Foundations of Risk & the Actuarial Profession

insurable risk

Not everything you worry about can be insured. You can buy fire insurance, but you cannot buy insurance against your favourite team losing, against a sure thing, or against a disaster so vast it would bankrupt any insurer. The question of which risks an insurer can sensibly take on — and which it cannot — comes down to a short checklist that the risk has to pass. Risks that pass are called insurable; those that fail are left to other tools, or to luck.

An insurable risk is generally one that meets several conditions at once. The loss should be due to chance, not deliberate (you cannot insure a fire you set). There must be a large number of similar, independent exposures so pooling and the law of large numbers can work. The loss must be definite and measurable — clear in time, place, cause, and amount — so a fair claim can be settled. The premium must be economically feasible: the chance of loss low enough that the cost stays affordable (insuring a near-certain loss just returns your money minus expenses). And the risk should not be catastrophically correlated — an event that strikes everyone in the pool at once, like a single earthquake levelling a whole city, defeats the averaging insurers rely on.

These requirements quietly shape the whole insurance market and the actuary's daily judgement: they explain why floods and pandemics are hard to insure privately, why insurers demand many homogeneous policyholders, and why fraud control and clear policy wording matter so much. The honest nuance is that 'insurable' is not black-and-white. Clever design — deductibles, limits, reinsurance, government backstops, and catastrophe bonds — can stretch the boundary, letting markets cover risks (like earthquakes or terrorism) that a naive single insurer never could.

House fire passes the checklist: accidental, measurable, low-probability, with millions of independent homes to pool. A single mega-earthquake fails the 'not catastrophically correlated' test, because it can damage every insured home in a region at once — which is why such cover often needs reinsurance or government support.

A risk is insurable when it is accidental, measurable, poolable, affordable, and not all-at-once correlated.

'Insurable' is a matter of degree, not a fixed wall. Tools like deductibles, limits, reinsurance, and government backstops can make borderline risks insurable that a single insurer alone could not safely cover.

Also called
requirements of an insurable riskinsurability可保性可承保的风险