INDEX NUMBERS

1. Economics:
Introduction to index
numbers

2. Topic Introducation
• An index number is an economic data figure
reflecting price or quantity compared with a
standard or base value. The base usually equals 100
and the index number is usually expressed as 100
times the ratio to the base value..
• A simple index number is the ratio of two values
representing the same variable, measured in two
different situations or in two different periods. For
example, a simple index number of price will
give the relative variation of the price between the
current period and a reference period.

3. Some More information about
INDEX NUMBER
• Economists frequently use index numbers when
making comparisons over time. An index starts
in a given year, the base year, at an index
number of 100. ... An index number of 102
means a 2% rise from the base year, and an
index number of 98 means a 2% fall.

4. Example

5. Index Numbers have the following
features
• (i) Index numbers are specialised
averages which are capable of being
expressed in percentage.
• (ii) Index numbers measure the changes in the
level of a given phenomenon.
• (iii) Index numbers measure the effect
of changes over a period of time

6. • 1. Index number helps in measuring relative
changes in a set of items.
• 2. Index numbers provide a good basis of
comparison because they are expressed in
abstract unit distinct from the unit of
element.
• 3. Index numbers help in framing suitable
policies for business and economic
Index Numbers are indispensable tools of
economic and business analysis. Their
significance can be appreciated by
following points :

7. PROBLEMS RELATED TO INDEX NUMBERS

9. WAYSOFCONSTRUCTINGINDEX
NUMBERS

10. SIMPLE AGGREGATIVE
METHOD
• Simple Aggregative
Under this method, the price index for a given
period is obtained by dividing the aggregate of
different prices of the current year by the aggregate
of different prices of the base year, and multiplying
the quotient by 100. As such, the price index, under
this method, is computed by the formula,
•P
01
= ( ∑P1/∑P0 ) X 100
•Where, P
01
= Price index of the current year
with reference to the base year
• ∑P1 = total of the prices of the current year

18. Weighted average of price relative
The Weighted Average of Relatives Price Index. ... As the
term suggests, in 'a weighted average of relatives
computation, each relative is multiplied by its weight, the
products are added, and then the sum of the products is divided
by the sum of the weights. Weighted arithmetic mean of price
relative-
∑V
= ∑PV
P01
P
0
P = P1 ×100
Where-
P=Price relative
V=Value weights=
p0 q0

19. Weighted average of price relative

20. Value index numbers

21. A chain index is an index number in which the value of any
given period is related to the value of its immediately preceding period (resulting
in an index for the given period expressed against the preceding period = 100);
this is distinct from the fixed-base index, where the value of every period in a
time series is directly related to the same value of one fixed base period.
Calculate Chain Index Number for the following