Comment on “σ: The long and short of it”

I comment on some of the issues discussed by Robert Chirinko (Chirinko, R.S., 2008. σ: The long and short of it. Journal of Macroeconomics 30 (2), 671-686). I also offer some additional evidence and discuss the theoretical implications of the empirical findings regarding σ.     

Comment on “Unwrapping some euro area growth puzzles: Factor substitution, productivity and unemployment”

This paper estimates the factor elasticity of substitution of the aggregate production function and then uses these estimates to resolve two puzzles relating to the Euro Area. The paper is novel in three ways: First it uses the CES production technology in the empirical strategy to understand real world economic phenomena; second it uses a frontier empirical methodology; and third it uses a new dataset.     

The role of factor substitution in the theory of economic growth and income distribution: Two examples

While much empirical evidence suggests that the Cobb–Douglas production function may be a reasonable benchmark for aggregate analysis, we argue that the practice, particularly prevalent in contemporary growth theory, of adopting the Cobb–Douglas technology, may lead to misleading implications. Using two examples, we show that key implications of the models are highly sensitive to small deviations of the elasticity of substitution from unity. The first employs the standard neoclassical model and emphasizes the sensitivity of the speed of convergence to small changes in the elasticity of substitution. This in turn has profound consequences for wealth and income distribution. The second deals with foreign aid and highlights how the relative merits of “tied” versus “untied” aid are also very sensitive to the elasticity of substitution.     

Comment on “The endogenous aggregate elasticity of substitution for a small open economy”

This note applies the approach of Miyagiwa and Papageorgiou [Miyagiwa, K. and Papageorgiou, C., 2007. Endogenous aggregate elasticity of substitution. Journal of Economic Dynamics and Control 31, 2899–2919] to provide simple frameworks for endogenizing the aggregate elasticity of substitution between capital and labor for a growing small open economy.     

Testing the balanced growth hypothesis: evidence from China

We investigate whether China’s experience during 1952–2004 supports the balanced growth entailment of the neoclassical growth model. Estimation of long-run relations among output, consumption and investment for the full period reject the balanced growth hypothesis for both the national and regional economies. When the economic reforms of the late 1970s are modelled as a structural break by the methods of Johansen et al. (Economet J 3(2):216–249, 2000) and Perron (Econometrica 57(6):1361–1401, 1989), we find some evidence of balanced growth in the pre-break period but in the post-break period the ‘great ratios’ are trend-stationary, precluding fully balanced growth, though permitting a common (stochastic) productivity trend.      

Macroeconomic effects of an indirect tax substitution

We study an indirect tax reform in a general equilibrium model with imperfect competition for both the Cournot and the Free entry equilibria. We show that it is possible to attain a positive balanced budget multiplier by means of a substitution of specific by ad valorem taxation. Moreover, although any tax substitution causes higher prices and the flow up of firms in the long-run, the Free entry equilibrium output can increase with respect to that of the Cournot equilibrium. Finally, in contrast with the partial equilibrium, welfare decreasing tax reforms are likely to occur even when the balanced budget multiplier is positive.      

Capital theory and the origins of the elasticity of substitution (1932-35)

Elasticity of substitution was introduced into economics duringthe early 1930s. It was discovered independently by Hicks inThe Theory of Wages and by Joan Robinson in The Economics ofImperfect Competition, and then was the centre of a polemicinvolving Kahn and Sraffa, among others. The debate focusedon imperfect competition and capital-theoretical issues. Someelements of the 1950s and 1960s capital theory controversy,such as the idea of capital as a Giffen good or the difficultiesof measuring capital, were already discussed at this early stage.     

Elasticity of substitution and productivity, capital and skill intensity differences across firms

This paper, instrumented with six theorems, shows that differences between firms in labor productivity, capital intensity and relative demand for skilled labor can be explained by differences in the substitution parameters between capital, skilled and unskilled labor in the presence of skill biased technical change.     

Capital–skill complementarity and the immigration surplus

We build a neoclassical growth model with overlapping dynasties and capital–skill complementarities to evaluate changes in immigration policy. Calibrating the model using US data, we quantify the differential effects of skilled and unskilled immigration on factor returns and on the welfare of different sectors of the population. An influx of high-skilled immigrants lowers the wages of skilled workers, raises the wages of unskilled workers, and because of the relative complementarity between capital and skilled labor, substantially raises the rate of return to native-owned capital. By contrast, an influx of unskilled immigrants produces an opposite effect on wages, and has only a negligible effect on the return to capital. Because of capital–skill complementarity, an increase in the number of skilled immigrants generates an immigration surplus—the overall welfare benefit accruing to the native population—that is approximately ten times larger than the immigration surplus generated by an identical increase in the number of unskilled immigrants. This differential welfare effect is far higher than can be accounted for by the disparity between the productivities of each type of worker.     

Unwrapping some euro area growth puzzles: Factor substitution, productivity and unemployment

In this paper, we estimate a long run supply-side system incorporating a CES production function with time-varying factor-augmenting technical progress for the euro area over the period 1970–2005. We find that the elasticity of substitution lies below unity at 0.7, that labor-augmenting technical progress is dominant in the long run while capital-augmenting technical progress plays an important role in the interim period. Importantly, we also find evidence of a structural break in the pattern of biased technical progress towards the end of the 1990s. Our results help to solve two puzzles in Europe’s recent growth experience which differ markedly from the US experience. The first is related to the effects of the IT boom in the 1990s on productivity growth in Europe. The second puzzle concerns the changes in the “Okun’s law” relationship, linking growth to the reduction of unemployment, which are observable in Europe since the late 1990s.     

Long-run relationships between labor and capital: Indirect evidence on the elasticity of substitution

This paper proposes an indirect method for making empirical inference on the elasticity of substitution between capital and labor. The idea is that estimates of the elasticity may be retrievable from theory derived behavioral equations, by conducting comparative statics with respect to this parameter. This approach is readily applicable to more realistic models than those which are commonly used to derive estimates of the substitution elasticity. It is demonstrated that the conventional approach does not yield sensible estimates on quarterly Finnish manufacturing data. By applying the indirect method, a long-run empirical relationship is found that is consistent with an elasticity of substitution below one.     

Elasticity of substitution and growth: normalized CES in the Diamond model

Summary. It is often asserted that the more substitutable capital and labor are in the aggregate production the more rapidly an economy grows. Recently this has been formally confirmed within the Solow model by Klump and de La Grandville (2000). This paper demonstrates that there exists no such monotonic relationship between factor substitutability and growth in the Diamond overlapping-generations model. In particular, we prove that, if capital and labor are relatively substitutable, a country with a greater elasticity of substitution exhibits lower per capita output growth in transit and in steady state. Received: October 27, 2001; revised version: February 25, 2002     

Capital–skill complementarity and inequality: A sensitivity analysis

Krusell et al. in [Krusell, P., Ohanian, L., Ríos-Rull, J.V., Violante, G.L., 2000. Capital–skill complementarity and inequality: A macroeconomic analysis. Econometrica 68 (5), 1029–1053] analyzed the capital–skill complementarity hypothesis as an explanation for the behavior of the US skill premium. We refit Krusell et al.'s [Krusell, P., Ohanian, L., Ríos-Rull, J.V., Violante, G.L., 2000. Capital–skill complementarity and inequality: A macroeconomic analysis. Econometrica 68 (5), 1029–1053] model with two alternative capital equipment price series: One proposed by Greenwood et al. [Greenwood, J., Hercowitz, Z., Krusell, P., 1997. Long-run implications of investment-specific technological change. Amer. Econ. Rev. 87 (3), 342–362] and the official, revised National Income and Product Accounts (NIPA) data. We find that capital–skill complementarity is preserved, but other results were sensitive to the data used. Specifically, the fit of the model was similar to Krusell et al.'s [Krusell, P., Ohanian, L., Ríos-Rull, J.V., Violante, G.L., 2000. Capital–skill complementarity and inequality: A macroeconomic analysis. Econometrica 68 (5), 1029–1053] using the NIPA data, but not the Greenwood et al. [Greenwood, J., Hercowitz, Z., Krusell, P., 1997. Long-run implications of investment-specific technological change. Amer. Econ. Rev. 87 (3), 342–362] data. Also, both series produce estimates of the elasticity of substitution between unskilled labor and equipment that are substantially larger than Krusell et al.'s [Krusell, P., Ohanian, L., Ríos-Rull, J.V., Violante, G.L., 2000. Capital–skill complementarity and inequality: A macroeconomic analysis. Econometrica 68 (5), 1029–1053] estimates.     

Pollution,abatement and balanced growth

The analysis of endogenous growth models with pollution often concentrates on steady state trajectories, under the assumption that the steady state is in some sense stable. In the present note we provide examples showing that this issue should be dealt with carefully. We use the Rebelo Ak model augmented with a stock of pollutants causing a negative externality. It is found that optimal growth is not necessarily balanced (contrary to the outcome of the standard Rebelo model). Moreover, the existence of the externality may affect long run optimal growth rates.The author is grateful to an anonymous referee for comments. All remaining errors are the author's sole responsibility.     

A quantitative reassessment of the finance–growth nexus: evidence from a multivariate VAR

The long-run relationship between financial development and economic growth is examined in a multivariate vector autoregression (VAR) framework using 10 sample countries. Difficulties surrounding the cross-country regressions and bivariate time series studies are outlined. The long-run financial development and output relationships are identified in a cointegrating framework through tests of over-identifying restrictions. We find bi-directional causality between financial development and economic growth in all the sample countries, conclusions that stand distinct from those in the existing empirical literature. We attribute our findings to: (i) analysis of a higher dimensional system, (ii) a new method of identifying the long-run economic relationships, and (iii) a new approach to long-run causality testing.     

The effect of economic freedom on growth revisited: New evidence on causality from a panel of countries 1970–1999

Does economic freedom cause economic growth or does causality run in the reverse direction? And do all the constituent parts of economic freedom exert a causal impact on economic growth or do some freedoms matter more than others? In order to answer these questions, this paper conducts a series of Granger causality tests using panel data for the period 1970–1999. In addition, the paper discusses a number of model specification issues, e.g. lag-length selection and the importance of intervening variables. The results suggest that some (but not all) aspects economic freedom affect economic growth and investment. On the other hand, there is only weak evidence that growth affects economic freedom.     

Income and wealth distribution in a simple model of growth

Summary. This paper studies a deterministic one-sector growth model with a constant returns to scale production function and endogenous labor supply. It is shown that the distribution of capital among the agents has an effect on the level of per-capita output. There exists a continuum of stationary equilibria with different levels of per-capita output. If the elasticity of intertemporal substitution is large, a higher output level can be achieved when income inequality is great, that is, when the income distribution is strongly dispersed. If the elasticity of intertemporal substitution is low, the reverse relation holds. The paper shows that countries with identical production technologies and identical preferences may have different GDP levels because wealth is distributed differently among their inhabitants. Received: January 29, 1999; revised version: October 4, 1999     

中国经济增长的特征、可持续性与潜在增长率估算:一个综述

在本文通过对中国经济增长的表现特征、可持续性和潜在增长率估算三方面的理论综述,进一步论述了中国经济增长的发展脉络,并在此基础上提出研究中国经济增长理论尚需改进的空间.     

Efficiency, depth and growth: Quantitative implications of finance and growth theory

We develop a parsimonious finance and endogenous growth model with microeconomic frictions in entrepreneurship and a role for credit constraints. We demonstrate that though an efficiency–growth relation will always exist, the efficiency–depth–growth relation may not. This has implications for the connection between the theory and empirics of finance and growth. We go on to ask whether the model can account for some historical trends in growth, financial depth and financial efficiency for the UK over the period 1850–1913. The best model of finance and growth is one that departs from the standard depth–growth link.