... effects and, 3–4; insurance, 82 (see also insurance); low returns and, 35; medical prices and, 54; no late transactions and, 138–40; partial annuitization and, 33–34; replacement rates and, 2–3; ... uncertainty and, 77–80; individual savings and, 98–100; life cycle model and, 21–26; period-certain annuities and, 7; refundable annuities and, 144–49; risk class and, 56–66, 70; steady-state age ... refundable annuities and, 144–49; risk class and, 67–76 after-tax retirement annuities (ATRA), 81n25 age, 6; coefficient of relative risk aversion and, 29; consumption and, 12–14; life expectancy and, ...