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Fourier Analysis of ABBV (AbbVie Inc. Common Stock)


ABBV (AbbVie Inc. Common Stock) appears to have interesting cyclic behaviour every 17 weeks (.933*sine), 8 weeks (.9064*sine), and 13 weeks (.8911*sine).

ABBV (AbbVie Inc. Common Stock) has an average price of 52.07 (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 1/2/2013 to 11/28/2016 for ABBV (AbbVie Inc. Common Stock), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
052.06542   0 
1-4.8072 -8.97757 (1*2π)/205205 weeks
21.27101 -3.44928 (2*2π)/205103 weeks
3-.43979 -4.77179 (3*2π)/20568 weeks
4-1.33017 -3.26036 (4*2π)/20551 weeks
5-1.308 -.37052 (5*2π)/20541 weeks
6-.21661 -2.22949 (6*2π)/20534 weeks
7-1.94655 -.81313 (7*2π)/20529 weeks
81.10615 -1.46876 (8*2π)/20526 weeks
9-.87823 -1.19913 (9*2π)/20523 weeks
10-.21648 -.81853 (10*2π)/20521 weeks
11-.01295 -.12303 (11*2π)/20519 weeks
12.61099 -.93299 (12*2π)/20517 weeks
13-.18572 -.83599 (13*2π)/20516 weeks
14.40767 -.23766 (14*2π)/20515 weeks
15-.21354 -.72731 (15*2π)/20514 weeks
16-.31583 -.89114 (16*2π)/20513 weeks
17-.35202 .21351 (17*2π)/20512 weeks
18-.42205 -.63781 (18*2π)/20511 weeks
19-.24764 -.64329 (19*2π)/20511 weeks
20-.1938 -.62095 (20*2π)/20510 weeks
21.25713 -.01439 (21*2π)/20510 weeks
22-.03969 -.56157 (22*2π)/2059 weeks
23-.07034 -.85059 (23*2π)/2059 weeks
24-.34678 -.07456 (24*2π)/2059 weeks
25-.16681 -.46806 (25*2π)/2058 weeks
26.00103 -.34434 (26*2π)/2058 weeks
27-.35313 -.9064 (27*2π)/2058 weeks
28-.53581 -.32246 (28*2π)/2057 weeks
29.13097 -.15078 (29*2π)/2057 weeks
30-.28315 -.22364 (30*2π)/2057 weeks
31-.36537 -.41694 (31*2π)/2057 weeks
32-.20161 -.28402 (32*2π)/2056 weeks
33-.2465 -.31722 (33*2π)/2056 weeks
34-.37931 -.32243 (34*2π)/2056 weeks
35-.21828 .14347 (35*2π)/2056 weeks
36-.15999 -.11644 (36*2π)/2056 weeks
37-.07171 -.15505 (37*2π)/2056 weeks
38-.35593 -.38938 (38*2π)/2055 weeks
39.0489 -.15267 (39*2π)/2055 weeks
40-.43361 -.11814 (40*2π)/2055 weeks
41-.16791 -.34941 (41*2π)/2055 weeks
42-.43003 -.1802 (42*2π)/2055 weeks
43-.29781 -.08798 (43*2π)/2055 weeks
44-.19454 -.08009 (44*2π)/2055 weeks
45-.01452 -.05975 (45*2π)/2055 weeks
46-.02651 -.0694 (46*2π)/2054 weeks
47-.37406 -.26194 (47*2π)/2054 weeks
48-.04836 -.06671 (48*2π)/2054 weeks
49-.51685 -.27328 (49*2π)/2054 weeks
50.11144 -.0258 (50*2π)/2054 weeks
51-.31912 -.30999 (51*2π)/2054 weeks
52-.13318 .0532 (52*2π)/2054 weeks
53-.0144 -.03932 (53*2π)/2054 weeks
54.30632 -.13822 (54*2π)/2054 weeks
55-.15441 -.41905 (55*2π)/2054 weeks
56-.29723 .06912 (56*2π)/2054 weeks
57-.04559 .01831 (57*2π)/2054 weeks
58-.06096 -.35249 (58*2π)/2054 weeks
59-.20673 -.13605 (59*2π)/2053 weeks
60-.1923 -.19672 (60*2π)/2053 weeks
61.21653 -.03699 (61*2π)/2053 weeks
62-.11176 -.46374 (62*2π)/2053 weeks
63-.11372 -.05785 (63*2π)/2053 weeks
64-.01296 -.0501 (64*2π)/2053 weeks
65-.20047 -.24568 (65*2π)/2053 weeks
66-.21081 -.11944 (66*2π)/2053 weeks
67-.05968 -.02348 (67*2π)/2053 weeks
68-.01802 -.23086 (68*2π)/2053 weeks
69-.34198 -.20882 (69*2π)/2053 weeks
70-.22398 .02438 (70*2π)/2053 weeks
71-.33825 -.29354 (71*2π)/2053 weeks
72-.1122 -.07336 (72*2π)/2053 weeks
73-.26231 -.16302 (73*2π)/2053 weeks
74-.06804 .08012 (74*2π)/2053 weeks
75-.02934 -.12986 (75*2π)/2053 weeks
76-.12395 -.30522 (76*2π)/2053 weeks
77-.30934 .02085 (77*2π)/2053 weeks
78-.19135 -.03945 (78*2π)/2053 weeks
79-.23664 .0067 (79*2π)/2053 weeks
80-.19035 -.0621 (80*2π)/2053 weeks
81-.37679 -.03497 (81*2π)/2053 weeks
82-.11283 -.04177 (82*2π)/2053 weeks
83-.23623 -.04064 (83*2π)/2052 weeks
84-.15136 -.08598 (84*2π)/2052 weeks
85-.09956 .10614 (85*2π)/2052 weeks
86-.15974 .05209 (86*2π)/2052 weeks
87-.21274 -.06933 (87*2π)/2052 weeks
88-.09586 .07907 (88*2π)/2052 weeks
89.0792 .15777 (89*2π)/2052 weeks
90-.11629 -.13622 (90*2π)/2052 weeks
91-.20643 .07362 (91*2π)/2052 weeks
92.02039 .1162 (92*2π)/2052 weeks
93-.14959 -.11303 (93*2π)/2052 weeks
94-.1101 -.11602 (94*2π)/2052 weeks
95-.03283 .18485 (95*2π)/2052 weeks
96-.16666 .06099 (96*2π)/2052 weeks
97-.21856 -.15948 (97*2π)/2052 weeks
98-.10475 -.05159 (98*2π)/2052 weeks
99.01362 -.02002 (99*2π)/2052 weeks
100-.08279 -.16414 (100*2π)/2052 weeks
101-.03086 .0723 (101*2π)/2052 weeks
102-.15726 -.05302 (102*2π)/2052 weeks
103-.15726 .05302 (103*2π)/2052 weeks
104-.03086 -.0723 (104*2π)/2052 weeks
105-.08279 .16414 (105*2π)/2052 weeks
106.01362 .02002 (106*2π)/2052 weeks
107-.10475 .05159 (107*2π)/2052 weeks
108-.21856 .15948 (108*2π)/2052 weeks
109-.16666 -.06099 (109*2π)/2052 weeks
110-.03283 -.18485 (110*2π)/2052 weeks
111-.1101 .11602 (111*2π)/2052 weeks
112-.14959 .11303 (112*2π)/2052 weeks
113.02039 -.1162 (113*2π)/2052 weeks
114-.20643 -.07362 (114*2π)/2052 weeks
115-.11629 .13622 (115*2π)/2052 weeks
116.0792 -.15777 (116*2π)/2052 weeks
117-.09586 -.07907 (117*2π)/2052 weeks
118-.21274 .06933 (118*2π)/2052 weeks
119-.15974 -.05209 (119*2π)/2052 weeks
120-.09956 -.10614 (120*2π)/2052 weeks
121-.15136 .08598 (121*2π)/2052 weeks
122-.23623 .04064 (122*2π)/2052 weeks
123-.11283 .04177 (123*2π)/2052 weeks
124-.37679 .03497 (124*2π)/2052 weeks
125-.19035 .0621 (125*2π)/2052 weeks
126-.23664 -.0067 (126*2π)/2052 weeks
127-.19135 .03945 (127*2π)/2052 weeks
128-.30934 -.02085 (128*2π)/2052 weeks
129-.12395 .30522 (129*2π)/2052 weeks
130-.02934 .12986 (130*2π)/2052 weeks
131-.06804 -.08012 (131*2π)/2052 weeks
132-.26231 .16302 (132*2π)/2052 weeks
133-.1122 .07336 (133*2π)/2052 weeks
134-.33825 .29354 (134*2π)/2052 weeks
135-.22398 -.02438 (135*2π)/2052 weeks
136-.34198 .20882 (136*2π)/2052 weeks
137-.01802 .23086 (137*2π)/2051 weeks
138-.05968 .02348 (138*2π)/2051 weeks
139-.21081 .11944 (139*2π)/2051 weeks
140-.20047 .24568 (140*2π)/2051 weeks
141-.01296 .0501 (141*2π)/2051 weeks
142-.11372 .05785 (142*2π)/2051 weeks
143-.11176 .46374 (143*2π)/2051 weeks
144.21653 .03699 (144*2π)/2051 weeks
145-.1923 .19672 (145*2π)/2051 weeks
146-.20673 .13605 (146*2π)/2051 weeks
147-.06096 .35249 (147*2π)/2051 weeks
148-.04559 -.01831 (148*2π)/2051 weeks
149-.29723 -.06912 (149*2π)/2051 weeks
150-.15441 .41905 (150*2π)/2051 weeks
151.30632 .13822 (151*2π)/2051 weeks
152-.0144 .03932 (152*2π)/2051 weeks
153-.13318 -.0532 (153*2π)/2051 weeks
154-.31912 .30999 (154*2π)/2051 weeks
155.11144 .0258 (155*2π)/2051 weeks
156-.51685 .27328 (156*2π)/2051 weeks
157-.04836 .06671 (157*2π)/2051 weeks
158-.37406 .26194 (158*2π)/2051 weeks
159-.02651 .0694 (159*2π)/2051 weeks
160-.01452 .05975 (160*2π)/2051 weeks
161-.19454 .08009 (161*2π)/2051 weeks
162-.29781 .08798 (162*2π)/2051 weeks
163-.43003 .1802 (163*2π)/2051 weeks
164-.16791 .34941 (164*2π)/2051 weeks
165-.43361 .11814 (165*2π)/2051 weeks
166.0489 .15267 (166*2π)/2051 weeks
167-.35593 .38938 (167*2π)/2051 weeks
168-.07171 .15505 (168*2π)/2051 weeks
169-.15999 .11644 (169*2π)/2051 weeks
170-.21828 -.14347 (170*2π)/2051 weeks
171-.37931 .32243 (171*2π)/2051 weeks
172-.2465 .31722 (172*2π)/2051 weeks
173-.20161 .28402 (173*2π)/2051 weeks
174-.36537 .41694 (174*2π)/2051 weeks
175-.28315 .22364 (175*2π)/2051 weeks
176.13097 .15078 (176*2π)/2051 weeks
177-.53581 .32246 (177*2π)/2051 weeks
178-.35313 .9064 (178*2π)/2051 weeks
179.00103 .34434 (179*2π)/2051 weeks
180-.16681 .46806 (180*2π)/2051 weeks
181-.34678 .07456 (181*2π)/2051 weeks
182-.07034 .85059 (182*2π)/2051 weeks
183-.03969 .56157 (183*2π)/2051 weeks
184.25713 .01439 (184*2π)/2051 weeks
185-.1938 .62095 (185*2π)/2051 weeks
186-.24764 .64329 (186*2π)/2051 weeks
187-.42205 .63781 (187*2π)/2051 weeks
188-.35202 -.21351 (188*2π)/2051 weeks
189-.31583 .89114 (189*2π)/2051 weeks
190-.21354 .72731 (190*2π)/2051 weeks
191.40767 .23766 (191*2π)/2051 weeks
192-.18572 .83599 (192*2π)/2051 weeks
193.61099 .93299 (193*2π)/2051 weeks
194-.01295 .12303 (194*2π)/2051 weeks
195-.21648 .81853 (195*2π)/2051 weeks
196-.87823 1.19913 (196*2π)/2051 weeks
1971.10615 1.46876 (197*2π)/2051 weeks
198-1.94655 .81313 (198*2π)/2051 weeks
199-.21661 2.22949 (199*2π)/2051 weeks
200-1.308 .37052 (200*2π)/2051 weeks
201-1.33017 3.26036 (201*2π)/2051 weeks
202-.43979 4.77179 (202*2π)/2051 weeks
2031.27101 3.44928 (203*2π)/2051 weeks

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