Tess and Lex earn $40,000 per year and all earnings are spent on consumption (c).  Tess and Lex both have the utility function c.  Both could experience an adverse event that results in earnings of $0 per year.  Tess has a 1% chance of experiencing an adverse event and Lex has a 12% chance of experiencing an adverse event.  Tess and Lex are both aware of their risk of an adverse event. 1. Suppose the actuarially fair premium charge is 2600, Calculate Tess’ expected utility with full insurance if she is charged the premium. Round to two decimal places.

Microeconomic Theory
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ISBN:9781337517942
Author:NICHOLSON
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Chapter7: Uncertainty
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Tess and Lex earn $40,000 per year and all earnings are spent on consumption (c).  Tess and Lex both have the utility function c.  Both could experience an adverse event that results in earnings of $0 per year.  Tess has a 1% chance of experiencing an adverse event and Lex has a 12% chance of experiencing an adverse event.  Tess and Lex are both aware of their risk of an adverse event.

1. Suppose the actuarially fair premium charge is 2600, Calculate Tess’ expected utility with full insurance if she is charged the premium. Round to two decimal places.

2. What is the premium that private insurance companies will charge for full insurance? Round to two decimal places.

3.Assume the social welfare function is the sum of the Tess’ and Lex’s utility functions. Select the correct statement regarding the explanation for what has happened in the private market and the role of social insurance.

a.Adverse section has lead to market failure. The government could improve social welfare by providing full insurance and charging the average of actuarially fair premiums.
b.Adverse section has lead to market failure. The government could improve social welfare by providing partial insurance at an actuarially fair premium.
c.Moral Hazard has lead to market failure. The government could improve social welfare providing partial insurance and charging the average of actuarially fair premiums.
d.There is no market failure and the government could not improve social welfare by providing insurance.
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Tess and Lex earn $40,000 per year and all earnings are spent on consumption (c).  Tess and Lex both have the utility function c.  Both could experience an adverse event that results in earnings of $0 per year.  Tess has a 1% chance of experiencing an adverse event and Lex has a 12% chance of experiencing an adverse event.  Tess and Lex are both aware of their risk of an adverse event.

 

Assume the social welfare function is the sum of the Tess’ and Lex’s utility functions. Select the correct statement regarding the explanation for what has happened in the private market and the role of social insurance.

a.Adverse section has lead to market failure. The government could improve social welfare by providing full insurance and charging the average of actuarially fair premiums.
b.Adverse section has lead to market failure. The government could improve social welfare by providing partial insurance at an actuarially fair premium.
c.Moral Hazard has lead to market failure. The government could improve social welfare providing partial insurance and charging the average of actuarially fair premiums.
d.There is no market failure and the government could not improve social welfare by providing insurance.
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