Three European call options on a stock all expire in exactly 9 months' time, and have strike prices of $90, $100 and $110, respectively. Their market prices are $21.43, $16.20 and $12.05, respectively, and the current market price of the stock is $100. (a) Using only these options, create a portfolio to take advantage of a view that the stock price will move substantially from its current value before in the next year. [This can be, but need not be, a standard portfolio.] (b) Construct a table show the profit from this portfolio as a function of the stock price in a year's time. (c) Determine the range of stock prices at expiry for which your portfolio would result in a profit [and remember that the cost of setting up the portfolio occurs a year before any payoff]