5. Suppose that when Michael is healthy he does not demand any doctor's visits. When he is sick his demand function for physician visits is summarized by the demand curve Q = 10-PD/10 where Q is the quantity of visits and PD is the demand price of a visit. Assume that doctor's visits are the only type of medical care Michael uses, and this illness is the only risk facing him. Michaels probability of becoming sick is 8 =.5 a) How many visits will Michael consume when sick if he has no insurance and the price of a visit is $50? How much does he spend on medical care when sick? b) What is Michael's expected spending on physician visits when he has no insurance? c) Explain whether an insurance company will be able to make a profit by offering full insurance coverage for all physician visits and charging a premium of $125. d) How many visits will Michael consume when he has full insurance when sick, so that the demand price is zero? If the supply price of a visit remains at $50, what is the total cost to the insurer when Michael is sick? What is the actuarially fair premium for the insurance company to offer Michael?

EBK HEALTH ECONOMICS AND POLICY
7th Edition
ISBN:9781337668279
Author:Henderson
Publisher:Henderson
Chapter12: Medicare
Section: Chapter Questions
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5. Suppose that when Michael is healthy he does not demand any doctor's visits. When he is sick his demand
function for physician visits is summarized by the demand curve
visits and PD is the demand price of a visit. Assume that doctor's visits are the only type of medical care
Q = 10 – PP/10 where Q is the quantity of
Michael uses, and this illness is the only risk facing him. Michaels probability of becoming sick is 6 =.5
a) How many visits will Michael consume when sick if he has no insurance and the price of a visit is
$50? How much does he spend on medical care when sick?
b) What is Michael's expected spending on physician visits when he has no insurance?
c) Explain whether an insurance company will be able to make a profit by offering full insurance
coverage for all physician visits and charging a premium of $125.
d) How many visits will Michael consume when he has full insurance when sick, so that the
demand price is zero? If the supply price of a visit remains at $50, what is the total cost to the
insurer when Michael is sick? What is the actuarially fair premium for the insurance company
to offer Michael?
Transcribed Image Text:5. Suppose that when Michael is healthy he does not demand any doctor's visits. When he is sick his demand function for physician visits is summarized by the demand curve visits and PD is the demand price of a visit. Assume that doctor's visits are the only type of medical care Q = 10 – PP/10 where Q is the quantity of Michael uses, and this illness is the only risk facing him. Michaels probability of becoming sick is 6 =.5 a) How many visits will Michael consume when sick if he has no insurance and the price of a visit is $50? How much does he spend on medical care when sick? b) What is Michael's expected spending on physician visits when he has no insurance? c) Explain whether an insurance company will be able to make a profit by offering full insurance coverage for all physician visits and charging a premium of $125. d) How many visits will Michael consume when he has full insurance when sick, so that the demand price is zero? If the supply price of a visit remains at $50, what is the total cost to the insurer when Michael is sick? What is the actuarially fair premium for the insurance company to offer Michael?
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