12/28/05

The Fibonacci number

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The Fibonacci number is one of the few things I did not learn while at Pui-Ching, nor from reading Kum Yung's novels. I heard about this number for the first time from our classmate Peter Chang Hon (C34) a few months ago, in discussion of his stock analysis methodology. I did not know what that number was at the time, and I went to web to find out. The second time I encountered the name was from reading a mystery novel entitled " The Da Vinci Code" by Dan Brown.

So what is "The Fibonacci number" ? and what does it have to do with investment, and also one of the codes in a murder story in the most famous museum in the world ?

It turns out that Fibonacci was a mathematician in the 1200s, who quite conceivably invented the population Theory in 1202. Most of us know about the number series:

0,1,1, 2, 3, 5, 8, 13, 21, 34, 55...

The next number in the series is just the sum if the two before that, for example,
0+1=1, 1+1=2, 1+2=3, 2+3=5, 3+5=8, 5+8=13 etc....

This is the so-called " Fibonacci series" which calculates the population of rabbits in future generations from one pair of parents. If one takes the ratio of the two consecutive numbers in this series, the ratio would soon approach a constant ratio of 1.618034.
For example, 1/1=1, 2/1=2, 3/2=1.5, 5/3=1.66... 21/13=1.62538, ... It is obvious that the ratio approaches a constant value of 1.618034.

The number of "1.618" is known as the " golden number of the mean, or the golden ratio, or the Divine Proportion ". The Golden Number is arguably the most important number in nature.

We can see this with a few examples as follows; (1) the ratio between the length from the tip of your head to the floor and to that of your belly button to the floor is 1.61, (2) that between the shoulder to the finger tip and the elbow to the finger tip is 1.61, and (3) the ratio of female bees (with only one queen bee) and male bees in any bee hives is 1.61, (4) the pertinent pyramid geometric dimensional ratios, and so on and so forth ( plenty of examples can be found on the web-links) .

This number is a manifestation of compliance to nature. All things must come to this ratio ( 1.61) or the reciprocal (0.62) to be natural . In terms of thermodynamics, it is the equilibrium value, all natural ratios tend to converge to 1.61 or the reciprocal.

So what does it have to with stocks ?

Here is an example given by the Master Chang ;
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Lets say a stock goes form $10.00 (valley, V1) to $20.00 (peak, P1), then reverses itself and dropped to $17.00 (V2). What should be the next peak when it rebounds?
The Fibonacci method states that it can rebound up to 162%. Therefore, P2 could be 1.62(P1-V1)+V2, or $33.20

The Fibonacci method also states that when it drops, typically it will drop by to a low of 62%
V2 = P1-0.62 (P1-V1) = should be $13.8, and not $17.00
This method works sometimes. Not all the time.

End of example.
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The Fibonacci method appears to be applicable for short periods, say a week, a month, but perhaps not for a few years. You should realize I ( the writer of this article) do not invest in individual stocks on a short term basis. My interpretation can be all wet.

The Master has taken three classes for stock analysis. He discusses technical analysis with his #1 disciple A Chai. To know more, you must learn from the Master himself, Peter Chang Hon, and/or the #1 Disciple A Chai . NOT ME.

By the way, I am sure most of not all of us have seen the Mona Lisa housed in the Louvre. I saw it twice , once from afar, once much closer. Both times I did not understand why it was the most celebrated painting in the world. The book "The Da Vinci Code" hinted why Mona Lisa wears that everlasting knowing smile on her face, as if she knows a secret that all of don't; and why Mona Lisa is named Mona Lisa. Next time when you see a knowing smile on the face of a woman or a man, it is not that enigmatic after all. It is all within the reams of the divine proportion.

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