Joe has a wealth of 1 and is an expected utility maximizer. He is offered to...
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Joe has a wealth of 1€ and is an expected utility maximizer. He is offered to participate in a lottery L that gives him 80 € or 0 € with equal probability or to receive a sure amount of S=15€ instead. 50% - 80 € L So 100% 15 € 50% 0 € Joe assigns a risk premium RP=+16 € to the lottery L a) Does this risk premium points towards Joe being a risk prone, risk neutral, or risk averse decision maker? (2 point) b) Conclude from the information about RP whether Joe will prefer the lottery L or the sure amount S. (6 points) c) Demonstrate that Joe's risk premium for lottery L is in line with a utility function u(x)=vx = ±05 (10 points) d) Now assume Joe is more risk averse than previously assumed. Would this result in a higher or lower certainty equivalent for lottery L than before? (2 point) Joe has a wealth of 1€ and is an expected utility maximizer. He is offered to participate in a lottery L that gives him 80 € or 0 € with equal probability or to receive a sure amount of S=15€ instead. 50% - 80 € L So 100% 15 € 50% 0 € Joe assigns a risk premium RP=+16 € to the lottery L a) Does this risk premium points towards Joe being a risk prone, risk neutral, or risk averse decision maker? (2 point) b) Conclude from the information about RP whether Joe will prefer the lottery L or the sure amount S. (6 points) c) Demonstrate that Joe's risk premium for lottery L is in line with a utility function u(x)=vx = ±05 (10 points) d) Now assume Joe is more risk averse than previously assumed. Would this result in a higher or lower certainty equivalent for lottery L than before? (2 point)
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a The risk premium of 16 points towards Joe being risk averse A positive risk premium implies he req... View the full answer
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