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Fourier Analysis of AEN


AEN appears to have interesting cyclic behaviour every 11 weeks (.6366*sine), 10 weeks (.5363*sine), and 12 weeks (.5083*sine).

AEN has an average price of 10.01 (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 9/19/2014 to 12/5/2016 for AEN, this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
010.0139   0 
13.49595 5.31007 (1*2π)/117117 weeks
2.25746 2.03113 (2*2π)/11759 weeks
3.78556 1.30678 (3*2π)/11739 weeks
4.60984 1.01323 (4*2π)/11729 weeks
5.76051 .55824 (5*2π)/11723 weeks
6.74403 .86385 (6*2π)/11720 weeks
7.26178 1.13299 (7*2π)/11717 weeks
8.21688 .60285 (8*2π)/11715 weeks
9.11793 .55233 (9*2π)/11713 weeks
10.42125 .5083 (10*2π)/11712 weeks
11.36121 .63665 (11*2π)/11711 weeks
12.0958 .53626 (12*2π)/11710 weeks
13.15768 .37538 (13*2π)/1179 weeks
14.42534 .30762 (14*2π)/1178 weeks
15.34836 .44854 (15*2π)/1178 weeks
16.42061 .44037 (16*2π)/1177 weeks
17.16315 .46811 (17*2π)/1177 weeks
18.15164 .11977 (18*2π)/1177 weeks
19.35426 .21676 (19*2π)/1176 weeks
20.2495 .39199 (20*2π)/1176 weeks
21.11089 .26112 (21*2π)/1176 weeks
22.22716 .24702 (22*2π)/1175 weeks
23.16002 .28702 (23*2π)/1175 weeks
24.14078 .27657 (24*2π)/1175 weeks
25.0848 .22634 (25*2π)/1175 weeks
26.12474 .2149 (26*2π)/1175 weeks
27.14865 .1249 (27*2π)/1174 weeks
28.22223 .2113 (28*2π)/1174 weeks
29.13488 .13648 (29*2π)/1174 weeks
30.22249 .09761 (30*2π)/1174 weeks
31.20137 .1245 (31*2π)/1174 weeks
32.12511 .15468 (32*2π)/1174 weeks
33.09779 .04642 (33*2π)/1174 weeks
34.18811 .03076 (34*2π)/1173 weeks
35.21972 .11637 (35*2π)/1173 weeks
36.10919 .14621 (36*2π)/1173 weeks
37.1208 .0667 (37*2π)/1173 weeks
38.1491 .04549 (38*2π)/1173 weeks
39.18984 .10505 (39*2π)/1173 weeks
40.16556 .15005 (40*2π)/1173 weeks
41.13179 .10856 (41*2π)/1173 weeks
42.15259 .03459 (42*2π)/1173 weeks
43.23622 .10229 (43*2π)/1173 weeks
44.2291 .12192 (44*2π)/1173 weeks
45.13857 .12198 (45*2π)/1173 weeks
46.09753 .06698 (46*2π)/1173 weeks
47.1408 .05326 (47*2π)/1172 weeks
48.19929 .08146 (48*2π)/1172 weeks
49.04603 .12837 (49*2π)/1172 weeks
50.09984 -.00434 (50*2π)/1172 weeks
51.17811 .04858 (51*2π)/1172 weeks
52.12658 .09357 (52*2π)/1172 weeks
53.07328 .10206 (53*2π)/1172 weeks
54.0264 .10767 (54*2π)/1172 weeks
55.04803 -.01266 (55*2π)/1172 weeks
56.0926 .06088 (56*2π)/1172 weeks
57.08225 -.0046 (57*2π)/1172 weeks
58.11134 .00075 (58*2π)/1172 weeks
59.11134 -.00075 (59*2π)/1172 weeks
60.08225 .0046 (60*2π)/1172 weeks
61.0926 -.06088 (61*2π)/1172 weeks
62.04803 .01266 (62*2π)/1172 weeks
63.0264 -.10767 (63*2π)/1172 weeks
64.07328 -.10206 (64*2π)/1172 weeks
65.12658 -.09357 (65*2π)/1172 weeks
66.17811 -.04858 (66*2π)/1172 weeks
67.09984 .00434 (67*2π)/1172 weeks
68.04603 -.12837 (68*2π)/1172 weeks
69.19929 -.08146 (69*2π)/1172 weeks
70.1408 -.05326 (70*2π)/1172 weeks
71.09753 -.06698 (71*2π)/1172 weeks
72.13857 -.12198 (72*2π)/1172 weeks
73.2291 -.12192 (73*2π)/1172 weeks
74.23622 -.10229 (74*2π)/1172 weeks
75.15259 -.03459 (75*2π)/1172 weeks
76.13179 -.10856 (76*2π)/1172 weeks
77.16556 -.15005 (77*2π)/1172 weeks
78.18984 -.10505 (78*2π)/1172 weeks
79.1491 -.04549 (79*2π)/1171 weeks
80.1208 -.0667 (80*2π)/1171 weeks
81.10919 -.14621 (81*2π)/1171 weeks
82.21972 -.11637 (82*2π)/1171 weeks
83.18811 -.03076 (83*2π)/1171 weeks
84.09779 -.04642 (84*2π)/1171 weeks
85.12511 -.15468 (85*2π)/1171 weeks
86.20137 -.1245 (86*2π)/1171 weeks
87.22249 -.09761 (87*2π)/1171 weeks
88.13488 -.13648 (88*2π)/1171 weeks
89.22223 -.2113 (89*2π)/1171 weeks
90.14865 -.1249 (90*2π)/1171 weeks
91.12474 -.2149 (91*2π)/1171 weeks
92.0848 -.22634 (92*2π)/1171 weeks
93.14078 -.27657 (93*2π)/1171 weeks
94.16002 -.28702 (94*2π)/1171 weeks
95.22716 -.24702 (95*2π)/1171 weeks
96.11089 -.26112 (96*2π)/1171 weeks
97.2495 -.39199 (97*2π)/1171 weeks
98.35426 -.21676 (98*2π)/1171 weeks
99.15164 -.11977 (99*2π)/1171 weeks
100.16315 -.46811 (100*2π)/1171 weeks
101.42061 -.44037 (101*2π)/1171 weeks
102.34836 -.44854 (102*2π)/1171 weeks
103.42534 -.30762 (103*2π)/1171 weeks
104.15768 -.37538 (104*2π)/1171 weeks
105.0958 -.53626 (105*2π)/1171 weeks
106.36121 -.63665 (106*2π)/1171 weeks
107.42125 -.5083 (107*2π)/1171 weeks
108.11793 -.55233 (108*2π)/1171 weeks
109.21688 -.60285 (109*2π)/1171 weeks
110.26178 -1.13299 (110*2π)/1171 weeks
111.74403 -.86385 (111*2π)/1171 weeks
112.76051 -.55824 (112*2π)/1171 weeks
113.60984 -1.01323 (113*2π)/1171 weeks
114.78556 -1.30678 (114*2π)/1171 weeks
115.25746 -2.03113 (115*2π)/1171 weeks

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