A person's utility function is U = C1/2 . C is the amount of consumption they have in a given period. Their income is $40,000/year and there is a 2% chance that they'll be involved in a catastrophic accident that will cost them $30,000 next year. a. Calculate the actuarially fair insurance premium. What would your expected utility be if you were to purchase the actuarially fair insurance premium?
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A person's utility function is U = C1/2 . C is the amount of consumption they have in a given period. Their income is $40,000/year and there is a 2% chance that they'll be involved in a catastrophic accident that will cost them $30,000 next year.
a. Calculate the actuarially fair insurance premium. What would your expected utility be if you were to purchase the actuarially fair insurance premium?
b. What is the most you would be willing to pay for insurance, given your utility function?
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- Assume that the probability of having an accident in a year is 0.08. Suppose that your yearly income is 50,000 TRY and in case of an accident your income drops to 15,000 TRY. Your utility function is U(?) = ln (?) where C is consumption. a) What is your expected utility at the end of the year without insurance?b) Calculate an actuarially fair insurance premium for the full insurance. c) What would your expected utility be if you purchase a full insurance with actuarially fair premium? Will you buy this insurance, why or why not?Tess and Lex earn $40,000 per year and all earnings are spent on consumption (c). Tess and Lex both have the utility function 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. 1. Suppose the actuarially fair premium charge is 2600, Calculate Tess’ expected utility with full insurance if she is charged the premium. Round to two decimal places. 2. What is the premium that private insurance companies will charge for full insurance? Round to two decimal places. 3.Assume the social welfare function is the sum of the Tess’ and Lex’s utility functions. Select the correct statement regarding the explanation for what has happened in the private market and the role of social insurance. a.Adverse section has lead to market failure. The government could improve social welfare by…Assume that your utility has a natural log function U(W)=ln(W), which is a concave function. Your car is worth $10,000 and your total wealth is $20,000 including the car. There is a 5% chance that a major accident occurs and you have a total loss of $10,000; a 10% chance that a minor accident occurs and you have a loss of $500; 85% chance you will not have any accident. Given these assumptions, how much are you willing to pay for an insurance that provides full coverage against car accidents? Thank you. Regards, Jim Carroll
- 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 placesSuppose 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 insuranceSuppose that consumers have utility function U(C) = log(C) where C is the consumption level and log is the natural logarithm. Consumers have initial consumptionlevels of 100 and are exposed to the following risk of loss: lose 10 with probability0.4 and lose 5 with probability 0.6. They are considering buying insurance to coverthese losses. What is the fair price for the insurance?
- Indicate whether the statement is true or false, and justify your answer.There are no possible utility functions in which a person is indifferent between actuarially fair, full insurance and actuarially fair, partial insurance.could you answer part b to this question or if you have time part a and part b but part is more important. thank you 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?Show, using equations or a diagram, that an expected utility maximizer requires a higher return for a riskier asset
- 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…Dr. Gambles has a utility function given as U(w)=In(w). Due to the pandemic affecting his consulting business, Dr Gambles faces the prospect of having his wealth reduced to £2 or £75,000 or £100,000 with probabilities of 0.15, 0.25, and 0.60, respectively. Suppose insurance is available that will protect his wealth from this risk. How much would he be willing to pay for such insurance?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