] Risk Aversion Suppose that, when an individual gets D dollars, we define their payoff to be D in order to model their level of risk-aversion. Consider a gamble that pays $1,000 with probability 0.64, and $0 with probability 0.36. What is the expected value of this gamble? E [gamble] =$ 640 I This individual would be indifferent between the gamble and receiving $ 640 would be willing to pay up to $0 with certainty, implying that they to avoid the risk associated with the gamble (meaning, they would be willing to pay up to this amount to receive the expected value of the gamble with certainty). Hint: graphing the re-scaled payoff and expected value of the gamble will really help you think through this question (see the Ch. 19 Part 2 Lecture and Practice Application 6 videos for examples of these graphs and their interpretations).

College Algebra
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Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
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Risk Aversion
Suppose that, when an individual gets D dollars, we define their payoff to be D in order to model their level of risk-aversion. Consider a
gamble that pays $1,000 with probability 0.64, and $0 with probability 0.36.
What is the expected value of this gamble? E [gamble] =$ 640
I
This individual would be indifferent between the gamble and receiving $ 640
would be willing to pay up to $0
with certainty, implying that they
to avoid the risk associated with the gamble (meaning, they would be willing to
pay up to this amount to receive the expected value of the gamble with certainty).
Hint: graphing the re-scaled payoff and expected value of the gamble will really help you think through this question (see the Ch. 19
Part 2 Lecture and Practice Application 6 videos for examples of these graphs and their interpretations).
Transcribed Image Text:] Risk Aversion Suppose that, when an individual gets D dollars, we define their payoff to be D in order to model their level of risk-aversion. Consider a gamble that pays $1,000 with probability 0.64, and $0 with probability 0.36. What is the expected value of this gamble? E [gamble] =$ 640 I This individual would be indifferent between the gamble and receiving $ 640 would be willing to pay up to $0 with certainty, implying that they to avoid the risk associated with the gamble (meaning, they would be willing to pay up to this amount to receive the expected value of the gamble with certainty). Hint: graphing the re-scaled payoff and expected value of the gamble will really help you think through this question (see the Ch. 19 Part 2 Lecture and Practice Application 6 videos for examples of these graphs and their interpretations).
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