Exam 3: Principles of Option Pricing

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Suppose you use put-call parity to compute a European call price from the European put price,the stock price,and the risk-free rate.You find the market price of the call to be less than the price given by put-call parity.Ignoring transaction costs,what trades should you do?

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Suppose that you observe a European option on a currency with an exchange rate of S0 and a foreign risk-free rate of ρ \rho .Which of the following inequalities correctly expresses the lower bound of the call?

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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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Which of the following is the lowest possible value of an American put on a stock with no dividends?

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Given a longer-lived American call and a shorter-lived American call with the same terms,the longer-lived call must always be worth

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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 November 115 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 November 115 call?

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

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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 difference between two American put options with different strike prices is less than or equal to the dollar difference between the strike prices,the higher strike price minus the lower strike price.

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Which of the following inequalities correctly states the relationship between the difference in the prices of two European calls that differ only by exercise price

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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 December 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 intrinsic value of the December 115 put?

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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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At expiration,the value of a European call is ST - X.

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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 European lower bound of the November 115 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 European lower bound of the November 115 call?

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Put-call parity is a relationship that can be used to provide the price of both a European put and call simultaneously.

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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 November 105 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 intrinsic value of the November 105 put?

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