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This paper proposes an empirically feasible method for correcting the path-dependence bias of chain indices of the cost of living. Chain indices are discrete approximations to Divisia indices and it is well known that the latter are path-dependent: the level of a Divisia index is affected not just by the level of prices at the two endpoints but also by the path between the endpoints. It is also well-known that a Divisia index of the cost of living is path-independent if and only if all income elasticities are equal to one, a restriction that is decisively rejected by studies of consumer demand. In theory, the true cost of living index (or Konüs price index) could be derived by estimating the expenditure function. But this seems impractical due to data limitations: the number of independent parameters rises roughly in proportion to the square of the number of commodities and consumer price indices contain hundreds of items. This paper shows how this problem can in fact be overcome empirically using a flexible model of demand like the “Quadratic Almost Ideal Demand System”. The proposed method requires data only on prices, aggregate budget shares and aggregate expenditure. The method is applied to estimate Konüs price indices for 70 products covering nearly all the UK’s Retail Prices Index over 1974-2004, with each year in turn as the base. The choice of base year for utility is found to have a significant effect on the index, even in the low inflation period since 1990

Topics:
HB Economic Theory

Publisher: Centre for Economic Performance, London School of Economics and Political Science

Year: 2007

OAI identifier:
oai:eprints.lse.ac.uk:19718

Provided by:
LSE Research Online

- (1980). An almost ideal demand system”.
- (2000). An exact price index for the almost ideal demand system”.
- (2002). Applied Multivariate Statistical Analysis. New Jersey: Prentice-Hall Inc.
- (1997). BEA’s chain indexes, time series, and measures of long-term economic growth”. Survey of Current Business,
- (1996). Boskin Commission [Advisory Commission to Study the Consumer Price Index]
- (1999). Comparing price levels across countries using minimum-spinning trees”.
- (2004). Constructing price indexes across space and time: the case of the European Union”.
- (2006). Consumer Price Indices: Technical Manual
- (2004). Direct and chained indices: a review of two paradigms”.
- (1973). Divisia index numbers”.
- (2005). Divisia price and quantity indices: 80 years after”.
- (1980). Economics and Consumer Behaviour. Cambridge:
- (1987). Index numbers”. In The New Palgrave: A Dictionary of Economics, edited by
- (1997). Instrument relevance in multivariate linear models: a simple measure”.
- (2003). Instrumental variables and GMM: estimation and testing”.
- (1974). Invariant economic index numbers and canonical duality: survey and synthesis”.
- (1957). Mathematical Analysis.
- (1982). Multilateral comparisons of output, input, and productivity using superlative index numbers”.
- (1995). Problems with instrumental variable estimation when the correlation between the instruments and the endogenous explanatory variables is weak”.
- (1997). Quadratic Engel curves and consumer demand”.
- (2004). Rationalizing the Penn World Table: true multilateral indices for international comparisons of real income”.
- (1981). The economic theory of index numbers: a survey”.
- (1927). The Making of Index Numbers: A Study of Their Varieties, Tests, and Reliability (3 rd edition).
- (1939). The problem of the true index of the cost-of-living”.
- (1998). The Retail Prices Index: Technical Manual :

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