help all is one question Suppose that within a given city, men between the ages of 19 and 29 fall into one of four health categories: very healthy, healthy, unhealthy, and very unhealthy. As a part of the Patient Protection and Affordable Care Act (PPACA), the government mandates that insurance companies must charge the same premium to all people within a given gender, age, and geographic region. The insurance company must determine the premium it should charge to all people in this category so that it can cover the total cost of care. In order to complete your analysis, make the following assumptions: 1. The insurance company does not incur any costs to run or administer the policies, and it does not make any profit. 2. The population is large enough so that expected values hold at the aggregate level. 3. Anyone who pays the monthly premium receives complete coverage of all medical expenses (in other words, everyone is offered full insurance). 4. All citizens are risk averse and therefore are willing to pay a premium above the expected value of their costs, up to the amount indicated in the column "Maximum Willingness to Pay for Insurance in the following table. The following table presents the number of very healthy, healthy, unhealthy, and very unhealthy people, as well as the expected monthly cost of providing care for each category. The table also presents the maximum that an individual is willing to pay within each group, which is higher than the expected cost. This reflects the fact that people are generally risk averse. In the context of health insurance, this means that people prefer to pay some amount for certain each month than to face paying the full costs of somewhat unpredictable care. Complete the following table by computing the total expected monthly cost of care for each type of citizen, the total number of people in this market, and the total expected monthly cost of insuring all citizens. Show Transcribed Text Ć Type of Person Very Healthy Complete the following table by computing the total expected monthly cost of care for each type of citizen, the total number of people in this market, and the total expected monthly cost of insuring all citizens. Healthy Unhealthy Very Unhealthy Number of People 550 300 150 50 Expected Monthly Cost of Care (Dollars per person) 150 550 650 5,000 Ć Maximum Willingness to Pay for Insurance (Dollars per person) 165 633 910 7,500 Total Expected Monthly Cost of Care (Dollars)

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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help all is one question
Suppose that within a given city, men between the ages of 19 and 29 fall into one of four health categories: very healthy, healthy, unhealthy, and very
unhealthy. As a part of the Patient Protection and Affordable Care Act (PPACA), the government mandates that insurance companies must charge the
same premium to all people within a given gender, age, and geographic region. The insurance company must determine the premium it should charge
to all people in this category so that it can cover the total cost of care.
In order to complete your analysis, make the following assumptions:
1. The insurance company does not incur any costs to run or administer the policies, and it does not make any profit.
2. The population is large enough so that expected values hold at the aggregate level.
3. Anyone who pays the monthly premium receives complete coverage of all medical expenses (in other words, everyone is offered full
insurance),
4. All citizens are risk averse and therefore are willing to pay a premium above the expected value of their costs, up to the amount
indicated in the column "Maximum Willingness to Pay for Insurance in the following table.
The following table presents the number of very healthy, healthy, unhealthy, and very unhealthy people, as well as the expected monthly cost of
providing care for each category. The table also presents the maximum that an individual is willing to pay within each group, which is higher than the
expected cost. This reflects the fact that people are generally risk averse. In the context of health insurance, this means that people prefer to pay
some amount for certain each month than to face paying the full costs of somewhat unpredictable care.
Show Transcribed Text
Complete the following table by computing the total expected monthly cost of care for each type of citizen, the total number of people in this market,
and the total expected monthly cost of insuring all citizens.
Type of
Person
3
Very Healthy
Healthy
Unhealthy
Very
Unhealthy
Total
Number of
People
550
300
Complete the following table by computing the total expected monthly cost of care for each type of citizen, the total number of people in this market,
and the total expected monthly cost of insuring all citizens.
150
50
Ć
o
Expected Monthly Cost
of Care
(Dollars per person)
150
550
650
5,000
Type of Person Chooses to Buy Health Insurance?
Very Healthy
Show Transcribed Text
Ć
Maximum Willingness to Pay for
Insurance
(Dollars per person)
165
633
910
7,500
If the insurance company must offer one plan to all men between the ages of 19 and 29, the monthly premium (rounded to the nearest dollar) must
be $
per person in order for the total amount the insurance company collects to be equal to the total amount it expects to pay out.
Suppose the government repeals the mandate, and now it allows people to decide whether they want to buy into the policy.
Total Expected Monthly Cost
of Care
(Dollars)
Complete the following table, assuming that the premium is the one you calculated in the prior question. If a type of person will not purchase
insurance at this premium, enter "0" into the appropriate cell, since the insurance company collects no money from these people.
Amount Insurance Company Collects
(Number of People x Premium)
Transcribed Image Text:help all is one question Suppose that within a given city, men between the ages of 19 and 29 fall into one of four health categories: very healthy, healthy, unhealthy, and very unhealthy. As a part of the Patient Protection and Affordable Care Act (PPACA), the government mandates that insurance companies must charge the same premium to all people within a given gender, age, and geographic region. The insurance company must determine the premium it should charge to all people in this category so that it can cover the total cost of care. In order to complete your analysis, make the following assumptions: 1. The insurance company does not incur any costs to run or administer the policies, and it does not make any profit. 2. The population is large enough so that expected values hold at the aggregate level. 3. Anyone who pays the monthly premium receives complete coverage of all medical expenses (in other words, everyone is offered full insurance), 4. All citizens are risk averse and therefore are willing to pay a premium above the expected value of their costs, up to the amount indicated in the column "Maximum Willingness to Pay for Insurance in the following table. The following table presents the number of very healthy, healthy, unhealthy, and very unhealthy people, as well as the expected monthly cost of providing care for each category. The table also presents the maximum that an individual is willing to pay within each group, which is higher than the expected cost. This reflects the fact that people are generally risk averse. In the context of health insurance, this means that people prefer to pay some amount for certain each month than to face paying the full costs of somewhat unpredictable care. Show Transcribed Text Complete the following table by computing the total expected monthly cost of care for each type of citizen, the total number of people in this market, and the total expected monthly cost of insuring all citizens. Type of Person 3 Very Healthy Healthy Unhealthy Very Unhealthy Total Number of People 550 300 Complete the following table by computing the total expected monthly cost of care for each type of citizen, the total number of people in this market, and the total expected monthly cost of insuring all citizens. 150 50 Ć o Expected Monthly Cost of Care (Dollars per person) 150 550 650 5,000 Type of Person Chooses to Buy Health Insurance? Very Healthy Show Transcribed Text Ć Maximum Willingness to Pay for Insurance (Dollars per person) 165 633 910 7,500 If the insurance company must offer one plan to all men between the ages of 19 and 29, the monthly premium (rounded to the nearest dollar) must be $ per person in order for the total amount the insurance company collects to be equal to the total amount it expects to pay out. Suppose the government repeals the mandate, and now it allows people to decide whether they want to buy into the policy. Total Expected Monthly Cost of Care (Dollars) Complete the following table, assuming that the premium is the one you calculated in the prior question. If a type of person will not purchase insurance at this premium, enter "0" into the appropriate cell, since the insurance company collects no money from these people. Amount Insurance Company Collects (Number of People x Premium)
Complete the following table, assuming that the premium is the one you calculated in the prior question. If a type of person will not purchase
insurance at this premium, enter "0" into the appropriate cell, since the insurance company collects no money from these people.
Type of Person Chooses to Buy Health Insurance?
Very Healthy
Healthy
Unhealthy
Very Unhealthy
Once consumers are given a choice of whether to buy into the premium, the insurance company will collect a total of S
premiums, and it will pay out an expected total of S
to cover the expenses of all those who buy the policy.
Amount Insurance Company Collects
(Number of People x Premium)
Very Unhealthy
Very Healthy
Healthy
Unhealthy
per
Based on the groups that still want to buy insurance at the original premium, the insurance company would need to collect S
person to cover the expected total cost per person. If the insurance company raises the premium to this price, which of the following groups would stip
be willing to buy health insurance? Check all that apply.
Show Transcribed Text
Without a government mandate to purchase insurance, as premiums rise, the healthy people are likely to stop purchasing insurance. This causes
the insurance company to face
expected costs per person, thus forcing it to
premiums in order to break even. The cycle.
in monthly
3
Ć
Without a government mandate to purchase insurance, as premiums rise, the healthy people are likely to stop purchasing insurance. This causes
the insurance company to face
expected costs per person, thus forcing it to
premiums in order to break even. The cycle
continues until only the healthy remain to purchase insurance. This phenomenon is known as a death spiral.
Transcribed Image Text:Complete the following table, assuming that the premium is the one you calculated in the prior question. If a type of person will not purchase insurance at this premium, enter "0" into the appropriate cell, since the insurance company collects no money from these people. Type of Person Chooses to Buy Health Insurance? Very Healthy Healthy Unhealthy Very Unhealthy Once consumers are given a choice of whether to buy into the premium, the insurance company will collect a total of S premiums, and it will pay out an expected total of S to cover the expenses of all those who buy the policy. Amount Insurance Company Collects (Number of People x Premium) Very Unhealthy Very Healthy Healthy Unhealthy per Based on the groups that still want to buy insurance at the original premium, the insurance company would need to collect S person to cover the expected total cost per person. If the insurance company raises the premium to this price, which of the following groups would stip be willing to buy health insurance? Check all that apply. Show Transcribed Text Without a government mandate to purchase insurance, as premiums rise, the healthy people are likely to stop purchasing insurance. This causes the insurance company to face expected costs per person, thus forcing it to premiums in order to break even. The cycle. in monthly 3 Ć Without a government mandate to purchase insurance, as premiums rise, the healthy people are likely to stop purchasing insurance. This causes the insurance company to face expected costs per person, thus forcing it to premiums in order to break even. The cycle continues until only the healthy remain to purchase insurance. This phenomenon is known as a death spiral.
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