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# Fourier Analysis of UA (Under Armour)

UA (Under Armour) appears to have interesting cyclic behaviour every 11 weeks (1.2419*sine), 6 weeks (.8729*sine), and 9 weeks (.8377*sine).

UA (Under Armour) has an average price of 22.75 (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.

## Fourier Analysis

Using data from 4/7/2016 to 4/23/2018 for UA (Under Armour), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
022.74778   0
13.99718 9.6914 (1*2π)/108108 weeks
2.3475 5.39946 (2*2π)/10854 weeks
3.53418 1.39234 (3*2π)/10836 weeks
4.03298 1.39634 (4*2π)/10827 weeks
51.22328 .89665 (5*2π)/10822 weeks
6.84951 2.14761 (6*2π)/10818 weeks
7.42818 1.21769 (7*2π)/10815 weeks
8.89194 .58361 (8*2π)/10814 weeks
9.30553 1.71863 (9*2π)/10812 weeks
10.2296 1.24185 (10*2π)/10811 weeks
11.65122 .79982 (11*2π)/10810 weeks
12.73758 .83771 (12*2π)/1089 weeks
13.38938 .73748 (13*2π)/1088 weeks
14.04575 .83552 (14*2π)/1088 weeks
15.19358 .26329 (15*2π)/1087 weeks
16.62933 .59161 (16*2π)/1087 weeks
17.06788 .87291 (17*2π)/1086 weeks
18.06389 .7698 (18*2π)/1086 weeks
19.37363 .7891 (19*2π)/1086 weeks
20-.11805 .49135 (20*2π)/1085 weeks
21.27035 .19742 (21*2π)/1085 weeks
22.15144 .56167 (22*2π)/1085 weeks
23.40167 .1316 (23*2π)/1085 weeks
24.28211 .3386 (24*2π)/1085 weeks
25.0202 .42518 (25*2π)/1084 weeks
26.06291 .26801 (26*2π)/1084 weeks
27.33444 .07741 (27*2π)/1084 weeks
28.4296 .20383 (28*2π)/1084 weeks
29.08751 .40161 (29*2π)/1084 weeks
30-.03069 -.02804 (30*2π)/1084 weeks
31.48376 .1012 (31*2π)/1083 weeks
32.27428 .11988 (32*2π)/1083 weeks
33.18565 -.22163 (33*2π)/1083 weeks
34.31054 .05503 (34*2π)/1083 weeks
35.30904 .03169 (35*2π)/1083 weeks
36.36667 .18379 (36*2π)/1083 weeks
37.23568 .18838 (37*2π)/1083 weeks
38.25847 .16565 (38*2π)/1083 weeks
39.58117 .24482 (39*2π)/1083 weeks
40.22278 .05879 (40*2π)/1083 weeks
41.14012 -.05455 (41*2π)/1083 weeks
42.20868 -.01011 (42*2π)/1083 weeks
43.37581 -.13288 (43*2π)/1083 weeks
44.38441 .14913 (44*2π)/1082 weeks
45.1628 -.00733 (45*2π)/1082 weeks
46.44271 -.05535 (46*2π)/1082 weeks
47.36618 .24186 (47*2π)/1082 weeks
48.18503 -.01173 (48*2π)/1082 weeks
49.47167 -.10314 (49*2π)/1082 weeks
50.28775 .14307 (50*2π)/1082 weeks
51.34728 -.05076 (51*2π)/1082 weeks
52.32606 -.00883 (52*2π)/1082 weeks
53.30764 -.02584 (53*2π)/1082 weeks
54.30889   (54*2π)/1082 weeks
55.30764 .02584 (55*2π)/1082 weeks
56.32606 .00883 (56*2π)/1082 weeks
57.34728 .05076 (57*2π)/1082 weeks
58.28775 -.14307 (58*2π)/1082 weeks
59.47167 .10314 (59*2π)/1082 weeks
60.18503 .01173 (60*2π)/1082 weeks
61.36618 -.24186 (61*2π)/1082 weeks
62.44271 .05535 (62*2π)/1082 weeks
63.1628 .00733 (63*2π)/1082 weeks
64.38441 -.14913 (64*2π)/1082 weeks
65.37581 .13288 (65*2π)/1082 weeks
66.20868 .01011 (66*2π)/1082 weeks
67.14012 .05455 (67*2π)/1082 weeks
68.22278 -.05879 (68*2π)/1082 weeks
69.58117 -.24482 (69*2π)/1082 weeks
70.25847 -.16565 (70*2π)/1082 weeks
71.23568 -.18838 (71*2π)/1082 weeks
72.36667 -.18379 (72*2π)/1082 weeks
73.30904 -.03169 (73*2π)/1081 weeks
74.31054 -.05503 (74*2π)/1081 weeks
75.18565 .22163 (75*2π)/1081 weeks
76.27428 -.11988 (76*2π)/1081 weeks
77.48376 -.1012 (77*2π)/1081 weeks
78-.03069 .02804 (78*2π)/1081 weeks
79.08751 -.40161 (79*2π)/1081 weeks
80.4296 -.20383 (80*2π)/1081 weeks
81.33444 -.07741 (81*2π)/1081 weeks
82.06291 -.26801 (82*2π)/1081 weeks
83.0202 -.42518 (83*2π)/1081 weeks
84.28211 -.3386 (84*2π)/1081 weeks
85.40167 -.1316 (85*2π)/1081 weeks
86.15144 -.56167 (86*2π)/1081 weeks
87.27035 -.19742 (87*2π)/1081 weeks
88-.11805 -.49135 (88*2π)/1081 weeks
89.37363 -.7891 (89*2π)/1081 weeks
90.06389 -.7698 (90*2π)/1081 weeks
91.06788 -.87291 (91*2π)/1081 weeks
92.62933 -.59161 (92*2π)/1081 weeks
93.19358 -.26329 (93*2π)/1081 weeks
94.04575 -.83552 (94*2π)/1081 weeks
95.38938 -.73748 (95*2π)/1081 weeks
96.73758 -.83771 (96*2π)/1081 weeks
97.65122 -.79982 (97*2π)/1081 weeks
98.2296 -1.24185 (98*2π)/1081 weeks
99.30553 -1.71863 (99*2π)/1081 weeks
100.89194 -.58361 (100*2π)/1081 weeks
101.42818 -1.21769 (101*2π)/1081 weeks
102.84951 -2.14761 (102*2π)/1081 weeks
1031.22328 -.89665 (103*2π)/1081 weeks
104.03298 -1.39634 (104*2π)/1081 weeks
105.53418 -1.39234 (105*2π)/1081 weeks
106.3475 -5.39946 (106*2π)/1081 weeks