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Fourier Analysis of WRCDF (WIRECARD AG)


WRCDF (WIRECARD AG) appears to have interesting cyclic behaviour every 17 weeks (1.303*sine), 21 weeks (.8495*sine), and 15 weeks (.8198*cosine).

WRCDF (WIRECARD AG) has an average price of 38.47 (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 8/3/2012 to 1/17/2017 for WRCDF (WIRECARD AG), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
038.46927   0 
1-4.30724 -7.25805 (1*2π)/234234 weeks
2-1.34043 -5.51182 (2*2π)/234117 weeks
31.38572 -2.52271 (3*2π)/23478 weeks
4-.64224 -1.38909 (4*2π)/23459 weeks
5-.57669 -3.73615 (5*2π)/23447 weeks
6-1.97063 -.3463 (6*2π)/23439 weeks
7.16174 -.49293 (7*2π)/23433 weeks
8-.22889 -.7455 (8*2π)/23429 weeks
9-.20011 -.91768 (9*2π)/23426 weeks
10-.77703 -.13164 (10*2π)/23423 weeks
11-.10034 -.84947 (11*2π)/23421 weeks
12.18675 .07651 (12*2π)/23420 weeks
13.25964 -.09402 (13*2π)/23418 weeks
14.50647 -1.30301 (14*2π)/23417 weeks
15.05804 -.70155 (15*2π)/23416 weeks
16-.81984 -.62397 (16*2π)/23415 weeks
17.0675 -.20179 (17*2π)/23414 weeks
18-.01873 -.17101 (18*2π)/23413 weeks
19-.05032 -.60285 (19*2π)/23412 weeks
20-.36897 -.329 (20*2π)/23412 weeks
21.29011 -.64708 (21*2π)/23411 weeks
22-.36028 -.2896 (22*2π)/23411 weeks
23.23357 -.00147 (23*2π)/23410 weeks
24.08277 -.31173 (24*2π)/23410 weeks
25.03496 -.43899 (25*2π)/2349 weeks
26.03736 -.41528 (26*2π)/2349 weeks
27-.05349 -.23435 (27*2π)/2349 weeks
28.10178 -.43655 (28*2π)/2348 weeks
29-.11595 -.33835 (29*2π)/2348 weeks
30-.21468 -.40951 (30*2π)/2348 weeks
31-.14447 -.20991 (31*2π)/2348 weeks
32.06936 -.21001 (32*2π)/2347 weeks
33-.03447 -.21825 (33*2π)/2347 weeks
34-.16074 -.34876 (34*2π)/2347 weeks
35-.14552 -.11368 (35*2π)/2347 weeks
36-.193 -.35896 (36*2π)/2347 weeks
37-.03776 -.18749 (37*2π)/2346 weeks
38-.28408 -.28907 (38*2π)/2346 weeks
39.01024 -.12037 (39*2π)/2346 weeks
40-.14389 -.22051 (40*2π)/2346 weeks
41-.13659 -.19036 (41*2π)/2346 weeks
42-.19659 -.19484 (42*2π)/2346 weeks
43-.06785 .10482 (43*2π)/2345 weeks
44.06525 -.15345 (44*2π)/2345 weeks
45-.14121 -.39558 (45*2π)/2345 weeks
46-.22273 -.21628 (46*2π)/2345 weeks
47-.16849 -.2029 (47*2π)/2345 weeks
48-.16972 -.33445 (48*2π)/2345 weeks
49-.11985 .21388 (49*2π)/2345 weeks
50-.02378 -.18461 (50*2π)/2345 weeks
51-.14182 -.33632 (51*2π)/2345 weeks
52-.09819 -.01485 (52*2π)/2345 weeks
53-.04384 .05069 (53*2π)/2344 weeks
54.09322 -.1996 (54*2π)/2344 weeks
55-.03478 -.15247 (55*2π)/2344 weeks
56-.12052 -.26589 (56*2π)/2344 weeks
57-.15923 -.1977 (57*2π)/2344 weeks
58-.07608 -.12343 (58*2π)/2344 weeks
59-.17266 -.20875 (59*2π)/2344 weeks
60-.23647 -.12885 (60*2π)/2344 weeks
61-.06978 -.01731 (61*2π)/2344 weeks
62-.04732 -.15826 (62*2π)/2344 weeks
63-.16878 -.05386 (63*2π)/2344 weeks
64-.08969 -.00289 (64*2π)/2344 weeks
65-.19359 -.10762 (65*2π)/2344 weeks
66-.03362 -.11904 (66*2π)/2344 weeks
67-.0523 -.21284 (67*2π)/2343 weeks
68-.11221 -.03047 (68*2π)/2343 weeks
69-.16156 -.08153 (69*2π)/2343 weeks
70-.00393 .07073 (70*2π)/2343 weeks
71.10496 -.02705 (71*2π)/2343 weeks
72-.04957 -.2755 (72*2π)/2343 weeks
73-.22769 -.34721 (73*2π)/2343 weeks
74-.23312 -.06578 (74*2π)/2343 weeks
75-.16295 .0354 (75*2π)/2343 weeks
76-.04411 -.11281 (76*2π)/2343 weeks
77.03453 -.14535 (77*2π)/2343 weeks
78-.11926 -.14392 (78*2π)/2343 weeks
79-.08608 -.04601 (79*2π)/2343 weeks
80-.04494 -.22786 (80*2π)/2343 weeks
81-.17668 -.13734 (81*2π)/2343 weeks
82-.04763 -.02084 (82*2π)/2343 weeks
83-.23956 -.1604 (83*2π)/2343 weeks
84-.20731 -.06426 (84*2π)/2343 weeks
85-.12762 -.00753 (85*2π)/2343 weeks
86-.17001 -.03741 (86*2π)/2343 weeks
87-.15146 -.04254 (87*2π)/2343 weeks
88-.09163 -.09022 (88*2π)/2343 weeks
89-.16351 .05554 (89*2π)/2343 weeks
90-.11438 -.06349 (90*2π)/2343 weeks
91-.02856 -.02434 (91*2π)/2343 weeks
92-.128 -.01466 (92*2π)/2343 weeks
93-.20926 -.07995 (93*2π)/2343 weeks
94-.07086 .03441 (94*2π)/2342 weeks
95-.0493 -.07781 (95*2π)/2342 weeks
96-.18777 -.0551 (96*2π)/2342 weeks
97-.11685 -.00906 (97*2π)/2342 weeks
98-.02429 -.01647 (98*2π)/2342 weeks
99-.17751 -.03384 (99*2π)/2342 weeks
100-.06788 -.01379 (100*2π)/2342 weeks
101-.15028 -.03159 (101*2π)/2342 weeks
102.02096 -.16787 (102*2π)/2342 weeks
103-.21072 -.1503 (103*2π)/2342 weeks
104-.25059 -.10445 (104*2π)/2342 weeks
105-.10321 .08744 (105*2π)/2342 weeks
106-.20444 -.10328 (106*2π)/2342 weeks
107-.22531 -.12007 (107*2π)/2342 weeks
108-.11637 .10891 (108*2π)/2342 weeks
109.01072 -.06854 (109*2π)/2342 weeks
110-.09799 -.09535 (110*2π)/2342 weeks
111-.15685 -.10405 (111*2π)/2342 weeks
112-.28018 .07461 (112*2π)/2342 weeks
113-.0915 .02623 (113*2π)/2342 weeks
114-.1628 .02673 (114*2π)/2342 weeks
115-.04397 -.07299 (115*2π)/2342 weeks
116-.12055 .00564 (116*2π)/2342 weeks
117-.27777   (117*2π)/2342 weeks
118-.12055 -.00564 (118*2π)/2342 weeks
119-.04397 .07299 (119*2π)/2342 weeks
120-.1628 -.02673 (120*2π)/2342 weeks
121-.0915 -.02623 (121*2π)/2342 weeks
122-.28018 -.07461 (122*2π)/2342 weeks
123-.15685 .10405 (123*2π)/2342 weeks
124-.09799 .09535 (124*2π)/2342 weeks
125.01072 .06854 (125*2π)/2342 weeks
126-.11637 -.10891 (126*2π)/2342 weeks
127-.22531 .12007 (127*2π)/2342 weeks
128-.20444 .10328 (128*2π)/2342 weeks
129-.10321 -.08744 (129*2π)/2342 weeks
130-.25059 .10445 (130*2π)/2342 weeks
131-.21072 .1503 (131*2π)/2342 weeks
132.02096 .16787 (132*2π)/2342 weeks
133-.15028 .03159 (133*2π)/2342 weeks
134-.06788 .01379 (134*2π)/2342 weeks
135-.17751 .03384 (135*2π)/2342 weeks
136-.02429 .01647 (136*2π)/2342 weeks
137-.11685 .00906 (137*2π)/2342 weeks
138-.18777 .0551 (138*2π)/2342 weeks
139-.0493 .07781 (139*2π)/2342 weeks
140-.07086 -.03441 (140*2π)/2342 weeks
141-.20926 .07995 (141*2π)/2342 weeks
142-.128 .01466 (142*2π)/2342 weeks
143-.02856 .02434 (143*2π)/2342 weeks
144-.11438 .06349 (144*2π)/2342 weeks
145-.16351 -.05554 (145*2π)/2342 weeks
146-.09163 .09022 (146*2π)/2342 weeks
147-.15146 .04254 (147*2π)/2342 weeks
148-.17001 .03741 (148*2π)/2342 weeks
149-.12762 .00753 (149*2π)/2342 weeks
150-.20731 .06426 (150*2π)/2342 weeks
151-.23956 .1604 (151*2π)/2342 weeks
152-.04763 .02084 (152*2π)/2342 weeks
153-.17668 .13734 (153*2π)/2342 weeks
154-.04494 .22786 (154*2π)/2342 weeks
155-.08608 .04601 (155*2π)/2342 weeks
156-.11926 .14392 (156*2π)/2342 weeks
157.03453 .14535 (157*2π)/2341 weeks
158-.04411 .11281 (158*2π)/2341 weeks
159-.16295 -.0354 (159*2π)/2341 weeks
160-.23312 .06578 (160*2π)/2341 weeks
161-.22769 .34721 (161*2π)/2341 weeks
162-.04957 .2755 (162*2π)/2341 weeks
163.10496 .02705 (163*2π)/2341 weeks
164-.00393 -.07073 (164*2π)/2341 weeks
165-.16156 .08153 (165*2π)/2341 weeks
166-.11221 .03047 (166*2π)/2341 weeks
167-.0523 .21284 (167*2π)/2341 weeks
168-.03362 .11904 (168*2π)/2341 weeks
169-.19359 .10762 (169*2π)/2341 weeks
170-.08969 .00289 (170*2π)/2341 weeks
171-.16878 .05386 (171*2π)/2341 weeks
172-.04732 .15826 (172*2π)/2341 weeks
173-.06978 .01731 (173*2π)/2341 weeks
174-.23647 .12885 (174*2π)/2341 weeks
175-.17266 .20875 (175*2π)/2341 weeks
176-.07608 .12343 (176*2π)/2341 weeks
177-.15923 .1977 (177*2π)/2341 weeks
178-.12052 .26589 (178*2π)/2341 weeks
179-.03478 .15247 (179*2π)/2341 weeks
180.09322 .1996 (180*2π)/2341 weeks
181-.04384 -.05069 (181*2π)/2341 weeks
182-.09819 .01485 (182*2π)/2341 weeks
183-.14182 .33632 (183*2π)/2341 weeks
184-.02378 .18461 (184*2π)/2341 weeks
185-.11985 -.21388 (185*2π)/2341 weeks
186-.16972 .33445 (186*2π)/2341 weeks
187-.16849 .2029 (187*2π)/2341 weeks
188-.22273 .21628 (188*2π)/2341 weeks
189-.14121 .39558 (189*2π)/2341 weeks
190.06525 .15345 (190*2π)/2341 weeks
191-.06785 -.10482 (191*2π)/2341 weeks
192-.19659 .19484 (192*2π)/2341 weeks
193-.13659 .19036 (193*2π)/2341 weeks
194-.14389 .22051 (194*2π)/2341 weeks
195.01024 .12037 (195*2π)/2341 weeks
196-.28408 .28907 (196*2π)/2341 weeks
197-.03776 .18749 (197*2π)/2341 weeks
198-.193 .35896 (198*2π)/2341 weeks
199-.14552 .11368 (199*2π)/2341 weeks
200-.16074 .34876 (200*2π)/2341 weeks
201-.03447 .21825 (201*2π)/2341 weeks
202.06936 .21001 (202*2π)/2341 weeks
203-.14447 .20991 (203*2π)/2341 weeks
204-.21468 .40951 (204*2π)/2341 weeks
205-.11595 .33835 (205*2π)/2341 weeks
206.10178 .43655 (206*2π)/2341 weeks
207-.05349 .23435 (207*2π)/2341 weeks
208.03736 .41528 (208*2π)/2341 weeks
209.03496 .43899 (209*2π)/2341 weeks
210.08277 .31173 (210*2π)/2341 weeks
211.23357 .00147 (211*2π)/2341 weeks
212-.36028 .2896 (212*2π)/2341 weeks
213.29011 .64708 (213*2π)/2341 weeks
214-.36897 .329 (214*2π)/2341 weeks
215-.05032 .60285 (215*2π)/2341 weeks
216-.01873 .17101 (216*2π)/2341 weeks
217.0675 .20179 (217*2π)/2341 weeks
218-.81984 .62397 (218*2π)/2341 weeks
219.05804 .70155 (219*2π)/2341 weeks
220.50647 1.30301 (220*2π)/2341 weeks
221.25964 .09402 (221*2π)/2341 weeks
222.18675 -.07651 (222*2π)/2341 weeks
223-.10034 .84947 (223*2π)/2341 weeks
224-.77703 .13164 (224*2π)/2341 weeks
225-.20011 .91768 (225*2π)/2341 weeks
226-.22889 .7455 (226*2π)/2341 weeks
227.16174 .49293 (227*2π)/2341 weeks
228-1.97063 .3463 (228*2π)/2341 weeks
229-.57669 3.73615 (229*2π)/2341 weeks
230-.64224 1.38909 (230*2π)/2341 weeks
2311.38572 2.52271 (231*2π)/2341 weeks
232-1.34043 5.51182 (232*2π)/2341 weeks

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