... determinants of mortality. Cambridge, MA: National Bureau of Economic Research, WorkingPaper 1 196 3, January.Davidoff, T., J. R. Brown, and P. A. Diamond. 2005. Annuities and individualwelfare. ... fullannuitization and, 23–24; generalequilibrium effect and, 1 19; incomeuncertainty and, 77–80; life cycle model and, 21–26; long-term annuities and, 62–66; moral hazard and, 51–55;optimum commodity taxation ... worth of, 10; moral hazard and, 51–55, 79 80;no-arbitrage condition and, 5, 24–25,60–62, 70–71; optimum taxation of, 125–28; options and, xv, 9; partialannuitization and, 33–35; payout terms and, ...