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The hedge ratio of an option is also called the option's


A) alpha.
B) beta.
C) sigma.
D) delta.
E) rho.

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

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D

Relative to European puts, otherwise identical American put options


A) are less valuable.
B) are more valuable.
C) are equal in value.
D) will always be exercised earlier.
E) None of the options are correct.

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

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The price of a stock is currently $38. Over the course of the next year, the price is anticipated to rise to $41 or decline to $36. If the upside has a 65% probability of occurring and the risk free interest rate is 3%, what is the price of a six month call option with an exercise price of $35 using the binomial model?


A) $3.89
B) $4.18
C) $4.25
D) $4.70

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

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If the stock price decreases, the price of a put option on that stock __________, and that of a call option __________.


A) decreases; increases
B) decreases; decreases
C) increases; decreases
D) increases; increases
E) does not change; does not change

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

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At expiration, the time value of an in-the-money call option is always


A) equal to zero.
B) positive.
C) negative.
D) equal to the stock price minus the exercise price.
E) None of the options are correct.

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

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Portfolio A consists of 150 shares of stock and 300 calls on that stock. Portfolio B consists of 575 shares of stock. The call delta is 0.7. Which portfolio has a higher dollar exposure to a change in stock price?


A) Portfolio B
B) Portfolio A
C) The two portfolios have the same exposure.
D) Portfolio A if the stock price increases and portfolio B if it decreases
E) Portfolio B if the stock price increases and portfolio A if it decreases

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

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The Black-Scholes formula assumes thatI) the risk-free interest rate is constant over the life of the option.II) the stock price volatility is constant over the life of the option.III) the expected rate of return on the stock is constant over the life of the option.IV) there will be no sudden extreme jumps in stock prices.


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

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

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Other things equal, the price of a stock call option is positively correlated with which of the following factors?


A) The stock price
B) The time to expiration
C) The stock volatility
D) The exercise price
E) The stock price, time to expiration, and stock volatility

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

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The price of a stock put option is __________ correlated with the stock price and __________ correlated with the strike price.


A) positively; positively
B) negatively; positively
C) negatively; negatively
D) positively; negatively
E) not; not

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

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B

The intrinsic value of an out-of-the-money put option is equal to


A) the stock price minus the exercise price.
B) the put premium.
C) zero.
D) the exercise price minus the stock price.

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

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If the hedge ratio for a stock call is 0.30, the hedge ratio for a put with the same expiration date and exercise price as the call would be


A) 0.70.
B) 0.30.
C) −0.70.
D) −0.30.
E) −0.17.

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

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The price of a stock call option is __________ correlated with the stock price and __________ correlated with the strike price.


A) positively; positively
B) negatively; positively
C) negatively; negatively
D) positively; negatively
E) not; not

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

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If the hedge ratio for a stock call is 0.50, the hedge ratio for a put with the same expiration date and exercise price as the call would be


A) 0.30.
B) 0.50.
C) −0.60.
D) −0.50.
E) −0.17.

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

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D

The intrinsic value of an out-of-the-money call option is equal to


A) the call premium.
B) zero.
C) the stock price minus the exercise price.
D) the striking price.

E) B) and D)
F) C) and D)

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The time value of a put option isI) the difference between the option's price and the value it would have if it were expiring immediately.II) the same as the present value of the option's expected future cash flows.III) the difference between the option's price and its expected future value.IV) different from the usual time value of money concept.


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

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

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A put option has an intrinsic value of zero if the option is


A) at the money.
B) out of the money.
C) in the money.
D) at the money and in the money.
E) at the money or out of the money.

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

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An American-style call option with six months to maturity has a strike price of $42. The underlying stock now sells for $50. The call premium is $14. If the company unexpectedly announces it will pay its first-ever dividend four months from today, you would expect that


A) the call price would increase.
B) the call price would decrease.
C) the call price would not change.
D) the put price would decrease.
E) the put price would not change.

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

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Before expiration, the time value of an at-the-money put option is always


A) equal to zero.
B) equal to the stock price minus the exercise price.
C) negative.
D) positive.
E) None of the options are correct.

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

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The elasticity of a stock put option is always


A) positive.
B) smaller than one.
C) negative.
D) infinite.

E) B) and D)
F) B) and C)

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Before expiration, the time value of an at-the-money call option is usually


A) positive.
B) equal to zero.
C) negative.
D) equal to the stock price minus the exercise price.
E) None of the options are correct.

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

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