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The current price of Gringotts Bank Corporation is $50. Theprice will increase by 40% or fall by 35% during each of the nexttwo years. The company will pay a $9 dividend at the end of thefirst year if the stock price has risen, and will pay a $4 dividendif the price has fallen. It will not pay any dividends at the endof second year. The annualized, continuously compounded interestrate is 5%. What is the value of a 2-year European call option witha $45 strike price? What if it’s an American call option?
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