The following information is given about an Option on a stock: S(0)=$31, X-$34, rf-9%, variance (sigma squared)=20%, T=182.5 days, Dividend $1.75 in 45 days (1) Calculate the price of a European put option using the Black-Scholes pricing model (show all workings including d1, d2, N(d1), N(d2)) (2) Calculate the price of the corresponding European call option (hint: put call parity) (3) Suppose you feel that the put option is overpriced. What strategy should you use to exploit the apparent mispricing?

Financial Management: Theory & Practice
16th Edition
ISBN:9781337909730
Author:Brigham
Publisher:Brigham
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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The following information is given about an Option on a stock: S(0)=$31, X=$34, rf=9%, variance (sigma squared)=20%, T=182.5 days, Dividend $1.75 in 45 days
(1)
Calculate the price of a European put option using the Black-Scholes pricing model (show all workings including d1, d2, N(d1), N(d2))
(2) Calculate the price of the corresponding European call option (hint: put call parity)
(3) Suppose you feel that the put option is overpriced. What strategy should you use to exploit the apparent mispricing?
(4) The market has entered a state of significant volatility, and you believe the implied volatility is incorrect. You believe it should be 10% higher.
What trade would you undertake to exploit this arbitrage
Transcribed Image Text:The following information is given about an Option on a stock: S(0)=$31, X=$34, rf=9%, variance (sigma squared)=20%, T=182.5 days, Dividend $1.75 in 45 days (1) Calculate the price of a European put option using the Black-Scholes pricing model (show all workings including d1, d2, N(d1), N(d2)) (2) Calculate the price of the corresponding European call option (hint: put call parity) (3) Suppose you feel that the put option is overpriced. What strategy should you use to exploit the apparent mispricing? (4) The market has entered a state of significant volatility, and you believe the implied volatility is incorrect. You believe it should be 10% higher. What trade would you undertake to exploit this arbitrage
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