This paper analyzes and compares the macroeconomic performance of defined-benefit and defined-contribution pay-as-you-go pension systems when population ages. When the fertility rate decreases or longevity rises, it is shown that a shift from defined benefit (defined total benefit or defined annuities) to defined contribution always results in higher per-capita income and life-cycle welfare at the steady state. All results are derived with general production and utility functions.
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