The following information is given: Time to expiration 1 year. Standard deviation 40% per year. Exercise price $72. Stock price $72. Risk free rate 4% a year.   Use the Black–Scholes formula to find the value of the calloption. What is the value of the put option with the same exercise price and time to expiration? What is the value of the call option if time to expiration is 3 years? What is the value of the call option if the standard deviation is 20%? What is the value of the call option if the exercise price is $90? What is the value of the call option if the current stock price is $50? What is the value of the call option if the risk-free rate is 8%?

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
Section: Chapter Questions
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The following information is given:

  1. Time to expiration 1 year.

  2. Standard deviation 40% per year.

  3. Exercise price $72.

  4. Stock price $72.

  5. Risk free rate 4% a year.

 

  1. Use the Black–Scholes formula to find the value of the calloption.

  2. What is the value of the put option with the same exercise price and time to expiration?

  3. What is the value of the call option if time to expiration is 3 years?

  4. What is the value of the call option if the standard deviation is 20%?

  5. What is the value of the call option if the exercise price is $90?

  6. What is the value of the call option if the current stock price is $50?

  7. What is the value of the call option if the risk-free rate is 8%?

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