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Fourier Analysis of BB


BB appears to have interesting cyclic behaviour every 9 weeks (3.4533*sine), 9 weeks (3.1777*sine), and 5 weeks (2.8516*cosine).

BB has an average price of 30.64 (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 12/27/2007 to 12/12/2016 for BB, this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
030.63796   0 
135.16681 25.46 (1*2π)/140140 weeks
212.20704 32.34133 (2*2π)/14070 weeks
3-5.21629 23.73357 (3*2π)/14047 weeks
4-8.83832 9.11363 (4*2π)/14035 weeks
5-3.50791 2.11377 (5*2π)/14028 weeks
61.3857 2.55793 (6*2π)/14023 weeks
71.53257 4.75897 (7*2π)/14020 weeks
8-.32203 4.34378 (8*2π)/14018 weeks
9-.70149 2.54331 (9*2π)/14016 weeks
10.37631 1.41838 (10*2π)/14014 weeks
111.11685 1.37609 (11*2π)/14013 weeks
121.43716 1.31781 (12*2π)/14012 weeks
132.03284 1.40392 (13*2π)/14011 weeks
142.57651 2.33891 (14*2π)/14010 weeks
151.79906 3.45326 (15*2π)/1409 weeks
16-.03579 3.17774 (16*2π)/1409 weeks
17-.67561 1.4459 (17*2π)/1408 weeks
18.54 .06579 (18*2π)/1408 weeks
192.02325 .4985 (19*2π)/1407 weeks
201.9216 1.8185 (20*2π)/1407 weeks
21.97096 2.09799 (21*2π)/1407 weeks
22.4653 1.31845 (22*2π)/1406 weeks
23.98207 .85506 (23*2π)/1406 weeks
241.16875 1.25485 (24*2π)/1406 weeks
25.61594 1.43078 (25*2π)/1406 weeks
26.08874 .5715 (26*2π)/1405 weeks
27.80978 -.54723 (27*2π)/1405 weeks
282.19253 -.39414 (28*2π)/1405 weeks
292.85156 .95711 (29*2π)/1405 weeks
302.05251 1.95894 (30*2π)/1405 weeks
311.02857 1.77891 (31*2π)/1405 weeks
32.89919 1.14163 (32*2π)/1404 weeks
331.2681 1.04306 (33*2π)/1404 weeks
341.11395 1.27692 (34*2π)/1404 weeks
35.75864 1.07443 (35*2π)/1404 weeks
36.96335 .63005 (36*2π)/1404 weeks
371.57371 .81541 (37*2π)/1404 weeks
381.50361 1.61756 (38*2π)/1404 weeks
39.56381 1.88632 (39*2π)/1404 weeks
40-.1821 1.15538 (40*2π)/1404 weeks
41.15089 .1061 (41*2π)/1403 weeks
421.06917 -.01038 (42*2π)/1403 weeks
431.48423 .70689 (43*2π)/1403 weeks
441.0272 1.35421 (44*2π)/1403 weeks
45.32282 1.16252 (45*2π)/1403 weeks
46.14841 .63366 (46*2π)/1403 weeks
47.39104 .28731 (47*2π)/1403 weeks
48.53266 .27843 (48*2π)/1403 weeks
49.57795 .15938 (49*2π)/1403 weeks
50.79922 .05501 (50*2π)/1403 weeks
511.04083 .2803 (51*2π)/1403 weeks
52.84333 .69739 (52*2π)/1403 weeks
53.35211 .58097 (53*2π)/1403 weeks
54.18981 .02081 (54*2π)/1403 weeks
55.60823 -.32437 (55*2π)/1403 weeks
56.95558 -.13075 (56*2π)/1403 weeks
57.84856 .04922 (57*2π)/1402 weeks
58.72823 -.15314 (58*2π)/1402 weeks
591.05695 -.37777 (59*2π)/1402 weeks
601.54704 -.03727 (60*2π)/1402 weeks
611.43692 .63991 (61*2π)/1402 weeks
62.69396 .88052 (62*2π)/1402 weeks
63.04844 .36684 (63*2π)/1402 weeks
64.22931 -.40434 (64*2π)/1402 weeks
65.76672 -.62625 (65*2π)/1402 weeks
661.01633 -.35895 (66*2π)/1402 weeks
67.86205 -.3122 (67*2π)/1402 weeks
681.04133 -.68068 (68*2π)/1402 weeks
691.65154 -.68823 (69*2π)/1402 weeks
702.06793   (70*2π)/1402 weeks
711.65154 .68823 (71*2π)/1402 weeks
721.04133 .68068 (72*2π)/1402 weeks
73.86205 .3122 (73*2π)/1402 weeks
741.01633 .35895 (74*2π)/1402 weeks
75.76672 .62625 (75*2π)/1402 weeks
76.22931 .40434 (76*2π)/1402 weeks
77.04844 -.36684 (77*2π)/1402 weeks
78.69396 -.88052 (78*2π)/1402 weeks
791.43692 -.63991 (79*2π)/1402 weeks
801.54704 .03727 (80*2π)/1402 weeks
811.05695 .37777 (81*2π)/1402 weeks
82.72823 .15314 (82*2π)/1402 weeks
83.84856 -.04922 (83*2π)/1402 weeks
84.95558 .13075 (84*2π)/1402 weeks
85.60823 .32437 (85*2π)/1402 weeks
86.18981 -.02081 (86*2π)/1402 weeks
87.35211 -.58097 (87*2π)/1402 weeks
88.84333 -.69739 (88*2π)/1402 weeks
891.04083 -.2803 (89*2π)/1402 weeks
90.79922 -.05501 (90*2π)/1402 weeks
91.57795 -.15938 (91*2π)/1402 weeks
92.53266 -.27843 (92*2π)/1402 weeks
93.39104 -.28731 (93*2π)/1402 weeks
94.14841 -.63366 (94*2π)/1401 weeks
95.32282 -1.16252 (95*2π)/1401 weeks
961.0272 -1.35421 (96*2π)/1401 weeks
971.48423 -.70689 (97*2π)/1401 weeks
981.06917 .01038 (98*2π)/1401 weeks
99.15089 -.1061 (99*2π)/1401 weeks
100-.1821 -1.15538 (100*2π)/1401 weeks
101.56381 -1.88632 (101*2π)/1401 weeks
1021.50361 -1.61756 (102*2π)/1401 weeks
1031.57371 -.81541 (103*2π)/1401 weeks
104.96335 -.63005 (104*2π)/1401 weeks
105.75864 -1.07443 (105*2π)/1401 weeks
1061.11395 -1.27692 (106*2π)/1401 weeks
1071.2681 -1.04306 (107*2π)/1401 weeks
108.89919 -1.14163 (108*2π)/1401 weeks
1091.02857 -1.77891 (109*2π)/1401 weeks
1102.05251 -1.95894 (110*2π)/1401 weeks
1112.85156 -.95711 (111*2π)/1401 weeks
1122.19253 .39414 (112*2π)/1401 weeks
113.80978 .54723 (113*2π)/1401 weeks
114.08874 -.5715 (114*2π)/1401 weeks
115.61594 -1.43078 (115*2π)/1401 weeks
1161.16875 -1.25485 (116*2π)/1401 weeks
117.98207 -.85506 (117*2π)/1401 weeks
118.4653 -1.31845 (118*2π)/1401 weeks
119.97096 -2.09799 (119*2π)/1401 weeks
1201.9216 -1.8185 (120*2π)/1401 weeks
1212.02325 -.4985 (121*2π)/1401 weeks
122.54 -.06579 (122*2π)/1401 weeks
123-.67561 -1.4459 (123*2π)/1401 weeks
124-.03579 -3.17774 (124*2π)/1401 weeks
1251.79906 -3.45326 (125*2π)/1401 weeks
1262.57651 -2.33891 (126*2π)/1401 weeks
1272.03284 -1.40392 (127*2π)/1401 weeks
1281.43716 -1.31781 (128*2π)/1401 weeks
1291.11685 -1.37609 (129*2π)/1401 weeks
130.37631 -1.41838 (130*2π)/1401 weeks
131-.70149 -2.54331 (131*2π)/1401 weeks
132-.32203 -4.34378 (132*2π)/1401 weeks
1331.53257 -4.75897 (133*2π)/1401 weeks
1341.3857 -2.55793 (134*2π)/1401 weeks
135-3.50791 -2.11377 (135*2π)/1401 weeks
136-8.83832 -9.11363 (136*2π)/1401 weeks
137-5.21629 -23.73357 (137*2π)/1401 weeks
13812.20704 -32.34133 (138*2π)/1401 weeks

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