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.     

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.     

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.     

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.     

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.     

ACCRUED CAPITAL GAINS, PERSONAL INCOME AND SAVING IN THE UNITED STATES, 1948–1964

Capital gains are an important source of personal income in the United States but they are not included in the national accounts or the official estimate of personal income and saving. Individuals report their realized gains for tax purposes but the economic theorist would include both realized and accrued gains in income. National income theorists continue to debate whether capital gains should be included in income but, because of the many conceptual and statistical problems involved in estimating capital gains, no satisfactory estimates have been developed. Consequently, the debate has stayed mainly at the theoretical level. This paper deals with the methodology of estimating accrued capital gains. A simple analytical model is developed to estimate capital gains from data on market value and net acquisitions of an asset but the model can be adapted to incorporate asset prices directly. It is shown that the methods used for estimating accrued gains in the past are special cases of the model proposed in the paper. The model is then used for estimating gains accruing to individuals in the United States on their holdings of corporate stock, real estate and livestock during 1948–1964.
During this period accrued gains have amounted to roughly five times the realized gains reported for tax purposes; corporate stock and real estate are the most important sources of capital gains and corporate stock accounts for almost two-thirds of all accrued gains. The paper goes on to examine the implications of these estimates for the existing series on personal income and saving in the United States. The inclusion of accrued gains would increase the variance in the official estimates but personal saving is affected more than personal income. The paper concludes with an evaluation of these results and some suggestions for further research.     

THE MEASUREMENT OF CAPITAL THROUGH A FIXED ASSET ACCOUNTING SIMULATION MODEL (FAASM)

In this article the author describes a method of estimating the capital stock of the corporate sector which is being developed at Statistics Canada. The method uses a "Fixed Asset Accounting Simulation Model" or FAASM. FAASM provides estimates of the capital stock by inferring the actual service lives of fixed assets, and using these with price indexes to revalue assets on a constant price basis. FAASM is thus an alternative to the widely used Perpetual Inventory Method. By also inferring accounting lives using the depreciation accounts, it has other important outputs. These latter get only passing mention here. Since FAASM exploits the available data in a comprehensive, systematic way, its service life and capital stock estimates may eventually, after system development and improvement in operation, approach the limits of attainable accuracy.     

CAPITAL AGGREGATION IN THE PRESENCE OF OBSOLESCENCE-INDUCING TECHNICAL CHANGE

The major question addressed is the treatment of capital embodied technical progress. Should Obsolescence be deducted to calculate a net stock, or should quality adjustments be made in each vintage of new capital, or both, or neither? In order to estimate the contribution of new investment to growth it is necessary to use a capital stock where different vintages are weighted in proportion to their marginal products. The commonly used gross capital measures do not do this, because they do not allow for the higher marginal product of more modern capital. Such an allowance for capital embodied technical progress can be made either by quality adjusting new capital or by incorporating obsolescence into the valuation of the old capital (but not both). However, even if new capital incorporates an allowance for improved quality, it will still be necessary to revalue the old capital. Frequently, a reasonable approximation to the net capital stock results from a linear decline in quasi-rents and can be approximated by published estimates of the stock of capital net of straight line depreciation. Steady technical progress will not lead to the commonly used exponential service decline functions. To avoid overestimating the return to investment when technology changes it will be necessary to use information on capital embodied technical change to revalue old capital, rather than to change the price indices for new capital.     

THE RELATIONSHIP BETWEEN FINANCIAL INCENTIVES FOR COMPANY PRESIDENTS AND FIRM PERFORMANCE IN JAPAN*

Kaplan (1994 ) concludes that the relationship between top pay and stock performance in Japan is similar to that in the USA. Using a new and comprehensive data set that includes presidents’ stock and their stock option holdings, this study estimates the sensitivity of Japanese presidents’ wealth to shareholder wealth in the period 1977–2000. Contrary to the commonly held belief that Japanese corporate governance is becoming more like that in the USA, the results show that pay–performance sensitivity actually decreased substantially after 1990. In 2000, Japanese presidents received $US22,100 when stock returns increased from ?2.1% to 14.8%.     

A Short‐Cut Method of Estimating Capital Stocks: When Can It be Used and How Well Does It Work?

Relatively few countries currently publish estimates of capital stocks because of the difficulty of applying the Perpetual Inventory Method. A short‐cut method which we term the Steady Growth Model (SGM) can produce plausible capital stock estimates provided certain conditions are met. Starting with a database covering 146 countries we conclude that the SGM can legitimately be used to calculate capital stocks for 53 of them. The 53 include equal numbers of high‐income and low‐income countries. The SGM requires only data on gross fixed capital formation for the base year, information about past growth rates of real GFCF, and assumptions about rates of depreciation. Despite its apparent simplicity, we show that our SGM stock estimates compare well with official stock estimates generated by the PIM. Other tests on capital–output ratios and capital‐stocks per head confirm the plausibility of stock estimates generated by SGM.     

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.     

MATCHING FUNCTION FOR THE JAPANESE LABOUR MARKET: RANDOM OR STOCK–FLOW?

This paper estimates outflow equations for the unemployed and job vacancies under random and stock–flow matching using Japanese data. We find that for the outflow of the unemployed, the stock–flow matching model fits better than the random matching model at the quarterly frequency, but not at the monthly frequency. In contrast, the outflow of vacancies is affected by the stock of the unemployed as well as its inflow at both monthly and quarterly frequencies. In addition, we calculate the exit rates of the unemployed and job vacancies to show the relationship between the exit rates and the durations of unemployment and job vacancies.     

VERTICALLY INTEGRATED MEASURES OF THE RATE OF PROFIT IN THE UNITED STATES 1950–90

This paper investigates the importance of increases in the productivity of producing capital in estimates of the profit rate decline which occurred in the United States during the period 1950–90. We find that, when profit rate measures take into account the increasing productivity of producing capital stock (as measured by the embodied labor required to produce it), the observed decline is about one-half that found using conventional measures of profit. This finding has important implications for interest rate and investment policies.     

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.     

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.     

AN APPROXIMATELY UNBIASED ESTIMATOR FOR THE THEORETICAL BLACK-SCHOLES EUROPEAN CALL VALUATION

Black-Scholes price estimate of a call is commonly formed by using an estimate of the stock return variance rate in the formula. This, however, produces systematic bias with respect to the model's value with the true variance rate. This paper proposes a new procedure to form Black-Scholes price estimates using Taylor series approximation. Our Monte Carlo results favour the new procedure over the common and the recently proposed Butler-Schachter approaches when bias magnitude and any systematic pattern thereof are the relevant concerns.     

How important is the stock market wealth effect on consumption in India?

We examine how shocks emanating from changes in the stock wealth affect the consumption demand in India using a Bayesian VAR framework. The effect of the stock market wealth shock on consumption demand in India is relatively small in magnitude. The estimates suggest that a 10% increase in the real stock wealth raises the consumption demand by 0.3%, which seems to be consistent with some empirical estimates for the emerging market economies given a relatively low share of stock wealth in the household asset portfolio and its asymmetric distribution. The stock market wealth effect being short run in nature does not have a large and persistent effect on consumption demand since consumers may not perceive the changes in the stock wealth to cause a permanent shift in their wealth.     

Cyclical Dynamics of the Turkish Economy and the Stock Market

Abstract

We analyze the cyclical dynamics of the Turkish economy and the stock market as well as their interactions. We use hidden Markov models that are robust to parameter instability arising from major shifts in economic policy, which have been typically observed in the Turkish economy. These models provide estimates of turning points for the growth, business, and stock market cycles. We identify three states of growth cycles and two states of business cycles in Turkey characterized by different mean estimates. We find that the economy went through five recessions since 1987. Crises are characterized by sharp drops in economic activity and are preceded by slowdowns. These crises are typically followed by strong recoveries during which the economy grows above its long-run average rate. We show that the Turkish stock market goes through three regimes having distinct risk-return dynamics. Bear markets associated with negative returns precede every recession with an average lead time of three quarters, suggesting that the stock market may be a useful forward-looking indicator of the Turkish economy.