A) Consider an individual who faces uncertainty about their health in the future. Health can be good with probability 94%, bad with probability 5%, and really ugly with probability 1%. C = 100,000 is consumption with good health, C = 50,000 is consumption with bad health, and C = 0 is consumption with really ugly health. Utility is . What is the actuarially fairly priced insurance that will compensate fully for the loss?   Group of answer choices   - $1000   - $2500   - $3500   - 0   B) Given the information of the last question, what is expected utility with no insurance?   Group of answer choices   - 308.43   - 0   - 30.843   - 100000   C) Given the information of the last two questions, what is expected utility with full insurance that is actuarially fairly priced?   Group of answer choices   - 0   - 310.64   - 308.43   - 96,500

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
Problem 16CR
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A) Consider an individual who faces uncertainty about their health in the future. Health can be good with probability 94%, bad with probability 5%, and really ugly with probability 1%. C = 100,000 is consumption with good health, C = 50,000 is consumption with bad health, and C = 0 is consumption with really ugly health. Utility is . What is the actuarially fairly priced insurance that will compensate fully for the loss?

 

Group of answer choices

 

- $1000

 

- $2500

 

- $3500

 

- 0

 

B) Given the information of the last question, what is expected utility with no insurance?

 

Group of answer choices

 

- 308.43

 

- 0

 

- 30.843

 

- 100000

 

C) Given the information of the last two questions, what is expected utility with full insurance that is actuarially fairly priced?

 

Group of answer choices

 

- 0

 

- 310.64

 

- 308.43

 

- 96,500

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