Government debt and economic growth in an overlapping generations model

Prior studies have shown that an increase in government debt raises the real interest rate and lowers the rate of economic growth. In an overlapping generations model of endogenous growth, this paper shows that an increase in government debt may not increase the real interest rate with the real interest rate being greater than the growth and that an introduction of government debt will increase the growth rate of per capita output if the growth rate is greater than the real interest rate and will decrease the growth rate if the growth rate is less than the real interest rate.