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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.The Utility fct is U = W2/3 + 1000Flood occurs with Probabilities=1/20. The Value of house ✩540,000 if no flood. After aflood, the value is ✩40,000. Cost of insurance is 20 cents per dollar.a. Calculate EUb. Calculate EVc. Calculate CEd. Calculate RPe. Calculate the variance and standard deviationf. How much insurance should you buy? Assume your are paying premium in all event.g. What is the expected profit of the insurance company?h. Calculate the coefficient of absolute risk aversioni. Calculate the coefficient of relative risk aversionConsider Bob's decision problem: Sunny Cloudy Rainy Beach 2 3 2 Park 3 3 2 Mall -1 1 x Suppose the probability of Sunny is 0.25, the probability of Cloudy is 0.25, and the probability of Rainy is 0.5. What is the smallest value of x for which Mall is an expected utility maximiser? Round your answer to one decimal place (e.g. 0.5).
- 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 isAccording to a recent Wall Street Journal article, about 2% of new US car sales are electric vehicles (data from Edison Electric Institute reported by Jinjoo Lee, "Peak Oil? Not This Year. Or This Decade," January 9, 2021 pg. B12). Suppose a company has 111 employees who drive new cars (separately) to work each day. What is the probability that at least one of them will drive an electric car? Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.If patient insurance inquiries arrive at Blue Choice insurance with a mean rate of 3.6 calls per minute, the exponential probability of waiting more than 0.5 minutes to get the next inquiry call is _____. Question 6Select one: a. 0.2407 b. 0.1222 c. 0.5000 d. 0.1653
- 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?Clancy has $4800. He plans to bet on a boxing match betweenSullivan and Flanagan. He finds that he can buy coupons for $6 thatwill pay off $10 each if Sullivan wins. He also finds in another storesome coupons that will pay off $10 if Flanagan wins. The Flanagantickets cost $4 each. Clancy believes that the two fighters each have aprobability of ½ of winning. Clancy is a risk averter who tries tomaximize the expected value of the natural log of his wealth. Whichof the following strategies would maximize his expected utility? (a) Don’t Gamble (b) Buy 400 S tickets and 600 F tickets(c) Buy exactly as many F tickets and S tickets (d) Buy 200 S and 300 F(e) Buy 200 S and 600 FMany decision problems have the following simplestructure. A decision maker has two possible decisions, 1 and 2. If decision 1 is made, a sure cost of c isincurred. If decision 2 is made, there are two possibleoutcomes, with costs c1 and c2 and probabilities p and1 2 p. We assume that c1 , c , c2. The idea is thatdecision 1, the riskless decision, has a moderate cost,whereas decision 2, the risky decision, has a low costc1 or a high cost c2.a. Calculate the expected cost from the riskydecision.b. List as many scenarios as you can think of thathave this structure. (Here’s an example to get youstarted. Think of insurance, where you pay a surepremium to avoid a large possible loss.) For eachof these scenarios, indicate whether you wouldbase your decision on EMV or on expected utility
-  Time remaining: 01 :53 :32 Economics A dealer decides to sell an antique automobile by means of an English auction with a reservation price of $900. There are two bidders. The dealer believes that there are only three possible values, $7,200, $3,600, and $900, that each bidder’s willingness to pay might take. Each bidder has a probability of 1/3 of having each of these willingnesses to pay, and the probabilities for each of the two bidders are independent of the other’s valuation. Assuming that the two bidders bid rationally and do not collude, the dealer’s expected revenue from selling the car is approximately Group of answer choices $3,600. $2,500. $3,900. $5,400. $7,200.Suppose that an individual is just willing to accept a gamble to win or lose $1000 if the probability ofwinning is 0.6. Suppose that the utility gained if the individual wins is 100 utils. What is expected gains/loss.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
