Jeremiah faces probability of liness p0.20, healthy-state income $310, and sick-state income is $110. Jerimiah's satisfaction depends on his earned income. His uity function U() is summarized in the table ** below INCOME 50 100 110 150 200 250 300 310 350 400 UTILITY 171 200 205 218 230 240 248 249 255 260 Using the information above, calculate Jeremiah's expected utility of income E[U] without health insurance PLEASE INCLUDE ONE DIGIT AFTER THE DECIMAL POINT

Jeremiah faces probability of liness p0.20, healthy-state income $310, and sick-state income is $110. Jerimiah's satisfaction depends on his earned income. His uity function U() is summarized in the table ** below INCOME 50 100 110 150 200 250 300 310 350 400 UTILITY 171 200 205 218 230 240 248 249 255 260 Using the information above, calculate Jeremiah's expected utility of income E[U] without health insurance PLEASE INCLUDE ONE DIGIT AFTER THE DECIMAL POINT

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter16: Labor Markets

Section: Chapter Questions

Problem 16.9P

See similar textbooks

Similar questions

Question 5 Suppose that there is a 10% chance Ja'Marr is sick and earns $10,000, and a 90% chance he is healthy and will earn $70,000. Suppose further that his utility function is the following (utility = square root of income) U (I) = VIncome Ja'Marr's utility from expected income is , and his expected utility of his income is 264.58; 100 248.12; 252.98 100; 265.58 252.98; 248.12
Utility Theory You live in an area that has a possibility of incurring a massive earthquake, so you are considering buyingearthquake insurance on your home at an annual cost of $180. The probability of an earthquake damagingyour home during one year is 0.001. If this happens, you estimate that the cost of the damage (fully coveredby earthquake insurance) will be $160,000. Your total assets (including your home) are worth $250,000. A. Apply Bayes’ decision rule to determine which alternative (take the insurance or not) maximizes yourexpected assets after one year.
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 Utility40,000 20037,000 19535,000 19030,000 17020,000 14010,000 100Considering the probability of illness, what is the expected utility of income without insurance? Show your work.
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…
Microeconomics Wilfred’s expected utility function is px1^0.5+(1−p)x2^0.5, where p is the probability that he consumes x1 and 1 - p is the probability that he consumes x2. Wilfred is offered a choice between getting a sure payment of $Z or a lottery in which he receives $2500 with probability p = 0.4 and $3700 with probability 1 - p. Wilfred will choose the sure payment if Z > CE and the lottery if Z < CE, where the value of CE is equal to ___ (please round your final answer to two decimal places if necessary)
Question 4 Suppose that there is a 10% chance Ja'Marr is sick and earns $10,000, and a 90% chance he is healthy and will earn $70,000. Suppose further that his utility function is the following (utility = square root of income) U (I) = VIncome Ja'Marr's expected income is O $60,000 O $70,000 $40,000 O $64,000
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.
7.7 A farmer believes there is a 50-50 chance that the next growing season will be abnormally rainy. His expected utility function has the form 1 expected utility =In n YNR +In YR, where YNR and YR represent the farmer's income in the states of “normal rain" and “rainy," respectively. a. Suppose the farmer must choose between two crops that promise the following income prospects: Crop YNR YR Wheat $28,000 $10,000 $15,000 Corn $19,000 Which of the crops will he plant? b. Suppose the farmer can plant half his field with each crop. Would he choose to do so? Explain your result. c. What mix of wheat and corn would provide maximum expected utility to this farmer? d. Would wheat crop insurance-which is available to farmers who grow only wheat and which costs $4,000 and pays off $8,000 in the event of a rainy growing season-cause this farmer to change what he plants?
. Priyanka has an income of £90,000 and is a von Neumann-Morgenstern expected utility maximiser with von Neumann-Morgenstern utility index . There is a 1 % probability that there is flooding damage at her house. The repair of the damage would cost £80,000 which would reduce the income to £10,000. a) Would Priyanka be willing to spend £500 to purchase an insurance policy that would fully insure her against this loss? Explain.
4. An individual's Bernoulli utility function is u(w) = Vw, and the individual has initial wealth 100. The individual might develop a health problem, which would reduce his or her wealth to 0. The individual might be "healthy" or "unhealthy." A healthy person develops the health problem with probability qL = 0.3, while an unhealthy person develops the health problem with probability qH = 0.7. The probability that the individual in question is healthy is 1/2. An individual knows whether he or she is healthy, but an insurer does not. Without insurance, a healthy person's wealth is 100 with probability 0.7 and 0 with probability 0.3. Without insurance, an unhealthy person's wealth is 100 with probability 0.3 and 0 with probability 0.7. Insurers only offer "full insurance." That is, if the adverse event occurs, they will pay back 100, restoring the individual's full wealth. Insurers set a price for this policy that is "actuarially fair." Insurance company makes no money on average.…
Anita bought a new scooter for $500. She is deciding whether she should insureher scooter against theft. She has recently read in the news that one out of 10 scooters arestolen in her town. She can buy scooter theft insurance at the price of 12 cents per $1 ofinsurance. How much insurance will Anita buy if her utility function is U(C) = 2C + 100?
Seung’s utility function is given by U = ln(C), where C is consumption. She makes $30,000 per year and enjoy jumping out of airplanes. There's a 5% chance that in the next year, she will break both legs, incur medical costs of $15,000, and lose an additional $5,000 from missing work. (a) What is Seung’s expected utility without insurance? (b) Suppose Seung can buy insurance that will cover the medical expenses but not the forgone part of her salary. How much would an actuarially fair policy cost, and what is her expected utility if she buys it? (c) Suppose Seung can buy insurance that will cover her medical expenses and forgone salary. How much would such a policy cost if it's actuarially fair, and what is her expected utility if she buys it?