Chapter-9: Index Numbers

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Introduction

 

Index numbers are statistical measures designed to show changes in variables or groups of related variables over time. They are essential tools in economics and business for comparing the price levels, quantities, and values of different periods.

 

 Definition of Index Number

 

An index number is a measure that shows the relative change in a variable or group of variables over time. It is usually expressed as a percentage. The base period, often denoted as 100, serves as the reference point for comparison.

 

 Types of Index Numbers

 

Index numbers can be classified into three main types:

 

1. Price Index: Measures the relative change in the price level of goods and services over time.

2. Quantity Index: Measures the relative change in the quantity of goods produced, consumed, or sold over time.

3. Value Index: Measures the relative change in the monetary value (price x quantity) of goods and services over time.

 

 Price Index

 

A price index measures the average change in prices over time for a fixed basket of goods and services. Common examples include the Consumer Price Index (CPI) and the Wholesale Price Index (WPI).

 

 Quantity Index

 

A quantity index measures changes in the quantity of goods and services produced or consumed. It helps in understanding the production or consumption trends over time.

 

 Value Index

 

A value index measures changes in the total monetary value of goods and services. It combines the effects of both price and quantity changes.

 

 Construction of Price Index Numbers

 

Constructing a price index involves several steps:

 

1. Selecting the Base Year: Choose a year as the reference point (base year).

2. Selecting Items: Determine the basket of goods and services to be included.

3. Collecting Price Data: Gather price data for the base year and the current year.

4. Calculating the Index: Use formulas to compute the index.

 

 Uses of Price Index Numbers

 

 Economic Analysis: Helps in analyzing inflation and deflation.

 Policy Making: Assists governments in making informed policy decisions.

 Business Planning: Guides businesses in pricing strategies and cost management.

 

 Various Price Index Formulae

 

Several formulas are used to calculate price indices. The most common ones are Laspeyres', Paasche's, EdgeworthMarshall, and Fisher's indices. 

 



 Tests of Consistency

 

To ensure the reliability of index numbers, they are subjected to consistency tests like the Time Reversal Test and the Factor Reversal Test.

 



 

 Examples Relevant to India

 

 Consumer Price Index (CPI)

 

The CPI measures the average change in prices over time that consumers pay for a basket of goods and services. It is widely used to assess inflation.

 

 Wholesale Price Index (WPI)

 

The WPI measures the average change in prices of goods at the wholesale level. It is another critical indicator of inflation in India.

 

 References

 

1. Government of India. (2021). Handbook of Statistics on Indian Economy. Reserve Bank of India.

2. Dornbusch, R., Fischer, S., & Startz, R. (2018). Macroeconomics. McGrawHill Education.

3. Salvatore, D. (2016). International Economics. John Wiley & Sons.

4. Sankhyā: The Indian Journal of Statistics. (2020).

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