↑ Conside following FIRE EVENT FIRE → NO FIRE PROBABILITY 0.02 0.98 NCE PROBLEM Where fire destroys a OUTCOME 100 300 INSURANCE PAYOUT 200 0 thousand) house. INSURANCE PREMIUM 10 10 (a) What do we mean when we say an agent is Risk Averse? (b) Assume utility is U(x) = √(x). What is the expected payoff and expected utility of having no insurance? Show your work. (c) Suppose the Insurance Premium was $10. Would this risk averse agent buy insurance? Show your wor and explain.

Microeconomics
13th Edition
ISBN:9781337617406
Author:Roger A. Arnold
Publisher:Roger A. Arnold
Chapter1: What Economics Is About
Section1.3: Key Concepts In Economics
Problem 3ST
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Consider the following FIRE INSURANCE PROBLEM where fire destroys a $300 (thousand) house.<
INSURANCE PAYOUT INSURANCE PREMIUM
200
0
EVENT
FIRE →
NO FIRE
PROBABILITY
0.02
0.98
OUTCOME
100
300
10
10
(a) What do we mean when we say an agent is Risk Averse?
(b) Assume utility is U(x) = √(x). What is the expected payoff and expected utility of having no insurance?
Show your work.
(c) Suppose the Insurance Premium was $10. Would this risk averse agent buy insurance? Show your work
and explain.
(d) Suppose the probability of a fire rose to 5%. Would the agent buy insurance now? Show your work and
explain.
Transcribed Image Text:↑ Consider the following FIRE INSURANCE PROBLEM where fire destroys a $300 (thousand) house.< INSURANCE PAYOUT INSURANCE PREMIUM 200 0 EVENT FIRE → NO FIRE PROBABILITY 0.02 0.98 OUTCOME 100 300 10 10 (a) What do we mean when we say an agent is Risk Averse? (b) Assume utility is U(x) = √(x). What is the expected payoff and expected utility of having no insurance? Show your work. (c) Suppose the Insurance Premium was $10. Would this risk averse agent buy insurance? Show your work and explain. (d) Suppose the probability of a fire rose to 5%. Would the agent buy insurance now? Show your work and explain.
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