Operating Surplus, Mixed Income and Consumption of Fixed Capital 1

Total Total Operating Surplus, Mixed Income and Consumption of Fixed Capital 1 Introduction This paper continues the series dedicated to extending the contents of the Handbook Essential SNA: Building the Basics 2. One of the main themes in this series has been GDP compilation since GDP (Gross Domestic Product) is the most important single indicator measuring economic activity in a country. Earlier in this series we reviewed the two main approaches to GDP compilation the production approach and the expenditure approach and provided some background for the third approach to GDP compilation: the income approach 3. In the previous paper we reviewed the first transaction of this latter approach, compensation of employees 4, in this paper we will explore the remaining transactions: operating surplus, mixed income and consumption of fixed capital. Operating Surplus and Mixed Income in the Accounts In the GDP by income approach the perspective is changed from production to income generation as the value added generated in productive activities is considered to generate the (primary) income that is allocated to the factors of production, which are labour and capital 5. For labour the remuneration is compensation of employees, for capital it is operating surplus (the return on capital). If the income for the production factors cannot be separated, as is the case for unincorporated units in the household sector, the total income is called mixed income. This decomposition is recorded in the generation of income account. An example is given in the following table 6. Uses Resources Generation of income account B1n Value added, net 144 99 1256 1499 1499 1150 1150 1030 98 22 D1 Compensation of Employees 94 94 92 1 1 D29 Other Taxes on Production -36-36 -35 0-1 D39 Other Subsidies on Production Operating Surplus / Mixed Income, 291 291 169 0 122 B2n net 1499 0 1499 1256 99 144 Total 144 99 1256 1499 0 1499 Table 1 Generation of income account 1 This paper was developed by DevStat Servicios de Consultoría Estadística in consortium with ICON Institute, under the project Essential SNA: Building the Basics, supported by EUROSTAT, for which information can be found at the following link: http://circa.europa.eu/irc/dsis/snabuildingthebasics/info/data/website/index.html 2 Henceforth called the Handbook ; this paper is based on the second (2012) edition; it can be found at the following link: http://epp.eurostat.ec.europa.eu/portal/page/portal/product_details/publication?p_product_code=ks-ra-12-001 3 Annual GDP by income approach in current prices: Main issues 4 Compensation of employees and related labour concepts 5 Micro-economic theory uses the concept of a production function to quantify the relationship between production factors, such as labour and capital, and the output they generate 6 This table and the next come from the paper Introduction to the SNA 2008 Accounts, part 2: Current Accounts. The column stands for Rest-of-the-World. 1

Total Total For corporations (abbreviated as in the table) total value added (having the value 1256) consists of compensation of employees (1030) and operating surplus (169). Note that taxes and subsidies on production are recorded in this account as well, since the recognized SNA valuation is basic prices, which include taxes and subsidies on production (but exclude taxes and subsidies on products). Value added without taxes and subsidies on production is called value added at factor cost, but this is not an SNA concept. For households ( ) total value added (having the value 144) consists of compensation of employees (22) and operating surplus / mixed income (122). As noted earlier, this value added is generated largely in unincorporated units owned by households, in which labour and capital income are difficult to separate, and total income from value added for these units is therefore mixed, consisting of both income from labour and income from capital. Here capital income is the return to the owner as entrepreneur. Note that the household sector does have operating surplus as well. This is due to owner-occupiers in their capacity as producers of housing services for own final consumption, and to households leasing dwellings. Note that for ernment ( ) operating surplus is zero, and value added is only allocated to compensation of employees (and taxes and subsidies on production). Operating surplus then is a measure of the surplus accruing to capital from the processes of production, after the productive factor labour has been remunerated and net taxes (taxes minus subsidies) on production have been paid. From this surplus is deducted any explicit or implicit interest charges, rent or other property incomes payable on the financial assets, land or other natural resources required to carry on the production (SNA 7.12). These property incomes are recorded in the next account, the allocation of primary income account, which focuses on resident institutional units or sectors in their capacity as recipients of primary incomes. An example is given in the following table. Uses Resources Allocation of primary income account B11 External balance of goods and services -41-41 Operating Surplus / Mixed Income, B2n net 122 0 169 291 291 6 6 D1 Compensation of Employees 1154 1154 2 1156 D2 Taxes on production and imports 235 235 235 D21 Taxes on products 141 141 141 D29 Other Taxes on Production 94 94 94 D3 Subsidies -44-44 -44 D31 Subsidies on products -8-8 -8 D39 Other Subsidies on Production -36-36 -36 435 44 391 302 42 47 D4 Property income 130 22 245 397 38 435 1642 1642 112 171 1359 B5n Primary income, net -51-51 Current external balance 2032-1 2033 414 213 1406 Total 1406 213 414 2033-1 2032 Table 2 Allocation of primary income account 2

This account records the resources of households (compensation of employees), government (taxes minus subsidies, both on products and production) and operating surplus / mixed income for enterprises (both in the corporations and households sectors). Property incomes received from the ownership of financial assets or natural resources serve as additional resources for all sectors. Additionally, property income may have to be paid by units (e.g. as rent) so there are recordings on the use side for this transaction as well. The final balance of this account is primary income. Note that in the above two tables the opening and closing balances are given in net values. This means excluding consumption of fixed capital. Consumption of fixed capital (CFC) reflects the decline in the value of capital. This is similar to depreciation as used in business accounting. However, CFC in national accounts is not a method for allocating the costs of past expenditures on capital over subsequent accounting periods. Rather, it is the decline in the future benefits of the assets due to their use in the production process. Balancing items with CFC included are called gross. The aggregate value of all gross primary income balances for all sectors is Gross National Income, abbreviated as GNI (SNA 7.20). Measurement of gross operating surplus and mixed income typically involves the same statistical data sources as used for the production approach. Initial estimates for this component can be derived from business statistics as follows: Output intermediate consumption other taxes on production + other subsidies on production compensation of employees The final adjusted balanced value of gross operating surplus and mixed income can be obtained when the initial estimates for output and intermediate consumption are replaced by the corresponding figures in the balanced supply and use tables, and corresponding initial estimates for other taxes and subsidies on production plus the compensation of employees are replaced by the final balanced values in the national accounts industry tables. Introducing Consumption of Fixed Capital We have seen how operating surplus and mixed income serve as balancing items of the generation of income account, and that consumption of fixed capital is used to derive gross values from net values of balancing items (such as value added, operating surplus / mixed income and primary income). In general, the estimate of the consumption of fixed capital is not relevant to GDP or GNI, since these concepts are gross, i.e. production or income aggregates before the deduction of the fixed capital consumed. There is, however, one very important exception to this main rule, namely non-market activity, where by convention the output value is calculated from the costs point of view, and where the consumption of fixed capital is one of the components of costs. Non-market activity occurs in Sector S.13, general government and Sector S.15, non-profit institutions serving households. The latter is private non-market output. The vast majority of non-market output comes from government. We have not yet seen how consumption of fixed capital arises. This happens in the capital account. Before we arrive at this account the secondary distribution of income account follows the conversion of primary income into disposable income, which is the income available for final consumption. These 3

Total Total two types of income are not the same because of the occurrence of redistribution of income. This takes place in the form of the following transactions: Current taxes on income, wealth; Net social contributions; Social benefits other than social transfers in kind; social transfers in kind are individual goods and services provided as transfers in kind to individual households by government; Other current transfers; these consist of the following: Net premiums and claims for non-life insurance; Current transfers between different kinds of government units; Current transfers such as those between different households. The transactions for the expenditure approach to GDP household, government and NPISH final consumption expenditures belong to the Use of disposable income account. Both of these accounts are current accounts, in which the flow of value added to disposable income (out of which final consumption is paid) is followed for one accounting period. The last current account the use of disposable income account closes with savings as balancing item. Following the monetary perspective, this represents surplus money in the economy that can be used for accumulating (building up) assets. An asset, tangible or intangible, is a store of value that is capable of being owned or controlled. Assets can be financial and non-financial. Non-financial assets 7 can be produced or non-produced. Produced assets include fixed assets, used in production repeatedly over an extended period of time, inventories and valuables. Non-produced assets include natural resources, licenses and marketing assets (including goodwill). Transactions in non-financial assets are recorded the capital account, the first accumulation account 8. The following table gives an example. Changes in assets Changes in liabilities and net worth Capital account B12 Current external balance -13-13 B8n Saving, net 194-62 73 205 205 414 414 316 38 60 P5g Gross capital formation -222-222 -169-27 -26 K1 Consumption fixed capital 0 0-7 2 5 K2 Acquisitions less disposals of nonproduced assets D9 Capital transfers, receivable 23 6 33 62 4 D9 Capital transfers, payable -8-34 -23-65 -1-66 B10.1 Changes in net worth due to saving and capital transfers 209-90 83 202-10 192 0-10 10-57 -103 170 B9 Net lending(+)/net borrowing(-) 192-10 202 83-90 209 Total Table 3 Capital account 7 Our earlier term capital referred to non-financial assets 8 For the other accumulation accounts see the paper Introduction to the SNA 2008 Accounts, part 3: Accumulation Accounts. Table 3 comes from this paper. 4

The left-hand side of the capital account records the various types of investment in non-financial assets. The main use transaction is gross capital formation, which consists of the following three components 9 : Gross fixed capital formation; Changes in inventories; Acquisitions less disposals of valuables. Apart from consumption of fixed capital the other transaction on the left-hand side of the capital account is acquisitions less disposals of non-produced non-financial assets. This transaction also involves assets, in this case: Natural resources; e.g. land, mineral and energy reserves; Contracts, leases and licenses; Goodwill and marketing assets. The right-hand side includes net saving and capital transfers receivable and capital transfers payable (with a minus sign) in order to arrive at that part of changes in net worth due to saving and capital transfers. Capital transfers are transactions, either in cash or in kind, in which the ownership of an asset (other than cash and inventories) is transferred from one institutional unit to another, or in which cash is transferred to enable the recipient to acquire another asset, or in which the funds realized by the disposal of another asset are transferred (SNA 10.200). As we have already seen, the transaction consumption of fixed capital represents the decline, between the beginning and the end of the accounting period, in the value of the fixed assets owned by an enterprise, as a result of their physical deterioration and normal rates of obsolescence and accidental damage (SNA 10.156). Because consumption of fixed capital is a negative change in fixed assets, it is recorded, with a negative sign, on the left-hand side of the capital account as well. We will now turn to the question how consumption of fixed capital can be calculated. Calculating Consumption of Fixed Capital Consumption of fixed capital is a flow concept, causing stocks in non-financial assets the capital stock to change. Applying the gross and net terminology introduced earlier, we have the gross capital stock and the net capital stock, with consumption of fixed capital being the difference between the two. The build-up of non-financial assets takes place by gross fixed capital formation (GFCF). Included are all fixed assets, including both tangible and intangible fixed assets. Intangibles include mineral exploration costs, software, major improvements to non-produced assets and cost of ownership transfer associated with non-produced assets. Since non-financial assets have a lifetime of more than one year (otherwise they would not be assets) they will be part of the gross capital stock after the year in which they were introduced into the capital stock. The number of years depends on the lifetime (also known as the average service life) of 9 See the papers: Gross Capital Formation in current and constant prices, part 1: Gross Fixed Capital Formation; Gross Capital Formation in current and constant prices, part 2: Changes in Inventories. 5

the asset. The following table gives some typical values for the average service life of some asset classes 10. Asset Class Average Service Life (Years) Residential Buildings 80 Non-residential Buildings 40 Other Construction and Works 40 Ships and Boats 20 Aircraft 15 Road Vehicles 10 Machinery and Equipment 15 Table 4 Average service lives of some typical assets The way in which the asset is removed from the capital stock, once it reaches the end of its lifetime is modeled by a mortality function. Different choices are possible. The simultaneous exit mortality function assumes that all assets are retired from the capital stock at the moment when they reach the average service life for the type of asset concerned. The corresponding survival function therefore shows that all assets of a given type and vintage (i.e. year of installation) remain in the stock until time T, at which point they are all retired together. A mortality function that is often used in practice is the Winfrey curve 11. At the year in which the asset enters the capital stock, its value is equal to the GFCF value. At the end of its service life the value of the asset is zero. But what are the values for the years in between? This depends on the amount of fixed capital that has been consumed. The conventional way of measuring consumption of fixed capital is to do it directly by applying a depreciation formula to the capital stock. Again, different choices are possible, the easiest of which is straight-line depreciation, in which the value of the asset say 100 is depreciated in equal portions over its lifetime. If we take the lifetime to be 5 years, this would amount to a consumption of fixed capital of 20 per year. However this calculation gives rise to a bias, because the same consumption of fixed capital is imputed if the investments take place in December. Assuming an even distribution of the acquisitions of fixed assets over the year, the average of the stock of the current year T and the previous year T-1 (of course both in prices of year T-1) seems to be a better choice for the estimation. An example is given in the following table, let s say for a computer. Year Gross Fixed Capital Formation Gross Capital Stock Consumption of Fixed Capital Net Capital Stock 0 0 0 0 0 1 100 100 10 90 2 0 100 20 70 3 0 100 20 50 4 0 100 20 30 5 0 100 20 10 6 0 0 10 0 Table 5 Example of straight-line depreciation 10 Taken from the Singapore example, in: Measuring Capital, OECD 2001, p.98 11 Named after Robley Winfrey who in the 1930s collected information on dates of installation and retirement of 176 groups of industrial assets and calculated 18 type curves that gave good approximations to their observed retirement patterns. See Measuring Capital, OECD 2001, 6.55 6

In this example the asset computer enters the (gross) capital stock in year 1 and remains in service for 5 years. A factor of 1/5 is applied to the average of the capital stock for the current and previous year, which is 50 for year 1, 100 for years 2 to 5 and 50 for year 6. The net capital stock is obtained by subtracting the calculated consumption of fixed capital from the gross capital stock. Extending the example to a series of yearly additions ( vintages ) of the same asset over a number of years is straightforward, as is demonstrated in the following table. Contribution Year 1 Contribution Year 2 Contribution Year 3 Contribution Year 4 Contribution Year 5 Total Year GFCF GCS CFC NCS GCS CFC NCS GCS CFC NCS GCS CFC NCS GCS CFC NCS GCS CFC NCS 0 1 100 100 10 90 0 100 10 90 2 100 100 20 70 100 10 90 0 200 30 160 3 100 100 20 50 100 20 70 100 10 90 0 300 50 210 4 100 100 20 30 100 20 50 100 20 70 100 10 90 0 400 70 240 5 100 100 20 10 100 20 30 100 20 50 100 20 70 100 10 90 500 90 250 10 0 100 20 10 100 20 30 100 20 50 100 20 70 400 90 160 10 0 100 20 10 100 20 30 100 20 50 300 70 90 10 0 100 20 10 100 20 30 200 50 40 10 0 100 20 10 100 30 10 10 0 0 10 0 Table 6 Example of straight-line depreciation with different vintages For each new vintage the values from table 5 are shifted forward in time with one year. Capital Services The consumption of fixed capital measures the decline in the value of assets associated with ageing. This decline in market values can be described as the age-price profile of an asset. The age-price profile is related to, but different from, the decline in the efficiency of assets as they age. This decline is referred to as the age-efficiency profile. These two concepts are best illustrated using the example given in SNA Table 20.1, which is reproduced in the table below. Contribution to production Sum of 5 years Age-efficiency profile Year 1 Year 2 Year 3 Year 4 Year 5 Year 1 100 1.00 Year 2 76 80 0.80 Year 3 54 57 60 0.75 Year 4 35 36 38 40 0.67 Year 5 16 17 18 19 20 0.50 Asset Value 282 191 116 59 20 Decline in asset 91 74 57 39 20 282 value Income 9 6 3 1 0 18 Age-price profile 1.00 0.68 0.61 0.51 0.34 0.00 Table 7 SNA Example illustrating the difference between age-price profile and age-efficiency profile Here we do not look at GFCF (indicating the value of the asset) but at the contribution to production of the asset. First look at the diagonal values (100, 80, 60, 40, 20). Here we recognize the same straight-line depreciation with a factor 1/5 as used before 12, although now applied to the contribution to production. By comparing the value in year T with T-1 we get the age-efficiency 12 Assuming here that the full amount is depreciated in the same calendar year. 7

profile in the last column (e.g. 0.75 = 60/80). These values represent the capital services of the asset, and thereby constitute gross operating surplus. It is important to note that the contribution to production in year 2 (80) also increases the value of the asset in year 1, since the asset will generate production in both year 1 and year 2. The standard way of obtaining the additional value in year 1 is by calculating the present value in year 1 of the value in year 2. The idea is that one can invest money at a particular interest rate say 5 % 13 in year 1 which will then yield the original amount plus interest in year 2 of 1.05 times the original value. The present value can be obtained by reversing this calculation, i.e. by dividing 80 by 1.05 we get 76 after rounding 14. The next entry on the diagonal, 60 for year 3, will yield a (rounded) present value of (1/1.05)*60 = 57 for year 2 and (1/1.05)* (1/1.05)*60 = 54 for year 1. This way all non-diagonal elements in the above table can be found and the asset value can be constructed by summing the columns: 282, 191, 116, 59, 20. The decline in asset values (91, 74, 57, 39, 20) represents again consumption of fixed capital and by comparing two consecutive values one obtains the age-price profile (e.g. 0.61 = 116/191). The important point of this example is that the age-efficiency profile can be used to generate the age-price profile for assets and to then derive consumption of fixed capital indirectly as the difference between successive values of the net capital stock. This also works the other way around as is noted in SNA (section 20.15): if nothing is known about the contribution of the asset to production but the decline in the value of the asset over the five years, due to ageing, is known (the age-price profile), one can derive the same age-efficiency profile again (the tables 20.1 and 20.2 in SNA are equal). A number of patterns can be postulated for either the age-price or age-efficiency profile. These include the straight line depreciation case. An interesting alternative are geometrically declining profiles, where the value in year T is obtained by multiplying a fixed proportion to the value of the year before. In this case the shape of the age-price profile and the shape of the age-efficiency profile are exactly the same (SNA 20.23). One consequence is that figures for capital stock adjusted for the decline in value are equal to those for capital stock adjusted for the decline in efficiency. This property is an important reason for choosing this profile in practice to determine the value of capital stock. The income in the table is the amount that the owner of the asset can spend and still be as well off at the end of the period as at the beginning. For year 1 this income is 100 91 = 9, for year 2 it is 80 74 = 6. This income constitutes the return to capital or net operating surplus. This way we have established a link between the asset valuation and operating surplus, via the notion of capital services. Chapter 20 of SNA presents a detailed analysis of these capital services. The PIM Method In practice we want to use time-series of GFCF to generate consumption of fixed capital. This is usually done using the Perpetual Inventory Method (PIM), for which the preceding sections have already laid the foundations. This is a method to derive the gross capital stock from GFCF and then calculate CFC and net capital stock as before. PIM works by accumulating past capital formation and 13 The choice of 5% is standard in the literature 14 The factor 1/1.05 is called the discount factor 8

deducting the value of assets that have reached the end of their service lives. Both capital formation and discards of assets ( scrapping ) are revalued either to the prices of the current year (current prices) or to the prices of a single base year (constant prices) 15. To implement PIM we need statistics on gross fixed capital formation, price indices for capital assets, and information on average service lives and on how retirements are distributed around these averages. Provided the capital stock series go back as many years as the longest-lived asset (go back perpetually ), it is possible to estimate the capital stock without having an initial benchmark estimate. However, as the longest lived assets, usually dwelling structures, may have service lives in excess of 100 years, most countries need to start their PIM estimates with a bench-mark estimate, at least for assets with long lives. In the example below we will illustrate this. Note that PIM relates to the estimation of the capital stock and not to the calculation of CFC. The method is described in detail in chapter 6 of the OECD manual on measuring capital, to which the interested reader is referred. Here we will illustrate the method with an example. Suppose we have time-series of GFCF values and price indexes as in table 8 below, e.g. for the asset dental equipment. We can then express GFCF in prices of 2005 by deflating current values with the index (e.g. 59 = 100 * 56 / 95 with rounding applied). The capital stock is then derived by adding GFCF in prices 2005 to the capital stock of the year before and CFC is derived by applying the depreciation rate (in this example again 1/5 = 0.2). Inflating CFC with the price index gives CFC at "current replacement costs" (e.g. 52 = 54 * 95/100 with rounding applied). We have applied the OECD procedure in the table 8 using a simple formula that derives CFC from the net capital stock directly by applying the factor 1/5 to half the value of GFCF plus the value of the net capital stock of the year before (e.g. 56 = 1/5 *( 63 / 2 + 246) with values rounded). The factor ½ arises because of the same reason as in table 5. The net capital stock is then derived as the net capital stock of the year before plus GFCF minus CFC (254 = 246 + 63 56 with values rounded). Year GFCF GFCF prices (average, 2005 = 100) GFCF (prices 2005) NCS (end of year, prices 2005) CFC (prices 2005) CFC ("current replacement costs") 1999 242 2000 56 95 59 246 54 52 2001 61 97 63 254 56 54 2002 63 98 64 261 57 56 2003 67 99 68 270 59 58 2004 71 99 72 280 61 60 2005 72 100 72 289 63 63 2006 71 101 70 294 65 65 2007 74 102 73 301 66 67 2008 75 104 72 306 67 70 2009 77 104 74 311 69 71 2010 78 105 74 316 70 73 2011 81 107 76 321 71 76 2012 84 108 78 327 72 78 0,032 Table 8 An example of calculating capital stock and consumption of fixed capital The problem is to get these calculations started by estimating the net capital stock for 1999. In the example this is done by calculating an average of the GFCF increase over the period 2000 2012 15 Alternative ways of estimating the capital stock are presented in chapter 8 of Measuring Capital, OECD 2001 9

(0.032 = (84/56)^(1/13)-1 with values rounded). The net capital stock for the year 1999 is then derived by dividing GFCF for the year 2000 by the sum of this average increase and the rate of depreciation 1/5 (242 = 56 / (0.032 + 0,2) with values rounded). The series for the net capital stock is then build up using this initial value as starting point. Concluding remarks This paper set out to provide some background on the methodology of compiling operating surplus, mixed income and consumption of fixed capital. We looked at their place and role in the accounts, their SNA definitions, their data sources and their methods of compilation. We also made a side tour, exploring the concepts of capital services and capital stock. To find out more, Essential SNA: Building the Basics (2012 edition), Chapter 3 The 2008 SNA, European Commission, IMF, OECD, UN, World Bank, 2009, Chapters 10, 20 Measuring Capital, OECD 2001 10