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# Fourier Analysis of CHMT (Chemtura Corp. Common Stock)

CHMT (Chemtura Corp. Common Stock) appears to have interesting cyclic behaviour every 33 weeks (.6381*sine), 30 weeks (.6236*sine), and 24 weeks (.5271*cosine).

CHMT (Chemtura Corp. Common Stock) has an average price of 22.69 (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 10/26/2010 to 3/13/2017 for CHMT (Chemtura Corp. Common Stock), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
022.6897   0
1-.63435 -6.43403 (1*2π)/334334 weeks
21.65478 -3.21317 (2*2π)/334167 weeks
3.8556 -.59387 (3*2π)/334111 weeks
4.94763 -1.07643 (4*2π)/33484 weeks
5-.46832 -1.71717 (5*2π)/33467 weeks
6-.57163 -.63664 (6*2π)/33456 weeks
7-.97296 -1.09168 (7*2π)/33448 weeks
8-.21261 -1.6911 (8*2π)/33442 weeks
9.26193 -.39245 (9*2π)/33437 weeks
10.41548 -.63806 (10*2π)/33433 weeks
11-.35728 -.62358 (11*2π)/33430 weeks
12-.31738 -.13521 (12*2π)/33428 weeks
13-.10157 -.09862 (13*2π)/33426 weeks
14.52712 -.47096 (14*2π)/33424 weeks
15-.32733 -.37142 (15*2π)/33422 weeks
16-.52325 -.48937 (16*2π)/33421 weeks
17.09919 -.48205 (17*2π)/33420 weeks
18.16235 -.19262 (18*2π)/33419 weeks
19-.0274 -.2885 (19*2π)/33418 weeks
20.10527 -.46513 (20*2π)/33417 weeks
21-.10831 -.17857 (21*2π)/33416 weeks
22-.15545 -.33141 (22*2π)/33415 weeks
23-.0258 -.26348 (23*2π)/33415 weeks
24-.13268 -.52758 (24*2π)/33414 weeks
25-.01865 -.15886 (25*2π)/33413 weeks
26-.12839 -.33511 (26*2π)/33413 weeks
27-.02521 -.03062 (27*2π)/33412 weeks
28.18033 -.08549 (28*2π)/33412 weeks
29-.17102 -.03261 (29*2π)/33412 weeks
30.06369 -.25082 (30*2π)/33411 weeks
31-.03121 -.13416 (31*2π)/33411 weeks
32-.05653 -.13734 (32*2π)/33410 weeks
33-.05457 -.20944 (33*2π)/33410 weeks
34-.00224 -.4771 (34*2π)/33410 weeks
35-.03445 -.1684 (35*2π)/33410 weeks
36-.13113 -.24925 (36*2π)/3349 weeks
37.00192 -.23956 (37*2π)/3349 weeks
38-.1314 -.03221 (38*2π)/3349 weeks
39-.21658 .03514 (39*2π)/3349 weeks
40.16921 .06828 (40*2π)/3348 weeks
41-.14464 -.2535 (41*2π)/3348 weeks
42-.07688 -.20201 (42*2π)/3348 weeks
43.27281 -.16269 (43*2π)/3348 weeks
44.011 -.26271 (44*2π)/3348 weeks
45.02271 -.17826 (45*2π)/3347 weeks
46-.00022 -.03675 (46*2π)/3347 weeks
47-.01645 -.02027 (47*2π)/3347 weeks
48-.20364 -.05103 (48*2π)/3347 weeks
49-.17271 -.18381 (49*2π)/3347 weeks
50-.01929 -.20171 (50*2π)/3347 weeks
51.02772 -.06304 (51*2π)/3347 weeks
52-.01236 -.0312 (52*2π)/3346 weeks
53-.11159 .05079 (53*2π)/3346 weeks
54-.01568 .0129 (54*2π)/3346 weeks
55-.02643 -.05434 (55*2π)/3346 weeks
56.03 -.1247 (56*2π)/3346 weeks
57-.02698 -.1304 (57*2π)/3346 weeks
58.03817 -.14867 (58*2π)/3346 weeks
59-.14256 -.20235 (59*2π)/3346 weeks
60-.12264 -.13303 (60*2π)/3346 weeks
61-.11501 -.02463 (61*2π)/3345 weeks
62-.08931 -.04812 (62*2π)/3345 weeks
63-.08679 -.05904 (63*2π)/3345 weeks
64.0173 -.15071 (64*2π)/3345 weeks
65-.01257 .01257 (65*2π)/3345 weeks
66-.02207 -.02574 (66*2π)/3345 weeks
67.03279 -.06485 (67*2π)/3345 weeks
68-.00543 -.04655 (68*2π)/3345 weeks
69.00392 -.00976 (69*2π)/3345 weeks
70-.14185 -.14808 (70*2π)/3345 weeks
71-.09162 .0157 (71*2π)/3345 weeks
72-.0362 -.07074 (72*2π)/3345 weeks
73-.01969 -.04388 (73*2π)/3345 weeks
74-.1209 -.07564 (74*2π)/3345 weeks
75.01328 -.15965 (75*2π)/3344 weeks
76-.07322 .01184 (76*2π)/3344 weeks
77-.09008 -.04901 (77*2π)/3344 weeks
78-.00913 -.00644 (78*2π)/3344 weeks
79-.08869 -.04279 (79*2π)/3344 weeks
80-.02514 -.04785 (80*2π)/3344 weeks
81-.14204 .02262 (81*2π)/3344 weeks
82-.00896 .00976 (82*2π)/3344 weeks
83.0347 -.05465 (83*2π)/3344 weeks
84-.10205 -.16794 (84*2π)/3344 weeks
85-.134 -.12634 (85*2π)/3344 weeks
86-.05969 -.02913 (86*2π)/3344 weeks
87-.02707 -.04894 (87*2π)/3344 weeks
88-.04795 .00367 (88*2π)/3344 weeks
89-.05428 -.13963 (89*2π)/3344 weeks
90-.16875 .03597 (90*2π)/3344 weeks
91-.06617 .02756 (91*2π)/3344 weeks
92-.01149 -.02018 (92*2π)/3344 weeks
93.01867 -.05036 (93*2π)/3344 weeks
94-.00597 -.12062 (94*2π)/3344 weeks
95-.03736 -.03939 (95*2π)/3344 weeks
96-.08888 -.06278 (96*2π)/3343 weeks
97-.03597 -.03333 (97*2π)/3343 weeks
98-.07728 -.04546 (98*2π)/3343 weeks
99-.07677 -.07802 (99*2π)/3343 weeks
100.00135 -.04311 (100*2π)/3343 weeks
101-.13627 -.07621 (101*2π)/3343 weeks
102-.08922 -.02001 (102*2π)/3343 weeks
103-.00666 .02755 (103*2π)/3343 weeks
104-.09554 -.02337 (104*2π)/3343 weeks
105.02186 .01264 (105*2π)/3343 weeks
106.0546 -.00447 (106*2π)/3343 weeks
107-.08069 -.03375 (107*2π)/3343 weeks
108-.08967 .01438 (108*2π)/3343 weeks
109-.06919 -.06529 (109*2π)/3343 weeks
110-.10989 -.0051 (110*2π)/3343 weeks
111-.02682 -.09357 (111*2π)/3343 weeks
112-.08798 -.059 (112*2π)/3343 weeks
113-.07881 -.06066 (113*2π)/3343 weeks
114-.01636 .02447 (114*2π)/3343 weeks
115-.06184 -.08656 (115*2π)/3343 weeks
116-.06485 .00674 (116*2π)/3343 weeks
117-.0239 .06474 (117*2π)/3343 weeks
118-.0375 -.0519 (118*2π)/3343 weeks
119-.08615 -.05241 (119*2π)/3343 weeks
120-.04726 -.07401 (120*2π)/3343 weeks
121-.04569 -.04124 (121*2π)/3343 weeks
122-.02083 -.02544 (122*2π)/3343 weeks
123-.02997 .03025 (123*2π)/3343 weeks
124-.02443 .04518 (124*2π)/3343 weeks
125-.06076 -.07715 (125*2π)/3343 weeks
126-.11175 -.01543 (126*2π)/3343 weeks
127-.09261 -.0036 (127*2π)/3343 weeks
128-.01803 -.05473 (128*2π)/3343 weeks
129-.04345 -.04044 (129*2π)/3343 weeks
130-.01351 .01637 (130*2π)/3343 weeks
131-.04355 .06981 (131*2π)/3343 weeks
132-.06562 -.01143 (132*2π)/3343 weeks
133-.08111 -.05482 (133*2π)/3343 weeks
134-.0703 .04495 (134*2π)/3342 weeks
135-.06897 -.00669 (135*2π)/3342 weeks
136-.06015 .00115 (136*2π)/3342 weeks
137-.14887 -.09245 (137*2π)/3342 weeks
138-.01623 -.01362 (138*2π)/3342 weeks
139.03069 .03506 (139*2π)/3342 weeks
140-.0862 -.08817 (140*2π)/3342 weeks
141-.05815 .00107 (141*2π)/3342 weeks
142-.10266 -.02337 (142*2π)/3342 weeks
143-.04798 -.05641 (143*2π)/3342 weeks
144-.07666 .03278 (144*2π)/3342 weeks
145-.1053 -.07268 (145*2π)/3342 weeks
146-.04855 .00897 (146*2π)/3342 weeks
147.03117 .09254 (147*2π)/3342 weeks
148-.00509 -.02142 (148*2π)/3342 weeks
149-.0598 -.02614 (149*2π)/3342 weeks
150-.12059 .04034 (150*2π)/3342 weeks
151-.00579 -.10998 (151*2π)/3342 weeks
152-.09925 -.05971 (152*2π)/3342 weeks
153-.03429 -.02999 (153*2π)/3342 weeks
154-.09206 -.00477 (154*2π)/3342 weeks
155-.04203 .04914 (155*2π)/3342 weeks
156-.04406 .04106 (156*2π)/3342 weeks
157-.04398 .01085 (157*2π)/3342 weeks
158-.08003 -.00764 (158*2π)/3342 weeks
159-.04468 .00203 (159*2π)/3342 weeks
160-.08531 -.02294 (160*2π)/3342 weeks
161-.03722 -.00932 (161*2π)/3342 weeks
162.01169 .00843 (162*2π)/3342 weeks
163-.02091 .01398 (163*2π)/3342 weeks
164-.05224 -.03687 (164*2π)/3342 weeks
165-.12155 -.05996 (165*2π)/3342 weeks
166-.06016 -.00491 (166*2π)/3342 weeks
167-.01509   (167*2π)/3342 weeks
168-.06016 .00491 (168*2π)/3342 weeks
169-.12155 .05996 (169*2π)/3342 weeks
170-.05224 .03687 (170*2π)/3342 weeks
171-.02091 -.01398 (171*2π)/3342 weeks
172.01169 -.00843 (172*2π)/3342 weeks
173-.03722 .00932 (173*2π)/3342 weeks
174-.08531 .02294 (174*2π)/3342 weeks
175-.04468 -.00203 (175*2π)/3342 weeks
176-.08003 .00764 (176*2π)/3342 weeks
177-.04398 -.01085 (177*2π)/3342 weeks
178-.04406 -.04106 (178*2π)/3342 weeks
179-.04203 -.04914 (179*2π)/3342 weeks
180-.09206 .00477 (180*2π)/3342 weeks
181-.03429 .02999 (181*2π)/3342 weeks
182-.09925 .05971 (182*2π)/3342 weeks
183-.00579 .10998 (183*2π)/3342 weeks
184-.12059 -.04034 (184*2π)/3342 weeks
185-.0598 .02614 (185*2π)/3342 weeks
186-.00509 .02142 (186*2π)/3342 weeks
187.03117 -.09254 (187*2π)/3342 weeks
188-.04855 -.00897 (188*2π)/3342 weeks
189-.1053 .07268 (189*2π)/3342 weeks
190-.07666 -.03278 (190*2π)/3342 weeks
191-.04798 .05641 (191*2π)/3342 weeks
192-.10266 .02337 (192*2π)/3342 weeks
193-.05815 -.00107 (193*2π)/3342 weeks
194-.0862 .08817 (194*2π)/3342 weeks
195.03069 -.03506 (195*2π)/3342 weeks
196-.01623 .01362 (196*2π)/3342 weeks
197-.14887 .09245 (197*2π)/3342 weeks
198-.06015 -.00115 (198*2π)/3342 weeks
199-.06897 .00669 (199*2π)/3342 weeks
200-.0703 -.04495 (200*2π)/3342 weeks
201-.08111 .05482 (201*2π)/3342 weeks
202-.06562 .01143 (202*2π)/3342 weeks
203-.04355 -.06981 (203*2π)/3342 weeks
204-.01351 -.01637 (204*2π)/3342 weeks
205-.04345 .04044 (205*2π)/3342 weeks
206-.01803 .05473 (206*2π)/3342 weeks
207-.09261 .0036 (207*2π)/3342 weeks
208-.11175 .01543 (208*2π)/3342 weeks
209-.06076 .07715 (209*2π)/3342 weeks
210-.02443 -.04518 (210*2π)/3342 weeks
211-.02997 -.03025 (211*2π)/3342 weeks
212-.02083 .02544 (212*2π)/3342 weeks
213-.04569 .04124 (213*2π)/3342 weeks
214-.04726 .07401 (214*2π)/3342 weeks
215-.08615 .05241 (215*2π)/3342 weeks
216-.0375 .0519 (216*2π)/3342 weeks
217-.0239 -.06474 (217*2π)/3342 weeks
218-.06485 -.00674 (218*2π)/3342 weeks
219-.06184 .08656 (219*2π)/3342 weeks
220-.01636 -.02447 (220*2π)/3342 weeks
221-.07881 .06066 (221*2π)/3342 weeks
222-.08798 .059 (222*2π)/3342 weeks
223-.02682 .09357 (223*2π)/3341 weeks
224-.10989 .0051 (224*2π)/3341 weeks
225-.06919 .06529 (225*2π)/3341 weeks
226-.08967 -.01438 (226*2π)/3341 weeks
227-.08069 .03375 (227*2π)/3341 weeks
228.0546 .00447 (228*2π)/3341 weeks
229.02186 -.01264 (229*2π)/3341 weeks
230-.09554 .02337 (230*2π)/3341 weeks
231-.00666 -.02755 (231*2π)/3341 weeks
232-.08922 .02001 (232*2π)/3341 weeks
233-.13627 .07621 (233*2π)/3341 weeks
234.00135 .04311 (234*2π)/3341 weeks
235-.07677 .07802 (235*2π)/3341 weeks
236-.07728 .04546 (236*2π)/3341 weeks
237-.03597 .03333 (237*2π)/3341 weeks
238-.08888 .06278 (238*2π)/3341 weeks
239-.03736 .03939 (239*2π)/3341 weeks
240-.00597 .12062 (240*2π)/3341 weeks
241.01867 .05036 (241*2π)/3341 weeks
242-.01149 .02018 (242*2π)/3341 weeks
243-.06617 -.02756 (243*2π)/3341 weeks
244-.16875 -.03597 (244*2π)/3341 weeks
245-.05428 .13963 (245*2π)/3341 weeks
246-.04795 -.00367 (246*2π)/3341 weeks
247-.02707 .04894 (247*2π)/3341 weeks
248-.05969 .02913 (248*2π)/3341 weeks
249-.134 .12634 (249*2π)/3341 weeks
250-.10205 .16794 (250*2π)/3341 weeks
251.0347 .05465 (251*2π)/3341 weeks
252-.00896 -.00976 (252*2π)/3341 weeks
253-.14204 -.02262 (253*2π)/3341 weeks
254-.02514 .04785 (254*2π)/3341 weeks
255-.08869 .04279 (255*2π)/3341 weeks
256-.00913 .00644 (256*2π)/3341 weeks
257-.09008 .04901 (257*2π)/3341 weeks
258-.07322 -.01184 (258*2π)/3341 weeks
259.01328 .15965 (259*2π)/3341 weeks
260-.1209 .07564 (260*2π)/3341 weeks
261-.01969 .04388 (261*2π)/3341 weeks
262-.0362 .07074 (262*2π)/3341 weeks
263-.09162 -.0157 (263*2π)/3341 weeks
264-.14185 .14808 (264*2π)/3341 weeks
265.00392 .00976 (265*2π)/3341 weeks
266-.00543 .04655 (266*2π)/3341 weeks
267.03279 .06485 (267*2π)/3341 weeks
268-.02207 .02574 (268*2π)/3341 weeks
269-.01257 -.01257 (269*2π)/3341 weeks
270.0173 .15071 (270*2π)/3341 weeks
271-.08679 .05904 (271*2π)/3341 weeks
272-.08931 .04812 (272*2π)/3341 weeks
273-.11501 .02463 (273*2π)/3341 weeks
274-.12264 .13303 (274*2π)/3341 weeks
275-.14256 .20235 (275*2π)/3341 weeks
276.03817 .14867 (276*2π)/3341 weeks
277-.02698 .1304 (277*2π)/3341 weeks
278.03 .1247 (278*2π)/3341 weeks
279-.02643 .05434 (279*2π)/3341 weeks
280-.01568 -.0129 (280*2π)/3341 weeks
281-.11159 -.05079 (281*2π)/3341 weeks
282-.01236 .0312 (282*2π)/3341 weeks
283.02772 .06304 (283*2π)/3341 weeks
284-.01929 .20171 (284*2π)/3341 weeks
285-.17271 .18381 (285*2π)/3341 weeks
286-.20364 .05103 (286*2π)/3341 weeks
287-.01645 .02027 (287*2π)/3341 weeks
288-.00022 .03675 (288*2π)/3341 weeks
289.02271 .17826 (289*2π)/3341 weeks
290.011 .26271 (290*2π)/3341 weeks
291.27281 .16269 (291*2π)/3341 weeks
292-.07688 .20201 (292*2π)/3341 weeks
293-.14464 .2535 (293*2π)/3341 weeks
294.16921 -.06828 (294*2π)/3341 weeks
295-.21658 -.03514 (295*2π)/3341 weeks
296-.1314 .03221 (296*2π)/3341 weeks
297.00192 .23956 (297*2π)/3341 weeks
298-.13113 .24925 (298*2π)/3341 weeks
299-.03445 .1684 (299*2π)/3341 weeks
300-.00224 .4771 (300*2π)/3341 weeks
301-.05457 .20944 (301*2π)/3341 weeks
302-.05653 .13734 (302*2π)/3341 weeks
303-.03121 .13416 (303*2π)/3341 weeks
304.06369 .25082 (304*2π)/3341 weeks
305-.17102 .03261 (305*2π)/3341 weeks
306.18033 .08549 (306*2π)/3341 weeks
307-.02521 .03062 (307*2π)/3341 weeks
308-.12839 .33511 (308*2π)/3341 weeks
309-.01865 .15886 (309*2π)/3341 weeks
310-.13268 .52758 (310*2π)/3341 weeks
311-.0258 .26348 (311*2π)/3341 weeks
312-.15545 .33141 (312*2π)/3341 weeks
313-.10831 .17857 (313*2π)/3341 weeks
314.10527 .46513 (314*2π)/3341 weeks
315-.0274 .2885 (315*2π)/3341 weeks
316.16235 .19262 (316*2π)/3341 weeks
317.09919 .48205 (317*2π)/3341 weeks
318-.52325 .48937 (318*2π)/3341 weeks
319-.32733 .37142 (319*2π)/3341 weeks
320.52712 .47096 (320*2π)/3341 weeks
321-.10157 .09862 (321*2π)/3341 weeks
322-.31738 .13521 (322*2π)/3341 weeks
323-.35728 .62358 (323*2π)/3341 weeks
324.41548 .63806 (324*2π)/3341 weeks
325.26193 .39245 (325*2π)/3341 weeks
326-.21261 1.6911 (326*2π)/3341 weeks
327-.97296 1.09168 (327*2π)/3341 weeks
328-.57163 .63664 (328*2π)/3341 weeks
329-.46832 1.71717 (329*2π)/3341 weeks
330.94763 1.07643 (330*2π)/3341 weeks
331.8556 .59387 (331*2π)/3341 weeks
3321.65478 3.21317 (332*2π)/3341 weeks