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Fourier Analysis of ATHL (ATHLON ENERGY INC.)


ATHL (ATHLON ENERGY INC.) appears to have interesting cyclic behaviour every 6 weeks (1.1164*sine), 5 weeks (1.0624*cosine), and 5 weeks (1.048*cosine).

ATHL (ATHLON ENERGY INC.) has an average price of 39.08 (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 8/2/2013 to 11/10/2014 for ATHL (ATHLON ENERGY INC.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
039.07941   0 
12.36993 -9.7369 (1*2π)/6868 weeks
2.53632 -2.43861 (2*2π)/6834 weeks
3.23919 -3.66231 (3*2π)/6823 weeks
4.03367 -4.5573 (4*2π)/6817 weeks
5-1.35879 -2.40309 (5*2π)/6814 weeks
6-1.42434 -1.80761 (6*2π)/6811 weeks
7-.12188 -1.50509 (7*2π)/6810 weeks
8-.93874 -.761 (8*2π)/689 weeks
9-.21081 -.92404 (9*2π)/688 weeks
10-.88847 -.38546 (10*2π)/687 weeks
11.05951 -.57718 (11*2π)/686 weeks
12.07205 -1.11641 (12*2π)/686 weeks
13-.14938 -.96888 (13*2π)/685 weeks
14-1.06245 -.90211 (14*2π)/685 weeks
15-1.04795 -.56547 (15*2π)/685 weeks
16-.51665 -.77289 (16*2π)/684 weeks
17-.64529 -.42706 (17*2π)/684 weeks
18-.21014 -.26475 (18*2π)/684 weeks
19-.393 -.21018 (19*2π)/684 weeks
20-.16405 -.52541 (20*2π)/683 weeks
21-.27242 -.46664 (21*2π)/683 weeks
22-.24254 -.46587 (22*2π)/683 weeks
23-.38776 -.31662 (23*2π)/683 weeks
24-.29268 -.36761 (24*2π)/683 weeks
25-.79011 -.40381 (25*2π)/683 weeks
26-.61469 .06572 (26*2π)/683 weeks
27-.26996 .31955 (27*2π)/683 weeks
28-.1773 .1494 (28*2π)/682 weeks
29-.46634 -.30482 (29*2π)/682 weeks
30-.50679 -.13129 (30*2π)/682 weeks
31-.2915 -.12782 (31*2π)/682 weeks
32-.32322 -.12658 (32*2π)/682 weeks
33-.65343 .01511 (33*2π)/682 weeks
34-.81882   (34*2π)/682 weeks
35-.65343 -.01511 (35*2π)/682 weeks
36-.32322 .12658 (36*2π)/682 weeks
37-.2915 .12782 (37*2π)/682 weeks
38-.50679 .13129 (38*2π)/682 weeks
39-.46634 .30482 (39*2π)/682 weeks
40-.1773 -.1494 (40*2π)/682 weeks
41-.26996 -.31955 (41*2π)/682 weeks
42-.61469 -.06572 (42*2π)/682 weeks
43-.79011 .40381 (43*2π)/682 weeks
44-.29268 .36761 (44*2π)/682 weeks
45-.38776 .31662 (45*2π)/682 weeks
46-.24254 .46587 (46*2π)/681 weeks
47-.27242 .46664 (47*2π)/681 weeks
48-.16405 .52541 (48*2π)/681 weeks
49-.393 .21018 (49*2π)/681 weeks
50-.21014 .26475 (50*2π)/681 weeks
51-.64529 .42706 (51*2π)/681 weeks
52-.51665 .77289 (52*2π)/681 weeks
53-1.04795 .56547 (53*2π)/681 weeks
54-1.06245 .90211 (54*2π)/681 weeks
55-.14938 .96888 (55*2π)/681 weeks
56.07205 1.11641 (56*2π)/681 weeks
57.05951 .57718 (57*2π)/681 weeks
58-.88847 .38546 (58*2π)/681 weeks
59-.21081 .92404 (59*2π)/681 weeks
60-.93874 .761 (60*2π)/681 weeks
61-.12188 1.50509 (61*2π)/681 weeks
62-1.42434 1.80761 (62*2π)/681 weeks
63-1.35879 2.40309 (63*2π)/681 weeks
64.03367 4.5573 (64*2π)/681 weeks
65.23919 3.66231 (65*2π)/681 weeks
66.53632 2.43861 (66*2π)/681 weeks

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