Consider the gamma of a European call option with 1-year maturity on the S&P500 index. The option
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Question:
Consider the gamma of a European call option with 1-year maturity on
the S&P500 index. The option has a strike of 2300, the dividend yield on
the S&P500 index is 2%, and its volatility is 15%. Further assume the
riskless interest rate is 5%.
(a) Plot the gamma of the option as a function of the underlying asset
price.
(b) For what values of the S&P500 index is the option’s gamma the
highest when the call approaches expiration?
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