1.1 Risk, Hazards, Perils, and the Law of Large Numbers
Key Takeaways
- Risk is uncertainty about loss; only pure risk (loss or no loss) is insurable, not speculative risk.
- A peril is the cause of loss; a hazard is a condition that increases the chance or severity of that loss.
- The three hazard types are physical, moral (dishonesty), and morale (carelessness).
- The law of large numbers lets insurers predict aggregate losses accurately as the pool of similar exposures grows.
- An insurable risk must be due to chance, definite and measurable, predictable, noncatastrophic, and economically feasible.
What Risk Is
Risk is uncertainty about whether a financial loss will occur. Insurance exists to manage this uncertainty by transferring it to a company that can absorb it. Every exam question on this topic turns on one distinction: which risks an insurer will actually accept.
The testable split is pure risk versus speculative risk. Pure risk has only two outcomes — loss or no loss — with no chance of gain. Speculative risk adds a third outcome: profit. Only pure risk is insurable.
| Risk type | Possible outcomes | Insurable? | Life & Health example |
|---|---|---|---|
| Pure risk | Loss or no loss | Yes | Premature death, disability, sickness |
| Speculative risk | Loss, no loss, or gain | No | Buying stock, opening a business |
Why refuse speculative risk? Insuring a chance to profit would turn the policy into a wager, defeating the social purpose of restoring people after misfortune. If a question asks which risk is insurable, the answer is pure risk every time.
Perils Versus Hazards
Students lose points by confusing perils and hazards. A peril is the direct, immediate cause of a loss — the event that does the damage. A hazard is a condition that makes a peril more likely to happen or more severe when it does.
Think of the chain: a hazard raises the odds, the peril strikes, and a loss results. In life and health, common perils are death, sickness, and accidental injury.
Hazards come in three flavors, and the exam loves to test the moral/morale pair:
| Hazard | Definition | Example |
|---|---|---|
| Physical | A tangible bodily or environmental condition | High blood pressure, obesity, a hazardous occupation |
| Moral | Dishonesty or a character defect; intentional deception | Lying about tobacco use to get a lower rate |
| Morale | Indifference or carelessness because coverage exists | Skipping checkups since health insurance pays |
Memory hook: Moral ties to morality (right vs. wrong, intentional), while morale ties to attitude (a careless, indifferent mood). An applicant who deliberately hides a cancer diagnosis presents a moral hazard; one who stops exercising because the policy will cover treatment presents a morale hazard.
An applicant deliberately omits a recent heart attack from the application to obtain a standard rate. This conduct is best classified as which type of hazard?
The Law of Large Numbers
The law of large numbers is the statistical engine behind every premium. It states that as the number of similar, independent exposure units grows, actual results move closer to expected (predicted) results. A handful of insureds produces wild, unpredictable swings; millions of insureds produce highly stable forecasts.
This is why insurers want large pools of similar risks. Life insurers rely on mortality tables built from millions of deaths to estimate how many insureds of a given age will die in a year.
Worked example — pooling and predictability
Suppose 100,000 people each face a 0.2% (0.002) annual chance of a $250,000 death benefit being paid.
- Expected deaths: 100,000 × 0.002 = 200 claims
- Expected payout: 200 × $250,000 = $50,000,000
- Pure premium per insured: $50,000,000 ÷ 100,000 = $500 (before expenses, profit, and reserves)
With only 1,000 insureds the expected count is just 2 deaths, and a single extra claim doubles the loss — too volatile to price safely. At 100,000 insureds the percentage swing around 200 is small, so the $500 pure premium is reliable. That stability is exactly what the law of large numbers buys.
Elements of an Insurable Risk
Not every pure risk can be insured profitably. To be commercially insurable, a risk must satisfy these criteria, which examiners often test as an "all of the following EXCEPT" question.
- Due to chance — the loss must be accidental, outside the insured's control (prevents intentional losses).
- Definite and measurable — the loss must be verifiable as to time, place, and dollar amount.
- Statistically predictable — enough similar exposures must exist for the law of large numbers to work.
- Not catastrophic — a single event must not bankrupt the pool by hitting many insureds at once.
- Economically feasible — the premium must be small relative to the potential loss.
Notice what is NOT on the list: a guaranteed profit for the insurer. Insurance always involves a possibility of loss to the company. A risk such as a flood or war is hard to insure privately because it is catastrophic — it violates the noncatastrophic element by affecting countless insureds simultaneously.
A quick trap: a loss the insured can cause at will (intentional) fails the "due to chance" test and is therefore not insurable, which is why suicide is excluded during a policy's early years.
A private insurer declines to write standalone flood coverage on coastal homes. Which element of an insurable risk does flood most clearly violate?
The Three Types of Hazard
A hazard increases the chance or severity of a loss. The exam tests three categories:
| Hazard | Definition | Example |
|---|---|---|
| Physical | A tangible condition | Icy steps; smoking |
| Moral | Dishonesty/character tending toward loss | Faking a claim; arson for profit |
| Morale | Carelessness from having insurance | Leaving a car unlocked because it is insured |
Distinguish moral (intentional dishonesty) from morale (indifference/carelessness). A peril is the actual cause of loss (fire, illness, death); a hazard merely makes a peril more likely or worse.
A person leaves their doors unlocked because they figure insurance will cover any theft. This attitude is an example of a:
Pure vs. Speculative Risk and Risk Management
Insurance handles only pure risk the chance of loss or no loss, with no possibility of gain (death, illness, fire). Speculative risk (gambling, investing) includes a chance of gain and is not insurable.
The methods of handling risk (the exam mnemonic STARR):
- Sharing spreading risk among a group
- Transfer shifting risk to an insurer (the basis of insurance)
- Avoidance not engaging in the risky activity
- Retention keeping the risk (deductibles, self-insurance)
- Reduction lowering frequency/severity (sprinklers, wellness)
Exam Tip: Only pure risk is insurable. Insurance is risk transfer; a deductible is risk retention by the insured.