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Fourier Analysis of AA (Alcoa Inc. Common Stock)

AA (Alcoa Inc. Common Stock) appears to have interesting cyclic behaviour every (-79228162514264337593543950335*cosine), (-79228162514264337593543950335*cosine), and (-79228162514264337593543950335*cosine).

AA (Alcoa Inc. Common Stock) has an average price of 29.03 (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 10/18/2016 to 1/17/2017 for AA (Alcoa Inc. Common Stock), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
029.03458   0 
1-2.01668 -1.42772 (1*2π)/1414 weeks
2-1.20515 -3.15732 (2*2π)/147 weeks
3-1.3568 -2.51583 (3*2π)/145 weeks
4-.94537 -.92466 (4*2π)/144 weeks
5-1.16773 -.77217 (5*2π)/143 weeks
6-.40016 -.2903 (6*2π)/142 weeks
7-2.04979   (7*2π)/142 weeks
8-.40016 .2903 (8*2π)/142 weeks
9-1.16773 .77217 (9*2π)/142 weeks
10-.94537 .92466 (10*2π)/141 weeks
11-1.3568 2.51583 (11*2π)/141 weeks
12-1.20515 3.15732 (12*2π)/141 weeks

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