I have just copied and pasted this from the following link but I highly recommend to read it, since it's a very useful cycle model as you will find out. All big highs and lows of markets are caught very accurately by the model.
http://www.contrahour.com/contrahour/2006/06/martin_armstron.html
The Business Cycle And the Future
By Martin A. Armstrong
Princeton Economic Institute
© Copyright September 26, 1999
For many years, I have pursued a field of study that is at best non-traditional. My discovery of a global business cycle during the early 1970's was by no means intentional. As a youth growing up in the 1960's, the atmosphere was anything but stable. I don’t really know if it was Hollywood that captivated my interest in history with an endless series of movies about Roman and Greek history, but whatever it was that drove me, I can only attest to what resulted.
My father had always wanted to return to Europe after serving under General Patton during the war. My mother insisted that she would go only when he could afford to take the whole family. That day finally came and something inside me insisted upon being able to earn my own spending money. I applied for a job despite my age of only 14. It wasn’t much, but on weekends I worked with a coin/bullion dealer. In those days, gold was illegal to buy or sell in bullion form so the industry centered on gold coins issued by Mexico, Hungary and Austria. I soon became familiar with the financial markets as they were starting to emerge. It was this experience that began to conflict with the formal training of school.
One day in a history class, the teacher brought in an old black and white film entitled "Toast of the Town." This film was about Jim Fisk and his attempt to corner the gold market in 1869 that created a major financial panic in which the term "Black Friday" was first coined. In the film was a very young support actor named Cary Grant who stood by the ticker tape machine reading off the latest gold prices. He read the tape and exclaimed that gold had just reached $162 an ounce. I knew from my job that gold was currently selling for $35. At first I thought that the price quote of $162 in the movie must be wrong. After all, Hollywood wasn’t known for truthfulness. Nonetheless, I was compelled to go to the library to check the newspapers of 1869 for myself. This first step in research left me stunned – the New York Times verified $162 was correct.
For the first time in my life, I was faced with a paradox that seemed to conflict with traditional concepts. How could gold be $162 in 1869 and yet be worth only $35 in the 1960's? Surely, inflation was supposed to be linear. If a dollar was a lot of money in 1869, this meant that adjusted for inflation gold must have been the equivalent of several thousand dollars. If value was not linear, then was anything linear?
I began exploring the field of economics on my own and reading the various debates over the existence of a business cycle. Kondratieff was interesting for his vision of great waves of economic activity. Of course, others argued that such oscillations were purely random. Over the years that followed, this nagging question still bothered me. I had poured my heart and soul into history, quickly learning that all civilizations rose and fell and there seemed to be no exception.
I was still not yet convinced that a business cycle was actually definable. Kondratieff’s work was indeed interesting, but there was not enough data to say that it was in fact correct. On the other hand, it seemed that the random theory crowd was somehow threatened by the notion that the business cycle might be definable. After all, if the business cycle could be defined, then perhaps man’s intervention would not be successful. Clearly, there was a large degree of self-interest in discouraging any attempt to define the business cycle. I knew from my study of history that a non-professional German industrialist took Homer and set out to disprove the academics who argued that Homer was merely a story for children. In the end, that untrained believer in Homer discovered Troy and just about every other famous Greek city that was not supposed to have existed beyond fable.
I didn’t know how to go about such a quest to find if the business cycle was definable. Admittedly, I began with the very basic naive approach of simply adding up all the financial panics between 1683 and 1907 and dividing 224 years by the number of panics being 26 yielding 8.6 years. Well, this didn’t seem to be very valid at first, but it did allow for a greater amount of data to be tested compared to merely 3 waves described by Kondratieff.
The more I began to back test this 8.6-year average, the more accurate it seemed to be. I spent countless hours in libraries reading contemporary accounts of events around these dates. It soon became clear that there were issues of intensity and shifts in public confidence. During some periods, society seemed to distrust government and after a good boom bust cycle, sentiment shifted as people ran into the arms of government for solutions. Politics seemed to ebb and flow in harmony with the business cycle. Destroy an economy and someone like Hitler can rise to power very easily. If everyone is fat and happy, they will elect to ignore drastic change preferring not to rock the boat.
The issue of intensity seemed to revolve around periods of 51.6 years, which was in reality a group of 6 individual business cycles of 8.6 years in length. Back testing into ancient history seemed to reveal that the business cycle concept was alive and well during the Greek Empire as well as Rome and all others that followed. It was a natural step to see if one could project into the future and determine if its validity would still hold up. Using 1929.75 as a reference point, major and minor turning points could then be projected forward in time. For the most part, I merely observed and kept to myself this strange way of thinking. In 1976, one of these 8.6-year turning points was quickly approaching (1977.05). For the first time, I began to use this model expecting a significant turn in the economy back toward inflation. My friends thought I was mad. Everyone was talking about how another Great Depression was coming. The stock market had crashed by 50% and OPEC seemed to be undermining everything. I rolled the dice and stuck to it and to my amazement, inflation exploded right on cue as gold rallied from $103 to $875 by January 1980.
As my confidence in this model increased, I began to expand my research testing it against everything I could find. It became clear, that turning points were definable, but the wildcard would always remain as a combination of volatility and intensity. To solve that problem, much more sophisticated modeling became necessary.
As the 51.6-year turning point approached (1981.35), there was no doubt in my mind that the intensity would be monumental. Indeed, interest rates went crazy with prime reaching 22% and the discount rate being pushed up to 17%. The government was attacking inflation so hard, they moved into overkill causing a massive recession into the next half-cycle date of 1985.65. It was at this point in time that the Plaza Accord gave birth of the G5. I tried to warn the US government that manipulating the currency would set in motion a progressive trend toward higher volatility within the capital markets and the global business cycle as a whole. They ignored me and claimed that until someone else had such a model, they did not believe that volatility would be a concern.
The next quarter cycle turning point was arriving 1987.8 and the Crash of 1987 unfolded right on cue. It was at this time that a truly amazing development took place. The target date of 1987.8 was precisely October 19th, 1987 the day of the low. While individual models specifically based upon the stock market were successful in pinpointing the high and low days, I did not think for one moment that a business cycle that was derived from an average could pinpoint a precise day; it simply did not seem logical.
After 1987, I began to explore the possibility that coincidence should not be just assumed. I began researching this model even more with the possibility that precision, no matter how illogical, might possibly exist. I began viewing this business cycle not from a mere economic perspective, but from physics and math. If this business cycle were indeed real, then perhaps other fields of science would hold a clue to this mystery. Physics helped me understand the mechanism that would drive the business cycle but mathematics would perhaps answer the quantitative mystery. I soon began to understand that the circle is a perfect order. Clearly, major historical events that took place in conjunction with this model involved the forces of nature as well. If this business cycle was significant, surely it must encompass something more than the mere economic footprints of mankind throughout the ages.
The Mystery of 8.6
At first, 8.6 seemed to be a rather odd number that just didn’t fit mathematically. In trying to test the validity of October 19th, 1987 being precise or coincidence, I stumbled upon something I never expected. This is the first time I will reveal something that I discovered and kept secret for the last 13 years. The total number of days within an 8.6-year business cycle was 3141. In reality, the 8.6-year cycle was equal to p (Pi) * 1000. Suddenly, there was clearly more at work than mere coincidence. Through extending my studies into physics, it became obvious that randomness was not a possibility. The number of variables involved in projecting the future course of the business cycle was massive, but not completely impossible given sufficient computer power and a truly comprehensive database. The relationship of 8.6 to p (Pi) confirmed that indeed the business cycle was in fact a perfect natural cyclical phenomenon that warranted further investigation. Indeed, the precision to a day appeared numerous times around the world in different markets. Both the 1994.25 and the 1998.55 turning points also produced clear events precisely to the day. The probability of coincidence of so many targets being that precise to the day was well into the billions. Indeed, the relationship of p to the business cycle demonstrated the existence of a perfect cycle that returned to its point of origin where once again it would start anew. The complexity that arose was that while the cycle could be measured and predicted, precisely which sector of the global economy would become the focal point emerged as the new research challenge.
It was also clear that the driving forces behind the business cycle had shifted and intensified due to the introduction of the floating exchange rate system back in 1971. My study into intensity and volatility revealed that whenever the value of money became uncertain, inflation would rise dramatically as money ceased to be a store of wealth. Numerous periods of debasements and floating exchange rate systems had taken place throughout recorded history. The data available from Rome itself was a spectacular resource for determining hard rules as to how capital responded to standard economic events of debasement and inflation. The concept of Adam Smith’s Invisible Hand was valid, but even on a much grander scale involving capital flow movement between competing economies. The overall intensity of the cycle was decisively enhanced creating greater waves as measured by amplitude by the floating exchange system. As currency values began to swing by 40% in 4-year intervals, the cycle intensified even further causing currency swings of 40% within 2-year intervals and finally down to a matter of months following the July 20th, 1998 turning point.
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