Pollution Abatement Investment When Environmental Regulation Is Uncertain

In a dynamic model of a risk-neutral competitive firm that can lower its pollution emissions per unit of output by building up abatement capital stock, we examine the effect of a higher pollution tax rate on abatement investment both under full certainty and when the timing or the size of the tax increase is uncertain. We show that a higher pollution tax encourages abatement investment if it does not exceed a certain threshold rate. However, akin to the Diamond-Mirrlees tax anomaly, it is possible that a higher pollution tax rate results in more pollution. The magnitude uncertainty discourages abatement investment, but at the time of the actual tax increase the abatement investment path may shift either upward or downward. On the other hand, when the timing is uncertain, the abatement investment path always jumps upward, thus suggesting that the effect of magnitude uncertainty on the optimal investment path may be more pronounced than that of timing uncertainty. Further, we show that the ad hoc practice of raising the discount rate to account for the uncertainty leads to underinvestment in abatement capital. We show how the size of this underinvestment bias varies with the future tax increase. Finally, we show that a credible threat to accelerate the tax increase can induce more abatement investment.     

Capital markets integration, growth and income distribution

The paper considers a two-country model of overlapping generation heterogenous economies with intergenerational transfers carried out in the form of bequest and investment in human capital. We examine in competitive equilibrium the transitory and long-run effects of capital markets integration. First, we explore how the regime of public education affects the dynamics of the integrated economy. Second, we study the effects of capital markets integration, in equilibrium, on the intragenerational income distribution in both the host and investing country.     

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.     

Endogenous growth cycles—Arrow's learning by doing reconsidered

A two-sector growth model is presented in which human capital is acquired through learning by doing. It is shown that, for both the competitive situation and the social optimum, endogenous growth cycles may be the outcome. Concerning the economic prerequisite for persistent oscillations we detect a bunching of investment at nearby dates leading economic variables to overshoot the long-run steady state values. This clustering of investment, for its part, may be caused by adjacent complementarity with respect to the stocks or by a sufficiently strong external effect of investment on the marginal product of physical capital or on the opportunity costs of investment.     

Indeterminate Balanced Growth under Habit Persistence and Fiscal Policies

This paper studies a dynamic general equilibrium model with habit persistence in preferences and fiscal policies of taxation and expenditures. Preference takes a subtractive form of habits (the marginal rate of substitution between the agent's own consumption and habit stocks is constant), and technology is linear in aggregate capital (the economy grows without a limit in the long run). We find a continuum of competitive equilibrium paths in conjunction with a unique balanced growth path in the growing economy, in which habits represent both envy/jealousy and altruism/admiration. In addition, in the social optimum under second-best fiscal policies, we show the existence of indeterminacy in transitional allocations along with a unique balanced growth path. Thus, we find that the introduction of habits influences the patterns of the transitional paths but has no impact on the balanced growth path in either competitive or social optimum allocations. The second-best fiscal policy, therefore, restores the socially optimal balanced growth rate but fails to select the unique transitional path among multiple competitive equilibrium paths in the imperfectly competitive economy.     

Investment options and the business cycle

This paper extends [R. Mehra, E.C. Prescott, Recursive competitive equilibrium: The case of homogeneous households, Econometrica 48 (1980) 1365-1380] to a production economy with two capital goods. It is an RBC model in which each unit of investment requires a new idea, an ‘option.’ When options are scarce, new capital is harder to put in place and the value of old capital rises. Thus the stock market and Tobin's Q are negative indexes of intangibles. During a boom, Q rises gradually, as options are used up. Because investment represents an exercise of options, it has an intertemporal substitution tradeoff that is absent from the adjustment-cost model. Equilibrium may be efficient even without markets for knowledge; the stock market may suffice.     

Pension Reform and Economic Performance Under Imperfect Capital Markets

We consider an overlapping generations model where heterogeneous agents take decisions on consumption and investment in education under the assumption of imperfect capital markets. We study how the introduction of a pay-as-you-go and of a fully funded pension scheme affects output and lifetime opportunities, and then analyse the impact of a pension reform. The standard neutrality result for fully funded pension schemes does not hold in this framework. We establish the conditions under which a fully funded scheme is associated with a higher investment in human capital. We show that the transition path may involve poverty traps     

China’s catch-up to the US economy: decomposing TFP through investment-specific technology and human capital

We implement a neoclassical growth model that incorporates investment-specific technology (IST) modifying capital investment in the law of motion of capital and bifurcates productivity into human capital and total factor productivity (TFP) in the production function. We focus on the role of changes in the quality-adjusted price of investment goods on China’s growth by comparing the effects of IST and human capital on the decomposition of US and Chinese productivity. The results show that both human capital and IST play an important role in the decomposition of US TFP. For China, human capital accounts for an increasingly higher portion of Chinese TFP for the period 1952–2009; however, IST contributes to the explanation of TFP only after the 1979 reforms. The analysis is extended by considering the impact of IST in the consumer’s investment decision and by projecting both countries’ GDP while modelling unbalanced Chinese growth using catch-up. Our model predicts that the Chinese economy will surpass the US economy in 2024.     

Distributional Effects of Public Education in an Economy with Public Pensions*

We study how the allocation of government expenditures between two major outlays—education and pay‐as‐you‐go social security—affects human capital distribution in an economy with heterogeneous agents. We consider an overlapping generations economy where the government maintains both programs, and allocates tax revenues to finance them. In our model, human capital is one of the factors of production. It is itself produced as a combined result of public inputs and private inputs. Parents' decisions to invest time and material resources in education of their children are motivated by altruism, heterogeneous in its strength across the population, which leads to heterogeneity of incomes. We investigate the effect of an increase in public funding for education on the human capital distribution. We show that in this framework, contrary to some earlier results, increased spending on public education may lead to higher inequality. Our results depend crucially on the interaction of education funding with the social security budget and on the elasticity of substitution in the learning technology.     

Human capital and economic growth: A macroeconomic model for Pakistan

The paper presents a small macro model for Pakistan economy focusing the impact of investment in human capital on the key macroeconomic variables. The demand side is modeled along the Keynesian lines while the supply side is modeled as per neoclassical theory of production. This framework allows analyzing the effects of investment in human capital on supply side variables (like labor, physical and human capital) and demand side variables (like consumption and investment) at the same time.The model has small forecasting horizon in which three alternative scenarios regarding government spending on education are evaluated from 2012 to 2016. The model shows that the link between human capital and labor market is weak however a change in education spending affects output through enhancing productivity and through multiplier-accelerator principle. Though the model is small in size and forecasting horizon, it can help in evaluating the future paths of key macroeconomic variables associated with education spending.     

Human capital and economic growth in an overlapping generations model

The paper describes an aggregative optimal growth model, the essential features of which are that individuals are mortal and obtain their labor skill through educational training. The process of human capital formation is described by an education function which relates the pass rate to the educational expenditure per student. Two alternative scenarios, private and public education regimes, are separately investigated. Under the decentralized education regime, risk-neutral individuals borrow to finance their education when young. Under the centralized education regime, the cost of education is financed by taxes imposed on the workers in the economy, and the central government maximizes a long-term social target function. The equilibria of both regimes are analyzed and various comparative static results derived. It is shown that educational investment in a decentralized equilibrium is higher than that in the centralized steady state. We also establish that there exists a time discount rate at which or above which the decentralized per capita consumption exceeds that of the centralized steady state whereas for time rates of discount sufficiently near the population growth rate, the above result will be reversed.     

资产定价泡沫对经济的影响

本文采用具有技术进步和随机实质资本投资收益率的跨时迭代模型 ,从理论上分析了资产定价泡沫对经济的影响 ,同时对我国转轨时期经济的动态效率进行了实证研究。结果显示 :我国转轨时期经济正从动态无效向动态有效转化 ,在实质资本收益率确定的情况下 ,适当的资产定价泡沫 (如果存在的话 )对我国经济有益 ,会增加人均消费 ,加快我国经济向动态有效转化 ,使资源配置达到Pareto最优 ;在实质资本收益率随机的情况下 ,资产定价泡沫对经济的影响是不确定的 ,其效果依赖于个人对未来投资实质资本收益率的预期 ,因而加强投资者对未来实质资本投资的收益率持乐观态度的信心是至关重要的。     

Investment in vintage capital

We study an economy in which firms use labor and various vintages of capital in a CES production function for the final good. We explicitly solve for the investment in capital of a given vintage as a function of its age, and for the resulting stocks of capital. We show that for reasonable parameter values, inverted-U-shaped dynamics of investment and S-shaped dynamics for capital arise in equilibrium. We view the model as an explanation of intra-firm adoption lags, i.e., the observation that firms adopt innovations over time and not instantaneously.     

The Uzawa–Lucas model without scale effects: theory and empirical evidence

Numerous cross-sectional tests have been performed to evaluate the predictions of recent growth theories such as the Uzawa–Lucas growth model. In a series of papers and in his book, Jones [Q. J. Econ. 110 (1995a) 495; J. Political Econ. 103 (1995b) 759; The upcoming slowdown in US economic growth, Stanford University, Stanford] has shifted the attention toward the time series predictions of endogenous growth models. By contrasting endogenous growth models with facts, one is frequently confronted with the prediction that levels of economic variables, such as human capital, imply lasting effects on the per capita growth rate of an economy. As stylized facts show, measures of education or human capital in most advanced countries have dramatically increased, mostly more than the gross domestic production (GDP). Yet, the growth rates have roughly remained constant or even declined. In this paper we modify the growth effects of education and human capital in our variant of the Uzawa–Lucas growth models and test the model using time series data for the US and Germany from 1962.1 to 1996.4. We consider two versions. In the first, we treat the time spent for education as exogenously given and we neglect the external effect of human capital. In the second version, the time spent for education is an endogenous variable and the external effect of human capital is taken into account. Our results demonstrate that the model is compatible with the time series for aggregate data in those countries. The parameters fall into reasonable ranges.     

TIME‐VARYING UNCERTAINTY AND THE CREDIT CHANNEL

We extend the Carlstrom and Fuerst (American Economic Review, 1997, 87, pp. 893–910) agency cost model of business cycles by including time‐varying uncertainty in the technology shocks that affect capital production. We first demonstrate that standard linearization methods can be used to solve the model yet second moments enter the economy's equilibrium policy functions. We then demonstrate that an increase in uncertainty causes, ceteris paribus, a fall in investment supply. We also show that persistence of uncertainty affects both quantitatively and qualitatively the behaviour of the economy.     

The Effect of Better Information on Income Inequality

We consider an OLG economy with endogenous investment in human capital. Heterogeneity in individual human capital levels is modelled by a distribution of innate ability across agents. This distribution is common knowledge but, at young age, no agent knows his/her ability. The production of human capital depends on each individual’s investment in education. This investment decision is taken only after observing a signal which is correlated to his/her true ability, and which is used for updating beliefs. Thus, a better information system affects the distribution of human capital in each generation. Assuming separable and identical preferences for all individuals, we derive the following results in equilibrium: (a) If the relative measure of risk aversion is less (more) than 1 then more information raises (reduces) income inequality. (b) When a risk sharing market is available better information results in higher inequality regardless of the measure risk aversion. We are grateful to Alex Cukierman, Zvi Eckstein, Yona Rubinstein and Daniel Tsiddon. An anonymous referee made extremely useful comments and suggestions. Financial support from the German-Israeli Foundation for Scientific Research and Development (GIF) is gratefully acknowledged.     

Growth and optimal policies in an R&D-growth model with imperfect international capital mobility

In this paper, we examine the effects of international capital mobility on innovation, growth, and optimal growth policies in a small open economy with R&D-driven growth. Households can borrow funds from an imperfect international capital market to finance their investment in R&D firms. We show that the economy can reach a higher growth rate if international capital is more mobile. This result is consistent with recent empirical findings. Moreover, we show that the common growth-enhancing policies, such as patent protection and the R&D subsidies, have an additional negative welfare effect when households can access the international capital market. Accordingly, the optimal patent protection and R&D subsidy should be smaller when the degree of international capital mobility is higher.     

How to Achieve the Take-off into Sustained Growth: A Case Study for Slovenia

In this paper, we show that successful policy aimed at enhancing economic growth in the long run must be based on policies which improve human capital and technological progress. This is applied to Slovenia, a small open economy in the European Union and the Euro Area. In particular, we investigate how fiscal policies should be designed to support economic growth without violating the European Union Stability and Growth Pact. Using the SLOPOL10 model, an econometric model of the Slovenian economy, we analyse the effects of different fiscal policies in Slovenia over the next few years by means of simulations. The fiscal policy multipliers of the Slovenian economy are small and short-lived, which renders demand-side expansionary fiscal policies inappropriate as a means of achieving higher growth. However, if an increase in government expenditures directly related to technological progress is implemented (such as better funding for tertiary education or subsidies for firms’ investments in research and development), this can trigger a path of output which is permanently higher than that of the baseline simulation. Reducing income taxes and social security contributions has strong positive effects on employment. This result shows that the key to prosperity and sustained growth is investment in human capital and technology, also for a small open economy like Slovenia.     

Liquidity constraint, increasing returns and endogenous fluctuations

In this paper we show that local indeterminacy, endogenous fluctuations, and periodic and quasi-periodic orbits may emerge in a one-sector infinite-horizon competitive economy where (1) at the end of each period agents must hold a share of their wealth in the form of money and (2) technology exhibits increasing returns to scale. In contrast to other contributions on this subject, we find that such phenomena occur when consumption is intertemporally substitutable and labour is supplied inelastically. The scope for indeterminacy depends basically on the fact that, in view of the financial constraint, total returns on investment represent a weighted average of capital marginal productivity and deflation, and the latter is positively related to the rate of growth of capital.     

Consumption externalities with endogenous time preference

This paper shows that in a model with inelastic labor supply, consumption externalities have impacts on stationary consumption and capital. The key element in observing the effects of consumption externalities on stationary consumption and capital is the endogeneity of the time preference rate, which depends on future-oriented resources rather than on private consumption. We conclude that when individuals experience jealousy, they become more impatient, leading to a lower level of capital stock and a higher level of consumption relative to those of the social optimum, while when they experience admiration, these relationships are reversed. We examine an optimal tax policy that replicates the socially optimal path in the centrally planned economy. Finally, using numerical analysis we explore how this economy evolves through time.