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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 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.Consider an individual for whom utility is U = ln(I) There are two states of the world (G,B): Outcome G = 2000 with probability .4 Outcome B = 1000 with probability .6 W1 = 2000 L = 1000 π = .6 Option = invest $50 to lower π to .2 An insurance company is willing to offer a contract in which the individual pays a premium and gets full compensation for the loss (1000) in the bad state. a) With no insurance but the option of investing the $50, what is the utility of the individual? b) What is the first-best outcome for utility of the individual, insurance premium, and profits of the insurance company?8 An investor with initial wealth $20000 and utility function U(x) = ln(x) is considering an investment that has a 80% chance of gaining r% and a 20% chance of losing s%. (1) Find in terms of r and s the certainty equivalent of this investment. (2) If s = 10, find the range of values of r for which the investor will avoid this investment.,
- Consider an individual with an expected utility function of the form u(w) = √wwhere wrep-resents this individual’s wealth. This individual currently has wealth of $100. This individualfaces a risk of losing $64 with a probability of (1/2). The maximum price that this individualwould pay for insurance that covers the entire $64 loss is?ASAP Consider an individual for whom utility is U = ln(I) There are two states of the world (G,B): Outcome G = 2000 with probability .4 Outcome B = 1000 with probability .6 W1 = 2000 L = 1000 π = .6 Option = invest $50 to lower π to .2 An insurance company is willing to offer a contract in which the individual pays a premium and gets full compensation for the loss (1000) in the bad state. a) With no insurance but the option of investing the $50, what is the utility of the individual? b) What is the first-best outcome for utility of the individual, insurance premium, and profits of the insurance company?Government provided social insurance is most beneficial in the cases where the probability of adverse events is _____ to calculate and the costs of the adverse events are _____. a.hard/low b.easy/high c.easy/low d.hard/high
- Consider a gamble/lottery in which a coin is tossed rapidly until a tail comes up. 2m rupee is given if the tail comes up at the mth toss. Let the individual be risk neutral, having u(x) = x where x is the amount of winning. Find the expected utility from the lottery.Farmer Brown faces a 25% chance of there being a year with prolongeddrought, with zero yields and zero profit, and he faces a 75% chance of a normal year, with good yields and$100,000 profit. These probabilities are well-known. Suppose that an insurance company offered a droughtinsurance policy that pays the farmer $100,000 if a prolonged drought occurs. Assume that the farmer’sutility function is u(c) = ln(c). He has initial wealth of $40,000. What is the economic intuition on why X > Y? Confine your answer to at most three sentences.A producer collects he initial premium for a healih policy and gives he applicant a conditional receipt. In lhis situation lhe policy becomes effective at which of the following limes? A.When he premium is received in lhe insurance company's home office B.When the policy is delivered C.When the conditions of the receipt are met D.When the premium check clears the bank
- Joes initial income is y 10,000. Joe experiences illness with a probability of 20%. Jo's total medical costs associated with the illness are $1000. Joe's expected income without insurance isMoral Hasard and Insurance The utility is U = W1/2 − 350S + 95S1/2 ; where W is wealth and S is care taken to avoid accidents. Probability of accident is 0.70 − S1/2 Wealth is ✩850,000 without accident and ✩300,000 with accident. Calculate S, EU and CE without insurance. Calculate S and EU with full insuranceMicroeconomics 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)