Stanton Company stock is trading for 50 in a two‑time period environment, so that each relevant time period is 6 months. The stock might increase by exactly 20% in just one period or perhaps in both periods. Of course, the stock might not increase in either period. If the stock price does not increase in a given period, it will decline by 16.67 percent in that particular period. One-year options with an exercise price equal to 60 are trading on this stock. The annual riskless rate of return equals 0.    a.  What is the value of a put in this environment?    b.  What is the probability (risk-neutral probability) implied in this framework that the Stanton Company stock price will exceed 40 when options expire?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Chapter1: Investments: Background And Issues
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Stanton Company stock is trading for 50 in a two‑time period environment, so that each relevant time period is 6 months. The stock might increase by exactly 20% in just one period or perhaps in both periods. Of course, the stock might not increase in either period. If the stock price does not increase in a given period, it will decline by 16.67 percent in that particular period. One-year options with an exercise price equal to 60 are trading on this stock. The annual riskless rate of return equals 0.

   a.  What is the value of a put in this environment?

   b.  What is the probability (risk-neutral probability) implied in this framework that the Stanton Company stock price will exceed 40 when options expire?

 

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