Economic growth and stability with public PAYG pensions and private intra-family old-age insurance

This paper compares the steady-state and dynamic outcomes of two historical alternatives as a means of old-age insurance, namely, voluntary intra-family transfers from young to old members versus pay-as-you-go public pensions, in a general equilibrium overlapping generations model with children as a desirable good. We show that the shift from a private system of old-age support to public pensions increases the gross domestic product (GDP) per worker. Moreover, although in both cases the steady-state stock of capital, under myopic expectations, may be (globally) unstable depending on the size of the intergenerational transfer, we show that the existence of public pensions rather than private intra-family gifts considerably reduces the possibility of cyclical instability.