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Fourier Analysis of CBT (Cabot Corporation Common Stock)


CBT (Cabot Corporation Common Stock) appears to have interesting cyclic behaviour every 157 weeks (2.213*cosine), 157 weeks (2.0512*sine), and 135 weeks (1.1314*cosine).

CBT (Cabot Corporation Common Stock) has an average price of 16.26 (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 11/5/1980 to 1/9/2017 for CBT (Cabot Corporation Common Stock), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
016.26231   0 
14.28901 -15.26711 (1*2π)/18881,888 weeks
22.19469 -5.16434 (2*2π)/1888944 weeks
32.24427 -5.92005 (3*2π)/1888629 weeks
4-.702 -5.63657 (4*2π)/1888472 weeks
5-.91489 -2.7065 (5*2π)/1888378 weeks
6-.92339 -1.10034 (6*2π)/1888315 weeks
71.64685 -1.48746 (7*2π)/1888270 weeks
8-.61643 -2.96257 (8*2π)/1888236 weeks
9-.59129 -1.00467 (9*2π)/1888210 weeks
10-.59958 -.39504 (10*2π)/1888189 weeks
111.04786 .81275 (11*2π)/1888172 weeks
122.21304 -2.05116 (12*2π)/1888157 weeks
13-.27606 -1.18845 (13*2π)/1888145 weeks
141.1314 -1.05322 (14*2π)/1888135 weeks
15.39256 -1.44596 (15*2π)/1888126 weeks
16.53259 -1.39063 (16*2π)/1888118 weeks
17.33295 -1.54645 (17*2π)/1888111 weeks
18-.11237 -1.33013 (18*2π)/1888105 weeks
19-.05412 -1.46516 (19*2π)/188899 weeks
20-.74393 -.99415 (20*2π)/188894 weeks
21-.28584 -.69141 (21*2π)/188890 weeks
22-.28378 -.6129 (22*2π)/188886 weeks
23-.10501 -.41345 (23*2π)/188882 weeks
24-.10786 -.53616 (24*2π)/188879 weeks
25.37606 -.23793 (25*2π)/188876 weeks
26.57536 -.97806 (26*2π)/188873 weeks
27-.23682 -1.45166 (27*2π)/188870 weeks
28-.80236 -.39404 (28*2π)/188867 weeks
29.00417 .02487 (29*2π)/188865 weeks
30.36154 -.52491 (30*2π)/188863 weeks
31.08651 -.8549 (31*2π)/188861 weeks
32-.20856 -.6592 (32*2π)/188859 weeks
33-.28673 -.64089 (33*2π)/188857 weeks
34-.38164 -.27791 (34*2π)/188856 weeks
35-.18766 -.11823 (35*2π)/188854 weeks
36-.02431 .04952 (36*2π)/188852 weeks
37.37221 -.30042 (37*2π)/188851 weeks
38.17851 -.31392 (38*2π)/188850 weeks
39.28273 -.5692 (39*2π)/188848 weeks
40-.06263 -.51616 (40*2π)/188847 weeks
41-.10896 -.39882 (41*2π)/188846 weeks
42.06346 -.16815 (42*2π)/188845 weeks
43.31075 -.26991 (43*2π)/188844 weeks
44.29054 -.5563 (44*2π)/188843 weeks
45.05979 -.61419 (45*2π)/188842 weeks
46.03196 -.54645 (46*2π)/188841 weeks
47-.09232 -.6181 (47*2π)/188840 weeks
48-.10324 -.47223 (48*2π)/188839 weeks
49-.29182 -.48237 (49*2π)/188839 weeks
50-.15702 -.23976 (50*2π)/188838 weeks
51-.24794 -.23646 (51*2π)/188837 weeks
52.11042 -.20725 (52*2π)/188836 weeks
53-.0724 -.27945 (53*2π)/188836 weeks
54.05237 -.44674 (54*2π)/188835 weeks
55-.34324 -.22975 (55*2π)/188834 weeks
56.02434 -.12842 (56*2π)/188834 weeks
57.00787 -.1957 (57*2π)/188833 weeks
58.02368 -.26845 (58*2π)/188833 weeks
59.01381 -.23023 (59*2π)/188832 weeks
60.02844 -.23984 (60*2π)/188831 weeks
61.0426 -.27359 (61*2π)/188831 weeks
62-.03954 -.34151 (62*2π)/188830 weeks
63-.05475 -.17448 (63*2π)/188830 weeks
64.16501 -.3443 (64*2π)/188830 weeks
65-.20148 -.29769 (65*2π)/188829 weeks
66.08355 -.25487 (66*2π)/188829 weeks
67-.10157 -.34768 (67*2π)/188828 weeks
68-.11589 -.24898 (68*2π)/188828 weeks
69-.0101 -.17287 (69*2π)/188827 weeks
70-.03029 -.31838 (70*2π)/188827 weeks
71-.10378 -.24768 (71*2π)/188827 weeks
72-.11523 -.20267 (72*2π)/188826 weeks
73-.0748 -.24134 (73*2π)/188826 weeks
74-.07078 -.08205 (74*2π)/188826 weeks
75.05722 -.2502 (75*2π)/188825 weeks
76-.16281 -.33807 (76*2π)/188825 weeks
77-.29237 -.0685 (77*2π)/188825 weeks
78-.05185 .03726 (78*2π)/188824 weeks
79.13926 .01247 (79*2π)/188824 weeks
80.09502 -.27876 (80*2π)/188824 weeks
81-.09469 -.13325 (81*2π)/188823 weeks
82.05205 -.17582 (82*2π)/188823 weeks
83-.03896 -.23599 (83*2π)/188823 weeks
84-.02575 -.14401 (84*2π)/188822 weeks
85-.04556 -.17162 (85*2π)/188822 weeks
86-.06345 -.15091 (86*2π)/188822 weeks
87-.04232 .01863 (87*2π)/188822 weeks
88.08573 -.12373 (88*2π)/188821 weeks
89-.00844 -.09459 (89*2π)/188821 weeks
90.16373 -.06841 (90*2π)/188821 weeks
91.15135 -.1932 (91*2π)/188821 weeks
92.21491 -.25381 (92*2π)/188821 weeks
93.00648 -.42802 (93*2π)/188820 weeks
94-.093 -.15294 (94*2π)/188820 weeks
95.08582 -.18396 (95*2π)/188820 weeks
96-.03194 -.28435 (96*2π)/188820 weeks
97-.06044 -.09834 (97*2π)/188819 weeks
98.11928 -.19092 (98*2π)/188819 weeks
99.01639 -.22967 (99*2π)/188819 weeks
100.08577 -.3049 (100*2π)/188819 weeks
101-.11587 -.3151 (101*2π)/188819 weeks
102-.13317 -.16777 (102*2π)/188819 weeks
103-.07461 -.12704 (103*2π)/188818 weeks
104.00039 -.1922 (104*2π)/188818 weeks
105-.06545 -.20343 (105*2π)/188818 weeks
106-.10174 -.19713 (106*2π)/188818 weeks
107-.09035 -.10172 (107*2π)/188818 weeks
108-.01599 -.17486 (108*2π)/188817 weeks
109-.06 -.18773 (109*2π)/188817 weeks
110-.13515 -.2036 (110*2π)/188817 weeks
111-.14086 -.02894 (111*2π)/188817 weeks
112.01089 -.01126 (112*2π)/188817 weeks
113.07271 -.164 (113*2π)/188817 weeks
114-.10175 -.26203 (114*2π)/188817 weeks
115-.19672 -.0776 (115*2π)/188816 weeks
116-.05535 .05802 (116*2π)/188816 weeks
117.10722 -.03543 (117*2π)/188816 weeks
118.00443 -.19573 (118*2π)/188816 weeks
119-.01146 -.14052 (119*2π)/188816 weeks
120-.05863 -.12831 (120*2π)/188816 weeks
121-.02857 -.14359 (121*2π)/188816 weeks
122-.08292 -.10404 (122*2π)/188815 weeks
123-.04188 -.11391 (123*2π)/188815 weeks
124-.12827 .01314 (124*2π)/188815 weeks
125.0983 -.01134 (125*2π)/188815 weeks
126.04583 -.10804 (126*2π)/188815 weeks
127.10392 -.11313 (127*2π)/188815 weeks
128.00368 -.21119 (128*2π)/188815 weeks
129.03175 -.10534 (129*2π)/188815 weeks
130-.02956 -.23364 (130*2π)/188815 weeks
131-.06199 -.06859 (131*2π)/188814 weeks
132.08974 -.1602 (132*2π)/188814 weeks
133-.05201 -.20643 (133*2π)/188814 weeks
134-.05811 -.10525 (134*2π)/188814 weeks
135-.03694 -.17551 (135*2π)/188814 weeks
136-.036 -.04554 (136*2π)/188814 weeks
137.03752 -.17107 (137*2π)/188814 weeks
138-.02051 -.10362 (138*2π)/188814 weeks
139.01915 -.21365 (139*2π)/188814 weeks
140-.12037 -.11769 (140*2π)/188813 weeks
141.05775 -.14508 (141*2π)/188813 weeks
142-.13419 -.22089 (142*2π)/188813 weeks
143-.07047 -.02254 (143*2π)/188813 weeks
144.02484 -.15892 (144*2π)/188813 weeks
145-.11337 -.12867 (145*2π)/188813 weeks
146.0133 -.09481 (146*2π)/188813 weeks
147-.08451 -.17591 (147*2π)/188813 weeks
148-.09298 -.09613 (148*2π)/188813 weeks
149-.09268 -.03577 (149*2π)/188813 weeks
150-.02864 -.05287 (150*2π)/188813 weeks
151.0225 -.04287 (151*2π)/188813 weeks
152.02682 -.12175 (152*2π)/188812 weeks
153-.02568 -.11568 (153*2π)/188812 weeks
154-.06555 -.05924 (154*2π)/188812 weeks
155.0671 -.10432 (155*2π)/188812 weeks
156-.04267 -.16901 (156*2π)/188812 weeks
157-.07148 -.1359 (157*2π)/188812 weeks
158-.06677 -.04002 (158*2π)/188812 weeks
159.03882 -.08846 (159*2π)/188812 weeks
160-.04697 -.17789 (160*2π)/188812 weeks
161-.05251 -.0992 (161*2π)/188812 weeks
162-.09448 -.12469 (162*2π)/188812 weeks
163-.00395 .01782 (163*2π)/188812 weeks
164-.03006 -.16041 (164*2π)/188812 weeks
165-.08799 -.02329 (165*2π)/188811 weeks
166.0253 -.05585 (166*2π)/188811 weeks
167-.01141 -.06147 (167*2π)/188811 weeks
168.09991 -.05888 (168*2π)/188811 weeks
169.02705 -.1925 (169*2π)/188811 weeks
170.00349 -.16458 (170*2π)/188811 weeks
171-.05906 -.2183 (171*2π)/188811 weeks
172-.15318 -.14126 (172*2π)/188811 weeks
173-.09915 -.03533 (173*2π)/188811 weeks
174-.04316 -.05596 (174*2π)/188811 weeks
175-.03393 -.05658 (175*2π)/188811 weeks
176-.0093 -.08483 (176*2π)/188811 weeks
177-.04151 -.10047 (177*2π)/188811 weeks
178-.03894 -.0828 (178*2π)/188811 weeks
179-.0339 -.09833 (179*2π)/188811 weeks
180-.09289 -.07828 (180*2π)/188810 weeks
181-.04161 .00079 (181*2π)/188810 weeks
182.0249 -.05968 (182*2π)/188810 weeks
183-.01874 -.06608 (183*2π)/188810 weeks
184.01217 -.09864 (184*2π)/188810 weeks
185-.01711 -.0842 (185*2π)/188810 weeks
186-.03078 -.14934 (186*2π)/188810 weeks
187-.09603 -.07229 (187*2π)/188810 weeks
188.00271 -.04207 (188*2π)/188810 weeks
189.01344 -.08582 (189*2π)/188810 weeks
190-.00819 -.13087 (190*2π)/188810 weeks
191-.05338 -.11859 (191*2π)/188810 weeks
192-.08981 -.12321 (192*2π)/188810 weeks
193-.07738 -.05209 (193*2π)/188810 weeks
194-.06105 -.08026 (194*2π)/188810 weeks
195-.05723 .00995 (195*2π)/188810 weeks
196.01694 -.06602 (196*2π)/188810 weeks
197-.07103 -.07782 (197*2π)/188810 weeks
198-.00307 -.00348 (198*2π)/188810 weeks
199.02263 -.09386 (199*2π)/18889 weeks
200-.01257 -.07451 (200*2π)/18889 weeks
201-.03066 -.09553 (201*2π)/18889 weeks
202-.04551 -.08078 (202*2π)/18889 weeks
203-.04171 -.05318 (203*2π)/18889 weeks
204-.01302 -.08935 (204*2π)/18889 weeks
205-.06463 -.06093 (205*2π)/18889 weeks
206-.0587 -.01918 (206*2π)/18889 weeks
207.0027 -.03935 (207*2π)/18889 weeks
208-.01776 -.02972 (208*2π)/18889 weeks
209.04444 -.09636 (209*2π)/18889 weeks
210-.04584 -.11219 (210*2π)/18889 weeks
211-.05818 -.10232 (211*2π)/18889 weeks
212-.0895 -.02924 (212*2π)/18889 weeks
213.01258 -.0045 (213*2π)/18889 weeks
214.0076 -.11531 (214*2π)/18889 weeks
215-.04317 -.04451 (215*2π)/18889 weeks
216.027 -.08685 (216*2π)/18889 weeks
217-.0373 -.10308 (217*2π)/18889 weeks
218-.02385 -.10192 (218*2π)/18889 weeks
219-.07274 -.12235 (219*2π)/18889 weeks
220-.11835 -.04858 (220*2π)/18889 weeks
221-.0792 -.01937 (221*2π)/18889 weeks
222-.04833 .02468 (222*2π)/18889 weeks
223.01376 -.02781 (223*2π)/18888 weeks
224-.03225 -.0223 (224*2π)/18888 weeks
225.03951 -.03604 (225*2π)/18888 weeks
226-.02263 -.05597 (226*2π)/18888 weeks
227.04157 -.03581 (227*2π)/18888 weeks
228-.01093 -.0985 (228*2π)/18888 weeks
229-.02588 -.01718 (229*2π)/18888 weeks
230.08356 -.07136 (230*2π)/18888 weeks
231-.01776 -.16392 (231*2π)/18888 weeks
232-.05818 -.097 (232*2π)/18888 weeks
233-.0984 -.07522 (233*2π)/18888 weeks
234-.02827 .01902 (234*2π)/18888 weeks
235.01955 -.07375 (235*2π)/18888 weeks
236-.00307 -.06818 (236*2π)/18888 weeks
237-.01689 -.12536 (237*2π)/18888 weeks
238-.08225 -.04659 (238*2π)/18888 weeks
239-.01146 -.08211 (239*2π)/18888 weeks
240-.11823 -.05067 (240*2π)/18888 weeks
241-.02401 .01941 (241*2π)/18888 weeks
242-.0168 -.01419 (242*2π)/18888 weeks
243.05735 -.02269 (243*2π)/18888 weeks
244-.00889 -.12199 (244*2π)/18888 weeks
245-.07979 -.04619 (245*2π)/18888 weeks
246.01292 .00005 (246*2π)/18888 weeks
247.03204 -.05139 (247*2π)/18888 weeks
248.01707 -.08613 (248*2π)/18888 weeks
249-.00333 -.07588 (249*2π)/18888 weeks
250.00072 -.07988 (250*2π)/18888 weeks
251.00919 -.10339 (251*2π)/18888 weeks
252-.04254 -.13261 (252*2π)/18887 weeks
253-.08625 -.08543 (253*2π)/18887 weeks
254-.07808 -.03977 (254*2π)/18887 weeks
255-.0413 -.01463 (255*2π)/18887 weeks
256.01255 -.04308 (256*2π)/18887 weeks
257-.024 -.09728 (257*2π)/18887 weeks
258-.07791 -.05986 (258*2π)/18887 weeks
259-.06196 -.0228 (259*2π)/18887 weeks
260-.03906 -.00355 (260*2π)/18887 weeks
261.00593 .02547 (261*2π)/18887 weeks
262.06789 -.01418 (262*2π)/18887 weeks
263.0709 -.10926 (263*2π)/18887 weeks
264-.01681 -.12561 (264*2π)/18887 weeks
265-.04678 -.09753 (265*2π)/18887 weeks
266-.05745 -.08632 (266*2π)/18887 weeks
267-.06385 -.04919 (267*2π)/18887 weeks
268-.03567 -.02434 (268*2π)/18887 weeks
269.01198 -.03767 (269*2π)/18887 weeks
270.00903 -.09862 (270*2π)/18887 weeks
271-.08143 -.13386 (271*2π)/18887 weeks
272-.11727 -.02451 (272*2π)/18887 weeks
273-.02507 .0079 (273*2π)/18887 weeks
274-.02635 -.03743 (274*2π)/18887 weeks
275-.03313 -.03217 (275*2π)/18887 weeks
276-.04378 .00388 (276*2π)/18887 weeks
277.05054 -.01274 (277*2π)/18887 weeks
278.00739 -.09983 (278*2π)/18887 weeks
279-.03619 -.04711 (279*2π)/18887 weeks
280-.01919 -.04501 (280*2π)/18887 weeks
281-.02935 -.01638 (281*2π)/18887 weeks
282.02229 -.02359 (282*2π)/18887 weeks
283.00648 -.05507 (283*2π)/18887 weeks
284.00713 -.04528 (284*2π)/18887 weeks
285.01368 -.05784 (285*2π)/18887 weeks
286-.00618 -.08205 (286*2π)/18887 weeks
287-.01731 -.07751 (287*2π)/18887 weeks
288-.05039 -.0345 (288*2π)/18887 weeks
289.01844 -.02896 (289*2π)/18887 weeks
290.00293 -.05767 (290*2π)/18887 weeks
291.01439 -.06458 (291*2π)/18886 weeks
292-.01208 -.10497 (292*2π)/18886 weeks
293-.04765 -.08215 (293*2π)/18886 weeks
294-.06121 -.03071 (294*2π)/18886 weeks
295-.00278 .00624 (295*2π)/18886 weeks
296.03394 -.06075 (296*2π)/18886 weeks
297-.02276 -.06739 (297*2π)/18886 weeks
298.01114 -.05667 (298*2π)/18886 weeks
299-.00581 -.08454 (299*2π)/18886 weeks
300.00435 -.06289 (300*2π)/18886 weeks
301-.0134 -.11248 (301*2π)/18886 weeks
302-.07337 -.0588 (302*2π)/18886 weeks
303.00583 -.06634 (303*2π)/18886 weeks
304-.05336 -.10447 (304*2π)/18886 weeks
305-.05668 -.02045 (305*2π)/18886 weeks
306-.01932 -.0593 (306*2π)/18886 weeks
307-.02245 -.03624 (307*2π)/18886 weeks
308-.00175 -.086 (308*2π)/18886 weeks
309-.02127 -.08543 (309*2π)/18886 weeks
310-.06193 -.07389 (310*2π)/18886 weeks
311-.04983 -.05662 (311*2π)/18886 weeks
312-.03019 -.04728 (312*2π)/18886 weeks
313-.04474 -.08032 (313*2π)/18886 weeks
314-.06666 -.03746 (314*2π)/18886 weeks
315-.03402 -.01962 (315*2π)/18886 weeks
316-.01871 -.04313 (316*2π)/18886 weeks
317-.02135 -.04482 (317*2π)/18886 weeks
318-.01234 -.07956 (318*2π)/18886 weeks
319-.06225 -.06189 (319*2π)/18886 weeks
320-.03095 -.03188 (320*2π)/18886 weeks
321-.04271 -.06176 (321*2π)/18886 weeks
322-.04891 -.03966 (322*2π)/18886 weeks
323-.06258 -.04683 (323*2π)/18886 weeks
324-.02046 -.01003 (324*2π)/18886 weeks
325-.01307 -.08038 (325*2π)/18886 weeks
326-.07751 -.04587 (326*2π)/18886 weeks
327-.04265 -.04785 (327*2π)/18886 weeks
328-.09606 -.0486 (328*2π)/18886 weeks
329-.03371 .03754 (329*2π)/18886 weeks
330-.01361 -.03164 (330*2π)/18886 weeks
331-.04306 -.02676 (331*2π)/18886 weeks
332-.05866 -.01269 (332*2π)/18886 weeks
333-.0258 .03389 (333*2π)/18886 weeks
334.04337 -.01802 (334*2π)/18886 weeks
335-.00773 -.03923 (335*2π)/18886 weeks
336.00608 -.04197 (336*2π)/18886 weeks
337-.0304 -.03054 (337*2π)/18886 weeks
338-.00036 -.02933 (338*2π)/18886 weeks
339-.00764 -.05865 (339*2π)/18886 weeks
340-.04123 -.03938 (340*2π)/18886 weeks
341-.02679 -.00704 (341*2π)/18886 weeks
342.00575 -.00476 (342*2π)/18886 weeks
343.01849 -.03585 (343*2π)/18886 weeks
344.00541 -.05623 (344*2π)/18885 weeks
345.00645 -.03715 (345*2π)/18885 weeks
346.00648 -.06691 (346*2π)/18885 weeks
347-.02817 -.05214 (347*2π)/18885 weeks
348-.00008 -.04938 (348*2π)/18885 weeks
349-.01321 -.051 (349*2π)/18885 weeks
350-.00253 -.04148 (350*2π)/18885 weeks
351.02395 -.07022 (351*2π)/18885 weeks
352-.0358 -.08796 (352*2π)/18885 weeks
353-.0146 -.04354 (353*2π)/18885 weeks
354-.0255 -.11077 (354*2π)/18885 weeks
355-.08993 -.03411 (355*2π)/18885 weeks
356-.01422 -.02945 (356*2π)/18885 weeks
357-.01204 -.02666 (357*2π)/18885 weeks
358-.02673 -.06281 (358*2π)/18885 weeks
359-.02804 -.02972 (359*2π)/18885 weeks
360-.00303 -.05008 (360*2π)/18885 weeks
361-.00264 -.0756 (361*2π)/18885 weeks
362-.05464 -.08592 (362*2π)/18885 weeks
363-.06818 -.04465 (363*2π)/18885 weeks
364-.05605 .00397 (364*2π)/18885 weeks
365-.00289 -.02928 (365*2π)/18885 weeks
366-.0185 -.05077 (366*2π)/18885 weeks
367-.04876 -.03687 (367*2π)/18885 weeks
368-.03221 -.00806 (368*2π)/18885 weeks
369-.00411 -.01081 (369*2π)/18885 weeks
370.01016 -.04056 (370*2π)/18885 weeks
371-.00139 -.04076 (371*2π)/18885 weeks
372-.0076 -.0681 (372*2π)/18885 weeks
373-.01976 -.04299 (373*2π)/18885 weeks
374.00092 -.05525 (374*2π)/18885 weeks
375-.00294 -.0897 (375*2π)/18885 weeks
376-.07038 -.07871 (376*2π)/18885 weeks
377-.03424 -.03445 (377*2π)/18885 weeks
378-.05023 -.05951 (378*2π)/18885 weeks
379-.0125 -.02306 (379*2π)/18885 weeks
380-.03822 -.09285 (380*2π)/18885 weeks
381-.06777 -.03657 (381*2π)/18885 weeks
382-.0573 -.02614 (382*2π)/18885 weeks
383-.0313 .00244 (383*2π)/18885 weeks
384.00213 -.0479 (384*2π)/18885 weeks
385-.05086 -.05127 (385*2π)/18885 weeks
386-.03522 -.01492 (386*2π)/18885 weeks
387-.01863 -.03501 (387*2π)/18885 weeks
388-.02563 -.02791 (388*2π)/18885 weeks
389-.02701