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Consider the lottery that assigns a probability 1r of obtaining a level of consumption CH and a probability 1 7r of obtaining a low level

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Consider the lottery that assigns a probability 1r of obtaining a level of consumption CH and a probability 1 7r of obtaining a low level of consumption CL with CH > CL- Consider an individual facing such a lottery with utility function u(c) that has the pr0perties that more is better (that is, a strictly positive marginal utility of consumption at all levels of c) and diminishing marginal utility of consumption, u\"(c) 71" > 7r. Using a single diagram, plot the risk premium for each of these three lotteries. Does the risk premium increase or decrease as we increase 7r across these three lotteries? Provide the intuition for your result

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