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EXERCISE 28. Let the matriz R=(r+,r2, ...,PA), of dimensions SxA, be a financial market. Denote the set of prices that allow no arbitrage opportunities by

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EXERCISE 28. Let the matriz R=(r+,r2, ...,PA), of dimensions SxA, be a financial market. Denote the set of prices that allow no arbitrage opportunities by Q = {q ERA | R8 >0 = 99 > 0); and denote the set of rationalizable asset prices by Q2 ={q ERA | 31 R$+ : TR = q). 1. Show that Q. is non-empty and conver, and is a (positive) cone. 2. Argue that Q2 is non-empty and conver, and is a (positive) cone. 3. Argue that Q2 Q. 1 That is, for all q E Q, for all & R++, aq

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