Implementing Steady State Efficiency in Overlapping Generations Economies with Environmental Externalities

We consider in this paper overlapping generations economies with pollution resulting from both consumption and production. The competitive equilibrium steady state is compared to the optimal steady state from the social planner's viewpoint. We show that the dynamical inefficiency of a competitive equilibrium steady state with capital–labor ratio exceeding the golden rule ratio still holds. Moreover, the range of dynamically efficient steady state capital ratios increases with the effectiveness of the environment maintenance technology, and decreases for more polluting production technologies. We characterize some tax and transfer policies that decentralize as a competitive equilibrium outcome the transition to the social planner's steady state.     

Optimal Capital Taxation in a Neoclassical Growth Model

This paper studies the optimal factor tax incidence in a neoclassical growth model with a given share of government expenditure in output. In the Ramsey planner's optimization, the effect of next period's capital on government expenditure equals the given share of the marginal product of capital. Capital accumulation reduces the discounted net marginal product of next period's capital by way of increasing government expenditure. In order to internalize the distortion, it is optimal to tax capital income in the long run.     

Political economy of taxation,debt ceilings,and growth

This study presents voting on policies, including labor and capital income taxes and public debt, in an overlapping-generations model with physical and human capital accumulation, and analyzes the effects of a debt ceiling on a government's policy formation and its impact on growth and welfare. The results show that the debt ceiling induces the government to shift the tax burdens from the older to younger generations, but stimulates physical capital accumulation and may increase public education expenditure, resulting in a higher growth rate. Alternatively, the debt ceiling is measured from the viewpoint of a benevolent planner and lowering the debt ceiling (i.e., tightening fiscal discipline) makes it possible for the government to approach the planner's allocation in an aging society.     

How much to share: Welfare effects of fiscal transfers

Recent sovereign debt crisis has challenged policy makers to explore the possibility of establishing a fiscal transfer system that could alleviate the negative impact of asymmetric shocks across countries. Using a simple labour production economy, we first derive an analytically tractable solution for optimal degree of fiscal transfers. In this economy, fiscal transfers can improve welfare by moving the competitive equilibrium with fiscal transfers closer to the social planner's solution. We then extend the model to a DSGE setting with capital, international bond and linear taxes, and we analyze how implementation of a simple revenue sharing rule affects welfare and macroeconomic variables over time. Simulation results show that risk sharing through fiscal transfers always improves welfare in the long run. However, under certain model specifications, short‐run transitional welfare loss can outweigh the long‐run benefits. These results suggest that, in designing fiscal transfers across countries, government should take into consideration the intertemporal nature of welfare gains.     

Endogenous business cycles and systematic stabilization policy*

We study the effects of fiscal policy rules on the determinacy of rational expectations equilibrium in a perfectly competitive monetary model with constant returns. Government spending implies a distortion of the monetary steady state due to the implied taxation. We show that policy rules that let the GNP share of government spending depend sufficiently negatively on increases in GNP stabilize the economy with respect to endogenous fluctuations for arbitrarily little distortion of the steady state at which stabilization occurs. The rules do not involve lump‐sum taxation, negative income taxation, or exact knowledge of the economy's laissez‐faire steady state.     

Asset Price And Current Account Dynamics

We examine the interaction between asset market and current account in a small open economy. In an overlapping generations economy in which land and money are available assets, the interaction between the land price and current account dynamics is shown to generate a plausible (asset price) specie-flow mechanism. We apply them to a number of issues. Domestic credit policy is neutral in the long run: one unit of foreign reserve increase offsets one unit of credit reduction. Next, the association between the endowment of land and foreign asset accumulation depends on parameters of the model. Finally, we examine the dynamic adjustment s following a once-and-for-all capital inflow. When the adjustment involves running current account deficit, the recipient country's foreign reserve position is permanently lowered. Furthermore, the steady state level of national wealth is permanently reduced. [E4, F3]     

The political economy of the impossible trinity

This paper reconsiders the policy trilemma in an open economy by incorporating political economy concerns. We argue that the impact of government ideology on monetary independence, exchange rate stability, and capital flow restrictions should be analyzed in the broader context of restrictions imposed by the impossible trinity instead of the usual single-dimensional constraints. Employing a de facto measurement of these restrictions for a sample of 111 countries from 1980 to 2010, we show that the impact of government ideology on a country's position in this trilemma is highly context dependent: we find that its impact on exchange rate stability and monetary independence varies between developed and developing countries. We also show that the impact of government ideology on these two trilemma components is contingent on the stance of the respective economy's business cycle. Left-leaning governments seem to favor exchange rate stability over monetary independence in case of a negative output gap; suggesting a reversal of their commonly assumed partisan preferences in economically tight times.     

Long-run scarring effects of meltdowns in a small-scale nonlinear quadratic model

We build a small-scale nonlinear quadratic (NLQ) model in which credit feedback and regime switches in the output gap affect the adjustment path of the economy towards a steady state. The central bank solves a finite-horizon decision problem where the policy rate also can be zero or negative. We estimate this model by nonlinear seemingly unrelated regression method (NLSUR) and using the parameters to explore policy scenarios. The latter projects long-run dynamics after a large demand contraction leading to scarring effects on the economy. We point out three main results. First, while scars are dominant when the central bank follows a standard Taylor rule, unconventional monetary policy (UMP) – such as Quantitative Easing – mitigates the output decline in both the short and the long run. Second, a zero natural interest rate curtails the central bank’s ability to adjust the economy and mitigate scars. Third, financial constraints leave the deepest scars even if UMP is active.     

On optimal redistributive capital taxation

This paper addresses conflicting results regarding the optimal taxation of capital income. Judd proves that in a steady state, there should be no taxation of capital income. Lansing studies a logarithmic example of one of Judd's models and finds that the optimal steady‐state tax on capital income is not always zero—it is positive in some specifications and negative in some others. There appears to be a contradiction. However, I show that Lansing derives his result by relaxing the convergence hypotheses of Judd's theorem. With less restrictive hypotheses, a wider range of primitives (parameter values, initial condition, etc.) satisfy the hypotheses and because each specification of primitives generates its own optimal time path(s) for the model's variables, it follows that a wider range of time paths with a wider range of steady‐state properties is possible. This raises a question. What happens if the convergence hypotheses are weakened further so that they are satisfied by a wider yet range of primitives? I find that at any interior steady state for the model's optimal tax equilibrium, either the capital tax is zero or else the elasticity of marginal utility is unitary which is satisfied identically in Lansing's log example. In effect, Lansing's example illustrates the only way in which an interior steady state can violate the zero tax result.     

Is fiscal austerity really self-defeating?

This paper analyzes local and global equilibrium dynamics in an optimizing endogenous growth model under expenditure-based fiscal austerity feedback policies expressed relative to the private capital stock—prescribing spending cuts in reaction to public debt accumulation. Because the present value of equilibrium primary surpluses turns to be a nonlinear function of debt, two steady state equilibria are shown to emerge, one exhibiting low debt and high growth, one exhibiting high debt and low growth. Local analysis reveals that the low-debt/high-growth steady state is saddle-path stable while the high-debt/low-growth steady state is unstable—the latter thus indicating the possibility of self-defeating austerity, characterized by off-equilibrium upward spirals in debt because of persistent policy-induced adverse effects on growth dividends and fiscal revenues. However, when global nonlinear dynamics are taken into account, it is demonstrated that the two steady states are endogenously connected. In particular, global analysis reveals that even if the high-debt/low-growth steady state is locally unstable, there exists a unique and possibly nonmonotonic saddle connection making the economy converge to the low-debt/high-growth steady state. The existence of the saddle connection guarantees global determinacy of perfect foresight equilibrium should the high-debt/low-growth steady state be a node, ruling out multiple explosive paths incompatible with the government's intertemporal budget constraint and the private agents' transversality condition. The foregoing results are robust with respect to the adoption of an output-based—rather than a capital-based—policy function as long as the rule is nonlinear and sufficiently reactive to debt changes.     

Human capital investment,credentialing, and wage differentials

This study considers how individuals determine at what ratio they will invest in two different types of education. The first type contributes to the development of labor skills, while the other does not. We refer to the former as human capital investment and the latter as unproductive investment, which improves test scores but has no beneficial effect on students' human capital. We formulate an overlapping‐generations economy in which the rich and poor households invest in both types of education. We find that the ratio of human capital investment to unproductive investment is lower in the economy with medium size of the wage differentials. In a dynamic analysis, we identify two patterns of stable steady states for the dynamics of the wage differentials, namely, no‐inequality and high‐inequality steady states. Further, we show that a rapid increase in the level of skill‐biased technology may cause a switch from a steady state with no‐inequality to one with high inequality. This causes at least a temporary increase in the ratio of unproductive investment during the transition to the new steady state.     

Real Minimum Wage and Growth Theory: Simulations and Some Policy Results

Abstract

A Solow type two‐sector growth model is used to examine several issues related to growth and unemployment in a minimum wage economy. By simulating the model, we demonstrate that given the same percentage increase in wage rate, an economy with a higher capital–labor ratio is more likely to decay. More importantly, a tariff policy reduces the unemployment periods by 92% provided that the current capital–labor ratio is one‐sixth of that of the steady state capital–labor ratio. We assume that the first best policy of uniform wage subsidy is not politically feasible.     

The taxation of capital returns in overlapping generations models

This paper shows that in the Diamond (1965) overlapping generations economy with production and capital savings, there is a period-by-period balanced fiscal policy supporting a steady state allocation that Pareto-improves upon the laissez-faire competitive equilibrium steady state (whether dynamically inefficient or efficient) without resorting to intergenerational transfers. The policy consists of taxing linearly (or subsidizing, in the dynamically efficient case) the returns to capital, while balancing the budget period by period through a lump-sum transfer (or tax, respectively) in second period. This intervention grants every generation the highest steady state utility attainable through markets (i.e. remunerating factors by their marginal productivities and without transfers) which under laissez-faire is not a competitive equilibrium outcome. A transition from the competitive equilibrium steady state to this other steady state is also Pareto-improving when the former is dynamically inefficient. The result disentangles from redistributive considerations the impact of the taxation of capital returns on steady state welfare, and thus provides a rationale for the taxation of capital returns that is based on efficiency considerations and not on redistributive goals.     

ON DECREASING MARGINAL IMPATIENCE*

One of the most controversial assumptions in endogenous time preference theory is that the degree of impatience is marginally increasing in wealth. We examine the implications of an empirically more relevant specification whereby time preference exhibits decreasing marginal impatience (DMI). With DMI, there are multiple steady‐state non‐satiated and satiated equilibria. In a constant interest rate economy, the non‐satiated steady‐state point is necessarily unstable. In a capital economy with decreasing returns technology, both the non‐satiated and satiated steady‐state points can be saddlepoint stable. The model is used to examine policy implications for the effects of capital taxation and government spending.     

Subsistence consumption and natural resource depletion: Can resource-rich low-income countries realize sustainable consumption paths?

This contribution is concerned with efficient use of a resource if households are characterized by Stone–Geary preferences with a minimum subsistence level of consumption. Subsistence consumption implies particular minimum requirements for initial endowments with reproducible man-made capital and resources. If these are not met, the economy is not able to cover subsistence consumption such as nutrition. Focusing on the steady state, we find that the equilibrium can be governed by zero or positive growth. The latter occurs if the rate of exogenous technical change exceeds the rate of time preference. In the former case, we can show that Hartwick’s investment rule applies in a steady state. Finally, we calibrate the model for developing but resource-rich countries and trace the full dynamic development of the economy. Furthermore, we evaluate this full adjustment process regarding several sustainability indicators.     

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.     

Changes in income distribution over time in a one-sector neoclassical setting

This paper, which is aimed at explaining the endogeneous changes in the income distribution as an economy grows, extends Darity's model and applies it to the Gini decomposition equation developed by Fei, Ranis and Kuo. It defines two types of families, the rich and the poor, both being allowed to own labor and capital but the former being assumed to own more capital and have a higher savings rate than the latter. Total supply is produced according to a neoclassical production function. Consumption demand is determined by the pattern of income distribution, and the excess of total supply over consumption is available for investment, which is an addition to the physical capital stock as well as an increase in the wealth of the rich and poor families. Over time, both families become more wealthy as the economy grows according to enlarged production capacities, meanwhile the wage rate rises and the return to capital falls as capital deepening proceeds. These, along with the distribution of factor ownership between the poor and the rich family, determines the pattern of income distribution. It is then found that: (a) as the economy grows from an initial low-level per capita income towards a long-run steady-state equilibrium, the changes in income distribution over time may follow a variety of patterns, depending mainly on the magnitude of the elasticity of substitution and the situation of the initial position; and (b) only if (i) the initial distribution of the ownership of capital is comparable to or slightly more concentrated in the hands of the rich family than its long-run steady level, and (ii) the elasticity is less than one, will the changes in income distribution over time be consistent with the Kuznets inverted-U pattern.     

Liquidity-profit rate cycles in a capitalist economy

A monetary economy consisting of independent capitalist firms, in which workers spend wages instantly and labor is not scarce, is studied The firms create demand for each other's output through their capital outlays, and create the backing for money through borrowing. When all firms are identical in behavior and initial conditions, and the rate of growth of money is constant, the economy may be unstable around the equilibrium steady state growth path due to strong accelerator effects, and follow a limit cycle trajectory.     

Basel II procyclicality: The case of South Africa

This paper studies the impact of bank capital regulation on business cycle fluctuations. In particular, we study the procyclical nature of Basel II claimed in the literature. To do so, we adopt the Bernanke et al. (1999) “financial accelerator” model (BGG), to which we augment a banking sector. We first study the impact of a negative shock to entrepreneurs' net worth and a positive monetary policy shock on business cycle fluctuations. We then look at the impact of a negative net worth shock on business cycle fluctuations when the minimum capital requirement increases from 8 percent to 12 percent. Our comparison studies between the augmented BGG model with Basel I bank regulation and the one with Basel II bank regulation suggest that, in the presence of credit market frictions and bank capital regulation, the liquidity premium effect further amplifies the financial accelerator effect through the external finance premium channel, which, in turn, contributes to the amplification of Basel II procyclicality. Moreover, under Basel II bank regulation, in response to a negative net worth shock, the liquidity premium and the external finance premium rise much more if the minimum bank capital requirement increases, which, in turn, amplify the response of real variables. Finally, small adjustments in monetary policy can result in stronger response in the real economy, in the presence of Basel II bank regulation in particular, which is undesirable.     

Toward an Improved Definition of Poverty

This paper is motivated by the observation that the type and the combination of assets are associated with the likelihood of poor households' experience of shock. Focusing on the case of adivasi households in the south Indian state of Kerala, we find that the type, number and combinations of specific assets (primarily social and physical capital) yield varied magnitudes of association with households' experience of shock, which is a measure of vulnerability. Thus, going beyond mere welfare considerations, social policies that prioritise and sequence the type and combination of asset building based on contextual factors help minimise the incidence of shocks and improve livelihood choices.