1. Consider a portfolio of a stock and a short call option with the following properties. A....
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Question:
1. Consider a portfolio of a stock and a short call option with the following properties.
A. Stock price is currently $30.
B. In 3 months, it will be either $32 or $28.
C. Call option expiration is 3 months. The strike price is $31.
• Draw the binomial tree of payoffs.
• What is the number of shares which makes the portfolio risk-free? (Answer can be less than one share)
• What is the value of the option today?
• What is the risk-neutral probability value?
• Find the value of the option using this risk-neutral probability. (Show the equation, too)
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