The Dow Jones Industrial Average: a Fata Morgana

by Wim Grommen

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):

  1. a pre development phase of a dynamic balance in which the present status does not visibly change
  2. a take-off phase in which the process of change starts because of changes in the system
  3. 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
  4. 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:

  1. Tthe 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:

  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 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 an extreme decrease of the Dow in the period 1920 – 1932 was primarily caused by changes to the formula, the constant changes to the set of shares during the acceleration phase of the second industrial revolution and splitting of s`hares during this period. Because of these changes in the Dow investors were wrong footed. The companies whose shares constituted the Dow index at that time also continued into the stabilization and degeneration phase.

The Dow Jones Industrial Index: a Fata Morgana

In many graphs the y-axis is a fixed unit, such as kg, meter, liter or euro. In the graphs showing the stock exchange values, this also seems to be the case because the unit shows a number of points. However, this is far from true! An index point is not a fixed unit in time and does not have any historical significance. An index is calculated on the basis of a set of shares. Every index has its own formula and the formula gives the number of points of the index. Unfortunately many people attach a lot of value to these graphs which are, however, very deceptive.

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. For a new period the value is based on a different set of shares. It is very strange that these different sets of shares are represented as the same unit. In less than ten years twelve of the thirty companies (i.e. 40%) in the Dow Jones were replaced. Over a period of sixteen years, twenty companies were replaced, a figure of 67%. This meant that over a very short period we were left comparing a basket of today’s apples with a basket of yesterday’s pears.

Even more disturbing is the fact that with every change in the set of shares used to calculate the number of points, the formula 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 index graphs must be continuous lines. For example, the Dow Jones is calculated by adding the shares and dividing the result by a number. Because of changes in the set of shares and the splitting of shares the divider changes continuously. At the moment the divider is 0.15571590501117 but in 1985 this number was higher than 1. An index point in two periods of time is therefore calculated in different ways:

Dow1985 = (x1 + x2 +..+x30) / 1

Dow2014 = (x1 + x2 +.. + x30) / 0.15571590501117

In the 1990s many shares were split. To make sure the result of the calculation remained the same both the number of shares and the divider changed. An increase in share value of 1 dollar of the set of shares in 2014 results is 6.4 times more points than in 1985. The fact that in the 1990s many shares were split is probably the cause of the exponential growth of the Dow Jones index. At the moment the Dow is at 16,437 points. If we used the 1985 formula it would be at 2,559 points.

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. From 1980 onward 7 ICT companies (3M, AT&T, Cisco, HP, IBM, Intel, Microsoft), the engines of the latest revolution and 5 financial institutions, which always play an important role in every transition, were added to the Dow Jones.

Table 1. Changes in the Dow, stock splits and the value of the Dow Divisor after the market crash of 1929

Click to View

Figure 2 Exchange rates of Dow Jones during the latest two industrial revolutions. During the last few years the rate increases have accelerated enormously.

Double manipulation

On September 23 2013, the Dow got the biggest facelift since 2004 in one fell swoop with the removal of 3 company constituents:

Hewlett- Packard Co. (+21.5% ytd), Bank of America Inc. (+52.0% ytd) and

Alcoa Inc. (-1.8% ytd)

And the addition of: Goldman Sachs Group Inc. (+25 ytd), Nike Inc. (+27% ytd) and

Visa Inc. (+18% ytd)

What is even more striking is that the three companies removed from the index have a low share price (HP is trading at an approximate price of $22, BoA at $14 and Alcoa at $8 for a sum total of $44) while the three stocks added have a high market price (Goldman Sachs at $164, Nike at $67 and Visa at $184 for a sum total of $415). Of course there is the Dow Divisor which supposedly ensures that the value of the Dow Jones with the new shares is the same as the value of the Dow Jones with the old shares but this effect is only short-term as, in the long-term, the profits of the higher priced stocks will be greater/stronger than those of the weaker stocks that they replaced.

The Dow 30 is calculated by dividing the sum of the 30 constituents’ shares by the Dow Divisor. On September 10, the Dow Jones ended at 15,191 points. The Dow Divisor currently has a value of 0.130216081. This means that the current total of 30 shares is worth $1,978 (15,191 x 0.130216081=$1,978).

HP is trading at an approximate price of $22, BoA at $14 and Alcoa at $8 (sum total of $44). These shares will be replaced by Goldman Sachs at $164, Nike at $67 and Visa at $184 (sum total of $415) which is 9.4 times more. This means that the new sum of the 30 stocks have a value of $2,349 (1978 – 44 + 415) and, therefore we expect that the Dow Divisor will be adjusted from 0.130216081 to 0.154631 to get back to the original 15,191 index points (15,191 x 0.154631 = $2,349).

Given the above, had the three old shares increased by 10% each in price in the past the Dow 30 would have increased by 33.8 points in total (10% x 44 divided by 0.130216081 = 33.79 points) assuming there was no change in the price of the other 27 stocks.

As of September 23rd, however, a corresponding 10% increase in the price of each of the new shares would contribute 268.4 points to the rise of the Dow 30 (10% x 415 divided by 0.154631 = 268.38) or 7.94 times more points.

The influence of the 3 losers was: $44 of $1978. This is 2.2% of the Dow Jones Index. The influence of the 3 winners becomes: $415 of $2,349. This is 17.67% of the Dow Jones Index. This stinks pretty much of manipulation, even double manipulation!

Overview from 1997: 20 winners in – 20 losers out, a figure of 67%

September 23, 2013: Hewlett – Packard Co., Bank of America Inc. and Alcoa Inc. replaced Goldman Sachs Group Inc., Nike Inc. and Visa Inc. Alcoa has dropped from $40 in 2007 to $8.08. Hewlett- Packard Co. has dropped from $50 in 2010 to $22.36. Bank of America has dropped from $50 in 2007 to $14.48. But Goldman Sachs Group Inc., Nike Inc. and Visa Inc. have risen 25%, 27% and 18% respectively in 2013.

September 20, 2012: UnitedHealth Group Inc. (UNH) replaces Kraft Foods Inc. Kraft Foods Inc. was split into two companies and was therefore deemed less representative so no longer suitable for the Dow. The share value of UnitedHealth Group Inc. had risen for two years before inclusion in the Dow by 53%.

June 8, 2009: Cisco and Travelers replaced Citigroup and General Motors. Citigroup and General Motors have received billions of dollars of U.S. government money to survive and were not representative of the Do.

September 22, 2008: Kraft Foods Inc. replaced American International Group. American International Group was replaced after the decision of the government to take a 79.9% stake in the insurance giant. AIG was narrowly saved from destruction by an emergency loan from the Fed.

February 19, 2008: Bank of America Corp. and Chevron Corp. replaced Altria Group Inc. and Honeywell International. Altria was split into two companies and was deemed no longer suitable for the Dow. Honeywell was removed from the Dow because the role of industrial companies in the U.S. stock market in the recent years had declined and Honeywell had the smallest sales and profits among the participants in the Dow.

April 8, 2004: Verizon Communications Inc., American International Group Inc. and Pfizer Inc. replace AT & T Corp., Eastman Kodak Co. and International Paper. AIG shares had increased over 387% in the previous decade and Pfizer had an increase of more than 675& behind it. Shares of AT & T and Kodak, on the other hand, had decreases of more than 40% in the past decade and were therefore removed from the Dow.

November 1, 1999: Microsoft Corporation, Intel Corporation, SBC Communications and Home Depot Incorporated replaced Chevron Corporation, Goodyear Tire & Rubber Company, Union Carbide Corporation and Sears Roebuck.

March 17, 1997: Travelers Group, Hewlett-Packard Company, Johnson & Johnson and Wal-Mart Stores Incorporated replaced Westinghouse Electric Corporation, Texaco Incorporated, Bethlehem Steel Corporation and Woolworth Corporation.

Real truth and fictional truth

Is the number of points that the Dow Jones now gives us a truth or a fictional truth? If a fictional truth then the number of points now says absolutely nothing about the state that the economy or society is in when compared to the past. In that case a better guide would be to look at the number of people in society that use food stamps today – That is the real truth.

 


Anthony Freda


Mr. Grommen was a teacher in mathematics and physics for eight years at secondary schools. The last twenty years he trained programmers in Oracle-software. The last 16 years he 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 / sites in The Netherlands and Belgium.

Market crash 1929, mystery unraveled?

By Wim Grommen

In the twenties of the last century the world, and especially the United States, experienced an economical high. As a result of this, share and stock prices rose to unprecedented heights, beyond reasonable values. The underlying economy had decreased in strength without this being reflected on the stock exchange. Investors were euphoric and stock prices were forced up against all economic logic. (1)

In my view the causes for the rise of the Dow Jones to unprecedented highs were the introduction of a new calculation method for the Dow on 1 October 1928, the introduction of the Dow-divisor, the extension of the Dow from 20 to 30 funds on 1 October 1928 and splitting the stock between October 1928 and November 1929 which was the last part of the acceleration phase of the second industrial revolution. These 3 factors caused the Dow to rise exponentially from 238 tot 381 points in de period October 1928 to September 1929, while the underlying economy strongly diminished in strength.

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(2):

– 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(3)

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

1. a pre development phase of a dynamic balance in which the present status does not visibly change
2. a take off phase in which the process of change starts because of changes in the system
3. 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
4. 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:

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

 

Indications of system transitions
– pre development
– take off
– acceleration
– stabilization

Figure 1: Four phases in a transition best visualized by means of an S curve.

When we look back into the past we see three transitions, also called industrial revolutions, taking place with far-reaching effect (4):

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

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.

Indications of system transitions
– pre development
– take off
– acceleration
– stabilization

Figure 2: The two most recent revolutions and the Dow Jones index
Dow Jones-index (graph) was (is) a fata morgana.

In many graphs the y-axis is a fixed unit, such as kg, meter, liter or euro. In the graphs showing the stock exchange values, this also seems to be the case because the unit shows a number of points. However, this is far from true! An index point is not a fixed unit in time and does not have any historical significance.

An index is calculated on the basis of a set of shares. Every index has its own formula and the formula gives the number of points of the index. Unfortunately many people attach a lot of value to these graphs which are, however, very deceptive.

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 an extreme decrease of the Dow in the period 1920 – 1932 was primarily caused by changes to the formula, the constant changes to the set of shares during the acceleration phase of the second industrial revolution and splitting of s`hares during this period. Because of these changes in the Dow investors were wrong footed. The companies whose shares constituted the Dow index at that time also continued into the stabilization and degeneration phase.

Déjà vu

Dow Jones Industrial Average

Figure 3 Exchange rates of Dow Jones during the latest two industrial revolutions. During the last few years the rate increases have accelerated enormously.

During the acceleration phase of the third industrial revolution, starting in 1980 with the appearance of the microprocessor, history repeated itself. The set of shares making up the Dow was almost completely replaced. Many shares were split which changed the Dow Divisor considerably. At the moment the Dow Divisor is 0,132319125, whereas this divisor was still more than 1 in 1985.

Dow-index_1985 = (x1 + x2 + ……..+x30) / 1.116

Dow-index_2009 = (x1 + x2 + …….. + x30) / 0,132319125

This explains the exponential rise of the Dow graph in the nineties. A rise in shares of 1 dollar of the set of shares in 2009 actually results in 8.4 more index points than in 1985 (the opposite happens when the shares go down). This explains why we have such extreme movements of the Dow in the previous period. At moment the Dow is at 9665 points, if we were to use the 1985 formula this would be 1150 points. Again investors have been lead onto the wrong path.

The real melt down of the Dow took place after the stock market crash of October 1929. During the period 1930 – 1932 the Dow continued to decrease from 230 to 41 points in the end. The crucial question is of course, whether the current underlying economy is strong enough to keep the Dow at its present level. Will the companies that make up the Dow not continue into the the stabilization and degeneration phase? Will there be enough new companies to act as new carriers of the Dow? And will that happen?

I call on the financial community to have a critical look at the formula used to calculate the Dow. If the present formula is retained, investors will be misguided with every new transition.

Wim Grommen

Source:

The article “Stock market crash 1929, mystery unraveled?”, in dutch “Beurskrach 1929, mysterie ontrafeld?” was published in January 2010 in a monthly magazine “Technische en Kwantitatieve Analyse”, a monthly publication of Beleggers Belangen (Investment Interests) in the Netherlands.
Sources used:

(1) http://nl.wikipedia.org/wiki/Beurskrach_van_1929

(2) Transities & transitiemanagement, casus van een emissiearme
energievoorziening, Prof. dr. ir. Jan Rotmans e.a. .

(3) Transities & transitiemanagement, casus van een emissiearme
energievoorziening, Prof. dr. ir. Jan Rotmans e.a. .

(4) Geschiedenis Werkplaatssite van Wolters-Noordhoff

Current Problems Associated with the End of the Third Industrial Revolution

By Wim Grommen, a teacher in mathematics and physics and later a trainer of programmers in Oracle software. He has also studied and written about transitions, social transformation processes, the S-curve and transitions in relation to market indices. Originally presented at an international symposium in Valencia: “The Economic Crisis: Time for a Paradigm Shift

ABSTRACT

This paper advances a hypothesis of the end of the third industrial revolution and the beginning of a new transition. Every production phase or civilization or human invention goes through a so- called transformation process. Transitions are social transformation processes that cover at least one generation. In this paper I will use one such transition to demonstrate the position of our present civilization. When we consider the characteristics of the phases of a social transformation we may find ourselves at the end of what might be called the third industrial revolution. The paper describes the four most radical transitions for mankind and the effects for mankind of these transitions: the Neolithic transition, the first industrial revolution, the second industrial revolution and the third industrial revolution.

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.

History has shown that five pillars are essential in a stable society: Food, Security, Health, Prosperity and Knowledge. At the end of every transition the pillar Prosperity is threatened. We have seen this effect at the end of every industrial revolution. Societies will have to make a choice for a new transition to be started.

1 INTRODUCTION

Every production phase or 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 paper I will use one such transition to demonstrate the position of our present civilization. When we consider the characteristics of the phases of a social transformation we may find ourselves at the end of what might be called the third industrial revolution. Transitions are social transformation processes that cover at least one generation (= 25 years).

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)

Examples of historical transitions are the demographical transition and the transition from coal to natural gas which caused transition in the use of energy. 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.

2 TRANSITIONS

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

1. A pre development phase of a dynamic balance in which the present status does not visibly change

2. A take off phase in which the process of change starts because of changes in the system

3. 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

4. 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

Untitled1

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

The process of the spreading of transitions over civilizations is influenced by a number of elements:

• Physical barriers: oceans, deserts, mountain ranges, swamps, lakes

• Socio-cultural barriers: difference in culture and languages

• Religious barriers

• Psychological barriers

When we look back over the past, we see four transitions taking place with far-reaching effects.

2.1 THE NEOLITHIC TRANSITION

The Neolithic transition was the most radical transition for mankind. This first agricultural revolution (10000 – 3000 BC) forms the change from societies of hunter gatherers (20 – 50 people) close to water with a nomadic existence to a society of people living in settlements growing crops and animals. A hierarchical society came into existence. Joint organizations protected and governed the interests of the individual. Performing (obligatory) services for the community could be viewed as a first type of taxation. Stocks were set up with stock management, trade emerged, inequality and theft. Ways of administering justice were invented to solve conflicts within and between communities and war became a way of protecting interests.The Neolithic revolution started in those places that were most favorable because of the climate and sources of food. In very cold, very hot or dry areas the hunter gatherer societies lasted longer.

Several areas are pointed out as possible starting points: southern Anatolia, the basins the Yangtze Kiang and Yellow river in China, the valley of the Indus, the present Peru in the Andes or what is now Mexico in Central America. From these areas the revolution spread across the world. The start of the Neolithic era and the spreading process are different in each area. In some areas the changes are relatively quick and some authors therefore like to speak of a Neolithic revolution. Modern historians prefer to speak of the Neolithic evolution. They have come to realize that in many areas the process took much longer and was much more gradual than they originally thought.

2.2 THE FIRST INDUSTRIAL REVOLUTION

The first industrial revolution lasted from around 1780 tot 1850. It was characterized by a transition from small scale handwork to mechanized production in factories. The great catalyst in the process was the steam engine which also caused a revolution in transport as it was used in railways and shipping. The first industrial revolution was centered around the cotton industry. Because steam engines were made of iron and ran on coal, both coal mining and iron industry also flourished.

Britain was the first country that faced the industrial revolution. The steam engine was initially mainly used to power the water pumps of mines. A major change occurred in the textile industry. Because of population growth and colonial expansion the demand for cotton products quickly increased. Because spinners and weavers could not keep up with the demand, there was an urgent need for a loom with an external power unit, the power loom.

A semi-automatic shuttleless loom was invented, and a machine was created that could spin several threads simultaneously. This “Spinning Jenny”, invented in 1764 by James Hargreaves, was followed in 1779 by a greatly improved loom: ‘Mule Jenny’. At first they were water-powered, but after 1780 the steam engine had been strongly improved so that it could also be used in the factories could be used as a power source. Now much more textiles could be produced. This was necessary because in 1750, Europe had 130 million inhabitants, but in 1850 this number had doubled, partly because of the agricultural revolution. (This went along with the industrial revolution; fertilizers were imported, drainage systems were designed and ox was replaced by the horse. By far the most important element of the agricultural revolution was the change from subsistence to production for the market.). All those people needed clothing. Thanks to the machine faster and cheaper production was possible and labor remained cheap. The textile industry has been one of the driving forces of the industrial revolution.

Belgium becames the first industrialized country in continental Europe. Belgium was “in a state of industrial revolution” under the rule of Napoleon Bonaparte. The industrial centers were Ghent (cotton and flax industries), Verviers (mechanized wool production), Liège (iron, coal, zinc, machinery and glass), Mons and Charleroi. On the mainland, France and Prussia followed somewhat later. In America the northeastern states of the United States followed quickly.

After 1870 Japan was industrialized as the first non-Western country. The rest of Europe followed only around 1880.

The beginning of the end of this revolution was in 1845 when Friedrich Engels, son of a German textile baron, described the living conditions of the English working class in “The condition of the working class in England“.

2.3 THE SECOND INDUSTRIAL REVOLUTION

The second industrial revolution started around 1870 and ended around 1930. It was characterized by ongoing mechanization because of the introduction of the assembly line, the replacement of iron by steel and the development of the chemical industry. Furthermore coal and water were replaced by oil and electricity and the internal combustion engine was developed. Whereas the first industrial revolution was started through (chance) inventions by amateurs, companies invested a lot of money in professional research during the second revolution, looking for new products and production methods. In search of finances small companies merged into large scale enterprises which were headed by professional managers and shares were put on the market. These developments caused the transition from the traditional family business to Limited Liability companies and multinationals.

The United States (U.S.) and Germany led the way in the Second Industrial Revolution. In the U.S. there were early experiments with the assembly line system, especially in the automotive industry. In addition, the country was a leader in the production of steel and oil. In Germany the electricity industry and the chemical industry flourished. The firms AEG and Siemens were electricity giants. German chemical companies such as AGFA and BASF had a leading share in the production of synthetic dyes, photographic and plastic products (around 1900 they controlled some 90% of the worldwide market). In the wake of these two industrial powers (which soon surpassed Britain) France, Japan and Russia followed. After the Second Industrial Revolution more and more countries, on more continents, experienced a more or less modest industrial development. In some cases, the industrialization was taken in hand by the state, often with coarse coercion – such as the five-year plans in the Soviet Union.

After the roaring twenties the revolution ended with the stock exchange crash of 1929. The consequences were disastrous culminating in the Second World War.

2.4 THE THIRD INDUSTRIAL REVOLUTION

The third industrial revolution started around 1940 and is nearing its end. The United States and Japan played a leading role in the development of computers. During the Second World War great efforts were made to apply computer technology to military purposes. After the war the American space program increased the number of applications. Japan specialized in the use of computers for industrial purposes such as the robot.

From 1970 the third industrial revolution continued to Europe. The third industrial revolution was mainly a result of a massive development of microelectronics: electronic calculators, digital watches and counters, the compact disc, the barcode etc. The take off phase of the third industrial revolution started around 1980 with the advent of the microprocessor. The development of the microprocessor is also the basis of the evolution and breakthrough of computing. This had an impact in many areas: for calculation, word processing, drawing and graphic design, regulating and controlling machines, simulating processes, capturing and processing information, monetary transactions and telecommunications. The communication phase grows enormously at the beginning of the new millennium: the digital revolution. According to many analysts now a new era has emerged: that of the information or service economy. Here the acquisition and channeling of information has become more important than pure production. By now computer and communication technology take up an irreplaceable role in all parts of the world. More countries depend on the service sector and less on agriculture and industry.

2.5 EFFECTS OF THREE INDUSTRIAL REVOLUTIONS

The first (and second revolution) transformed an agricultural society into an industrial society where mechanization (finally) relieved man of physical labor. The craft industry could not compete with the factories that put products of the same or even better quality on the market at a lower price. The result was that many small businesses went bankrupt and the former workers went to work in the factories. The effects of industrialization were seen in the process of rapid urbanization of formerly relatively small villages and towns where the new plants came. These turned into dirty and unhealthy industrial cities. Still people from the country were forced to go and work there. Because of this a new social class emerged: the workers, or the industrial proletariat. They lived in overcrowded slums in poor housing with little sanitation. The average life expectancy was low, and infant mortality high. The elite accepted the filth of the factories as the inevitable price for their success. The chimneys were symbols of economic power, but also of social inequality. You see this social inequality appear after each revolution. The gap between the bottom and the top of society becomes very large. Eventually there are inevitable responses that decrease this gap. It could be argued that the Industrial revolutions have created the conditions for a society with little or no poverty.

The third revolution transformed an industrial society into a service society. Where mechanization man relieved of physical labor, the computer relieved him of mental labor. This revolution made lower positions in industry more and more obsolete and caused the emergence of entirely new roles in the service sector.

3 INDUSTRIAL REVOLUTIONS AND STOCK MARKET INDICES

The Dow Jones Industrial Average was first published halfway through the second Industrial Revolution, in 1896. The Dow Jones Industrial Average Index is the oldest stock index in the United States. This was a straight average of the rates of twelve shares. A select group of journalists from The Wall Street Journal decide which companies are part of the most influential index in the world market. Unlike most other indices the Dow is a price-weighted index. This means that stocks with high absolute share price have a significant impact on the movement of the index.

Figure 2. Exchange rates of Dow Jones Industrial Average during the latest two industrial revolutions. During the last few years the rate increases have accelerated enormously.

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The S & P Index is a market capitalization weighted index. The 500 largest U.S. companies as measured by their market capitalization are included in this index, which is compiled by the credit rating agency Standard & Poor’s.

Figure 3. Third industrial revolution and the S&P 500

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3.1 WHAT DOES A STOCK EXCHANGE INDEX LIKE DOW JONES OR S&P 500 REALLY MEAN?

In many graphs the y-axis is a fixed unit, such as kg, meter, liter or euro. In the graphs showing the stock exchange values, this also seems to be the case because the unit shows a number of points. However, this is far from true! An index point is not a fixed unit in time and does not have any historical significance. Unfortunately many people attach a lot of value to these graphs which are, however, very deceptive.

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. For a new period the value is based on a different set of shares. It is very strange that these different sets of shares are represented as the same unit.

After a period of 25 years the value of the original set of apples is compared to the value of a set of pears. At the moment only 6 of the original 30 companies that made up the set of shares of the Dow Jones at the start of the take-off phase of the last revolution are still present.

Even more disturbing is the fact that with every change in the set of shares used to calculate the number of points, the formula 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 index graphs must be continuous lines. For example, the Dow Jones is calculated by adding the shares and dividing the result by a number. Because of changes in the set of shares and the splitting of shares the divider changes continuously. At the moment the divider is 0.132319125 but in 1985 this number was higher than 1. An index point in two periods of time is therefore calculated in different ways:

Dow1985 = (x1 + x2 + ……..+x30) / 1

Dow2012 = (x1 + x2 + …….. + x30) / 0,132319125

In the nineties of the last century many shares were split. To make sure the result of the calculation remained the same both the number of shares and the divider changed. An increase in share value of 1 dollar of the set of shares in 2012 results is 7.5 times more points than in 1985. The fact that in the 1990-ies many shares were split is probably the cause of the exponential growth of the Dow Jones index. At the moment the Dow is at 13207 points. If we used the 1985 formula it would be at 1760 points.

The most remarkable characteristic is of course the constantly changing set of shares in during the take-off and acceleration phase of a revolution. 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. From 1980 onward 7 ICT companies (3M, AT&T, Cisco, HP, IBM, Intel, Microsoft), the engines of the latest revolution were added to the Dow Jones and 5 financial institutions, which always play an important role in every revolution.

This is actually 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, however, there will be fewer companies in those phases.

Figure 4. The two most recent revolutions and the Dow. The stock value increase has accelerated enourmously during the acceleration phase of a revolution.

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3.2 STOCK MARKET BOOMS

The Dow was first published in 1896. The Dow was calculated by dividing the sum of the 12 component company stocks by 12:

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

In 1916 the Dow was enlarged to 20 companies; 4 were removed and 12 added:

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

The shares of a number of companies were split in 1927, and for those shares a weighting factor was introduced in the calculation. The formula is now as follows (x1 = American Can is multiplied by 6, x2 = General Electric by 4 etc. )

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

On 1 October 1928 the Dow was further enlarged to 30 stocks. Because everything had to be calculated by hand, the index calculation was simplified. The Dow Divisor was introduced. The index was calculated by dividing the sum of the share values by the Dow Divisor. In order to give the index an uninterrupted graph the Dow Divisor was given the value 16.67.

Dow-index_Oct_1928 = (x1 + x2+ ……….+x30) /Dow Divisor

Dow-index_Oct_1928 = (x1 + x2+ ……….+x30) /16.67

Since then the Dow Divisor has acquired a new value every time there has been a change in the component stocks, with a consequent change in the formula used to calculate the index. This is because at the moment of change the results of two formulas based on two different share baskets must give the same result. When stocks are split the Dow Divisor is changed for the same reason.

In autumn 1928 and spring 1929 there were 8 stock splits, causing the Dow Divisor to drop to 10.47.

Dow-index_Sep_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 an extreme decrease of the Dow in the period 1920 – 1932 was primarily caused by changes to the formula, the constant changes to the set of shares during the acceleration phase of the second industrial revolution and splitting of shares during this period. Because of these changes in the Dow investors were wrong footed. The companies whose shares constituted the Dow index at that time also continued into the stabilization and degeneration phase.

After the stock market crash of 1929, 18 companies were replaced in the Dow and the Dow Divisor got the value 15.1.

Table 1. Changes in the Dow, stock splits and the value of the Dow Divisor after the market crash of 1929

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The table makes it clear that the Dow Jones formula has been changed many times and that the Dow Divisor in the period 1980-2000 (take off phase and acceleration phase of the third revolution ) and has actually become a Dow Multiplier, due to the large number of stock splits in that period. Where in the past the sum of the share values was divided by the number of shares, nowadays the sum of the share values multiplied by 7.5. Dividing by 0.132 is after all the same as multiplying by 7.5. (1 / 0,132 = 7,5). This partly explains the behaviour of the Dow graph since 1980.

3.3 SHARE PRICE / INCOME RATIO DURING AN INDUSTRIAL REVOLUTION

During the pre-development phase and the take-off phase of a revolution many new companies spring into existence. During the acceleration phase of a revolution it will be clear that many of these companies also enter the acceleration phase of their existence (Figure 5).

Figure 5. Typical course of market development: Introduction, Growth, Flourishing and Decline.

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The expected value of the shares of these companies which are in the acceleration phase of their existence increases enormously. This is the reason why shares in the acceleration phase of a revolution become very expensive.

The share price / income ratio of shares increased enormously between 1920 – 1930 (the acceleration phase of the second revolution) and between 1990 – 2000 (the acceleration phase of the third revolution). In acceleration phase of a revolution there will always be a stock market boom (Figure 6).

Figure 6. Two industrial revolutions: share price /income ratio

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Share price /income ratio during a stabilization phase of a industrial revolution will decrease; The companies whose shares constituted the Dow also continued into the stabilization and degeneration phase (Figure 6).

4 WILL HISTORY REPEAT ITSELF?

Calculating share indexes as described above and showing indexes in historical graphs is a useful way to show which phase the industrial revolution is in. Especially financial institutions play an important role during an industrial revolution. The graphs showing the wages paid in the financial sector therefore shows the same S curve as both revolutions.

Figure 7. Historical excess wage in the financial sector

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The third industrial revolution is clearly in the saturation and degeneration phase. This phase can be recognized by the saturation of the market and the increasing competition. Only the strongest companies can withstand the competition or take over their competitors (like for example the take-overs by Oracle and Microsoft in the past few years). The information technology world has not seen any significant technical changes recently, despite what the American marketing machine wants us to believe.

Investors get euphoric when hearing about mergers and take overs. Actually, these mergers and take overs are indications of the converging processes at the end of a transition. When looked at objectively each merger or take over is a loss of economic activity. This becomes painfully clear when we have a look at the unemployment rates of some countries.

New industrial revolutions come about because of new ideas, inventions and discoveries, so new knowledge and insight. Here too we have reached a point of saturation. There will be fewer companies in the take-off or acceleration phase to replace the companies in the index shares sets that have reached the stabilization or degeneration phase.

Humanity is being confronted with the same problems as those at the end of the second industrial revolution such as decreasing stock exchange rates, highly increasing unemployment, towering debts of companies and governments and bad financial positions of banks.

Figure 8. Two most recent revolutions: US market debt

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Transitions are initiated by inventions and discoveries, new knowledge of mankind. New knowledge influences the other four components in a society. At the moment there are few new inventions or discoveries. So the chance of a new industrial revolution is not very high.

History has shown that five pillars are indispensable for a stable society.

Figure 9. The five pillars for a stable society: Food, Security, Health, Prosperity, Knowledge.

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At the end of every transition the pillar Prosperity is threatened. We have seen this effect after every industrial revolution. The pillar Prosperity of a society is about to fall again. History has shown that the fall of the pillar Prosperity always results in a revolution. Because of the high level of unemployment after the second industrial revolution many societies initiated a new transition, the creation of a war economy. This type of economy flourished especially in the period 1940 – 1945.

Now, societies will have to make a choice for a new transition to be started.

Without knowledge of the past there is no future.

The DJIA Stock Market Index Is A Hoax

Guest Post by Wim Grommen

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 hoax.

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 :

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.

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.

How the Dow Divisor Contributed to the Crash of ‘29

From the above analyses/explanation it is evident that the dramatic “adjustments” to the Dow Divisor (coupled with the addition/deletion of constituent companies according to which transition phase they were in) were major contributors to the dramatic increase in the Dow from 1920 until October 1929 and the following dramatic decrease in the Dow 30 from then until 1932 notwithstanding the economic conditions of the time as well.

Dow Jones Industrial Index is a Hoax

In many graphs the y-axis is a fixed unit, such as kg, meter, liter or euro. In the graphs showing the stock exchange values, this also seems to be the case because the unit shows a number of points. However, this is far from true! An index point is not a fixed unit in time and does not have any historical significance. An index is calculated on the basis of a set of shares. Every index has its own formula and the formula gives the number of points of the index. Unfortunately many people attach a lot of value to these graphs which are, however, very deceptive.

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. For a new period the value is based on a different set of shares. It is very strange that these different sets of shares are represented as the same unit. In less than ten years twelve of the thirty companies (i.e. 40%) in the Dow Jones were replaced. Over a period of sixteen years, twenty companies were replaced, a figure of 67%. This meant that over a very short period we were left comparing a basket of today’s apples with a basket of yesterday’s pears.

Even more disturbing is the fact that with every change in the set of shares used to calculate the number of points, the formula 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 index graphs must be continuous lines. For example, the Dow Jones is calculated by adding the shares and dividing the result by a number. Because of changes in the set of shares and the splitting of shares the divider changes continuously. At the moment the divider is 0.15571590501117 but in 1985 this number was higher than 1. An index point in two periods of time is therefore calculated in different ways:

Dow1985 = (x1 + x2 +..+x30) / 1

Dow2014 = (x1 + x2 +.. + x30) / 0.15571590501117

In the 1990s many shares were split. To make sure the result of the calculation remained the same both the number of shares and the divider changed. An increase in share value of 1 dollar of the set of shares in 2014 results is 6.4 times more points than in 1985. The fact that in the 1990s many shares were split is probably the cause of the exponential growth of the Dow Jones index. At the moment the Dow is at 16,437 points. If we used the 1985 formula it would be at 2,559 points.

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. From 1980 onward 7 ICT companies (3M, AT&T, Cisco, HP, IBM, Intel, Microsoft), the engines of the latest revolution and 5 financial institutions, which always play an important role in every transition, were added to the Dow Jones.

Dow Jones Industrial Average

Figure 2 Exchange rates of Dow Jones during the latest two industrial revolutions. During the last few years the rate increases have accelerated enormously.

Overview from 1997 : 20 winners in – 20 losers out, a figure of 67%

September 23, 2013: Hewlett – Packard Co., Bank of America Inc. and Alcoa Inc. will replaced by Goldman Sachs Group Inc., Nike Inc. and Visa Inc.
Alcoa has dropped from $40 in 2007 to $8.08. Hewlett- Packard Co. has dropped from $50 in 2010 to $22.36.

Bank of America has dropped from $50 in 2007 to $14.48.
But Goldman Sachs Group Inc., Nike Inc. and Visa Inc. have risen 25%, 27% and 18% respectively in 2013.

September 20, 2012: UnitedHealth Group Inc. (UNH) replaces Kraft Foods Inc.
Kraft Foods Inc. was split into two companies and was therefore deemed less representative so no longer suitable for the Dow. The share value of UnitedHealth Group Inc. had risen for two years before inclusion in the Dow by 53%.

June 8, 2009: Cisco and Travelers replaced Citigroup and General Motors.
 Citigroup and General Motors have received billions of dollars of U.S. government money to survive and were not representative of the Do.

September 22, 2008: Kraft Foods Inc. replaced American International Group. 
American International Group was replaced after the decision of the government to take a 79.9% stake in the insurance giant. AIG was narrowly saved from destruction by an emergency loan from the Fed.

February 19, 2008: Bank of America Corp. and Chevron Corp. replaced Altria Group Inc. and Honeywell International.
Altria was split into two companies and was deemed no longer suitable for the Dow.
 Honeywell was removed from the Dow because the role of industrial companies in the U.S. stock market in the recent years had declined and Honeywell had the smallest sales and profits among the participants in the Dow.

April 8, 2004: Verizon Communications Inc., American International Group Inc. and Pfizer Inc. replace AT & T Corp., Eastman Kodak Co. and International Paper.
AIG shares had increased over 387% in the previous decade and Pfizer had an increase of more than 675& behind it. Shares of AT & T and Kodak, on the other hand, had decreases of more than 40% in the past decade and were therefore removed from the Dow.

November 1, 1999: Microsoft Corporation, Intel Corporation, SBC Communications and Home Depot Incorporated replaced Chevron Corporation, Goodyear Tire & Rubber Company, Union Carbide Corporation and Sears Roebuck.

March 17, 1997: Travelers Group, Hewlett-Packard Company, Johnson & Johnson and Wal-Mart Stores Incorporated replaced Westinghouse Electric Corporation, Texaco Incorporated, Bethlehem Steel Corporation and Woolworth Corporation.

Real truth and fictional truth

Is the number of points that the Dow Jones now gives us a truth or a fictional truth? 
If a fictional truth then the number of points now says absolutely nothing about the state that the economy or society is in when compared to the past. In that case a better guide would be to look at the number of people in society that use food stamps today – That is the real truth

Wim Grommen is a guest contributor to http://www.FinancialArticleSummariesToday.com, “A site/sight for sore eyes and inquisitive minds”, and www.munKNEE.com, “It’s all about MONEY” of which Lorimer Wilson is editor.