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INDEX NUMERS
What is Index Number?
• An index number is the measure of change in a variable (or group of
variables) over time. It is typically used in economics to measure
trends in a wide variety of areas including: stock market prices, cost of
living, industrial or agricultural production, and imports. Index
numbers are one of the most used statistical tools in economics.
• MEASURES THE RLATIVE CHANGE IN A VERIABLE OVER ONE TIME
PERIOD TO ANOTHER.
• Using the index number we can make number MEANINGFUL &
CONVERTIBLE.
EXAMPLE
P of Sugar = (3200/2200)*100 = 145.45
P of Milk = (20/18)*100 = 111.11
P of oil = (71/68)*100 = 104.41
P of Wheat = (1000/900)*100 = 111.11
P of Clothing = (60/50)*100 = 120
Uses of Index Number
• To make number convertible.
• To make a meaningful comment.
• To make large information into short.
Types
 Unweighted Indexes
Simple Average of the Price Indexes
Simple Aggregate Index
 Weighted Indexes
Lespeyres Price Index
Paasche Price Index
 Fisher’s Price Index
 Value Index
 Special Purpose Index
Consumer Price Index
Producer Price Index
S&P Index
Unweighted index
Table: Price & Quantity of Import of selected Items:
Item 2015-16
Price (Po)
2016-17 Price
(Pt)
2015-16
Quantity (Qo)
2016-17
Quqntity (Qt)
Simple Index
(price) (Pi)
Rice 11071 10238 357 298 92.48
Wheat 75941 107186 4183 6164 141.14
Edible Oil 147941 273069 4335 4621 184.58
Sugar 55899 90737 2065 2468 162.32
Fertilizer 91920 66485 3262 2907 72.33
Raw Cotton 178249 1888 389 1481 1.06
561021 549603 653.91
Data source :
http://bbs.portal.gov.bd/sites/default/files/files/bbs.portal.gov.bd/page/a1d32f13_8553_44f1_92e6_8ff80a
4ff82e/Bangladesh%20%20Statistics-2017.pdf
Unweighted Index:
Simple Average of the price Index: P = ∑Pi/n
P = 653.91/6
P = 108.99
Simple Aggregate Index: P =
P = (549603/561021) *100
P = 97.96
x 100
Weighted Index:
Lespeyres Index: P =
P = (2040748526/1447551121) * 100
P = 140.9793
Paasches Index: P =
P = (2345604216/1824191784) * 100
P = 128.5832
x 100
x 100
Fisher's Ideal Index:
=134.6387
Value Index V =
V = (2345604216/1447551121) X 100
V = 162.0395
x 100
CPI vs. PPI
CPI PPI
Elaboration Consumer Price Index Producers’ Price Index
Price level Dealer price level Mill gate or wholesale price level
Origin of products Domestic & Foreign Domestic
Products Only market basket goods &
services
All goods whose are produced in a
certain time period.
Present Present the livelihood Present the production cost

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INDEX NUMBER.pptx

  • 2. What is Index Number? • An index number is the measure of change in a variable (or group of variables) over time. It is typically used in economics to measure trends in a wide variety of areas including: stock market prices, cost of living, industrial or agricultural production, and imports. Index numbers are one of the most used statistical tools in economics. • MEASURES THE RLATIVE CHANGE IN A VERIABLE OVER ONE TIME PERIOD TO ANOTHER. • Using the index number we can make number MEANINGFUL & CONVERTIBLE.
  • 3. EXAMPLE P of Sugar = (3200/2200)*100 = 145.45 P of Milk = (20/18)*100 = 111.11 P of oil = (71/68)*100 = 104.41 P of Wheat = (1000/900)*100 = 111.11 P of Clothing = (60/50)*100 = 120
  • 4. Uses of Index Number • To make number convertible. • To make a meaningful comment. • To make large information into short.
  • 5. Types  Unweighted Indexes Simple Average of the Price Indexes Simple Aggregate Index  Weighted Indexes Lespeyres Price Index Paasche Price Index  Fisher’s Price Index  Value Index  Special Purpose Index Consumer Price Index Producer Price Index S&P Index
  • 6. Unweighted index Table: Price & Quantity of Import of selected Items: Item 2015-16 Price (Po) 2016-17 Price (Pt) 2015-16 Quantity (Qo) 2016-17 Quqntity (Qt) Simple Index (price) (Pi) Rice 11071 10238 357 298 92.48 Wheat 75941 107186 4183 6164 141.14 Edible Oil 147941 273069 4335 4621 184.58 Sugar 55899 90737 2065 2468 162.32 Fertilizer 91920 66485 3262 2907 72.33 Raw Cotton 178249 1888 389 1481 1.06 561021 549603 653.91 Data source : http://bbs.portal.gov.bd/sites/default/files/files/bbs.portal.gov.bd/page/a1d32f13_8553_44f1_92e6_8ff80a 4ff82e/Bangladesh%20%20Statistics-2017.pdf
  • 7. Unweighted Index: Simple Average of the price Index: P = ∑Pi/n P = 653.91/6 P = 108.99 Simple Aggregate Index: P = P = (549603/561021) *100 P = 97.96 x 100
  • 8. Weighted Index: Lespeyres Index: P = P = (2040748526/1447551121) * 100 P = 140.9793 Paasches Index: P = P = (2345604216/1824191784) * 100 P = 128.5832 x 100 x 100
  • 9. Fisher's Ideal Index: =134.6387 Value Index V = V = (2345604216/1447551121) X 100 V = 162.0395 x 100
  • 10. CPI vs. PPI CPI PPI Elaboration Consumer Price Index Producers’ Price Index Price level Dealer price level Mill gate or wholesale price level Origin of products Domestic & Foreign Domestic Products Only market basket goods & services All goods whose are produced in a certain time period. Present Present the livelihood Present the production cost