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Fourier Analysis of AKZOY (Akzo Nobel N.V.)


AKZOY (Akzo Nobel N.V.) appears to have interesting cyclic behaviour every 6 weeks (.397*cosine), 8 weeks (.3726*sine), and 6 weeks (.3129*sine).

AKZOY (Akzo Nobel N.V.) has an average price of 23.75 (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 1/4/2016 to 9/5/2017 for AKZOY (Akzo Nobel N.V.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
023.75229   0 
11.98996 -3.28592 (1*2π)/8484 weeks
2-.96644 -2.25523 (2*2π)/8442 weeks
3-.28694 -.67436 (3*2π)/8428 weeks
4.17755 -1.6767 (4*2π)/8421 weeks
5.22057 -.87004 (5*2π)/8417 weeks
6-.12762 -.29586 (6*2π)/8414 weeks
7.10367 -.30454 (7*2π)/8412 weeks
8-.02443 -.5935 (8*2π)/8411 weeks
9-.11096 -.14095 (9*2π)/849 weeks
10.04727 -.23026 (10*2π)/848 weeks
11-.2803 -.37263 (11*2π)/848 weeks
12-.23976 -.05642 (12*2π)/847 weeks
13.01711 -.24299 (13*2π)/846 weeks
14-.39703 -.31292 (14*2π)/846 weeks
15-.27941 -.19559 (15*2π)/846 weeks
16.0098 -.21391 (16*2π)/845 weeks
17-.14041 -.18858 (17*2π)/845 weeks
18-.18854 -.10615 (18*2π)/845 weeks
19-.15881 -.16234 (19*2π)/844 weeks
20-.19144 -.25749 (20*2π)/844 weeks
21-.10098 -.09789 (21*2π)/844 weeks
22-.03164 -.20951 (22*2π)/844 weeks
23-.17151 -.17126 (23*2π)/844 weeks
24-.22627 .0087 (24*2π)/844 weeks
25-.03642 -.03156 (25*2π)/843 weeks
26-.05759 -.17029 (26*2π)/843 weeks
27-.13144 -.11069 (27*2π)/843 weeks
28-.02612 -.0855 (28*2π)/843 weeks
29-.10685 -.01846 (29*2π)/843 weeks
30-.06869 -.05261 (30*2π)/843 weeks
31-.17608 -.02996 (31*2π)/843 weeks
32-.18436 -.13045 (32*2π)/843 weeks
33-.20569 .0312 (33*2π)/843 weeks
34-.13053 -.03565 (34*2π)/842 weeks
35-.12866 -.10126 (35*2π)/842 weeks
36-.22381 .01481 (36*2π)/842 weeks
37-.19111 -.03561 (37*2π)/842 weeks
38-.07539 -.14458 (38*2π)/842 weeks
39-.19122 -.0094 (39*2π)/842 weeks
40-.12286 .01728 (40*2π)/842 weeks
41-.15533 -.11953 (41*2π)/842 weeks
42-.04379   (42*2π)/842 weeks
43-.15533 .11953 (43*2π)/842 weeks
44-.12286 -.01728 (44*2π)/842 weeks
45-.19122 .0094 (45*2π)/842 weeks
46-.07539 .14458 (46*2π)/842 weeks
47-.19111 .03561 (47*2π)/842 weeks
48-.22381 -.01481 (48*2π)/842 weeks
49-.12866 .10126 (49*2π)/842 weeks
50-.13053 .03565 (50*2π)/842 weeks
51-.20569 -.0312 (51*2π)/842 weeks
52-.18436 .13045 (52*2π)/842 weeks
53-.17608 .02996 (53*2π)/842 weeks
54-.06869 .05261 (54*2π)/842 weeks
55-.10685 .01846 (55*2π)/842 weeks
56-.02612 .0855 (56*2π)/842 weeks
57-.13144 .11069 (57*2π)/841 weeks
58-.05759 .17029 (58*2π)/841 weeks
59-.03642 .03156 (59*2π)/841 weeks
60-.22627 -.0087 (60*2π)/841 weeks
61-.17151 .17126 (61*2π)/841 weeks
62-.03164 .20951 (62*2π)/841 weeks
63-.10098 .09789 (63*2π)/841 weeks
64-.19144 .25749 (64*2π)/841 weeks
65-.15881 .16234 (65*2π)/841 weeks
66-.18854 .10615 (66*2π)/841 weeks
67-.14041 .18858 (67*2π)/841 weeks
68.0098 .21391 (68*2π)/841 weeks
69-.27941 .19559 (69*2π)/841 weeks
70-.39703 .31292 (70*2π)/841 weeks
71.01711 .24299 (71*2π)/841 weeks
72-.23976 .05642 (72*2π)/841 weeks
73-.2803 .37263 (73*2π)/841 weeks
74.04727 .23026 (74*2π)/841 weeks
75-.11096 .14095 (75*2π)/841 weeks
76-.02443 .5935 (76*2π)/841 weeks
77.10367 .30454 (77*2π)/841 weeks
78-.12762 .29586 (78*2π)/841 weeks
79.22057 .87004 (79*2π)/841 weeks
80.17755 1.6767 (80*2π)/841 weeks
81-.28694 .67436 (81*2π)/841 weeks
82-.96644 2.25523 (82*2π)/841 weeks



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