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 $100. 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 $10. A trip to the doctor costs $75. 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 $13 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 $100. 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 $10. A trip to the doctor costs $75. 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 $13 for a doctor's visit. The insurance company now makes a profit of $ ✓per consumer. By implementing a copay, the insurance company ✓ the ✓ problem.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![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 $100. 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 $10. A trip to the doctor costs $75.
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 $13 for a
doctor's visit. The insurance company now makes a profit of $
✓per consumer. By implementing a copay, the insurance company
✓ problem.
✓the](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8fec5f0b-3332-4e83-8b1c-3dcc90cc5025%2F23e45959-db9c-41d6-b68e-23c93933f97e%2F6vvyln_processed.png&w=3840&q=75)
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 $100. 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 $10. A trip to the doctor costs $75.
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 $13 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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