Sustainability of public debt,public capital formation,and endogenous growth in an overlapping generations setting

Under the golden rule of public finance for public investment with a constant budget deficit/GDP ratio, we show that for the sustainability of government budget deficits there is a threshold of the initial public debt for a given stock of public capital, and that this threshold level of public debt is increasing in the stock of public capital. If the initial public debt is greater than the threshold, the government can no longer sustain budget deficits, while if it is smaller, the government can conduct a permanent deficit policy, which eventually leads to a positive public debt/GDP ratio.     

Environmental Quality,Public Debt and Economic Development

This article analyzes the consequences on capital accumulation and environmental quality of environmental policies financed by public debt. A public sector of pollution abatement is financed by a tax or by public debt. We show that if the initial capital stock is high enough, the economy monotonically converges to a long-run steady state. On the contrary, when the initial capital stock is low, the economy is relegated to an environmental poverty trap. We also explore the implications of public policies on the trap and on the long-run stable steady state. In particular, we find that government should decrease debt and increase pollution abatement to promote capital accumulation and environmental quality at the stable long-run steady state. Finally, a welfare analysis shows that there exists a level of public debt that allows a long run steady state to be optimal.     

AN ENDOGENOUS GROWTH MODEL WITH PUBLIC CAPITAL AND SUSTAINABLE GOVERNMENT DEBT*

This paper presents and analyses an endogenous growth model with public capital and public debt. It is assumed that the ratio of the primary surplus to gross domestic income is a positive linear function of the debt income ratio which assures that public debt is sustainable. The paper then derives necessary conditions for the existence of a sustainable balanced growth path for the analytical model. Further, simulations are undertaken in order to gain insight into stability properties of the model and in order to analyse growth effects of deficit financed increases in public investment. The latter is done for the model on the sustainable balanced growth path as well as for the model along the transition path.     

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.     

Government expenditure,external and domestic public debt,and economic growth

This paper analyzes the relationship between government expenditure, tax on returns to assets, public debt, and growth in an endogenous growth model. Public debt is composed of two components, domestic debt and external debt. We show conditions for existence, uniqueness, and multiplicity of the steady states. More precisely, existence of steady state requires a sufficiently high productivity and a sufficiently low tax on returns to assets. We also provide the effects of an increase in the tax rate on returns to assets on the steady state. In particular, the relation between public spending and the tax rate has a bell shape. Domestic debt unambiguously increases with tax whereas external debt displays an inverted U‐shaped curve. A high tax rate leads to a reallocation of public debt in favor of domestic debt (to the detriment of external debt). The effect of taxation on consumption (and production) also displays a nonlinear pattern when the output elasticity of capital is lower than unity (the effect is monotonously increasing if this elasticity is unity). We also derive the conditions under which a tax increase can boost or reduce the balanced growth rate.     

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.     

公共资本投资、内生经济增长与合理政府债务规模*

本文基于一个具有内生增长机制的三部门世代交叠模型,讨论了政府举债为公共投资进行融资时经济的长期均衡;同时,通过数值模拟方法考察了我国的均衡政府债务规模及其影响因素。结果表明：在特定条件下,经济系统存在一个正的均衡政府债务-产出比重,该债务比重水平明显受到公共投资—产出比重、公共投资的债务融资比重、民间资本产出弹性等参数的影响。但是,均衡政府债务比重并不是无限上升的,当上述参数超过特定临界值时,经济系统无法达到均衡,政府债务-产出之比将持续上升,财政将不可持续。另外,当民间资本产出弹性较低时,较高的均衡政府债务比重可能导致经济运行动态无效率。数值模拟结果还显示,基于不同的假设情形,我国的均衡政府债务-产出比重均在不同程度上高于当前实际的政府债务规模,这为我国在未来期间实施扩张性财政政策提供了有利的依据。     

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).     

PUBLIC DEBT BUBBLES IN HETEROGENEOUS AGENT MODELS WITH TAIL RISK

This article studies the public debt implications of an analytically tractable class of incomplete insurance macroeconomic models in which agents face a near-zero probability of a highly adverse outcome. In generic models of this kind, there exists a public debt bubble, so that the real interest rate is perpetually below the growth rate (set to zero). There is no upper bound on the deficit level or debt level that is sustainable in a bubbly equilibrium. In a public debt bubble, ex ante steady-state welfare is higher if the government chooses policies that give rise to a larger level of debt.     

A note on the sustainability of primary budget deficits

This note studies the sustainability of primary budget deficits in a situation where the public sector has also incurred debt to the private sector. It shows that if the rate of pure time preference is small relative to the population growth rate, if public consumption constitutes a modest fraction of output, and if the primary budget deficit is sufficiently small, then it is also sustainable, and the associated steady state is locally stable.     

Public Expenditure,Environment, and Economic Growth

This paper attempts to develop a model of endogenous growth with special consideration to the role of productive public expenditure in the presence of congestion effect of private capital and environmental pollution. We analyze the properties of the optimal fiscal policy in the steady‐state equilibrium when the level of production of the final good is the source of emission. Government allocates its income tax revenue between pollution abatement expenditure and productive public expenditure. In the steady‐state equilibrium, optimum ratio of productive public expenditure to national income is less than the competitive output share of the public input; and this ratio varies inversely with the magnitude of the emission‐output coefficient. The steady‐state equilibrium appears to be a saddle point; and the market economy growth rate is not necessarily less than the socially efficient growth rate in the steady‐state equilibrium.     

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.     

Fiscal policies, environmental pollution and economic growth

This paper develops a model of endogenous economic growth with special consideration to the role of productive public expenditure and environmental pollution; and analyses the properties of optimal fiscal policy in the steady state growth equilibrium. We consider the level of consumption as the source of pollution. Government allocates its tax revenue between pollution abatement expenditure and productive public expenditure. Optimum ratio of productive public expenditure to national income is equal to the competitive output share of the public input, when productive public expenditure is depicted as tax revenue minus abatement expenditure. However, the proportional income tax rate exceeds the competitive output share of the public input. There is no conflict between the social welfare maximizing solution and the growth rate maximizing solution in the steady state growth equilibrium. The unique steady state growth equilibrium appears to be a saddle-point when the growth rate is above a critical level and the steady state equilibrium growth rate in the market economy is not necessarily lower than the socially efficient growth rate.     

Endogenous fertility,Ricardian equivalence,and debt management policy

This paper develops a model in which dynastic families optimally determine fertility. Government debt represents a tax on future generations and on childbearing; the Ricardian Equivalence Hypothesis does not hold. Debt is welfare reducing in that it distorts the fertility decision. An increase in government debt induces a decline in fertility and an increase in the steady state capital/labor ratio. If a government inherits an existing stock of debt, the 1st-best policy is to eliminate the debt immediately. In other situations the optimal debt management policy will not, in general, entail a total elimination of the debt.     

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.     

The government deficit in a growth model: Consequences and trade-offs

This paper investigates the consequences of a fixed, positive government deficit/national-income ratio (where the deficit includes interest payments on the debt) in a growth model. To keep the deficit ratio fixed, policymakers must continuously adjust the primary deficit ratio (the deficit ratio when the deficit excludes interest payments) to offset endogenous changes in the interest/income ratio. The model is used to derive the impact of the deficit ratio and the monetization ratio-the fraction of the deficit financed by money-on the capital/labor ratio, the inflation rate, and the interest/income ratio. Consequences and trade-offs are examined. In the model, raising the deficit ratio reduces the capital/labor ratio; and must raise either the interest/income ratio, or the inflation rate, or both.     

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.     

Human capital formation and public debt: growth and welfare effects of three different deficit policies

We analyze an endogenous growth model public educational spending. We show that the balanced budget policy and the policy with a slight deficit yield higher growth than a debt policy where public debt grows at the same rate as GDP, unless the government is a creditor. As concerns welfare, it can be demonstrated that a strong deficit policy yields lower welfare than a balanced budget and a slight deficit policy, unless initial debt ratios are low and the intertemporal elasticity of substitution is high. Finally, there may exist an inverted U-shaped relation between welfare and deficit-financed educational spending.     

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.     

A role for preferred stock in the financing decision of a public utility

Summary We have shown that preferred stock has a unique role in the financing of public utility capital expenditures, particulary when returns allowed by regulatory commissions are perceived to be inadequate. From the firm's perspective there is no tax advantage for debt because the commission effectively passes the tax savings through the consumers. If allowed returns on common stock are inadequate and the firm has exhausted its perceived debt capacity, then preferred stock becomes the optimal financing instrument. The regulatory commissions compute the costs of debt and preferred stock so that companies can expect returns to cover payments on debt and preferred stock if the assets being financed are necessary and will be included in the rate base. During extremely bad years when revenues are much less than expected, the companies can delay or miss preferred stock dividends without running the risk of default. The data on new capital sources for the electric and gas utilities indicate that these companies made adjustments which are consistent with the implications of our model, but they did not follow the extreme policy of using only debt and preferred stock when market-to-book ratios for common stock were below one. Regulators have, on occasions, used capital structures for rate-making that differ from actual capital structures, and a utility might be penalized for using an extreme capital structure policy. The main emphasis of regulatory review of capital structure, however, has been on the debt component. One strategy would be to use a debt level that satisfies the regulatory commission and then adjust equity between preferred stock and common stock to maximize value for common stockholders.