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:
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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