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Formula for the Inflation Rate from a Price Index
The inflation rate is the percentage change in a price index, such as the Consumer Price Index (CPI), from one period to the next. This calculation quantifies the change in the general price level over time. The formula is:
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Formula for the Inflation Rate from a Price Index
GDP Deflator
An economy's fixed consumer basket consists of 10 books and 20 coffees. In the base year, the price of a book was $10 and the price of a coffee was $5. In the current year, the price of a book is $12 and the price of a coffee is $6. Using the base year as the reference, what is the value of the price index in the current year?
Interpreting a Price Index
If the total cost of a fixed basket of goods has increased by exactly 25% since the designated base year, the price index for the current year will be 125.
Calculating Basket Cost from a Price Index
An economy tracks the price of a fixed basket of goods, which consists of 5 pizzas and 10 sodas. The prices for these goods over three years are shown in the table below.
Year Price of a Pizza Price of a Soda 2021 $10.00 $2.00 2022 $12.00 $2.50 2023 $15.00 $3.00 By selecting 2022 as the base year, what is the calculated price index for the year 2023, rounded to one decimal place?
Analyzing a Price Index Calculation Method
A country's price index for the current year is calculated to be 95, using the previous year as the base period. Which of the following statements accurately describes the relationship between the cost of the fixed basket of goods in the two years?
Analyzing an Incorrect Price Index Calculation
An economy's fixed basket of goods consists of 20 apples and 10 bananas. The table below shows the price of these goods over three years. Using Year 1 as the base year, match each year to its correct price index.
Year Price of an Apple Price of a Banana Year 1 $1.00 $2.00 Year 2 $1.20 $2.50 Year 3 $1.50 $2.00 An economy's fixed basket of goods consists of 5 pizzas and 10 sodas. In the base year, the price of a pizza was $10 and the price of a soda was $2. In the current year, the price of a soda has risen to $2.80, and the overall price index is calculated to be 140. Based on this information, what must be the price of a pizza in the current year? (Enter a numerical value only, without the dollar sign)
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Example Calculation of the 2022 Inflation Rate
An economy's price index was 120 in Year 1, 150 in Year 2, and 180 in Year 3. Based on this data, which of the following statements accurately describes the trend in the rate of price level changes?
An economic analyst observes that a country's price index increased from 150 to 165 in one year, and then from 165 to 180 in the following year. The analyst concludes that because the index increased by the same absolute amount (15 points) each year, the rate of inflation was constant over the two years. Is the analyst's conclusion correct?
Economic Analysis of Freedonia
Calculating Annual Inflation
If a country's price index was 200 in one year and increased to 210 in the next year, the annual inflation rate for that period was ____%. (Please provide the numerical value only.)
Comparative Inflation Analysis
Evaluating Price Stability
Match each economic scenario, described by the change in a country's price index over a year, to its corresponding annual rate of price change.
An economist reports that a country experienced a 5% rate of inflation over the past year. If the price index is now 210, what was the price index one year ago?
An economy's price index was 200 in Year 1. In Year 2, the annual inflation rate was 10%. In Year 3, the annual inflation rate fell to 5%. Which of the following statements most accurately describes the general price level in this economy?
Example Calculation of the 2021 Inflation Rate