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Capital formation and stocks (nama_10_nfa)

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National Reference Metadata in Euro SDMX Metadata Structure (ESMS)

Compiling agency: [DK1] Statistics Denmark

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Fixed assets are compiled in accordance with the principles of the European System of National and Regional Accounts (ESA 2010). The compilation covers:

  • Gross fixed capital formation
  • Gross capital stock
  • Net capital stock
  • Consumption of fixed capital
  • Other volume changes in non-financial assets
  • Revaluations (nominal and real)

The compilation follows a cohort-based approach where gross fixed capital formation is distributed over the service life of the assets using age-efficiency profiles. Service lives, depreciation patterns and price series are set in line with international guidelines and ongoing empirical assessments.

11 May 2026

Consumption of Fixed Capital: Consumption of fixed capital is the decline, during the course of the accounting period, in the current value of the stock of fixed assets owned and used by a producer as a result of physical deterioration, normal obsolescence or normal accidental damage.

Gross capital formation: Capital formation includes both gross fixed capital formation and changes in inventories.

Gross fixed capital formation are expenditure for durable goods that are used in production processes for more than one year. E.g. it can be expenditure as regards to acquisition of machinery and equipment and for the construction of buildings as well as research and development.

Changes in inventories are the value of changes in the industries' inventories, e.g. increases in stocks of raw materials and manufactured goods in the manufacturing industry and stocks within wholesale and retail trade.

Gross Stock: Gross capital stock is the value of all fixed assets still in use, at the actual or estimated current purchasers’ prices for new assets of the same type, irrespective of the age of the assets

Net Stock: Net capital stock is the sum of the written-down values of all the fixed assets still in use is described as the net capital stock; it can also be described as the difference between gross capital stock and consumption of fixed capital.

Other Volume Changes in Non-financial Assets n.e.c.: Other Volume Changes in Non-financial Assets records abnormal changes to the level of capital stocks. For example, unforeseen injury cases are not recorded as consumption of fixed capital but as Other Volume Changes.

Revaluation: The revaluation account records changes in the value of fixed capital due to changes in their prices. The nominal account corresponds to the revaluation of fixed capital stock in a given period due to changes in their prices. The real holding is the difference between general price changes and the fixed capital price change.

In the national accounts by industry, the unit is in principle the local kind-of-activity unit, the workplace, which is the smallest unit for which a production account can be compiled. This unit is called the functional unit, and it differs from the institutional unit, which is normally the enterprise as the economic and decision-making unit. While functional units are classified by industry, institutional units in the national accounts are classified only by institutional sector.

All institutional units resident in Denmark, defined as units having their centre of predominant economic interest on Danish economic territory for a period of one year or more, engaged in the production of goods and services.

The economic territory of Denmark, excluding the Faroe Islands and Greenland.

The reference period is the calendar year. Fixed capital stock is measured in the beginning of the accounting year, while gross fixed capital formation is a flow measure covering the full calendar year.

Investments are also compiled on a quarterly basis as part of the quarterly national accounts. For further details on the quarterly compilation, see the documentation for the quarterly national accounts.

The uncertainty in the national accounts figures is connected with the uncertainty in the sources (particularly gross fixed capital formation) that are used. There is conceptual consistency over time and uniform processing of sources contributes to reducing the uncertainty for the national accounts figures. In particular, the combination of primary sources in an integrated system helps reveal errors that therefore do not pass through to the final national accounts.

There are no quantified measures of uncertainty.

Until 2020, buildings and transport equipment were fully or partly compiled using a direct stock approach based on administrative registers. From 2021 onwards, the Perpetual Inventory Method (PIM) is applied to all asset types to ensure a consistent and harmonised compilation of fixed assets. The direct stock approach is considered the most reliable method. Since buildings and transport equipment account for the majority of the total capital stock, the shift to PIM for these asset types introduces a higher level of uncertainty in the estimates from 2021 onwards.

For a sensitivity analysis of the service lives of dwellings, see A Comparison of PIM Estimates with Direct Stock Information for Dwellings by Esben Dalgaard and Annette Thomsen. Paper prepared for the 26th General Conference of The International Association for Research in Income and Wealth. Cracow, Poland, 27 August to 2 September 2000.

Mill. DKK

Data processing takes place in several steps.

The same calculation method is used for all asset types, namely the Perpetual Inventory Method (PIM). Buildings and transport equipment were previously compiled using a direct stock approach. In order to harmonise the calculation method, detailed benchmark stocks for buildings and transport equipment have been compiled so that PIM can be applied. This harmonisation was introduced in the compilation of fixed assets from the 2021 reference year onwards.

There is an accounting identity between the main variables in the compilation of fixed assets. The identity covers gross capital stock, net capital stock, gross fixed capital formation, consumption of fixed capital, nominal revaluations and other changes in the volume of non-financial assets. The variables form an accounting identity which ensures consistency between opening and closing capital stocks.

The identity can be expressed as:
net capital stock at the beginning of the year
+ gross fixed capital formation
- consumption of fixed capital
+ other changes in the volume of non-financial assets
+ nominal revaluations
= net capital stock at the end of the year.

The identity is defined in current prices. For compilations at constant prices with the same reference time, for example annual average prices or previous year’s prices, the same identity holds with the difference that nominal revaluations are zero, since these exist only in current prices.

Quarterly consumption of fixed capital in constant prices is calculated under the assumption that the change in consumption of fixed capital is proportional to approximate net investment, defined as gross fixed capital formation minus the previous period's consumption of fixed capital. The proportionality factor is estimated as the quarterly mean of the ratio of the change in consumption of fixed capital to approximate net investment over the latest three years.

Quarterly consumption of fixed capital in current prices is calculated by applying an implicit price index anchored to the implicit price index for consumption of fixed capital in the base period and extrapolated forward using the price development of gross fixed capital formation.

The data source for the compilation of fixed assets consists of gross fixed capital formation from the compilation of the national accounts combined with historical stocks and assumptions regarding service lives, depreciation profiles, etc.

The compilation of gross fixed capital formation is based on a combination of business statistics, administrative registers and industry-relevant data sources. The primary source is the structural business statistics, which provide information on gross fixed capital formation by asset type in most market-producing industries. The structural business statistics supplement the compilation with information on purchases and sales of existing assets, which are included according to the national accounts definition. For asset types and industries where the structural business statistics do not sufficiently cover the level of investment, alternative sources are used, including the Building and Dwelling Register (BBR), government finance statistics, sector accounts and industry-based business accounts.

For investment in buildings and structures, turnover statistics for the construction sector and information on transaction costs in connection with transfer of ownership are also used. Investment in transport equipment is delimited using the Motor Vehicle Register. The compilation of investment in intangible assets uses sector-specific sources, including R&D statistics and product statistics for IT services. Software investment is compiled by combining information from the product statistics for the IT sector with a derived estimate for own-account production based on labour costs.

For investment in machinery and equipment, commodity and industry statistics are used through methods based on the commodity-flow approach. In sectors with a small number of large investors and in general government, data quality is assessed as high, while new enterprises with low initial activity are monitored separately to ensure full registration of large one-off investments.

In the previously used method for the compilation of stocks of dwellings and transport equipment, a direct stock approach was used. In this approach the sources are the Building and Dwelling Register (BBR), the Motor Vehicle Register, the Ship Register, the Aircraft Register, the Register of Rolling Stock and the Property Register.

For the compilation of consumption of fixed capital it is necessary to use assumptions on service lives for individual types of capital. Statistics Denmark uses service lives that largely follow European recommendations.

The overall average service lives are as follows:

Asset Average service life Danish range of service lives
AN.111 Dwellings 70 68–75
AN.1121 Other buildings 57.1 50–62
AN.1122 Structures 38.5 23–120
AN.1131 Transport equipment 16.4 12–25
AN.11321 ICT equipment 5.8 5–10
AN.11322 Telecommunications equipment 14.1 11–23
AN.1139 Other machinery and equipment 14.2 10–35
AN.114 Weapons systems 22 22
AN.115 Cultivated biological resources    
AN.1171 Research and development 9.8 9–20
AN.1172 Oil, gas and mineral exploration 30 30
AN.1173 Computer software 5.1 5–7
AN.1174/1179 Original works of art, entertainment, etc. 5 5

From the compilation of 2021 figures onwards, minor adjustments have been made to service lives to improve alignment with European recommendations: Task Force on fixed assets and estimation of consumption of fixed capital under European System of Accounts 2010.

Data are disseminated annually. This includes gross fixed capital formation as a flow measure, as well as capital stock as a stock measure.

The first version of provisional annual national accounts is published at the end of June in the year following the reference year. Final annual national accounts figures are published annually approximately 2.5 years after the reference year.

Fixed assets are published annually in line with the publication of the other annual national accounts.

Internationally there is a high degree of comparability with other countries’ national accounts, since the Danish national accounts are compiled in accordance with ESA 2010.

Other aspects: In StatBank the compilation of stock variables in chain-linked values is based on valuation at mid-year prices, whereas the transmission and publication to Eurostat use valuation at end-year prices. The calculated growth rates will therefore not necessarily be identical.

Statistics Denmark follows the ESA 2010 guidelines regarding depreciation profiles, service lives and survival functions. The recommendations are available in: Task Force on fixed assets and estimation of consumption of fixed capital under European System of Accounts 2010.

One of the fundamental goals when compiling National Accounts statistics is to achieve a high degree of comparability over time. The statistical sources are therefore adapted in order to be consistent with the concepts of the National Accounts. Fundamental changes of nomenclatures as for example classification of industries, changes in definitions as a result of new guidelines as well as new and better sources, will inevitably lead to changes in the National Accounts and the compilation of fixed capital. In such cases, a comprehensive revision is involved, and earlier periods are re-compiled following the new guidelines.

Minor adjustments are continuously made to sources, methods and assumptions, for example service lives. This is done in a way that ensures that the statistics remain comparable over time. The most recent adjustment was carried out in 2025, when the PIM method replaced direct stock estimates for buildings and transport equipment and service lives were adjusted.