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?

Microeconomic Theory
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ISBN:9781337517942
Author:NICHOLSON
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Chapter7: Uncertainty
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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?
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?
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