Given the discounted terminal payoff matrix and the current price vector S (0) = (123), find

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Given the discounted terminal payoff matrix

S*(1; 22) = 1 1 1 3 1 2 2 234

and the current price vector Ŝ(0) = (123), find the state price of the Arrow security with discounted payoff e,k = 1, 2, 3. 

Does the securities model admit dominant trading strategies? If so, find an example where one trading strategy dominates the other.

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