Given the discounted terminal payoff matrix

and the current price vector Ŝ^∗ (0) = (134). 

(a) By presenting a counter example, show that the law of one price does not hold for this one-period securities model. 

(b) How can we modify the current price vector such that the law of one price holds under the modified model?  

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1 3*(1; 2) = | 1 1 3 5 24 1 3.