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Understanding and Calculating Inflation Rate Using the Consumer Price Index (CPI)
Inflation refers to the rate at which the general level of prices for goods and services is rising, and subsequently, purchasing power is falling. Central banks attempt to limit inflation, and avoid deflation, with varying price stability targets. A common measure of inflation is the Consumer Price Index (CPI).
What is the Consumer Price Index (CPI)?
The Consumer Price Index (CPI) is a measure that examines the weighted average of prices of a basket of consumer goods and services, such as transportation, food, and medical care. It is calculated by taking price changes for each item in the predetermined basket of goods and averaging them. Changes in the CPI are used to gauge inflation. The CPI is a very important statistic for the economy because it can be used to assess price changes or identify periods of inflation.
How to Calculate Inflation Rate Using CPI
The formula to calculate the inflation rate between two periods using CPI is straightforward:
Inflation Rate = [(CPI of Current Period – CPI of Previous Period) / CPI of Previous Period] * 100
Let's break down the formula:
- CPI of Current Period: This is the CPI value for the most recent period you are considering.
- CPI of Previous Period: This is the CPI value for the earlier period you are comparing against.
- The difference between the current and previous CPI shows the absolute change in prices.
- Dividing this difference by the previous CPI normalizes the change relative to the starting point.
- Multiplying by 100 converts the decimal result into a percentage.
Example Calculation
Suppose you want to calculate the inflation rate between two years. The CPI for the current year is 280.5, and the CPI for the previous year was 275.2.
Using the formula:
Inflation Rate = [(280.5 – 275.2) / 275.2] * 100
Inflation Rate = [5.3 / 275.2] * 100
Inflation Rate = 0.0192587 * 100
Inflation Rate ≈ 1.93%
This means that, on average, prices have increased by approximately 1.93% between the previous period and the current period.