Suppose that Mira has a utility function given by U=2I+10√I. She is  considering two job opportunities. The first job pays a salary of $40,000 for sure. The second job pays a base salary of $20,000 but offers the possibility of a $40,000 bonus on top of your base salary. She believes that there is a probability of p=0.50 that she will earn the bonus. What is the expected salary of the second job?  Which offer gives Mira a higher expected utility?  Based on this information, is Mira risk adverse, risk neutral, or risk-loving?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.1P
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Suppose that Mira has a utility function given by U=2I+10√I. She is  considering two job opportunities. The first job pays a salary of $40,000 for sure. The second job pays a base salary of $20,000 but offers the possibility of a $40,000 bonus on top of your base salary. She believes that there is a probability of p=0.50 that she will earn the bonus.

What is the expected salary of the second job? 

Which offer gives Mira a higher expected utility? 

Based on this information, is Mira risk adverse, risk neutral, or risk-loving?

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