IDIOSYNCRATIC AND AGGREGATE RISKS,INEQUALITY AND GROWTH

The paper disaggregates productivity shocks at a firm level into idiosyncratic and aggregate risks, and studies their impacts on inequality, growth and welfare. It develops a growth model with human capital and incomplete insurance and credit markets that provides a closed‐form solution for income inequality dynamics. We find that uninsured idiosyncratic risks are the most important determinants of inequality, growth and welfare. They are the source of nondegenerate wealth distribution. A lower weight of these shocks leads to lower steady‐state inequality, higher growth and welfare. A redistribution of income that serves as social insurance against such risks increases welfare and decreases inequality. But, it also decreases growth by distorting individual consumption and saving decisions.     

Escaping Poverty: Risk-Taking and Endogenous Inequality in a Model of Equilibrium Growth

Recent macroeconomic models of income distribution generate equilibria characterized as poverty traps. These models specify a production indivisibility such that, due to problems of asymmetric information in credit or capital markets, poor agents are never able to acquire the resources necessary to overcome the indivisibility. In the context of an equilibrium growth model, this paper demonstrates that faced with such constraints, poor, risk-averse agents have incentives to voluntarily take on risk in the hopes of exiting poverty. Each period they remain in poverty, they sacrifice a small amount of current consumption to pool resources for this risky activity. Risk-taking, economic mobility, and the distribution of income are generated endogenously. Furthermore, beginning from identical endowments, “initial” inequality also emerges endogenously. It is shown that voluntary risk-taking eliminates many potential steady-state equilibria of this and other models—those that exhibit individual poverty traps. All agents (or dynasties) expect to escape at some future date, perhaps after an extended spell in poverty.     

From Physical to Human Capital Accumulation: Inequality and the Process of Development

This paper develops a growth theory that captures the replacement of physical capital accumulation by human capital accumulation as a prime engine of growth along the process of development. It argues that the positive impact of inequality on the growth process was reversed in this process. In early stages of the Industrial Revolution, when physical capital accumulation was the prime source of growth, inequality stimulated development by channelling resources towards individuals with a higher propensity to save. As human capital emerged as a growth engine, equality alleviated adverse effects of credit constraints on human capital accumulation, stimulating the growth process.     

Firm heterogeneity,credit constraints,and endogenous growth

This paper is in general concerned with the role of firm heterogeneity for economic growth. We focus on heterogeneous productivity in innovation and credit constraints of firms within a semi-endogenous growth model reflecting recent empirical findings on firm heterogeneity. Our model allows for an explicit solution for transitional growth and for the balanced growth path level of innovations or ideas. The model predicts an optimal degree of heterogeneity in the presence of an endogenous firm distribution. This enables us to draw inference about the impact of key policy parameters of the model on these quantities and to draw conclusions about firm and capital market related policies.     

Endogenous Growth in a Dependent Economy with Traded and Nontraded Capital

The equilibrium growth path for this economy depends upon the relative sectoral capital intensities of the two production functions. If the nontruded sector is relatively intensive in traded capital , both the relative price of nontraded output and the price of installed capital always remain at their respective steady-state levels. Traded capital and aggregate wealth are always on their respective steady-state growth paths. Nontraded capital undergoes transitional dynamics, ultimately converging to the growth rate of traded capital and an equilibrium ratio of traded to nontraded capital. If the sectoral intensities are reversed, both asset prices will follow transitional adjustment paths.     

Lotteries, inequality, and market imperfection: Galor and Zeira go gambling

This paper analyzes a simple extension to the work of Galor and Zeira (Rev Econ Stud 60:35–52, 1993). Allowing for endowment lotteries alters the dynamics of the model fundamentally: the poverty trap found in the original work vanishes for a wide class of parameters. Moreover, it turns out that in the presence of lotteries the relationship between the severity of credit market imperfections and long run aggregate income may be non-monotonic. We identify cases such that reducing the scope for moral hazard on the capital market decreases aggregate utility and may create a poverty trap and persistent income inequality in the economy. I am grateful for many helpful comments to Hans-Peter Grüner and an anonymous referee and for valuable discussion to Stefan Behringer and Petr Zemčík, and to seminar participants at Mannheim University and ENTER Jamboree 2003, Tilburg. Financial support from DFG is gratefully acknowledged.     

Ramsey Equilibrium in a Two-Sector Model with Heterogeneous Households

We prove an existence theorem for a stationary perfect foresight equilibrium under borrowing constraints in a two-sector model with infinitely lived heterogeneous agents. The most patient agent holds all the capital in this solution. We also show that if the capital goods sector is capital intensive and capital income is increasing in the aggregate capital stock, then the aggregate capital stock eventually is monotonic and converges to the steady state stock. If the consumption goods sector is more capital intensive and capital income is increasing in aggregate capital we prove convergence to the steady state under more restrictive conditions. Periodic equilibria are shown to exist under weaker hypotheses. Journal of Economic Literature Classification Numbers: D52, D90, E13.     

An adjustment cost model of social mobility

We analyze herein the effects of the human capital adjustment cost on social mobility. Such an adjustment cost is modeled as a rising marginal cost schedule for augmenting human capital. We use a general human capital technology, which disentangles the adjustment cost from the depreciation cost of the human capital. Missing credit markets prevent individuals from equalizing the initial differences in the human capital. We find that a higher adjustment cost for human capital acquisition slows down the social mobility and results in a persistent inequality across generations. On the other hand, a higher rate of human capital depreciation could increase mobility via a positive effect on new investment. The quantitative analysis of our model suggests that the human capital adjustment cost is nontrivial to account for the observed persistence of inequality and social mobility. In addition, we find that the government redistribution policy could account for the large observed variation in estimates of social mobility.     

Income inequality and economic incentives: Is there an equity–efficiency tradeoff?

What is the basis and direction of relationship between income inequality and economic growth? The equity versus efficiency dictum which predicts a positive relationship between inequality, capital formation, and real GDP growth—emphasizes the importance of economic incentives. Subsequently, this was challenged by the incomplete markets and political outcomes theories, because of increasing empirical evidence of an inverse relationship between income inequality and economic growth. In this paper, we offer a further explanation of the basis and nature of the inequality–capital–growth relationship which emphasizes the divergence between savings and investment. For the United States over the period 1970–2006, we have found no empirical evidence for the support of the equity versus efficiency hypothesis—that economic incentives are necessary for capital accumulation and growth. In fact, it was discovered that in most cases, inequality has had little or no impact on movements in the US capital stock, net investment, and consequently, economic growth. Another interesting finding of this study was that inequality exhibits hysteresis—implying that any positive shock, such as the dot-com boom, can lead to persistent and enduring increases in inequality.     

Why progressive redistribution can hurt the poor

Recent macroeconomic research discusses credit market imperfections as a key channel through which inequality retards growth: With convex technologies, progressive transfers increase aggregate output because marginal returns become more equalized across investment opportunities. We argue that this reasoning may not hold in general equilibrium. Since the investment functions are concave in wealth, reducing inequality increases capital demand and the interest rate. Hence, through the impact on capital costs, shifting wealth from the rich to the middle class depletes the poorest investors' access to credit. But because the poor face the highest marginal returns, the net effect on output may be negative. We find, however, that redistributing towards the bottom-end of the distribution has a clear positive impact. Finally, we discuss the implications of our theoretical findings for future empirical research.     

Variety of products,public capital,and endogenous growth

This paper develops an extension of the endogenous growth model with variety expansion presented in Romer [Romer, P.M., 1990. Endogenous technical change, Journal of Political Economy 98, part 2, S71–S102] by considering public capital accumulation. Characterizing the transitional dynamics, the growth rate of consumption traces (and available number of intermediate goods also might trace) an S-shaped converging path to the equilibrium growth rate, similar to a logistic growth curve, if the intensity of public capital is sufficiently high. We also show that public investment enhances economic growth because it stimulates demand for intermediate goods and raises the market interest rate.     

Deviant generations, Ricardian equivalence, and growth cycles

Two equilibrium possibilities are known to obtain in a standard overlapping-generations model with dynastic preferences: either the altruistic bequest motive is operative for every generation (in which case, Ricardian equivalence obtains) or it is not, for any generation. Dynamic equilibria, where the bequest motive is occasionally operative, cannot emerge. This paper studies bequest-giving behavior and out-of-steady-state bequest and growth dynamics in a Ak model with intra- and inter-generational consumption externalities. These externalities, by their very presence, do not destroy Ricardian equivalence. They may, however, give rise to deviant generations—generations that do not leave a bequest having received an inheritance, and vice versa—and that seals the fate for Ricardian equivalence. Consumption externalities may also generate interesting indeterminacies and endogenous growth cycles that did not exist otherwise.     

Superneutrality, indeterminacy and endogenous growth

In this paper, we explore the possibility of having money as a source of indeterminacy in endogenous growth models. We adopt the simple Ak model of endogenous growth to be the main analytical vehicle whose balanced growth paths do not display local indeterminacy. Money is introduced via either a general cash-in-advance (CIA) constraint or a pecuniary transactions costs (PTC) technology. It is shown that local indeterminacy of the dynamics is due to the presence of an intertemporal substitution effect on capital accumulation that works against and dominates the conventional inflation effect of Tobin [1965, Money and economical growth. Econometrica 33(4), Part 2, 671]. If money is growth-rate superneutral, then the intertemporal substitution effect is absent so that local indeterminacy cannot occur. Finally, the strength of the intertemporal substitution effect depends positively on the intertemporal elasticity of substitution in consumption.     

Economic Reforms and Gender-Based Wage Inequality in the Presence of Factor Market Distortions

A simple three-sector general equilibrium model has been developed with both male and female labour and factor market distortions. The effects of different liberalized economic policies have been examined on the gender-based wage inequality. The analysis finds that credit market reform and tariff reform produce favourable effects on the wage inequality while the liberalized investment policy becomes counterproductive. The basic model has been extended to treat domestic capital differently from foreign capital. In the extended model, all of the above results hold. Additionally, it has been found that domestic capital formation is likely to produce a favourable impact on the gender wage inequality. These results have important policy implications for a small open developing economy.

     

Use of borrowed start-up capital and micro enterprises in Mexico: existence of liquidity constraints

Using the National Survey of Micro enterprises (ENAMIN, Encuesta Nacional de Micronegocios) data I test for the presence of liquidity constraints for obtaining start-up capital in Mexico’s credit markets (formal and informal). I use the bivariate probit model with partial observability to recognize two important decisions in the credit allocation process: first, whether an owner of a micro enterprise wants to apply start-up loan and, second, whether financial institutions decide to provide or not to provide the loan. Finally, I compare the results from this model to those of a simple probit model that looks at whether a micro enterprise owner gets funding or not (i.e. the probit model implicitly assumes that no liquidity constraints exist). The findings of this study show that there is substantial heterogeneity in the socioeconomic background of borrowers, as well as in the sources for start-up capital employed by micro enterprises in Mexico. Moreover, there is clear evidence of liquidity constraints in the market for start-up capital that could hinder the creation and growth of small enterprises. Applying the findings of the study, policy makers could fundamentally increase the effectiveness in establishing an economic environment that fosters growth.

Human capital distribution, growth and convergence

This paper studies the dynamic relationship between distribution and endogenous growth in an overlapping generations model with accumulation of human and physical capital. It is shown how human capital can determine a relationship between per capita growth rates and inequality in the distribution of income. Family background effects and spillovers in the transmission of human capital generate dynamics in which aggregate variables depend not only on the stock, but also on the distribution of human capital. The evolution of this distribution over time is then characterized under different assumptions on private returns and the form of the externality in the technology for human capital. Conditions for existence, uniqueness and stability of a constant growth equilibrium with a stationary distribution are derived. Increasing returns, idiosyncratic abilities and the possibility of poverty traps are explicitely characterized in a closed form solution of the equilibrium dynamics, showing the role played by technology and preferences parameters.     

Taylor rules: Consequences for wealth and income inequality

This paper compares the consequences of “active” vs. “passive” Taylor rules for wealth and income inequality. Since the distinction is operative only along transitional paths, we compare the implications for two forms of government expenditure that generate such transitions. Our results confirm that the contrasting effects obtained previously for the aggregate economy have significant distributional consequences. For an active Taylor rule, whether the government increases its expenditure on consumption, or productively, wealth inequality will increase. Expenditure on the two public goods yields divergent paths for income inequality. Government consumption expenditure raises income inequality; productive government expenditure reduces it. If the Taylor rule is passive, an increase in either form of government expenditure reduces wealth inequality initially and over time. Income inequality initially increases, but declines over time, although remaining above its previous steady-state level.     

A Post-Keynesian Response to Piketty's ‘Fundamental Contradiction of Capitalism’

In Capital in the Twenty-First Century, Thomas Piketty presents a rich set of data that deals with income and wealth distribution, output-wealth dynamics and rates of return. He also proposes some ‘laws of capitalism’. At the core of his argument lies the ‘fundamental inequality of capitalism’, an empirical regularity stating that the rate of return on wealth is greater than the growth rate of the economy. This simple construct allows him to conclude that increasing wealth (and income) inequality is an inevitable outcome of capitalism. While we share some of his conclusions, we will highlight some shortcomings of his approach based on a Cambridge post-Keynesian growth-and-distribution model. The paper makes four points. First, r?>?g is not necessarily associated with increasing inequality in functional distribution. Second, Piketty succumbs to a fallacy of composition when he claims that a necessary condition for r?>?g is that capitalists save a large share of their capital income. Third, post-Keynesians can learn from Piketty's insights about personal income distribution and incorporate them into their models. Fourth, we reiterate the post-Keynesian argument that a well-behaved aggregate production function does not exist and cannot explain income distribution.     

On poverty traps,thresholds and take-offs

Recent studies on economic growth focus on persistent inequality across countries. In this paper we study mechanisms that may give rise to such persistent inequality. We consider countries that accumulate capital in order to increase the per capita income in the long run. We show that the long-run growth dynamics of those countries can generate a twin-peak distribution of per capita income. The twin-peak distribution is caused by (1) locally increasing returns to scale and (2) capital market constraints. These two forces give rise to a twin-peaked distribution of per capita income in the long run. In our model investment decisions are separated from consumption decisions and we thus do not have to consider preferences. Empirical evidence in support of a twin-peak distribution of per capita income is provided.     

Credit in a Random Matching Model with Private Information

We consider a random matching model where agents have complete access to each others' histories. Exchange is motivated by risk sharing, given random unobservable incomes. There is capital accumulation and an endogenous interest rate. The key feature of this environment is that information is mobile across locations, while there are frictions associated with transporting goods. Optimal allocations in the dynamic private information environment resemble real-world credit arrangements in that there are credit balances, credit limits, and installment payments. The steady state has the property that there is a limiting distribution of expected utility entitlements with mobility and a positive fraction of agents who are credit constrained.Journal of Economic LiteratureClassification Numbers: D8, E1.