Capital Accumulation in an Economy with Dynasties and Uncertain Lifetimes

This paper studies how the lack of an annuities market affects savings behavior and intergenerational transfers in a dynastic overlapping generations economy. I find that the answer to this question depends crucially on altruism. On the one hand, if the altruistic bequest motive is operative, then the lack of annuity markets enhances capital accumulation. On the other hand, if the altruistic bequest motive is not operative, the absence of annuity markets can either increase or decrease aggregate savings. I characterize under which conditions capital accumulation is enhanced. I also prove that an overlapping generations economy with altruism and uninsurable lifetime risk faces capital overaccumulation relative to the modified Golden Rule. The efficient allocation corresponding to the modified Golden Rule can be decentralized as a competitive equilibrium by a pay-as-you-go social security system, and this can only be done if individuals are altruistic.