Stewart will have a total wealth of $12,000 this year, if he stays healthy. Suppose Stewart has a 50% chance of staying healthy and a 50% chance of getting sick. If Stewart gets sick, then he will have to pay $8,000 for medical bills, leaving him $4,000 of total wealth. Under these conditions, Stewarts expected wealth (a.k.a. expected value of wealth) is $8,000. Based on the graph shown below, what level of wealth with certainty (i.e., wealth that Stewart is certain to have) would make Stewart equally as happy as he is when facing the 50% chance of being sick?

Microeconomics
13th Edition
ISBN:9781337617406
Author:Roger A. Arnold
Publisher:Roger A. Arnold
Chapter16: Interest, Rent, And Profit
Section16.4: The Entrepreneur
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Stewart will have a total wealth of $12,000 this year, if he stays healthy. Suppose Stewart has a 50% chance of staying healthy and a 50% chance of getting sick. If Stewart gets sick, then he will have to pay $8,000 for medical bills, leaving him $4,000 of total wealth. Under these conditions, Stewarts expected wealth (a.k.a. expected value of wealth) is $8,000. Based on the graph shown below, what level of wealth with certainty (i.e., wealth that Stewart is certain to have) would make Stewart equally as happy as he is when facing the 50% chance of being sick?   

Utility
2
Utility Over Wealth
I
I
I
I
I
I
I
1
I
I
1
1
3 4 5 6 7 8 9
I
10
11
12
Wealth
(in thousands of dollars)
Transcribed Image Text:Utility 2 Utility Over Wealth I I I I I I I 1 I I 1 1 3 4 5 6 7 8 9 I 10 11 12 Wealth (in thousands of dollars)
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