This paper offers a critical analysis of the arguments against the public pensions system. It shows that the defense of the fully funded system based on its solvency and its ability to automatically cope with the processes of aging society are mere fallacies. In fact, it can be shown that the pay-as-you-go and fully funded systems are equivalent, facing the same problems in the long term. Finally, projections of conventional indicators show that the cries of alarm of Fedesarrollo and BBVA have no solid foundation.