Public debt in a basic endogenous growth model

We work out the mechanism that makes public debt affect the allocation of resources in the long-run. To do so we analyze an AK growth model with elastic labor supply and a government sector. The government levies a distortionary income tax and issues bonds to finance lump-sum transfers and non-distortionary public spending. We show that the long-run growth rate is the smaller the higher the debt ratio if the government adjusts public spending to fulfill its inter-temporal budget constraint. If the government adjusts lump-sum transfers the public debt ratio does not affect the balanced growth rate.     

Public Debt,Productive Public Spending and Endogenous Growth

We analyse the effects of public debt in a basic endogenous growth model with productive public spending. We demonstrate that a discretionary policy in general violates the intertemporal government budget constraint along a balanced growth path. A balanced government budget gives a unique saddle point stable growth path. With a rule‐based policy, two saddle point stable balanced growth paths can occur, depending on the intertemporal elasticity of substitution of consumption and on the primary surplus policy. Higher debt goes along with smaller long‐run growth and we derive a condition such that a deficit‐financed increase in public spending raises the growth rate.     

Economic Growth,Public Debt and Welfare: Comparing Three Budgetary Rules

Abstract. We present an endogenous growth model with externalities of capital and elastic labor supply where we allow for public debt and welfare‐enhancing public spending. We analyze different debt policies as regards convergence to a balanced growth path and their effects on long‐run growth and welfare. Three budgetary rules are considered: the balanced budget rule, a budgetary rule where debt grows in the long run but at a rate lower than the balanced growth rate and a rule where public debt grows at the same rate as all other economic variables but where it guarantees that the intertemporal budget constraint is fulfilled.     

Public capital,deficit financing,and economic growth in a stochastic economy

This paper examines the relationship among deficit-financing fiscal policy, risk and economic growth in a stochastic endogenous growth model with private and public capital. We show that there are positive balanced-growth rate and a debt-to-GDP ratio that depend on deep parameters such as the income tax rate and the standard deviation of the growth rate of private and public capital. Investment and fiscal shocks influence the mean and variance of the growth rate and the debt dependency rate through portfolio changes and capital accumulation. In particular, an increase in the risk of private investment destabilizes the economy and reduces the mean growth rate if the portfolio change is drastic, and this increase in risk increases the debt-to-GDP ratio. In contrast, an increase in the income tax rate stabilizes the economy, increases the mean growth rate, and has a positive or negative effect on the debt-to-GDP ratio according to the ratio of public to private capital if the income tax rate is sufficiently small.     

Public debt and welfare in a quantitative Schumpeterian growth model with incomplete markets

This paper quantifies the welfare effects of counterfactual public debt policies using an endogenous growth model with incomplete markets. The economy features public debt, Schumpeterian growth, infinitely-lived agents, uninsurable income risk, and discount factor heterogeneity. Two versions of the model are specified, one with households holding equity in the group of innovating firms. The model is calibrated to the U.S. economy to match the degree of wealth inequality, the share of R&D expenditure in GDP, the firms’ exit rate, the average growth rate, and other standard long-run targets. When comparing balanced growth paths, I find large welfare gains in equilibria characterized by governments accumulating public wealth. The result is robust to the mechanism used to generate a highly concentrated wealth (i.e., preference heterogeneity or “superstar” income shocks). Welfare effects decompositions show that level effects and growth effects reinforce each other. The responses of both the intermediate goods and their market conditions are key in explaining the large level effects. The version of the model without equity is computationally easier to solve, allowing to consider transitional dynamics. Taking into account the dynamic adjustment to the new long-run equilibrium, I show that the transitional welfare costs are not large enough to change the sign of the welfare effects stemming from a change in public debt. I find that eliminating public debt would lead to a 0.8% increase in welfare, while moving to a debt/GDP ratio of 100% would entail a welfare loss of 0.5%. A decomposition analysis shows that growth accounts for approximately 50% of the overall welfare effects.     

Keynes,Employment Policy and the Question of Public Debt

This article provides a simple formalization of income–expenditure equilibrium in accordance with the Principle of Effective Demand, but augmented to explicitly incorporate public debt. This is utilized to explore the conditions required for simultaneous achievement of full-employment growth and a sustainable public debt trajectory—the latter understood as stabilization of the ratio of public debt to aggregate income, at some desired level. In the spirit of Keynes's economics, demand-led, full-employment growth, driven by government spending, is reconciled with public debt sustainability so understood. The policy implications, illustrative of Keynes's policy views, are then drawn out.     

Government spending and growth in second-best economies

This paper extends public spending-based growth theory along three directions: we assume a logistic trajectory for the ratio of government expenditure to aggregate income, self-limiting population change, and exogenous technological progress. By focusing on the choices of a benevolent social planner we find that, if the inverse of the intertemporal elasticity of substitution in consumption is sufficiently high, the ratio of consumption to private physical capital converges towards zero when time goes to infinity. Depending on the form of the underlying aggregate production function and on whether, for given production function, technological progress equals zero or a positive constant, our model may or may not yield an asymptotically balanced growth path (ABGP) equilibrium. When there is no exogenous technological progress, an equilibrium where population size, the ratio of government spending to aggregate income and the ratio of consumption to private physical capital are all constant does exist and the equilibrium is a saddle point. In case of positive technological progress numerical simulations show that the model still exhibits an ABGP equilibrium.     

Debt ceiling and fiscal sustainability in Brazil: A quantile autoregression approach

In this paper we investigate fiscal sustainability by using a quantile autoregression (QAR) model. We propose a novel methodology to separate periods of nonstationarity from stationary ones, allowing us to identify various trajectories of public debt that are compatible with fiscal sustainability. We use such trajectories to construct a debt ceiling, that is, the largest value of public debt that does not jeopardize long-run fiscal sustainability. We make an out-of-sample forecast of such a ceiling and show how it could be used by Policy makers interested in keeping the public debt on a sustainable path. We illustrate the applicability of our results using Brazilian data.     

THE BEHAVIOR OF U.S. PUBLIC DEBT AND DEFICITS DURING THE GLOBAL FINANCIAL CRISIS

In this paper we test the sustainability of U.S. public debt for the period 1916–2012 by analyzing how the primary surplus to gross domestic product (GDP) responds to changes in the debt to GDP ratio in a time‐varying parameter model. Further, we determine the stationarity property of the debt/GDP ratio while accommodating possible breaks in the data caused by wars and economic crisis under both the null and alternative hypotheses of an endogenous unit root test. The results show that the U.S. public debt was sustainable until 2005 when the primary surplus to GDP reacted negatively to the debt/income ratio. This is further exacerbated during the global financial crisis when primary surpluses continued to fall with increased debt, thus jeopardizing the sustainability of fiscal policy. While the stationarity test shows that the U.S. fiscal debt/GDP ratio is sustainable, it fails to highlight the risk that its debt policy has been becoming unsustainable in recent years. (JEL H62, E62, C2)     

The golden rule of public finance and the composition of government expenditures: a growth and welfare analysis

This paper employs an endogenous growth model to study the growth and welfare effects of the golden rule of public finance. Two versions are compared, whereby government deficits are restricted for the use of public investments. It is shown that the growth effect of the golden rule depends on what kind of expenditure is adjusted to meet debt obligations. A transition from a balanced budget to a golden rule is performed to study welfare. The results indicate that a budget rule with detrimental growth effects can still have positive welfare implications, and vice versa, if the composition of government expenditures and transitional dynamics are taken into account.     

A golden rule of public finance or a fixed deficit regime?: Growth and welfare effects of budget rules

In this paper, we compare growth and welfare effects of various budget rules within an endogenous growth model with productive public capital, utility enhancing public consumption and public debt. We find that introducing a fixed deficit regime does not affect the long run growth rate compared to a balanced budget while establishing a golden rule results in higher growth. Simulations of welfare effects indicate that a golden rule leads to highest welfare followed by a balanced budget and a fixed deficit regime. A maximum fraction of deficit financed public investment is derived. Varying the intertemporal elasticity of substitution shows that economies populated by households who have a strong tendency to smooth consumption should adhere to a balanced budget from a welfare point of view.     

Debt, Growth and Budgetary Regimes

Within the Barro (1990) model of productive public services, but with the inclusion of public debt, we derive and characterize on the balanced growth path, a set of welfare‐maximizing fiscal rules under two budgetary regimes – one with only the standard dynamic government budget constraint, and the other involving the golden rule of public finance. We demonstrate analytically that the optimal fiscal policy differs in the two budgetary regimes considered. We also analyse two cases within the second regime: one, where the ratio of current spending to tax revenues is parametrically given, and another, where this ratio is optimally chosen by the government.     

Endogenous growth, welfare and budgetary regimes

Within an optimizing endogenous growth model with productive public capital and government debt, we derive and characterize on the balanced growth path a set of welfare-maximizing fiscal rules under different budgetary regimes. It is shown that optimal fiscal policy depends on the specific budgetary stance considered.     

FISCAL SUSTAINABILITY OF JAPAN: A DYNAMIC STOCHASTIC GENERAL EQUILIBRIUM APPROACH

The purpose of this paper is to investigate the fiscal sustainability of Japan by applying a dynamic stochastic general equilibrium model to the Japanese economy. By introducing intermediation costs into the model, we succeed in explaining the observed relationship between the interest and GDP growth rates, which is crucial in testing for sustainability. When the projected real growth rate is 2.5%, the average real interest rate becomes 2.57%, and the debt‐to‐GDP ratio gradually increases stochastically so that government debt is not sustainable. To recover sustainability, the primary surplus must be 0.2% of GDP.     

Public debt dynamics with tax revenue constraints

We develop a dynamic model of public debt under the assumption that it is problematic for governments to implement fast increases of tax revenues, as new taxes require costly infrastructure and expertise that can be built only over time. In this environment, the standard condition requiring economic growth greater than interest costs is not sufficient to guarantee financial stability. Debt might become unstable if the gap between these two indicators falls below a given threshold. Our empirical analysis based on historical public finance data for the US provides strong support for the model. This study conveys a cautionary warning, because the debt of relatively safe borrowers may suddenly become unstable for instance because of a substantial deceleration in the growth of nominal income. These issues can be particularly relevant for those countries that do not have a modern and efficient tax collection system.     

Can productive government spending be a source of equilibrium indeterminacy?

This paper presents an examination of the interaction between indeterminacy and productive government spending financed by taxes in a one-sector growth model. In the paper, we show that the possibility of indeterminacy is positively affected by dependence on income tax financing and is negatively affected by consumption tax financing. Under balanced budget rules, a key determinant for indeterminacy is a revenue source for providing public services (i.e. income tax financing) rather than the presence of productive government spending.     

PUBLIC DEBT AND PUBLIC INVESTMENT IN AN ENDOGENOUS GROWTH MODEL WITH REAL WAGE RIGIDITIES

We present an endogenous growth model with public capital, public debt and real wage rigidities due to labor market imperfections. Assuming that the primary surplus relative to gross domestic produce (GDP) is a positive function of the debt to GDP ratio, we study growth and employment effects of deficit‐financed public investment using simulations as well as how fiscal policy affects stability of the economy. Further, we contrast the growth rate and the unemployment rate in the deficit scenario with that of the balanced budget scenario. Finally, we compare our results with those obtained in case of flexible wages and full employment.     

Public capital,sustainable debt and endogenous growth

We analyze an endogenous growth model with public capital and public debt where we posit that the primary surplus of the government is a positive function of cumulated past debt with an exponentially declining weight put on debt further back in time. We consider two scenarios: first, we study the model assuming that the government runs a balanced budget and, then, we compare the outcome to that of the model with permanent deficits. We analyze growth effects of the two scenarios and we study how fiscal policy of the government affects the dynamics of the model economy. It is demonstrated that the balanced growth rate is higher when cumulated past public debt is smaller. Further, we show that the debt policy of the government crucially determines the dynamics of the model economy and that endogenous growth cycles can arise.     

Debt Policy Rules in an Open Economy

In a small open economy model of endogenous growth with public capital accumulation, we examine the effects of a debt policy rule under which the government must reduce its debt–GDP ratio if it exceeds the criterion level. To sustain public debt at a finite level, the government should adjust public spending rather than the income tax rate. The long‐run debt–GDP ratio should be kept sufficiently low to avoid equilibrium indeterminacy. Under sustainability and determinacy, a tighter (looser) debt rule brings welfare gains when the world interest rate is relatively high (low).     

Aggregate stability under a budget rule and labor mobility

Whether a balanced budget rule stabilizes or destabilizes an economy depends on various factors such as the production function or the instrument used to balance the budget. This paper argues that migration, which has widely been neglected in the literature, also affects equilibrium properties. We study the effect of pro-cyclical labor mobility in a neoclassical growth model with public debt and a balanced budget requirement. Labor mobility can destabilize the economy due to external effects. After a negative shock hits the economy, living abroad becomes relatively more attractive, resulting in out-migration. This increases per capita public debt as migrants leave behind their implicit liabilities. The government increases tax rates to satisfy the balanced budget requirement, which further depresses the economy and increases out-migration. The destabilizing effect of public debt kicks in at only slightly higher debt levels than the ones observed in the Euro area after the financial crisis.