The observation that few Americans purchase life annuities has often been a
ttributed to adverse selection. A still unanswered question is whether obse
rvable price increases caused by adverse selection can be generated endogen
ously in a life cycle model. This paper calibrates a pure life cycle model
for a characteristic US cohort and reproduces three stylized facts. Adverse
selection increases annuity prices by 7-10 percent; the cost of adverse se
lection rises with the age of the annuitant; and the cost is smaller for fe
males than for males. Social security privatization could reduce annuity pr
ices by between 2 and 3 percent.