Why does an insurer not give everyone the same price: what is adverse selection and how does it push the premium up?
If a low-risk customer drops the policy because "the price is too high", the average risk of those who remain rises, and the premium goes up again. This is called adverse selection. Using four groups of teahouses, the chain is calculated step by step: why an insurer sets prices by risk group and how you can make use of this.
Sanobar opa runs the "Kaftar" teahouse. Before the New Year she asked the insurer for the price of a property policy and was upset by the answer: "In our teahouse the electrical wiring was completely replaced at the start of the year, and nobody has the habit of leaving a lamp on. The neighbouring teahouse has 20-year-old wiring, so why do we pay the same?" The question is precise: why does an insurer not set the same price for everyone, and what happens if it does?
In economics the answer is called adverse selection. Below we calculate it step by step on a hypothetical example. The example was composed by the author, and the figures belong neither to any tariff nor to real statistics.
What is adverse selection?
When an insurance contract is made, the two sides do not know the same things. The teahouse owner knows more than the insurer about their wiring, hearth and staff. The insurer cannot see the true risk of every customer who comes in. With information this unequal, the people who need a policy most are exactly those with high risk. A low-risk customer considers the price too high and leaves, and the average risk of those who remain rises.
This term does not mean fraud. Even if a person does not lie, they know their own risk and decide by the price. The idea was analysed in the well-known 1970 paper by the economist George Akerlof; insurance is mentioned in it as one of the examples (see the list of sources).
Example: four groups, one price
Suppose there are 100 teahouses in each of four neighbourhoods, 400 in total. The event (a fire) happens at most once a year, and each time the loss is 80 mln soum. The groups differ in the probability of the event during the year:
| Group | Number of teahouses | Annual probability of the event | Expected loss, mln soum | Owner's willingness-to-pay limit, mln soum |
|---|---|---|---|---|
| 1 | 100 | 2% | 1.60 | 2.40 |
| 2 | 100 | 4% | 3.20 | 4.80 |
| 3 | 100 | 6% | 4.80 | 7.20 |
| 4 | 100 | 10% | 8.00 | 12.00 |
Expected loss = probability × 80 mln soum. The willingness-to-pay limit is a hypothetical assumption: each owner agrees to pay up to 1.5 times their expected loss, and if it costs more, they do not take the policy. In reality this limit differs for each person (loan conditions, caution, financial capacity). The figure was chosen for simplicity.
The insurer cannot tell the groups apart and sets the same price for all customers. The price is such that payouts equal losses: the average expected loss. Additional costs and a profit margin are not taken into account here.
How does the chain work?
At each step the insurer uses the average expected loss of the remaining customers as the price, and customers stay or leave according to their limit.
| Step | Groups in the policy | Number of policies | Average price, mln soum | Who leaves |
|---|---|---|---|---|
| 1 | 1, 2, 3, 4 | 400 | 4.40 | group 1 (limit 2.40) |
| 2 | 2, 3, 4 | 300 | 5.33 | group 2 (limit 4.80) |
| 3 | 3, 4 | 200 | 6.40 | nobody, the process stops |
Calculation: at step 1, (1.6 + 3.2 + 4.8 + 8.0) / 4 = 4.40. At step 2, (3.2 + 4.8 + 8.0) / 3 ≈ 5.33. At step 3, (4.8 + 8.0) / 2 = 6.40 mln soum. For the first group the price is 2.75 times more expensive than its own risk, so it left.
Result: the single price eventually rose from 4.40 to 6.40 mln soum, and of 400 policies 200 remained. The best customers left, and those who remained became high-risk. The insurer lost, and so did those who left. The group 1 teahouses, with a probability of only 2%, were left unprotected, and group 2 also left after one step.
Why does "let everyone pay the same" not work, even though it seems fair?
A single price looks simple and fair at first. But 4.40 mln soum in the example is nearly three times too much for group 1, and almost half price for group 4 (4.40 compared with 8.00). Group 4 is exactly the one that takes the cheap policy first: it is advantageous for them. Group 1, seeing the price, gives up the policy or goes uninsured and bears the risk itself. As a result policies pile up where the risk is strong and are absent altogether where the risk is low.
So it is more accurate to regard the price difference across risk groups not as the insurer's whim but as a mechanism that keeps the market alive. If the groups in the example are separated, everyone takes a policy: not 200 instead of 400, but all 400. In return, the high-risk group pays the price of its own risk.
How does the insurer respond?
In most cases the insurer takes one route: it divides the price by risk group. For this the customer is asked questions: age of the building, condition of the wiring, type of hearth and so on. If the groups in the example are identified correctly, each pays its own price: group 1 pays 1.60 mln, group 4 pays 8.00 mln soum (without a margin). Then nobody leaves because of the price: this is a logical assumption, while in reality the insurer adds a margin and never separates the groups perfectly.
Other tools are also aimed at the same problem; they are covered in separate articles: - A deductible (franchise) leaves part of the loss with the customer. - Bonus-malus gives a discount for loss-free years.
These are methods used by the insurer: which insurer applies which one depends on the contract and tariff conditions, so read the policy.
What does this give you?
Two practical conclusions follow.
- Answering correctly is in your interest. Answer the questionnaire fully and accurately. What is recorded and how incorrect information affects the contract is stated in the policy and the documents applied: it is not confirmed in this article, so read and clarify.
- Reducing your risk has a price. In the example Sanobar opa replaced the wiring. If the insurer takes such information into account when assigning the group, her price may move from group 2 to group 1: 1.60 mln soum instead of 4.80. This is not a guarantee: you need to ask the insurer.
Practical advice
- Prepare the information before comparing prices. Age of the building, wiring, fire-fighting equipment, inspection documents: if everything is written down, the insurer will put you in the right group.
- Ask "why this price?" Ask precisely which factors raised the price and which might lower it. Get the answer in writing.
- Do not assume the cheapest policy is safe. A low price sometimes means less cover or a large deductible. Use the table in the deductible article for comparison.
- Expense accounting is separate. The accounting of the premium paid for a policy is in the article "How is property insurance recorded in the accounts". This article gives no journal entries, because it is about the logic of price, not accounting.
- The example shows only the logic. The real tariff, probability and margin depend on the insurer's documents, so do not take any figure as a real price.
Test yourself
5 questions on this topic: pick an option or reveal the answer.
The base annual premium for car insurance is 2,400,000 soum. The contract grants a 5% discount on the base premium for each claim-free year, and discounts are added together (not compounded, a hypothetical condition). The customer went 3 years in a row without claims. What will the premium be for the fourth year?
An insurer insured an object with a sum insured of 200 mln soum and kept 50 mln soum as its own retention under this contract, ceding the rest to a reinsurer under a surplus treaty. Under the treaty, both the loss and the premium are shared between the insurer and the reinsurer in proportion to their shares of the sum insured (hypothetical terms). A loss of 40 mln soum occurred on the object. How much does the reinsurer pay?
An insurance company wrote total insurance premiums of 400 mln soum during the year (under contracts), of which 90 mln soum was ceded to reinsurers. What is the retention ratio ((written premium − premium ceded to reinsurance) / written premium)?
A printing house insured its equipment worth 60 000 000 soum for 7 months. The annual rate is 2% of the sum insured, and the premium for a short term is calculated in proportion to the number of months (a contract condition). What is the insurance premium?
According to the insurer's statistics, the probability that one such rural house is completely destroyed by fire within a year is 0.003. The house is insured for 80 000 000 soum. Taking into account only this risk and only total loss, and without adding the insurer's expenses and profit, what is the expected loss (risk part of the net premium = probability × sum insured)?
Answered: 0 / 50 of 5 correct
All tests →See also
- Insurance section
- Insurance rate
- Insurance premium
- Deductible (franchise)
- Conditional and unconditional deductible (franchise): how much is the insurance payout reduced?
- Bonus-malus: when does claiming insurance for a small loss cost more than the future premium?
- How is property insurance recorded in the accounts: from the annual premium to the insurance payout
Sources
- George A. Akerlof. The Market for «Lemons»: Quality Uncertainty and the Market Mechanism. Quarterly Journal of Economics, 1970, vol. 84, no. 3, pp. 488–500 · how information asymmetry affects a market; the paper also treats insurance as an example. Record of the paper: https://econpapers.repec.org/RePEc:oup:qjecon:v:84:y:1970:i:3:p:488-500. Announcement by the Royal Swedish Academy of Sciences on the 2001 Nobel Prize (theory of information asymmetry): https://kva.se/en/news/ekonomipriset-2001-2
- Example: groups of teahouses, probability of loss, loss amount and customers' willingness to pay · prepared by the author, hypothetical; calculations checked by the author. Specific rules on insurance contracts, rates and disclosure duties are not confirmed in this article