Example 2.2
Price-Weighted Average
You might wonder why the DJIA is now (in early 2013) at a level of about 14,000 if it is
supposed to be the average price of the 30 stocks in the index. The DJIA no longer equals
the average price of the 30 stocks because the averaging procedure is adjusted whenever a
stock splits or pays a stock dividend of more than 10%, or when one company in the group
of 30 industrial firms is replaced by another. When these events occur, the divisor used to
compute the “average price” is adjusted so as to leave the index unaffected by the event.
Suppose XYZ were to split two for one so that its share price fell to $50. We would not
want the average to fall, as that would incorrectly indicate a fall in the general level of
market prices. Following a split, the divisor must be reduced to a value that leaves the
average unaffected. Table 2.4 illustrates this point. The initial share price of XYZ, which
Example 2.3
Splits and Price-Weighted Averages
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