Average of relatives method, Financial Management

Assignment Help:

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.


Related Discussions:- Average of relatives method

Explain arbitrage risk free arguments, The current market value of any real...

The current market value of any real or financial assets is the present value of the cash flows accruing to that asset discounted by a market determined risk-adjusted required rate

Explain efficient capital market & capital structure theory, Explain the Ef...

Explain the Efficient Capital Market and Capital Structure Theories? Briefly Explain the following expressions: (1) Efficient Capital Market, (2) Capital Structure Theori

Add or drop analysis, Add or Drop Analysis Lakespring Retirement Village is...

Add or Drop Analysis Lakespring Retirement Village is home to senior citizens who are fairly independent but need assistance with basic health care and occasional meals. Jill Thomp

What is capital budgeting, What is Capital Budgeting Capital Budgeting...

What is Capital Budgeting Capital Budgeting is probably the most financial decision for a firm. It relates to selection of an asset or investment proposal or course of action

Preparing financial statements using accrual basis, Question: On a pilo...

Question: On a pilot basis a Government Department, PPO, is preparing its financial statements using accrual basis. The following information is provided: The following bala

Portfolio Management, Portfolio Project The purpose of this project is to h...

Portfolio Project The purpose of this project is to help you to gain an understanding of how the stock market works and of the relationship between theory and practice. You are gi

Advantage and disadvantage of aggressive working capital, What are the adva...

What are the advantages and disadvantages of the aggressive working capital financing approach? An aggressive working capital financing approach generally results in a lower cost

Stock valuation, I just purchased a stock that would pay the dividends of t...

I just purchased a stock that would pay the dividends of the first four years as D1 = $0.65, D2 = $0.74, D3 = $0.79, D4 = $0.84. I also told that the dividends would grow continual

Rejecting proposed projects when using internal rate of retu, What is the d...

What is the decision rule for accepting or rejecting proposed projects when using internal rate of return? Whenever the internal rate of return is equal or greater than to the

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd