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8. For a stock with current price 90, you are given the following option prices: Strike price Call premium Put premium 17.70 4.00 80 90

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8. For a stock with current price 90, you are given the following option prices: Strike price Call premium Put premium 17.70 4.00 80 90 11.90 7.10 100 7.60 12.20 An investor considers the following two strategies: 1. Buy a straddle expiring in one year. 2. Buy a strangle expiring in one year with strike prices 80 and 100. The continuously compounded risk-free interest rate is 6%. Let S be the stock price after one year. Determine the range of S for which the strangle has the higher profit

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