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4. (4 points) The current price of an asset is $162.93. The price of an 8-week (T = 0.154 year) European 165-call option is $6.75.

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4. (4 points) The current price of an asset is $162.93. The price of an 8-week (T = 0.154 year) European 165-call option is $6.75. The price of an 8-week European 170-call option is $4.35. The dividend yield of the asset is 1.89%. The risk free interest rate is 0.83% per year with continuous compounding. Compute the implied volatilities of the two call options. Suppose you are interested in a European 167.5-call with the same maturity. If interpolation is used, what volatility should you use to price the 167.5-call? What's the price of the 167.5-call

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