microeconomics help please 24. Consider adverse selection in the car insurance market. Drivers are either risky or safe. The insurance companies cannot distinguish between the two types of drivers, but they know that 50% of all drivers are risky. Insuring a risky driver costs $3,000, while insuring a safe driver costs $1,000. The benefits of insurance is $4,000 for a risky driver and $1,500 for a safe driver. If insurers cannot observe the type of buyer they are insuring, what is the minimum equilibrium price of insurance? a. $1,000 b. $1,500 c. $2,000 d. $3,000 e. $4,000

microeconomics help please 24. Consider adverse selection in the car insurance market. Drivers are either risky or safe. The insurance companies cannot distinguish between the two types of drivers, but they know that 50% of all drivers are risky. Insuring a risky driver costs $3,000, while insuring a safe driver costs $1,000. The benefits of insurance is $4,000 for a risky driver and $1,500 for a safe driver. If insurers cannot observe the type of buyer they are insuring, what is the minimum equilibrium price of insurance? a. $1,000 b. $1,500 c. $2,000 d. $3,000 e. $4,000

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter7: Uncertainty

Section: Chapter Questions

Problem 7.4P

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Can you answer these three parts please? I am super confused. Thank you :) Part A. Austin pays $10,500 per year to an insurance company in return for its promise to pay part of his family's medical bills. Austin must pay the first $1,000 on his own before the insurance kicks in. The $1,000 is Austin's: a. risk b. deductible c. premium d. expected utility Part B: Suppose Austin earns $100,000 if he is healthy, and _____ if he falls ill. Suppose further that he has a __% chance of falling ill. If Austin were to purchase full insurance, the payout would be equal to $20,000. The actuarially fair premium for this payout would be equal to $400. a. $80,000; 2% b. $120,000; 2% c. $80,000; 0.4% d. $100,000; 20% e. $120,000; 0.4% Part c: suppose Austin (who is now your employer) offers a new health insurance benefit that covers orthodontics (things like braces, invisaline) for employees and their family members. Suppose further that you are aware…
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?
Please answer both parts I do not understand. Thank you :) Part A: Suppose that there is a 20% chance Malik is injured and earns $100,000, and an 80% chance he stays healthy and will earn $500,000. Suppose further that his utility function is the following (utility = square root of income) Malik's expected income is _____. $550,000 $365,000 $400,000 $420,000 $500,000 Part B: Suppose that there is a 20% chance Malik is injured and earns $100,000, and an 80% chance he stays healthy and will earn $500,000. Suppose further that his utility function is the following (utility = square root of income) Malik's utility from his expected income is ____. Malik's expected utility of income is _____. 628.9; 648.1 604.2; 562.1 648.1; 628.9 562.1; 604.2
Scenario 2 Tess and Lex earn $40,000 per year and all earnings are spent on consumption (c). Tess and Lex both have the utility function (sqrt c) . Both could experience an adverse event that results in earnings of $0 per year. Tess has a 1% chance of experiencing an adverse event and Lex has a 12% chance of experiencing an adverse event. Tess and Lex are both aware of their risk of an adverse event. Refer to Scenario 2 Suppose that insurance companies do not know specific probabilities of adverse events for Tess or Lex, but do know the average probability of an adverse event. If they assumed that both Tess and Lex purchase full insurance, what is the actuarially fair premium charged? Round to two decimal places
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)
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?
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) Now suppose that the insurance company raises premiums to p = 0.2 so that they are no longer actuarially fair. Find Abigail’s expected wealth E[W ] and expected utility E[u(W )]. b) How much insurance should Abigail buy now?
Suppose a consumer has S100 today and he tells you he is willing to wait X amount of time for another $50. The same consumer also tells you that in the future if he has $10 he ts willng to wait Y amount of time for another $50.If Y is greater than X, does the individual exhibit hyperbolic discounting, exponential discounting, or is there not enough information to determine? Briely explain your answer.
2. “A risk-averse individual will always full insure, meaning that uncertainty is irrelevant.” Discuss this comment using relevant model(s) studied in the unit.
Suppose that there is a 20% chance Malik is injured and earns $100,000, and an 80% chance he stays healthy and will earn $500,000. Suppose further that his utility function is the following (utility = square root of income) Malik is risk ____. He will prefer ____ (given the same expected income). a. lover; actuarially fair and full insurance to no insurance b. averse; no insurance to actuarially fair and full insurance c. neutral; he will be indifferent between actuarially fair and full insurance to no insurance d. lover; no insurance to actuarially fair and full insurance e. averse; actuarially fair and full insurance to no insurance
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?
Scenario 2 Tess and Lex earn $40,000 per year and all earnings are spent on consumption (c). Tess and Lex both have the utility function (sqrt c) . Both could experience an adverse event that results in earnings of $0 per year. Tess has a 1% chance of experiencing an adverse event and Lex has a 12% chance of experiencing an adverse event. Tess and Lex are both aware of their risk of an adverse event. Refer to Scenario 2 If an insurance company knows the probability of Tess experiencing an adverse event, what is the actuarially fair premium charged to Tess per $1 of benefit? Round to two decimal places