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Fourier Analysis of IBM (International Business Machines)

IBM (International Business Machines) appears to have interesting cyclic behaviour every 204 weeks (5.2192*sine), 191 weeks (3.3836*sine), and 220 weeks (3.311*sine).

IBM (International Business Machines) has an average price of 42.3 (topmost row, frequency = 0).

Click on the checkboxes shown on the right to see how the various frequencies contribute to the graph. Look for large magnitude coefficients (sine or cosine), as these are associated with frequencies which contribute most to the associated stock plot. If you find a large magnitude coefficient which dramatically changes the graph, look at the associated "Period" in weeks, as you may have found a significant recurring cycle for the stock of interest.

Right click on the graph above to see the menu of operations (download, full screen, etc.)

Fourier Analysis

Using data from 1/2/1962 to 10/10/2016 for IBM (International Business Machines), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod