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Harmonised index of consumer prices (HICP) (prc_hicp)

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National Reference Metadata in Euro SDMX Metadata Structure (ESMS)

Compiling agency: Statistics Denmark

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The harmonised index of consumer prices (HICP) is a consumer price index (CPI) that is calculated according to a harmonised approach. It measures the change over time of the prices of consumer goods and services acquired by households (inflation).

Due to the common methodology, the HICPs of the countries and European aggregates can be directly compared.

22 August 2025

The main statistical variables are price indices.

The basic unit of statistical observation are prices for consumer products.

Please see the information under the next points.

Please see the information under the next point.

HICP is a monthly statistics.

Overall accuracy
The overall reliability of the HICP is considered to be high.

Sources of inaccuracy


The sample
The HICP is calculated on the basis of a sample of approx. 24 000 prices collected from some 1 500 shops, companies and institutions throughout Denmark. Most prices are collected monthly. For goods and services, where the prices typically change less frequently, prices are collected more rarely, for instance quarterly or biannually. For clothing and fresh food etc. prices are collected by price collectors who visit the individual shops. For the biggest supermarket chains for COICOP groups 1 and 2, they are also covered by scanner data. Other relevant goods (hygiene products, pet food etc.) sold in Supermarkets are also covered by scanner data. For the remaining groups of goods and services, prices are mainly obtained from digital questionnaires, list prices from supermarkets outside COICOP group 1 and 2 are also used. Finally, Statistics Denmark obtains information on prices on a number of selected goods and services by telephone or via the Internet. The weights are created on the basis of the information about the composition of consumption expenditure according to the national accounts and the Household Budget Survey.

No calculation has been made of the uncertainty connected with sampling in the HICP. The statistical uncertainty inherent in the weights affects the uncertainty in the HICP, but the effect is very limited. The non-response in the sample is estimated to be less than 1 percent.

In addition to the 'general' uncertainty connected with sampling, there are a number of sources of potential bias in the HICP, which can be grouped as follows:


Substitution between goods
Bias due to substitution between goods is a result of the fact that for different reasons (changes in income and in relative prices or preferences), consumers substitute between different goods, although an unchanged composition of consumption is assumed in the calculation of the price index. The HICP is calculated as the weighted arithmetic average of the most detailed price indices (elementary aggregate indices) with their respective budget shares used as weights. At this level of the index calculation no allowances are therefore made for the consumers' substitution between different groups of goods and services (elementary aggregates). However, the elementary aggregate indices are calculated as geometrical indices. Thereby it is assumed that the consumers hold unchanged budget shares. This means that if the price of a commodity rises by x percent, the consumers are assumed to reduce their consumption of the commodity by x percent. For these groups a certain substitution has thus been recognised in the index.

Substitution between shops
This type of bias arises when the consumers for the same commodity change from shops with high prices to shops with lower prices. The HICP is calculated monthly on the basis of price information from the same shops. If, e.g. greater shares of the consumers' expenditure from July until August is accounted for by discount shops with lower prices, this will not in itself have an impact on the index. Only when a shop has been included for at least two months in succession are the prices from there included in the index calculation.

Changes in quality
In calculating a price index it is assumed that the baskets of goods that are compared are identical, also with respect to the quality of the goods. Consequently, in the case of changes in quality the prices should, in principle, be adjusted for this. As the value of the actual changes in quality is not known, it is naturally difficult to calculate estimates for bias, due to lack of quality adjustment.

New commodities
The sample for the HICP is continuously updated, but for practical reasons often with a certain time lag. This means that new products are frequently not included in the compilation of the index x when they are first introduced on the market, and not until prices have been available for two months in succession. Furthermore, at the beginning of a product's lifetime it is often impossible to obtain any information about sales. Finally, a great deal of uncertainty is associated with the task of defining whether it is actually a new product or just improved versions/varieties of already existing products.

Calculation formula
The first step in the index calculation consists of calculating the elementary aggregate index from the prices collected (and any weights for these prices). To the extent that the index calculated on this basis deviates from the 'true' price rise, it is a formula bias. Frequent updates of the weights and the sample can reduce the potential bias as a result of the consumers' substitution between goods and shops and the appearance of new goods.

The following units are used:

  • Index point
  • Percentage change on the same period of the previous year (rates);
  • Percentage change on the previous period (rates);
  • Percentage share of the total (weights).

Please see information under the next points.

Please see information under the next points.

Monthly.

The full set of HICPs is published each month according to a pre-announced schedule, usually between 15 and 18 days after the end of the reference month. Each year, the January news release is published at the end of February to allow for the annual update of the weights of individual product groups and the relative country weights of Members States in the country-group aggregates.

HICPs across Member States aim to be comparable. Any differences at all levels of detail should only reflect differences in price changes or expenditure patterns.

To this end, concepts and methods have been harmonised by means of legislation. HICPs that deviate from these concepts and methods are deemed comparable if they result in an index that is estimated to differ systematically by less than or equal to 0.1 percentage points on average over one year against the previous year (Article 4 of Council and Parliament Regulation (EU) 2016/792).

HICP data are fully comparable over time. There have been several improvements in methodology since the HICP was introduced, with the aim of improving reliability and comparability of the HICP. These changes may have introduced breaks in time series. However back calculations under the newer standards were performed when appropriate basic data was available.