How Does Insurance Work? Pooling Risk So That Nobody Is Ruined
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A house fire is a disaster for the family it happens to and a statistic for a country: about one home in every few hundred burns each year, with a regularity an actuary can plan around. Insurance is the arrangement that connects the two. Everyone pays a small amount into a pool, the few who suffer the loss are paid from it, and the certainty of a small cost replaces the possibility of a ruinous one. The idea is older than banking, and its mathematics is what allows people to own things they could not afford to lose.
The law of large numbers
Nobody knows whose house will burn, but the number that will burn in a population of a million is predictable to within a few percent, because random events average out as the sample grows. That is the law of large numbers, proved by Jacob Bernoulli around 1700, and it is what makes insurance possible. An insurer collecting premiums from a million households can estimate its total claims closely enough to set a price that covers them, adds a margin for expenses and profit, and is still a small fraction of any one house's value. The individual's uncertainty has been converted into the insurer's near-certainty, and the difference is what the insurer sells.
The premium each person pays is, in principle, the expected loss: the probability of the event multiplied by its cost, plus a loading. A house worth 300,000 with a one in five hundred chance of burning has an expected annual fire loss of 600, and a premium near that figure. The work of an insurer is largely the work of estimating those probabilities, which is the profession of the actuary, and of pricing each customer close to their own risk so that the careful are not made to subsidise the careless.
Why the pool can fail
The arithmetic depends on conditions that do not always hold, and each failure has a name:
- •Adverse selection: if customers know their own risk better than the insurer, the high-risk ones buy and the low-risk ones do not, premiums rise to match, more low-risk customers leave, and the pool unravels; this is why insurers ask so many questions and why some cover is compulsory
- •Moral hazard: a person who is insured takes less care, since the loss falls on the pool; excesses, no-claims bonuses and exclusions exist to keep some of the loss with the insured
- •Correlated risk: the law of large numbers needs losses to be independent, and a hurricane, an earthquake or a pandemic hits everyone in the pool at once, which is why such risks are shared with reinsurers and, in the last resort, governments
- •Fraud: a claim for a loss that did not happen, which the industry estimates at several percent of all payouts and prices into everyone's premium
Where it came from
Merchants in Babylon four thousand years ago paid lenders an extra sum on a loan in exchange for cancelling the debt if the cargo was lost at sea, which is insurance under another name, and Roman burial clubs collected dues to pay for members' funerals. The modern industry has two birthplaces in London. Marine insurance grew up in the 1680s in Edward Lloyd's coffee house, where shipowners met the wealthy individuals who would underwrite a voyage by signing their names beneath the risk on a slip of paper, and Lloyd's still works on that principle. Fire insurance followed the Great Fire of 1666, which destroyed 13,000 houses and made the risk impossible to ignore, and life insurance became a science when Edmond Halley, of the comet, published the first proper mortality table in 1693.
The kinds
Almost any risk can be insured if it is uncertain, measurable and not under the control of the insured. Life insurance pays a sum on death and is priced from mortality tables; health insurance pays for treatment and, where it is private, faces the sharpest adverse selection of all, since the sick most want to buy it; motor insurance is compulsory nearly everywhere because the loss falls on third parties; and property, liability, travel, pet, crop and professional insurance follow the same logic. Governments run the largest pools of all: state pensions, unemployment benefit and public health systems are insurance funded by compulsory contributions, which solves adverse selection by making everyone join. Reinsurance, insurance for insurers, spreads the largest risks across the world, and a hurricane in Florida is paid for partly in Zurich and Munich.
What it is for
The purpose is not to make money on average, and a policyholder who never claims has not wasted the premium any more than someone who buys a lock and is never burgled. The purpose is to remove the possibility of ruin, and the rule for what to insure follows: cover the losses that would be catastrophic, such as a house, a liability or the loss of an income, and carry the small ones yourself, since the loading on a premium means insurance always costs more than the expected loss. A society in which risk can be pooled is one in which people can take out mortgages, start businesses, ship goods and drive cars, and the quiet, mathematical trade in probabilities is a larger part of why modern economies work than its reputation suggests.
The float, and where the profit comes from
An insurer collects premiums at the start of a policy and pays claims later, sometimes years later in injury or liability cases that take time to settle. In the meantime it holds a large pool of other people's money, known as the float, and invests it, mostly in bonds. That gives insurers two ways to make money: underwriting, meaning premiums exceed claims and running costs, and investment income on the float. When interest rates are high, an insurer can lose a little on underwriting and still make a profit overall.
The industry measures underwriting with a figure called the combined ratio: claims plus expenses divided by premiums. Below 100 percent the insurance business itself made money; above it, the company paid out more than it took in and is relying on its investments. Suppose an insurer takes 100 million in premiums, pays 70 million in claims and spends 25 million on running costs. Its combined ratio is 95 percent, a five percent underwriting profit before any investment returns. A single year with several major storms can push the ratio well above 100.
Underinsurance and the right to insure
A common surprise for policyholders is the average clause in property insurance. Suppose a house would cost 300,000 to rebuild, but the owner insures it for only 200,000 to keep the premium down. A kitchen fire then causes 30,000 of damage, well within the sum insured. Under an average clause the insurer pays only in proportion to the cover bought: two thirds of the loss, or 20,000. The reasoning is that the owner paid a premium for two thirds of the risk. The practical lesson is to insure for the full rebuilding cost, which is not the same as the market price.
Another rule is that you can only insure something you stand to lose by, known as insurable interest. You can insure your own house or your own life, but not a stranger's. The rule exists because in eighteenth-century England people took out policies on the lives of public figures and others they had no connection with, which turned insurance into gambling and gave holders a motive to wish for, or hasten, a death. Parliament's Life Assurance Act of 1774 required an insurable interest, and the principle runs through insurance law today.
How insurers ended up making the world safer
An insurer's profit grows when fewer claims arrive, so the industry has long paid to prevent the losses it covers. After London's Great Fire, the new fire insurance offices fixed metal badges called fire marks to the buildings they insured and ran their own fire brigades. A popular story says those brigades let uninsured houses burn; in practice they generally tackled any fire they reached, since flames spread easily to their own customers' property. In 1833 the companies' brigades merged into a single London force, the forerunner of the public fire brigade the city took over in the 1860s.
The same logic shaped modern safety testing. In 1894, in the early years of electric lighting, fire insurers backed a new laboratory in Chicago to test electrical equipment for fire risk, and Underwriters Laboratories, whose UL mark appears on countless plugs and appliances, grew from it. In the United States, car insurers fund an institute that crash-tests new models and publishes the results, pushing manufacturers to improve. The same incentive shows up on a small scale in your own policy: a discount for a fitted burglar alarm or a car kept in a garage is the insurer paying you to make its expected losses smaller.
Insurance that pays out on a number
Ordinary insurance pays what you actually lost, which means sending an assessor, gathering receipts and agreeing a figure, a process that can take months after a disaster. Parametric insurance skips all that. The policy names a measurable trigger in advance, such as wind speed at a particular spot, an earthquake's strength within a certain distance, or rainfall below a set level over a growing season, and pays a fixed sum automatically if the trigger is met. Because the numbers come from independent sources such as weather stations, seismometers or satellites, there is little to dispute, and money can arrive within days or weeks.
Governments and farmers in poorer countries have been among the main users. Caribbean governments pooled their risk in 2007 in a facility that pays out after hurricanes and earthquakes, and it paid Haiti within weeks of the 2010 earthquake, when cash for emergency relief mattered most. Herders in parts of East Africa can buy cover tied to satellite measurements of pasture, which pays out during a drought before their animals start to die. The trade-off is called basis risk: the trigger may be met when your own loss is small, or missed when your loss is severe, because the index measures a whole area, not your particular field or roof.
The takeaway
Insurance pools the risks of many people so that the predictable total of their losses, guaranteed by the law of large numbers, can be paid from premiums that are each a small fraction of any one loss. Premiums are priced from the probability and size of the loss; the pool fails through adverse selection, moral hazard, correlated disasters and fraud, which the industry's rules exist to control; and its purpose is not profit for the insured but the removal of ruin.