Constructing index numbers - aggregates method, Financial Management

Assignment Help:

Aggregates Method

Under the aggregates method of constructing an index number, we could have unweighted aggregates index and the weighted aggregates index.

Unweighted Aggregates Index

An unweighted aggregates index is calculated by totalling the current year/given year's elements and then dividing the result by the sum of the same elements during the base period. To construct a price index, the following mathematical formula may be used

Unweighted Aggregates Price Index = 2024_Aggregates method.png x 100

where,     

 

369_Aggregates method1.png

 =  Sum of all elements in the composite for current year

1340_Aggregates method2.png

 =

Sum of all elements in the composite for base year

This is the simplest method of constructing index numbers. The example demonstrates the application of an unweighted index.

Construction of Unweighted Price Index

Elements in the composite

Prices (in Rs.)

 

 

2000

2001

 

(P0)

(P1)


Oranges (1 dozen)

20

28

Milk (1 liter)

5

8

LPG Cylinder

76

100


 

101

136


Unweighted aggregates price index = 1607_Aggregates method3.png




134.65
       

Above we measured changes in general price levels on the basis of changes in prices of a few items. While the year 2000 was taken as the base year, a comparison has been made between the prices of 2001 and that of the base year 2000. As evident, the price index was 134.65 which means that the prices rose by 34.65 percent from 2000 to 2001. By no means should this price index be interpreted as a reflection of the price changes of all goods and services as this calculation is a rough estimate. On inclusion of other items/elements and varying weights in the composite, with 2000 as the base year and 2001 as the current year, there is every possibility that the calculated price index would be different from the price index calculated earlier. This factor can be cited as one of the drawbacks of the simple unweighted index. The unweighted index does not reflect the reality since the price changes are not linked to any usage/consumption levels. On the other hand, a weighted index attaches weights according to their significance and hence is preferred to the unweighted index.

To make this clear, let us calculate the price index with the same data provided above but by changing the milk consumption from 1 liter to 100 liters. The following table provides the calculation of the price index.

Unweighted Price Index

                                                       (Rs. in crore)

 

Elements in the composite

Prices (in Rs.)

 

2000

2001

 

 

(P0)

(P1)


Oranges (1 dozen)

20

28

Milk (100 liters)

500

800

LPG Cylinder

76

100


 

596

928


Unweighted aggregates price index = 404_Aggregates method4.png



 = 155.70

Merely by changing the milk consumption in the composite, the unweighted price index changed from 134.65 to 155.70. As a result of ensuring that equal importance is given to all items in the composite irrespective of the consumption, the unweighted aggregates never gained much acceptance.

An unweighted aggregates quantity index and, an unweighted aggregates value index can be calculated on similar lines as calculated for price index. A mere substitution of quantities or values for prices in the equation   357_Aggregates method5.png  would suffice.


Related Discussions:- Constructing index numbers - aggregates method

Describe the types of financial ratios, 1. Describe the types of financial ...

1. Describe the types of financial ratios and other financial performance measures that are used during a venture's successful life cycle. Who are the users of financial performan

Loans from the financial institutions, Loans from the financial institution...

Loans from the financial institutions: Financial institutions such as the commercial bank life insurance corporation, industries financial development corporation bank of the

Homework, Homework 1. Suppose you deposit $18,000 into an account today th...

Homework 1. Suppose you deposit $18,000 into an account today that earns 6% interest per year, and you do not withdraw the money for 21 years. What will be the balance in the acco

Advantages and disadvantages of accounting rate of return, Advantages of AR...

Advantages of ARR: It is simple to calculate and easy to catch. With the help of this technique, direct comparisons among proposed projected of varying lives with no bu

Calculate the standard deviation , The attached file (MFR & FFM Ass Returns...

The attached file (MFR & FFM Ass Returns Data.xls) gives 132 months returns for thirty securities drawn from the FT ALL share index as well as the returns on the FT ALL share index

Cost of capital, the nu-nu brothers inc. (NNBI) has the following capital s...

the nu-nu brothers inc. (NNBI) has the following capital structure,

Explain the term credit unions, Credit unions Credit unions are non-pro...

Credit unions Credit unions are non-profit institutions jointly organised and owned by their members (depositors). Their main objective is to satisfy the depository and lending

Assignmment, what is logical process modelling? what is physical modelling?...

what is logical process modelling? what is physical modelling?

Determine profit for the year, The assets and liabilities of S Harrison as ...

The assets and liabilities of S Harrison as at 30 June 2012 are: On 1 July 2011 when the business commenced, Harrison owed $58,000 on the land and buildings and $1,200 on

Calculate the total cashflows, Calculate the Total Cashflows from 2007 - 20...

Calculate the Total Cashflows from 2007 - 2011.  Suppose that the company will require to increase their annual investment in fixed assets (representing new equipment) at the simil

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