Exam 3: Principles of Option Pricing

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Which of the following statements about an American call is not true?

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D

The gain from the early exercise of an American put is X(1 + r)-T - S0.

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False

Another expression for intrinsic value is

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D

The lower the exercise price,the more valuable the call option.

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High volatility is bad for option holders because it increases the probability that the option will expire out-of-the-money.

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The following quotes were observed for options on a given stock on November 1 of a given year.These are American calls except where indicated.Use the information to answer questions 7 through 20. The following quotes were observed for options on a given stock on November 1 of a given year.These are American calls except where indicated.Use the information to answer questions 7 through 20.    The stock price was 113.25.The risk-free rates were 7.30 percent (November),7.50 percent (December)and 7.62 percent (January).The times to expiration were 0.0384 (November),0.1342 (December),and 0.211 (January).Assume no dividends unless indicated. -What is the intrinsic value of the January 110 call? The stock price was 113.25.The risk-free rates were 7.30 percent (November),7.50 percent (December)and 7.62 percent (January).The times to expiration were 0.0384 (November),0.1342 (December),and 0.211 (January).Assume no dividends unless indicated. -What is the intrinsic value of the January 110 call?

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What is the lowest possible value of a European put?

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The difference between a Treasury bill's face value and its price is called the

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Holding everything else constant,put options are more expensive in periods of high interest rates.

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The time value of a call is greatest when the stock price is very high.

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The lower bound of a European call on a non-dividend paying stock is lower than the intrinsic value of an American call.

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An American call should be exercised early when the stock price is extremely high and is expected to fall.

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The maximum value of a call is the stock price.

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The concept of the intrinsic value does not apply to European calls prior to expiration because they cannot be exercised immediately.

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The difference between an American call's price and its intrinsic value is called the time value because the call can be exercised at any time.

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The following quotes were observed for options on a given stock on November 1 of a given year.These are American calls except where indicated.Use the information to answer questions 7 through 20. The following quotes were observed for options on a given stock on November 1 of a given year.These are American calls except where indicated.Use the information to answer questions 7 through 20.    The stock price was 113.25.The risk-free rates were 7.30 percent (November),7.50 percent (December)and 7.62 percent (January).The times to expiration were 0.0384 (November),0.1342 (December),and 0.211 (January).Assume no dividends unless indicated. -What is the time value of the November 115 put? The stock price was 113.25.The risk-free rates were 7.30 percent (November),7.50 percent (December)and 7.62 percent (January).The times to expiration were 0.0384 (November),0.1342 (December),and 0.211 (January).Assume no dividends unless indicated. -What is the time value of the November 115 put?

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Suppose you knew that the January 115 options were correctly priced but suspected that the stock was mispriced.Using put-call parity,what would you expect the stock price to be? For this problem,treat the options as if they were European.

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The lower bound of a European put on a non-dividend paying stock is lower than the intrinsic value of an American put.

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On March 2,a Treasury bill expiring on April 20 had a bid discount of 5.80,and an ask discount of 5.86.What is the best estimate of the risk-free rate as given in the text?

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The spread between the prices of two European puts,alike in all respects except exercise price,cannot exceed the difference in their exercise prices.

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