The Expected Value of Insurance - Why You Should Still Buy It Despite a 30-40% Payout Rate

5 min read

60-70% of Your Premium Never Becomes a Claim

A life insurance premium is made up of three components.

Net premium (roughly 30-40%). The portion that actually funds claim payouts. It is calculated from statistical data such as mortality rates and hospitalization rates.

Loading premium (roughly 50-60%). The insurer's operating expenses: salaries for sales agents, advertising, office rent, and IT systems. Japan's life insurance industry employs around 230,000 sales agents nationwide, and their compensation accounts for a large share of this loading.

Profit (roughly 5-10%). The insurer's margin.

In concrete terms, if you pay 10,000 yen per month in premiums, only 3,000-4,000 yen goes toward funding claims. The remaining 6,000-7,000 yen covers the insurer's costs and profit. Compared with the lottery's 46% payout rate, insurance's "return rate" is even lower.

Mathematically, insurance is a negative-expected-value bet. So why does it exist, and why do so many people buy it? Search "亜鉛サプリ" on Amazon

Insurance Is Not About Expected Value - It Is About Risk Transfer

Evaluating insurance by expected value alone is actually a mistake. The real purpose of insurance is to convert a "low-probability but catastrophic loss" into a "certain but small expense (the premium)."

Consider this example. A 30-year-old man has roughly a 5% chance of dying before age 60. If he buys a term life policy with a 30-million-yen death benefit at 3,000 yen per month, his total outlay over 30 years is 1.08 million yen. The expected value of the payout is 30 million yen times 5%, or 1.5 million yen. On expected value alone, the policy looks like a "win," but that calculation ignores the loading premium the insurer adds on top.

The point, however, is not expected value. Compare "a 5% chance that your family loses 30 million yen" with "a guaranteed outlay of 3,000 yen per month." Which scenario is more devastating to a household budget? The answer is obvious.

Insurance is a product that buys peace of mind, not profit. As we discussed in the real cost of extended warranties, the scale of risk is fundamentally different. A broken appliance will not ruin your life, but losing the primary breadwinner can bankrupt a family.

Insurance You Need vs. Insurance You Can Skip

The guiding principle is simple: insure only against "low-probability, high-damage" risks. Paying premiums to cover losses you can absorb out of pocket is a losing proposition in expected-value terms.

Insurance worth buying. Auto liability insurance: a single accident can generate tens of millions of yen in damages. Fire insurance: a total loss of your home means a multi-million-yen hit. Life insurance (if you have dependents): losing the household's income stream is an existential threat. These are losses you cannot recover from on your own.

Insurance you can skip. Smartphone insurance (a few hundred yen per month): repair costs top out at tens of thousands of yen, well within savings range. Pet insurance: treatment costs have a visible ceiling. Cancer insurance (if you have substantial savings): Japan's high-cost medical care system caps out-of-pocket expenses at roughly 80,000-90,000 yen per month.

The decision rule is straightforward. "If this loss occurred, could I cover it from savings?" If yes, skip the insurance. If no, buy it. Just like the math behind discounts, the key is to decide with numbers, not emotions.

Browse referral codes for popular services

Four Ways to Lower Your Premiums

Once you have identified the insurance you need, the next step is minimizing what you pay for it.

1. Choose an online insurer. Policies sold face-to-face bundle the agent's commission into the premium. Online insurers (such as Lifenet and SBI Life) cut that cost, offering the same coverage for 20-40% less.

2. Right-size your coverage. Instead of defaulting to a 50-million-yen death benefit, calculate the actual need: your family's living expenses, the remaining mortgage balance, and your children's education costs. Set the benefit to the minimum required. Excess coverage is wasted premium.

3. Review regularly. Once your children are financially independent, reduce the death benefit. After paying off the mortgage, drop the corresponding coverage. Adjusting your policy as life circumstances change eliminates premiums you no longer need. Think of it as auditing your subscriptions applied to insurance.

4. Understand public benefits. Japan's social safety net is generous. Survivor's pension, the high-cost medical care system, and sickness and injury allowances already cover a significant portion of risk. There is no need to duplicate that coverage with a private policy.

Was this helpful?