Consider an insurance company offer a "standard contract" with the premium r= $100 and payout q=$500to anyone who will purchase it.Peter has healthy-state income IH $500 and sick-state income Is $0.He has probability of illness p=0.1. Is the standard contract fair and/or full for Peter? If he ends up gettingsick, what will his final income be? (please show all your calculations)

Fair price of insurance is said to be that value which is equal to the all expected losses , or…

Answered: Consider an insurance company offer a…

Principles of Economics 2e

2nd Edition

ISBN:9781947172364

Author:Steven A. Greenlaw; David Shapiro

Publisher:Steven A. Greenlaw; David Shapiro

Chapter16: Information, Risk, And Insurance

Section: Chapter Questions

Problem 11RQ: What is an actuarially fair insurance policy?

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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.
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NO CHATGPT. In the US, private health insurance is usually purchased by groups rather than individuals. For example, most people are insured through their employer or their spouse’s employer. Which type of distortion does the insurance company need to worry about with individuals purchasing insurance versus groups? Why is group insurance preferable for the employer? Why is this preferable for the individual?
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ease use utility of wealth function in the booK, 8-1 (see below). Certainty Utility B D 200 198 194 D' Total utility 170 of wealth C' Expected Utility A 140 10,000 15,000 19,000 20,000 Wealth FIGURE 8-1 Total Utility of Wealth and the Impact of Insurance Please explain the difference between the certainty utility line and the expected utility line b. Calculate your E(U), given an 80% change of being healthy and 20% of being sick, knowing that your income falls to $10,000 and your utility is 140 if you get sick. Calculate your E(W), given an 80% change of being healthy and 20% of being sick. d. Given that your Certainty Utility Function is U = 200Y-0.00154 and Y is your income, what is your Certainty Utility with insurance (if you are risk averse) What insurance premium will you pay to guarantee a utility of 197? Please provide a calculation.
H applied for a individual major medical policy. When H filed a claim within the first year of coverage and the underwriter noticed that the H's age on the claim form was different than what was listed on the application. The insurer will take which of the following actions regarding H's claim? A: Deny the claim and refund premiums B: Deny the claim, cancel the policy and keep all premiums C: Pay the claim in full and keep the policy as is D: Adjust the claim benefit amount to the insured's correct age
Now consider a different insurance company that does not have the inclination to tailor contracts specifically to individuals. Instead, it will offer a “standard contract” with the premium r =$100 and payout q=$500 to anyone who will purchase it. a. Peter has healthy-state income IH = $500 and sick-state income IS = $0. He has probability of illness p=0.1. Is the standard contract fair and/or full for Peter? If he ends up getting sick, what will his final income be? b. Tim has IH = $500 and IS = $0, but a probability of illness p = 0.2, higher than Peter’s. Is the standard contract fair and/or full for Tim? How does purchasing the standard contract affect Tim’s expected income?c. Jay has IH =$1, 000 and IS =$0, with probability of illness p=0.2. Is the standard contract fair and/or full for Jay?d. Suppose there is a customer named Ronald for whom the standard contract is partial and actuarially unfair in the insurance company’s favor. Give a set of possible values for Ronald’s IH, IS,…
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Here is what occurs in the following scenario: Bill has an income of $50,000 and has a probability of remaining healthy of 70%. If he is not healthy, Bill has the following projected medical costs that would be paid 100% by insurance: medications = $400, medical office visits = $1,600. What is the actuarially fair health insurance premium Bill should pay? a. $120 b. $480 c. $600 d. $1,400 e. $15,000

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