The Budget Deficit, Public Debt, and Endogenous Growth

This paper analyzes the effects of public debt on endogenous growth in an overlapping generations model. The government fixes the budget deficit ratio. If the deficit ratio stays below a critical level, then there are two steady states where capital, output, and public debt grow at the same constant rate. An increase in the deficit ratio reduces the growth rate. If the deficit ratio exceeds the critical level, then there is no steady state. Capital growth declines continuously, and capital is driven down to zero in finite time.