CPI is an index that measures the average price a household pays for goods and services. By its very definition, close to half of the population will actually be paying more for their goods than the CPI suggests, since it's an average. Furthermore, if a certain category of goods, let's say gas for example, has a sharp rise in price, people who spend more than average on gas will be hurt disproportionately. This may explain why we are currently constantly hearing reports that inflation is actually higher than the CPI reports.
Since gas only makes up a small part of CPI, its wide swings in price will be devastating to those living in freezing climates in larger houses who commute two hours a day in their SUVs, but has little effect on those in milder areas who walk or bike to work.
In fact, here's a look at gasoline prices and total CPI on the same chart, showing how someone overly reliant on gas will be feeling harsh effects, but how others are barely affected:


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