4. (5 points) S&P 500 index is currently $2900. The dividend yield of S&P 500...

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4. (5 points) S&P 500 index is currently $2900. The dividend yield of S&P 500 is 2%. The risk-free interest rate in US is 3% per year with continuous compounding. There are two 3-month European call options on S&P 500. The price of the call with strike price $2975 is currently $33.97. The price of the call with strike price $2925 is currently $60.10. What are the implied volatilities of these two options? If linear interpolation is used, what should be the volatility and option price of a 3-month call with strike price $2950? 4. (5 points) S&P 500 index is currently $2900. The dividend yield of S&P 500 is 2%. The risk-free interest rate in US is 3% per year with continuous compounding. There are two 3-month European call options on S&P 500. The price of the call with strike price $2975 is currently $33.97. The price of the call with strike price $2925 is currently $60.10. What are the implied volatilities of these two options? If linear interpolation is used, what should be the volatility and option price of a 3-month call with strike price $2950

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