Ra. Pecchenino et Ps. Pollard, THE EFFECTS OF ANNUITIES, BEQUESTS, AND AGING IN AN OVERLAPPING GENERATIONS MODEL OF ENDOGENOUS GROWTH, Economic journal, 107(440), 1997, pp. 26-46
We examine the effects of introducing actuarially fair annuity markers
into an overlapping generations model of endogenous growth. The compl
ete annuitisation of agents' wealth is not, in general, dynamically op
timal; the degree of annuitisation that is dynamically optimal depends
nonmonotonically on the expected length of retirement and on the pay-
as-you-go social security tax rate. The government has an incentive to
restrict the availability of actuarially fair annuities contracts, an
d can often move the economy from a pay-as-you-go to a fully-funded so
cial security system via voluntary contributions to a government spons
ored, actuarially fair pension today accompanied by reductions in soci
al security taxes tomorrow.