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Fourier Analysis of DTV (DIRECTV)

DTV (DIRECTV) appears to have interesting cyclic behaviour every 2 weeks (.3129*sine), 2 weeks (.2773*cosine), and 2 weeks (.2773*cosine).

DTV (DIRECTV) has an average price of 51.36 (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 10/21/2016 to 3/13/2017 for DTV (DIRECTV), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
051.35921   0 
1-.35456 -.742 (1*2π)/2222 weeks
2.07977 -1.11654 (2*2π)/2211 weeks
3-.07241 -.08261 (3*2π)/227 weeks
4-.51534 .24512 (4*2π)/226 weeks
5-.16694 .10471 (5*2π)/224 weeks
6-.07648 -.05115 (6*2π)/224 weeks
7-.15314 -.35989 (7*2π)/223 weeks
8-.21562 -.31291 (8*2π)/223 weeks
9-.20202 .09447 (9*2π)/222 weeks
10-.27734 -.2688 (10*2π)/222 weeks
11.18053   (11*2π)/222 weeks
12-.27734 .2688 (12*2π)/222 weeks
13-.20202 -.09447 (13*2π)/222 weeks
14-.21562 .31291 (14*2π)/222 weeks
15-.15314 .35989 (15*2π)/221 weeks
16-.07648 .05115 (16*2π)/221 weeks
17-.16694 -.10471 (17*2π)/221 weeks
18-.51534 -.24512 (18*2π)/221 weeks
19-.07241 .08261 (19*2π)/221 weeks
20.07977 1.11654 (20*2π)/221 weeks

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