Consider a health insurance market. The market has many insurers so that each insurance company offers insurance at the fair insurance premium. Each consumer has utility function, U(X)=√√X and has an initial wealth of $200. Consumers have access to a (magical) gym that reduces their probability of needing to go to the doctor from 90% to 10%. A gym membership costs $6. A trip to the doctor costs $120. Suppose insurance companies charge the fair insurance premium which assumes all consumers go to the gym. This fair insurance premium is $ ✓ and the insurance company makes a profit of $ per consumer. Suppose insurance companies continue to charge the fair insurance premium that assumes all consumers go to the gym, but now charges a copay of $15 for a doctor's visit. The insurance company now makes a profit of $ per consumer. By implementing a copay,

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter18: Asymmetric Information
Section: Chapter Questions
Problem 18.8P
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  1. Consider a health insurance market. The market has many insurers so that each insurance company offers insurance at the fair insurance premium.

    Each consumer has utility function,  and has an initial wealth of $200. Consumers have access to a (magical) gym that reduces their probability of needing to go to the doctor from 90% to 10%. A gym membership costs $6. A trip to the doctor costs $120.

    Suppose insurance companies charge the fair insurance premium which assumes all consumers go to the gym. This fair insurance premium is $? and the insurance company makes a profit of $? per consumer.

    Suppose insurance companies continue to charge the fair insurance premium that assumes all consumers go to the gym, but now charges a copay of $15 for a doctor's visit. The insurance company now makes a profit of $ per consumer. By implementing a copay, the insurance company  the  problem.

Consider a health insurance market. The market has many insurers so that each insurance
company offers insurance at the fair insurance premium.
Each consumer has utility function, U(X)=√√X and has an initial wealth of $200. Consumers
have access to a (magical) gym that reduces their probability of needing to go to the doctor from
90% to 10%. A gym membership costs $6. A trip to the doctor costs $120.
Suppose insurance companies charge the fair insurance premium which assumes all consumers go
to the gym. This fair insurance premium is $
and the insurance company
makes a profit of $
per consumer.
Suppose insurance companies continue to charge the fair insurance premium that assumes all
consumers go to the gym, but now charges a copay of $15 for a doctor's visit. The insurance
company now makes a profit of $
✓ per consumer. By implementing a copay,
the insurance company
✓ problem.
✓the
Transcribed Image Text:Consider a health insurance market. The market has many insurers so that each insurance company offers insurance at the fair insurance premium. Each consumer has utility function, U(X)=√√X and has an initial wealth of $200. Consumers have access to a (magical) gym that reduces their probability of needing to go to the doctor from 90% to 10%. A gym membership costs $6. A trip to the doctor costs $120. Suppose insurance companies charge the fair insurance premium which assumes all consumers go to the gym. This fair insurance premium is $ and the insurance company makes a profit of $ per consumer. Suppose insurance companies continue to charge the fair insurance premium that assumes all consumers go to the gym, but now charges a copay of $15 for a doctor's visit. The insurance company now makes a profit of $ ✓ per consumer. By implementing a copay, the insurance company ✓ problem. ✓the
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