joint-and-survivor annuity

Picture a retired couple living on one pension. If the pension stops the moment the worker dies, the surviving spouse could be left with little to live on for years. A joint-and-survivor annuity solves this: it pays income for as long as either of two people is alive, so the survivor keeps receiving money after the first death.

Typically you choose what fraction continues to the survivor. A '100% joint-and-survivor' annuity pays the full amount until the second death; a '50% survivor' annuity drops the income to half once the first person dies, on the reasonable logic that one person needs less than two. Because the insurer is now insuring two lives — it pays until the last one dies, which on average is longer — the starting income is lower than a single-life annuity on either person alone. For example, a single-life annuity might pay 1,200 a month, while a 100% joint-and-survivor version on the same couple might pay 980.

Actuaries price this using a last-survivor status: payments continue while at least one of the two is alive, valued as a_x + a_y minus a_xy (the joint-life annuity that pays only while both are alive). Joint-and-survivor forms are central to pension law — many systems require married members to take this form unless the spouse formally consents otherwise, precisely to protect surviving spouses. The honest caveat: a 100% survivor option costs the most up front (lowest starting income), so couples must weigh more income now against guaranteed protection for the one who lives longer.