Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
12th Edition
ISBN: 9781259144387
Author: Richard A Brealey, Stewart C Myers, Franklin Allen
Publisher: McGraw-Hill Education
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Chapter 21, Problem 5PS

Binomial model* Over the coming year, Ragwort’s stock price will halve to $50 from its current level of $100 or it will rise to $200. The one-year interest rate is 10%.

  1. a. What is the delta of a one-year call option on Ragwort stock with an exercise price of $100?
  2. b. Use the replicating-portfolio method to value this call.
  3. c. In a risk-neutral world, what is the probability that Ragwort stock will rise in price?
  4. d. Use the risk-neutral method to check your valuation of the Ragwort option.
  5. e. If someone told you that in reality there is a 60% chance that Ragwort’s stock price will rise to $200, would you change your view about the value of the option? Explain.
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