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The DJIA is a hoax

By Wim Grommen - posted Monday, 24 March 2014


Figure 1. The S curve of a transition
Four phases in a transition best visualized by means of an S curve:
Pre-development, Take-off, Acceleration, Stabilization.

When we look back into the past we see three transitions, also called industrial revolutions, taking place with far-reaching effect :

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  1. The first industrial revolution (1780 until circa 1850); the steam engine
  2. The second industrial revolution (1870 until circa 1930); electricity, oil and the car
  3. The third industrial revolution (1950 until ....); computer and microprocessor

Dow Jones Industrial Average (DJIA)

The Dow Index was first published in 1896 when it consisted of just 12 constituents and was a simple price average index in which the sum total value of the shares of the 12 constituents were simply divided by 12. As such those shares with the highest prices had the greatest influence on the movements of the index as a whole. In 1916 the Dow 12 became the Dow 20 with four companies being removed from the original twelve and twelve new companies being added. In October, 1928 the Dow 20 became the Dow 30 but the calculation of the index was changed to be the sum of the value of the shares of the 30 constituents divided by what is known as the Dow Divisor.

While the inclusion of the Dow Divisor may have seemed totally straightforward it was – and still is – anything but! Why so? Because every time the number of, or specific constituent, companies change in the index any comparison of the new index value with the old index value is impossible to make with any validity whatsoever. It is like comparing the taste of a cocktail of fruits when the number of different fruits and their distinctive flavours – keep changing. Let me explain the aforementioned as it relates to the Dow.

The False Appreciation of the Dow Explained

On the other hand, companies in the take-off or acceleration phase are added to the index. This greatly increases the chances that the index will always continue to advance rather than decline. In fact, the manner in which the Dow index is maintained actually creates a kind of pyramid scheme! All goes well as long as companies are added that are in their take-off or acceleration phase in place of companies in their stabilization or degeneration phase.

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On October 1st, 1928, when the Dow was enlarged to 30 constituents, the calculation formula for the index was changed to take into account the fact that the shares of companies in the Index split on occasion. It was determined that, to allow the value of the Index to remain constant, the sum total of the share values of the 30 constituent companies would be divided by 16.67 ( called the Dow Divisor) as opposed to the previous 30.

On October 1st, 1928 the sum value of the shares of the 30 constituents of the Dow 30 was $3,984 which was then divided by 16.67 rather than 30 thereby generating an index value of 239 (3984 divided by 16.67) instead of 132.8 (3984 divided by 30) representing an increase of 80% overnight!! This action had the affect of putting dramatically more importance on the absolute dollar changes of those shares with the greatest price changes. But it didn't stop there!

On September, 1929 the Dow divisor was adjusted yet again. This time it was reduced even further down to 10.47 as a way of better accounting for the change in the deletion and addition of constituents back in October, 1928 which, in effect, increased the October 1st, 1928 index value to 380.5 from the original 132.8 for a paper increase of 186.5%!!! From September, 1929 onwards (at least for a while) this "adjustment" had the affect – and I repeat myself – of putting even that much more importance on the absolute dollar changes of those shares with the greatest changes.

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This article was first published in Technical Analysis of Stocks and Commodities.



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About the Author

Wim Grommen was teacher in mathematics and physics for ten years at secondary schools. The last twenty years he trained programmers in Oracle-software. He worked almost five years as trainer for Oracle and the last 17 years as trainer for Transfer Solutions in the Netherlands. The last 15 years he has studied transitions, social transformation processes, the S-curve and transitions in relation to market indices. Articles about these topics have been published in various magazines and sites in The Netherlands and Belgium.

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All articles by Wim Grommen

Creative Commons LicenseThis work is licensed under a Creative Commons License.

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