An individual has 40,000 in income per year. The person will get sick with probability 0.1. If he does get sick, the medical bills will total 30,000. The following tables shows the utility derived from certain amounts of income: Income Utility 40,000 200 37,000 195 35,000 190 30,000 170 20,000 140 10,000 100 Considering the probability of illness, what is the expected utility of income without insurance? Show your work.

An individual has 40,000 in income per year. The person will get sick with probability 0.1. If he does get sick, the medical bills will total 30,000. The following tables shows the utility derived from certain amounts of income: Income Utility 40,000 200 37,000 195 35,000 190 30,000 170 20,000 140 10,000 100 Considering the probability of illness, what is the expected utility of income without insurance? Show your work.

EBK HEALTH ECONOMICS AND POLICY

7th Edition

ISBN:9781337668279

Author:Henderson

Publisher:Henderson

Chapter7: The Market For Health Insurance

Section: Chapter Questions

Problem 7QAP

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An individual has 40,000 in income per year. The person will get sick with probability 0.1. If he does get sick, the medical bills will total 30,000. The following tables shows the utility derived from certain amounts of income: Income Utility 40,000 200 37,000 195 35,000 190 30,000 170 20,000 140 10,000 100 At the actuarially fair rate, will the person choose to buy insurance or face the risk of going uninsured? Explain why.
and you have a 10% chance of getting sick. Your income when sick is $0 and your income when healthy is $100. 1. Assume your utility over income is U=T ¥ 1. Graph your utility and income with income on the x-axis and utility on the y-axis. Show your income/utility when healthy and sick on the graph. 2. calculate your expected income. Show on graph. 3. calculate your expected utility. Show on graph. 1. Now you are offerred health insurance by Prof. Grossman's Totally Full and Fair Insurance Company. For a premium of $20, you will get a payout of $50 if you get sick. 1. Is the insurance company's name accurate (is this actuarially fair and full)? 2. What is the expected payout from this insurance? 3. What is the Income when sick and income when healthy under insurance? Show on your graph 4. What is the expected income and expected utility under this insurance? Show each on your graph 5. Propose a full and fair insurance given your 10% chance of getting sick and your healthy and sick…
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for remain uninsured? S. Amanda has a utility of money function of u(w)-w4, Her initial wealth is w-$20,000 and she faces a .10 probability of a loss L $5,000; with probability 9 she suffers no loss. Calculate the amount of insurance Amanda will purchase if $1 of coverage costs $.10 per dollar of coverage. Would purchase any insurance if the cost per dollar of coverage was $.20.
Uncertainty The Utility function is U = W1/3Flood occurs with Probabilities=1/25. The Value of a house is $450,000 if no flood. Aftera flood, the value is $50,000. Cost of insurance is 10 cents per dollar.a. Calculate EU b. Calculate EV c. Calculate CE d. Calculate RP e. Calculate the variance and standard deviation f. How much insurance should you buy? Assume your are paying premium in all events.g. What is the expected profit of the insurance company? h. Calculate the coefficient of absolute and relative risk aversion
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1. Suppose a person's utility is equal to U = Y and the initial income is $80,000. Medical expenses for a sick person amount to $40,000 and the probability of getting sick is 25%. Assume that the individual is required to pay the actuarially fair premium (r = p * M). a. b. What is the expected income when you are healthy? When you are sick? What is the expected utility if you buy insurance? What is the expected utility without insurance? C. What is the actuarially fair premium for the individual? d. Graph the individual's utility function. Clearly indicate the expected disposable income, utility with insurance, and expected utility without insurance. What is the dollar value of the individual's risk premium? Show this on the graph. How much is the individual willing to pay for insurance? e. f.
ease use utility of wealth function in the booK, 8-1 (see below). Certainty Utility B D 200 198 194 D' Total utility 170 of wealth C' Expected Utility A 140 10,000 15,000 19,000 20,000 Wealth FIGURE 8-1 Total Utility of Wealth and the Impact of Insurance Please explain the difference between the certainty utility line and the expected utility line b. Calculate your E(U), given an 80% change of being healthy and 20% of being sick, knowing that your income falls to $10,000 and your utility is 140 if you get sick. Calculate your E(W), given an 80% change of being healthy and 20% of being sick. d. Given that your Certainty Utility Function is U = 200Y-0.00154 and Y is your income, what is your Certainty Utility with insurance (if you are risk averse) What insurance premium will you pay to guarantee a utility of 197? Please provide a calculation.