PRIN.OF CORP.FINANCE-CONNECT ACCESS
PRIN.OF CORP.FINANCE-CONNECT ACCESS
13th Edition
ISBN: 2810023360757
Author: BREALEY
Publisher: MCG
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Chapter 21, Problem 29PS

Option risk In Section 21-1, we used a simple one-step model to value two Amazon options each with an exercise price of $900. We showed that the call option could be replicated by borrowing $407.06 and investing $490.91 in .54545 share of Amazon stock. The put option could be replicated by selling short $409.10 of Amazon stock and lending $488.46.

  1. a. If the beta of Amazon stock is 1.5, what is the beta of the call according to the one-step model?
  2. b. What is the beta of the put?
  3. c. Suppose that you were to buy one call and invest the present value of the exercise price in a bank loan. What would be the beta of your portfolio?
  4. d. Suppose instead that you were to buy one share and one put option of Amazon. What would be the beta of your portfolio now?
  5. e. Your answers to parts (c) and (d) should be the same. Explain.
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