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Economics:
Introduction to index
numbers
PRESENTED BY-
Poonam Dua
Amend Education Academy
www.amendeducation.com
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.
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.
Example
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
• 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 activities"
Index Numbers are indispensable tools of
economic and business analysis. Their
significance can be appreciated by following
points :
PROBLEMS RELATED TO INDEX NUMBERS
WAYS OF CONSTRUCTING INDEX
NUMBERS
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,
• P01 = ( ∑P1/∑P0 ) X 100
• Where, P01 = Price index of the current year with
reference to the base year
• ∑P1 = total of the prices of the current year
• ∑P0 = total of the prices of the base year.
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
100
0
1
×=
P
P
PWhere-
P=Price relative
V=Value weights=
00qp
Weighted average of price relative
Value index numbers
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
Class 11 Economics -Introduction to index numbers

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Class 11 Economics -Introduction to index numbers

  • 1. Economics: Introduction to index numbers PRESENTED BY- Poonam Dua Amend Education Academy www.amendeducation.com
  • 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.
  • 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 activities" Index Numbers are indispensable tools of economic and business analysis. Their significance can be appreciated by following points :
  • 7. PROBLEMS RELATED TO INDEX NUMBERS
  • 8.
  • 9. WAYS OF CONSTRUCTING INDEX 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, • P01 = ( ∑P1/∑P0 ) X 100 • Where, P01 = Price index of the current year with reference to the base year • ∑P1 = total of the prices of the current year • ∑P0 = total of the prices of the base year.
  • 11.
  • 12.
  • 13.
  • 14.
  • 15.
  • 16.
  • 17.
  • 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 100 0 1 ×= P P PWhere- P=Price relative V=Value weights= 00qp
  • 19. Weighted average of price relative
  • 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