Consider a utility function: Utility=5√(income). Your income is $144, but there is an illness going around the area that costs $95 to cure. There is a 20% chance that you will catch this illness. What is your expected income? What is your expected utility? How much would a competitive insurance company charge as a premium to cover this illness? Using a graph and a few well-chosen sentences, explain why someone with this utility function would pay this insurance premium.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section4.3: Fitting Linear Models To Data
Problem 24SE: Table 6 shows the year and the number ofpeople unemployed in a particular city for several years....
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Consider a utility function: Utility=5√(income). Your income is $144, but there is an illness going around the area that costs $95 to cure. There is a 20% chance that you will catch this illness. What is your expected income? What is your expected utility? How much would a competitive insurance company charge as a premium to cover this illness? Using a graph and a few well-chosen sentences, explain why someone with this utility function would pay this insurance premium.

 

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