Complete the following sentence: "The put-call parity relationship between American options..." O 1. is given by the following expression: St - K s Ct - Pt s St - K exp(-Ro (T-t)) O II. cannot be derived because these options can be exercised before the expiration date. O II. ields a larger value of the call option than for the European option counterparts. O IV. None of the above.

Financial Management: Theory & Practice
16th Edition
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Author:Brigham
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Chapter8: Financial Options And Applications In Corporate Finance
Section: Chapter Questions
Problem 5MC: In 1973, Fischer Black and Myron Scholes developed the Black-Scholes option pricing model (OPM). (1)...
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Complete the following sentence:
"The put-call parity relationship between American options..."
O I. is given by the following expression: St - K < Ct - Pt s St - K exp(-Ro (T-t))
O II. cannot be derived because these options can be exercised before the expiration date.
O II. yields a larger value of the call option than for the European option counterparts.
O IV. None of the above.
Transcribed Image Text:Complete the following sentence: "The put-call parity relationship between American options..." O I. is given by the following expression: St - K < Ct - Pt s St - K exp(-Ro (T-t)) O II. cannot be derived because these options can be exercised before the expiration date. O II. yields a larger value of the call option than for the European option counterparts. O IV. None of the above.
The stock price of Google is $32. The price of an American call option with strike price $32 and a six-month expiration date is $5 and the price of the corresponding Amertican put option
(same maturity and expiration date) is $6. The risk-free interest rate is 5%. Are these prices compatible with the absence of arbitrage opportunities? Why?
O I. No, because the put-call parity relationship suggests that ct - Pt = St - K exp(-Ro (T-t)) and this is not satisfied in this case.
O II. Yes, because the price of the American put option is greater than the price of the American call option violating the inequality conditions defining the put-call parity relationship.
O II. No, because the put-call parity relationship for American options suggests that St - K s Ct - Pt s St - K exp(-Ro (T-t)).
O IV. It depends on whether the stock pays dividends or not.
Transcribed Image Text:The stock price of Google is $32. The price of an American call option with strike price $32 and a six-month expiration date is $5 and the price of the corresponding Amertican put option (same maturity and expiration date) is $6. The risk-free interest rate is 5%. Are these prices compatible with the absence of arbitrage opportunities? Why? O I. No, because the put-call parity relationship suggests that ct - Pt = St - K exp(-Ro (T-t)) and this is not satisfied in this case. O II. Yes, because the price of the American put option is greater than the price of the American call option violating the inequality conditions defining the put-call parity relationship. O II. No, because the put-call parity relationship for American options suggests that St - K s Ct - Pt s St - K exp(-Ro (T-t)). O IV. It depends on whether the stock pays dividends or not.
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