“…Moreover, we assume that there is perfect competition among the annuity companies and that they cannot monitor whether consumers buy annuities from other insurance companies, which seems to be a reasonable assumption frequently made for the annuity market (see e.g. Pauly 1974, Abel 1986, Brugiavini 1993, Walliser 2000. It follows that in equilibrium for each type of contract only one price, that is one payout q 1 , q 2 , r 2 , resp., per unit of annuity, can exist for each period t = 1,2.…”