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Suppose that we know that a certain stock for which will rise or drop in price by exactly 10% every 6 months. Today this stock

Suppose that we know that a certain stock for which will rise or drop in price by exactly 10% every 6 months. Today this stock is trading at exactly $100 and the continuously compounded interest rate is 4%. (a) What is the price of an at-the-money American Call Option on this stock expiring in 1 year? (b) What is the price of an at-the-money American Put Option on this stock expiring in 1 year?

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