Cohort-mean effect of extending lifespan for a covered subset of deaths above a cutoff age, anchored to the U.S. Social Security Administration 2022 Period Life Table (2025 Trustees Report).
| Survival to cutoff, S(a) | 0.98891 |
|---|---|
| Coverage | 0.910 |
| Beneficiary share of cohort | 0.8999 |
| Cohort-mean shift | +7.109 |
This applies the gain as a uniform additive shift to each beneficiary's age at death. That is generous at advanced ages, where competing mortality is severe (male q₉₅ ≈ 0.28); a mechanistically faithful estimate would instead modify the age-specific mortality rates qₓ (e.g., via a cause-specific hazard ratio) and re-derive the table, yielding a smaller, age-localized gain. The figure above is valid if the stated gain already represents a net, competing-risk-adjusted per-person extension.
| Exact age | Male lₓ | Female lₓ | Blended S(a) |
|---|