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You are given the following information about the security market: i). There are two stocks, X and Y, which do not pay dividend within two
You are given the following information about the security market: i). There are two stocks, X and Y, which do not pay dividend within two years. ) The annualized (discrete-compound) risk-free rate is 10%. iii) There are three possible states for the prices of X and Y one year from now "state" "1" "2" "3" stock X 200 50 stock Y 10 10 400 10 Consider two forward contracts whose delivery dates are one year from now: the forward price of the contract on X is $110, and the forward price of the contract on Y is $132. a) Use X, Y, and the risk-free borrowing or saving to replicate the payoff of the portfolio on the delivery date: short TWO forward contracts on X, and long one forward contract on Y. (10 points) b) Suppose there are no arbitrage opportunities, what are the current prices of stocks X and Y. (10 points) You are given the following information about the security market: i). There are two stocks, X and Y, which do not pay dividend within two years. ) The annualized (discrete-compound) risk-free rate is 10%. iii) There are three possible states for the prices of X and Y one year from now "state" "1" "2" "3" stock X 200 50 stock Y 10 10 400 10 Consider two forward contracts whose delivery dates are one year from now: the forward price of the contract on X is $110, and the forward price of the contract on Y is $132. a) Use X, Y, and the risk-free borrowing or saving to replicate the payoff of the portfolio on the delivery date: short TWO forward contracts on X, and long one forward contract on Y. (10 points) b) Suppose there are no arbitrage opportunities, what are the current prices of stocks X and Y. (10 points)
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