Average of relatives method, Financial Management

Average of Relatives Method

We have seen the construction of an index number using the aggregates method. In this section, we shall see the construction of an index using the average of relatives method.

Unweighted Average of Relatives Method

As usual, let us begin with a price index. When a price index is constructed, all price relatives are to be obtained for all the items included in the index after which the average of price relatives is obtained using any one of the measures of central tendency namely, arithmetic mean, geometric mean, median, mode or harmonic mean. A price relative may be generally understood as the ratio of the price of a single item in a given period to its price in the base period.

Though theoretically, any measure of central tendency can be used to obtain the index, the general practice is to use arithmetic mean for averaging the price relatives. The price index using the average of relatives method can be constructed using the following formula:


Unweighted average of relatives index

=
2283_average of relative method.png
 

where,

         P1      = Prices in the current/given year

         P0      = Prices in the base year

         n       = Number of products/items in the composite

The ratio P1/P0 is the price relative.

        Unweighted Average of Relatives Index

Elements in the composite

Prices/Kg

 

P1/P0 x 100
Jan, 20x0

P0

June, 20x0

P1

Rice

8.50

  9.50

111.76

Wheat

4.75

  5.00

105.26

Salt

3.00

  3.00

100.00

Sugar

9.00

11.00

122.22

 

 

 

439.24


Unweighted average of relatives price index =
696_average of relative method1.png

=

109.81    

 

On similar lines, quantity index using average of relatives method can be computed with the help of the following formula:

Unweighted average of relatives quantity index =   1284_average of relative method2.png

where,

         Q1     = Quantities in the given period

         Q0     = Quantities in the base year

         n       = Number of elements in the composite

The price index or the quantity index computed by the average of relatives method would be the same regardless of the way in which the prices are quoted or quantities are measured. In other words, price/quantity relatives are pure numbers and hence free from the units of measurement.

Also, the average of relatives method converts each element in the composite to a relative scale where each element is expressed in percentages and measured against a base of 100. The only impediment to such an index being constructed is the selection of an appropriate average. In general, arithmetic mean is used to take the average of the price relatives. As such, index is not influenced by extreme items. But the use of arithmetic mean, though simple and easy to understand, has a major disadvantage in that there is a tendency to over-emphasize increases and undervalue decreases. Though the use of geometric mean would overcome these tendencies, it is difficult to compute and its usage is avoided for this reason. The unweighted average of relatives method suffers from one or more limitations. The relatives (price/quantity) are assumed to have equal importance. As some relatives are economically more significant than others, assigning of equal weightages is undesirable.

Posted Date: 9/17/2012 3:01:21 AM | Location : United States







Related Discussions:- Average of relatives method, Assignment Help, Ask Question on Average of relatives method, Get Answer, Expert's Help, Average of relatives method Discussions

Write discussion on Average of relatives method
Your posts are moderated
Related Questions
what is leverage


Various Types of Strategies Different types of hedge fund strategies are discussed as follows: Relative Value of Strategies: Relative value strategies are also known as no

The term 'Eurobonds' refers to bonds issued and sold outside the home country of the currency. For example, a dollar denominated bond issued in the UK is a Euro (

Explain the distinction in the translation process among the monetary/nonmonetary method and the temporal method. Answer:  Within the monetary or nonmonetary method, every mone


Question 1 Globalization is a process of international integration that arises due to increasing human connectivity as well as the interchange of products, ideas and other aspe

Many practitioners feel that instead of using only on-the-run issues, all treasury coupon securities and bills are to be used for constructing the theoretical spo

Future V alue The value of an investment is based on the rate of interest paid at set time periods and at some point in the future. Future values incorporate both the i

Describe the general pattern of cash flows from a bond with a positive coupon rate. Cash flows as of a bond with a positive coupon rate consist of periodic interest payments an