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Three Managers, John, Mary and Stephen Work for a Firm U=XU = \sqrt { X }

Question 17

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Three managers, John, Mary and Stephen work for a Firm A. John's utility function is U = X² , Mary's is U=XU = \sqrt { X } and Stephen's is U= X .
Which one of them is risk averse, risk neutral and risk seeking?
Show graphically how their utility functions differ.

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