Understanding the Core Question
A 60‑year‑old considers a $1,000 life insurance policy that costs $80 in premiums. The key to deciding whether this purchase makes sense is comparing the expected payout, which depends on the probability of death before the policy expires, to the $80 outlay.
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Calculating Expected Benefit
The expected monetary benefit equals the policy's face amount multiplied by the probability of a claim occurring. If p represents the probability that the insured dies while the policy is in force, the expected benefit (EB) is:
EB = $1,000 × p
Without a specific probability, we can illustrate several realistic scenarios based on actuarial tables for a 60‑year‑old.
Typical Mortality Probabilities for a 60‑Year‑Old
Actuarial life tables suggest the following approximate one‑year death probabilities for a healthy 60‑year‑old in the United States:
- Low‑risk (good health): 0.005 (0.5%)
- Average risk: 0.010 (1.0%)
- High‑risk (significant health issues): 0.020 (2.0%)
These figures are annual; if the policy is term‑only for one year, they apply directly. For longer terms, probabilities accumulate.
Expected Benefit vs. Premium Cost
Using the probabilities above:
| Risk Category | Death Probability (p) | Expected Benefit (EB) | Net Expected Value (EB – $80) |
|---|---|---|---|
| Low‑risk | 0.005 | $5 | ‑$75 |
| Average risk | 0.010 | $10 | ‑$70 |
| High‑risk | 0.020 | $20 | ‑$60 |
In each scenario, the expected payout falls far short of the $80 premium, yielding a negative net expected value.
When Might the Policy Be Worthwhile?
The policy becomes financially attractive only if the death probability exceeds 8% (since $1,000 × 0.08 = $80). Such a probability is atypical for a 60‑year‑old unless there are terminal conditions or very short policy terms (e.g., a 30‑day term). In those rare cases, the policy could serve as a modest "final expense" cover.
Additional Considerations
Policy Type: If the $80 is a single‑payment, whole‑life policy with cash value, the analysis changes because the policy also accumulates savings value over time.
Alternative Coverage: Many insurers offer $10,000 or $25,000 term policies for similar or slightly higher premiums, providing better cost‑to‑benefit ratios.
Health Disclosure: Understating health issues can lead to claim denial, nullifying any expected benefit.
Bottom Line
For a typical 60‑year‑old with average health, a $1,000 policy costing $80 has an expected return far below the premium, making it a poor financial choice. Only unusually high mortality risk or special circumstances could justify the purchase.