Suppose a company offers a standard insurance contract with a premium (r) of $1,000 and a payout (q) of $8,000. Suppose that Rock earns a healthy state income of $50,000, asick state income of $20,000, and has a 12.5% chance of becoming ill.From this information, you can determine that the expected profit for the insurance company is likely:negativezerox positive

Insurance is a financial arrangement or contract where an individual or element (the policyholder)…

Answered: Suppose a company offers a standard…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Suppose that Lizzo's utility function U is given by U = w.53, where w is wealth. Lizzo has wealth of £21,500 but faces a probability of getting ill and being left with only £11,180. She has an 0.8 probability of being well and a 0.2 probability of being ill.
Nick is risk averse and faces a financial loss of $40 with probability 0.1. If nothing happens, his wealth is $260. If there is an actuarially fair insurance available to him, he buys the insurance so that his wealth would be the same in either state. True False Suppose that Jim has a von Neumann-Morgenstern utility function: U(c) = c². %3D Based on his utility function, we can tell that Jim is There is not enough information to determine his risk preference. risk averse. risk neutral. risk loving.
Abigail is a consumer whose utility is a function of her total wealth W. u(W ) = log W. Suppose that Abigail begins with initial wealth of A = 100 but will suffer a serious illness with probability π = 0.15 which will require extensive treatment costing L = 80. To hedge against this risk, Abigail considers buying a health insurance policy. She may buy as much insurance I as she wishes at a cost of p per dollar of coverage, so her payoffs in each state are Healthy Ill Probability 0.85 0.15 No Insurance 100 20 Claim 0 I Premium −pI −pI a) Show that Abigail is risk averse. b) Suppose that the insurance premiums are actuarially fair so that p = 0. Find Abigail’s expected wealth E[W ] and expected utility E[u(W )] as functions of how much insurance she buys I. c) How much insurance should Abigail buy?
You need to hire some new employees to staff your startup venture. You know that potential employees are distributed throughout the population as follows, but you can't distinguish among them: Employee Value $30,000 $49,000 $68,000 $87,000 Probability 0.25 0.25 0.25 0.25 The expected value of hiring one employee is $ Suppose you set the salary of the position equal to the expected value of an employee. Assume that employees will not work for a salary below their employee value. The expected value of an employee who would apply for the position, at this salary, is $ Given this adverse selection, your most reasonable salary offer (that ensures you do not lose money) is
Assume that 5% of the people who receive Treatment A die. The sixty percent who fully recover live another 10 years. The treatment is only partially successful for 35% of the patients, who live another 4 years. What is the expected value of Treatment A, expressed as additional years of life?
Shane just bought a house worth $360,000 in an area that is known for floods. A flood occurs with a 5% chance and if it occurs, his home is ✓ for reduced in value to $202,500. Shane has utility function given by U(X)=√√X. He would be willing to pay a maximum of flood insurance. The fair insurance premium for flood insurance is Shane's risk premium is Suppose, instead, that Shane's utility function is given by U(X) = X². Then, the maximum he would be willing to pay for flood insurance is
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. b) What would be the highest price (premium) that she would be willing to pay for an insurance policy that fully insures her against the flooding damage?
Calculate absolute and relative risk aversion for U(x)=ln(x) and U(x)=-e-x where wealth is (w)

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