Risk Card Value | Probability Sick | |
---|---|---|
1 | 1/6 | = 17% |
2 | 1/3 | = 33% |
3 | 1/2 | = 50% |
4 | 2/3 | = 67% |
5 | 5/6 | = 83% |
6 | 1 | = 100% |
Foundations of Health Delivery - 2022-2023
This exercise is designed to simulate the experience of designing and purchasing health insurance.
Some of you will play the role of insurers (2 people / insurer; 6 insurers total)
The rest will be “customers” who are deciding whether to buy insurance, and which insurance plan to buy.
Risk Card Value | Probability Sick | |
---|---|---|
1 | 1/6 | = 17% |
2 | 1/3 | = 33% |
3 | 1/2 | = 50% |
4 | 2/3 | = 67% |
5 | 5/6 | = 83% |
6 | 1 | = 100% |
Customers figure out their ending “wealth” by either subtracting your premium (if you purchased insurance) or your medical expenses (if you went uninsured).
Insurers figure out their total incurred claims (sum of all medical expenditures incurred among insured members) and whether they make a profit or go insolvent.
I receive a health risk card with a 4.
I have a 67% probability of incurring $5,000 in medical expenses.
Risk Card Value | Probability Sick | |
---|---|---|
1 | 1/6 | = 17% |
2 | 1/3 | = 33% |
3 | 1/2 | = 50% |
4 | 2/3 | = 67% |
5 | 5/6 | = 83% |
6 | 1 | = 100% |
I decide to purchase the policy.
Dr. Graves rolls a 3 for the round.
I incur $5,000 in medical expenses because the dice number (3) is less than or equal to my risk value (4).
Because I bought insurance, my end-of-year wealth is $7,000 ($10,000 - $3,000).
Note that the roll of the dice is irrelevant to me because I bought insurance.
I decide NOT to purchase the policy.
Dr. Graves rolls a 3.
I incur $5,000 in medical expenses because the dice number (3) is less than or equal to my risk value (4).
Because I am uninsured, my end-of-year wealth is $5,000 ($10,000 - $5,000).
I offer a fixed $3,000 premium policy to all-comers.
I enroll 10 policyholders, so my “reserves” are $30,000 ($3,000 * 10)
Patient ID | Risk Score | Premium | Incurred Claims |
---|---|---|---|
1 | 2 | $3,000 | |
2 | 5 | $3,000 | |
3 | 2 | $3,000 | |
4 | 3 | $3,000 | |
5 | 6 | $3,000 | |
6 | 4 | $3,000 | |
7 | 3 | $3,000 | |
8 | 4 | $3,000 | |
9 | 4 | $3,000 | |
10 | 2 | $3,000 |
Patient ID | Risk Score | Premium | Dice Value | Incurred Claims | |
---|---|---|---|---|---|
1 | 2 | $3,000 | 3 | $0 | |
2 | 5 | $3,000 | 3 | $5,000 | |
3 | 2 | $3,000 | 3 | $0 | |
4 | 3 | $3,000 | 3 | $5,000 | |
5 | 6 | $3,000 | 3 | $5,000 | |
6 | 4 | $3,000 | 3 | $5,000 | |
7 | 3 | $3,000 | 3 | $5,000 | |
8 | 4 | $3,000 | 3 | $5,000 | |
9 | 4 | $3,000 | 3 | $5,000 | |
10 | 2 | $3,000 | 3 | $0 | |
Total | — | — | 30,000.00 | — | 35,000.00 |
Description | Information | Pricing | Other |
---|---|---|---|
Risk Rating, Perfect Information | Customers MUST show risk cards to insurers |
Description | Information | Pricing | Other |
---|---|---|---|
Risk Rating, Perfect Information | Customers MUST show risk cards to insurers | Insurers can charge ANY price to any customer. |
Description | Information | Pricing | Other |
---|---|---|---|
Risk Rating, Perfect Information | Customers MUST show risk cards to insurers | Insurers can charge ANY price to any customer. | Customers can choose NOT to purchase insurance. |
Insurers can deny coverage (pre-existing condition exclusion). |
Risk Score | Probability Sick | Actuarily Fair Premium |
---|---|---|
1 | 1/6 | $833 |
2 | 1/3 | $1,667 |
3 | 1/2 | $2,500 |
4 | 2/3 | $3,333 |
5 | 5/6 | $4,167 |
6 | 1 | $5,000 |
How many with a risk score of 6 bought insurance?
How many with a risk score of 1 bought insurance?
Did you buy a policy with a premium > the actuarily fair premium?
Description | Information | Pricing | Other |
---|---|---|---|
Risk Rating, Asymmetric Information | Customers do NOT have to show risk cards, but can choose to. | Insurers can charge ANY price to any customer. | Customers can choose NOT to purchase insurance |
Insurers can deny coverage (pre-existing condition exclusion) |
Risk Score | Probability Sick | Actuarily Fair Premium |
---|---|---|
1 | 1/6 | $833 |
2 | 1/3 | $1,667 |
3 | 1/2 | $2,500 |
4 | 2/3 | $3,333 |
5 | 5/6 | $4,167 |
6 | 1 | $5,000 |
How many with a risk score of 6 bought insurance?
How many with a risk score of 1 bought insurance?
Description | Information | Pricing | Other |
---|---|---|---|
Risk Rating, Asymmetric Information | Customers must make an insurance decision BEFORE receiving their risk card. | Insurers can charge ANY price to any customer. | Customers can choose NOT to purchase insurance |
Insurers can deny coverage (pre-existing condition exclusion) |
Description | Information | Pricing | Other |
---|---|---|---|
Community Rating, Perfect Information | Customers MUST show risk cards to insurers. | Insurers charge the same price to all customers. | Customers can choose NOT to purchase insurance |
Insurers can deny coverage (pre-existing condition exclusion) |
Description | Information | Pricing | Other |
---|---|---|---|
Community Rating, Perfect Information, Guaranteed Issue | Customers MUST show risk cards to insurers. | Insurers charge the same price to all customers. | Customers can choose NOT to purchase insurance |
Insurers CAN NOT deny coverage. |