ECONOMICS W/CONNECT+20 >C<
20th Edition
ISBN: 9781259714993
Author: McConnell
Publisher: MCG CUSTOM
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Chapter 8, Problem 3RQ
To determine
Heuristics and biases.
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3
Jin's Utility Function
Wealth
Utility
(Dollars)
60,000
4,000
61,000
4,110
62,000
4,209
63,000
4,288
Refer to Table 27-1. If Jin's current wealth is $61,000, then
O his gain in utility from gaining $1,000 is less than his loss in utility from losing $1,000. Jin is not risk
averse.
O his gain in utility from gaining $1,000 is greater than his loss in utility from losing $1,000. Jin is not risk
averse.
O his gain in utility from gaining $1,000 is greater than his loss in utility from losing $1,000. Jin is risk
averse.
his gain in utility from gaining $1,000 is less than his loss in utility from losing $1,000. Jin is risk averse.
6.
Chapter 8 Solutions
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- Definition: The certainty equivalent (CE) of a lottery is the amount of money you would have to be given with certainty to be just as well-off with that lottery. Definition: The risk premium is the amount of money that a risk-averse individual will pay to avoid taking the risk. In other words, risk premium measures the amount of income that an individual would give up to leave her indifferent between a risky choice and a certain one. Assume that you have a von Neumann-Morgenstern utility function over lotteries that give you and amount x if Event 1 happens and y if Event 1 does not happen: U(x, y) = p √x + (1-p) √y. (a) If p=0.5, calculate the utility of a lottery that gives you $10,000 if Event 1 happens and $100 if Event 1 does not happen. In addition, calculate the expected income of the lottery. (b) If you were sure to receive $4,900, what would your utility be? (Hint: If you receive $4,900 with certainty, then you receive $4,900 in both events.) (c) Calculate the certainty…arrow_forwardp Consider the following lottery scenarios. Which of these is an example of the Allais Paradox, a well-known deviation from expected utility theory? O a. Lottery P offers a 1% chance of winning $10,000 and a 99% chance of winning nothing, while Lottery Q offers a 50% chance of winning $200 and a 50% chance of winning nothing. Even though the expected value of Lottery P is greater, most people choose Lottery Q because they overweight the low probability event in P. O b. Lottery M offers a 90% chance of winning $5,000,000 and a 10% chance of winning nothing, while Lottery N offers a 10% chance of winning $50,000,000 and a 90% chance of winning nothing. Despite Lottery N having a higher expected value, a majority of people choose Lottery M. Oc. Lottery X offers a 50% chance of winning $1,000 and a 50% chance of winning nothing, while Lottery Y offers a guaranteed win of $450. Despite the higher expected value of Lottery X ($500 vs $450), a majority of people choose Lottery Y. O d. Lottery…arrow_forward4. Kate has von Neumann-Morgenstern utility function U(x1,x2) = m7. She currently has $2025. a. Would she be willing to undertake a gamble that involves a gain $2875 with probability + and a loss of $1125 with probability ? Show your work and explain your answer. b. Would she be willing to undertake a gamble that involves a gain $2599 with probability and a loss of $800 with probability ? Show your work and explain your answer.arrow_forward
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