Question 2 A person has a wealth of $20,000 but faces an accident that results in a loss ofS12,000 with probability, p. Suppose that Bermoulli utility is given by u(x) = -1/x.1. Determine the maximum amount of money the person is willing to pay forcomplete coverage (as a function of p).2. Now suppose that an insurance company offers an insurance contract with adeductible of $2,000. Again, determine the maximum amount of money aperson is willing to pay for this insurance contract.

Bernoulli utility is a type of utility function that shows a risk taking behavior of an individual…

Answered: Question 2 A person has a wealth of…

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 the equilibrium price for good quality used cars is $20,000. And the equilibrium price for poor quality used cars is $10,000. Assume a potential used car buyer has imperfect information as to the condition of any given used car. Assume this potential buyer believes the probability a given used car is good quality is .60 and the probability a given used car is low quality is .40. Assume the seller has perfect information on all cars in inventory. How does the informational imbalance result in market failure? a. Only good quality cars are sold, hence the market under-provides used cars. b. Both poor and good quality cars are sold, hence the market over-provides used cars. c. Only poor quality cars are sold, hence the market under-provides used cars. d. Both poor and good quality cars are sold, hence the market efficiently provides used cars.
Consider a health insurance market. The market has many insurers so that each insurance company offers insurance at the fair insurance premium. Each consumer has utility function, and has an initial wealth of $200. Consumers have access to a (magical) gym that reduces their probability of needing to go to the doctor from 90% to 10%. A gym membership costs $6. A trip to the doctor costs $120. Suppose insurance companies charge the fair insurance premium which assumes all consumers go to the gym. This fair insurance premium is $? and the insurance company makes a profit of $? per consumer. Suppose insurance companies continue to charge the fair insurance premium that assumes all consumers go to the gym, but now charges a copay of $15 for a doctor's visit. The insurance company now makes a profit of $ per consumer. By implementing a copay, the insurance company the problem.
Please don't provide handwritten solution...
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
Exercise 5: Insurance Consider two individuals, Dave and Eva. Both Dave and Eva have initial wealth 810,000 and face a 40% chance of losing L = 450, 000. Dave has von Neumann-Morgenstern utility function up(x) = x and Eva has von Neumann-Morgenstern utility function ug (x) = VT. 1. What do you know about Dave's and Eva's risk preferences? 2. What is the most Dave would be willing to pay for complete insurance against the loss? 3. What is the most Eva would be willing to pay for complete insurance against the loss? Suppose they are each able choose insurance with any coverage level z [0, 1] (i.e. 0 0. 6. Is Eva's optimal choice full insurance, i.e. z = 1?
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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?
1. ) Suppose a driver has a 6% of having one accident a year. In case of an accident the value of the car is reduced from $25,000 to $5,000. If driver buys an insurance policy the insurance company would completely cover damage to the car (essentially restoring its value to its initial level). Assume that the driver's utility function is U = VW. a) If price of the insurance policy (premium) is $1500, would this driver be willing to purchase the policy? Explain Show you computations b) What would be the maximum price a driver with 10% chance of accident be willing to pay for the insurance policy?

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