Standardised capital stock estimates in Latin America: a 1950-94 update

Capital stock estimates are used extensively in many areas ofeconomic research, in spite of both theoretical and practicaldifficulties with respect to their use, estimation and meaning.The lack of comparable capital stock estimates in Latin Americahas hindered analysis of economic development in the regionand comparisons with other developed and developing countries.Standardised gross and net fixed capital stock estimates forthe 1950-94 period are presented for seven Latin American countries:Argentina, Brazil, Chile, Colombia, Ecuador, Mexico and Venezuela.The methodology employed is the 'perpetual inventory method'which estimates capital stocks as a weighted sum of past investmentflows. Several methodological issues are discussed, especiallydepreciation and service life estimation. Capital stocks havebeen disaggregated in machinery and equipment, non-residentialand residential structures with services lives of 15, 40 and50 years respectively.     

THE STOCK OF CONSUMER DURABLES IN THE UNITED KINGDOM: NEW ESTIMATES 1948–95

A modified version of the perpetual inventory model is applied to new data on consumers' expenditure in the United Kingdom to establish estimates of that part of personal sector wealth represented by the stock of consumer durables. Current and constant price estimates are provided at an aggregate and disaggregate level for the gross and net stock and for the imputed consumption income over the period 1948–95. The accuracy and consistency of the estimates are evaluated in the context of other approaches.     

ESTIMATES OF CAPITAL STOCK BY INDUSTRIES IN THE FEDERAL REPUBLIC OF GERMANY

The main purpose of this paper is to discuss some of the measurement problems in connection with the perpetual inventory method applied for estimates of capital stock. In the Federal Republic of Germany, highly aggregated capital stock data by business sector are compiled by the Federal Statistical Office within its national accounts calculations, while more detailed capital stock estimates by industrial sectors are published by the German Institute of Economic Research (DIW) in Berlin. Because of various gaps in the statistical sources, the accuracy of the capital stock calculations is not yet entirely satisfactory. Aside from the problem of establishing long time series for gross fixed capital formation in constant prices for all sectors, it is difficult to obtain reliable data on the inter-sectoral transactions in secondhand capital goods. In addition, there are problems of determining price indices and service life distributions of the fixed assets in the various parts of the economy. This paper shows a way to arrive at a reasonably close approximation to the latter problem.     

GDP growth in Russia: different capital stock series and the terms of trade

There are different academic assessments of the principal forces behind Russia’s GDP growth. Studies that reconstruct capital stocks using gross fixed capital formation and the perpetual inventory method find that total factor productivity growth has been paramount to GDP growth. On the other hand, capital services datasets that have recently been made available find that capital developments have been instrumental in driving economic growth. We reconstruct a capital stock series for Russia for 1995–2013 and compare the results to two capital services time series using the Solow growth model. We also take into account terms of trade developments that have lent strong support to Russia’s economy. The terms of trade is shown to have been an important factor behind the development of gross fixed capital formation and thus GDP growth.     

PRODUCTIVE CAPITAL IN ITALY: A DISAGGREGATED ESTIMATE BY SECTORS OF ORIGIN AND DESTINATION: 1985–88

This study presents a series of matrices of the capital stock disaggregated both by branch of origin and by branch of destination for the years 1985 to 1988 for Italy. The tables, whose dimensions are 23 × 23, were constructed using the perpetual inventory method and are based on disaggregated time series of gross capital formation provided by Istat (Italian Statistical Institute). The tables refer to both gross and net capital (with straight-line depreciation) and have been tested on alternative hypotheses for the average expected service lives of capital goods and their survival functions.     

中国制造业资本存量永续盘存法估计

KLEMS 项目的目的是在北美,欧洲和亚洲进行生产率的多国比较。本文讨论了 KLEMS 研究中估计资本存量的基本方法一永续盘存法及其经济含义。在这个研究中,根据中国的现有数据,应用永续盘存法估计了1985—1995年间,中国制造业分部门的资本存量。本文详细地分析了估计中所使用的数据,并讨论了所使用的假设与必要的数据调整,以及这些假设与数据调整所可能带来的估计中的误差。     

THE MEASUREMENT OF U.S. REAL CAPITAL INPUT, 1929–1967

The purpose of this paper is to develop methods for the measurement of real capital input. These methods are based on perpetual inventory estimates of capital stock and corresponding estimates of capital service prices. Stocks and service prices are adjusted for relative utilization of capital. The resulting estimates represent a separation of income from capital into price and quantity components. Estimates of capital input in current and constant prices are constructed for corporate business, non-corporate business, and households and non-profit institutions in the United States for the period 1929–1967. These estimates are prepared in a form suitable for integration into the U.S. National Income and Product Accounts.     

DEVELOPMENT OF ESTIMATES OF THE STOCK OF FIXED CAPITAL IN THE UNITED KINGDOM*

The historical background and present methodology used in compiling the U.K. official estimates of the stock of fixed capital are described. Mention is made of the possibility that with the development of commercial accounting direct estimates of capital stock may be derived from enterprise accounts at some future time. For the present, however, an indirect perpetual inventory approach is followed. Some of the deficiencies of the present estimates are discussed including the effects of possible biases in the life-length assumptions, price indices and the treatment of secondhand assets. Estimates of gross capital stock are given analysed by industry group of ownership and by type of asset. Some conceptual issues are discussed in relation to user requirements, including the distinction between the stock of capital and the flow of services from it. The authors conclude that little can be done to improve the perpetual inventory estimate of fixed capital in the U.K. without devoting more resources to the collection and analysis of new information, particularly on the service lives of fixed assets, the extent of leasing and the transfer of assets between industries.     

A Comparison of PIM Estimates with Direct Stock Information for Dwellings

One of the major sources of uncertainty in capital stock estimates stems from the use of the perpetual inventory method (PIM) in all the cases where direct stock information is not available. In the Danish capital stock estimates, it has been possible to dispense with the PIM as far as buildings are concerned. Instead, an administrative register of buildings is used together with a property register and the business register to produce an exhaustive enumeration of practically all buildings in the economy broken down by industry and sector. For the most important type of buildings, namely dwellings, the paper compares direct stock estimates derived by multiplying physical quantities (square meters) by the replacement prices per square meter with those that would result from applying the PIM to historical investment series. Dwellings are by far the most important non-financial assets in most developed economies.     

GROSS AND NET CAPITAL, AND THE FORM OF THE SURVIVAL FUNCTION: THEORY AND SOME NORWEGIAN EVIDENCE

In this paper we discuss the empirical measurement of capital stocks derived from data on gross investment. Two capital concepts are involved: gross capital-representing the capital's capacity dimension-and net capital–representing its wealth dimension. A brief summary of their components is presented.
The data base consists of long series of Norwegian national accounts data for gross investment at a disaggregated level of sector classification and for 1–3 capital categories within each sector. Survival functions, representing the process of retirement and decline in efficiency of capital units over time, with different curvature (concave, convex) and non-zero interest rates for the discounting of future capital service flows are considered. The effects of these parameters on the calculated gross and net capital stocks in the years 1956–82 as well as on the implied replacement and depreciation rates and rates of return are discussed.     

PROBLEMS OF MEASURING CAPITAL IN LESS DEVELOPED COUNTRIES

The general problems of distinguishing between theoretical concepts and practical measures concerning capital are considered and the difference between various stock and flow measures of capital and their respective uses is defined. The qualifications and limitations to these measures in the interpretation of output changes are also discussed. Attention is concentrated on the initial, basic problem of how to measure gross capital stock and the special difficulties involved in using the perpetual inventory simulation method and census procedures in less developed countries to derive such estimates are broadly defined. Some of the special problems encountered in an attempt to undertake an inventory of industrial capital assets in Lesotho are also referred to and the paper concludes by expressing the view that there are at present far more important issues demanding higher statistical priority in less developed countries than the evaluation of capital stocks.     

Estimates of Capital Stock and Capital/Output Coefficients by Industries: Korea (1953–86)

This paper constructs a polynomial-benchmark model to estimate gross and net capital stocks by explicity estimating implicit retirement rates and depreciation rates. The model is applied to Korean data (1953–86) where such data as national wealth survey, national income accounts and industrial census are available. There alternative series of capital stock estimates are generated and compared with previous estimates. It is shown that the use of a pure perpetual-inventory model or a benchmark-year method alone may introduce a significant bias in the measurement of capital stocks for developing economies.     

TOTAL INCOMES IN THE UNITED STATES, 1946–1976: A SUMMARY REPORT

Extended accounts of total income and product and associated capital stocks for the United States, in current and constant dollars, are offered for the years 1946 to 1976. They include intangible and tangible capital accumulation and non-market and market outputs in all sectors, services of government and household capital and of unpaid household labor, and opportunity costs of students. Defense and police services are classified as intermediate product; a portion of commercial media services is counted as final product. Expenses related to work are subtracted while the values of employee training and human capital formation and net revaluations of existing tangible capital are added.
Total incomes (TISA) net national product was 50 percent greater than official Bureau of Economic Analysis (BEA) NNP in 1976. BEA gross private domestic investment was only about 18 percent of TISA gross capital accumulation. Intangible investment and TISA net domestic capital accumulation grew more rapidly than BEA net private domestic investment. Household investment has been growing while there have been sharp declines in government investment, particularly in research and development. Contrary to some views of the import of the narrower BEA accounts, total capital accumulation appears to have risen considerably more rapidly than total consumption, 6.3 percent versus 2.2 percent per annum from 1946 to 1976, thus increasing sharply its share of TISA GNP.     

ESTIMATION OF THE STOCK OF CAPITAL IN SPAIN

The paper presents the methodology and results of the estimation of the endowments of capital in the Spanish economy. It distinguishes between endowments of public capital and private capital. The series corresponding to the public sector cover the period 1955–97 and consider seven categories (or functions). The estimates are disaggregated by 17 regions and 50 provinces. The level of disaggregation is regional and provincial (NUTS2 and NUTS3 in European terminology). The private capital series cover the period 1964–97 and consider 17 sectors of production, with disaggregation at regional level. The information refers to two variables: gross formation of fixed capital (in current and constant pesetas) and capital stock in constant pesetas (base year 1990).     

A METHOD FOR IMPROVED CAPITAL MEASUREMENT BY COMBINING ACCOUNTS AND FIRM INVESTMENT DATA

We propose a new method for estimating capital stocks at the firm level by combining business accounts information and investment data. The method also produces capital estimates at the sector or industry level by summing individual firms' capital stocks and appropriately inflating this sum to account for firms not included in the data set. Our approach has two major advantages compared with the much used Perpetual Inventory Method (PIM). First, long investment series are not necessary. Second, sector capital estimates are automatically adjusted for changes in the capital stock because of entry and exit of firms. While capital growth rates in Norwegian manufacturing were only 1 percent on average during 1993–2004 according to national accounts figures, our method yields much higher growth rates of 5.5 percent on average.     

ESTIMATES OF THE AGGREGATE QUARTERLY CAPITAL STOCK FOR THE POST-WAR U.S. ECONOMY

We construct quarterly aggregate gross and net capital stock series for the post-war U.S. economy using annual capital stock, capital depreciation, and capital discard figures along with quarterly investment series. We construct nominal and real measures of all three categories in the aggregate capital stock: consumer durable goods, producer durable goods, and business structures. In constructing the nominal series we take into account the changes in capital goods' prices. The series are constructed using four different methods. Using time- and frequency-domain techniques, we compare the constructed series and characterize their short-run, business cycle, and long-run cyclical properties. We find that the constructed series exhibit very different cyclical and shock persistence dynamics. Practial implications are discussed.     

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.      

THE TREATMENT OF INTANGIBLE RESOURCES AS CAPITAL

The author describes the results of his current research designed to measure total investment, tangible and intangible, and the derived capital stocks for the U.S., 1929–1966. With respect to total investment, the estimates show a marked increase in its ratio to GNP. All of the increase occurs in the intangible component comprising R & D, education and training, health, and mobility. The increase was concentrated in the government sector, although households increased the proportion of disposable personal income devoted to total investment.
Consistent with the relative investment trends, the stock of intangible capital grew considerably faster than the tangible stock. The growth of total capital stocks was somewhat less than that of GNP, however, in both current and constant prices. Thus, the rate of return on total capital rose somewhat over the period. Average rates of return on human and nonhuman capital were closely similar.
In real terms, the growth of total capital stocks accounted for two-thirds of the growth in real GNP, 1929–1966. One-third of the growth is attributed to residual forces, chiefly economies of scale, changes in inherent quality of human and natural resources, changes in values and motivations, and changes in rates of utilization of capacity.
The growth of the ratio of real intangible stocks to real tangible stocks accounted for less than half of the increase in total factor productivity 1929–1966. This is significantly less than the contribution of intangibles as estimated by Denison, and the author adduces several reasons why his estimates may understate the contribution. Nevertheless, it seems that the net effect of the residual forces enumerated above must also have made a substantial contribution to the growth of tangible factor productivity and real GNP over the 37-year period.