A price on a non-dividend paying stock is currently 50. Over each of the next two six-month periods the stock is expected to go up by 5% or down by 10%. The risk- free interest rate is 3% per annum with continuous compounding. (a) What is the value of a one-year European call option with a strike price of 48?

(b) What is the value of a one-year American call option with a strike price of 48? (c) Discuss how your answer to (b) would change if the stock instead actually did pay cash dividend

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