#### The Dow Jones: Beautiful Tree in the Desert by Wim Grommen

Sign up for our free newsletter

The Dow Jones Industrial Average (DJIA) Index is the only stock market index that covers both the second and the third industrial revolution. Calculating share indexes such as the Dow Jones Industrial Average and showing this index in a historical graph is a useful way to show which phase the industrial revolution is in. Changes in the DJIA shares basket, changes in the formula and stock splits during the take-off phase and acceleration phase of industrial revolutions are perfect transition-indicators. The similarities of these indicators during the last two revolutions are fascinating, but also a reason for concern. In fact the graph of the DJIA is a classic example of fictional truth, a fata morgana.

### Transitions

Every production phase, civilization or other human invention goes through a so called transformation process. Transitions are social transformation processes that cover at least one generation. In this article I will use one such transition to demonstrate the position of our present civilization and its possible effect on stock exchange rates.

A transition has the following characteristics:

- it involves a structural change of civilization or a complex subsystem of our civilization
- it shows technological, economical, ecological, socio cultural and institutional changes at different levels that influence and enhance each other
- it is the result of slow changes (changes in supplies) and fast dynamics (flows)

A transition process is not fixed from the start because during the transition processes will adapt to the new situation. A transition is not dogmatic.

### Four transition phases

In general transitions can be seen to go through the S curve and we can distinguish four phases (see fig. 1):

- a pre development phase of a dynamic balance in which the present status does not visibly change
- a take off phase in which the process of change starts because of changes in the system
- an acceleration phase in which visible structural changes take place through an accumulation of socio cultural, economical, ecological and institutional changes influencing each other; in this phase we see collective learning processes, diffusion and processes of embedding
- a stabilization phase in which the speed of sociological change slows down and a new dynamic balance is achieved through learning

A product life cycle also goes through an S curve. In that case there is a fifth phase:

- the degeneration phase in which cost rises because of over capacity and the producer will finally withdraw from the market.

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 :

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

### Dow Jones Industrial Average (DJIA)

The Dow Jones Industrial Average (DJIA) index is the oldest shares index in the United States. A select group of journalists of The Wall Street Journal decide which companies are included in the most influential stock exchange index in the world. Unlike most other indices the Dow is a price average index. This means that shares with a high price have a great influence on the movements of the index. Calculating stock index values such as the Dow and presenting the index in a historical graphs is a perfect way of indicating which phase an industrial revolution is in.

The Dow was first published in 1896. The index was calculated by dividing the sum of the shares by 12:

*Dow-index_1896 = (x1 + x2+ ……….+x12) / 12*

An index is calculated on the basis of a set of shares. Every index has its own formula and the formula results in the number of points of the index. However, this set of shares changes regularly. It is therefore very strange that different sets of shares are represented by the same unit.

After a period of 25 years the value of the original set of 12 apples is compared to the value of a set of 30 pears. In 1929 only 2 of the original 12 companies of the Dow were still present.

The most remarkable characteristic is of course the constantly changing set of shares. Generally speaking, the companies that are removed from the set are in a stabilization or degeneration phase. Companies in a take off phase or acceleration phase are added to the set. This greatly increases the chance that the index will rise rather than go down. This is obvious, especially when this is done during the acceleration phase of a transition. In 1916 the Dow was extended to 20 companies; 4 companies were taken out and 12 were added.

*Dow-index_1916 = (x1 + x2+ ……….+x20) / 20*

This way of calculating the index actually creates a kind of pyramid scheme. All goes well as long as companies are added that are in their take off phase or acceleration phase. At the end of a transition there will be fewer companies in those phases.

The shares of a number of companies were split during the years and for those shares a factor was added to the calculation. The formula is as follows (American Can is multiplied by 6, General Electric by 4).

*Dow-index_1927 = (6.x1 + 4.x2+ ……….+x20) / 20*

Things take a bizarre turn with the changes to the Dow Jones of 1 October 1928.

On 1 October 1928 the Dow Jones is enlarged to 30 shares.

Because all calculations are done by hand, the calculation formula of the index is simplified. The Dow Divisor is introduced. The index is calculated by dividing the sum of the share values using the Dow Divisor.

Because the value on 1 October 1928 must remain the same, the Dow Divisor is set at 16.67. The index graphs of before and after 1 October be a continuous line.

*Dow-index_okt_1928 = (x1 + x2+ ……….+x30) / 16.67*

On 1 October 1928 the value of the Dow is 239, so the sum of the shares is 3984 dollars. From that moment on an increase (or decrease) of the set of shares results in almost twice as many (or fewer) index points. In the old formula the sum would have been divided by 30.

With every change in the set of shares used to calculate the Dow, the value of the Dow Divisor also changes. This is done because the index which is the result of two different sets of shares at the moment the set is changed must be the same for both sets at that point in time. The same thing happens when shares are split. In the fall of 1928 and spring of 1929 8 shares are split decreasing the Dow Divisor to 10.47.

*Dow-index_sept_1929 = (x1 + x2+ ……….+x30) / 10.47*

From that moment on a an increase (or decrease) of the set of shares results in almost three times as many (or fewer) index points as a year before. In the old formula the sum would have been divided by 30. The Dow’s highest point is on 3 September 1929 at 381 points.

So the extreme increase followed by