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Fourier Analysis of BBAGF (BB BIOTECH AG)


BBAGF (BB BIOTECH AG) appears to have interesting cyclic behaviour every 12 weeks (16.2325*sine), 11 weeks (15.1995*cosine), and 4 weeks (13.0847*cosine).

BBAGF (BB BIOTECH AG) has an average price of 107.59 (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 12/30/1993 to 1/16/2017 for BBAGF (BB BIOTECH AG), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0107.5876   0 
1-100.2001 -102.8298 (1*2π)/184184 weeks
216.89094 81.90221 (2*2π)/18492 weeks
314.62537 -38.04455 (3*2π)/18461 weeks
46.24883 -3.5697 (4*2π)/18446 weeks
5-20.11609 -14.42606 (5*2π)/18437 weeks
611.08499 15.28709 (6*2π)/18431 weeks
73.53335 -7.86974 (7*2π)/18426 weeks
83.51359 -1.42543 (8*2π)/18423 weeks
9-6.23635 -.89865 (9*2π)/18420 weeks
103.69206 -1.69034 (10*2π)/18418 weeks
11-7.36682 .88093 (11*2π)/18417 weeks
1210.14424 .90964 (12*2π)/18415 weeks
13-1.78074 -6.79554 (13*2π)/18414 weeks
14-5.86258 -2.48467 (14*2π)/18413 weeks
15-1.54049 16.23252 (15*2π)/18412 weeks
1613.4148 -13.83646 (16*2π)/18412 weeks
17-15.19954 2.24284 (17*2π)/18411 weeks
184.6549 -1.81479 (18*2π)/18410 weeks
19-3.93809 7.47942 (19*2π)/18410 weeks
208.67015 -7.13837 (20*2π)/1849 weeks
21-5.81698 -.22406 (21*2π)/1849 weeks
22-2.33973 -1.3366 (22*2π)/1848 weeks
232.63828 6.33933 (23*2π)/1848 weeks
241.61517 -6.97602 (24*2π)/1848 weeks
25-1.74633 -2.32334 (25*2π)/1847 weeks
26-6.91415 1.70948 (26*2π)/1847 weeks
2710.22975 2.73682 (27*2π)/1847 weeks
28-6.89141 -7.904 (28*2π)/1847 weeks
291.94709 6.63963 (29*2π)/1846 weeks
30-.93758 -5.33819 (30*2π)/1846 weeks
31-.85777 2.15625 (31*2π)/1846 weeks
32-.63356 -.60352 (32*2π)/1846 weeks
334.51972 -.44333 (33*2π)/1846 weeks
34-4.86044 -3.33712 (34*2π)/1845 weeks
352.37984 4.11678 (35*2π)/1845 weeks
36-3.35508 -1.63698 (36*2π)/1845 weeks
376.66515 1.26256 (37*2π)/1845 weeks
38-7.56717 -4.86316 (38*2π)/1845 weeks
396.96695 3.53982 (39*2π)/1845 weeks
40-9.19582 -2.07308 (40*2π)/1845 weeks
4113.08474 5.3508 (41*2π)/1844 weeks
42-10.98269 -12.32701 (42*2π)/1844 weeks
431.06393 13.22315 (43*2π)/1844 weeks
443.76759 -6.89617 (44*2π)/1844 weeks
45-2.30761 .78163 (45*2π)/1844 weeks
46-.11589 -1.56909 (46*2π)/1844 weeks
47-2.56297 2.19632 (47*2π)/1844 weeks
482.43148 -.0908 (48*2π)/1844 weeks
49-1.52133 .18112 (49*2π)/1844 weeks
50.32019 -2.98217 (50*2π)/1844 weeks
51-3.86061 3.38053 (51*2π)/1844 weeks
524.3914 -1.30819 (52*2π)/1844 weeks
53-1.17934 -.34731 (53*2π)/1843 weeks
54-2.25334 -3.13759 (54*2π)/1843 weeks
55.89781 7.28693 (55*2π)/1843 weeks
562.60324 -9.21582 (56*2π)/1843 weeks
57-8.22859 6.53118 (57*2π)/1843 weeks
5810.2882 -1.86281 (58*2π)/1843 weeks
59-8.35411 -4.58566 (59*2π)/1843 weeks
604.35292 5.37031 (60*2π)/1843 weeks
61-2.99404 -3.18576 (61*2π)/1843 weeks
624.49346 3.38462 (62*2π)/1843 weeks
63-5.34469 -5.69274 (63*2π)/1843 weeks
641.87951 5.17827 (64*2π)/1843 weeks
65-.84216 -2.34062 (65*2π)/1843 weeks
663.35712 1.12116 (66*2π)/1843 weeks
67-2.18568 -2.38202 (67*2π)/1843 weeks
68-3.01855 .33493 (68*2π)/1843 weeks
693.28453 7.45337 (69*2π)/1843 weeks
703.28706 -12.04186 (70*2π)/1843 weeks
71-9.49828 6.89982 (71*2π)/1843 weeks
727.53093 .39266 (72*2π)/1843 weeks
73-1.46179 -2.12141 (73*2π)/1843 weeks
74-2.53749 -.21229 (74*2π)/1842 weeks
751.71429 1.92142 (75*2π)/1842 weeks
76-2.54578 -2.45457 (76*2π)/1842 weeks
772.11578 2.9803 (77*2π)/1842 weeks
78-1.68544 -3.74144 (78*2π)/1842 weeks
79-.01031 3.81689 (79*2π)/1842 weeks
80-.25182 -3.57861 (80*2π)/1842 weeks
81-.15522 4.11623 (81*2π)/1842 weeks
82-.2602 -6.57201 (82*2π)/1842 weeks
83-1.88533 9.73152 (83*2π)/1842 weeks
846.757 -11.75566 (84*2π)/1842 weeks
85-12.23267 7.64574 (85*2π)/1842 weeks
8610.9012 -.79736 (86*2π)/1842 weeks
87-4.63767 -2.28032 (87*2π)/1842 weeks
88.50709 -2.14374 (88*2π)/1842 weeks
89-2.94274 4.74021 (89*2π)/1842 weeks
905.08099 -1.88988 (90*2π)/1842 weeks
91-3.17464 -1.06734 (91*2π)/1842 weeks
92.40915   (92*2π)/1842 weeks
93-3.17464 1.06734 (93*2π)/1842 weeks
945.08099 1.88988 (94*2π)/1842 weeks
95-2.94274 -4.74021 (95*2π)/1842 weeks
96.50709 2.14374 (96*2π)/1842 weeks
97-4.63767 2.28032 (97*2π)/1842 weeks
9810.9012 .79736 (98*2π)/1842 weeks
99-12.23267 -7.64574 (99*2π)/1842 weeks
1006.757 11.75566 (100*2π)/1842 weeks
101-1.88533 -9.73152 (101*2π)/1842 weeks
102-.2602 6.57201 (102*2π)/1842 weeks
103-.15522 -4.11623 (103*2π)/1842 weeks
104-.25182 3.57861 (104*2π)/1842 weeks
105-.01031 -3.81689 (105*2π)/1842 weeks
106-1.68544 3.74144 (106*2π)/1842 weeks
1072.11578 -2.9803 (107*2π)/1842 weeks
108-2.54578 2.45457 (108*2π)/1842 weeks
1091.71429 -1.92142 (109*2π)/1842 weeks
110-2.53749 .21229 (110*2π)/1842 weeks
111-1.46179 2.12141 (111*2π)/1842 weeks
1127.53093 -.39266 (112*2π)/1842 weeks
113-9.49828 -6.89982 (113*2π)/1842 weeks
1143.28706 12.04186 (114*2π)/1842 weeks
1153.28453 -7.45337 (115*2π)/1842 weeks
116-3.01855 -.33493 (116*2π)/1842 weeks
117-2.18568 2.38202 (117*2π)/1842 weeks
1183.35712 -1.12116 (118*2π)/1842 weeks
119-.84216 2.34062 (119*2π)/1842 weeks
1201.87951 -5.17827 (120*2π)/1842 weeks
121-5.34469 5.69274 (121*2π)/1842 weeks
1224.49346 -3.38462 (122*2π)/1842 weeks
123-2.99404 3.18576 (123*2π)/1841 weeks
1244.35292 -5.37031 (124*2π)/1841 weeks
125-8.35411 4.58566 (125*2π)/1841 weeks
12610.2882 1.86281 (126*2π)/1841 weeks
127-8.22859 -6.53118 (127*2π)/1841 weeks
1282.60324 9.21582 (128*2π)/1841 weeks
129.89781 -7.28693 (129*2π)/1841 weeks
130-2.25334 3.13759 (130*2π)/1841 weeks
131-1.17934 .34731 (131*2π)/1841 weeks
1324.3914 1.30819 (132*2π)/1841 weeks
133-3.86061 -3.38053 (133*2π)/1841 weeks
134.32019 2.98217 (134*2π)/1841 weeks
135-1.52133 -.18112 (135*2π)/1841 weeks
1362.43148 .0908 (136*2π)/1841 weeks
137-2.56297 -2.19632 (137*2π)/1841 weeks
138-.11589 1.56909 (138*2π)/1841 weeks
139-2.30761 -.78163 (139*2π)/1841 weeks
1403.76759 6.89617 (140*2π)/1841 weeks
1411.06393 -13.22315 (141*2π)/1841 weeks
142-10.98269 12.32701 (142*2π)/1841 weeks
14313.08474 -5.3508 (143*2π)/1841 weeks
144-9.19582 2.07308 (144*2π)/1841 weeks
1456.96695 -3.53982 (145*2π)/1841 weeks
146-7.56717 4.86316 (146*2π)/1841 weeks
1476.66515 -1.26256 (147*2π)/1841 weeks
148-3.35508 1.63698 (148*2π)/1841 weeks
1492.37984 -4.11678 (149*2π)/1841 weeks
150-4.86044 3.33712 (150*2π)/1841 weeks
1514.51972 .44333 (151*2π)/1841 weeks
152-.63356 .60352 (152*2π)/1841 weeks
153-.85777 -2.15625 (153*2π)/1841 weeks
154-.93758 5.33819 (154*2π)/1841 weeks
1551.94709 -6.63963 (155*2π)/1841 weeks
156-6.89141 7.904 (156*2π)/1841 weeks
15710.22975 -2.73682 (157*2π)/1841 weeks
158-6.91415 -1.70948 (158*2π)/1841 weeks
159-1.74633 2.32334 (159*2π)/1841 weeks
1601.61517 6.97602 (160*2π)/1841 weeks
1612.63828 -6.33933 (161*2π)/1841 weeks
162-2.33973 1.3366 (162*2π)/1841 weeks
163-5.81698 .22406 (163*2π)/1841 weeks
1648.67015 7.13837 (164*2π)/1841 weeks
165-3.93809 -7.47942 (165*2π)/1841 weeks
1664.6549 1.81479 (166*2π)/1841 weeks
167-15.19954 -2.24284 (167*2π)/1841 weeks
16813.4148 13.83646 (168*2π)/1841 weeks
169-1.54049 -16.23252 (169*2π)/1841 weeks
170-5.86258 2.48467 (170*2π)/1841 weeks
171-1.78074 6.79554 (171*2π)/1841 weeks
17210.14424 -.90964 (172*2π)/1841 weeks
173-7.36682 -.88093 (173*2π)/1841 weeks
1743.69206 1.69034 (174*2π)/1841 weeks
175-6.23635 .89865 (175*2π)/1841 weeks
1763.51359 1.42543 (176*2π)/1841 weeks
1773.53335 7.86974 (177*2π)/1841 weeks
17811.08499 -15.28709 (178*2π)/1841 weeks
179-20.11609 14.42606 (179*2π)/1841 weeks
1806.24883 3.5697 (180*2π)/1841 weeks
18114.62537 38.04455 (181*2π)/1841 weeks
18216.89094 -81.90221 (182*2π)/1841 weeks

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