Today's prices of 6-month call option on stocks XYZ Current price of the stock, S(t), is $50 Call Call Call Expiration 6 months 6 months 6 months Strike $50 $60 $70 Option Price $5.50 Sell (write) 2 $60-strike calls Buy 1 $70-strike call $3 $1 Considering buying an option "butterfly spread" on XYZ. This consists of: Buy 1 $50-strike call Implied vol 40% 35% 32% a) What would you pay or get paid to establish this butterfly spread? b) Plot the payoff of this option as a function of S(T), the terminal price of the stock. X-axis is S(t) and y-axis is payoff c) Only the price for 3 different 6-month option on XYZ. Why can we say, "The information give suggest that the 6-month volatility skew on XYZ is downward sloping"? Can we be 100% certain that lower-strike 6-month options (For instance, out of the money puts) would trade at higher vols? d) What do we mean by the "total delta" of this option portfolio
Today's prices of 6-month call option on stocks XYZ Current price of the stock, S(t), is $50 Call Call Call Expiration 6 months 6 months 6 months Strike $50 $60 $70 Option Price $5.50 Sell (write) 2 $60-strike calls Buy 1 $70-strike call $3 $1 Considering buying an option "butterfly spread" on XYZ. This consists of: Buy 1 $50-strike call Implied vol 40% 35% 32% a) What would you pay or get paid to establish this butterfly spread? b) Plot the payoff of this option as a function of S(T), the terminal price of the stock. X-axis is S(t) and y-axis is payoff c) Only the price for 3 different 6-month option on XYZ. Why can we say, "The information give suggest that the 6-month volatility skew on XYZ is downward sloping"? Can we be 100% certain that lower-strike 6-month options (For instance, out of the money puts) would trade at higher vols? d) What do we mean by the "total delta" of this option portfolio
Chapter20: Financing With Derivatives
Section: Chapter Questions
Problem 1P
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