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

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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 4 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) $1.16
D) $1.20
E) $1.27

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

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A stock is currently selling for $56 a share.The risk-free rate is 3 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) 0.05271
C) 0.05740
D) 0.06420
E) 0.06752

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

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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) C) and E)
G) A) and E)

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

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The delta of a call option on a firm's assets is 0.727.This means that a $195,000 project will increase the value of equity by:


A) $141,765.
B) $180,219.
C) $211,481.
D) $264,909.
E) $268,226.

F) All of the above
G) None of the above

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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 ≈ Change in stock value/Delta
B) Change in option value ≈ Change in stock value/(1 - Delta)
C) Change in option value ≈ Change in stock value/(1 + Delta)
D) Change in option value ≈ Change in stock value × (1 - Delta)
E) Change in option value ≈ Change in stock value × Delta

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

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Paying off a firm's debt is comparable to _____ on the assets of the firm.


A) purchasing a put option
B) purchasing a call option
C) exercising an in-the-money put option
D) exercising an in-the-money call option
E) selling a call option

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

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The stock of Edwards Homes,Inc.has a current market value of $23 a share.The 3-month call with a strike price of $20 is selling for $3.80 while the 3-month put with a strike price of $20 is priced at $0.54.What is the continuously compounded risk-free rate of return?


A) 4.43 percent
B) 4.50 percent
C) 4.68 percent
D) 5.00 percent
E) 5.23 percent

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

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A stock is selling for $60 per share.A call option with an exercise price of $65 sells for $3.31 and expires in 4 months.The risk-free rate of interest is 2.8 percent per year,compounded continuously.What is the price of a put option with the same exercise price and expiration date?


A) $5.99
B) $6.23
C) $6.47
D) $7.21
E) $8.94

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

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Today,you purchased 100 shares of Lazy Z stock at a market price of $47 per share.You also bought a one year,$45 put option on Lazy Z stock at a cost of $0.15 per share.What is the maximum total amount you can lose on these purchases?


A) -$4,715
B) -$4,685
C) -$4,015
D) -$215
E) -$0

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

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You invest $4,500 today at 6.5 percent,compounded continuously.How much will this investment be worth 8 years from now?


A) $6,728
B) $7,569
C) $8,311
D) $8,422
E) $8,791

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

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

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A firm has assets of $21.8 million and a 3-year,zero-coupon,risky bonds with a total face value of $8.5 million.The bonds have a total current market value of $8.1 million.How can the shareholders of this firm change these risky bonds into risk-free bonds?


A) purchase a call option with a 1-year life and a $8.1 million face value
B) purchase a call option with a 5-year life and a $8.5 million face value
C) purchase a put option with a 1-year life and a $21.8 million face value
D) purchase a put option with a 3-year life and a $8.1 million face value
E) purchase a put option with a 3-year life and an $8.5 million face value

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

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Travis owns a stock that is currently valued at $45.80 a share.He is concerned that the stock price may decline so he just purchased a put option on the stock with an exercise price of $45.Which one of the following terms applies to the strategy Travis is using?


A) put-call parity
B) covered call
C) protective put
D) straddle
E) strangle

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

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A.K.Scott's stock is selling for $37 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) $1.71
B) $2.49
C) $2.99
D) $3.85
E) $4.20

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

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The value of the risky debt of a firm is equal to the value of:


A) a call option plus the value of a risk-free bond.
B) a risk-free bond plus a put option.
C) the equity of the firm minus a put.
D) the equity of the firm plus a call option.
E) a risk-free bond minus a put option.

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

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Which of the following statements are correct? I.Increasing the time to maturity may not increase the value of a European put. II.Vega measures the sensitivity of an option's value to the passage of time. III.Call options tend to be more sensitive to the passage of time than are put options. IV.An increase in time decreases the value of a call option.


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

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

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