INDEX NUMBERS; Purpose of Constructing, Definition, Features or Characteristics


🚩Timestamps:-

00:41 Session Agenda

01:58 concept of index number

11:02 what does the study of Index Numbers do?

12:26 Purpose of Constructing Index Number of (i) Prices, and (ii) Quantities

15:17 Definition of an Index Number

17:08 Features or Characteristics of Index Numbers

19:41 Concluding Remarks

Learning Outcomes:-

Through this module, you will gain understanding on:-

1.    concept of index number

2.    what does the study of Index Numbers do?

3.    Purpose of Constructing Index Number of (i) Prices, and (ii) Quantities

4.    Definition of an Index Number

5.    Features or Characteristics of Index Numbers

6.    Difficulties or Problems in the Construction of Index Numbers

7.    Advantages or Uses of Index Numbers

8.    Limitations of Index Numbers

9.    The Principal Limitations of Index Numbers

concept of index number

The concept of index number can be best understood through illustration.

Let us consider a situation of rising prices during the year 2014.

In this context, we are faced with three basic questions.

1.    First, compared to which year have the prices risen during 2014?

2.    Second, how do we handle the situation when the prices of some goods rise more than the others?

3.    Thirdly, can prices of different goods be expressed in terms of any standard unit or different units are to be used to express prices of different goods and services, such that the price of milk is to be expressed in terms of rupees per litre, of cloth in terms of rupees per metre and of sweets in terms of rupees per kilogram.

 

The study of Index Numbers answers all these questions:

1.    First, rise in prices during 2014 would be studied only with reference to some previous years like 2001 or 2004. Otherwise, the mere statement that prices during 2014 have tended to rise would make no sense.

·         2014 will be treated as the current year and 2001 or 2004 (previous year) as the base year.

·         Prices during the base year are taken as 100.

·         Prices during the current year are related to the base year price. So that, we find out percentage change in price level over the years.

·         Level of price is called the index of price.

·         Since price of the base year is assumed to be 100, we can say that index of price of the base year is always 100.

·         If base year is 2004 and the price index is 100, and if in the year 2014, prices are doubled, we shall conclude that the index of price in the year 2014 has shot up to 200 compared to 100 in the base year.

2.    As regards the second question (how do we handle the situation when prices of some goods change more than the others), the study of index numbers suggests to take average change.

·         Thus, if the price of Potatoes has risen from 100 to 200 and the price of Onions has risen from 100 to 300, we shall consider average change only, viz. 200+300/2 = 250

·         Thus, it is the average index of prices for the various goods and services which is constructed for different years, and compared with the base year.

3.    Third, as regards the problem of expressing the prices of various goods and services in some homogeneous units, the theory of Index Numbers suggests to consider only percentage change in prices of various goods and services. Once a change in price is expressed as a percentage change, the unit of the commodity (like litre of a milk, or metre of a cloth) loses its relevance.

 

Thus, what does the study of Index Numbers do?

It helps us to find out percentage change in the values of different variables (may be prices of different goods or production of different commodities) over time with reference to some base year which happens to be the year of comparison. When various goods are studied simultaneously, the percentage change is taken as the average for all the goods.

 

Purpose of Constructing Index Number of (i) Prices, and (ii) Quantities

(i) Purpose of constructing index number of prices is to know the relative change or percentage change in the price level (made up of simple or weighted average of the prices of different goods and services) over time.

·         A rising general price level over time is a pointer towards inflation, while a falling general price level is a pointer towards deflation. Both inflation as well as deflation have notable consequences for an overall economic activity in the economy.

 

(ii) Purpose of constructing index number of quantity is to know relative change or percentage change in the quantum or volume of output of different goods and services over time. This reflects the level of economic activity in the economy and its different sectors.

·         A rising index of quantity suggest a rising level of economic activity and vice versa.

 

Definition

1.    In the words of Spiegel, "An Index Number is a statistical measure designed to show changes in a variable or group of related variables with respect to time, geographic location or other characteristics".

 

2.    According to Croxton and Cowden, "Index Numbers are devices for measuring difference in the magnitude of a group of related variables".

 

Features or Characteristics of Index Numbers

 (1) Measures of Relative Changes: Index numbers measure relative or percentage changes in the variable(s) over time. Index number of prices, for example, is not simply a statement of prices at different dates, it presents estimates of percentage changes in the prices over years with reference to some selected base year.

 

(2) Quantitative Expression: Index numbers offer a precise measurement of the quantitative change in the concerned variable(s) over time The index numbers are not the qualitative statements like prices are rising or falling.

 

3) Averages: Index numbers show changes in terms of averages.

 

Difficulties or Problems in the Construction of Index Numbers

 (1) Purpose of Index Number: There are various types of index number constructed with different objectives. Before constructing an index number, one must define the objective. The construction of index number is significantly influenced by the objective or purpose of the study. Thus, for example, if the objective is to study the impact of change in the value of money on the consumers one should construct consumers' price index number. If we are to study the impact of change in the purchasing power of money on the producers, we shall construct index number on the basis of wholesale prices. Haberler has rightly pointed out that, "Different index numbers are constructed to fulfil different objective and before setting to construct a particular index number, one must clearly define one's object of study because, it is on the objective of the study, that the nature and format of the index number depends."

 

(2) Selection of Base Year: Selection of Base Year is another problem in the construction of index number. Base year is the reference year. It is the year with which prices of the current year are compared. As far as possible, Base Year should be a normal year. That is, it should be the one without much ups and downs. Otherwise, the index values would fail to capture the real change in the variable. The year 2004-05 is treated as base year in India, at present.

(3) Selection of Goods and Services: Having defined the objective, the problem is of the selection of goods or services to be included in the index number. To construct the Consumers' Price Index, for example, all commodities are not included. It is neither possible nor desirable to include all the goods and services produced in the country. We have to choose those goods and services which represent most of others in the market. In other words, commodities selected should be such as are widely consumed, for example, rice, milk, ghee, cloth, etc. Larger the number of goods and services more representative is the index number.

 

 (4) Selection of the Prices of the Goods and Services: Having selected the goods and services, the problem arises of prices to be selected. Broadly, in the construction of Price Index, the problem is whether to adopt retail prices or wholesale prices, controlled or open market prices. The choice would depend upon the objective or purpose of the study.

 

 (5) To Find Out the Average Prices: In the construction of index number, base year value is assumed to be 100 and other values of different years are related to 100. Thus, if cloth price is Rs 5 per metre in the base year and is found to be Rs 10 per metre in the current year, the index of prices of cloth would be 10/5*100 = 200 for the current year. Likewise, price relatives for other commodities are worked out and average for these price relatives is determined and compared with the base year value of 100. It may be noted here that average of base year remains 100, but the average of the year under investigation may be more or less than 100. In case the average of the year under investigation is more than the average of the base year, it means that general price level has gone up. If it is less than the base year, it means that general price level has gone down. Generally, base year is indicated as '0' and current year as '1'. Price index is written as P01, and it is read as price index of year 1 in relation year 0.

 

(6) Selection of Method of Weighting: In working out the average price, every care should be taken of the relative significance of different commodities. While constructing index number, weights are accorded to different commodities according to their relative significance. There are several methods of according weight, e.g., Fisher's method, Paasche's method, Laspeyre's method. While constructing weighted index number, one must justify his choice of weighting technique in accordance with the nature and objective of his study.

 

(7) Problem of Finding Average: In finding out average values, different kinds of average may be used, geometric average, arithmetic average, etc. The choice of average significantly influences the results. Different kinds of averages may give different index number of a given change in price.

 

 (8) Selection of Formula: Index numbers can be constructed with the help of many formulae, such as, Laspeyre's method, Paasche's method Dorbish and Bowley's method, Fisher's method. One has to decide about the method to be used while constructing the index number

 

Advantages or Uses of Index Numbers

(1) Measurement of Change in the Price Level or the Value of Money: Most important use of index numbers is that index numbers measure the value of money during different periods of time. We can use index numbers to know the impact of the change in the value of money on different sections of the society. Accordingly, devices or means can be worked out to correct inflationary or deflationary gaps in the system.

 

 (2) Knowledge of the Change in Standard of Living: Index numbers help to ascertain the living standards of people. Money incomes may increase but if index numbers show a decrease in the value of money, living standards may even decline. Thus, index numbers indicate change in real income.

Standard of living is the level of income, comforts and services available, generally applied to a society or location, rather than to an individual. Standard of living is relevant because it is considered to contribute to an individual's quality of life.

a measure of how comfortable the life of a particular person or group is

जीवन-स्तर (किसी व्यक्ति या समूह के जीवन के सुख-सुविधा संपन् होने की मात्रा)

 

 (3) Adjustments in Salaries and Allowances: Cost of living index is a useful guide to the Government and Private Enterprises to make necessary adjustments in salaries and allowances of the workers. Increase in the cost of living index suggests increase in salaries and allowances.

 

 (4) Useful to Business Community: Price index numbers serve as a useful guide to the business community in their planning and decisions. Trend of the prices significantly influence their production decisions

 

(5) Information Regarding Production: Index numbers of production shows whether the level of agricultural and industrial production in the economy is increasing or decreasing. Accordingly, agricultural and industrial development policies are formulated.

 

 (6) Information Regarding Foreign Trade: Index of exports and imports provides useful information regarding foreign trade Accordingly, export-import policies are formulated.

 

(7) Useful to Politicians: Politicians come to know of the real economic condition in the country on the basis of index numbers. They offer constructive criticism of government's economic policies and give suggestions for economic reforms in the country.

 

(8) Useful to Government: It is with the help of index numbers that the government determines its monetary and fiscal policies and takes concrete steps for the economic development of the country. In other words, with the help of index numbers, government formulates appropriate policies to increase investment, output, income, employment, trade, price level, consumption, etc.

 

Limitations of Index Numbers

 (1) Not Completely True: Index numbers are not fully true. For example, one can only make an estimate of change in the value of money with the help of index numbers. The index numbers simply indicate arithmetical tendency of the temporal changes in the variable.

 

(2) International Comparison is not Possible: Different countries have different basis of index numbers. These do not help international comparisons.

 

(3) Difference of Time: With the passage of time, it is difficult to make comparisons of index numbers. With the changing times, man's habits, tastes, etc., also undergo a change. Consequently, index numbers constructed on the basis of old consumption pattern cannot be compared with the index numbers constructed on the basis of new consumption pattern.

 

 (4) Limited Use: Index numbers are prepared with certain specific objective. If they are used for another purpose they may lead to wrong conclusions. For example, index numbers prepared to know about the economic condition of the teachers cannot be used to know about the economic condition of the labourers.

 

(5) Lack of Retail Price Index Numbers: Most of the index numbers are prepared on the basis of wholesale prices. But in real life, retail prices are most relevant, but it is difficult to collect retail prices. Index numbers based on wholesale prices may be misleading.

 

The Principal Limitations of Index Numbers

 (i) there are no scientific techniques of according weightage to different items included in the index numbers.

 

(ii) weightage to different items often has a blend of personal bias.

·         bias, a strong feeling of favour towards or against one group of people, or on one side in an argument, often not based on fair judgement or facts - प्रायः किसी समूह के पक्ष अथवा विपक्ष में सहानुभूति, अथवा वाद-विवाद में किसी एक पक्ष के प्रति झुकाव जो तथ्यों पर आधारित नहीं; प्रायः एकतरफ़ा, पूर्वाग्रह, विशेष झुकाव, पक्षपात

 

(iii) owing to difference in the unit of currency as well as difference in the composition of production (and consumption) across different countries of the world, it is often very difficult to construct Index Numbers that facilitate international comparisons.

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concept of index number, what does the study of Index Numbers do?, Purpose of Constructing Index Number of (i) Prices, and (ii) Quantities, Definition of an Index Number, Features or Characteristics of Index Numbers | Index Numbers | 11th Commerce | by @statomics11comm

 

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