Public investment,the rate of return,and optimal fiscal policy in a stochastically growing economy

This study examines the optimal fiscal policy in a stochastic endogenous growth model with private and public capital. The government is willing to actualize a socially optimal equilibrium using a lump-sum tax and government debt linked to public investments, subject to the budget constraint under the golden rule of public finance. A socially optimal fiscal policy states that a deterministic rate of return on government bonds sets the marginal product of public capital. Moreover, public investments optimally adjust the ratio of private capital to public capital to equate the rates of return on such capital. The presence of stochastic disturbances results in a disparity between the optimal marginal products of the two types of capital, as reported in previous empirical studies. This disparity significantly affects the socially optimal growth rate in response to investment risk.     

Optimal fiscal policy in the Uzawa-Lucas model with externalities

Summary. This paper devises a fiscal policy by means of which the first-best optimum equilibrium is attained as a market equilibrium in the Uzawa-Lucas model when average human capital has an external effect on productivity. The optimal policy requires the use of a subsidy to investment in human capital which can be financed by a tax on labor income. Lump-sum taxation is not required to balance the government budget either in the steady state or in the transitional phase. Physical capital income should not be taxed. Alternatively, the optimal growth path can be attained by means of a subsidy to human capital. Received: March 21, 2002; revised version: September 4, 2002 RID="*" ID="*" Financial support from the Spanish Ministry of Science and Technology through PNICDYIT grant SEC2002-03663 is gratefully acknowledged.     

Deficit financing,liquidity, and the government budget constraint

This article presents a macroeconomic model in which government deficits are bond financed and the stock of bonds may affect both expected income and liquidity. If either of these effects exists, then comparative statics analysis requires the government budget to be balanced. Temporary divergences from a balanced budget and changes in the maturity structure of the government debt may be analyzed in terms of changes in the stock of bonds. It is shown that traditional fiscal and monetary policies may have a perverse effect; that to ensure effective policy, deficit financing and open market operations should be avoided; and that only policies involving a balanced budget or the financing of deficits or surpluses through changes in the stock of money should be undertaken.     

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.     

Inflation and the Impact of Budgets

This article focuses on the adjustment of budget figures for the effect of inflation on the value of government debt. It asks whether such adjustment improves their performance as a measure of 'fiscal impact'. If inflation significantly influences the impact of budgets on the real economy, policy-makers may make inappropriate fiscal policy decisions if they are guided by unadjusted budget figures. The article argues that if agents perceive holdings of government debt as part of their wealth, changes in the real value of debt will have an effect on consumption behaviour. Therefore to assess the impact of fiscal policy on consumption it may be necessary to adjust budget figures so that they accurately indicate changes in the real value of debt held by the private sector. This article adjusts a series of structural public sector borrowing requirements (PSBR) for the effect of inflation on the real value of government debt held by the private sector. An empirical analysis concludes that the inflation-adjusted budget series provides a superior measure of fiscal impact on consumption, and hence the real economy.     

Central bank instruments, fiscal policy regimes, and the requirements for equilibrium determinacy

This paper examines the role of the monetary instrument choice for local equilibrium determinacy under sticky prices and different fiscal policy regimes. Corresponding to Benhabib et al.'s results for interest rate feedback rules [Benhabib, J., Schmitt-Grohé, S., Uribe, M., 2001. Monetary policy and multiple equilibria. American Economic Review 91, 167–185], the money growth rate should not rise by more than one for one with inflation when the primary surplus is raised with public debt. Under an exogenous primary surplus, money supply should be accommodating—such that real balances grow with inflation—to ensure local equilibrium determinacy. When the central bank links the supply of money to government bonds by controlling the bond-to-money ratio, an inflation stabilizing policy can be implemented for both fiscal policy regimes. Local determinacy is then ensured when the bond-to-money ratio is not extremely sensitive to inflation, or when interest payments on public debt are entirely tax financed, i.e., the budget is balanced.     

Optimal fiscal policy in the Uzawa-Lucas model with CES production

This paper devises an endogenous growth model with human capital in the Uzawa-Lucas framework in which the average human capital has a positive external effect on the goods sector. Unlike previous works, this paper assumes that output is produced with a CES technology and analyzes the existence, uniqueness, and stability of equilibrium. Also, a fiscal policy is devised that is capable of providing the required incentives to optimize the competitive equilibrium. In order to correct the market failure caused by the externality, the authors introduce a subsidy to human capital and analyze how it can be financed in an optimal way. Some simulation results are presented.     

The debt brake of the German states: a faulty design?

The debt brake for German states, which demands that they are forbidden from taking up new net debt from 2020 onwards, has two major shortcomings. First, states do not have tax autonomy. In fiscal crises, they can only make adjustments to expenditure but not on the revenue side. Given the fact that most expenditure is—at least in the short term—predetermined by law, in such a crisis a balanced budget without new debt is hardly feasible. Second, the measure does not take into account that large investments, in particular in small regional units, can scarcely be financed by current expenditure. Thus, there is a high probability that at least some states will take up new net debt even after 2020 and, therefore, violate the rules of the debt brake.     

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.     

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.     

Higher Education: Subsidizing Tuition versus Subsidizing Student Loans

We use a simple two‐period equilibrium framework to explore the effects of two different subsidization regimes for higher education on the formation of human capital and on the distribution of incomes. Individuals finance their investments in higher education through income‐contingent education loans as well as subsidies from the government. The subsidy is tax‐financed. We compare an egalitarian subsidy scheme, which reduces by a uniform amount the tuition charged to students, with a student loan subsidy which is proportional to the student's debt service obligation. We show that both types of subsidies reduce the economy‐wide underinvestment in higher education and lead to a more equal income distribution. Furthermore, according to some social welfare criterion, the student loan subsidy regime dominates the tuition subsidy regime if the subsidy level is predetermined, while the converse is true if the subsidy level constitutes a choice variable of the government.     

Optimal Monetary Policy, Taxes, and Public Debt in an Intertemporal Equilibrium

This article is devoted to a study of the optimal monetary and fiscal policies within the framework of an overlapping generations model with cash-in-advance constraints. We first characterize the intertemporal equilibrium. Then we show how to decentralize the optimal growth path using available policy instruments (i.e., labor income and capital taxes, public debt, money supply). Between the four instruments: wages and capital taxes, debt and monetary policy, one is redundant among the three last which implies that the Friedman Rule is only a special case.     

Identifying optimal contingent fiscal policies in a business cycle model

Optimal fiscal policy is indeterminate in a dynamic and stochastic environment. The complete characterization of the fiscal policy requires the use of identification constraints. In the literature either capital taxes or debt have been restricted to be not contingent on the state of nature. We propose a different type of identification constraints to have both policy variables state-contingent. Three alternative identification conditions are considered: (i) restrictions on the dynamic and stochastic behavior of the debt path; (ii) an exogenous debt path, and (iii) an exogenous belief function. The main result indicates that the optimal capital tax is zero and constant over the business cycle for any of the identification conditions used, suggesting that is optimal for the government to use debt return as a shock absorber, keeping capital taxes constant. The result is quite different from the previous literature, which obtains very volatile capital taxes. JEL Classification: E62, H21. We are grateful to Alfonso Novales, Víctor Ríos-Rull, Javier Vallés and two anonymous referees for helpful comments and suggestions. We acknowledge financial support from Spanish Ministerio de Ciencia y Tecnología (Ruiz and Pérez: BEC 2003-039; Manzano: BEC 2002-01995). Baltasar Manzano also acknowledges support from Xunta de Galicia (PGIDIT03PXIC30001PN, PGIDIT03CSO30001PR).     

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.     

Fiscal space on the eurozone periphery and the use of the (partially) balanced-budget multiplier: The case of Spain

This article adopts the “functional finance” approach to consider the utilization of expansive fiscal policies in the members of the European Monetary Union most affected by high unemployment. As they do not have their own monetary policy, fiscal deficits require the issuing of public debt without the support of the central bank. The authors consequently incorporate the notion of a (partially) balanced-budget expansion to achieve the desired stimulus in gross domestic product (GDP) with the least possible effect on public debt. Their proposal is only a sort of “imperfect” balanced-budget expansion: It is based on the idea that simultaneous increases in public revenue and expenditure can boost GDP, but without any pretension of keeping public deficit unchanged. Specifically, the authors use the case of Spain to show that a more expansive fiscal policy is desirable on economic grounds, and that only institutional constraints prevent it. They do it presenting two alternative scenarios for the coming years and analyzing their different impact on unemployment and fiscal sustainability. The first represents a firm commitment to budget consolidation, whereas the second is based on this “imperfect” application of the balanced budget multiplier. The main conclusion is that a more expansive fiscal policy is perfectly compatible with finance sustainability.     

Human capital formation,learning by doing and the government in the process of economic growth

We present an endogenous growth model with human capital and learning by doing. Human capital is not an input factor in the production process of final output but it affects the ability to build up knowledge capital as a by‐product of cumulated investment (learning by doing). Human capital is formed in the schooling sector that is financed by the government. The government may run into debt but obeys the inter‐temporal budget constraint. The article analyzes the structure of the model and studies the effects of different budgetary policies as regards the balanced growth rate, transition dynamics and with respect to welfare.     

Public investment,national debt,and economic growth: The role of debt finance under dynamic inefficiency

Public investment is a central issue in the dynamic analyses of fiscal policy and economic growth. Debt financing for public investment and its effects have recently received great attention because interest rates have been low, almost invariably remaining below economic growth rates. This paper presents examination of the effects of debt-financed public investment subject to a simple fiscal rule in an overlapping generations model with public capital. This topic includes capital budgeting and the debt–deficit criterion of the Maastricht treaty. We show herein that debt financing for public investment enhances economic growth if an economy is dynamically inefficient and if public capital has a sufficiently large productivity effect. Moreover, it reduces economic growth rates in a dynamically efficient economy. Debt and growth can have a monotonic or non-monotonic relation, depending on the steady-state interest rate, growth rate, and productivity effect of public investment. The findings indicate that debt–growth relations match with controversial empirical evidence. Furthermore, existing generations choose perfect debt finance if dynamic inefficiency exists. In contrast, a balanced budget is preferred in a dynamically efficient economy with low productivity effects of public capital. However, an economy with high productivity effects of public capital might cho ose debt financing. This paper contributes to the elucidation of currently emphasized issues of public investment.     

Investment Cycles and Sovereign Debt Overhang

We characterize optimal taxation of foreign capital and optimal sovereign debt policy in a small open economy where the government cannot commit to policy, seeks to insure a risk-averse domestic constituency, and is more impatient than the market. Optimal policy generates long-run cycles in both sovereign debt and foreign direct investment in an environment in which the first best capital stock is a constant. The expected tax on capital endogenously varies with the state of the economy, and investment is distorted by more in recessions than in booms, amplifying the effect of shocks. The government's lack of commitment induces a negative correlation between investment and the stock of government debt, a "debt overhang" effect. Debt relief is never Pareto improving and cannot affect the long-run level of investment. Furthermore, restricting the government to a balanced budget can eliminate the cyclical distortion of investment.     

Discretionary policy in a monetary union with sovereign debt

This paper examines the interactions between multiple national fiscal policymakers and a single monetary policy maker in response to shocks to government debt in some or all of the countries of a monetary union. We assume that national governments respond to excess debt in an optimal manner, but that they do not have access to a commitment technology. This implies that national fiscal policy gradually reduces debt: the lack of a commitment technology precludes a random walk in steady-state debt, but the need to maintain national competitiveness avoids excessively rapid debt reduction. If the central bank can commit, it adjusts its policies only slightly in response to higher debt, allowing national fiscal policy to undertake most of the adjustment. However, if it cannot commit, then optimal monetary policy involves using interest rates to rapidly reduce debt, with significant welfare costs. We show that in these circumstances the central bank would do better to ignore national fiscal policies in formulating its policy.     

Human capital, inequality, endogenous growth and educational subsidy: A theoretical analysis

This paper develops an endogenous growth model with dualism in human capital accumulation of two types of individuals. The government imposes a proportional income tax on rich individuals and uses the tax revenue to finance the educational subsidy given to poor individuals. We find out the properties of the optimal tax financed educational subsidy policy in the semi-stationary equilibrium of the model using the technique of Stackelberg differential game.