Consider the securities model with determine the value of k such that the law of one price

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Consider the securities model with 

S* (0) = (1 2 3 k) and S*(1; 2) = = 1 1 1 2 6 9 3 3 7 6 12 19

determine the value of k such that the law of one price holds. Taking this particular value of k in Ŝ (0), does the securities model admit dominant trading strategies. If yes, find one such dominant trading strategy.

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