Curiosity

Financial literacy · Insurance · Lesson 2 of 8

Why insurance matters

The maths of rare but ruinous events.

9 minute read

Most bad things that could happen to your money are small: a cracked phone screen, a parking fine, a lost jacket. Annoying, survivable. But a few possible events are so expensive that no ordinary savings account could absorb them. Insurance exists for that second category, and knowing the difference is the key to using it well.

Ruinous versus annoying

Picture a driver on $600 a week who causes a crash that writes off a luxury car. The repair bill could be $80,000 or more, and the law says the driver at fault pays. Without insurance, that one second of inattention becomes a debt that follows them for a decade. Now picture the same driver cracking their own headlight: $250, painful but fine. The first event is ruinous. The second is annoying. Only one of them truly needs insurance.

Why the average does not matter

Here is the strange part of insurance maths. On average, insurance customers pay more in premiums than they receive in claims. They have to, or insurers could not exist. So on pure averages, insurance looks like a losing bet. It is still worth having, because you do not live an average. You live one single life, and in that one life, a ruinous event either happens or it does not. Insurance is not about beating the average. It is about making sure the worst version of your life is still liveable.

This flips the logic most people use. The question is never how likely is it. The question is could I recover if it happened. A one in a thousand chance of losing $200 can be ignored. A one in a thousand chance of owing $80,000 cannot.

It helps to see the two numbers side by side. Suppose there is a one in five hundred chance in a year that you cause a crash costing you $80,000, illustrative figures. Multiply the chance by the cost and the average yearly cost of that risk is $160, which is roughly the sort of money the cover might sensibly ask for. On average you come out close to level, or a little behind once the insurer takes its cut, and that is why insurance looks like a poor bet on paper. But averages are built from many lives, and you are living one. In four hundred and ninety nine of those lives you pay the $160 and nothing happens, and in the five hundredth you avoid an $80,000 hole. The $160 is not the price of an average outcome. It is the price of never having to face the five hundredth on your own.

The it will not happen to me trap

The most expensive belief in insurance is a quiet one: that serious accidents happen to other people. It feels true, because most days nothing goes wrong, and a run of safe days can look like proof. But safety yesterday changes nothing about today, in the same way that a coin landing heads five times in a row does not make the sixth toss any less likely to be heads. The people who owe a stranger $80,000 after a car park mistake all felt safe the morning it happened. Insurance is the tool for exactly the event you are sure will not happen to you, because that is the one you have made no other plan for.

The cost of being wrong

The mistake young Australians make most is not buying bad insurance. It is carrying enormous risks without noticing, most often driving with no cover for the damage they might do to other cars. CTP covers the people they might injure, but not the vehicles, and the gap between those two things can be a house deposit.

This is the idea the whole topic turns on, so it is worth holding onto as the other lessons build. The last lesson takes it further and lays every risk in your life onto a simple grid you can draw on one page, sorting the ruinous from the merely annoying so you know which ones to hand to an insurer and which to carry yourself.

Check your understanding

7 questions. Pick an answer for each, then check.

  1. 1. According to this lesson, the right question to ask about a risk is

  2. 2. On average, insurance customers pay more in premiums than they get back in claims. This means

  3. 3. Which of these is a ruinous risk rather than an annoying one for a student on a casual wage?

  4. 4. CTP insurance covers

  5. 5. The biggest insurance mistake young Australians make is

  6. 6. In the illustrative example, a one in five hundred chance of an $80,000 loss has an average yearly cost of about

  7. 7. Why is believing that serious accidents only happen to other people so expensive?