Fibonacci Flim-Flam
http://www.lhup.edu/~dsimanek/pseudo/fibonacc.htm
http://www.cass.city.ac.uk/media/stories/resources/Magic_Numbers_in_the_Dow.pdf
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http://www.lhup.edu/~dsimanek/pseudo/fibonacc.htm
The "golden spiral" is a fascinating curve. But it is just one member of a larger family of curves/spirals collectively known as "logarithmic spirals", and there are still other spirals found in nature, such as the "Archimedian spiral." It's not difficult to find one of these curves that fits a particular pattern found in nature, even if that pattern is only in the eye of the beholder.
But the dirty little secret of all of this is that when such a fit is found, it is seldom exact. The examples from nature that you find in books often have considerable variations from the "golden ideal". Sometimes curves claimed to fit the golden spiral actually are better fit by some other spiral. The fact that a curve "fits" physical data gives no clue to the underlying physical processes that produce such a curve in nature. We must dig deeper to find those processes.
http://www.cass.city.ac.uk/media/stories/resources/Magic_Numbers_in_the_Dow.pdf
Our conclusion must be that there is no significant difference between the frequencies with which price and time ratios occur in cycles in the Dow Jones Industrial Average, and frequencies which we would expect to occur at random in such a time series.
In our introduction, we noted that empirical evidence from academic studies suggests that not all of technical analysis can be dismissed prima facie. The evidence from this paper suggests that the idea that round fractions and Fibonacci ratios occur in the Dow
can be dismissed.
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