Consider two individuals, Dave and Eva. Both Dave and Eva have initial wealth 810, 000 and face a 40% chance of losing L= 450,000. Dave has von Neumann-Morgenstern utility function up(x) = x and Eva has von Neumann-Morgenstern utility function u(x) = √√√x. 1. What do you know about Dave's and Eva's risk preferences? 2. What is the most Dave would be willing to pay for complete insurance against the loss? 3. What is the most Eva would be willing to pay for complete insurance against the loss?
Consider two individuals, Dave and Eva. Both Dave and Eva have initial wealth 810, 000 and face a 40% chance of losing L= 450,000. Dave has von Neumann-Morgenstern utility function up(x) = x and Eva has von Neumann-Morgenstern utility function u(x) = √√√x. 1. What do you know about Dave's and Eva's risk preferences? 2. What is the most Dave would be willing to pay for complete insurance against the loss? 3. What is the most Eva would be willing to pay for complete insurance against the loss?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![Exercise 7: Insurance
Consider two individuals, Dave and Eva. Both Dave and Eva have initial wealth 810, 000 and face a 40%
chance of losing L = 450,000. Dave has von Neumann-Morgenstern utility function up(x) = x and Eva has
von Neumann-Morgenstern utility function uê(x) = √x.
1. What do you know about Dave's and Eva's risk preferences?
2. What is the most Dave would be willing to pay for complete insurance against the loss?
3. What is the most Eva would be willing to pay for complete insurance against the loss?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffa5c6882-14cb-432d-908d-b24a601b46c2%2F1f27ce25-46b3-40dc-b68e-0e0764e6c928%2Fh2naqcm_processed.png&w=3840&q=75)
Transcribed Image Text:Exercise 7: Insurance
Consider two individuals, Dave and Eva. Both Dave and Eva have initial wealth 810, 000 and face a 40%
chance of losing L = 450,000. Dave has von Neumann-Morgenstern utility function up(x) = x and Eva has
von Neumann-Morgenstern utility function uê(x) = √x.
1. What do you know about Dave's and Eva's risk preferences?
2. What is the most Dave would be willing to pay for complete insurance against the loss?
3. What is the most Eva would be willing to pay for complete insurance against the loss?
Expert Solution
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In the study of economics, the term utility can be defined as the total satisfaction or benefit that is received by a consumer from consuming a specific good or service. Economic commodities will yield utility to the extent where the commodity is needed for the satisfaction for wants and needs of a consumer.
Utility function can be defined as the measure of welfare or satisfaction for any consumer as the function of consuming real commodities, like, food and clothing. The theory is mostly used in rational choice theory for analysing human behaviour.
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