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Problem 3. Suppose my utility function for asset position x is given by U(x) = x2 a) Am I risk averse, risk-neutral or risk seeking b) I know have $20,000 and am considering the following two lotteries: a. L: with probability 1, I lose $1000 b Lo with probability .9, 1 gain so, with probability 0.1, I lose $10,000. Determine which lottery I prefer Now assume the utility function for asset position x is given by u(x) = 2x + 1 c) Am I risk averse, risk seeking, or risk neutral. d) Given the 2 lotteries in part(b), which would I prefer