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# Fourier Analysis of ABCW (Anchor BanCorp Wisconsin Inc.)

ABCW (Anchor BanCorp Wisconsin Inc.) appears to have interesting cyclic behaviour every 11 weeks (.8303*sine), 8 weeks (.5045*sine), and 7 weeks (.3561*cosine).

ABCW (Anchor BanCorp Wisconsin Inc.) has an average price of 40.83 (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.

## Fourier Analysis

Using data from 10/22/2014 to 10/24/2016 for ABCW (Anchor BanCorp Wisconsin Inc.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
040.83415   0
1-.80775 -6.10035 (1*2π)/106106 weeks
2-.44758 -3.35609 (2*2π)/10653 weeks
3-.80965 -1.32205 (3*2π)/10635 weeks
4-.2004 -.92125 (4*2π)/10627 weeks
5-.36158 -1.67482 (5*2π)/10621 weeks
6-.55608 -1.01269 (6*2π)/10618 weeks
7-.01086 -.89286 (7*2π)/10615 weeks
8-.20954 -.99223 (8*2π)/10613 weeks
9.05056 -.60841 (9*2π)/10612 weeks
10.0181 -.83026 (10*2π)/10611 weeks
11-.04411 -.32951 (11*2π)/10610 weeks
12.18941 -.23763 (12*2π)/1069 weeks
13-.31191 -.23686 (13*2π)/1068 weeks
14-.18245 -.50447 (14*2π)/1068 weeks
15-.08827 .05214 (15*2π)/1067 weeks
16-.35614 -.33969 (16*2π)/1067 weeks
17-.20075 -.47225 (17*2π)/1066 weeks
18-.19034 -.09815 (18*2π)/1066 weeks
19-.19977 -.3251 (19*2π)/1066 weeks
20-.16405 -.25005 (20*2π)/1065 weeks
21-.28854 -.15133 (21*2π)/1065 weeks
22-.28518 -.45802 (22*2π)/1065 weeks
23-.00347 -.2102 (23*2π)/1065 weeks
24-.13414 -.23465 (24*2π)/1064 weeks
25-.12569 -.27946 (25*2π)/1064 weeks
26-.00694 .03371 (26*2π)/1064 weeks
27-.29891 -.15705 (27*2π)/1064 weeks
28-.08164 -.15477 (28*2π)/1064 weeks
29-.33079 -.05186 (29*2π)/1064 weeks
30-.14768 -.27376 (30*2π)/1064 weeks
31-.10355 -.05157 (31*2π)/1063 weeks
32-.30534 -.15544 (32*2π)/1063 weeks
33-.13677 -.16926 (33*2π)/1063 weeks
34-.27533 -.11541 (34*2π)/1063 weeks
35-.01227 -.30984 (35*2π)/1063 weeks
36-.23801 -.0788 (36*2π)/1063 weeks
37.02881 -.05472 (37*2π)/1063 weeks
38-.24535 -.1866 (38*2π)/1063 weeks
39-.04385 -.10471 (39*2π)/1063 weeks
40-.08649 .01557 (40*2π)/1063 weeks
41-.12132 -.11871 (41*2π)/1063 weeks
42-.09222 .06531 (42*2π)/1063 weeks
43-.23671 -.06225 (43*2π)/1062 weeks
44-.09736 .05739 (44*2π)/1062 weeks
45-.26931 -.09158 (45*2π)/1062 weeks
46-.15409 -.04123 (46*2π)/1062 weeks
47-.23118 -.0813 (47*2π)/1062 weeks
48-.07982 -.02253 (48*2π)/1062 weeks
49-.19436 -.13976 (49*2π)/1062 weeks
50-.20697 -.053 (50*2π)/1062 weeks
51.09651 -.02907 (51*2π)/1062 weeks
52-.28853 -.05085 (52*2π)/1062 weeks
53.09094   (53*2π)/1062 weeks
54-.28853 .05085 (54*2π)/1062 weeks
55.09651 .02907 (55*2π)/1062 weeks
56-.20697 .053 (56*2π)/1062 weeks
57-.19436 .13976 (57*2π)/1062 weeks
58-.07982 .02253 (58*2π)/1062 weeks
59-.23118 .0813 (59*2π)/1062 weeks
60-.15409 .04123 (60*2π)/1062 weeks
61-.26931 .09158 (61*2π)/1062 weeks
62-.09736 -.05739 (62*2π)/1062 weeks
63-.23671 .06225 (63*2π)/1062 weeks
64-.09222 -.06531 (64*2π)/1062 weeks
65-.12132 .11871 (65*2π)/1062 weeks
66-.08649 -.01557 (66*2π)/1062 weeks
67-.04385 .10471 (67*2π)/1062 weeks
68-.24535 .1866 (68*2π)/1062 weeks
69.02881 .05472 (69*2π)/1062 weeks
70-.23801 .0788 (70*2π)/1062 weeks
71-.01227 .30984 (71*2π)/1061 weeks
72-.27533 .11541 (72*2π)/1061 weeks
73-.13677 .16926 (73*2π)/1061 weeks
74-.30534 .15544 (74*2π)/1061 weeks
75-.10355 .05157 (75*2π)/1061 weeks
76-.14768 .27376 (76*2π)/1061 weeks
77-.33079 .05186 (77*2π)/1061 weeks
78-.08164 .15477 (78*2π)/1061 weeks
79-.29891 .15705 (79*2π)/1061 weeks
80-.00694 -.03371 (80*2π)/1061 weeks
81-.12569 .27946 (81*2π)/1061 weeks
82-.13414 .23465 (82*2π)/1061 weeks
83-.00347 .2102 (83*2π)/1061 weeks
84-.28518 .45802 (84*2π)/1061 weeks
85-.28854 .15133 (85*2π)/1061 weeks
86-.16405 .25005 (86*2π)/1061 weeks
87-.19977 .3251 (87*2π)/1061 weeks
88-.19034 .09815 (88*2π)/1061 weeks
89-.20075 .47225 (89*2π)/1061 weeks
90-.35614 .33969 (90*2π)/1061 weeks
91-.08827 -.05214 (91*2π)/1061 weeks
92-.18245 .50447 (92*2π)/1061 weeks
93-.31191 .23686 (93*2π)/1061 weeks
94.18941 .23763 (94*2π)/1061 weeks
95-.04411 .32951 (95*2π)/1061 weeks
96.0181 .83026 (96*2π)/1061 weeks
97.05056 .60841 (97*2π)/1061 weeks
98-.20954 .99223 (98*2π)/1061 weeks
99-.01086 .89286 (99*2π)/1061 weeks
100-.55608 1.01269 (100*2π)/1061 weeks
101-.36158 1.67482 (101*2π)/1061 weeks
102-.2004 .92125 (102*2π)/1061 weeks
103-.80965 1.32205 (103*2π)/1061 weeks
104-.44758 3.35609 (104*2π)/1061 weeks