This paper constructs an endogenous growth model with productive government spending. In this model, the government can finance its costs through income tax and government debt and has a target level of government debt relative to the size of the economy. We show that there are two steady states. One is associated with high growth and the other with low growth. It is also shown that whether the government uses income taxes or government bonds makes the results differ significantly. In particular, an increase in government bonds reduces the growth rate in the high-growth steady state and raises the growth rate in the low-growth steady state. Conversely, an increase in the income tax rate reduces the growth rate in the low-growth steady state and there exists some tax rate that maximizes the growth rate in the high-growth steady state. Finally, the level of welfare in the low-growth steady state is lower than that in the high-growth steady state.
We extend the Barro (1990) model of endogenous growth to a two-sector one which consists of pure consumption and investment goods. It is possible that the extended version has a unique balanced growth rate such that for given initial values of state variables, (i) the extended model economy grows at the unique rate right from the beginning or (ii) it has a continuum of equilibrium paths whose growth rates commonly converge to the balanced growth rate. That is, unlike the original one-sector model, it has transitional dynamics in case (ii). We also show that the effects of small changes in some parameters on the balanced growth rate and the price of the consumption good in terms of the investment good are opposite between (i) and (ii).
Constructing a two-sector small open endogenous growth model with productive government spending, this paper examines patterns of specialization and the growth effects of fiscal policy. It is shown in this model that a change in income tax rate can cause a change in an equilibrium pattern of specialization. Because of this property, the relationship between the tax rate and the growth rate yields either a humped shape or a two-humped shape, depending on world commodity prices. We also show that the growth maximizing tax rate is not necessarily equal to the tax rate that maximizes the level of social welfare.