Suppose, after undergoing genetic testing, you discover that you have a health condition that could result in the emergence of a disability which would make it impossible for you to continue to work.The probability of this happening is 50%.Currently your expected lifetime earnings are $5,000,000, but if the disability hits, your expected lifetime earnings will consist primarily of income earned from government support programs -- and will not add up to more than $1 million.
a.Suppose your tastes are state-independent and the function can be used to represent your tastes in the expected utility form.Are you risk averse?
b.What is the highest premium you would pay to get fully insured?
c.What is the equation (in terms of -- consumption in the bad state -- and -- consumption in the good state) that defines the full menu of actuarily fair insurance contracts?
d.Set up the optimization problem that you would solve as you choose among actuarily fair insurance contracts.
e.Solve the optimization problem.What does this imply will be the insurance contract (b,p) that you buy -- where b is the benefit level and p is the insurance premium?
f.Finally, suppose you had state dependent tastes and that the functions and allowed us to use the expected utility form to represent your tastes.How does your answer to (e) change?

Question

Suppose, after undergoing genetic testing, you discover that you have a health condition that could result in the emergence of a disability which would make it impossible for you to continue to work.The probability of this happening is 50%.Currently your expected lifetime earnings are $5,000,000, but if the disability hits, your expected lifetime earnings will consist primarily of income earned from government support programs -- and will not add up to more than $1 million.
a.Suppose your tastes are state-independent and the function  can be used to represent your tastes in the expected utility form.Are you risk averse? 
b.What is the highest premium you would pay to get fully insured?
c.What is the equation (in terms of  -- consumption in the bad state -- and  -- consumption in the good state) that defines the full menu of actuarily fair insurance contracts? 
d.Set up the optimization problem that you would solve as you choose among actuarily fair insurance contracts.
e.Solve the optimization problem.What does this imply will be the insurance contract (b,p) that you buy -- where b is the benefit level and p is the insurance premium?
f.Finally, suppose you had state dependent tastes and that the functions and allowed us to use the expected utility form to represent your tastes.How does your answer to (e) change?

Quizplus · Accepted Answer

The Answer of Suppose, after undergoing genetic testing, you discover that you have a health condition that could result in the emergence of a disability which would make it impossible for you to continue to work.The probability of this happening is 50%.Currently your expected lifetime earnings are $5,000,000, but if the disability hits, your expected lifetime earnings will consist primarily of income earned from government support programs -- and will not add up to more than $1 million.
a.Suppose your tastes are state-independent and the function  can be used to represent your tastes in the expected utility form.Are you risk averse? 
b.What is the highest premium you would pay to get fully insured?
c.What is the equation (in terms of  -- consumption in the bad state -- and  -- consumption in the good state) that defines the full menu of actuarily fair insurance contracts? 
d.Set up the optimization problem that you would solve as you choose among actuarily fair insurance contracts.
e.Solve the optimization problem.What does this imply will be the insurance contract (b,p) that you buy -- where b is the benefit level and p is the insurance premium?
f.Finally, suppose you had state dependent tastes and that the functions and allowed us to use the expected utility form to represent your tastes.How does your answer to (e) change?

Suppose, After Undergoing Genetic Testing, You Discover That You Have