1. Understanding and Measuring Inflation
Inflation is the rate at which the general level of prices for goods and services is rising, and subsequently, purchasing power of currency is falling. It's a key measure of economic health. We don't just look at one or two prices; we measure the average price change of a whole range of items. This is done using a Consumer Price Index (CPI). To create a CPI, government agencies survey households to see what they typically buy. This creates a representative 'basket of goods and services'. The prices of items in this basket are monitored each month. The total cost of the basket in a given year is compared to its cost in a 'base year', which is given an index value of 100. The items in the basket are also 'weighted' based on their importance in a typical household's budget. For example, housing and food have a higher weight than cinema tickets.
Inflation Rate (%) = ((Current Year CPI - Previous Year CPI) / Previous Year CPI) * 100
Weighted Price Index = Σ(Price of item × Weight of item)
Key term
Examiner insight
Common pitfall
Worked example 14 marks
An economy produces a simple CPI based on three items. Using the data below, calculate the weighted price index for Year 2. The base year is Year 1.
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Step 1: For each item, calculate the price relative for Year 2. This is (Year 2 Price / Year 1 Price) * 100.
- 2
Food: (£4.50 / £4.00) * 100 = 112.5
- 3
Transport: (£2.20 / £2.00) * 100 = 110.0
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Housing: (£10.50 / £10.00) * 100 = 105.0
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Step 2: Calculate the weighted index for each item by multiplying its price relative by its weight. The weight is given as a decimal (e.g., 40% = 0.4).
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Food: 112.5 * 0.4 = 45.0
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Transport: 110.0 * 0.3 = 33.0
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Housing: 105.0 * 0.3 = 31.5
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Step 3: Sum the weighted index values to find the overall CPI for Year 2.
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Total CPI for Year 2 = 45.0 + 33.0 + 31.5 = 109.5
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Answer: The weighted price index for Year 2 is 109.5.
Worked example 22 marks
Using the answer from the previous question (CPI in Year 2 = 109.5), and given the CPI in Year 3 was 114.0, calculate the rate of inflation between Year 2 and Year 3.
- 1
Step 1: State the formula for the inflation rate.
- 2
Inflation Rate = ((Current CPI - Previous CPI) / Previous CPI) * 100
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Step 2: Substitute the values for Year 2 (Previous) and Year 3 (Current).
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Inflation Rate = ((114.0 - 109.5) / 109.5) * 100
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Step 3: Calculate the result.
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Inflation Rate = (4.5 / 109.5) * 100 = 4.11%
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Answer: The inflation rate for Year 3 is 4.1% (to one decimal place).
Recap
- Inflation is a sustained rise in the general price level.
- It is measured using a price index, most commonly the Consumer Price Index (CPI).
- The CPI tracks the price of a 'basket of goods' bought by a typical household.
- Items in the basket are weighted according to their importance in household spending.
- The base year for a price index is always set to 100.
- The inflation rate is the percentage change in the CPI from one period to the next.
Quick check
- What is meant by the 'base year' in a price index?1 mark
- Why are weights used in the calculation of the CPI?2 marks