the market value of the stock.
D) value of a risk-free asset.
E) stock value plus the put value.

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

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Assume the price of the underlying stock decreases. How will the values of the options respond to this change? I. call value decreases II. call value increases III. put value decreases IV. put value increases


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

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

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A put option that expires in eight months with an exercise price of $57 sells for $3.85. The stock is currently priced at $59, and the risk-free rate is 3.1 percent per year, compounded continuously. What is the price of a call option with the same exercise price and expiration date?


A) $6.67
B) $7.02
C) $7.34
D) $7.71
E) $7.80

F) B) and E)
G) C) and E)

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Which one of the following will provide you with the same value that you would have if you just purchased BAT stock?


A) sell a put option on BAT stock and invest at the risk-free rate of return
B) buy both a call option and a put option on BAT stock and also lend out funds at the risk-free rate
C) sell a put and buy a call on BAT stock as well as invest at the risk-free rate of return
D) lend out funds at the risk-free rate of return and sell a put option on BAT stock
E) borrow funds at the risk-free rate of return and invest the proceeds in equivalent amounts of put and call options on BAT stock

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

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Which one of the following acts like an insurance policy if the price of a stock you own suddenly decreases in value?


A) sale of a European call option
B) sale of an American put option
C) purchase of a protective put
D) purchase of a protective call
E) either the sale or purchase of a put

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

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To compute the value of a put using the Black-Scholes option pricing model, you:


A) first have to apply the put-call parity relationship.
B) first have to compute the value of the put as if it is a call.
C) compute the value of an equivalent call and then subtract that value from one.
D) compute the value of an equivalent call and then subtract that value from the market price of the stock.
E) compute the value of an equivalent call and then multiply that value by e-RT.

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

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Amy just purchased a right to buy 100 shares of LKL stock for $35 a share on June 20, 2009. Which one of the following did Amy purchase?


A) American delta
B) American call
C) American put
D) European put
E) European call

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

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Traci wants to have $16,000 six years from now and wants to deposit just one lump sum amount today. The annual percentage rate applicable to her investment is 6.8 percent. Which one of the following methods of compounding interest will allow her to deposit the least amount possible today?


A) annual
B) daily
C) quarterly
D) monthly
E) continuous

F) All of the above
G) B) and D)

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A purely financial merger:


A) increases the risk that the merged firm will default on its debt obligations.
B) has no effect on the risk level of the firm's debt.
C) reduces the value of the option to go bankrupt.
D) has no effect on the equity value of a firm.
E) reduces the risk level of the firm and increases the value of the firm's equity.

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

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Assume the standard deviation of the returns on ABC stock increases. The effect of this change on the value of the call options on ABC stock is measured by which one of the following?


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

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

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The Black-Scholes option pricing model can be used for:


A) American options but not European options.
B) European options but not American options.
C) call options but not put options.
D) put options but not call options.
E) both zero coupon bonds and coupon bonds.

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

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