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Fourier Analysis of IBCP (Independent Bank Corporation)


IBCP (Independent Bank Corporation) appears to have interesting cyclic behaviour every 19 weeks (.5307*sine), 21 weeks (.5257*sine), and 24 weeks (.4531*sine).

IBCP (Independent Bank Corporation) has an average price of 8.4 (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 2/2/2010 to 1/9/2017 for IBCP (Independent Bank Corporation), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
08.40498   0 
11.42089 -6.66203 (1*2π)/363363 weeks
21.45158 -1.11776 (2*2π)/363182 weeks
3.461 -1.7092 (3*2π)/363121 weeks
4.58241 -.56348 (4*2π)/36391 weeks
5.87357 -.76497 (5*2π)/36373 weeks
6.5314 -.48398 (6*2π)/36361 weeks
7.45576 -.10119 (7*2π)/36352 weeks
8-.08792 -.35244 (8*2π)/36345 weeks
9.0815 -.17049 (9*2π)/36340 weeks
10-.30086 -.22138 (10*2π)/36336 weeks
11-.04123 -.43587 (11*2π)/36333 weeks
12-.12513 -.37826 (12*2π)/36330 weeks
13.01912 -.37165 (13*2π)/36328 weeks
14-.11954 -.26784 (14*2π)/36326 weeks
15-.13523 -.45308 (15*2π)/36324 weeks
16-.09811 -.18308 (16*2π)/36323 weeks
17-.13861 -.52567 (17*2π)/36321 weeks
18.03326 -.33951 (18*2π)/36320 weeks
19-.03421 -.53074 (19*2π)/36319 weeks
20.0756 -.36018 (20*2π)/36318 weeks
21.01492 -.47712 (21*2π)/36317 weeks
22.03872 -.27577 (22*2π)/36317 weeks
23-.00368 -.272 (23*2π)/36316 weeks
24.03068 -.30222 (24*2π)/36315 weeks
25.01529 -.25196 (25*2π)/36315 weeks
26-.04558 -.25227 (26*2π)/36314 weeks
27-.01588 -.22592 (27*2π)/36313 weeks
28.05239 -.13244 (28*2π)/36313 weeks
29-.01672 -.02539 (29*2π)/36313 weeks
30.02876 -.0981 (30*2π)/36312 weeks
31-.08189 -.08326 (31*2π)/36312 weeks
32-.0874 -.11929 (32*2π)/36311 weeks
33-.04364 -.14306 (33*2π)/36311 weeks
34-.0777 -.13039 (34*2π)/36311 weeks
35-.01616 -.13115 (35*2π)/36310 weeks
36-.15142 -.10211 (36*2π)/36310 weeks
37.01056 -.07987 (37*2π)/36310 weeks
38-.10192 -.13419 (38*2π)/36310 weeks
39-.03331 -.08839 (39*2π)/3639 weeks
40-.06936 -.11627 (40*2π)/3639 weeks
41-.09273 -.04364 (41*2π)/3639 weeks
42-.02392 -.08254 (42*2π)/3639 weeks
43-.08128 -.02977 (43*2π)/3638 weeks
44.00053 -.06753 (44*2π)/3638 weeks
45-.12379 -.07324 (45*2π)/3638 weeks
46-.05664 -.05409 (46*2π)/3638 weeks
47-.11207 -.05448 (47*2π)/3638 weeks
48-.04597 -.098 (48*2π)/3638 weeks
49-.12335 -.09353 (49*2π)/3637 weeks
50-.14403 -.10483 (50*2π)/3637 weeks
51-.10796 -.12166 (51*2π)/3637 weeks
52-.14374 -.14968 (52*2π)/3637 weeks
53-.01633 -.1137 (53*2π)/3637 weeks
54-.07395 -.18018 (54*2π)/3637 weeks
55-.06699 -.11686 (55*2π)/3637 weeks
56-.05649 -.15356 (56*2π)/3636 weeks
57-.00198 -.11726 (57*2π)/3636 weeks
58-.02421 -.14924 (58*2π)/3636 weeks
59.03517 -.10362 (59*2π)/3636 weeks
60.0137 -.10142 (60*2π)/3636 weeks
61-.03745 -.0361 (61*2π)/3636 weeks
62-.00594 -.03923 (62*2π)/3636 weeks
63-.03072 -.01562 (63*2π)/3636 weeks
64-.01288 -.04359 (64*2π)/3636 weeks
65-.02206 -.0258 (65*2π)/3636 weeks
66.03059 -.03487 (66*2π)/3636 weeks
67-.03828 -.01774 (67*2π)/3635 weeks
68-.00677 -.03435 (68*2π)/3635 weeks
69-.05751 -.00743 (69*2π)/3635 weeks
70-.08306 .00998 (70*2π)/3635 weeks
71-.03629 -.02962 (71*2π)/3635 weeks
72-.0322 -.04923 (72*2π)/3635 weeks
73-.06793 -.03283 (73*2π)/3635 weeks
74-.04212 -.06251 (74*2π)/3635 weeks
75-.07179 .01432 (75*2π)/3635 weeks
76-.06086 -.02321 (76*2π)/3635 weeks
77-.07742 -.02354 (77*2π)/3635 weeks
78-.04365 -.04883 (78*2π)/3635 weeks
79-.07067 -.06996 (79*2π)/3635 weeks
80-.05696 -.08358 (80*2π)/3635 weeks
81-.04825 -.06599 (81*2π)/3634 weeks
82-.07911 -.05824 (82*2π)/3634 weeks
83-.06838 -.03832 (83*2π)/3634 weeks
84-.05566 -.05812 (84*2π)/3634 weeks
85-.06262 -.04533 (85*2π)/3634 weeks
86-.05978 -.09054 (86*2π)/3634 weeks
87-.02921 -.08858 (87*2π)/3634 weeks
88-.06223 -.10805 (88*2π)/3634 weeks
89-.05256 -.03722 (89*2π)/3634 weeks
90-.04206 -.04951 (90*2π)/3634 weeks
91-.03078 -.05322 (91*2π)/3634 weeks
92-.04909 -.06361 (92*2π)/3634 weeks
93-.01169 -.10799 (93*2π)/3634 weeks
94-.02965 -.0729 (94*2π)/3634 weeks
95-.01949 -.05684 (95*2π)/3634 weeks
96-.00512 -.06436 (96*2π)/3634 weeks
97-.01852 -.03723 (97*2π)/3634 weeks
98-.03131 -.02164 (98*2π)/3634 weeks
99-.04641 -.01554 (99*2π)/3634 weeks
100-.01719 -.00369 (100*2π)/3634 weeks
101-.05503 -.0158 (101*2π)/3634 weeks
102-.03719 -.03635 (102*2π)/3634 weeks
103-.04945 .03341 (103*2π)/3634 weeks
104-.01993 .01964 (104*2π)/3633 weeks
105-.03391 .01158 (105*2π)/3633 weeks
106-.0377 .0015 (106*2π)/3633 weeks
107-.07639 .01623 (107*2π)/3633 weeks
108-.07427 .00542 (108*2π)/3633 weeks
109-.07495 -.0181 (109*2π)/3633 weeks
110-.06421 .0151 (110*2π)/3633 weeks
111-.05943 -.04436 (111*2π)/3633 weeks
112-.08032 -.00544 (112*2π)/3633 weeks
113-.04848 -.01685 (113*2π)/3633 weeks
114-.08828 -.02652 (114*2π)/3633 weeks
115-.05125 -.04896 (115*2π)/3633 weeks
116-.06473 -.06359 (116*2π)/3633 weeks
117-.04771 -.05875 (117*2π)/3633 weeks
118-.05531 -.06587 (118*2π)/3633 weeks
119-.01717 -.04004 (119*2π)/3633 weeks
120-.03742 -.03114 (120*2π)/3633 weeks
121-.0081 -.04098 (121*2π)/3633 weeks
122-.01334 -.04832 (122*2π)/3633 weeks
123-.05155 -.04799 (123*2π)/3633 weeks
124-.00039 -.04 (124*2π)/3633 weeks
125-.05241 -.07132 (125*2π)/3633 weeks
126-.01072 -.01764 (126*2π)/3633 weeks
127-.04101 -.04261 (127*2π)/3633 weeks
128-.00474 -.02586 (128*2π)/3633 weeks
129-.03583 -.04181 (129*2π)/3633 weeks
130-.03798 -.06041 (130*2π)/3633 weeks
131-.03134 -.03495 (131*2π)/3633 weeks
132-.01578 -.03456 (132*2π)/3633 weeks
133-.00824 -.0236 (133*2π)/3633 weeks
134-.03409 -.02218 (134*2π)/3633 weeks
135-.03067 -.00006 (135*2π)/3633 weeks
136-.04775 .00995 (136*2π)/3633 weeks
137-.01287 -.0081 (137*2π)/3633 weeks
138-.04355 .01822 (138*2π)/3633 weeks
139-.0351 -.02963 (139*2π)/3633 weeks
140-.06862 -.00424 (140*2π)/3633 weeks
141-.0563 -.01492 (141*2π)/3633 weeks
142-.05186 .00148 (142*2π)/3633 weeks
143-.04808 -.01663 (143*2π)/3633 weeks
144-.05273 -.00665 (144*2π)/3633 weeks
145-.08517 -.00147 (145*2π)/3633 weeks
146-.06021 -.01656 (146*2π)/3632 weeks
147-.05848 -.00243 (147*2π)/3632 weeks
148-.06443 -.04339 (148*2π)/3632 weeks
149-.06196 .01623 (149*2π)/3632 weeks
150-.07082 -.04443 (150*2π)/3632 weeks
151-.06576 .00455 (151*2π)/3632 weeks
152-.06269 -.062 (152*2π)/3632 weeks
153-.05364 -.01189 (153*2π)/3632 weeks
154-.05027 -.02102 (154*2π)/3632 weeks
155-.02894 -.03249 (155*2π)/3632 weeks
156-.03788 -.02473 (156*2π)/3632 weeks
157-.01975 -.03375 (157*2π)/3632 weeks
158-.03474 -.0136 (158*2π)/3632 weeks
159-.01606 -.02956 (159*2π)/3632 weeks
160-.0445 .00002 (160*2π)/3632 weeks
161-.00792 .00562 (161*2π)/3632 weeks
162-.02803 -.0161 (162*2π)/3632 weeks
163-.02053 .02889 (163*2π)/3632 weeks
164.002 -.0184 (164*2π)/3632 weeks
165-.03363 -.00714 (165*2π)/3632 weeks
166-.0186 -.01268 (166*2π)/3632 weeks
167-.05325 .00831 (167*2π)/3632 weeks
168-.03711 -.00166 (168*2π)/3632 weeks
169-.03522 .02939 (169*2π)/3632 weeks
170-.03574 .00528 (170*2π)/3632 weeks
171-.0298 .04628 (171*2π)/3632 weeks
172-.01056 .00292 (172*2π)/3632 weeks
173-.03309 .04332 (173*2π)/3632 weeks
174-.02205 -.00617 (174*2π)/3632 weeks
175-.02275 .0162 (175*2π)/3632 weeks
176-.05946 .00672 (176*2π)/3632 weeks
177-.0416 .03753 (177*2π)/3632 weeks
178-.03901 .00774 (178*2π)/3632 weeks
179-.04193 .01452 (179*2π)/3632 weeks
180-.05115 -.00697 (180*2π)/3632 weeks
181-.03608 .00821 (181*2π)/3632 weeks
182-.03608 -.00821 (182*2π)/3632 weeks
183-.05115 .00697 (183*2π)/3632 weeks
184-.04193 -.01452 (184*2π)/3632 weeks
185-.03901 -.00774 (185*2π)/3632 weeks
186-.0416 -.03753 (186*2π)/3632 weeks
187-.05946 -.00672 (187*2π)/3632 weeks
188-.02275 -.0162 (188*2π)/3632 weeks
189-.02205 .00617 (189*2π)/3632 weeks
190-.03309 -.04332 (190*2π)/3632 weeks
191-.01056 -.00292 (191*2π)/3632 weeks
192-.0298 -.04628 (192*2π)/3632 weeks
193-.03574 -.00528 (193*2π)/3632 weeks
194-.03522 -.02939 (194*2π)/3632 weeks
195-.03711 .00166 (195*2π)/3632 weeks
196-.05325 -.00831 (196*2π)/3632 weeks
197-.0186 .01268 (197*2π)/3632 weeks
198-.03363 .00714 (198*2π)/3632 weeks
199.002 .0184 (199*2π)/3632 weeks
200-.02053 -.02889 (200*2π)/3632 weeks
201-.02803 .0161 (201*2π)/3632 weeks
202-.00792 -.00562 (202*2π)/3632 weeks
203-.0445 -.00002 (203*2π)/3632 weeks
204-.01606 .02956 (204*2π)/3632 weeks
205-.03474 .0136 (205*2π)/3632 weeks
206-.01975 .03375 (206*2π)/3632 weeks
207-.03788 .02473 (207*2π)/3632 weeks
208-.02894 .03249 (208*2π)/3632 weeks
209-.05027 .02102 (209*2π)/3632 weeks
210-.05364 .01189 (210*2π)/3632 weeks
211-.06269 .062 (211*2π)/3632 weeks
212-.06576 -.00455 (212*2π)/3632 weeks
213-.07082 .04443 (213*2π)/3632 weeks
214-.06196 -.01623 (214*2π)/3632 weeks
215-.06443 .04339 (215*2π)/3632 weeks
216-.05848 .00243 (216*2π)/3632 weeks
217-.06021 .01656 (217*2π)/3632 weeks
218-.08517 .00147 (218*2π)/3632 weeks
219-.05273 .00665 (219*2π)/3632 weeks
220-.04808 .01663 (220*2π)/3632 weeks
221-.05186 -.00148 (221*2π)/3632 weeks
222-.0563 .01492 (222*2π)/3632 weeks
223-.06862 .00424 (223*2π)/3632 weeks
224-.0351 .02963 (224*2π)/3632 weeks
225-.04355 -.01822 (225*2π)/3632 weeks
226-.01287 .0081 (226*2π)/3632 weeks
227-.04775 -.00995 (227*2π)/3632 weeks
228-.03067 .00006 (228*2π)/3632 weeks
229-.03409 .02218 (229*2π)/3632 weeks
230-.00824 .0236 (230*2π)/3632 weeks
231-.01578 .03456 (231*2π)/3632 weeks
232-.03134 .03495 (232*2π)/3632 weeks
233-.03798 .06041 (233*2π)/3632 weeks
234-.03583 .04181 (234*2π)/3632 weeks
235-.00474 .02586 (235*2π)/3632 weeks
236-.04101 .04261 (236*2π)/3632 weeks
237-.01072 .01764 (237*2π)/3632 weeks
238-.05241 .07132 (238*2π)/3632 weeks
239-.00039 .04 (239*2π)/3632 weeks
240-.05155 .04799 (240*2π)/3632 weeks
241-.01334 .04832 (241*2π)/3632 weeks
242-.0081 .04098 (242*2π)/3632 weeks
243-.03742 .03114 (243*2π)/3631 weeks
244-.01717 .04004 (244*2π)/3631 weeks
245-.05531 .06587 (245*2π)/3631 weeks
246-.04771 .05875 (246*2π)/3631 weeks
247-.06473 .06359 (247*2π)/3631 weeks
248-.05125 .04896 (248*2π)/3631 weeks
249-.08828 .02652 (249*2π)/3631 weeks
250-.04848 .01685 (250*2π)/3631 weeks
251-.08032 .00544 (251*2π)/3631 weeks
252-.05943 .04436 (252*2π)/3631 weeks
253-.06421 -.0151 (253*2π)/3631 weeks
254-.07495 .0181 (254*2π)/3631 weeks
255-.07427 -.00542 (255*2π)/3631 weeks
256-.07639 -.01623 (256*2π)/3631 weeks
257-.0377 -.0015 (257*2π)/3631 weeks
258-.03391 -.01158 (258*2π)/3631 weeks
259-.01993 -.01964 (259*2π)/3631 weeks
260-.04945 -.03341 (260*2π)/3631 weeks
261-.03719 .03635 (261*2π)/3631 weeks
262-.05503 .0158 (262*2π)/3631 weeks
263-.01719 .00369 (263*2π)/3631 weeks
264-.04641 .01554 (264*2π)/3631 weeks
265-.03131 .02164 (265*2π)/3631 weeks
266-.01852 .03723 (266*2π)/3631 weeks
267-.00512 .06436 (267*2π)/3631 weeks
268-.01949 .05684 (268*2π)/3631 weeks
269-.02965 .0729 (269*2π)/3631 weeks
270-.01169 .10799 (270*2π)/3631 weeks
271-.04909 .06361 (271*2π)/3631 weeks
272-.03078 .05322 (272*2π)/3631 weeks
273-.04206 .04951 (273*2π)/3631 weeks
274-.05256 .03722 (274*2π)/3631 weeks
275-.06223 .10805 (275*2π)/3631 weeks
276-.02921 .08858 (276*2π)/3631 weeks
277-.05978 .09054 (277*2π)/3631 weeks
278-.06262 .04533 (278*2π)/3631 weeks
279-.05566 .05812 (279*2π)/3631 weeks
280-.06838 .03832 (280*2π)/3631 weeks
281-.07911 .05824 (281*2π)/3631 weeks
282-.04825 .06599 (282*2π)/3631 weeks
283-.05696 .08358 (283*2π)/3631 weeks
284-.07067 .06996 (284*2π)/3631 weeks
285-.04365 .04883 (285*2π)/3631 weeks
286-.07742 .02354 (286*2π)/3631 weeks
287-.06086 .02321 (287*2π)/3631 weeks
288-.07179 -.01432 (288*2π)/3631 weeks
289-.04212 .06251 (289*2π)/3631 weeks
290-.06793 .03283 (290*2π)/3631 weeks
291-.0322 .04923 (291*2π)/3631 weeks
292-.03629 .02962 (292*2π)/3631 weeks
293-.08306 -.00998 (293*2π)/3631 weeks
294-.05751 .00743 (294*2π)/3631 weeks
295-.00677 .03435 (295*2π)/3631 weeks
296-.03828 .01774 (296*2π)/3631 weeks
297.03059 .03487 (297*2π)/3631 weeks
298-.02206 .0258 (298*2π)/3631 weeks
299-.01288 .04359 (299*2π)/3631 weeks
300-.03072 .01562 (300*2π)/3631 weeks
301-.00594 .03923 (301*2π)/3631 weeks
302-.03745 .0361 (302*2π)/3631 weeks
303.0137 .10142 (303*2π)/3631 weeks
304.03517 .10362 (304*2π)/3631 weeks
305-.02421 .14924 (305*2π)/3631 weeks
306-.00198 .11726 (306*2π)/3631 weeks
307-.05649 .15356 (307*2π)/3631 weeks
308-.06699 .11686 (308*2π)/3631 weeks
309-.07395 .18018 (309*2π)/3631 weeks
310-.01633 .1137 (310*2π)/3631 weeks
311-.14374 .14968 (311*2π)/3631 weeks
312-.10796 .12166 (312*2π)/3631 weeks
313-.14403 .10483 (313*2π)/3631 weeks
314-.12335 .09353 (314*2π)/3631 weeks
315-.04597 .098 (315*2π)/3631 weeks
316-.11207 .05448 (316*2π)/3631 weeks
317-.05664 .05409 (317*2π)/3631 weeks
318-.12379 .07324 (318*2π)/3631 weeks
319.00053 .06753 (319*2π)/3631 weeks
320-.08128 .02977 (320*2π)/3631 weeks
321-.02392 .08254 (321*2π)/3631 weeks
322-.09273 .04364 (322*2π)/3631 weeks
323-.06936 .11627 (323*2π)/3631 weeks
324-.03331 .08839 (324*2π)/3631 weeks
325-.10192 .13419 (325*2π)/3631 weeks
326.01056 .07987 (326*2π)/3631 weeks
327-.15142 .10211 (327*2π)/3631 weeks
328-.01616 .13115 (328*2π)/3631 weeks
329-.0777 .13039 (329*2π)/3631 weeks
330-.04364 .14306 (330*2π)/3631 weeks
331-.0874 .11929 (331*2π)/3631 weeks
332-.08189 .08326 (332*2π)/3631 weeks
333.02876 .0981 (333*2π)/3631 weeks
334-.01672 .02539 (334*2π)/3631 weeks
335.05239 .13244 (335*2π)/3631 weeks
336-.01588 .22592 (336*2π)/3631 weeks
337-.04558 .25227 (337*2π)/3631 weeks
338.01529 .25196 (338*2π)/3631 weeks
339.03068 .30222 (339*2π)/3631 weeks
340-.00368 .272 (340*2π)/3631 weeks
341.03872 .27577 (341*2π)/3631 weeks
342.01492 .47712 (342*2π)/3631 weeks
343.0756 .36018 (343*2π)/3631 weeks
344-.03421 .53074 (344*2π)/3631 weeks
345.03326 .33951 (345*2π)/3631 weeks
346-.13861 .52567 (346*2π)/3631 weeks
347-.09811 .18308 (347*2π)/3631 weeks
348-.13523 .45308 (348*2π)/3631 weeks
349-.11954 .26784 (349*2π)/3631 weeks
350.01912 .37165 (350*2π)/3631 weeks
351-.12513 .37826 (351*2π)/3631 weeks
352-.04123 .43587 (352*2π)/3631 weeks
353-.30086 .22138 (353*2π)/3631 weeks
354.0815 .17049 (354*2π)/3631 weeks
355-.08792 .35244 (355*2π)/3631 weeks
356.45576 .10119 (356*2π)/3631 weeks
357.5314 .48398 (357*2π)/3631 weeks
358.87357 .76497 (358*2π)/3631 weeks
359.58241 .56348 (359*2π)/3631 weeks
360.461 1.7092 (360*2π)/3631 weeks
3611.45158 1.11776 (361*2π)/3631 weeks

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