The Measurement of Capital: Retrieving Initial Values from Panel Data

A common problem with micro‐level analysis is that capital stock data is missing. Typically, a feasible measure of capital is calculated by accumulating investment flows from an initial value of the capital stock. As the time dimension of most disaggregated data is rather short, the choice of this initial value can have significant effects on the resulting capital estimates. Most empirical studies impute the initial value using a single arbitrary proxy. In this paper, we propose a panel data framework that assigns weighting coefficients to multiple proxy variables. We conduct a series of Monte Carlo experiments to test the performance of the proposed method and apply the method to a U.S. manufacturing dataset. The results suggest that our method improves the approximation of the capital stock and thus in turn reduces the bias in the production function estimation.     

Labour market effects of public capital stock: evidence for the Spanish private sector

This paper provides a new rationale for the positive effect of public capital stock on employment and wages. We show that higher levels of public capital reduce wages along the wage equation and enhance employment due to the resulting larger elasticity of labour demand with respect to wages. The estimation of a structural model for the Spanish private sector reveals that this wage channel is empirically relevant. We use the estimated parameters to simulate the recent incidence of the ratio of public to private capital stock on the private sector economic performance. We find (i) sizeable effects on employment, capital stock and gross domestic product, and (ii) that the wage channel is particularly important for employment.     

EXCHANGE RATE,EXPECTED PROFIT AND CAPITAL STOCK ADJUSTMENT: JAPANESE EXPERIENCE

This paper empirically investigates the impact of exchange rate shocks on capital stock adjustment in the Japanese industry. An intertemporal optimization model is developed, in which an individual corporation in an open economy adjusts its capital stock according to Tobin's q. By explicitly considering the marginal q, the transmission mechanism from real exchange rate shocks to investment dynamics is examined based on the Vector Autoregressive model. Empirical evidence suggests that the depreciation of the Japanese yen increases the expected profitability of the firm and stimulates investment, especially in the machinery sector.     

Econometric estimation of a variable rate of depreciation of the capital stock

Measuring the capital stock is crucial in some fields of economic research. Capital stock is not observable, though, and its estimation requires the knowledge of its rate of depreciation. In most cases, econometric regressions are not used for this task. However, this methodology could be used to estimate capital stock values which are consistent with the technology of the economy. If we assume that the depreciation rate is not constant, its estimation poses some additional technical difficulties. In this paper we suggest a method to estimate a variable rate of depreciation which is shown to have wide empirical applicability and some computational advantages. Also, this method is easily implementable in standard packages by means of NLS or ML. The formalization of this method, and empirical evidence and simulation exercises based on its implementation are presented.First version received: October 2002/Final version received: May 2004All correspondence to José A. Hernandez. We would like to thank to the University of Las Palmas project uni2002/14 for financial support and two anonymous referees for helpful comments.     

MEASURING THE VALUE OF THE CAPITAL STOCK BY DIRECT OBSERVATION

In the Netherlands the Central Bureau of Statistics (C.B.S.) carried out two experimental investigations into the possibility of observing the actual value of the capital stock by means of enquiries at enterprises.
This article reports on the investigation into the cigar-industry. The intention is to carry out enquiries in one branch of industry after another. In due course (for instance after 10 years) it will again be the turn of the first branch of industry and so on. There are also branches of industry which have a fair amount of information regarding capital assets available at their disposal, so that enquiries are not necessary. In the long run the method described will supply statistical data on the value of the capital stock for all branches of industry together.
The gross actual value at current and constant prices is calculated for the cigar-industry, broken down by type and vintage. The enquiry was carried out in two steps. Questionnaires were not sent to the enterprises but they were visited in order that C.B.S. staff could derive the data required from the accounts available. Within the C.B.S. this information was processed, C.B.S. staff making estimates for lacking data. It may be concluded that this method of enquiry for the capital stock is difficult but useful. The results of the enquiry are comparable throughout, the valuation having been carried out in the same way for all enterprises and care having been taken that in each enterprise all means of production were asked for.
In the future this new technique of enquiry will provide good detailed information on the capital stock in the Netherlands.     

The Effects of the Defense Sector on the Productivity of Civilian Industry in the United States and the USSR

In this paper we estimate production functions in order to measure the effects of the defense sector on productivity in the civilian branches of U.S. and Soviet industry. The size of the defense sector is measured by a flow variable, annual expenditures, and a stock variable, the stock of military capital. For the United States, we use annual data from 1948 to 1985, and for the Soviet Union we use annual data from 1965 to 1987. The results of the estimation procedure provide strong support for the hypothesis that increases in the flow of defense expenditures provide a short-term spur to civilian industrial productivity in both countries during the period under investigation. The supply-side crowding-out hypothesis is also supported, and as expected, support is weaker in short-term estimates than in long-term estimates. J. Comp. Econom., December 1993, 17(4), pp. 768-785. Marquette University, Milwaukee, Wisconsin 53233.     

Estimates of China capital input index by industries (1981–2000)

The purpose of this paper is to report estimates of capital input index classified by industries in China from 1981 to 2000. We estimate capital stock based on the perpetual inventory method, and then estimate the flow of capital service and capital service price consistently with the capital compensation in input-output table. In our study, we discuss various assumptions and adjustments made on the data and estimation implementation.      

Monetary equilibrium in an overlapping generations model with productive capital

Summary We study perfect foresight competitive equilibrium in an overlapping generations model with productive capital and a fixed nominal stock of money. We obtain almost-complete characterizations of (a) the existence of a monetary equilibrium from an arbitrary initial capital stock, and (b) the existence of anefficient monetary equilibrium from an arbitrary initial capital stock. When the initial capital stock is no larger than the golden rule stock, the necessary and sufficient condition for both (a) and (b) is the dynamic inefficiency (in the sense of Malinvaud) of the autarkic (or nonmonetary) equilibrium from the same initial stock. However, this condition, though necessary, isnot sufficient for the existence of a monetary equilibrium when the initial stock exceeds the golden rule stock (and still more conditions are needed for anefficient monetary equilibrium to exist). We provide characterizations for these cases, and as corollaries obtain examples in which (a) the nonmonetary equilibrium is inefficient but no monetary equilibrium exists, and (b) monetary equilibria exist but no efficient monetary equilibrium does.We are grateful to a co-editor and an anonymous referee for comments that greatly improved the exposition in the paper.     

Demand regimes and income distribution reconsidered in an open economy portfolio balance framework

A large body of neo-Kaleckian literature has debated the distributional determinants of demand and growth. One general conclusion has been that open economy considerations weaken the potential for a wage-led growth regime. However, this literature has largely ignored asset portfolio considerations and the stock and flow interactions that result from the feedback from savings to wealth and from wealth to the current account. This study develops a theoretical framework that specifies a fuller system of (instantaneous) flow equilibria embedded in a medium-run framework with stable steady-state stocks of real and financial assets. The balance-of-payments constraint that results ensures that simply raising the wage does not yield a higher stock of real capital. A lower markup may increase the steady-state stock of capital but only through the relative price channel. These results are much stronger than those derived in the existing literature, and more important, emerge regardless of whether the demand regime is wage-led or profit-led in the absence of international trade.     

Factor analysis of demand growth for information technology input in Japan

The purpose of this article is to decompose demand changes for factor input and explore the factor that information technology (IT) capital stock has largely increased in Japan. The Allen partial elasticities of substitution are calculated and the variations in factor input demand are broken down into two effects—price effect and output effect, using industry-level data. From an estimation of the total cost function, the following conclusions are presented. While IT capital stock and ordinary capital stock are complementary, IT serves as a substitute for labor. The factors influencing the high growth rate in IT capital stock are the decrease in the prices of IT and ordinary capital services, and the increase in the labor price, in addition to the output effect. On the other hand, labor demand declines due to both the downward rigidity of wages and the decrease in prices of two kinds of capital services.     

Projecting soviet energy requirements using a vintage capital model

A Solow-type vintage capital model with capital utilization is used to estimate the long-term average embedded rate of improvement in energy efficiency of Soviet fixed-capital commissionings: 2.6% per year. The results are combined with planned Soviet capital stock growth to forecast cap Soviet energy requirements through 1990. The implied Soviet capital utilization goals call for greater energy savings than have been achieved in the past. The results also identify an upper bound for rates of hidden inflation contained in Soviet capital commissionings data. It appears an estimate such as S. Cohn's 1% (Soviet Stud. 33, 2:269–299, 1981) is far more likely than A. Nove's 6 to 7% (Soviet Stud. 33, 1:142–145, 198 1).     

Net private capital flows and economic growth–the case of emerging Asian economies

This article makes an exploratory empirical investigation into the relationship between net private capital flows and economic growth using a panel dataset from emerging Asian countries, namely South Korea, Indonesia, Malaysia, Thailand and the Philippines, over the period 1980–2001. Overall, this article indicates that net private capital helps to promote economic growth for the countries in the sample. In addition, this article also supports the view that net private capital flows will better contribute to economic growth under a sound policy and economic environment. This article also seeks to improve the estimation results by controlling for reverse causality as an econometric method that can control, for reverse causality is very important to examining the relationship between net private capital flows and economic growth. To tackle this issue, this article employs the Generalized Method of Moments (GMM) estimation technique, which is an econometric technique that can handle the reverse causality using the lagged explanatory variables as instruments.     

Does federally financed business R&D matter for US productivity growth?

This paper investigates the impact of federally financed business R&D on productivity of the US nonfarm business sector. Results of a cointegration analysis suggest that a long run relation between productivity and total (privately and federally financed) R&D capital stock exists. Moreover, the estimation results do not confirm the finding of previous empirical studies that the productivity effects of federally financed business R&D are lower compared with those of privately financed business R&D.     

MEASUREMENT OF TOTAL FACTOR INPUT, TECHNICAL CHANGE AND OUTPUT BY INDUSTRY IN THE FEDERAL REPUBLIC OF GERMANY 1958–1968

This paper deals with some results of an extended investigation which was carried out by the German Institute of Economic Research, Berlin, and the Ifo-Institute, Munich, and financed by the Stiftung Volkswagenwerk. For 29 sectors of manufacturing Cobb-Douglas production functions have been calculated, based on quarterly figures 1958–1968 of value added, input of hours worked, input of utilized capital stock (net of scrappage), and of potential value added, potential labor input and total capital stock. The income distribution is used as production elasticities. For each of the 29 sectors 12 time series of quarterly indices of total factor input and technical change have been computed, using utilized data (variation 1-6) and capacity data (variation 7-12). Two different time series of α are used, taking quarterly interpolated data (variation 1, 3, 5, 7, 9, 11) and the geometric mean 1958–1968 (variation 2, 4, 6, 8, 10, 12). Moreover three different parameters of homogeneity are introduced, taking r= 1 (variation 1, 2, 7, 8), r= 1.1 (variation 3, 4, 9, 10) and r= 1.25 (variation 5, 6, 11, 12). Seven of the 29 sectors show a very high sensitivity of the rate of technical change due to the assumed r, six sectors a rather high sensitivity. Ten of the 29 sectors show a rather small sensitivity of technical change due to the assumed r, six sectors a very small or even negative sensitivity, i.e. an increasing r creates an increasing technical change. These results can be explained by taking account of the fact that total factor input in many branches increased very slowly or even decreased (labor input alone decreased in nearly all branches). A hierarchy of technical change has been calculated; this hierarchy is difficult to explain, because fast growing industries as well as industries with a small or a negative growth rate of output rank in both the leading and the last group of technical change. Very high rates of output result in high rates of technical change (chemicals, mineral oil refining, plastics manufactures), but some industries with a rather small growth of output (shipbuilding, fine ceramics, steel drawing, and cold rolling mills) show a high rate of technical change too.     

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.     

Brand capital and firm value

We study the role of brand capital – a primary form of intangible capital – for firm valuation and risk in the cross section of publicly traded firms. Using an empirical measure of brand capital stock constructed from advertising expenditures accounting data, we show that: (i) firms with low brand capital investment rates have higher average stock returns than firms with high brand capital investment rates, a difference of 5.2% per annum; (ii) more brand capital intensive firms have higher average stock returns than less brand capital intensive firms, a difference of 5.1% per annum; and (iii) investment in both brand capital and physical capital is volatile and procyclical. A neoclassical investment-based model in which brand capital is a factor of production subject to adjustment costs matches the data well. The model also provides a novel explanation for the empirical links between advertising expenditures and stock returns around seasoned equity offerings (SEO) documented in previous studies.     

LABOR MARKET DISCRIMINATION AND CAPITAL: THE EFFECTS OF FAN DISCRIMINATION ON STADIUM AND ARENA CONSTRUCTION

We investigate the possibility that labor market discrimination affects capital. Previous research indicates that discrimination affects wages and employment in labor markets. However, the effects of discrimination on other inputs to production are not known. We develop a model of the optimal capital stock in the presence of customer discrimination and test this model using data on sports facility construction. The empirical evidence suggests that teams in cities with a larger white population and more racial segregation put less capital in place, confirming the predictions of the model about the effect of customer discrimination on capital inputs. (JEL J7, D24, L83)     

Pollution control and the Ramsey problem

Pollution is an inevitable by-product of production and is only gradually dissolved by the environment. It can be reduced by producing less and by cleaning up the environment, but neither occur when they are left to the market. Cleaning activities and the optimal emission charges increase with the stock of pollutants. When one allows for pollution of the environment in the classical Ramsey problem, the capital stock is less than in the market outcome and a fortiori less than under the golden rule. The analysis distinguishes between stock and flow externalities arising from pollution. An increase in impatience can lead to more capital accumulation, even though this leaves less room for current consumption.     

HAS INTERNATIONAL CAPITAL MOBILITY INCREASED IN ASIA? EVIDENCE FROM THE POST‐1997 FINANCIAL CRISIS PERIOD

This paper examines whether international capital mobility in Asia has increased after the 1997 Asian financial crisis by estimating the Feldstein‐Horioka (FH) coefficients using panel cointegration and dynamic OLS regressions. In the benchmark estimation, we find that the FH coefficients of ten Asian economies decrease significantly from 0.65 during the pre‐crisis period to 0.32 during the post‐crisis period. Furthermore, the coefficient for the post‐crisis period is less statistically significant than that for the pre‐crisis period. The extended model estimations with additional control variables controlling for the business cycle, different foreign exchange rate systems, and capital control also show the results which are consistent with the benchmark estimation results. Rolling regressions show a consistently declining trend of the FH coefficients in Asia during our sample period. These results provide consistent evidence, according to the FH proposition, of increasing international capital mobility in Asia during the post‐1997 Asian financial crisis period. (JEL F36, F37, F21)