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The Universal Law of
Expansion and Contraction ...

By: Solomon Thallon

Chances are you have heard of Leonardo de Pisa, if the name doesn't ring a bell you might know him as Fibonacci, the great Italian mathematician. Fibonacci made a study of rabbits, in particular the mathematics of their breeding cycles. You might ask what does Fibonacci's study of rabbits have to do with an article written for the AFSD' website? Well, it's all to do with the ratio of .618

 


For me personally, the subject of this .618 ratio has been most intriguing throughout my life and in particular my trading experience. I have witnessed this ratio in many ways. You too are witnessing it just as I am but if you are not aware of it you will not be able to identify it. Books have been written on it, software programs have been named after it and it keeps turning up on my charts in the form of price support and resistance. This is where you as a trader can help yourself to an amazing and universal phenomenon. Let me explain…

The following charts on Australia's Share Price Index (SPI). Using these charts you will understand how you can find and use the .618 ratio in your trading. On the 11th of August 1999 the SPI made a low at 2905. It then spent 9 days trading up to 3114 where it made a top on the 24th of August 1999. You can see this range on the left hand side of chart A with a trend line running through it. This is a range of 209 points.


CHART A. SPI. 25th November 1999. HotTrader


There are two ranges you can now calculate. The first is a .618 contraction of the 209 pt range…

209 x .618 = 129 pts.

If you subtract 129 pts from the high of 3114 you end up with a price of 2985. You can see in chart A that there was significant trading at this level. (I have placed a horizontal line at 2985).

The second range to calculate is an expansion of the 209 pt range…

209 x 1.618 = 338 pts.

If you subtract 338 pts from the high of 3114 you end up with a price of 2776. You can see in chart A that 2776 is the current major low on the SPI made on the 19th of October, 1999.

Using this formula to project future price levels of support and resistance on any market can be fun and most of all profitable. Whether you are day trading or position trading be sure that you have confirmation of a change in trend before entering a trade and always use a stop loss. You will find that with the confirmations of a change in trend using HotTrader's swing charts you are able to benefit from entering the trade at the earliest possible point of confirmation.



HotTrader's Swing Charts

In closing I would like to add that I am still studying this phenomenon of the .618 ratio and I have an idea that it may be related to some cyclic behavior. Why certain ranges react perfectly at these projections and why some ranges don't react at all is still unclear to me, however I continue to observe and study. If you would like to contact me please do so by my email. My address is: Solomon@gannswings.com or Telephone: (07) 3832 4733

Happy trading,

Solomon Thallon
HotTrader, Australia

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