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Stock Market Index
Importance of Stock Market
             Index
β€’ It is a standard of comparison to judge
  the performance of individual investor
β€’ To evaluate alternative investments
β€’ To measure the market rates of return
β€’ To predict the market movements
Construction of Stock Market Index
β€’ A stock market average is a weighted or
  unweighted average stock price
β€’ A price index number is a pure number that is
  void of any unit of measurement
β€’ Indexes are more useful as they are designed to
  avoid distortions
β€’ Index numbers are constructed from a base date
  value to serve as the index’s starting point with a
  perspective to have a time-series of index
  numbers
Factors affecting the construction
     of stock market index
β€’ Sample size
  – Sample should be large enough to be
    statistically significant
β€’ Representativeness
  – It should be representative of total
    population and should possess
    characteristics of interest
β€’ Base year
  – It should be a normal year
Factors affecting the construction of
          stock market index
β€’ Weighting criteria
  – Equally Weighted Series
  – Price Weighted Series
  – Market value Weighted Series
β€’ Convenient units
  – An index should be stated in convenient units to
    facilitate answering questions
β€’ Uniform definition
  – An index should maintain continuity and there should
    not be a change in the way an index is constructed
Factors affecting the construction of
          stock market index
β€’ Economical
   – Computational costs are low but one should keep in
     mind economies in gathering and updating data
β€’ Timeliness
   – A price indicator should reflect all changes in the
     underlying prices immediately
β€’ Descriptive title
   – A price indicator should bear a title that suggests
     what it represents unambiguously
Example---


             Quantity   Base Price   Current
 Stocks                              price

 A           60,000     30           45


 B           20,000     25           80

 C           90,000     65           85
Calculations
β€’   Equally weighted series---
β€’    1/3 (45/30 + 80/ 25 + 85 / 65) = 2.0033
β€’   Price weighted series---
β€’   (45 + 80 + 85)/ )(30 + 25 + 65) = 1.75
β€’   Market value weighted series---
β€’    (60 000*45 + 20 000*80 + 90 000* 85) / (60
    000*30 + 20 000*25 + 90 000* 65) = 1.46
Popular Stock Market Indexes in India

Index           Sample       Base      Base       Weighting
                size         Year      Value      type
BSE sensex      30           1978-79   100        Value
                                                  weighted
CNX Nifty       50           Nov 3, 100           -do-
                             1995
Economic        72           1984-85   100        Equal
times                                             weighted
Financial Exp   100          1979-80   100        Value

RBI Index       338          1981-82   100        Un-weighted


BSE National    100          1983-84   100        Value
Popular Stock Market Indexes Abroad




Index             Sample   Base      Base      Weighting
                  size     Year      Value     type
DJIJ              30       1938      100       Price

S & P Composite   500      1941-42   10        Value
NYSE              2818     1965      50        Value


NASDAQ            5575     -         -         Value

Tokyo             1800     -         -         Value
The Dow Jones Industrial Average
β€’ (DJIA)
β€’ In 1884, Charles Dow started publishing the
  daily average of eleven stocks in WSJ
β€’ In 1928 the sample size increased to 30 and it
  remains there today.
β€’ The companies that Mr. Dow selected were not
  representative sample of that time
β€’ DJIA may be a misnomer because small,
  medium and new companies do not figure in it
The Dow Jones Industrial Average
β€’ Stock dividend and stock split have a
  predictable impact on the prices of equity
  shares but do not change the total market
  value of all shares outstanding
β€’ In 1928 the original 30 stocks prices were
  simply summed up and total was divided
  by 30 to obtain DJIA value
Maintaining a Price Index
β€’ Three common problems that require revisions
  are:
β€’ Adjustment for stock dividends and stock splits
β€’ Changing the number of stocks in the sample
β€’ Making substitutions to replace securities that
  become unsatisfactory
β€’ Stocks are added or deleted when they are
  listed or delisted, mergers, liquidations etc.
6 Stock Market Index
6 Stock Market Index
6 Stock Market Index

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6 Stock Market Index

  • 2. Importance of Stock Market Index β€’ It is a standard of comparison to judge the performance of individual investor β€’ To evaluate alternative investments β€’ To measure the market rates of return β€’ To predict the market movements
  • 3. Construction of Stock Market Index β€’ A stock market average is a weighted or unweighted average stock price β€’ A price index number is a pure number that is void of any unit of measurement β€’ Indexes are more useful as they are designed to avoid distortions β€’ Index numbers are constructed from a base date value to serve as the index’s starting point with a perspective to have a time-series of index numbers
  • 4. Factors affecting the construction of stock market index β€’ Sample size – Sample should be large enough to be statistically significant β€’ Representativeness – It should be representative of total population and should possess characteristics of interest β€’ Base year – It should be a normal year
  • 5. Factors affecting the construction of stock market index β€’ Weighting criteria – Equally Weighted Series – Price Weighted Series – Market value Weighted Series β€’ Convenient units – An index should be stated in convenient units to facilitate answering questions β€’ Uniform definition – An index should maintain continuity and there should not be a change in the way an index is constructed
  • 6. Factors affecting the construction of stock market index β€’ Economical – Computational costs are low but one should keep in mind economies in gathering and updating data β€’ Timeliness – A price indicator should reflect all changes in the underlying prices immediately β€’ Descriptive title – A price indicator should bear a title that suggests what it represents unambiguously
  • 7. Example--- Quantity Base Price Current Stocks price A 60,000 30 45 B 20,000 25 80 C 90,000 65 85
  • 8. Calculations β€’ Equally weighted series--- β€’ 1/3 (45/30 + 80/ 25 + 85 / 65) = 2.0033 β€’ Price weighted series--- β€’ (45 + 80 + 85)/ )(30 + 25 + 65) = 1.75 β€’ Market value weighted series--- β€’ (60 000*45 + 20 000*80 + 90 000* 85) / (60 000*30 + 20 000*25 + 90 000* 65) = 1.46
  • 9. Popular Stock Market Indexes in India Index Sample Base Base Weighting size Year Value type BSE sensex 30 1978-79 100 Value weighted CNX Nifty 50 Nov 3, 100 -do- 1995 Economic 72 1984-85 100 Equal times weighted Financial Exp 100 1979-80 100 Value RBI Index 338 1981-82 100 Un-weighted BSE National 100 1983-84 100 Value
  • 10. Popular Stock Market Indexes Abroad Index Sample Base Base Weighting size Year Value type DJIJ 30 1938 100 Price S & P Composite 500 1941-42 10 Value NYSE 2818 1965 50 Value NASDAQ 5575 - - Value Tokyo 1800 - - Value
  • 11. The Dow Jones Industrial Average β€’ (DJIA) β€’ In 1884, Charles Dow started publishing the daily average of eleven stocks in WSJ β€’ In 1928 the sample size increased to 30 and it remains there today. β€’ The companies that Mr. Dow selected were not representative sample of that time β€’ DJIA may be a misnomer because small, medium and new companies do not figure in it
  • 12. The Dow Jones Industrial Average β€’ Stock dividend and stock split have a predictable impact on the prices of equity shares but do not change the total market value of all shares outstanding β€’ In 1928 the original 30 stocks prices were simply summed up and total was divided by 30 to obtain DJIA value
  • 13. Maintaining a Price Index β€’ Three common problems that require revisions are: β€’ Adjustment for stock dividends and stock splits β€’ Changing the number of stocks in the sample β€’ Making substitutions to replace securities that become unsatisfactory β€’ Stocks are added or deleted when they are listed or delisted, mergers, liquidations etc.