| How
Indexes are created:
Ramifications for the Index Investor
By Rahul Seksaria
Date |
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Not all indexes are created in the same way. How they are put
together can affect investor returns. Three methods primarily
used to construct indexes are:
- Market value-weighted Method - Each stock is given a weighting
proportional to its market capitalization
- Price Weighted Method - Each stock is given a weighting proportional
to its market price
- Equal Weighted Method - Each stock is equally weighted in
the index
The market value-weighted method, where a company worth
$2 Billion is given twice the weight of a company worth $1 Billion,
is the most popular way of creating an index. The Standard &
Poor's 500 Index is one example. A market value-weighted index
allows investors to best capture total economic activity and changes
in valuation of the companies in the index. By giving larger companies
higher weighting, this method reflects the fact that large companies
have larger revenues and profits and that any change will have
a larger effect on economic activity than change in smaller companies.
The NYSE Composite Index, Nasdaq Composite Index, Wilshire 5000,
London FTSE, and MSCI Indexes are all constructed using the market
value methodology.
A price-weighted index overweights the performance of
companies with higher listed stock prices. Richard Ciuba, Account
Development Executive in the Indexing Group at Dow Jones explains
why the DJIA (Dow Jones Industrial Average),
"The index was created a 100 years ago at a time when the main
emphasis was on fixed-income instruments. It was simply computed
as the average price of the 12 stocks that made up the index.
The creators did not anticipate stock splits, run-offs, takeovers,
mergers and acquisitions."
Early in this century, high prices were synonymous with larger
companies and higher market caps. Things are different today but
the old method is still used for computing the index. Why is the
DJIA at 10,000 if it is supposed to be the average price of the
30 stocks in the index today? It is because it has been adjusted
every time a stock split, a company paid a dividend of more than
10%, or a company in the group was replaced by another. The Japanese
Nikkei 225 is also price-weighted.
An equally-weighted index makes no distinction
between large and small companies, both of which are given equal
weighting. The good performance of large-cap stocks is negated
one-for-one by poor performance of smaller-cap stocks in this
index. Since there are many more small companies than large ones,
this strategy greatly overemphasizes the importance of small company
activity.
The graph below demonstrate how an index of two stocks would
be constructed with each index method, and how overweighting of
high priced stocks occurs in price-weighting and how overweighting
of small cap stocks occurs in the equally-weighted index.
The graph below demonstrate how an index of two stocks would
be constructed with each index method, and how overweighting of
high priced stocks occurs in price-weighting and how overweighting
of small cap stocks occurs in the equally-weighted index.

Over time indexes can diverge from each other. The graph below
shows the effect of a 20% decrease in Stock A's price and a
20% increase in Stock B's price on the indexes and the portfolio.
The market value-weighted index (with high weighting on Stock
A) falls by 12% and the price-weighted index (with high weighting
on Stock B) rises by 6.67% while the equally-weighted index remains
unchanged. The $1000 portfolio perfectly tracks the performance
of the respective index. Keep in mind though that portfolio returns
are higher than index returns that do not reflect the cash dividends
paid by companies.
A change in prices also changes the weighting of stocks in both
the market value-weighted and price-weighted index but does not
affect the weighting of stocks in the equally-weighted index (always
remains the same). Due to this, the portfolio tracking the equally-weighted
index is now out of sink with the index and must be rebalanced,
while the other two portfolios maintain correct weightings.

Computation of new index values: Market value-weighted: (80*.8)
+ (20*1.2) = 88, Price-weighted: (33.33*.8) + (66.67*1.2) = 106.67,
Equally-weighted: (50*.8) + (50*1.2) = 100