A stock price has an expected return of 16% and a volatility of 35%. The current price is $38. What is the probability that a European call option on the stock with an exercise price of $40 and a maturity date in six months will be exercised? What is the probability that a European put option on the stock with the same exercise price and maturity will be exercised?

Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Eugene F. Brigham, Phillip R. Daves
Chapter5: Financial Options
Section: Chapter Questions
Problem 4P: Put–Call Parity The current price of a stock is $33, and the annual risk-free rate is 6%. A call...
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A stock price has an expected return of 16% and a volatility of 35%. The current price is $38.

  1. What is the probability that a European call option on the stock with an exercise price of $40 and a maturity date in six months will be exercised?
  2. What is the probability that a European put option on the stock with the same exercise price and maturity will be exercised?

 

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