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Chapter

# 14 THE SYSTEM OF PRICE STATISTICS

International Monetary Fund
Published Date:
August 2004
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## Introduction

14.1 This chapter focuses on the value aggregates for goods and services that relate the major price indices, including the consumer price index (CPI), to one another. The chapter provides a deeper context for the domain of the CPI covered in Chapter 3 and the index weights dealt with in Chapter 4. It also deepens the context for defining the sample unit and the set of products, discussed in Chapter 5.

14.2 We begin by defining a value aggregate for a domain of goods and services as the sum of the products of the prices and quantities of those goods and services. A price index may be characterized as the factor giving the relative change in this value aggregate arising from changes in prices. As such, all the major price index formulae can be expressed as weighted averages of price relatives whose weights are the shares of items in the value aggregate. For the best-known price index formulae expressed as value aggregates of share-weigh ted averages of price relatives, see Chapter 1, equation (1.2) and Chapter 15, equation (15.8) for the Laspeyres index. See Chapter 1, equation (1.3) and Chapter 15, equation (15.9) for the Paasche index, and Chapter 1, equations (1.11)(1.12) and Chapter 15, equations (15.21) and (15.81) for the Walsh and Törnqvist indices. As the geometric mean of the Laspeyres and Paasche indices, the Fisher ideal index of Chapter 1, equation (1.10) and Chapter 15, equation (15.12) is also a function of expenditure shares derived directly from the value aggregate.

14.3 To define a price index, we first need to know several things about the value aggregate. The value aggregate defines the following aspects of a price index:

• which commodities or items to include in the index;

• how to determine the item prices;

• which transactions that involve these items to include in the index;

• how to determine the weights, and from which sources these weights should be drawn.

Besides the content of the value aggregates for the major price indices, we also discuss in this chapter their valuation and timing properties. These properties bear importantly on how compilers define the prices and weights of price indices.

14.4 The four principal price indices in the system of economic statistics are the consumer price index (CPI), the producer price index (PPI), and the export and import price indices (XPI and MPI). They are well-known and closely watched indicators of macroeconomic performance. They are direct indicators of the purchasing power of money in various types of transactions and other flows involving goods and services. Consequently, these indices are important tools in the design and conduct of the monetary and fiscal policy of the government. They also are used as deflators to provide summary measures of the volume of goods and services produced and consumed. They thus are also used to inform economic decisions throughout the private sector. They do not, or should not, comprise merely a collection of unrelated price indicators, but provide instead an integrated and consistent view of price developments pertaining to production, consumption, and international transactions in goods and services. By implication, the meaningfulness of all of these indices derives in no small measure from the meaningfulness of the value aggregates to which each refers. Although there are other important price indices, most of which also are discussed in this chapter, these four constitute the backbone of the system of price statistics in most countries, and they will be given special attention.

14.5 Paragraphs 14.8 onwards establish the relationships among the four major price series by associating them with certain of the interlocking aggregates defined in the System of National Accounts 1993 (SNA 1993). The system of national accounts (SNA) has gone through various versions over the years, the 1993 edition of this manual being the latest. We will use SNA to refer to the system of national accounts generically, and SNA 1993 to refer specifically to the most recent version, as appropriate. The CPI draws its coverage from a variety of accounts in the SNA. At various points along the way, we note whether and how the composition of each value aggregate in the national accounts relates to the aggregate on which the CPI may be defined. Besides the four main price indices and an array of additional useful price indices, we briefly consider labour compensation indices and purchasing power parities in the system of economic statistics.

14.6 As noted in Chapter 2, the CPI is constructed for a range of uses in various countries, but we can identify two broad themes: the consumption (sometimes called the cost of living) CPI, and the transactions (often called the inflation) CPI. Advocates for the transactions CPI often refer to it as an acquisitions CPI, following the language of the earlier Consumer price indices: An ILO manual(Turvey et al., 1989) which used this terminology to distinguish alternative treatments of, for example, owner-occupied housing (p. 15). The term “acquisitions CPI” has a different meaning in the SNA, referring to households’ consumption of goods and services secured not only by themselves, but also by non-profit institutions and government on their behalf. We thus use the term “transactions” instead. In the ILO manual’s terminology, what we call a consumption CPI would have been called a “uses” CPI. Either is consistent with current SNA terminology.

14.7 Both types of CPI are oriented towards the price experience of households, but, as its name implies, the consumption CPI focuses on the prices of items on which households make final consumption expenditures, while the transactions CPI focuses on the prices of items on which households make monetary final expenditures on consumption and capital formation. Consumption CPIs thus exclude capital formation expenditures by households (for example, on their own dwellings), but may include both monetary and imputed consumption expenditures (for example, the imputed rent paid by homeowners on their own dwellings). Transactions CPIs focus only on the prices of items on which households make monetary final expenditures, and thus may include household capital formation expenditures (for example, net acquisitions of dwellings), but categorically exclude expenditures that must be imputed in order to cover households’ effective consumption of goods and services. In this chapter, we will further explain the concepts of institutional sector and type of transaction from the SNA that define the distinction and the relationship between the consumption and transactions CPI. In each of the following sections, as relevant, we will discuss the kinds of expenditures defining the items and weights appropriate for each of these two main types, referring to the sum of expenditures corresponding to the consumption CPI as expenditure aggregate #1 and that for the transactions CPI as expenditure aggregate #2.

## National accounts as a framework for the system of price statistics

14.8 The system of national accounts is the core system of value aggregates for transactions and other flows in goods and services. It is clearly of broad economic interest. Granted, the value aggregates of the major price indices need not be coincident with the major value aggregates in the national accounts. The national accounts aggregates, however, represent the major flows of goods and services and levels of tangible and intangible stocks in the economy. The major price indices therefore should have a clear relationship to these aggregates. This chapter explains the value aggregates now in common use by national authorities for the major price indices, or planned for future use, by assembling them from components identified in the SNA.

14.9 The SNA 1993 describes the system of national accounts as follows:

1.1 The System of National Accounts (SNA) consists of a coherent, consistent and integrated set of macroeconomic accounts, balance sheets and tables based on a set of internationally agreed concepts, definitions, classifications and accounting rules. It provides a comprehensive framework within which economic data can be compiled and presented for purposes of economic analysis, decision taking and policy making.

The accounts cover the major economic activities taking place within an economy, such as production, consumption, financing and the accumulation of capital goods. Some of the flows involved, such as income, saving, lending and borrowing, do not relate to goods and services and do not factor into price and quantity components. However, the SNA also contains a comprehensive framework, the supply and use table, discussed in more detail below, which establishes and displays the interrelationships between all the main flows of goods and services in the economy. The coverage and contents of these flows are defined, classified and measured in a conceptually consistent manner. Within this table, the linkages between major flows of goods and services associated with activities such as production, consumption, distribution, importing and exporting can be seen in a simple and direct way. The table provides an ideal framework for designing and organizing a system of internally consistent price statistics that relate to a set of economically interdependent flows of goods and services. The table not only establishes the interrelationships between consumer, producer, import and export prices themselves, but also their linkages with price indices for major macroeconomic aggregates such as gross domestic product (GDP).

14.10 In this overview of price indices, we first take a top-level view of the major national accounts aggregates. We then begin a review of the underlying construction of these aggregates by considering first the types of economic agents in the economy that are recognized in the national accounting system, and second, the economic accounts kept on them involving goods and services flows that build up to the main aggregates. As these accounts are built up from their foundations, precise relationships emerge between the well-known headline price indicators - the PPI, CPI, XPI and MPI - and the closely watched national accounts aggregates.

### Aggregate supply and use of goods and services

14.11 At the most aggregate level, the supply and use of goods and services in the national accounts is the simple textbook macroeconomic identity equating total supply with total uses. Total supply is the sum of output y, imports M, and taxes less subsidies on products T. Total use is the sum of intermediate consumption Z, the final consumption of households C and government G, capital formation I, and exports X:

14.12 Rearranging this identity by subtracting intermediate consumption and imports from both sides, we arrive at the familiar alternative expressions for GDP from the production (value added) and expenditure approaches:

GDP is, of course, internationally recognized as the central national accounts aggregate for measuring economic performance. It is essentially a measure of production, as distinct from final demand. More precisely, it measures the value added of the productive activities carried out by all the economic agents resident in an economy. As imports are not included in GDP, a price index for GDP tracks internally generated inflation. Compiling indices for tracking the parts of relative change in GDP and its components that can be attributed to price and volume change is among the most important objectives for the development of price statistics in modern statistical systems.

14.13 As explained in more detail later, the supply and use table in the SNA is a comprehensive matrix covering the economy as a whole that exploits the identities (14.1) and (14.2) at a disaggregated level. Each row of the matrix shows the total uses of a commodity, or group of commodities, while each column shows the total supplies from domestic industries and imports. The table provides an accounting framework that imposes the discipline of both conceptual and numerical consistency on data on flows of goods and services drawn from different sources. The flows have to be defined, classified and valued in the same way, while any errors have to be reconciled. The table provides a good basis for compiling a set of interdependent price and quantity indices. In the following sections, we consider the various elements or building blocks that make up the table before examining the table as a whole.

### Institutional units and establishments

14.14 In building the accounting system and the major aggregates Υ, Μ, Τ, Z, C, G, I and X of equations (14.1) and (14.2), the SNA 1993 first organizes the economy of a country into the kinds of entities or agents that undertake economic activity. These agents are called institutional units and comprise five types resident in the economy, as well as a single non-resident category, the rest of the world. An institutional unit is said to be resident in an economy if its primary centre of economic interest is located there. A centre of economic interest is operationally defined in part by the duration of physical presence. For example, a household is resident in an economic territory if it lives within the territory’s boundaries for a year or more. The five types of resident institutional units are: non-financial corporations; financial corporations; general government; households; and non-profit institutions serving households (NPISHs). The SNA 1993 associates with institutional units the ability to hold title to productive assets, and thus they represent the smallest units on which complete balance sheets can be compiled.

14.15 As noted earlier, institutional units can engage in producing and consuming goods and services and in capital formation, accumulating goods and services as productive tangible and intangible assets. To analyse production, the SNA 1993 identifies a smaller unit or agent than an institutional unit, called an establishment or local kind of activity unit (LKAU). Within an institutional unit, the establishment is the smallest unit organized for production whose costs and output can be separately identified. Generally, establishments specialize in the production of only a few types of output at a single geographical location. To compile productivity statistics, analysts also need detail on produced and non-produced non-financial assets (capital) by establishment from multi-establishment institutional units. This is because, as we will see, these statistics use an industry or activity classification of establishments rather than institutional units. Some institutional units may own establishments in more than one industry. On the other hand, an account of financial assets and liabilities by establishment is not needed and not generally available from the accounts of institutional units owning multiple establishments. The latter would be necessary to make establishment balance sheets.

14.16 The SNA 1993 classification of institutional units into sectors is shown in Box 14.1. The SNA 1993 classification of institutional units does not strictly follow the legal status of institutional units, but rather their function. Hence, a government-owned non-financial enterprise producing output sold at prices substantially covering its costs and for which a balance sheet can be compiled would be classified as a non-financial corporation, along with non-financial corporations that are corporate legal entities. For further details, see SNA 1993, Chapter IV. Notice that the SNA 1993 institutional sectors represent the units typically covered in economic and household censuses and surveys. The SNA focuses on the activities of institutional units that are resident in a nation or economic territory. It makes provision for the rest of the world (S.2 in Box 14.1) only to capture the transactions of resident institutional units with nonresidents. Transactions of non-residents with other nonresidents are out of scope for the national or regional accounts of a given country or region.

14.17 The classification of household institutional units into sectors is highly relevant for analysing the incidence of price change. As shown in Box 14.1, the SNA 1993 defines household subsectors according to the major source of income: mixed income (mostly profits of household enterprises), compensation (wages, salaries and compensation in kind), or property income (rents, dividends and interest). There are not the only sectors of households that may be of interest to users of the CPI, however. In addition to the source of income, analysts often (perhaps more often) are interested in the level of income. The shares of particular goods and services in household expenditures are likely to show more variation across income level than across major source of income. For example, to shed light on the price experience of poor (low-income) households we would want to know whether there is a significant difference in the shares of expenditure on specific goods and services for poor as compared with non-poor households. A good example would be the relative importance of expenditures for used durable goods. As we will see, consumer durables are measured in the SNA on an acquisitions-less-disposals basis. While poor households normally would be net purchasers of such goods, richer households would tend to be net sellers. A change in the prices of used goods thus would have a very different impact on the CPIs for the two groups of households.

### Box 14.1.Institutional sectors in the System of National Accounts 1993

S.1 Total economy

• S.11 Non-financial corporations

• Ultimate subdivisions: public, national private and foreign controlled

• S.12Financial corporations

• Ultimate subdivisions: public, national private and foreign controlled

• S.121 Central bank

• S.122 Other depository corporations

• S.1221 Deposit money corporations

• S.1222 Other depository corporations, except deposit money corporations

• S.123 Other financial intermediaries, except insurance corporations and pension funds

• S.124 Financial auxiliaries

• S.125 Insurance corporations and pension funds

• S.13General government

• Alternate scheme n = 1, social security funds shown as a separate branch of government S.1314

• Alternate scheme n = 2, social security funds included as components of central, state, and local branches, and S.1314 deleted

• S.13n 1 Central government

• S.13n2 State government

• S.13n3 Local government

• S.1314 Social security funds

• S.14Households

• Classified according to the largest source of income received

• S.141 Employers (mixed income, owning an unincorporated enterprise with paid employees)

• S.142 Own account workers (mixed income,1 owning an unincorporated enterprise without paid employees)

• S.143 Employees (compensation of employees)2

• S.144 Recipients of property and transfer income3

• S.1441 Recipients of property Income

• S.1442 Recipients of pensions

• S.1443 Recipients of other transfers

• S.15Non-profit institutions serving households (NPISHs)

S.2 Rest of the world

To understand how subsectors S.141 and S.142 of households are formed, an explanation of the term “mixed income” is in order. This, in turn, requires consideration of the national accounts income concept of operating surplus. The operating surplus of an enterprise is the residual of the value of output less purchases of goods and services, inputs, wages and salaries, employers’ social contributions (social security and pension payments), and taxes net of subsidies payable on production that are unrelated to products. The mixed income of household unincorporated enterprises is algebraically defined identically with the operating surplus of other enterprises. However, for unincorporated household enterprises, the compensation of the owners or proprietors of the enterprise may not be included in the recorded compensation of employees item, and thus the difference between output and operating cost will include compensation for the owners’ labour. The distinct terminology merely recognizes that the owners’ wages are often inextricably mixed with the operating surplus for these units.

Compensation of employees comprises wages and salaries, and employer-provided benefits comprising employers’ social contributions.

Property income comprises interest, dividends and rent.

### Accounts of institutional units

14.18 In equations (14.1) and (14.2), we identified the basic aggregates comprising the total supply and use of goods and services in the economy, and derived GDP in terms of these aggregates. To see how to separate the price and volume components of supply and use, it is necessary to build these basic aggregates up from the institutional sector accounts of the economy’s economic agents. In this process it is important to detail the production and consumption activities of these agents, as well as the types of goods and services they produce and consume. The framework organizing this information is the supply and use table. As this table is built up, we effectively also begin to accumulate data on the product share weights s needed for computing price index formulae (Chapters 1, 3, and 15-17). The basic accounts of the SNA in which all of these aggregates are recorded at the level of institutional units are the production, use of income, capital, and external goods and services accounts. These accounts organize the information for the following top-level aggregates:

• Production account: output Y, intermediate consumption Z, and value added Y–Z;

• Use of income account: household consumption C and government consumption G;

• Capital account: capital formation I;

• External goods and services account: exports X and imports M.

### Recording transactions in goods and services

14.19 Before turning to further elaboration on these four goods and services accounts, it is important to specify how each entry in the value aggregates comprising them is to be recorded. The items i in the value aggregate equation (15.1) of Chapter 15 represent detailed goods and services flows classified into categories of transactions. There are two defining aspects of recording transactions: timing and valuation.

14.20 Regarding the timing of transactions, to associate each transaction with a date, the national accounts consider a transaction to have been consummated when a liability to pay is created between the units involved. For flows of goods and services, this occurs when the ownership of the good is exchanged or when the service is delivered. When change of ownership occurs or the service is delivered, a transaction is said to have accrued. In general, this time need not be the same as the moment at which the payment actually takes place.

14.21 There are two valuation principles in the national accounts, one for suppliers and one for users. For suppliers, transactions in goods and services are to be valued at basic prices. The basic price is the price per unit of good or service receivable by the producer. We use the term receivable to indicate that the price refers to an accrued transaction for the seller, and the term payable to indicate a transaction that has accrued to the purchaser. As the producer does not receive taxes (if any) on products, but does receive subsidies (if any) on products, taxes on products are excluded from the basic price, while subsidies on products are included. The producer also does not receive separately invoiced transport and insurance charges provided by other suppliers, or any distribution margins added by other, retail or wholesale service producers, and these are also excluded from the basic price. In contrast, the user, as purchaser, pays all of these charges, and users’ purchases are therefore valued at purchasers’ prices, which add taxes net of subsidies on products and margins for included transport, insurance and distribution services to the basic price.

14.22 The SNA 1993 distinguishes between taxes on products and other taxes on production. Taxes net of subsidies on products T include all taxes payable per unit or as a fraction of the value of goods or services transacted. Included in T are excise, sales, and the nonrefundable portion of value added taxes, duties on imports and taxes on exports. Subsidies on products include all subsidies receivable per unit or as a fraction of the value of goods or services produced, including in particular subsidies paid on imports and exports. Other taxes on production comprise, for example, taxes on real property and taxes on profits. Other subsidies on production include, for example, regular payments by the government to cover the difference between the costs and revenues of loss-making enterprises. Of total taxes and subsidies on production, only taxes and subsidies on products are considered in defining basic and purchasers’ prices. By implication, there are no taxes payable on products included in either of the aggregates Y or M, while subsidies receivable on products are included in these aggregates.

14.23 Accordingly, output Y and imports M in equations (14.1) and (14.2) are valued at basic prices, to which are added taxes less subsidies on products Τ to arrive at total supply. The reader may have noted that transport, insurance and distribution margins have somehow disappeared after having been introduced. Whether these services are included with the good or invoiced separately does not affect the total expenditure on goods and services by the purchaser. For the economy as a whole, these transactions cancel out, but when we consider industry or activity and product detail, they will have redistributive effects among goods and services products. This point is revisited in the discussion of the supply and use table below.

14.24 The components of total uses are valued at purchasers’ prices. This is straightforwardly interpreted for the final consumption of households and government. For capital formation expenditures, the notion of purchasers’ prices also includes the costs of “setting up” fixed capital equipment. For exports, purchasers’ prices also include export taxes net of subsidies, according to the “free on board” (fob) value at the national frontier. We now discuss each of the four major goods and services accounts in turn.

### Production

14.25 An institutional unit engaged in production is said to be an enterprise. By implication, any of the five types of resident institutional units can be an enterprise. The production account for enterprises in the SNA 1993 appears, with minor reordering of elements, essentially as shown in Table 14.1. An identical presentation also applies to the establishments or local kind of activity units (LKAUs) owned by enterprises. In fact, an establishment can be defined operationally as the smallest unit for which a production account can be constructed. There are cases in which an establishment or LKAU is synonymous with or at least inseparable from the institutional unit that owns it. This is true of single-establishment corporations and of household unincorporated enterprises, for example. In other cases, an enterprise may own multiple establishments. The production account can also be produced for various establishment and enterprise groupings, including, of course, institutional sectors, but also for establishment industry or activity groups. In the production account and throughout the SNA 1993, the transaction codes beginning with Ρ refer to entries for transactions in goods and services. The codes beginning with Β refer to so-called “balancing items”, which are defined residually as the difference between a resources total and the sum of itemized uses of those resources.

Table 14.1Production account for an establishment, institutional unit or institutional sectorSNA 1993 items in bold refer to flows in goods and services
UsesResources
P.2 Intermediate consumption (purchasers’ prices)P.1 Output (basic prices)
B.1 Gross value-added (balances the account; that is, it is the difference between output P.1 and intermediate consumption P.2)
Of which, memorandum items breaking down total output for classifying the market/non-market status of the producer unit:

P.11 Market output

P.12 Output for own final use

P.13 Other non-market output

14.26 For classifying an establishment or LKAU, output is broken down into market output (P.11), which is sold at “economically significant prices” substantially covering the cost of production, and two types of non-market output that are provided without charge or at prices so low they bear no relationship to production cost. The two types of non-market output are output for own final use (P.12) and other non-market output (P. 13). Output for own final use includes the production of, for example, machine tools and structures (fixed capital formation items) by an establishment for the use of the establishment itself or other establishments in the same enterprise, the imputed rental value of certain productive assets owned by households, such as (and currently limited to) owner-occupied dwellings, and the production of certain other unincorporated household enterprises, such as agricultural products produced by farmers for consumption by their own families or employees. Other non-market output comprises the output of general government and non-profit institutions serving households distributed free of charge or sold at prices that are not economically significant. In constructing a price index, we will necessarily be focusing on those transactions of establishment units that involve economically significant prices, and thus on market output (P.11). The prices collected for market output items may also, however, be used to value the own final use portion of non-market output (P.12). Our scope of coverage for price indices thus extends to cover this component of non-market output as well.

14.27 A production unit’s resources derive from the value of its output, and its uses of resources are the costs it incurs in carrying out production. The production account therefore uses both the basic price and purchasers* price methods of valuation, as appropriate to a production unit in its roles as a supplier and a user of products. For the supply (resources) of goods and services, products are valued at basic prices, the national currency value receivable by the producer for each unit of a product. The prices include subsidies, and exclude the taxes on products and additional charges or margins on products to pay for included retail and wholesale trade services, and for included transport and insurance. For uses of goods and services, products are valued at purchasers’ prices, the national currency value payable by the user for each unit of a product, including taxes on products as well as trade and transport margins, and excluding subsidies on products.

14.28Product detail in the production account. In addition to breaking output down into its market and non-market components, output and intermediate consumption also can be broken down by type of product. Classifying product types using, for example, the international standard Central Product Classification (CPC), the production account for each establishment could be arranged to appear as in Table 14.2. Table 14.2 effectively gives the core structure of the report form of the typical establishment survey providing source data on production for the national accounts.

14.29Industry detail in the production account. With the values of total output by product, and total market and non-market outputs in Table 14.2 for each establishment, we then classify the establishment by its principal activity or industry, and market/non-market status. To reflect the information required for this classification, positions for the activity and market/non-market classification codes of the establishment are shown at the top of Table 14.2. The activity classification involves principally, if not exclusively, sorting establishments according to the types of product produced (CPC or other product code, such as the Classification of Products by Activity) for which the total output is greatest. The major categories of the International Standard Industrial Classification of All Economic Activities (ISIC), Revision 3, are shown in Box 14.2 below.

14.30 As indicated in Table 14.2, The SNA 1993 recommends use of the International Standard Industrial Classification (ISIC) for all economic activities, the CPC for domestic products, and the closely related Harmonized Commodity Description and Classification System (HS) for exported and imported products. Each country may adapt the international standard to its specific circumstances. If the adaptation amounts to adding further detail, the classification is said to be derived from the international standard. The Nomenclature générale des Activités économiques dans les Communautés européennes (NACE, the General Industrial Classification of Economie Activities within the European Communities) is an industrial classification derived from the ISIC. If the adaptation reorganizes the way in which detailed categories are grouped compared with the international standard, but provides for a cross-classification at some level of detail, it is said to be related. The North American Industrial Classification System (NAICS) of Canada, Mexico and the United States is an industrial classification related to the ISIC. The European Commission’s PRODCOM classification of industrial products is derived from its Classification of Products by Activity (CPA) which, in turn, is related to the international standard CPC through a cross-classification defined at a high level of product detail.

14.31The output aggregate of the producer price index and the production account. The producer price index (PPI) is an index of the prices of the outputs of establishments. The position of the PPI in the SNA 1993 is defined by the relationship of its output value aggregate to those defined in the national accounts. In Box 14.2, we consider the composition of the PPI value aggregate according to its industry coverage, arguing that the PPI’s industry coverage should be complete. Considering further market and non-market production within an industry group of establishments that are classified according to market status, the PPI’s coverage could extend both to the market output (P. 11) and output for own final use (P.2) identified in Table 14.2 when this account is considered for all establishments in the economy. Although the latter is technically non-market output, it would be valued at the basic prices the establishment would receive were that own-use production to be sold.

Table 14.2Production account with product detail for an establishment or local kind of activity unitSNA 1993 items in bold refer to flows in goods and services
 Establishment ID: eeeeeeeeActivity/Industry code (ISIC): aaaa Institutional unit ID: uuuuuuuuuInstitutional sector code: S.nnnnnMarket status: P.1n Uses Resources P.2 Intermediate consumption (purchasers’ prices), of which: P.1 Output (basic prices), of which: CPC 0 Agriculture, forestry and fishery products CPC 0 Agriculture, forestry and fishery products CPC 1 Ores and mineral; electricity, gas. and water CPC 1 Ores and mineral; electricity, gas. and water CPC 2 Food products, beverages and tobacco; textiles, apparel and leather products CPC 2 Food products, beverages and tobacco; textiles, apparel and leather products CPC 3 Other transportable goods, except metal products, machinery and equipment CPC 3 Other transportable goods, except metal products, machinery and equipment CPC 4 Metal products, machinery and equipment CPC 4 Metal products, machinery and equipment CPC 5 Intangible assets; land; constructions; construction services CPC 5 Intangible assets; land; constructions; construction services CPC 6 Distributive trade services; lodging; food and beverage serving services; transport services; and utilities distribution services CPC 6 Distributive trade services; lodging; food and beverage serving services; transport services; and utilities distribution services CPC 7 Financial and related services; real estate services; and rental and leasinq services CPC 7 Financial and related services; real estate services; and rental and leasing services CPC 8 Business and production services CPC 8 Business and production services CPC 9 Community, social and personal services CPC 9 Community, social and personal services B.1 Gross value-added Memorandum items breaking down total output for classifying the market/non-market status of the producer: P.11 Market output P.12 Output for own final useP.13 Other non-market output

14.32The expenditure aggregate of the consumer price index and the production account. Consumption from own production is a significant fraction of total consumption, comprising both goods and services. For goods produced by households, as noted in the SNA 1993:

6.24 The System includes the production of all goods within the production boundary. At the time the production takes place it may not even be known whether, or in what proportions, the goods produced are destined for the market or for own use. The following types of production by households are, therefore, included whether intended for own final consumption or not:

(a) The production of agricultural products and their subsequent storage; the gathering of berries or other uncultivated crops; forestry; wood-cutting and the collection of firewood; hunting and fishing;

(b) The production of other primary products such as mining salt, cutting peat, the supply of water, etc.;

(c) The processing of agricultural products; the production of grain by threshing; the production of flour by milling; the curing of skins and the production of leather; the production and preservation of meat and fish products; the preservation of fruit by drying, bottling, etc.; the production of dairy products such as butter or cheese; the production of beer, wine, or spirits; the production of baskets or mats; etc.;

(d) Other kinds of processing such as weaving cloth; dress making and tailoring; the production of footwear; the production of pottery, utensils or durables; making furniture or furnishings; etc.

The storage of agricultural goods produced by households is included within the production boundary as an extension of the goods-producing process. The supply of water is also considered a goods-producing activity in this context. In principle, supplying water is a similar kind of activity to extracting and piping crude oil.

6.25 It is not feasible to draw up a complete, exhaustive list of all possible productive activities but the above list covers the most common types. When the amount of a good produced within households is believed to be quantitatively important in relation to the total supply of that good in a country, its production should be recorded. Otherwise, it is not worthwhile trying to estimate it in practice.

For services, the SNA 1993 notes housing services as the sole - but for most countries extremely important - item of production for own consumption:

6.29 The production of housing services for their own final consumption by owner-occupiers has always been included within the production boundary in national accounts, although it constitutes an exception to the general exclusion of own-account service production. The ratio of owner-occupied to rented dwellings can vary significantly between countries and even over short periods of time within a single country, so that both international and intertemporal comparisons of the production and consumption of housing services could be distorted if no imputation were made for the value of own-account housing services. The imputed value of the income generated by such production is taxed in some countries.

### Box 14.2.Coverage of industries or activities by the producer price index in terms of aggregate output value

The principal economic activities of the International Standard Industrial Classification of All Economic Activities (ISIC), Revision 3, are:

A Agriculture, hunting and forestry

B Fishing

C Mining and quarrying

D Manufacturing

E Electricity, gas and water supply

F Construction

G Wholesale and retail trade; repair of motor vehicles, motorcycles, and personal and household goods

H Hotels and restaurants

I Transport, storage and communications

J Financial intermediation

K Real estate, renting and business activities

L Public administration and defence; compulsory social security

M Education

N Health and social work

O Other community, social and personal service activities

P Private households with employed persons

Q Extra-territorial organizations and bodies

These are characteristic of the activities identified in most national industrial classifications. In assembling data on the supply and use flows in the economy, a detailed industry production account such as given in Table 14.2 is effectively constructed for each type of activity in the economy, whose major categories are shown in the ISIC list above. With the product output and expenditure detail in Table 14.2, we can show more explicitly the typical goods and services coverage of the PPI within the output aggregate (P.1) of the production account for each industry. In most countries, PPIs cover industries that produce goods, such as the mining and manufacturing activities (C-D) and sometimes also agriculture (A) and fishing (B), and construction (F), as well as the two industrial service activities - electricity, gas and water supply (E) and transport, storage and communications (I). In principle, the PPI should cover the market output of all activities, and a number of countries are currently working on extending PPI coverage to the remaining service-producing activities besides transport and utilities.

The SNA imputes the value of such consumption at the equivalent market value of the output households produce for their own purposes.

14.33 In some cases, however, the market equivalent method of valuing production for own consumption is not viable because sufficiently similar market equivalents to the items supplied from own production are not available, or they are sufficiently rare that it is too expensive to obtain information on them or too unreliable to base estimates on such information. In these cases, production cost approaches are taken. The source of data for the production cost approaches is, in part, the household production account as regards goods and services purchased for intermediate consumption. The ultimate source of primary information for the household production account is principally the household expenditure survey, though specialized surveys of household business activity may also be undertaken for this purpose. For the shelter services provided by houses occupied by their owners, for example, the production account would be the source of expenditures on utilities, maintenance, and do-it-yourself repair items of intermediate consumption that would be used, in part, to determine the cost to an owner-occupant of the services he or she derives from his or her own dwelling. For the own production of agricultural produce, purchases of seed, fertilizer, and small garden tools might be recorded as intermediate consumption. Particularly for the latter, however, it is often difficult to distinguish between the intermediate production expense of production for own consumption and final consumption expenditure for maintaining decorative landscaping.

### Final consumption

14.34 Consumption of goods and services in the SNA 1993 is shown in the use of income account, which appears essentially as in Table 14.3 for each institutional unit. It is recalled that the accounts pertaining to goods and services in the SNA 1993 that can be decomposed into price and volume components, and that would thus draw our interest as price index compilers, are designated by the codes P.n. Items of final consumption are designated by P.3 with extensions: P.3 comprises individual consumption expenditure (P.31) and collective consumption expenditure (P.32).

14.35Individual consumption, actual consumption, and household consumption expenditures. The SNA distinguishes individual from collective goods and services, a distinction that is equivalent to that between private and public goods in economic theory. The distinction is mainly relevant to services. Individual services are provided to individual households and benefit those particular households, whereas collective services are provided to the community, for example services such as public order, administration, security and defence. Many individual services, however, such as education, health, housing and transport, may be financed and paid for by government or non-profit institutions and provided free or at a nominal price to individual households. A large part of government consumption expenditure is not on public goods but on goods or services supplied to individual households. These individual consumption expenditures by governments and NPISHs are described as social transfers in kind in the SNA 1993.

14.36 The concept of “household consumption” can have three distinct meanings. First, it can mean the total set of individual consumption goods and services actually acquired by households, including those received as social transfers in kind. Second, it can mean the subset which households actually pay for themselves. To distinguish between these two sets, the SNA describes the first as the actual final consumption of households and the second as household final consumption expenditures. A third possible interpretation of household consumption is that it means the actual physical process of consuming the goods and services. It is this process from which utility is derived and that determines the household’s standard of living. The process of consuming or using the goods or services can take place some time after the goods or services are acquired, as most consumer goods can be stored. The distinction between acquisition and use is most pronounced in the case of consumer durables that may be used over very long periods of time. The treatment of durables is discussed further in Box 14.3.

Table 14.3Use of income account for institutional units and sectorsSNA 1993 items in bold refer to flows in goods and services
 Institutional unit ID: uuuuuuuu Institutional sector code: S.nnnnn Uses Resources P.3 Final consumption expenditure (purchasers’ prices)1 B.6 Disposable income2 P.31 Individual consumption expenditure, of which: P.311 Individual consumption expenditure, except from production on own account, and imputed consumption expenditure, household sector S.14 only P.312 Imputed expenditure on owner-occupied housing services, household sector S.14 only P.313 Financial intermediation services implicitly measured (FISIM) P.314 Other imputed individual consumption expenditure P.32 Collective consumption expenditure (general government sector S.13 only) D.8 Adjustment for the change in the net equity of households in pension funds3 B.8 Saving (balances the account; that is, it is the difference between disposable income B.6 and the sum of expenditures P.3 and adjustment D.8)

By definition, corporations have no final consumption in the SNA 1993. Thus, item P.3 and its subdivisions appear with non-zero entries only for household, government, and non-profit institutions serving households (NPISH) units.

The SNA 1993 derives disposable income in a sequence of accounts producing the balancing items: value added B.1 (production account), operating surplus B.2 and mixed income B.3 (generation of income account), balance of primary incomes B.5 (allocation of primary income account), and disposable income B.6 (secondary distribution of income account). Collapsing all of these steps, disposable income B.6 is value added B.1 less (net) taxes on production and imports (payable) D.2 plus (net) subsidies D.3 (receivable), plus compensation of employees receivable, plus (net) property income (receivable) D.4, less (net) taxes on income and wealth (payable) D.5, less (net) social contributions (payable) D.61, plus (net) social benefits (receivable) D.62, less (net) other transfers (payable) D.7.

This adjustment reflects the treatment by the SNA 1993 of privately funded pensions as owned by the household beneficiaries of such plans. It maintains consistency between the income and accumulation accounts in the system. It is not relevant to price and volume measurement (see System of National Accounts 1993, Chapter IX, Section A.4 for further details).

By definition, corporations have no final consumption in the SNA 1993. Thus, item P.3 and its subdivisions appear with non-zero entries only for household, government, and non-profit institutions serving households (NPISH) units.

The SNA 1993 derives disposable income in a sequence of accounts producing the balancing items: value added B.1 (production account), operating surplus B.2 and mixed income B.3 (generation of income account), balance of primary incomes B.5 (allocation of primary income account), and disposable income B.6 (secondary distribution of income account). Collapsing all of these steps, disposable income B.6 is value added B.1 less (net) taxes on production and imports (payable) D.2 plus (net) subsidies D.3 (receivable), plus compensation of employees receivable, plus (net) property income (receivable) D.4, less (net) taxes on income and wealth (payable) D.5, less (net) social contributions (payable) D.61, plus (net) social benefits (receivable) D.62, less (net) other transfers (payable) D.7.

This adjustment reflects the treatment by the SNA 1993 of privately funded pensions as owned by the household beneficiaries of such plans. It maintains consistency between the income and accumulation accounts in the system. It is not relevant to price and volume measurement (see System of National Accounts 1993, Chapter IX, Section A.4 for further details).

14.37 The existence of social transfers in kind is not generally recognized in CPIs, although it is desirable to take account of them, especially when considering changes in the cost of living. Moreover, governments may start to charge for services that were previously provided free, a practice that has become increasingly common in many countries in recent years. The goods and services provided free as social transfers could, in principle, be regarded as also being part of household consumption expenditures but as having a zero price. The shift from a zero to positive price is then a price increase that could be captured by a consumer price index.

14.38Monetary and imputed expenditures. Not all household expenditures are monetary. A monetary expenditure is one in which the counterpart to the good or service acquired is the creation of some kind of financial liability. This may be immediately extinguished by a cash payment, but many monetary expenditures are made on credit. Household consumption expenditures also include certain imputed expenditures on goods or services that households produce for themselves. These are treated as expenditures because households incur the costs of producing them (in contrast to social transfers in kind, which are paid for by government or non-profit institutions).

14.39 The imputed household expenditures recognized in the SNA include all those on goods that households produce for themselves (mainly agricultural goods in practice), but exclude all household services produced for own consumption except for housing services produced by owner-occupants. The imputed prices at which the included goods and services are valued are their estimated prices on the market. In the case of housing services, these are imputed market rentals. In practice, most countries follow the SNA by including owner-occupied housing in the CPI. Other imputed prices, such as the prices of vegetables, fruit, or dairy or meat products produced for own consumption, may be included if they comprise a sufficiently large component of household consumption expenditure.

14.40Product detail in the use of income account. As with the production accounts of the establishments owned by institutional units, we can consider extending the product detail of goods and services consumption in the use of income account according to the type of product consumed. In order to maintain the integration of the system of price and volume statistics on consumption with those we have just covered on production, products would be classified according to the same system as in the production account. We show the major categories of the CPC 1.0 within the components of final consumption expenditure in Table 14.4.

### Box 14.3.Treatment of housing and consumer durables in the system of national accounts and in consumer price indices

Dwellings are fixed assets. Purchases of dwellings by households therefore constitute household gross fixed capital formation and are not part of household consumption. They cannot enter Into a price index for household consumption. Fixed assets are used for purposes of production, not consumption. Dwellings have therefore to be treated as fixed assets that are used by their owners to produce housing services. The system of national accounts (SNA) actually sets up a production account in which this production Is recorded. The services are consumed by the owners. The expenditures on the services are Imputed, the services being valued by the estimated rentals payable on the market for equivalent accommodation. The rentals have to cover both the depreciation of the dwellings and the associated interest charges or capital costs.

The existence of these Imputed expenditures on owner-occupied housing services has always been recognized in national accounts and most countries have also included them in their consumer price indices (CPIs), even though other imputed expenditures are not included.

Consumer durables, such as automobiles, cookers and freezers, are also assets that are used by their owners over long periods of time. In principle, they could be treated in the same way as dwellings and be reclassified as fixed assets that produce flows of services that are consumed by their owners. For certain analytic purposes, it may be desirable to treat them this way. To do so in the SNA, however, would not simply be a matter of estimating the market rentals that would be payable for hiring the assets. It would also be necessary to set up production accounts in which the durables are used as fixed assets. This has traditionally been regarded as too difficult and artificial. There are also objections to extending further the range of imputed flows included in the SNA and gross domestic product. In practice, therefore, expenditures on durables are classified in the SNA as consumption expenditures and not as gross fixed capital formation, a practice that Is carried over into CPIs.

14.41 Although the discussion in this chapter maintains a consistent classification of expenditure by product across all goods and services accounts, other functional classifications of expenditure have been developed for each institutional sector for specific purposes. The international standard versions of these classifications included in the SNA 1993 comprise the Classification of Individual Consumption according to Purpose (COI-COP), the Classification of the Purposes of Non-profit Institutions Serving Households (COPNI), the Classification of the Functions of Government (COFOG), and the Classification of the Purposes of Producers (COPP). The first column of Tables 14.4 and 14.5 is often compiled using data from household expenditure surveys. These data are collected using functional classifications such as COICOP, rather than product classifications. To facilitate constructing the cross-economy framework of the SNA 1993 considered in this chapter, there is a concordance between the CPC and the COICOP.

14.42A hierarchy of household consumption aggregates. It is worth noting that all household consumption expenditures (that is, of the households institutional sector S.14) are individual expenditures, by definition. The following hierarchy of household consumption aggregates that are relevant to CPIs may be distinguished in the SNA:

 P.41 Actual individual consumption, of which: D.63 Social transfers in kind (the individual consumption expenditure P.31 of general government S.13 and NPISHs S.15) P.31 Individual consumption expenditure, of which: P.311 Monetary consumption expenditure P.312 Financial intermediation services implicitly measured (FISIM) P.313 Imputed expenditure on owner-occupied housing services P.314 Other imputed individual consumption expenditure

The codes P.311, P.312, P.313 and P.314 do not exist in the SNA 1993 but are introduced for convenience here. These four sub-categories of household consumption expenditures are separately identified in Tables 14.4 and 14.5. As already noted, D.63 is usually excluded from the expenditure coverage of CPIs.

14.43 It is worth noting the special treatment of financial services in the SNA 1993. FISIM comprises expenditures on those market services provided by financial institutions that are not separately distinguished from interest charges. Expenditures on financial services on which there is an explicit charge are already covered in P.311. Although FISIM P.312 requires an implicit measurement as the difference between a market interest rate and a reference rate, it is part of an observed interest payment and thus is not considered an imputed expenditure in the same sense as imputed rent P.313 and other imputed expenditure P.314.

14.44 Our item P.314, other imputed individual consumption, includes, besides households’ production of goods for their own consumption, expenditures on goods and services that employers make on behalf of their employees as non-cash compensation. The SNA calls this item D.12, employers’ social contributions, and considers it in the generation of income account. It is recognized as a component of the labour services price index, but is not customarily included in the CPI despite its dual role as an item of consumption (see paragraph 14.75 below).

14.45The expenditure aggregate of the consumer price index and the use of income account. The detailed use of income accounts for institutional sectors can be assembled into a consolidated framework by choosing columns from Table 14.4 for each sector and displaying them together as in Table 14.5, which gives an economy-wide presentation of final consumption and saving. Table 14.5, for the total economy, shows individual consumption as comprising the individual consumption entries P.31 of the use of income accounts for households, NPISHs and the general government sector. It also aggregates the disposable income B.6 of all three. It shows separately the final collective consumption of government P.32. The account in Table 14.5 has been arranged specifically to show the consumption coverage of the typical CPI, which comprises the first and second columns and is labelled CPI reference aggregate #1. This aggregate corresponds with the practice of most, but not all, countries and comprises, as shown in Table 14.5, the monetary (non-imputed) individual consumption expenditure of the household sector (P.311) plus the implicit rent paid by homeowners on their own residences (P.313). Box 14.3 contains further discussion on housing and durables in the CPI consumption expenditure aggregate.

Table 14.4Use of income account with product detail for institutional units and sectorsLeft columns (Uses) show detail of far right column (Resources); SNA 1993 items in bold refer to flows in goods and services, sector titles in italics indicate whether the column appears in the use of income account for that sector
 Institutional unit ID: uuuuuuuu Institutional sector code: S.nnnnn Uses Resources P.31 Individual consumption expenditure P.32 Collective consumption xpenditure P.3 Final consumption expenditure (total, purchasers’ prices) B.6 Disposable income P.311 Monetary consumption expenditure P.312 Imputed expenditure on owner-occupied housing services P.314 Other individual consumption expenditure1 of households P.32 Collective consumption expenditure: general government S. 13 only P.313 Financial intermediation services implicitly measured (FISIM) CPC 0 Agriculture, forestry and fishery products CPC 0 Agriculture, forestry and fishery products CPC 0 Agriculture, forestry and fishery products CPC 0 Agriculture, forestry and fishery products CPC 1 Ores and mineral; electricity, gas, and water CPC 1 Ores and mineral; electricity, gas, and water CPC 1 Ores and mineral; electricity, gas, and water CPC 1 Ores and mineral; electricity, gas, and water CPC 2 Food products, beverages and tobacco; textiles, apparel and leather products CPC 2 Food products, beverages and tobacco; textiles, apparel and leather products CPC 2 Food products, beverages and tobacco; textiles, apparel and leather products CPC 2 Food products, beverages and tobacco; textiles, apparel and leather products CPC 3 Other transportable goods, except metal products, machinery and equipment CPC 3 Other transportable goods, except metal products, machinery and equipment CPC 3 Other transportable goods, except metal products, machinery and equipment CPC 3 Other transportable goods, except metal products, machinery and equipment CPC 4 Metal products, machinery and equipment CPC 4 Metal products, machinery and equipment CPC 4 Metal products, machinery and equipment CPC 4 Metal products, machinery and equipment CPC 6 Distributive trade services; lodging; food and beverage serving services; transport services; and utilities distribution services CPC 6 Distributive trade services; lodging; food and beverage serving services; transport services; and utilities distribution services CPC 6 Distributive trade services; lodging; food and beverage serving services; transport services; and utilities distribution services CPC 6 Distributive trade services; lodging; food and beverage serving services; transport services; and utilities distribution services CPC 7 Financial and related services; real estate services; and rental and leasing services CPC 7 Financial and related services; real estate services; and rental and leasing services CPC 7 Financial and related services; real estate services; and rental and leasing services2 CPC 7 Financial and related services; real estate services; and rental and leasing services CPC 7 Financial and related services; real estate services; and rental and leasing services CPC 8 Business and production services CPC 8 Business and production services CPC 8 Business and production services CPC 8 Business and production services CPC 9 Community, social and personal services CPC 9 Community, social and personal services CPC 9 Community, social and personal services CPC 9 Community, social and personal services D.8 Adjustment for the change the net equity of households pension funds B.8 Saving

The “Other individual consumption of households” comprises D.12 “Employers’ social contributions, consumption in-kind of goods and services supplied to households by their employers in lieu of cash wages, and consumption from the households’ own production of goods”. D.12 appears in the Generation of income Account and is a factor in the discussion of the price index of labour services to employers. Among “Employers’ social contributions” are provision of housing, transport, child care, medical insurance and services, and life insurance services. “Employers’ social contributions” also include contributions to pension plans, which are not consumption except for a small part attributable to pension administration services. The residual part of pension contributions is an important component of household saving.

In addition to the real estate, rental and leasing services of homeowners, the SNA 1993 treats financial services consumption expenditure as the sum of measured and imputed components. Measured expenditures comprise explicit service charges levied by financial institutions for deposit, loan, advisory services and the like, while imputed expenditures reflect the income forgone because the household does not lend (keep deposits with a financial institution) or borrow at a reference rate. In principle, these imputed expenditures, as well as those for other imputed consumption, are of the same market-equivalent valued type as for owner-occupied housing services and could be covered in the CPI.

The “Other individual consumption of households” comprises D.12 “Employers’ social contributions, consumption in-kind of goods and services supplied to households by their employers in lieu of cash wages, and consumption from the households’ own production of goods”. D.12 appears in the Generation of income Account and is a factor in the discussion of the price index of labour services to employers. Among “Employers’ social contributions” are provision of housing, transport, child care, medical insurance and services, and life insurance services. “Employers’ social contributions” also include contributions to pension plans, which are not consumption except for a small part attributable to pension administration services. The residual part of pension contributions is an important component of household saving.

In addition to the real estate, rental and leasing services of homeowners, the SNA 1993 treats financial services consumption expenditure as the sum of measured and imputed components. Measured expenditures comprise explicit service charges levied by financial institutions for deposit, loan, advisory services and the like, while imputed expenditures reflect the income forgone because the household does not lend (keep deposits with a financial institution) or borrow at a reference rate. In principle, these imputed expenditures, as well as those for other imputed consumption, are of the same market-equivalent valued type as for owner-occupied housing services and could be covered in the CPI.

Table 14.5Use of income account with product detail for the total economy

Non-profit institutions serving households.

P.313 Financial intermediation services implicitly measured (FISIM) are market services supplied to households by financial institutions and thus are Included along with the monetary consumption e Inflation or transaction CPIs, for example. They are separately distinguished from non-FISIM monetary expenditures here because they require implicit measurement comparing a market interest rate with a reference rate. Other monetary expen observation.

Non-profit institutions serving households.

P.313 Financial intermediation services implicitly measured (FISIM) are market services supplied to households by financial institutions and thus are Included along with the monetary consumption e Inflation or transaction CPIs, for example. They are separately distinguished from non-FISIM monetary expenditures here because they require implicit measurement comparing a market interest rate with a reference rate. Other monetary expen observation.

### Capital formation

14.46 Capital formation comprises: the accumulation of fixed tangible and intangible assets, such as equipment, structures and software; changes in inventories and work in progress; and acquisitions less disposals of valuables, such as works of art. These items are accounted for in the SNA capital account, which appears, with minor resorting, essentially as in Table 14.6 for each institutional unit. Net lending (+)¡net borrowing (—) is the balancing item of the capital account, making the uses on the left, comprising net acquisitions of stocks of various tangible and intangible items, add up to the resources on the right, comprising the sources of income financing them. From our earlier discussion on institutional units and establishments, it would be easy to conclude that the smallest economic unit to which the capital account can apply is the institutional unit. It was asserted earlier that only institutional units maintain balance sheets and can monitor the stock variables that are the focus of this account. Nevertheless, the physical capital assets for which changes are tracked in the capital account can and should be compiled, if possible, at the establishment/LKAU. Such data are particularly useful for productivity analysis, even though complete capital accounts cannot be compiled at the establishment level.

14.47Product detail in the capital account. As with the other goods and services-related accounts in the SNA 1993, the capital account’s goods and services items, designated by the codes P.5 with extensions, can be expanded by product type. The account therefore can be rearranged to show details of goods and services as in Table 14.7, which, as Table 14.6, may pertain to an institutional unit, an institutional sector aggregate, or the total economy. For an institutional unit, Table 14.6 contains the core set of items in the report form of the typical capital formation survey for the national accounts. Our focus is on the CPI here, and thus on the version of the form that typically would be part of the package a respondent would fill out in a household expenditure survey. In addition to the Central Product Classification (CPC), version 1.0 shown here, the SNA 1993, Annex V contains a Non-financial assets classification identifying the specific tangible, intangible, produced, and non-produced fixed assets, as the SNA 1993.

Table 14.6Capital accountItems In bold refer to flows of goods and services
 Institutional unit ID: uuuuuuuu Institutional sector: S.nnnnn Uses Resources P.5 Gross capital formation, of which: B.10.1 Changes in net worth due to saving and capital transfers, of which: P.51 Gross fixed capital formation P.511 Acquisitions less disposals of tangible fixed assets P.5111 Acquisitions of new tangible fixed assets P.5112 Acquisitions of existing tangible fixed assets P.5113 Disposals of existing tangible fixed assets P.512 Acquisitions less disposals of intangible fixed assets P.5121 Acquisitions of new intangible fixed assets P.5122 Acquisitions of existing intangible fixed assets P.5123 Disposals of existing intangible fixed assets P.513 Additions to the value of non-Produced non-financial assets P.5131 Major improvements to non-Produced non-financial assets P.5132 Costs of ownership transfer on non-produced non-financial assets P.52 Change in inventories P.53 Acquisitions less disposals of valuables B.8n Saving, net B.8 Saving (gross, from use of income account) K.1 Consumption of fixed capital (-) K.1 Consumption of fixed capital (-) K.2 Acquisitions less disposals of non-produced non-financial assets K.21 Acquisitions less disposals of land and other tangible non-produced assets K.22 Acquisitions less disposals of intangible non-produced assets D.9 Capital transfers receivable (+) D.91 Investment grants D.92 Other capital transfers receivable D.9 Capital transfers payable (—) D.91 Capital taxes payable D.91 Other capital transfers payable B.9 Net lending ( +) /net borrowing( -)
Table 14.7Capital account with product detail
 SNA 1993 items in bold refer to flows in goods and services Institutional unit ID: uuuuuuuu Institutional sector code: S.nnnnn B.10.1Changeinnet worth resulting from saving and capital transfers, with uses comprising P.51 Gross fixed capital formation P.52 Change in inventories1 P.53 Acquisitions ess disposals of valuables2 P.5 Gross capital formation P.511 Acquisitions less disposals of tangible fixed assets, of which:3 P.512 Acquisitions less disposals of intangible fixed assets, of which:4 P.513 Additions to the value of non-produced non-financial assets, of which:5 CPC 0 Agriculture, forestry and fishery products CPC 0 Agriculture, forestry and fishery products CPC 0 Agriculture, forestry and fishery products CPC 0 Agriculture, forestry and fishery products CPC 1 Ores and mineral; electricity, gas, and water CPC 1 Ores and mineral; electricity, gas, and water CPC 1 Ores and mineral; electricity, gas, and water CPC 2 Food products, beverages and tobacco; textiles, apparel and leather products CPC 2 Food products, beverages and tobacco; textiles, apparel and leather products CPC 2 Food products, beverages and tobacco; textiles, apparel and leather products CPC 3 Other transportable goods, except metal products, machinery and equipment CPC 3 Other transportable goods, except metal products, machinery and equipment CPC 3 Other transportable goods, except metal products, machinery and equipment CPC 4 Metal products, machinery and equipment CPC 4 Metal products, machinery and equipment CPC 4 Metal products, machinery and equipment CPC 4 Metal products, machinery and equipment CPC 5 Intangible assets; land; constructions; construction services Of which: CPC 5 Intangible assets; land; constructions; construction services CPC 5 Intangible assets; land; constructions; construction services CPC 5 Intangible assets; land; constructions; construction services CPC 5 Intangible assets; land; constructions; construction services P.511a Residential structures, Household sector S. 14 P.511b Other capital formation in CPC 5 K.1 Consumption of fixed capital K.2 Acquisitions less sposals of non-produced on-financial assets B.9 Net borrowing( -) / net lending( +)

SNA 1993 asset code AN. 12 Inventories. Excludes intangible assets, land, and constructions.

SNA 1993 asset code AN. 13 Valuables. Excludes intangible assets, land, constructions, and construction services.

SNA 1993 asset code AN.111 Tangible fixed assets. Excludes intangible assets, land, and construction services.

SNA 1993 asset code AN.112 Intangible fixed assets. Excludes land, constructions, and construction services.

SNA 1993 asset code AN.2 Non-produced assets. Excludes intangible assets, constructions, and construction services

SNA 1993 asset code AN. 12 Inventories. Excludes intangible assets, land, and constructions.

SNA 1993 asset code AN. 13 Valuables. Excludes intangible assets, land, constructions, and construction services.

SNA 1993 asset code AN.111 Tangible fixed assets. Excludes intangible assets, land, and construction services.

SNA 1993 asset code AN.112 Intangible fixed assets. Excludes land, constructions, and construction services.

SNA 1993 asset code AN.2 Non-produced assets. Excludes intangible assets, constructions, and construction services

14.48The expenditure aggregate of the CPI and the capital account. The CPI may be defined to include the household sector’s final expenditure not only for consumption but also for capital formation. This brings into the CPI expenditure aggregate the purchase of new residential structures or expenditure on major improvements to existing residential structures. Consumer price index expenditure aggregate #2 is defined as the monetary individual consumption expenditure of households P.311 in Table 14.5, which excludes all imputed expenditure, plus household expenditure on residential fixed capital formation shown as item P.511a Residential structures, Household sector S.14 (shown in a box in Table 14.7).

14.49 The external account of goods and services is shown in Table 14.8. It contains the transactions of the non-resident institutional units sector -S.2 Rest of the world - with the five types of resident units taken together and determines the trade deficit (B.ll) as imports (resources to rest of the world S.2) less exports (use or resources by the rest of the world). The external goods and services account generally is taken from the balance of payments, which uses adjusted merchandise trade information from the customs services for goods P. 61 and P.71, and assembles services data on P.62 and P.72 from various sources. For further details, see International Monetary Fund: Balance of payments manual (fifth edition, 1993). Although the account of external goods and services is shown as an aggregate of the external transactions of all resident institutional units by the SNA 1993, it may be possible to disaggregate it to distinguish the external goods and services expenditures of institutional sectors, hence the institutional sector designation S.I.nnnn at the top of Table 14.8 to include this possibility. Our principal interest would be in the household sector S.14 and its subsectors S.14nn, as these would relate to the CPI.

14.50Product detail in the external account of goods and services. As with the other accounts, the external goods and services account can be expanded to show product detail, as in Table 14.9. Regarding Table 14.9, the SNA 1993 states (SNA 1993, paragraph 15.68) that imported goods should be valued at cost-insurance-freight (cif) at the level of detailed products. On the other hand, the SNA 1993 requires that, in total, imports of goods be valued free-on-board (fob) at the border of the exporting country, thus excluding insurance and transport in a single adjustment to total imports of goods cif (SNA 1993 paragraphs 14.36-14.41). That part of freight services on imports provided by non-residents is included in imports of transport services, and that part of insurance services provided on imports by non-residents is added to imports of insurance services. Transport and insurance services provided by residents on imports are included in exports of transport and insurance services. This rather roundabout approach is taken to imports by product because, as a practical matter, it may be difficult to obtain insurance and freight charges on imports from customs administrative data systems at the product level of detail (see SNA 1993, paragraphs 14.40-14.41). Recent developments in computerized customs documentation have made the itemization of insurance and freight more straightforward, and the SNA 1993 does also allow for the possibility of determining imports by product at their fob values, consistent with the aggregate valuation of imports. If trade data are collected by a survey of resident institutional units, the core elements of the report form for such a survey would be as given in Table 14.9.

14.51The export and import price indices and the external account of goods and services. From the point of view of the residents of an economic territory, exports are a supply of goods and services to non-residents. The SNA, however, records exports from the non-resident’s point of view, as a non-resident use of goods and services supplied by residents. Accordingly, the relevant valuation principle for exports determining the behaviour of the non-resident user is the purchasers’ price. The SNA takes the purchasers’ price to the non-resident user to be the fob price at the frontier of the resident supplier’s economic territory or country.

14.52 From the resident’s point of view, imports are a use of goods and services supplied by non-residents. The SNA, however, records international trade from the non-resident’s point of view, as the supply of goods and services to residents by non-residents. Accordingly, the relevant valuation principle for imports determining the behaviour of the non-resident supplier is the basic price. The SNA takes the basic price to the non-resident supplier to be the fob price at the frontier of the non-resident supplier’s country in the rest of the world.

### The supply and use table

14.53 Arraying elements of resources and uses from the production account, use of income account, capital account, and external accounts of goods and services in a particular configuration, we can derive a format for the production portion of an analytical presentation of the data called a supply and use table (SUT). An SUT is shown in Table 14.10. It arrays various accounts relevant to monitoring developments in production and consumption within a country according to the supply and uses of goods and services.

14.54 In terms of the SNA 1993 codes, the supply of goods and services comes from:

• resident establishments (arranged in industries) in the form of domestic output (P.1), given by Y in equations (14.1) and (14.2);

• the rest of the world as imports (P.7), given by M in equations (14.1) and (14.2), adjusted for trade and transport margins and taxes less subsidies on products (D.21-D.31), given by Τ in equations (14.1) and (14.2);

and the uses of goods and services are for:

• current inputs into production by resident producers (arranged in industries) in the form of intermediate consumption (P.2), given by Ζ in equations (14.1) and (14.2);

• final domestic consumption, including individual consumption by resident households, resident nonprofit institutions serving households (NPISHs), and the government (P.31), and collective consumption by the government (P.32), given by, respectively, C and G in equations (14.1) and (14.2);

• capital formation by resident enterprises (P.5) (comprising fixed capital formation (P.51), inventory change (P.52), and acquisitions less disposals of valuables (P.53)), given by / in equations (14.1) and (14.2);

• export (P.6) and use by the rest of the world, given by X in equations (14.1) and (14.2).

Table 14.8External account of goods and servicesResident institutional units classified into sectors S. 1.nnnn with non-resident institutional units S.2; SNA 1993 goods and services items shown in bold
UsesResources
P.6Exports of goods and servicesP.7Imports of goods and services
P.61 Exports of goodsP.71 Imports of goods
P.62 Exports of servicesP.72 Imports of services
B.11External balance of goods and services
Table 14.9External account of goods and services with product detailResident Institutional units classified into sectors S. 1.nnnn with non-resident institutional units S.2; SNA 1993 goods and services items shown in bold
UsesResources
P.6Exports of goods and services

Export price index uses aggregate

P.61 Exports of goods

At fob values
P.7Imports of goods and servicesImport price index supply aggregate

P.71 Imports of goods

At fob values, of which: At cif values:1
CPCOAgriculture, forestry and fishery productsCPC 0Agriculture, forestry and fishery products
CPC 1Ores and mineral; electricity, gas, and waterCPC 1Ores and mineral; electricity, gas, and water
CPC 2Food products, beverages and tobacco; textiles. apparel and leather productsCPC 2Food products, beverages and tobacco; textiles, apparel and leather products
CPC 3Other transportable goods, except metal products, machinery and equipmentCPC 3Other transportable goods, except metal products, machinery and equipment
CPC 4Metal products, machinery and equipmentCPC 4Metal products, machinery and equipment
Less: Adjustment to total imports of goods cif for insurance and freight provided by both residents and non-residents for delivery to the first resident recipient.
P.62Exports of servicesP.72Imports of services
CPC 5Intangible assets; land: constructions; construction services3CPC 5Intangible assets; land; constructions: construction services2
CPC 6Distributive trade services; lodging; food and beverage serving services: transport services; and utilities distribution services, of which:CPC 6Distributive trade services; lodging; food and beverage serving services; transport services; and utilities distribution services, of which:
Distributive trade services; lodging; food and beverage serving services; transport services; and utilities distribution services; except transport services on imports and exports rendered by residentsDistributive trade services; lodging; food and beverage serving services; transport services; and utilities distribution services; except transport services on imports rendered by non-residents
Transport services on imports and exports rendered by residentsTransport services on imports and exports rendered by non-residents
CPC 7Financial and related services; real estate services; and rental and leasing services, of which:CPC 7Financial and related services; real estate services; and rental and leasing services, of which:
Financial and related services; real estate services; and rental and leasing services; except insurance services on imports rendered by residentsFinancial and related services; real estate services; and rental and leasing services; except insurance services on imports rendered by non-residents
Insurance services on imports rendered by non-residentsInsurance services on imports rendered by residents
CPC 8Business and production services Community, social and personal servicesCPC 8Business and production services
CPC 9Community, social and personal servicesCPC 9Community, social and personal services
B.11External balance of goods and services

The SNA 1993 values imports fob, bul it allows for the tact that while fob valuation by product would be consistent and preferred, compiling such data may be problematic at the product level of detail. Imports of goods cif by product may be all that are available because the insurance and freight data are often not separately compiled by product in customs systems (see SNA 1993, paragraph 15.68). Totals for these data may be obtained instead from resident and nonresident shippers in the process of compiling the balance of payments. Insurance and freight services provided by residents on imports are a services export. Regarding goods and services valuations in the import price and volume indices, see MPI in Tables 14.12 and 14.15, where it is explained that both fob and purchasers’ price valuations are important in constructing the MPI as a deflator for imports lob. Imports at purchasers’ prices would be imports cif plus import tariffs, as well as domestic insurance and freight for delivery to the first domestic owner.

Construction services only.

The SNA 1993 values imports fob, bul it allows for the tact that while fob valuation by product would be consistent and preferred, compiling such data may be problematic at the product level of detail. Imports of goods cif by product may be all that are available because the insurance and freight data are often not separately compiled by product in customs systems (see SNA 1993, paragraph 15.68). Totals for these data may be obtained instead from resident and nonresident shippers in the process of compiling the balance of payments. Insurance and freight services provided by residents on imports are a services export. Regarding goods and services valuations in the import price and volume indices, see MPI in Tables 14.12 and 14.15, where it is explained that both fob and purchasers’ price valuations are important in constructing the MPI as a deflator for imports lob. Imports at purchasers’ prices would be imports cif plus import tariffs, as well as domestic insurance and freight for delivery to the first domestic owner.

Construction services only.

Table 14.10.The supply and use table (SUT)Production account: double outlines and no shading; Use of income account: single outlines and no shading; Capital account: diagonal shading; External account of goods and services: vertical shading
 1The sum of items in this column is zero. It appears in the SUT but does not appear in the SNA 1993 sequence of accounts. This adjustment includes only transport, insurance, and distribution charges separately invoiced by resident establishments on goods produced by resident establishments. As a first stage in obtaining purchasers’ price values, it thus adjusts the basic price value of output by product to include separately invoiced transport, insurance and distribution charges on goods. 2Taxes and subsidies on products are shown in theSNA 1993 allocation oí primary income account for the general government institutional sector S.13, which derives the balancing item B.5 Balance of primary incomes (SNA 1993, Annex V, Table A.V.5). B.5 is B.2 Operating surplus plus D.2 Taxes on production and imports less D.3 Subsidies plus D.4 Property income (net). This account is the source of data for construction of this column in the SUT, when expanded to show product detail for the items D.21 Taxes on products and D.31 Subsidies on products. It includes taxes and subsidies on both domestic output and imports. 3As noted elsewhere, the SNA1993 values goods imports cif at the product level of detail but fob in total. Thus, theSNA 1993 presentation of goods imports in the supply matrix is the sum of P.7 imports fob and the cif/fob adjustment on goods imports shown in Table 14.10. To simplify this presentation of the SUT and clarify the nature of the negative adjustment to services, we assume that insurance and freight provided on imports can be compiled by product and thus imports fob can be compiled by product. Insurance and freight provided on imports by residents are already included in the insurance and transport rows of the P.1 matrix. 4The sum of items in this column is zero. It appears in the SUT but does not appear in any SNA 1993 account, insurance and freight on imports of goods by product provided by both residents and non-residents, including insurance and freight on imports provided by non-residents. Insurance and freight provided on imports by residents are included in the insurance and transport rows of the P.1 matrix.

14.55 Trade and transport margins do not appear in the standard sequence of accounts in the SNA 1993 because these accounts are not shown with product detail. Although these margins are non-zero for individual products, they add up to zero in total because the amount added to the domestic supply of goods comes from the domestic supply of distribution, insurance and transport services. Margins are thus shown in Table 14.10 separately for margins on domestic production and imports (cif/fob adjustment), because the SUT displays product detail down the columns. In the aggregate, of course, these adjustments for trade and transport margins on domestic production and the cif/fob adjustment for imports cancel each other out.

14.56 The SUT is primarily a matrix of flows of goods and services designed to highlight the relationship between production and consumption, not between institutional units per se. For example, households may undertake production in unincorporated enterprises for which activity appears in the production for own final use part of the SUT, but also consume goods and services, as represented in individual consumption. The current production transactions of the establishments of all institutional units are grouped together and summarized in one part of the SUT, and the remaining transactions are summarized and organized in another part. Each institutional sector, including households (S.14), has its own SUT in principle. The SUT for the total economy (S.1) is the cell-by-cell sum of the institutional sector SUTs.

## The consumer price index among major price indices

14.57 It is instructive at this point to associate the SUT with the component aggregates and matrices of the four major, headline price indices that are compiled by most countries. In so doing, we form a more precise impression of the central purpose of the major price indices in the overall economic statistical system represented by the SNA 1993. The four main price indices and their associated national accounts aggregates and matrices in the SUT are:

• –producer price index (PPI): output of resident producers (P.1);

• –consumer price index (CPI): final consumption of households (P.31) for CPI reference aggregate #1, plus gross fixed capital formation of households (P.51) for CPI reference aggregate #2;

• –export price index (XPI): exports (P.6);

• –import price index (MPI): imports (P.7).

14.58 The location and coverage of these major price indicators as they directly apply to goods and services value aggregates in the national accounts are shown dia-grammatically in Table 14.11. Chapter 15 characterizes a price index as a function of price relatives and weights, noting that, other than the formula for the index itself, the requisite features of the relatives and weights would be determined by the value aggregate. These factors are:

• –what items to include in the index;

• –how to determine the item prices;

• –what transactions that involve these items to include in the index;

• –from what source to draw the weights used in the selected index formula.

Based on our survey of the goods and services accounts of the SNA 1993 culminating in the SUT, these particulars for each of the four major indices can summarized as in Table 14.12.

### Scope of the expenditure aggregates of the consumer price index

14.59 As noted in paragraphs 14.6 and 14.7, there are two principal expenditure sub-aggregates of the total final expenditure of the households (S.14) institutional sector employed in most national CPIs that we can now see are transparently linked to the SNA:

• CPI reference aggregate #1, comprising the consumption items:

P.311 Monetary consumption expenditure (Table 14.5)

P.313 Financial intermediation services implicitly measured (FISIM) (Table 14.5) P.312 Imputed expenditure on owner-occupied housing services (Table 14.5)

• CPI reference aggregate #2, comprising the consumption and capital formation items:

P.311 Monetary consumption expenditure (Table 14.5)

P.313 Financial intermediation services implicitly measured (FISIM) (Table 14.5) P.511a Gross fixed capital formation in residential structures (Table 14.9)

14.60 Proponents of CPI reference aggregate #1 generally take a consumption or cost of living view of the CPI, seeing household welfare as determined by the flow of goods and services, including the services of residential structures that are owned wholly or in part by the occupants, that households consume. On this view, households’ fixed capital formation, which is effectively limited to the purchase of residences for own use, is a business-related activity of unincorporated enterprises that households own and thus not in the scope of the CPI. The customary version of aggregate #1 excludes non-housing consumption from own production P.314. Although compensation in kind in the form of benefits provided by the employer is an important part of this item, households often are only vaguely aware of its value, since the employer actually makes the payments to the providers of the benefits. An argument nevertheless could be made for including this item, as households sometimes are able to exercise control over how this part of their compensation income is spent.

Table 14.11Location and coverage of major price indices: Columns in the supply and use table
Total supplyThe effective coverage of the major indices is shown by shaded areas
SNA 1993 transactionP.1 Output, of which, establishments producing principallyTransport and distribution margin adjustmentTaxes less subsidies on domestic productsP.7 Imports, fobCif/fob adjustmentTaxes less subsidies on imports
P.11 Market outputP.12 Output for own final useP. 13 Other non-market outputImports at purchasers’ prices
PPI reference aggregate
MPI reference aggregate
Resources by product: GoodsProduct × IndustryProduct × IndustryProduct × IndustryProduct ×1

+
Product × 1Product × 1Product × 1Product × 1
Resources by product: Services-
Total resources0
Final uses
SNA 1993 transactionP.31 Individual consumptionP.32 Collective consumptionP.5 Gross capital formationP.6 Exports, fob
SNA 1993 institutional sectorHouseholds S.14Government S.13

NPISHs1 S.15
Government S.13Households S.14All institutional sectors, except householdsAll institutional sectors
Detailed expenditure categoriesP.311 Monetary consumption

P.313 FISIM2
P.312 Imputed rent of owner-occupantsP.314 Other imputed individual consumption expenditureD.36 Social transfers in kindP.51 Gross fixed capital formationP.52 Inventories

P.53 valuables
Output (at basic prices) sold to nonresidentsTaxes less subsidies on export products, transport to international shipment point
P.511a Residential structures for own useOther fixed capital formation
CPI reference aggregate #1
CPI reference aggregate #2
XPI reference aggregate
Expenditures by product: GoodsProduct × 1Product × 1Product × 1Product × 1Product × 1Product × 1Product × 1Product × 1Product × 1Product × 1Product × 1
Expenditures by product: Services
Total expenditure

Non-profit institutions serving households.

Financial intermediation services implicitly measured.

Non-profit institutions serving households.

Financial intermediation services implicitly measured.

Table 14.12Definition of scope, price relatives, coverage and weights for major price indices
IndexItems to includePrice determinationTransactions coverageSources of weights
PPIAll types of domestically produced or processed goods and services that are valued at market pricesBasic prices, determined for goods as the date when available for sale (available for change of ownership) or service price when service renderedOutput of resident enterprises, comprising sales plus change in finished goods inventories for goods, and sales for servicesThe product by Industry matrices of Market output P.11 and Output for own final use P.12 in the expanded Industry production account and the supply and use table (SUT)
CPIReference expenditure aggregate #1:

All types of goods and services purchased explicitly or implicitly by households for individual consumption
Purchasers’ prices, determined for goods on the change of ownership date and for services when used, including taxes on products, excluding subsidies on products, and including transport and distribution marginsReference expenditure aggregate #1:

Consumption expenditures of the Households sector S.13 of institutional units, excluding consumption from own production except for imputed expenditures for rental of owner-occupied dwellings
Reference expenditure aggregate #1:

The product column of the CPI consumption sub-aggregate of Individual consumption P.31 of the Household sector S.13 in the expanded Use of income account and in the SUT
Reference expenditure aggregate #2:Reference expenditure aggregate #2:Reference expenditure aggregate #2:
All types of goods and services purchased explicitly by households for individual consumption, plus all types of goods and services purchased explicitly by households for residential capital formationReference expenditure aggregate #1, less imputed expenditures for rental of owner-occupied dwellings, plus net acquisition of or major improvements in residential housingThe product column of the monetary consumption sub-aggregate of individual consumption P.31 of the Household sector S.13 in the expanded Use of income account plus the product column of acquisitions less disposals of fixed assets Ρ.511 for residential housing
XPIAll types of transportable goods and services purchased by non-residents from residents. Goods exported without change of ownership for significant processing by non-residents and subsequent re-import are includedPurchasers’ prices at the national frontier of the exporting country (fob), including export taxes and excluding export subsidies, and including trans cor and distribution margins from the production location to the national frontierAll transportable goods and services produced or processed by residents and purchased by non-residents t except goods in transit or goods exported and minimally processed by non-residents for re-importThe product column of Exports P,6 in the expanded External account of goods and services and the SUT
MPIAll types of transportable goods and services purchased by residents from non-residents. Goods imported without change of ownership for significant processing by residents and subsequent re-export are includedBasic prices at the national frontier of the exporting country (fob), excluding import taxes and including import subsidies, and excluding transport and distribution margins from the production location to the national frontier1All transportable goods and services produced or processed by nonresidents and purchased by residents except goods in transit or goods imported and minimally processed by residents for re-exportThe product column of Imports P.7 in the expanded External account of goods and services and the SUT
PPI = producer price index; CPI = consumer price index; XPI = export price index; MPI = import price index.

In defining the Import price index, however, the price index maker would, in fact, first consider an economic input price index valuing imported goods and services at the purchasers’ price payable by their first resident owner. The import price index would be obtained by adjusting (multiplying) the Import purchasers’ price index by a “markdown” index tracking the movement in the ratio of imports fob to imports at purchasers’ prices. This is required tor it to be properly matched in valuation with imports fob and yield the conceptually correct import volume Index when used as an Imports fob deflator.

In defining the Import price index, however, the price index maker would, in fact, first consider an economic input price index valuing imported goods and services at the purchasers’ price payable by their first resident owner. The import price index would be obtained by adjusting (multiplying) the Import purchasers’ price index by a “markdown” index tracking the movement in the ratio of imports fob to imports at purchasers’ prices. This is required tor it to be properly matched in valuation with imports fob and yield the conceptually correct import volume Index when used as an Imports fob deflator.

14.61 Proponents of CPI reference aggregate #2 generally take a transactions or inflation view of the CPI, tailoring the index to measuring the rate of change in the prices of an expenditure aggregate broadly covering the monetary final expenditures that households make on goods and services, including their capital formation in residential structures via purchase of their own dwellings and the major improvements they make to them.

14.62 Both CPI concepts are useful. The cost of living view provides a price index whose dual is the volume of household consumption. The inflation view provides a price index whose dual is the volume of households’ final monetary purchases, which represent the demand pressure they put on the markets in which they participate. Table 14.11 illustrates the coverage of both indices.

### The consumer price index as a measure of inflation in market transactions

14.63 Central banks take an interest in the major price indices, particularly if they are implementing a monetary policy that targets inflation. Indeed, reference aggregate #2 has been seen as a better measure of change in the prices of actual transactions in goods and services than CPIs based on reference aggregate #1. which gives substantial weight to the imputed rent of owner-occupied housing.

14.64 Both reference aggregates for the CPI are an important component of total final expenditure and GDP in virtually all countries, but the total value of transactions in goods and services also includes intermediate consumption, so as an inflation index for total goods and services transactions, the CPI’s coverage is rather limited under either definition #1 or #2 compared with, for example, the PPI, which covers, in principle, total output. Progress in extending the industry coverage of the PPI to cover all output-producing activities, services in particular, has. however, proceeded slowly owing to the technical difficulty of specifying service products and measuring the associated prices. The combination of the PPI, covering output, and the import price index provides a price index for total market supply, and is seen by at least one monetary authority as a useful inflation measure. Another central bank targets the total domestic supply price index, which is based on total supply less exports (that is, covering the aggregate comprising output plus imports minus exports).

14.65 The CPI’s purchasers’ price valuation principle also includes taxes less subsidies on products, which may not be desired in an inflation indicator for underlying price change. Nevertheless, the CPI is the most widely available macroeconomic price statistic, and may in many countries be the only available option for inflation measurement. Monetary authorities also may find the CPI the most socially acceptable inflation target precisely because of its focus on households.

### Treatment of cross-border shopping in the consumer price index

14.66 Exports P.6 are not an expenditure of any resident institutional unit and thus would not be the focus of a price index covering its expenditure. By implication, they would not appear in any CPI expenditure aggregate. Imports are, however, an expenditure of resident units and it is often relevant to consider the importance of imports in the expenditure aggregates of such units. In many countries, imports acquired by households directly through cross-border shopping are a significant fraction of household consumption expenditure.

14.67 Of particular note here is that imported goods P.71 and services P.72 in Table 14.8 for the household sector would contain only the direct expenditures of households on goods and services secured from nonresidents, that is, in cross-border shopping. This should include purchases of transportable goods and services by households from non-resident suppliers through all means, including in person, by mail order and through the Internet. These expenditures in transactions with non-residents are already covered in households’ individual consumption P.31 and capital formation P.5, so the purpose of identifying imports P.7 in the context of the CPI is to identify the importance of transactions with non-residents in the final expenditure aggregates of households and that part of those aggregates covered by the CPI expenditure aggregate.

14.68 Note that under both CPI reference aggregates #1 and #2 we would include expenditures on consumption goods and services provided by non-residents to resident households as the imported component of Individual consumption P.31. To assess the importance of imports when considering CPI reference expenditure aggregate #2, we also would include households’ Fixed capital formation P.51 expenditures on imported transportable goods such as building materials for residences, as well as residential construction services provided by non-residents.

## Other price indicators in the national accounts

### Price indices for total supply

14.69 Consistent with our earlier discussion of the coverage of the PPI. we define total market-valued output as the sum of market output P. 11 and output for own final use P.12. Total output P.1 is the sum of market-valued output and other non-market output P.13. Total supply at basic prices is the sum of output and imports P.7. Mark-up adjustments at the product level for trade and transport margins on domestic production, insurance and freight on imports, and taxes D.21 less subsidies D.31 on products would be added to total supply at basic prices to produce total supply at purchasers’ prices.

14.70 In decomposing total supply into price and volume components, the total supply price index (SPI) at basic prices can be seen to be a weighted mean of the total output price index YPI and the import price index MPI. The YPI comprises in turn the PPI and an implicit deflator index (IDI) for other non-market output. To obtain the price index for total supply at purchasers’ prices, the SPI would be multiplied by an index of the total mark-up for trade, insurance, and transport margins, and taxes net of subsidies on products. The margins only matter when developing supply price indices at purchasers’ prices for individual products and product sub-aggregates. For all products, they cancel out, leaving only taxes less subsides on products contributing to the total mark-up on total supply at basic prices. Total supply price indices at product levels of detail are useful in compiling and reconciling discrepancies in supply and use tables expressed in volume terms. In addition, they are employed in producing industry price indices for intermediate consumption P.2, which are useful for compiling gross domestic product (GDP) volume measures from the production approach. Although principally used as a compilation aid and in deflation of value added at basic prices via the double deflation approach (see paragraphs 14.71 and 14.73), supply price indices could also serve as analytical indicators in their own right because of their coverage of all goods and services transactions in the economy relating to production and external trade. As such, they may be useful as indicators for the analysis and evaluation of economic policy, where broad coverage of transactions is required, for example in formulating monetary policy.

### Price indices for intermediate consumption

14.71 In considering intermediate consumption price indices (IPIs) for the total economy and for industry, the weights correspond to a column-wise reading of the intermediate consumption part of the SUT’s use matrix, which is derived from Table 14.2 and shown in Table 14.10 as the region labelled P.2. Because the various margins on basic prices inherent in prevailing purchasers’ prices may vary from user industry to user industry, the ideal sources for purchasers’ prices for intermediate consumption price indices would be enterprise surveys. Unfortunately, such surveys are generally burdensome and expensive. Instead, as noted in the discussion above on price indices for total supply, the price index of intermediate consumption by industry can be derived from detailed product components of the SPI, which will result in indices of acceptable accuracy if the variation in the total tax, subsidy, transport and distribution margin is not too great from industry to industry within product class. For the total economy, the price index of intermediate consumption is obtained as a weighted average of industries’ intermediate input price indices, where the weights are the share of each industry’s intermediate consumption in the total intermediate consumption in the economy.

### Price indices for final uses

14.72 The price indices for final use comprise deflators for individual consumption P.31, collective consumption P.32, gross fixed capital formation P.51, change in inventories P.52, acquisitions less disposals of valuables P.53 and exports P.6. Of the major price indices discussed above, the CPI is the principal source of detailed (product level) information for P.31, while the PPI is a significant source of detailed information for P.51 and the principal source for the finished goods component of P.52. When the CPI is defined on the basis of CPI reference expenditure aggregate #2, the CPI could also be the source of data on capital formation in residential structures. The SPI may be the principal source for the input inventories component of P.52 in the absence of a detailed survey of the purchase price of intermediate inputs, and the XPI is the deflator for P.6. The SPI can serve, as well, as a source of detailed product information for P.32, P.51 and P.53. We will designate the deflator for total final uses as the final uses price index (FPI), which would be computed as a weighted mean (formula to be determined) of the component indices just discussed.

### Price indices for gross domestic product

14.73 As noted above in the discussion of the SPI and the intermediate consumption price index, the GDP price index can be compiled in two ways, corresponding to the two goods and services methods of compiling GDP: the production approach and the expenditure approach. Recall that the production approach derives from the definition of value added implicit in equation (14.2), as the difference between output P.1 (at basic prices) and intermediate consumption P.2 (at purchasers’ prices). The SNA 1993 recommends the use of double deflation for value added, by which output at basic prices Y is deflated by all the items YPI to obtain output volume, and intermediate purchases are deflated by an intermediate purchases price index to obtain intermediate input volume. Real value added is then computed as the difference between output volume and intermediate input volume (see SNA 1993, Chapter XVI). This operation is equivalent to deflating value added in current prices with a double deflation-type price index having a positive weight on the YPI and a negative weight on the IPI. In the usual case just described, we have the value added deflator as a Paasche index of the output price index YPIs,t and the intermediate input price index IPIs,t, where the weight on the ΙΡIs,t is

Table 14.13Generation of income account for establishment, institutional unit or institutional sectorGeneration of income account for establishment, institutional unit or institutional sector
UsesResources
D.1Compensation of employeesB.1 Value added1
D.11Wages and salaries
D.12Employers’ social contributions
D.121 Employers’ actual social contributions
D.122 Employers’ imputed social contributions
D.2Taxes on production and imports
D.29Other taxes on production2
D.3Subsidies
D.39Other subsidies on production (—)3
B.2Operating surplus4

From the production account,

Taxes on production unrelated to products.

Subsidles on production unrelated to products.

Balancing item of the generation of income account.

From the production account,

Taxes on production unrelated to products.

Subsidles on production unrelated to products.

Balancing item of the generation of income account.

and the weight on the YPIS,t is 1—wij. The corresponding volume index has the Laspeyres or “constant price” form, which is equivalent to the double deflation measure of the volume of real value added divided by current price value added in period s. The total value added at current basic prices divided by real value added, obtained via double deflation, yields the implicit deflator for value added at basic prices. Finally, the GDP deflator at purchasers’ prices is the value added price index (at basic prices for output and purchasers’ prices for intermediate input) multiplied by the index of the mark-up on value added of output taxes less output subsidies on products.

14.74 Alternatively, the final expenditure deflator FPI may be combined with the MPI using a double deflation-type approach. GDP volume is calculated from expenditure data by deflating imports P.7 by the MPI, and subtracting the result from the volume of final uses, calculated by deflating final uses by the FPI. The implicit GDP deflator would be the ratio of GDP at current prices to GDP volume so calculated. The aggregate index of GDP volume and the aggregate index of real value added should agree with one another, as should, by implication, the implicit GDP deflator calculated from the two approaches.

### Price indices for labour services

14.75 Value added appears first in the production account, calculated as the balancing item between output and intermediate consumption. This margin is used to pay for, among other things, labour services. The SNA 1993 provides for the income components comprising value added in the generation of income account, shown in Table 14.13. The largest of the income components itemized in this account is compensation of employees D.1, comprising wages and salaries D.11 and employers’ social contributions D. Ï2. D.1 represents a value aggregate for a flow of labour services and is thus susceptible to decomposition into price and volume components. Table 14.14 shows the same account expanded by type of labour service (occupation) for an establishment or industry. The price index for labour services (LPI) measures developments in total compensation, by occupation, within industry. The price of labour services in total compensation terms is of particular interest when compared with the GDP deflator, which indicates the relative purchasing power of labour compensation in terms of production for final consumption. This comparison is useful in assessing cost-push pressures on output prices and as an input into compiling measures of the productivity of labour. A second useful comparison is between the wages and salaries sub-index of the LPI and the CPI. The ratio of the LPI to the CPI indicates the purchasing power of wages in terms of consumption goods and services, and tracks the material welfare, particularly of the employees subsector S.143 of the household institutional sector S.14 (see Box 14.1 on page 23S). In the LPI, the price of labour services comprises all the components of compensation of employees, including employers’ social contributions (benefits), as well as wages and salaries. The wages and salaries sub-index of the LPI would be another example of a price index adjusted by a mark-up index. Analogously with the price index for total supply at purchasers’ prices or for GDP by production in Table 14.10, the LPI would be adjusted in this case by a “markdown index”, deducting employers’ social contributions.

## Framework for a system of price statistics for goods and services

14.76 To summarize this overview of the main price indicators and the national accounts, Table 14.15 shows in tabular form the price indices needed for the value aggregates in the national accounts and their relation to the four main price indicators. Indices that are functions of two other indices are shown with the notation

where f is an index formula, I1 and I2 are price indices, w is the weight of the second index, with the weight of the first index understood to be 1—w. For example, if f is the Laspeyres formula, then the output price index (YPI) would be calculated by making the following substitutions: $P\underset{L}{s,t}={}_{YPI}s,t\phantom{\rule[-0.0ex]{0.4em}{0.0ex}}r\underset{1}{s,t}={PPI}^{s,t},\text{\hspace{0.17em}}w\stackrel{s}{1}=1-w\stackrel{s}{D,\text{\hspace{0.17em}}{r}_{2}^{s,t}=}{w}_{2}^{s}={w}_{D}^{s}$. f could also be chosen as a Paasche formula (with the same substitutions except for change in the time superscript on the weights ${w}_{1}^{t}=1-{w}_{D}^{t}$ and ${w}_{2}^{t}={w}_{D}^{t}$ Fisher ideal formula, or other index formula.

Table 14.14Generation of income account for establishment and industry with labour services (occupational1) detailSNA 1993 goods and services items shown in bold
Establishment ID: eeeeeeeeActivity/Industry code (ISIC): aaaa

Market status: P.1n
Institutional unit ID: uuuuuuuu

Institutional sector code: S.nnnnn
UsesResources
D.11 Wages and salariesD.12 Employers’ social contributionsD.1 Compensation of employeesB.1 Value added2
1: Legislators, senior officials and managers1: Legislators, senior officials and managers1: Legislators, senior officials and managers
2: Professionals2: Professionals2: Professionals
3: Technicians and associate professionals3: Technicians and associate professionals3: Technicians and associate professionals
4: Clerks4: Clerks4: Clerks
5: Service workers and shop and market sales workers5: Service workers and shop and market sales workers5: Service workers and shop and market sales workers
6: Skilled agricultural and fishery workers6: Skilled agricultural and fishery workers6: Skilled agricultural and fishery workers
7: Craft and related trades workers7: Craft and related trades workers7: Craft and related trades workers
8: Plant and machine operators and assemblers8: Plant and machine operators and assemblers8: Plant and machine operators and assemblers
9: Elementary occupations9: Elementary occupations9: Elementary occupations
0: Armed forces0: Armed forces0: Armed forces
D.2 Taxes on production and imports

D.29 Other taxes on production
D.3 Subsidies (-)

D.39 Other subsidies on production
B.2 Operating surplus3

Showing major groups of ILO: International Standard Classification of Occupations 1988 (ISCO-88) (Geneva, 1990).

From the production account.

Balancing item of the generation of income account.

Showing major groups of ILO: International Standard Classification of Occupations 1988 (ISCO-88) (Geneva, 1990).

From the production account.

Balancing item of the generation of income account.

## International comparisons of expenditure on goods and services

14.77 The main price statistics discussed thus far trace price developments of goods and services through time. Purchasing power parities (PPPs) compare price levels between different countries or geographical areas for a given accounting period and are generally used to eliminate the effect of prices in different currency units when comparing the levels of GDP between two countries or areas. The price relatives in bilateral PPPs comprise the ratios of the local currency prices of identical goods and services between the two countries or areas. The weights are proportional to the shares of these items in expenditure on GDP within the two countries or areas. The sources of price relatives are the same as those for the final uses GDP deflator, and the weights are simply the total final uses, net of imports fob, by product. In order to ensure that the PPP between area A and area B; is the reciprocal of the PPP between B and A, bilateral PPPs need to be computed using symmetric index numbers such as the Fisher.

14.78 A matrix of bilateral PPPs provides a means of making not only direct bilateral comparisons, but also bilateral comparisons between any two areas as the product of a sequence of bilateral PPPs through any set of intervening areas, beginning with the first area and ending with the second. In order to ensure the consistency of such multilateral comparisons - for example, that a chain beginning with a given area and ending with the same area produces a PPP of unity -bilateral PPPs are adjusted to produce a transitive set of comparisons.

14.79 The four main index series dealt with in this chapter are related to PPPs because the prices collected for the CPI, PPI, XPI and MPI, in addition to their use in these temporal indices and in the temporal GDP price index, can also be used in international comparisons of expenditures on consumption, capital formation and trade. See Annex 4 on the International Comparison Program for further details on PPPs.

Table 14.15A framework for price statistics
SNA 1993 aggregateSNA 1993 transaction codes1Valuation and needed detailSNA 1993 source accountPrice index2Derivation from other price indices
Supply
Market-valued outputP.11 + P.12Basic prices, product by industryProduction account with industry and product detail, total economy S.1Producer price index (PPI)
Other non-market output3P.13Basic prices (cost of production), product by industryProduction account with industry and product detail, total economy S.1Implicit deflator for other non-market output (IDI)Derived from volume indicator
Total outputP.1 = P.11 + P.12 + P.13Basic prices, by productProduction account with industry and product detail, total economy S.1Output price index (YPI)$YPI=f\left(PPI,IDI;{w}_{m}\right)=\frac{P.13}{P.1}\right)$
ImportsP.7Basic prices (goods fob frontier of exporting country, Including the freight and insurance on imports provided by non-residents), by productExternal transactions In goods and services account with product detail, total economy S.1Import price index (MPI), comprising an import purchasers’ price index multiplied by an fob/purchasers’ price markdown index
Total supply, basic pricesP.1 +P.7Basic prices, by productSupply and use table, total economy S.1Supply price index (SPI)$SPI=f\left(MPI,YPI;{w}_{y}\right),{w}_{y}=\frac{P.1}{P.1+P.7}$
Total domestic supplyP.1 + P.7-P.6Basic prices, by product (P.1 and P.7); purchasers’ prices (P.6 exports fob, see “Uses” entry below)Supply and use table, total economy S.1Domestic supply price index (DSPI)$SPI=f\left(MPI,YPI,XPI;\text{\hspace{0.17em}}{w}_{y},{w}_{x}\right),\phantom{\rule{0ex}{0ex}}\text{\hspace{0.17em}}{w}_{y}=\frac{P.1}{P.1+P.7-P.6},\text{\hspace{0.17em}}\text{\hspace{0.17em}}{w}_{x}=\frac{P.6}{P.1+P.7-P.6}$
Domestic trade, Insurance, and transport margin adjustmentBasic prices, for services provided for transport and distribution within national frontiers, by productSupply and use table, total economy S.1Supply mark-up index (SMI)$SMI=\frac{\frac{{}_{P.1}t{}_{+P.7}t+{}_{+D.21}t-{}_{D.31}t}{{}_{P.1}t{}_{+P.7}t}}{\frac{{}_{P.1}s{}_{+P.7}s+{}_{+D.21}s-{}_{D.31}s}{{}_{P.1}s{}_{+P.7}s}}$(in the aggregate). Product-level total output mark-up indices would also include trade and transport margins in the numerator of the above expression
Freight and insurance on imports adjustmentBasic prices (for services provided from exporter frontier to domestic frontier, regardless of residency of provider), by productSupply and use table, total economy S.1
Taxes less subsidies on productsD.21-D.31Payable, by productAllocation of primary income account, general government sector S.13
Total supply, purchasers’ pricesP.11 + P.12 + P.7 + D.21-D.31Purchasers’ pricesSPI × SMI
Uses
Intermediate consumptionP.2Purchasers’ prices, products by industriesProduction account with product and industry detail, total economy S.1Intermediate consumption price index (IPI)Usually incorporates product-level information from the total supply price index at purchasers’ prices
Individual consumptionP.31Purchasers’ prices, by productUse of income account with product detail, total economy S.1Household consumption price index (HPI)Incorporates the CPI, and may incorporate product-level information from the CPI and PPI regarding goods and services produced from own consumption and provided to individuals by NPISHs and general government
Household sector S.14P.31, except imputed consumption and consumption from production for own final use, but including Imputed rent of home-ownersPurchasers’ prices, by productUse of income account with product detail, household sector S.14, with special sub-classification of P.31Consumer price Index (CPI) and other sub-indices as needed
Collective consumptionP.32Purchasers’ prices, by productUse of income account with product detail, general government sector S.13Government price index (GPI)May incorporate product indices from the CPI and PPI
Gross fixed capital formationP.51Purchasers’ prices, by productCapital account with product detail, total economy S.1Fixed capital formation price index (KPI)May incorporate product indices from the PPI
Change in inventoriesP.52Purchasers’ prices, by productCapital account with product detail, total economy S.1Inventory price index (NPI)Price index of inventory stocks
Acquisitions less disposals of valuablesP.53Purchasers’ prices, by productCapital account with product detail, total economy S.1Valuables price index (VPI)Price index of valuables stocks
ExportsP.6Purchasers’ prices (fob domestic frontier), by productExternal transactions in goods and services account with product detail, total economy S.1Export price index (XPI)
Total final usesP.3 + P.5 + P.6Purchasers’ prices, by productSupply and use table, total economy S.1Total uses price index (FPI)$\begin{array}{c}\begin{array}{c}\begin{array}{c}\begin{array}{c}\begin{array}{c}\begin{array}{c}\underset{wher{e}^{4}}{FPI=}f\left(HPI,GPI,KPI,NPI,VPI,XPI,\stackrel{\to }{w}\right)\\ \stackrel{\to }{w}={\left[{w}_{G},{w}_{K},{w}_{N},{w}_{V},{w}_{X}\right]}^{3}\text{\hspace{0.17em}}and\end{array}\\ {w}_{K}=\frac{P.51}{P.3+P.4+P.5+P.6},\end{array}\\ {w}_{G}=\frac{P.32}{P.3+P.4+P.5+P.6},\end{array}\\ {w}_{N}=\frac{P.52}{P.3+P.4+P.5+P.6},\end{array}\\ {w}_{V}=\frac{P.53}{P.3+P.4+P.5+P.6}.\end{array}\\ {w}_{X}=\frac{P.6}{P.3+P.4+P.5+P.6}\end{array}$
Gross domestic product
Gross domestic productGDP = P.3 + P.5 + P.6-P.7, or

GDP = P.1-P.2 + D.21-D.31
By product when assembled from final consumption net of imports

By industry when assembled from value added at basic prices, with industry and total value added price indices adjusted by a mark-up factor for taxes net of subsidies on products
Supply and use table, total economy S.1GDP deflator$\begin{array}{c}\begin{array}{c}\begin{array}{c}\begin{array}{c}GDPdeflator\phantom{\rule[-0.0ex]{0.1em}{0.0ex}}\phantom{\rule[-0.0ex]{0.4em}{0.0ex}}=f\left(FPI,\text{\hspace{0.17em}}MPI,\text{\hspace{0.17em}}{W}_{M\right),}\right)\\ {\begin{array}{c}where\end{array}}^{5}\end{array}\\ {w}_{M}\phantom{\rule[-0.0ex]{0.4em}{0.0ex}}=\frac{-P.7}{GDP}\end{array}\\ {w}_{J}\phantom{\rule[-0.0ex]{0.4em}{0.0ex}}=\frac{-P{.2}^{4}}{GDP}\end{array}\\ SMI*=\frac{\frac{P{.1}^{t}-P{.2}^{t}+D{.21}^{t}-D{.31}^{t}}{P{.1}^{t}-P{.2}^{t}}}{\frac{P{.1}^{t}-P{.2}^{t}+D{.21}^{s}-D{.31}^{s}}{P{.1}^{s}-P{.2}^{s}}}\end{array}$

(in the aggregate)

Industry-level value added mark-up

indices SMI* would include the total

trade and transport margins on output in the

numerator
Compensation of employeesD.1By industry and occupationGeneration of income account, total economy S.1Employment cost index

P.11 = market output, P.12 = output for own final use, D.21 = taxes on products, and D.31 = subsidies on products.

The four major price indices are shown in bold.

This category comprises public services output provided free of charge or at economically insignificant prices by general government and non-profit institutions serving households (NPISHs). This output is valued at cost because it has no market comparator. A price index cannot be directly constructed for this aggregate because there are no economically significant prices for other non-market output. The implicit deflator for other non-market output P.13 is derived by dividing a directly compiled volume indicator into the value of other non-market output. 4Unlike our other aggregations of indices that involve the combination of two component indices, we show the FPI as a simultaneous aggregation of six price Indices for the components of final uses. Again, f can be any of the indices introduced in Chapters 1 and 15, with the weight of the first item, here of individual consumption P.31, determined as one minus the rest of the weights, and the price relatives given by the list of index arguments. 5The negative weight of the second index argument of both of these formulae for GDP is an indication that they represent a “double deflation-type” price index (see SNA 1993, Chapter XVI, Section E).

P.11 = market output, P.12 = output for own final use, D.21 = taxes on products, and D.31 = subsidies on products.

The four major price indices are shown in bold.

This category comprises public services output provided free of charge or at economically insignificant prices by general government and non-profit institutions serving households (NPISHs). This output is valued at cost because it has no market comparator. A price index cannot be directly constructed for this aggregate because there are no economically significant prices for other non-market output. The implicit deflator for other non-market output P.13 is derived by dividing a directly compiled volume indicator into the value of other non-market output. 4Unlike our other aggregations of indices that involve the combination of two component indices, we show the FPI as a simultaneous aggregation of six price Indices for the components of final uses. Again, f can be any of the indices introduced in Chapters 1 and 15, with the weight of the first item, here of individual consumption P.31, determined as one minus the rest of the weights, and the price relatives given by the list of index arguments. 5The negative weight of the second index argument of both of these formulae for GDP is an indication that they represent a “double deflation-type” price index (see SNA 1993, Chapter XVI, Section E).