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International Business Machines Corps stock closed at $94.15 on March 27, 2021. Stocks daily volatility over the past year was 2.482%. Companys quarterly dividend is

  1. International Business Machines Corps stock closed at $94.15 on March 27, 2021. Stocks daily volatility over the past year was 2.482%. Companys quarterly dividend is $0.50 per share. Risk-free rate is 5%. (Use Black-Scholes approach.)
  1. Calculate the value of a European call option on this stock with an exercise price of $100 and expiration of Oct 21 (Hint: Option expire on the 3rd Friday of October of 2021 use this to count the number of days to expiration, and then convert that to the years, i.e. T).
  2. Calculate the value of a European put option on this stock with an exercise price of $100 and expiration of Oct 21 (i.e. 3rd Friday of October of 2021).
  3. Set the put-call parity between the options in parts a and b [Optional].

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