Suppose that call options on ExxonMobil stock with time to expiration 6 months and strike price $87 are selling at an implied volatility of 27%. ExxonMobil stock price is $87 per share, and the risk-free rate is 6%. Required: If you believe the true volatility of the stock is 31%, would you want to buy or sell call options? Now you want to hedge your option position against changes in the stock price. How many shares of stock will you hold for each option contract purchased or sold?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Suppose that call options on ExxonMobil stock with time to expiration 6 months and strike price $87 are selling at an implied volatility of 27%. ExxonMobil stock price is $87 per share, and the risk-free rate is 6%.

Required:

  1. If you believe the true volatility of the stock is 31%, would you want to buy or sell call options?
  2. Now you want to hedge your option position against changes in the stock price. How many shares of stock will you hold for each option contract purchased or sold?

 

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