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Fourier Analysis of BOSSY (Hugo Boss AG)


BOSSY (Hugo Boss AG) appears to have interesting cyclic behaviour every 20 weeks (.2172*cosine), 15 weeks (.2147*cosine), and 15 weeks (.1578*sine).

BOSSY (Hugo Boss AG) has an average price of 16.85 (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 2/19/2013 to 10/9/2017 for BOSSY (Hugo Boss AG), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
016.84846   0 
1-.99212 5.03943 (1*2π)/243243 weeks
21.00626 -.50711 (2*2π)/243122 weeks
3-.35818 -.6678 (3*2π)/24381 weeks
4.50306 .22191 (4*2π)/24361 weeks
5-.20558 -.4822 (5*2π)/24349 weeks
6.07268 -.19145 (6*2π)/24341 weeks
7.58637 .04825 (7*2π)/24335 weeks
8-.02117 .20315 (8*2π)/24330 weeks
9.04934 -.24626 (9*2π)/24327 weeks
10.12228 -.18636 (10*2π)/24324 weeks
11.14568 -.06238 (11*2π)/24322 weeks
12-.21721 -.04137 (12*2π)/24320 weeks
13.01942 -.0427 (13*2π)/24319 weeks
14-.03566 -.07177 (14*2π)/24317 weeks
15-.1597 -.06871 (15*2π)/24316 weeks
16.21473 -.15779 (16*2π)/24315 weeks
17-.0382 -.10165 (17*2π)/24314 weeks
18-.13475 .04858 (18*2π)/24314 weeks
19.11569 .1112 (19*2π)/24313 weeks
20-.1068 .04306 (20*2π)/24312 weeks
21.14816 -.09643 (21*2π)/24312 weeks
22-.05519 .05762 (22*2π)/24311 weeks
23.04946 .13519 (23*2π)/24311 weeks
24.14931 .0189 (24*2π)/24310 weeks
25.00719 -.07133 (25*2π)/24310 weeks
26-.14144 -.07313 (26*2π)/2439 weeks
27.06943 .08002 (27*2π)/2439 weeks
28.07179 -.06494 (28*2π)/2439 weeks
29-.05458 .02517 (29*2π)/2438 weeks
30.01229 -.09625 (30*2π)/2438 weeks
31.00465 -.05664 (31*2π)/2438 weeks
32-.0289 .00808 (32*2π)/2438 weeks
33.02245 .02433 (33*2π)/2437 weeks
34.02472 .04542 (34*2π)/2437 weeks
35-.10221 .0255 (35*2π)/2437 weeks
36.00189 -.0397 (36*2π)/2437 weeks
37-.01786 .03955 (37*2π)/2437 weeks
38.07377 .05786 (38*2π)/2436 weeks
39.01284 -.03677 (39*2π)/2436 weeks
40-.01063 .0163 (40*2π)/2436 weeks
41-.00305 .0096 (41*2π)/2436 weeks
42.013 .02454 (42*2π)/2436 weeks
43-.02406 .06967 (43*2π)/2436 weeks
44.06817 -.04656 (44*2π)/2436 weeks
45-.05399 -.06215 (45*2π)/2435 weeks
46.05823 -.0329 (46*2π)/2435 weeks
47.00372 -.0029 (47*2π)/2435 weeks
48.02952 .00581 (48*2π)/2435 weeks
49.03993 .03077 (49*2π)/2435 weeks
50.06656 .01931 (50*2π)/2435 weeks
51-.06962 .02346 (51*2π)/2435 weeks
52-.03892 -.01486 (52*2π)/2435 weeks
53.04832 -.02662 (53*2π)/2435 weeks
54-.10498 -.02051 (54*2π)/2435 weeks
55-.0113 -.03984 (55*2π)/2434 weeks
56.00534 .03181 (56*2π)/2434 weeks
57-.07535 .00882 (57*2π)/2434 weeks
58-.0253 -.07837 (58*2π)/2434 weeks
59.02329 .0263 (59*2π)/2434 weeks
60-.03297 -.0286 (60*2π)/2434 weeks
61-.01832 .06786 (61*2π)/2434 weeks
62-.02722 -.06283 (62*2π)/2434 weeks
63-.00478 .06688 (63*2π)/2434 weeks
64.0281 -.01572 (64*2π)/2434 weeks
65-.01276 -.0607 (65*2π)/2434 weeks
66-.03776 .03215 (66*2π)/2434 weeks
67-.00657 -.03631 (67*2π)/2434 weeks
68-.03221 .03397 (68*2π)/2434 weeks
69.04954 .01524 (69*2π)/2434 weeks
70.01653 -.02323 (70*2π)/2433 weeks
71.00793 -.04968 (71*2π)/2433 weeks
72.03806 -.00274 (72*2π)/2433 weeks
73.0245 .02189 (73*2π)/2433 weeks
74-.03276 -.01321 (74*2π)/2433 weeks
75-.02053 .02918 (75*2π)/2433 weeks
76-.00468 -.06283 (76*2π)/2433 weeks
77-.01167 .02938 (77*2π)/2433 weeks
78.01007 .01192 (78*2π)/2433 weeks
79-.04985 -.05008 (79*2π)/2433 weeks
80.02092 -.00653 (80*2π)/2433 weeks
81-.01744 .0161 (81*2π)/2433 weeks
82-.02187 .07079 (82*2π)/2433 weeks
83.01235 .02264 (83*2π)/2433 weeks
84-.02775 .0556 (84*2π)/2433 weeks
85.00241 -.08323 (85*2π)/2433 weeks
86.00822 .03855 (86*2π)/2433 weeks
87.07659 .01915 (87*2π)/2433 weeks
88-.06913 -.03308 (88*2π)/2433 weeks
89.06438 -.00313 (89*2π)/2433 weeks
90-.01842 -.032 (90*2π)/2433 weeks
91-.02082 -.0086 (91*2π)/2433 weeks
92.03167 .01264 (92*2π)/2433 weeks
93-.01729 -.02877 (93*2π)/2433 weeks
94-.02109 -.00076 (94*2π)/2433 weeks
95.00804 .01072 (95*2π)/2433 weeks
96.03582 .00301 (96*2π)/2433 weeks
97.00077 -.00459 (97*2π)/2433 weeks
98.04163 -.01856 (98*2π)/2432 weeks
99-.0246 -.02435 (99*2π)/2432 weeks
100.02334 .01702 (100*2π)/2432 weeks
101-.03598 -.07886 (101*2π)/2432 weeks
102-.05129 -.01607 (102*2π)/2432 weeks
103.03299 .04447 (103*2π)/2432 weeks
104-.02677 .03144 (104*2π)/2432 weeks
105-.02421 -.00917 (105*2π)/2432 weeks
106.01147 .05696 (106*2π)/2432 weeks
107-.02108 -.01355 (107*2π)/2432 weeks
108.05051 .0406 (108*2π)/2432 weeks
109.01422 .01146 (109*2π)/2432 weeks
110.03123 .01337 (110*2π)/2432 weeks
111.0068 .00616 (111*2π)/2432 weeks
112.00623 -.04508 (112*2π)/2432 weeks
113-.02594 -.01744 (113*2π)/2432 weeks
114.05154 .06828 (114*2π)/2432 weeks
115-.03916 -.01764 (115*2π)/2432 weeks
116-.08935 .00619 (116*2π)/2432 weeks
117.05592 -.00418 (117*2π)/2432 weeks
118-.07032 -.00471 (118*2π)/2432 weeks
119.037 .01048 (119*2π)/2432 weeks
120.01868 -.01628 (120*2π)/2432 weeks
121-.00121 -.02042 (121*2π)/2432 weeks
122-.00121 .02042 (122*2π)/2432 weeks
123.01868 .01628 (123*2π)/2432 weeks
124.037 -.01048 (124*2π)/2432 weeks
125-.07032 .00471 (125*2π)/2432 weeks
126.05592 .00418 (126*2π)/2432 weeks
127-.08935 -.00619 (127*2π)/2432 weeks
128-.03916 .01764 (128*2π)/2432 weeks
129.05154 -.06828 (129*2π)/2432 weeks
130-.02594 .01744 (130*2π)/2432 weeks
131.00623 .04508 (131*2π)/2432 weeks
132.0068 -.00616 (132*2π)/2432 weeks
133.03123 -.01337 (133*2π)/2432 weeks
134.01422 -.01146 (134*2π)/2432 weeks
135.05051 -.0406 (135*2π)/2432 weeks
136-.02108 .01355 (136*2π)/2432 weeks
137.01147 -.05696 (137*2π)/2432 weeks
138-.02421 .00917 (138*2π)/2432 weeks
139-.02677 -.03144 (139*2π)/2432 weeks
140.03299 -.04447 (140*2π)/2432 weeks
141-.05129 .01607 (141*2π)/2432 weeks
142-.03598 .07886 (142*2π)/2432 weeks
143.02334 -.01702 (143*2π)/2432 weeks
144-.0246 .02435 (144*2π)/2432 weeks
145.04163 .01856 (145*2π)/2432 weeks
146.00077 .00459 (146*2π)/2432 weeks
147.03582 -.00301 (147*2π)/2432 weeks
148.00804 -.01072 (148*2π)/2432 weeks
149-.02109 .00076 (149*2π)/2432 weeks
150-.01729 .02877 (150*2π)/2432 weeks
151.03167 -.01264 (151*2π)/2432 weeks
152-.02082 .0086 (152*2π)/2432 weeks
153-.01842 .032 (153*2π)/2432 weeks
154.06438 .00313 (154*2π)/2432 weeks
155-.06913 .03308 (155*2π)/2432 weeks
156.07659 -.01915 (156*2π)/2432 weeks
157.00822 -.03855 (157*2π)/2432 weeks
158.00241 .08323 (158*2π)/2432 weeks
159-.02775 -.0556 (159*2π)/2432 weeks
160.01235 -.02264 (160*2π)/2432 weeks
161-.02187 -.07079 (161*2π)/2432 weeks
162-.01744 -.0161 (162*2π)/2432 weeks
163.02092 .00653 (163*2π)/2431 weeks
164-.04985 .05008 (164*2π)/2431 weeks
165.01007 -.01192 (165*2π)/2431 weeks
166-.01167 -.02938 (166*2π)/2431 weeks
167-.00468 .06283 (167*2π)/2431 weeks
168-.02053 -.02918 (168*2π)/2431 weeks
169-.03276 .01321 (169*2π)/2431 weeks
170.0245 -.02189 (170*2π)/2431 weeks
171.03806 .00274 (171*2π)/2431 weeks
172.00793 .04968 (172*2π)/2431 weeks
173.01653 .02323 (173*2π)/2431 weeks
174.04954 -.01524 (174*2π)/2431 weeks
175-.03221 -.03397 (175*2π)/2431 weeks
176-.00657 .03631 (176*2π)/2431 weeks
177-.03776 -.03215 (177*2π)/2431 weeks
178-.01276 .0607 (178*2π)/2431 weeks
179.0281 .01572 (179*2π)/2431 weeks
180-.00478 -.06688 (180*2π)/2431 weeks
181-.02722 .06283 (181*2π)/2431 weeks
182-.01832 -.06786 (182*2π)/2431 weeks
183-.03297 .0286 (183*2π)/2431 weeks
184.02329 -.0263 (184*2π)/2431 weeks
185-.0253 .07837 (185*2π)/2431 weeks
186-.07535 -.00882 (186*2π)/2431 weeks
187.00534 -.03181 (187*2π)/2431 weeks
188-.0113 .03984 (188*2π)/2431 weeks
189-.10498 .02051 (189*2π)/2431 weeks
190.04832 .02662 (190*2π)/2431 weeks
191-.03892 .01486 (191*2π)/2431 weeks
192-.06962 -.02346 (192*2π)/2431 weeks
193.06656 -.01931 (193*2π)/2431 weeks
194.03993 -.03077 (194*2π)/2431 weeks
195.02952 -.00581 (195*2π)/2431 weeks
196.00372 .0029 (196*2π)/2431 weeks
197.05823 .0329 (197*2π)/2431 weeks
198-.05399 .06215 (198*2π)/2431 weeks
199.06817 .04656 (199*2π)/2431 weeks
200-.02406 -.06967 (200*2π)/2431 weeks
201.013 -.02454 (201*2π)/2431 weeks
202-.00305 -.0096 (202*2π)/2431 weeks
203-.01063 -.0163 (203*2π)/2431 weeks
204.01284 .03677 (204*2π)/2431 weeks
205.07377 -.05786 (205*2π)/2431 weeks
206-.01786 -.03955 (206*2π)/2431 weeks
207.00189 .0397 (207*2π)/2431 weeks
208-.10221 -.0255 (208*2π)/2431 weeks
209.02472 -.04542 (209*2π)/2431 weeks
210.02245 -.02433 (210*2π)/2431 weeks
211-.0289 -.00808 (211*2π)/2431 weeks
212.00465 .05664 (212*2π)/2431 weeks
213.01229 .09625 (213*2π)/2431 weeks
214-.05458 -.02517 (214*2π)/2431 weeks
215.07179 .06494 (215*2π)/2431 weeks
216.06943 -.08002 (216*2π)/2431 weeks
217-.14144 .07313 (217*2π)/2431 weeks
218.00719 .07133 (218*2π)/2431 weeks
219.14931 -.0189 (219*2π)/2431 weeks
220.04946 -.13519 (220*2π)/2431 weeks
221-.05519 -.05762 (221*2π)/2431 weeks
222.14816 .09643 (222*2π)/2431 weeks
223-.1068 -.04306 (223*2π)/2431 weeks
224.11569 -.1112 (224*2π)/2431 weeks
225-.13475 -.04858 (225*2π)/2431 weeks
226-.0382 .10165 (226*2π)/2431 weeks
227.21473 .15779 (227*2π)/2431 weeks
228-.1597 .06871 (228*2π)/2431 weeks
229-.03566 .07177 (229*2π)/2431 weeks
230.01942 .0427 (230*2π)/2431 weeks
231-.21721 .04137 (231*2π)/2431 weeks
232.14568 .06238 (232*2π)/2431 weeks
233.12228 .18636 (233*2π)/2431 weeks
234.04934 .24626 (234*2π)/2431 weeks
235-.02117 -.20315 (235*2π)/2431 weeks
236.58637 -.04825 (236*2π)/2431 weeks
237.07268 .19145 (237*2π)/2431 weeks
238-.20558 .4822 (238*2π)/2431 weeks
239.50306 -.22191 (239*2π)/2431 weeks
240-.35818 .6678 (240*2π)/2431 weeks
2411.00626 .50711 (241*2π)/2431 weeks



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