Base effect
The base effect is a mathematical effect that originates form the fact that a given percentage of a reference value, is not the same as the absolute difference of the same given percentage of a much larger or smaller reference value.[1] E.g. 1% of a GDP of 1 million US$ is not equal to 1% of GDP of 1 billion US$ in terms of absolute difference. [2]
The reference value is common called a base year in economics.[3]
A low base effect is the tendency of an absolute change from a low initial amount to be translated into a larger percentage change, while a high base effect would be the tendency of an absolute change from a high initial amount to be translated into a smaller percentage change.[4] [2]
Because of the base effect percentages in time series analysis can be misleading, in particular when percentages are compounded annually over a period of many years.
The low base effect can mislead because of decreasing percentages even while the underlying absolute difference is increasing linear over time, as well as the population or measured value increasing over time. Vice versa a high base effect can mislead because of increasing percentages even while the absolute difference is decreasing linear over time, as well as the population or measured value is decreasing over time. [5] [6] [7] [8]
When inflation is measured with a price index different formulas produce different results because of the base effect and the base year that was chosen. E.g. Paasche versus Laspeyres price indices. Because of the problems, in particular with headline inflation, that arise from volatility in prices core inflation is used as an additional indicator of the development of inflation. [9] [10]
Many similar concepts can be used for computation of economic growth, and are used in financial market analysis.
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A base effect[11] relates to inflation when in the corresponding period of the previous year. If the inflation rate was too low in the corresponding period of the previous year, even a smaller rise in the Price Index will arithmetically give a high rate of inflation now. On the other hand, if the price index had risen at a high rate in the corresponding period of the previous year and recorded high inflation rate, a similar absolute increase in the price index now will show a lower inflation rate now.
An example of the base effect:
- The Price Index is 100, 150, and 200 in each of three consecutive periods, called 1, 2, and 3, respectively. The increase of 50 from period 1 to period 2 gives a percentage increase of 50%, but the increase from period 2 to period 3, despite being the same as the previous increase in absolute terms, gives a percentage increase of only 33.33%. This is due to the relatively large difference in the bases on which the percentages are calculated (100 vs 150).
See also
[edit]- Compound annual growth rate
- Path dependence
- Volatility tax
- Low base effect
- Relative change#Comparisons
- Percentage#Percentage increase and decrease
References
[edit]- ^ "Relative change", Wikipedia, 2024-09-21, retrieved 2024-11-20
- ^ a b "What Is the Base Effect? Definition and How Comparison Works". Investopedia. Retrieved 2024-11-20.
- ^ "Glossary:Base year". ec.europa.eu. Retrieved 2024-11-20.
- ^ "ECB" (PDF). ecb.europa.eu. January 2007.
- ^ "Basiseffekt", Wikipedia (in German), 2024-01-15, retrieved 2024-11-20
- ^ "What Is a Base Year? How It's Used in Analysis and Example". Investopedia. Retrieved 2024-11-20.
- ^ D. Hamilton, James D. (2020). Time Series Analysis. Princeton University Press, 2020. ISBN 9780691218632.
- ^ Theory and Applications of Time Series Analysis. Contributions to Statistics. 2023. doi:10.1007/978-3-031-40209-8. ISBN 978-3-031-40208-1.
- ^ "The July Consumer Price Index: It's All About That Base (Effect) | CEA". The White House. 2023-08-10. Retrieved 2024-11-21.
- ^ "Scenarios for Inflation in 2023: Base Effects in Action". www.stlouisfed.org. Retrieved 2024-11-21.
- ^ "OECD Data & Meta Data Reporting Handbook" (PDF).
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