Business Mathematics and Statistics · Ch 9 — Applied Statistics (Time Series, Index Numbers, Statistical Quality Control)
Cost of Living Index (Consumer Price Index)
Cost of Living Index (Consumer Price Index)
A Cost of Living Index, also called a Consumer Price Index (CPI), measures the average change in the prices of a fixed 'basket' of goods and services that a particular group of consumers (industrial workers, agricultural labourers, urban non-manual employees, and so on) typically buys. Unlike a general wholesale price index, a CPI is built specifically to answer: has it become more expensive for this group of people to maintain their usual standard of living?
The standard construction method is the Family Budget Method, which is really a weighted average of price relatives, using each item's share of total household expenditure in the base year as its weight :
The weights typically come from a household expenditure survey, and the basket usually groups items under heads such as Food, Clothing, Fuel & Lighting, Housing, and Miscellaneous.
Main uses of the CPI:
- Adjusting wages and dearness allowance — many wage agreements and government pay scales tie periodic increases directly to CPI movements, so that real (inflation-adjusted) wages do not fall as prices rise.
- Adjusting pensions and social-security payments for the same reason.
- Measuring the purchasing power of money — the reciprocal of the CPI (times 100) gives the purchasing power of the rupee relative to the base year.
- Deflating income and other value series to compare them in real terms across years. …
An index number measuring the average change in the retail prices of a fixed basket of goods and services typically consumed by a specific group of people, used chiefly to adjust wages and pensi …
A method of constructing a cost of living index as a weighted average of price relatives, the weight for each item being its share of total expen …