Consider a 6-months call with a strike price of 9000 on a stock whose current price is 10000. Assume that there are two time steps of 3 month each, and in each time step the stock price either moves up by 10 percent or moves down by 10 percent. The risk free rate is 10 percent per annum. Calculate the American call (A.C) option price and also European call (E.C) options and find out the difference between American Call and European Call price (i.e. A.C-E.C). All the numbers should be rounded to two decimals only.

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