GDP deflator. Using the statistics on real GDP and nominal GDP, one can calculate an implicit index of the price level for the year. This index is called the GDP deflator and is given by the formula
The GDP deflator can be viewed as a conversion factor that transforms real GDP into nominal GDP. Note that in the base year, real GDP is by definition equal to nominal GDP so that the GDP deflator in the base year is always equal to 100.
Calculating the rate of inflation or deflation. Suppose that in the year following the base year, the GDP deflator is equal to 110. The percentage change in the GDP deflator from the previous (base) year is obtained using the same formula used to calculate the growth rate of GDP. This percentage change is found to be
implying that the GDP deflator index has increased 10%. Another way of describing this finding would be to say that the inflation rate in the year following the base year was 10%. More generally, if the percentage change in the GDP deflator over some period is a positive X%, then the rate of inflation over the same period is X%. If the percentage change in the GDP deflator over some period is a negative X%, then the rate of deflation over that period is X%.
Consumer price index. The GDP deflator is not the only index measure of the price level. Among the many other price indices, the consumer price index (CPI) is the most frequently cited. The CPI differs from the GDP deflator in two important ways. First, the CPI measures only the change in the prices of a “basket” of goods consumed by a typical household. Second, the CPI uses base year quantities rather than current year quantities in calculating the price level index value. The formula for the CPI is given as
Construction of a price index. As an example of a CPI index, assume for the sake of simplicity that the basket of goods consumed by a typical household consisted of just three goods: pizza, soda, and ice cream. The quantities consumed of each of these three goods in the base year are given in Table , along with the prices of these three goods in both the base year and the current year.
The base year expenditure figures are found by multiplying the base year quantities by the base year prices. Similarly, the current year expenditure figures are found by multiplying the base year quantities by the current year prices. In order to calculate a CPI for this basket of three goods, one needs only the total base year and current year expenditures on all three goods. The CPI value for the current year may then be calculated as follows:
The CPI value for the base year is always equal to 100. In this case,
Thus, the percentage change in the current year CPI from the base year CPI is
In other, words, the rate of inflation in the current year is 3.67%