Answer to Question #206735 in Microeconomics for Master P

Question #206735

Using diagrams to describe Larry, Judy, and Carol’s risk preferences if their utility as a function of income is given as follows

a) Larry:

b) Judy:

c) Carol:



1
Expert's answer
2021-06-14T15:17:57-0400

Complete question:Using diagrams to describe Larry, Judy, and Carol’s risk preferences if their utility as a function of income is given as follows

Larry: UL(I) = 10"\\sqrt{\\smash[b]{I}}"

Judy: UJ (I"= 3I^2" .

Carol: UC (I)"= 20I" .

Answer:

Larry’s marginal utility of income is 5. As income increases, his marginal utility of income diminishes. This implies that Larry is risk-averse.





Judy’s marginal utility of income is 6I. As income increases, her marginal utility of income increases. This implies that Judy is a risk-lover.





Carol’s marginal utility of income is 20. As income increases, her marginal utility of income is constant. This implies that Carol is risk-neutral.


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