Tests for consistency, Financial Management

Assignment Help:

Tests for Consistency

The consistency of the index numbers have been tested over the years. The most important of these tests are:

  1. The time reversal test

  2. The factor reversal test

  3. The circular test.

Time Reversal Test

Time reversal test has been developed by Prof. Irving Fisher. The test implies that for a price/quantity index, if the time periods are reversed, the resulting index should be the reciprocal of the original price/quantity index. 

If I0,1 denotes the original index for the current year with a given base year, and if I1, 0 denotes the resulting index, with time periods reversed, for the base year with the current year as a base year, then according to the time reversal test,

I0, 1 = 

1571_time reversal test.png  (or) I0, 1 x I1, 0 = 1

Let us test the consistency of the indices by interchanging 0 and 1 with 1 and 0 respectively.

It can be shown that Fisher's Ideal Index, Marshall-Edgeworth Index and Fixed Weights Aggregate Index satisfy this test. Laspeyres Index and Paasche Index do not. 

Factor Reversal Test

This test was also suggested by Prof. Irving Fisher. According to Prof. Fisher just as each formula should permit the interchange of the two time periods without giving inconsistent results, it ought to permit interchanging of the prices and quantities without giving inconsistent result, i.e. the two results multiplied together should give the true value ratio.

The product of change in prices in the current year and the change in quantities in the current year should be equal to  246_time reversal test1.png  (Value ratio)

where,

P1=Prices in the current year

P0=Prices in the base year

Q1=Quantities in the current year

Q0=Quantities in the base year

The test can be applied to the index numbers by interchanging P to Q and Q to P.

Except Fischer's Ideal Index, all other elementary indices, simple as well as weighted, fail to satisfy this test. 

Circular Test

Circular test is an extension of the time reversal test. This test is used while measuring price changes over a number of years with the shifting of base occurring frequently. According to this test, an index constructed for the year 'X' on base year 'Y' and for the year 'Y' on base year 'Z' should yield the same result as an index constructed for 'X' on base year 'Z'.

i.e. I0,1 x I1,2 x I2,0 = 1.

Laspeyres, Paasche and Fisher's indices fail to satisfy this test. Only the fixed weight aggregates method and simple aggregates method satisfy this test.

The indices satisfying the circular test would be amenable to change from year to year without referring to the base year. The indices have the advantage of reduced computational work in the event of a change in the base year.


Related Discussions:- Tests for consistency

Analysis of financial plans, Part 1: Contingency plan Create contingency pl...

Part 1: Contingency plan Create contingency plans for the following scenarios: > One of your highly qualified consultants has given three months notice and is planning to move to a

Index amortizing notes (ina), In the Index Amortizing note, the princ...

In the Index Amortizing note, the principal is repaid according to an amortization schedule linked to a specific reference rate. It is structured in such a manner

Dividend policies, explain for factors influencing design for dividend poli...

explain for factors influencing design for dividend policies

Explain the political events in a host country, Discuss the different ways ...

Discuss the different ways political events in a host country may affect local operations of an MNC. Answer:  The answer can be organized based on the three types of political ri

Translation process among the monetary/nonmonetary method, Explain the dist...

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

Define the total quality management, a) An approx. 3% defect rate (i.e. 0.0...

a) An approx. 3% defect rate (i.e. 0.03 x 300m units) = 9m units per year. b) A apparent definition of Quality Assurance should be awarded, e.g. the management process of guaran

What are the financing and investing decision, What are the Financing and i...

What are the Financing and investing decision Financing and investing decisions are closely related as the company is going toraise money to invest in a project or assets. Thos

Dividend payout ratio, Dividend Payout Ratio The percentage of earnings...

Dividend Payout Ratio The percentage of earnings or profit paid to shareholders in dividends. Computed as:   The payout ratio gives an idea about how well earning

Rationale for mergers, Rationale for Mergers Many of the motives behind...

Rationale for Mergers Many of the motives behind mergers of firms are discussed hereunder: Growth Growth is the most general and important motive for mergers. Merging f

Assignment, Imagine you have been allocated $100,000 which is to be investe...

Imagine you have been allocated $100,000 which is to be invested in 8 companies listed on the Australian Stock Exchange (ASX). You are required to have a balanced portfolio betwee

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