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# Fourier Analysis of BOSSY (Hugo Boss AG)

BOSSY (Hugo Boss AG) appears to have interesting cyclic behaviour every 15 weeks (.2972*cosine), 27 weeks (.2877*sine), and 13 weeks (.1905*cosine).

BOSSY (Hugo Boss AG) has an average price of 16.91 (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 2/19/2013 to 4/16/2018 for BOSSY (Hugo Boss AG), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
016.91292   0
1.7954 4.57001 (1*2π)/270270 weeks
2.17258 -1.77247 (2*2π)/270135 weeks
3-.78272 -.24993 (3*2π)/27090 weeks
4.32584 -.47014 (4*2π)/27068 weeks
5-.42214 .2125 (5*2π)/27054 weeks
6.12727 -.31352 (6*2π)/27045 weeks
7.09589 -.29998 (7*2π)/27039 weeks
8.4189 .22469 (8*2π)/27034 weeks
9-.04184 .1374 (9*2π)/27030 weeks
10.02974 -.28767 (10*2π)/27027 weeks
11.00203 -.23121 (11*2π)/27025 weeks
12-.02586 -.06588 (12*2π)/27023 weeks
13-.20216 .21139 (13*2π)/27021 weeks
14-.02731 -.01073 (14*2π)/27019 weeks
15-.02155 .09356 (15*2π)/27018 weeks
16.05164 .07394 (16*2π)/27017 weeks
17-.03361 -.12412 (17*2π)/27016 weeks
18.29723 .00204 (18*2π)/27015 weeks
19.09918 -.12802 (19*2π)/27014 weeks
20-.05367 .01114 (20*2π)/27014 weeks
21.19053 .02096 (21*2π)/27013 weeks
22-.02459 .01224 (22*2π)/27012 weeks
23.03924 -.20555 (23*2π)/27012 weeks
24.07127 .06126 (24*2π)/27011 weeks
25.05002 -.08455 (25*2π)/27011 weeks
26-.10205 -.00522 (26*2π)/27010 weeks
27.0359 .1413 (27*2π)/27010 weeks
28.08493 -.00976 (28*2π)/27010 weeks
29-.07241 -.12718 (29*2π)/2709 weeks
30.08381 .04029 (30*2π)/2709 weeks
31.04363 -.116 (31*2π)/2709 weeks
32-.0436 .01402 (32*2π)/2708 weeks
33-.07069 -.08751 (33*2π)/2708 weeks
34-.00658 -.00469 (34*2π)/2708 weeks
35.05226 .0178 (35*2π)/2708 weeks
36.02323 -.02754 (36*2π)/2708 weeks
37.02601 .01624 (37*2π)/2707 weeks
38.03578 .05285 (38*2π)/2707 weeks
39-.06551 -.01076 (39*2π)/2707 weeks
40.03021 -.05743 (40*2π)/2707 weeks
41.02878 .0064 (41*2π)/2707 weeks
42.09025 -.05303 (42*2π)/2706 weeks
43-.04825 -.06383 (43*2π)/2706 weeks
44-.00599 -.01409 (44*2π)/2706 weeks
45-.02769 -.02808 (45*2π)/2706 weeks
46-.02966 -.02129 (46*2π)/2706 weeks
47-.02843 .01392 (47*2π)/2706 weeks
48-.08872 .05143 (48*2π)/2706 weeks
49.05914 -.00125 (49*2π)/2706 weeks
50-.04992 -.05405 (50*2π)/2705 weeks
51.04648 -.04229 (51*2π)/2705 weeks
52.00382 .00387 (52*2π)/2705 weeks
53.02184 -.01248 (53*2π)/2705 weeks
54.01909 -.00399 (54*2π)/2705 weeks
55-.01379 .01519 (55*2π)/2705 weeks
56.01149 .10508 (56*2π)/2705 weeks
57-.03968 .01346 (57*2π)/2705 weeks
58-.02222 -.01037 (58*2π)/2705 weeks
59.06576 .0009 (59*2π)/2705 weeks
60-.08095 -.02042 (60*2π)/2705 weeks
61.00098 -.03643 (61*2π)/2704 weeks
62.03615 .01222 (62*2π)/2704 weeks
63-.02765 .02142 (63*2π)/2704 weeks
64-.03493 -.06194 (64*2π)/2704 weeks
65.06081 -.06602 (65*2π)/2704 weeks
66-.00561 -.00976 (66*2π)/2704 weeks
67.01141 -.07344 (67*2π)/2704 weeks
68-.06606 .00881 (68*2π)/2704 weeks
69-.03047 -.08976 (69*2π)/2704 weeks
70-.02944 .03709 (70*2π)/2704 weeks
71-.00984 -.0481 (71*2π)/2704 weeks
72-.07152 -.0434 (72*2π)/2704 weeks
73-.01214 .03332 (73*2π)/2704 weeks
74-.04925 -.02866 (74*2π)/2704 weeks
75.0076 -.00644 (75*2π)/2704 weeks
76-.06162 -.04164 (76*2π)/2704 weeks
77-.0353 .04466 (77*2π)/2704 weeks
78-.00595 .01861 (78*2π)/2703 weeks
79.00595 -.02072 (79*2π)/2703 weeks
80.02873 .01986 (80*2π)/2703 weeks
81.0217 .03727 (81*2π)/2703 weeks
82-.03031 .0322 (82*2π)/2703 weeks
83.02166 .03411 (83*2π)/2703 weeks
84-.02716 -.01394 (84*2π)/2703 weeks
85.06524 -.00197 (85*2π)/2703 weeks
86.0006 -.01635 (86*2π)/2703 weeks
87-.00128 .01353 (87*2π)/2703 weeks
88-.01195 -.07679 (88*2π)/2703 weeks
89.01278 -.01871 (89*2π)/2703 weeks
90-.02473 .01026 (90*2π)/2703 weeks
91-.00239 .06729 (91*2π)/2703 weeks
92.01479 -.00044 (92*2π)/2703 weeks
93.00497 .02324 (93*2π)/2703 weeks
94-.06895 -.0509 (94*2π)/2703 weeks
95.05652 -.02766 (95*2π)/2703 weeks
96-.02378 -.03027 (96*2π)/2703 weeks
97.01517 .06596 (97*2π)/2703 weeks
98-.0431 -.0643 (98*2π)/2703 weeks
99.04381 .00625 (99*2π)/2703 weeks
100-.02814 -.03514 (100*2π)/2703 weeks
101-.02777 -.00047 (101*2π)/2703 weeks
102.02272 -.00522 (102*2π)/2703 weeks
103-.03299 .0072 (103*2π)/2703 weeks
104.0148 .0085 (104*2π)/2703 weeks
105.01581 -.03017 (105*2π)/2703 weeks
106-.0068 -.02469 (106*2π)/2703 weeks
107.00754 .00917 (107*2π)/2703 weeks
108-.00848 -.01428 (108*2π)/2703 weeks
109.03061 -.01387 (109*2π)/2702 weeks
110-.03871 -.02884 (110*2π)/2702 weeks
111.00359 .0087 (111*2π)/2702 weeks
112-.082 -.01952 (112*2π)/2702 weeks
113.00154 .04831 (113*2π)/2702 weeks
114.07497 -.01517 (114*2π)/2702 weeks
115.01857 .02534 (115*2π)/2702 weeks
116-.00887 -.01301 (116*2π)/2702 weeks
117.00656 -.0513 (117*2π)/2702 weeks
118-.02573 .02193 (118*2π)/2702 weeks
119-.02753 -.03739 (119*2π)/2702 weeks
120.03303 .02037 (120*2π)/2702 weeks
121-.00361 -.01073 (121*2π)/2702 weeks
122-.00017 -.01904 (122*2π)/2702 weeks
123-.0348 -.00404 (123*2π)/2702 weeks
124-.05911 -.00365 (124*2π)/2702 weeks
125.00015 .0225 (125*2π)/2702 weeks
126.01348 -.03446 (126*2π)/2702 weeks
127-.03097 .08482 (127*2π)/2702 weeks
128-.02724 -.00285 (128*2π)/2702 weeks
129-.10321 -.00327 (129*2π)/2702 weeks
130.03431 .01851 (130*2π)/2702 weeks
131-.06586 .04048 (131*2π)/2702 weeks
132.04588 .00296 (132*2π)/2702 weeks
133.00599 .00129 (133*2π)/2702 weeks
134.01445 .01784 (134*2π)/2702 weeks
135.04978   (135*2π)/2702 weeks
136.01445 -.01784 (136*2π)/2702 weeks
137.00599 -.00129 (137*2π)/2702 weeks
138.04588 -.00296 (138*2π)/2702 weeks
139-.06586 -.04048 (139*2π)/2702 weeks
140.03431 -.01851 (140*2π)/2702 weeks
141-.10321 .00327 (141*2π)/2702 weeks
142-.02724 .00285 (142*2π)/2702 weeks
143-.03097 -.08482 (143*2π)/2702 weeks
144.01348 .03446 (144*2π)/2702 weeks
145.00015 -.0225 (145*2π)/2702 weeks
146-.05911 .00365 (146*2π)/2702 weeks
147-.0348 .00404 (147*2π)/2702 weeks
148-.00017 .01904 (148*2π)/2702 weeks
149-.00361 .01073 (149*2π)/2702 weeks
150.03303 -.02037 (150*2π)/2702 weeks
151-.02753 .03739 (151*2π)/2702 weeks
152-.02573 -.02193 (152*2π)/2702 weeks
153.00656 .0513 (153*2π)/2702 weeks
154-.00887 .01301 (154*2π)/2702 weeks
155.01857 -.02534 (155*2π)/2702 weeks
156.07497 .01517 (156*2π)/2702 weeks
157.00154 -.04831 (157*2π)/2702 weeks
158-.082 .01952 (158*2π)/2702 weeks
159.00359 -.0087 (159*2π)/2702 weeks
160-.03871 .02884 (160*2π)/2702 weeks
161.03061 .01387 (161*2π)/2702 weeks
162-.00848 .01428 (162*2π)/2702 weeks
163.00754 -.00917 (163*2π)/2702 weeks
164-.0068 .02469 (164*2π)/2702 weeks
165.01581 .03017 (165*2π)/2702 weeks
166.0148 -.0085 (166*2π)/2702 weeks
167-.03299 -.0072 (167*2π)/2702 weeks
168.02272 .00522 (168*2π)/2702 weeks
169-.02777 .00047 (169*2π)/2702 weeks
170-.02814 .03514 (170*2π)/2702 weeks
171.04381 -.00625 (171*2π)/2702 weeks
172-.0431 .0643 (172*2π)/2702 weeks
173.01517 -.06596 (173*2π)/2702 weeks
174-.02378 .03027 (174*2π)/2702 weeks
175.05652 .02766 (175*2π)/2702 weeks
176-.06895 .0509 (176*2π)/2702 weeks
177.00497 -.02324 (177*2π)/2702 weeks
178.01479 .00044 (178*2π)/2702 weeks
179-.00239 -.06729 (179*2π)/2702 weeks
180-.02473 -.01026 (180*2π)/2702 weeks
181.01278 .01871 (181*2π)/2701 weeks
182-.01195 .07679 (182*2π)/2701 weeks
183-.00128 -.01353 (183*2π)/2701 weeks
184.0006 .01635 (184*2π)/2701 weeks
185.06524 .00197 (185*2π)/2701 weeks
186-.02716 .01394 (186*2π)/2701 weeks
187.02166 -.03411 (187*2π)/2701 weeks
188-.03031 -.0322 (188*2π)/2701 weeks
189.0217 -.03727 (189*2π)/2701 weeks
190.02873 -.01986 (190*2π)/2701 weeks
191.00595 .02072 (191*2π)/2701 weeks
192-.00595 -.01861 (192*2π)/2701 weeks
193-.0353 -.04466 (193*2π)/2701 weeks
194-.06162 .04164 (194*2π)/2701 weeks
195.0076 .00644 (195*2π)/2701 weeks
196-.04925 .02866 (196*2π)/2701 weeks
197-.01214 -.03332 (197*2π)/2701 weeks
198-.07152 .0434 (198*2π)/2701 weeks
199-.00984 .0481 (199*2π)/2701 weeks
200-.02944 -.03709 (200*2π)/2701 weeks
201-.03047 .08976 (201*2π)/2701 weeks
202-.06606 -.00881 (202*2π)/2701 weeks
203.01141 .07344 (203*2π)/2701 weeks
204-.00561 .00976 (204*2π)/2701 weeks
205.06081 .06602 (205*2π)/2701 weeks
206-.03493 .06194 (206*2π)/2701 weeks
207-.02765 -.02142 (207*2π)/2701 weeks
208.03615 -.01222 (208*2π)/2701 weeks
209.00098 .03643 (209*2π)/2701 weeks
210-.08095 .02042 (210*2π)/2701 weeks
211.06576 -.0009 (211*2π)/2701 weeks
212-.02222 .01037 (212*2π)/2701 weeks
213-.03968 -.01346 (213*2π)/2701 weeks
214.01149 -.10508 (214*2π)/2701 weeks
215-.01379 -.01519 (215*2π)/2701 weeks
216.01909 .00399 (216*2π)/2701 weeks
217.02184 .01248 (217*2π)/2701 weeks
218.00382 -.00387 (218*2π)/2701 weeks
219.04648 .04229 (219*2π)/2701 weeks
220-.04992 .05405 (220*2π)/2701 weeks
221.05914 .00125 (221*2π)/2701 weeks
222-.08872 -.05143 (222*2π)/2701 weeks
223-.02843 -.01392 (223*2π)/2701 weeks
224-.02966 .02129 (224*2π)/2701 weeks
225-.02769 .02808 (225*2π)/2701 weeks
226-.00599 .01409 (226*2π)/2701 weeks
227-.04825 .06383 (227*2π)/2701 weeks
228.09025 .05303 (228*2π)/2701 weeks
229.02878 -.0064 (229*2π)/2701 weeks
230.03021 .05743 (230*2π)/2701 weeks
231-.06551 .01076 (231*2π)/2701 weeks
232.03578 -.05285 (232*2π)/2701 weeks
233.02601 -.01624 (233*2π)/2701 weeks
234.02323 .02754 (234*2π)/2701 weeks
235.05226 -.0178 (235*2π)/2701 weeks
236-.00658 .00469 (236*2π)/2701 weeks
237-.07069 .08751 (237*2π)/2701 weeks
238-.0436 -.01402 (238*2π)/2701 weeks
239.04363 .116 (239*2π)/2701 weeks
240.08381 -.04029 (240*2π)/2701 weeks
241-.07241 .12718 (241*2π)/2701 weeks
242.08493 .00976 (242*2π)/2701 weeks
243.0359 -.1413 (243*2π)/2701 weeks
244-.10205 .00522 (244*2π)/2701 weeks
245.05002 .08455 (245*2π)/2701 weeks
246.07127 -.06126 (246*2π)/2701 weeks
247.03924 .20555 (247*2π)/2701 weeks
248-.02459 -.01224 (248*2π)/2701 weeks
249.19053 -.02096 (249*2π)/2701 weeks
250-.05367 -.01114 (250*2π)/2701 weeks
251.09918 .12802 (251*2π)/2701 weeks
252.29723 -.00204 (252*2π)/2701 weeks
253-.03361 .12412 (253*2π)/2701 weeks
254.05164 -.07394 (254*2π)/2701 weeks
255-.02155 -.09356 (255*2π)/2701 weeks
256-.02731 .01073 (256*2π)/2701 weeks
257-.20216 -.21139 (257*2π)/2701 weeks
258-.02586 .06588 (258*2π)/2701 weeks
259.00203 .23121 (259*2π)/2701 weeks
260.02974 .28767 (260*2π)/2701 weeks
261-.04184 -.1374 (261*2π)/2701 weeks
262.4189 -.22469 (262*2π)/2701 weeks
263.09589 .29998 (263*2π)/2701 weeks
264.12727 .31352 (264*2π)/2701 weeks
265-.42214 -.2125 (265*2π)/2701 weeks
266.32584 .47014 (266*2π)/2701 weeks
267-.78272 .24993 (267*2π)/2701 weeks
268.17258 1.77247 (268*2π)/2701 weeks