This paper investigates income transfers between dynastic families caused by a public pension system. Using Japanese data, we present simulation results based on a model in which intergenerational altruism works, and income distribution exists between and within generations. The growth rates of income and population, as well as the formulation for the determination of the contribution rate and the payment rate, are crucial to determine both the qualitative and quantitative effects. Especially, under negative income growth over generations, pay-as-you-go public pensions can cause negative income redistribution.