Heterogeneous productivity shocks,elasticity of substitution and aggregate fluctuations

We use a Dixit-Stiglitz setting to show that aggregate productivity fluctuations can be generated through changes in the dispersion of firms’ productivity. When the elasticity of substitution among goods is larger than one, an increase in the dispersion raises aggregate productivity because firms at the top of the distribution produce most of output. When the elasticity is smaller than one, an increase in the dispersion reduces aggregate productivity because firms at the bottom of the distribution use most of inputs. We use individual firm level data from Spanish manufacturing firms to test the relationship between the dispersion of firms’ productivity and aggregate productivity. The estimated coefficients are consistent with the predictions of the model: we find that an increase in the coefficient of variation of firms productivity of 1% increases aggregate productivity by 0.16% in sectors with an elasticity of substitution larger than one while the same increase in the standard deviation reduces aggregate productivity by 0.36% in sectors with an elasticity of substitution smaller than one.     

中国的资本回报率有多高?-年份资本视角的宏观数据再估测

本文在从年份资本理论视角讨论投资、折旧和资本积累的基础上重估中国1993—2007年的资本回报率。结果显示,本文估测的税后名义资本回报率在8.0%到13.8%之间,税后实际资本回报率在6.9%到12.9%之间,明显低于现有结论。资本的异质性与年份效应导致高估折旧率、人为低估投资增长和资本存量,进而高估资本回报率。资本回报率的长期趋势由投资来源和增长扩张模式所决定,近年来资本回报率上升的主要原因是技术进步导致资本份额上升。高估资本回报率会误判要素价格政策的调整空间和效果,资本回报率水平不足以判断投资是否过度,中国的高投资驱动经济增长模式的可持续性值得深入讨论。     

STOCKS AND DEPRECIATION OF HUMAN CAPITAL: NEW EVIDENCE FROM A PRESENT-VALUE PERSPECTIVE

Responding to a perceived growing interest in human wealth estimates, this paper offers a framework for measuring the aggregate stock of human capital and then implements the procedure for the United States male population age 14 to 75. Unlike previous estimates of human wealth that are based upon historical or resource costs, these estimates measure the capital stock as the discounted resent-value of expected lifetime returns. In the estimation, returns are equated with earnings data from the 1970 U.S. Census 15 percent Public Use Sample for out-of-school males, adjusted for employment and survival probabilities, adjusted for an assumed exogenous growth in future earnings, and discounted at 7.5 percent.
We provide cross-sectional estimates of individual stocks of human capital by age and educational attainment, as well as expected lifetime wealth profiles for individuals by level of education. These individual profiles can be used to obtain direct estimates of age-specific depreciation which suggest human capital is subject to significant and prolonged appreciation before nearly straight-line depreciation begins around middle age. This finding is all the more significant since resource-cost estimates of human capital which must assume a depreciation pattern to obtain stocks have always imposed a much faster rate much sooner.
Finally, an aggregate estimate of the stock of human capital for all males is supplied and its sensitivity to the choice of the discount rate, tax laws, and expected exogenous growth is analyzed. This seemingly-conservative stock estimate is then compared to a much lower resource-cost estimate offered recently by John Kendrick. A discount rate over 20 percent would be needed to equate the two measures. In trying to reconcile the two figures, we raise some new questions about the validity of both approaches for human capital accounting.     

The Output Contributions Of Computer Equipment And Personnel: A Firm-Level Analysis

This paper examines the output contributions of capital and labor deployed in information systems (IS) at the firm level during the period 1988–91 throughout the business sector, using two different sources of data on these inputs. Our production function estimates suggest that there are substantial excess returns to both IS capital and IS labor. Computer capital and labor jointly contribute, or account for, about 21 percent of output, although only about 10% of both capital and labor income accrue to IS factors. Although IS employees accounted for a very small share of total employment by 1986, IS employment growth is estimated to have made a larger contribution to 1976–86 output growth than non-IS employment, due to the very rapid growth (16% per annum) of IS employment. The estimated marginal rate of substitution between IS and non-IS employees is 6: one IS employee can be substituted for six non-IS employees without affecting output.     

Recursive equilibrium in endogenous growth models with incomplete markets

This paper analyzes the existence of recursive equilibria in a class of convex growth models with incomplete markets. Households have identical CRRA-preferences, production displays constant returns to scale with respect to physical and human capital, and all markets are competitive. There are aggregate productivity shocks that affect aggregate returns to physical and human capital investment (stock returns and wages), and there are idiosyncratic shocks to human capital (idiosyncratic depreciation shocks) that only affect individual human capital returns. Aggregate and idiosyncratic shocks follow a joint Markov process. Conditional on the aggregate state, idiosyncratic shocks are independently distributed over time and identically distributed across households. Finally, households have the opportunity to trade assets in zero net supply with payoffs that depend on the aggregate shock, but markets are incomplete in the sense that there are no assets with payoffs depending on idiosyncratic shocks. It is shown that there exists a recursive equilibrium for which equilibrium prices (returns) only depend on the exogenous aggregate shock variable (the wealth distribution is not a relevant state variable). Moreover, the allocation associated with this recursive equilibrium is identical to the equilibrium allocation of an economy in which households live in autarky and face both aggregate and idiosyncratic risk.I would like to thank for helpful comments Peter Howitt, Bob Lucas, Michael Magill, Tomo Nakajima, Herakles Polemarchakis, Martine Quinzii, Kevin Reffett, an anonymous referee, and seminar participants at various universities and conferences.     

DEPRECIATION, OBSOLESCENCE, AND THE MEASUREMENT OF THE AGGREGATE CAPITAL STOCK OF THE UNITED STATES 1900–1962

This paper is concerned with the sensitivity of estimates of the aggregate capital stock of the United States to the statistician's choice of depreciation method. The usual depreciation charge can be shown to include allowances both for physical deterioration and for obsolescence. If one interprets the gross stock as the stock of surviving assets, then the various net stocks defined by depreciation accounting may be interpreted as a revaluation of these assets by means of an index of embodied technical change. Estimates of the United States capital stock were generated under eight sets of assumptions. These estimates are compared with respect to level, trend, and implications for other aggregate statistical indicators. The conclusion is reached that the assumptions which define a country's stock of tangible capital are of considerably greater importance than has often been supposed.     

Another look at the linear q model: an empirical analysis of aggregate business capital spending with maintenance expenditures

Abstract .  The paper revisits the empirical investment literature, which has established that aggregate business fixed investment is not found to be related linearly to marginal or average Tobin's q . The theoretical background is extended here by developing a supply-side model where the depreciation rate of private capital is determined endogenously. The firm can either invest in 'new' capital, which adds directly to the existing capital stock at the presence of convex adjustment costs, or extend the durability of installed capital through maintenance expenditure, which affects its depreciation rate. The model shows that Tobin's q is then a positively related sufficient statistic for both components of aggregate capital expenditures. This central implication is tested empirically using aggregate time-series survey data from Canada on 'new' investment and maintenance expenditures covering the period 1956–93. The estimated relationships produce significant and plausible parameter estimates for the structural parameters of the q model.     

Evidence of public capital spillovers and endogenous growth in Taiwan

This study reaffirms the empirical evidence of public capital spillovers and endogenous growth by using data for the period 1966Q3–2012Q3 in Taiwan. Avoiding the use of a 100% depreciation rate for generating public and private capital stock series that is applied in some related studies, this study estimates these series by using disaggregate data of various investment assets and applying their individual depreciation rates, as calculated by Jorgenson and Stiroh (2000). The results show that, first, (per capita) output, private capital stock, and public capital stock cointegrated in the sample period. Second, the contribution of private capital to output is 50% higher than that of public capital. Third, in the presence of significant and sizeable public capital spillover effects, growth in Taiwan is strictly endogenous. Finally, the dynamic model with a cointegration equation helps in studying some sensible short-run properties of the model and bi-directional effects among variables.     

教育人力资本、健康人力资本与地区经济增长差异——基于中国省际面板数据的实证研究

在M-R-W增长模型框架下,将人力资本的内涵扩展至教育和健康两个方面。用教育收益率修正了教育人力资本指标,而健康则主要从投入角度加以测度。应用传统的固定效应模型和动态面板模型(DGMM)估计教育人力资本、健康人力资本对地区经济差异的影响。结果显示,人力资本促使全国省际间人均GDP增长出现明显的"俱乐部"收敛现象,而三大地区内部的经济增长则表现出条件收敛趋势。从教育人力资本产出弹性可以看出,东部地区经济增长的驱动力正从物质资本向人力资本方向转变。以每万人拥有床位数代表的健康人力资本促进了全国及区域范围内的经济增长。     

Dynamic factor demands and adjustment costs: An analysis of bell Canada's Technology

In this paper a dynamic model of production is estimated for Bell Canada. The dynamics arise from the costs of adjustment associated with capital expansion. Estimation results showed that there are significant adjustment costs. Thus, the hypothesis of long-run cost minimization is rejected. As Bell Canada increases its capital stock by $1, there are additional adjustment costs of $0.36. This result implies that Bell Canada minimizes the present value of production and adjustment costs which results in a short-run equilibrium position. Price, substitution and output elasticities are estimated. In the short-run the inputs are substitutes and the price effects are highly inelastic. Overshooting occurs with respect to labour and material demands in the short-run since the demand for capital responds very little to output expansion. Returns to scale are also estimated in this cost of adjustment model. Bell Canada exhibits increasing returns to scale initially and then decreasing returns such that on average there are constant returns to scale with a scale elasticity of 1.08.     

中国要素产出弹性估计

要素产出弹性是分析经济增长的绩效、特征与可持续性等问题的重要参数。我国改革开放以来要素产出弹性估计结果是:1978-2004年,资本的产出弹性平均为0.56,劳动的产出弹性平均为0.44,并且资本的产出弹性呈不断下降趋势,而劳动产出弹性呈不断上升趋势;东部地区的资本产出弹性高于中部地区,中部地区又高于西部地区;全要素生产率年均增长率在3.7%~3.9%之间。     

Capital depreciation allowances,redistributive taxation,and economic growth

Are capital depreciation allowances when coupled with capital income taxes good instruments for redistribution in the long run? In a simple two-agent-economy I find that accelerated depreciation is good for growth, but bad for redistribution. The opposite holds for capital income taxes. However, in a feedback Stackelberg equilibrium, where the government is the leader and the private sector the follower, the depreciation allowance is maximal in the long run, time-consistent optimum. This removes the accumulation distortion of capital income taxes. Furthermore, the latter, and so redistribution, is found to be generically nonzero in the time-consistent optimum, and depends on the social weight of transfers receivers, the pretax factor income distribution, the intertemporal elasticity of substitution and the time preference rate. Thus, accelerated depreciation allowances are an important indirect tool for redistribution. The tax scheme allows for a separation of “efficiency” and “equity” concerns for redistributive policies.     

Does Real Exchange Rate Depreciation Boost Capital Accumulation? An Intertemporal Analysis

This paper examines the investment‐enhancing effect of real exchange rate (RER) depreciation in a two‐sector small open economy model where a representative firm in the tradable sector maximises its discounted profit over an infinite planning period. In this framework, a one‐time, permanent, unanticipated depreciation in the RER leads to a higher steady‐state level of capital stock and investment. This consequently increases the optimal investment rate associated with an arbitrary level of capital stock as the saddle path shifts upwards. In the benchmark calibration, the investment‐enhancing effect of RER depreciation is sizeable. One per cent depreciation in the RER leads to an increase of 0.4444 per cent in the rate of capital accumulation.     

That elusive elasticity and the ubiquitous bias: Is panel data a panacea?

There is often assumed to be a unit elasticity of substitution between capital and labour. But estimates based on neoclassical capital demand equations frequently find a smaller value. Recent time-series work for the United States and Canada has suggested that, once the biases inherent in estimating cointegrating vectors are properly accounted for, the elasticity could indeed be close to 1. We investigate this possibility for the United Kingdom. First we use aggregate data and find that the estimated elasticity is in the neighbourhood of 0.4. We then exploit a unique industry-level dataset for the United Kingdom to try and further pinpoint our estimates. Estimates using dynamic panel data methods are close to our benchmark estimate using aggregate data, providing a robust statistical rejection of a unit elasticity in UK data.     

Three levels of education and the economic growth

The aim of this article is to solve the question how the three main stages of education contribute to the labour productivity growth in selected 125 countries in the period 1999–2014. The model is based on the neoclassical production function enhanced with human capital. The authors draw on the Penn World Tables 9.0 and UNESCO databases. The key benefit of this article is that human capital is characterized according to the returns to education from average number of years of formal schooling at the primary, secondary and tertiary level. Based on the panel data analysis, the contributions of capital and of the three levels of education to the growth of labour productivity are estimated. At the same time, the model allows to estimate the contribution of total factor productivity. The results of the analysis show that tertiary education has the strongest impact on labour productivity across the considered economies. At the same time, the breakdown of aggregate human capital by level of education leads to better clarification of the effects of human capital and physical capital on labour productivity. The conclusions also indicate a tendency towards rising returns to scale induced by the secondary and tertiary education.     

FDI,Industry Heterogeneity and Employment Elasticity in China

We investigate the different impacts of foreign direct investment (FDI) on employment elasticity with China's firm level data from 1998 to 2007. Our analysis shows that the inclusion of FDI does significantly affect firms' employment elasticity when facing wage, capital and output shocks. These effects vary dramatically across industries with different factor intensities and export status. Specifically, we find that non‐exporters with FDI tend to increase employment elasticity more than exporters when wage, capital input or output changes. However, FDI firms that are engaging in labor‐intensive production tend to have larger output and capital input elasticity of employment while smaller wage elasticity of employment. Our findings help to explain the contradicting results in existing literature and provide important references for China's policy makers to design proper industry policies towards FDI.     

Property rights and long-run capital

Proprietary capital falling into the public domain inefficiently decreases capital accumulation. As a consequence, the market steady state consumption underperforms the planner's by 4.6%–9.1% in a neoclassical infinitely-lived agents economy with constant returns to scale and standard empirically supported parameters. The results extend robustly to an overlapping generations economy, for which the gap is 10.5% when similarly parametrized. A policy decentralizing, in the latter, the planner's steady state instead consists of (i) subsidizing the rental rate of private capital at its depreciation rate, and (ii) taxing households' negative net position between, on the one hand, firm and depreciated capital ownership, and on the other, borrowing. Under this policy, the necessary tax rate on households' negative net position is smaller the bigger the absolute value of the latter and, hence, the bigger the corresponding monetary real balances held by households.     

Do German,Japanese, and U.S. export prices asymmetrically respond to exchange rate changes? Evidence from aggregate data

This article estimates the responses (elasticity coefficients) of the export price index to appreciation and depreciation of the nominal effective exchange rate using quarterly data (1973:1–1997:2) for Japan, Germany, and the United States. Cross-country comparisons of the elasticity magnitudes based on the statistically superior of the estimated models indicate that Japanese exporters, in the aggregate, have the highest tendency to dampen the effects of exchange rate fluctuations on the foreign currency export prices in both directions by adjusting their home currency prices. Intracountry comparisons provide some evidence of an asymmetric adjustment in export prices in the cases of Japan and Germany.     

HOW LARGE ARE LEARNING EXTERNALITIES?*

The quantitative features of human capital externalities are not fully understood. Although static externalities are estimated in some studies, learning externalities remain mostly unestimated. By calibrating a growth model, this article provides an estimate of learning externalities. The calibration uses an equilibrium condition that equates private returns on physical capital and human capital. The results suggest that sizable learning externalities exist, even in a conservative setup. The estimated social rate of return on human capital is 9.0%, compared to the private rate of return, 6.6%. Therefore, human capital externalities are an important source of economic growth.     

Benefits Of Communications Infrastructure Capital In U.S. Economy

In this paper we empirically estimate the contribution of the communications infrastructure to the growth of output and productivity at the dis-aggregate industry and at the aggregate economy levels. The estimated value of the marginal benefits or the shadow price of the communications infrastructure capital is positive in each of 34 industries representing the major industrial sectors of the U.S. economy. This effect captures network externality benefits and can be interpreted as a willingness to pay by each industry for communications infrastructure capital services over and above their direct payments for communications services. These results suggest that an increase in communications infrastructure capital services reduces cost in all the industries and as a consequence that of the entire economy. The relatively high value of estimated total marginal benefits for the aggregate economy indicates a high social rate of return to the investments in communications infrastructure.