Economics · Ch 14 — Index Numbers
Consumer Price Index
14.4.1
Consumer Price Index
The Consumer Price Index (CPI), also called the cost-of-living index, measures the average change in retail prices. To read it, consider: CPI for industrial workers (2001 = 100) is 277 in December 2014. This means a worker who spent Rs 100 on a typical basket in 2001 needs Rs 277 in December 2014 to buy an identical basket — whether or not he actually buys it, what matters is the capability to do so.
CPI is a weighted average of price relatives, , where is each item's price relative. Worked example:
| Item | Weight (%) | Base price (Rs) | Current price (Rs) | ||
|---|---|---|---|---|---|
| Food | 35 | 150 | 145 | 96.67 | 3383.45 |
| Fuel | 10 | 25 | 23 | 92.00 | 920.00 |
| Cloth | 20 | 75 | 65 | 86.67 | 1733.40 |
| Rent | 15 | 30 | 30 | 100.00 | 1500.00 |
| Misc. | 20 | 40 | 45 | 112.50 | 2250.00 |
…