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# Fourier Analysis of KATE (Kate Spade & Company Common Sto)

KATE (Kate Spade & Company Common Sto) appears to have interesting cyclic behaviour every 170 weeks (1.4574*cosine), 156 weeks (1.0956*sine), and 187 weeks (.8511*sine).

KATE (Kate Spade & Company Common Sto) has an average price of 16.47 (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.

## Fourier Analysis

Using data from 6/9/1981 to 3/20/2017 for KATE (Kate Spade & Company Common Sto), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
016.4716   0
1-6.11717 -7.28554 (1*2π)/18671,867 weeks
2-.30377 1.98085 (2*2π)/1867934 weeks
35.14049 -5.17021 (3*2π)/1867622 weeks
4-.84368 -6.97298 (4*2π)/1867467 weeks
5-4.22118 -1.17042 (5*2π)/1867373 weeks
6-1.05131 -1.5605 (6*2π)/1867311 weeks
71.34094 .4362 (7*2π)/1867267 weeks
8-1.77739 -.4183 (8*2π)/1867233 weeks
9-.99499 .46459 (9*2π)/1867207 weeks
10-.07281 .85108 (10*2π)/1867187 weeks
111.45739 -.556 (11*2π)/1867170 weeks
12.27059 -1.09565 (12*2π)/1867156 weeks
13.20768 -.32937 (13*2π)/1867144 weeks
14.51174 .16175 (14*2π)/1867133 weeks
15.41164 -.95312 (15*2π)/1867124 weeks
16-.61772 -.8855 (16*2π)/1867117 weeks
17-.04746 -.76088 (17*2π)/1867110 weeks
18.20423 -.31285 (18*2π)/1867104 weeks
19-.12435 -.27646 (19*2π)/186798 weeks
20-.50845 .33385 (20*2π)/186793 weeks
21.35757 -.58532 (21*2π)/186789 weeks
22.16387 -.44256 (22*2π)/186785 weeks
23-.60328 -.21595 (23*2π)/186781 weeks
24.2091 -.26086 (24*2π)/186778 weeks
25.12973 -.25907 (25*2π)/186775 weeks
26-.45233 .02323 (26*2π)/186772 weeks
27-.36411 -.3871 (27*2π)/186769 weeks
28-.00645 .15416 (28*2π)/186767 weeks
29.32896 -.24825 (29*2π)/186764 weeks
30-.0369 -.27452 (30*2π)/186762 weeks
31-.28851 .20553 (31*2π)/186760 weeks
32-.01756 .19559 (32*2π)/186758 weeks
33-.1517 .10783 (33*2π)/186757 weeks
34.27222 -.05425 (34*2π)/186755 weeks
35.10717 -.09275 (35*2π)/186753 weeks
36.75651 .01463 (36*2π)/186752 weeks
37.27216 .03323 (37*2π)/186750 weeks
38.23507 -.19403 (38*2π)/186749 weeks
39-.15999 -.63273 (39*2π)/186748 weeks
40.25404 -.16265 (40*2π)/186747 weeks
41.02922 -.18277 (41*2π)/186746 weeks
42.01694 -.4405 (42*2π)/186744 weeks
43.0042 -.36569 (43*2π)/186743 weeks
44-.07004 -.10444 (44*2π)/186742 weeks
45-.08908 .18543 (45*2π)/186741 weeks
46.17173 -.39954 (46*2π)/186741 weeks
47-.09435 -.25602 (47*2π)/186740 weeks
48-.10156 .07226 (48*2π)/186739 weeks
49.09658 .31427 (49*2π)/186738 weeks
50.10785 -.52667 (50*2π)/186737 weeks
51.0977 .01158 (51*2π)/186737 weeks
52.19268 .00942 (52*2π)/186736 weeks
53.3315 -.35518 (53*2π)/186735 weeks
54-.18938 -.12237 (54*2π)/186735 weeks
55.28168 -.21027 (55*2π)/186734 weeks
56-.03462 -.4343 (56*2π)/186733 weeks
57.02666 -.30715 (57*2π)/186733 weeks
58-.24269 -.23247 (58*2π)/186732 weeks
59.01929 -.12873 (59*2π)/186732 weeks
60-.23367 -.08909 (60*2π)/186731 weeks
61-.18299 .00919 (61*2π)/186731 weeks
62-.06504 .02386 (62*2π)/186730 weeks
63.19625 -.17186 (63*2π)/186730 weeks
64-.05015 .04058 (64*2π)/186729 weeks
65.04039 -.11539 (65*2π)/186729 weeks
66-.108 .06482 (66*2π)/186728 weeks
67.19 -.05404 (67*2π)/186728 weeks
68.11964 -.15578 (68*2π)/186727 weeks
69-.12804 -.33196 (69*2π)/186727 weeks
70.0237 .15255 (70*2π)/186727 weeks
71.08365 .02247 (71*2π)/186726 weeks
72.29305 -.1008 (72*2π)/186726 weeks
73-.10733 -.2306 (73*2π)/186726 weeks
74.04131 -.1503 (74*2π)/186725 weeks
75.18425 -.03337 (75*2π)/186725 weeks
76.03014 -.12683 (76*2π)/186725 weeks
77.07128 -.09771 (77*2π)/186724 weeks
78.06197 -.11585 (78*2π)/186724 weeks
79.02724 -.15028 (79*2π)/186724 weeks
80.23476 -.3237 (80*2π)/186723 weeks
81-.08839 -.28515 (81*2π)/186723 weeks
82.00644 .02892 (82*2π)/186723 weeks
83-.14704 -.3744 (83*2π)/186722 weeks
84-.08318 .02096 (84*2π)/186722 weeks
85-.06151 -.20005 (85*2π)/186722 weeks
86.00722 -.12957 (86*2π)/186722 weeks
87.00274 -.14714 (87*2π)/186721 weeks
88.00002 .00598 (88*2π)/186721 weeks
89-.08635 -.2055 (89*2π)/186721 weeks
90-.20259 -.06961 (90*2π)/186721 weeks
91-.00983 .00621 (91*2π)/186721 weeks
92.05742 .02699 (92*2π)/186720 weeks
93.03961 -.11956 (93*2π)/186720 weeks
94-.07059 -.10792 (94*2π)/186720 weeks
95.04219 .04105 (95*2π)/186720 weeks
96.06054 -.19499 (96*2π)/186719 weeks
97-.03242 -.10328 (97*2π)/186719 weeks
98-.06331 -.23028 (98*2π)/186719 weeks
99-.08241 .0339 (99*2π)/186719 weeks
100-.06749 -.07172 (100*2π)/186719 weeks
101.05108 .00628 (101*2π)/186718 weeks
102-.1203 -.17121 (102*2π)/186718 weeks
103-.01602 .12314 (103*2π)/186718 weeks
104-.03571 -.02887 (104*2π)/186718 weeks
105.177 .03844 (105*2π)/186718 weeks
106-.01799 -.12129 (106*2π)/186718 weeks
107.17741 .02694 (107*2π)/186717 weeks
108.04839 -.11078 (108*2π)/186717 weeks
109.16859 -.10022 (109*2π)/186717 weeks
110.00322 -.29057 (110*2π)/186717 weeks
111-.08195 -.29181 (111*2π)/186717 weeks
112-.0725 .00536 (112*2π)/186717 weeks
113-.07703 -.14502 (113*2π)/186717 weeks
114.01505 -.04074 (114*2π)/186716 weeks
115-.12392 -.10618 (115*2π)/186716 weeks
116-.12055 .03647 (116*2π)/186716 weeks
117.0723 -.03285 (117*2π)/186716 weeks
118.16936 -.04407 (118*2π)/186716 weeks
119-.07248 -.17812 (119*2π)/186716 weeks
120-.0192 -.07173 (120*2π)/186716 weeks
121-.03354 -.14033 (121*2π)/186715 weeks
122.08241 -.09043 (122*2π)/186715 weeks
123-.18024 -.17044 (123*2π)/186715 weeks
124-.07403 .01983 (124*2π)/186715 weeks
125-.01533 -.08356 (125*2π)/186715 weeks
126.02758 -.06965 (126*2π)/186715 weeks
127-.08985 -.03134 (127*2π)/186715 weeks
128.00202 -.00625 (128*2π)/186715 weeks
129-.07797 -.01922 (129*2π)/186714 weeks
130.04992 -.07117 (130*2π)/186714 weeks
131-.01687 -.16905 (131*2π)/186714 weeks
132-.0027 .04435 (132*2π)/186714 weeks
133-.03275 -.02921 (133*2π)/186714 weeks
134-.07613 -.14146 (134*2π)/186714 weeks
135-.07489 .00245 (135*2π)/186714 weeks
136-.01147 -.08791 (136*2π)/186714 weeks
137-.01784 .06823 (137*2π)/186714 weeks
138.01996 -.01738 (138*2π)/186714 weeks
139.03235 .04919 (139*2π)/186713 weeks
140.11275 -.1131 (140*2π)/186713 weeks
141-.07668 -.14051 (141*2π)/186713 weeks
142.05841 -.01169 (142*2π)/186713 weeks
143.03406 -.14368 (143*2π)/186713 weeks
144-.02556 -.04628 (144*2π)/186713 weeks
145-.08594 -.11389 (145*2π)/186713 weeks
146-.03212 .01934 (146*2π)/186713 weeks
147.04291 -.0942 (147*2π)/186713 weeks
148-.09318 -.01535 (148*2π)/186713 weeks
149.03442 -.04208 (149*2π)/186713 weeks
150-.00577 -.0225 (150*2π)/186712 weeks
151.06676 -.02904 (151*2π)/186712 weeks
152-.02351 -.12196 (152*2π)/186712 weeks
153-.02348 -.02892 (153*2π)/186712 weeks
154.08167 -.09124 (154*2π)/186712 weeks
155-.04178 -.12978 (155*2π)/186712 weeks
156-.00483 -.08359 (156*2π)/186712 weeks
157-.12942 -.08129 (157*2π)/186712 weeks
158.05644 -.04767 (158*2π)/186712 weeks
159-.0859 -.04911 (159*2π)/186712 weeks
160-.04691 -.07779 (160*2π)/186712 weeks
161-.11411 .03479 (161*2π)/186712 weeks
162.03806 -.01869 (162*2π)/186712 weeks
163-.00044 .00067 (163*2π)/186711 weeks
164-.02094 .03822 (164*2π)/186711 weeks
165.11281 -.06202 (165*2π)/186711 weeks
166.02822 -.16947 (166*2π)/186711 weeks
167-.02083 -.06145 (167*2π)/186711 weeks
168-.0346 .00183 (168*2π)/186711 weeks
169-.00548 -.14391 (169*2π)/186711 weeks
170-.05619 -.03694 (170*2π)/186711 weeks
171-.04825 -.02041 (171*2π)/186711 weeks
172.04511 -.03713 (172*2π)/186711 weeks
173.03478 -.09106 (173*2π)/186711 weeks
174-.05612 -.04555 (174*2π)/186711 weeks
175-.08194 -.07721 (175*2π)/186711 weeks
176.02722 .03921 (176*2π)/186711 weeks
177.00831 -.202 (177*2π)/186711 weeks
178-.10018 -.04505 (178*2π)/186710 weeks
179.02291 .02667 (179*2π)/186710 weeks
180-.07607 -.0717 (180*2π)/186710 weeks
181-.02837 -.00637 (181*2π)/186710 weeks
182-.05468 -.01678 (182*2π)/186710 weeks
183.00459 .02161 (183*2π)/186710 weeks
184.00607 -.08935 (184*2π)/186710 weeks
185.01227 -.03293 (185*2π)/186710 weeks
186-.01372 -.02505 (186*2π)/186710 weeks
187.03938 .01637 (187*2π)/186710 weeks
188-.00028 -.13333 (188*2π)/186710 weeks
189-.01052 -.10039 (189*2π)/186710 weeks
190-.0834 -.06629 (190*2π)/186710 weeks
191.0487 -.01464 (191*2π)/186710 weeks
192-.11499 -.09664 (192*2π)/186710 weeks
193-.02586 -.01545 (193*2π)/186710 weeks
194-.06479 .01307 (194*2π)/186710 weeks
195-.05254 -.0533 (195*2π)/186710 weeks
196-.02671 .01069 (196*2π)/186710 weeks
197.04435 .00733 (197*2π)/18679 weeks
198-.01976 .01967 (198*2π)/18679 weeks
199.07848 -.02887 (199*2π)/18679 weeks
200-.01667 -.04759 (200*2π)/18679 weeks
201.00236 -.01303 (201*2π)/18679 weeks
202.03307 -.11921 (202*2π)/18679 weeks
203-.01631 -.0497 (203*2π)/18679 weeks
204.01683 -.04637 (204*2π)/18679 weeks
205-.05514 -.07013 (205*2π)/18679 weeks
206-.02313 -.0783 (206*2π)/18679 weeks
207-.03863 -.06383 (207*2π)/18679 weeks
208.01875 -.02106 (208*2π)/18679 weeks
209-.06881 -.04685 (209*2π)/18679 weeks
210-.03789 .05164 (210*2π)/18679 weeks
211.00826 -.01861 (211*2π)/18679 weeks
212.0479 -.08104 (212*2π)/18679 weeks
213.00097 -.097 (213*2π)/18679 weeks
214-.02492 -.04002 (214*2π)/18679 weeks
215-.0222 -.04448 (215*2π)/18679 weeks
216.01724 -.06131 (216*2π)/18679 weeks
217-.13545 -.11371 (217*2π)/18679 weeks
218-.04349 .06292 (218*2π)/18679 weeks
219-.01892 -.09946 (219*2π)/18679 weeks
220-.03043 .02817 (220*2π)/18678 weeks
221-.01846 -.03927 (221*2π)/18678 weeks
222-.00015 .01121 (222*2π)/18678 weeks
223.02614 -.06095 (223*2π)/18678 weeks
224-.01914 -.07943 (224*2π)/18678 weeks
225-.05471 -.0345 (225*2π)/18678 weeks
226.01135 -.03169 (226*2π)/18678 weeks
227-.0057 -.09416 (227*2π)/18678 weeks
228-.08649 -.14685 (228*2π)/18678 weeks
229-.11781 .06515 (229*2π)/18678 weeks
230-.03531 .00953 (230*2π)/18678 weeks
231-.06386 -.04544 (231*2π)/18678 weeks
232-.07337 .00054 (232*2π)/18678 weeks
233.00359 .04559 (233*2π)/18678 weeks
234.02186 .02552 (234*2π)/18678 weeks
235-.00806 -.03969 (235*2π)/18678 weeks
236-.03303 .04549 (236*2π)/18678 weeks
237.03665 .01378 (237*2π)/18678 weeks
238.03658 -.05986 (238*2π)/18678 weeks
239.0022 -.04314 (239*2π)/18678 weeks
240-.01469 -.0382 (240*2π)/18678 weeks
241-.03372 -.04472 (241*2π)/18678 weeks
242.04006 -.03195 (242*2π)/18678 weeks
243-.02726 -.10001 (243*2π)/18678 weeks
244-.03152 .01667 (244*2π)/18678 weeks
245-.01016 -.062 (245*2π)/18678 weeks
246-.03761 -.05588 (246*2π)/18678 weeks
247-.04184 -.04102 (247*2π)/18678 weeks
248-.00145 -.01784 (248*2π)/18678 weeks
249-.05116 -.07454 (249*2π)/18677 weeks
250-.06017 .02563 (250*2π)/18677 weeks
251-.03115 .00703 (251*2π)/18677 weeks
252.02194 -.01519 (252*2π)/18677 weeks
253-.0587 -.02944 (253*2π)/18677 weeks
254-.03414 -.00474 (254*2π)/18677 weeks
255.00553 -.03966 (255*2π)/18677 weeks
256-.00995 .00658 (256*2π)/18677 weeks
257.0091 .00173 (257*2π)/18677 weeks
258-.02576 -.05664 (258*2π)/18677 weeks
259-.01859 -.02373 (259*2π)/18677 weeks
260-.02812 -.06917 (260*2π)/18677 weeks
261-.03617 -.0502 (261*2π)/18677 weeks
262-.01524 .03409 (262*2π)/18677 weeks
263-.04936 -.0479 (263*2π)/18677 weeks
264-.04157 .01114 (264*2π)/18677 weeks
265-.01631 .02513 (265*2π)/18677 weeks
266-.02761 -.02055 (266*2π)/18677 weeks
267-.00139 -.0239 (267*2π)/18677 weeks
268.00819 .04878 (268*2π)/18677 weeks
269.02607 .01037 (269*2π)/18677 weeks
270.00779 -.08034 (270*2π)/18677 weeks
271-.01999 -.03373 (271*2π)/18677 weeks
272-.01824 -.05973 (272*2π)/18677 weeks
273.02407 -.00425 (273*2π)/18677 weeks
274-.03702 -.03924 (274*2π)/18677 weeks
275-.0617 -.02475 (275*2π)/18677 weeks
276-.0309 -.00433 (276*2π)/18677 weeks
277-.00705 .01561 (277*2π)/18677 weeks
278-.02692 -.09977 (278*2π)/18677 weeks
279.00127 -.00935 (279*2π)/18677 weeks
280-.02964 .02331 (280*2π)/18677 weeks
281-.02123 .00351 (281*2π)/18677 weeks
282-.03571 -.02486 (282*2π)/18677 weeks
283-.00067 .00102 (283*2π)/18677 weeks
284.00653 -.02802 (284*2π)/18677 weeks
285.00248 -.01049 (285*2π)/18677 weeks
286-.02509 -.0385 (286*2π)/18677 weeks
287-.01062 -.04253 (287*2π)/18677 weeks
288-.04141 -.01631 (288*2π)/18676 weeks
289-.03657 .0291 (289*2π)/18676 weeks
290.01688 -.05579 (290*2π)/18676 weeks
291-.04162 -.00805 (291*2π)/18676 weeks
292-.05623 .0175 (292*2π)/18676 weeks
293-.0236 -.00067 (293*2π)/18676 weeks
294.00998 -.00278 (294*2π)/18676 weeks
295-.00681 -.03622 (295*2π)/18676 weeks
296-.03242 .04981 (296*2π)/18676 weeks
297.01094 .01357 (297*2π)/18676 weeks
298.05356 .02682 (298*2π)/18676 weeks
299-.02564 -.06397 (299*2π)/18676 weeks
300-.04159 -.01374 (300*2π)/18676 weeks
301.01926 -.00183 (301*2π)/18676 weeks
302.03723 -.00541 (302*2π)/18676 weeks
303-.01976 -.01161 (303*2π)/18676 weeks
304-.02461 -.0189 (304*2π)/18676 weeks
305.01022 .00681 (305*2π)/18676 weeks
306.0554 -.00312 (306*2π)/18676 weeks
307-.0542 -.04242 (307*2π)/18676 weeks
308.03825 .01466 (308*2π)/18676 weeks
309.05257 -.03114 (309*2π)/18676 weeks
310.0191 -.05633 (310*2π)/18676 weeks
311-.05482 -.05604 (311*2π)/18676 weeks
312-.02574 -.00551 (312*2π)/18676 weeks
313.02952 -.03341 (313*2π)/18676 weeks
314-.05978 -.01185 (314*2π)/18676 weeks
315.00436 -.01263 (315*2π)/18676 weeks
316.02211 -.0279 (316*2π)/18676 weeks
317.04315 -.00332 (317*2π)/18676 weeks
318-.03708 -.05822 (318*2π)/18676 weeks
319.00051 .01384 (319*2π)/18676 weeks
320.01052 -.05899 (320*2π)/18676 weeks
321-.01881 -.03222 (321*2π)/18676 weeks
322.01134 -.0418 (322*2π)/18676 weeks
323.01608 -.05775 (323*2π)/18676 weeks
324-.02173 -.01322 (324*2π)/18676 weeks
325-.03539 -.06731 (325*2π)/18676 weeks
326-.0666 -.05178 (326*2π)/18676 weeks
327-.02659 .00711 (327*2π)/18676 weeks
328-.01932 -.02024 (328*2π)/18676 weeks
329-.05905 -.00301 (329*2π)/18676 weeks
330-.03312 .01946 (330*2π)/18676 weeks
331-.00071 .02599 (331*2π)/18676 weeks
332.02349 -.02368 (332*2π)/18676 weeks
333-.01753 -.02872 (333*2π)/18676 weeks
334.00578 .01275 (334*2π)/18676 weeks
335.03011 .00658 (335*2π)/18676 weeks
336-.01012 -.02861 (336*2π)/18676 weeks
337-.00325 -.0516 (337*2π)/18676 weeks
338-.03733 -.03965 (338*2π)/18676 weeks
339.017 -.00226 (339*2π)/18676 weeks
340.02234 -.03286 (340*2π)/18675 weeks
341-.03523 -.01387 (341*2π)/18675 weeks
342-.0024 .02138 (342*2π)/18675 weeks
343-.00777 -.07853 (343*2π)/18675 weeks
344-.0473 -.02868 (344*2π)/18675 weeks
345.04927 -.03453 (345*2π)/18675 weeks
346-.05182 .00746 (346*2π)/18675 weeks
347.0267 -.02661 (347*2π)/18675 weeks
348-.0463 -.00257 (348*2π)/18675 weeks
349-.00342 -.00982 (349*2π)/18675 weeks
350.03102 -.04705 (350*2π)/18675 weeks
351-.05388 -.02868 (351*2π)/18675 weeks
352.03098 -.01214 (352*2π)/18675 weeks
353-.01929 -.02762 (353*2π)/18675 weeks
354.0135 -.00848 (354*2π)/18675 weeks
355-.04656 -.0632 (355*2π)/18675 weeks
356-.00006 -.04154 (356*2π)/18675 weeks
357-.01626 -.02533 (357*2π)/18675 weeks
358-.05042 -.03638 (358*2π)/18675 weeks
359-.02067 .01232 (359*2π)/18675 weeks
360-.05952 -.00508 (360*2π)/18675 weeks
361.00768 .00196 (361*2π)/18675 weeks
362.00541 -.02676 (362*2π)/18675 weeks
363-.0075 -.00661 (363*2π)/18675 weeks
364-.01548 -.00014 (364*2π)/18675 weeks
365.01761 -.01954 (365*2π)/18675 weeks
366-.00851 .01419 (366*2π)/18675 weeks
367-.01761 -.03895 (367*2π)/18675 weeks
368.00458 -.08527 (368*2π)/18675 weeks
369-.01117 .0076 (369*2π)/18675 weeks
370-.04203 .01319 (370*2π)/18675 weeks
371.03024 -.03594 (371*2π)/18675 weeks
372-.0371 -.00699 (372*2π)/18675 weeks
373-.00495 -.0158 (373*2π)/18675 weeks
374-.01522 -.0115 (374*2π)/18675 weeks
375.03624 -.05381 (375*2π)/18675 weeks
376-.00322 -.00682 (376*2π)/18675 weeks
377-.03071 -.05325 (377*2π)/18675 weeks
378-.01224 -.00919 (378*2π)/18675 weeks
379.02207 -.05603 (379*2π)/18675 weeks
380-.0464 -.02083 (380*2π)/18675 weeks
381-.06636 -.01363 (381*2π)/18675 weeks
382-.02236 -.05094 (382*2π)/18675 weeks
383-.01243 -.0124 (383*2π)/18675 weeks
384-.02406 .00449 (384*2π)/18675 weeks
385-.02722 -.00969 (385*2π)/18675 weeks
386.02682 .01345 (386*2π)/18675 weeks
387-.05101 -.0299 (387*2π)/18675 weeks
388-.0182 .00561 (388*2π)/18675 weeks
389.01452 -.0353 (389*2π)/18675 weeks
390-.00647 -.03085 (390*2π)/18675 weeks
391-.03389 .00191 (391*2π)/18675 weeks
392-.01253 -.01042 (392*2π)/18675 weeks
393.00659 -.01543 (393*2π)/18675 weeks
394-.0318 .01745 (394*2π)/18675 weeks
395-.01508 -.03044 (395*2π)/18675 weeks
396.00183 -.01882