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Fourier Analysis of XOM (Exxon Mobil Corporation)


XOM (Exxon Mobil Corporation) appears to have interesting cyclic behaviour every 164 weeks (1.4473*sine), 214 weeks (1.22*sine), and 153 weeks (1.1357*cosine).

XOM (Exxon Mobil Corporation) has an average price of 27.81 (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 3/17/1980 to 2/22/2021 for XOM (Exxon Mobil Corporation), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
027.80629   0 
16.17448 -29.77456 (1*2π)/21372,137 weeks
2-2.91532 -11.95158 (2*2π)/21371,069 weeks
3-2.01561 -6.38411 (3*2π)/2137712 weeks
4-1.97359 -5.99681 (4*2π)/2137534 weeks
5-1.868 -1.07929 (5*2π)/2137427 weeks
61.11737 -3.77635 (6*2π)/2137356 weeks
7-2.08907 -3.51721 (7*2π)/2137305 weeks
8-2.0938 -1.06693 (8*2π)/2137267 weeks
9-.67161 -.85422 (9*2π)/2137237 weeks
10-.38044 -1.22002 (10*2π)/2137214 weeks
11-1.1199 -.88343 (11*2π)/2137194 weeks
12.01782 .00733 (12*2π)/2137178 weeks
13.05031 -1.44726 (13*2π)/2137164 weeks
14-1.13575 -.8053 (14*2π)/2137153 weeks
15-.56411 -.08681 (15*2π)/2137142 weeks
16-.31528 -.10563 (16*2π)/2137134 weeks
17-.10219 .2667 (17*2π)/2137126 weeks
18.64998 -.06213 (18*2π)/2137119 weeks
19.40064 -.61636 (19*2π)/2137112 weeks
20-.00172 -.50073 (20*2π)/2137107 weeks
21.21611 -.62219 (21*2π)/2137102 weeks
22-.23637 -.54072 (22*2π)/213797 weeks
23-.27821 -.06292 (23*2π)/213793 weeks
24.32664 .259 (24*2π)/213789 weeks
25.63786 -.19326 (25*2π)/213785 weeks
26.48097 -.65658 (26*2π)/213782 weeks
27-.04531 -.42557 (27*2π)/213779 weeks
28.42773 -.16065 (28*2π)/213776 weeks
29.50833 -.66468 (29*2π)/213774 weeks
30.08198 -.63105 (30*2π)/213771 weeks
31-.0384 -.43807 (31*2π)/213769 weeks
32.15076 -.20668 (32*2π)/213767 weeks
33.36912 -.49032 (33*2π)/213765 weeks
34.16449 -.50576 (34*2π)/213763 weeks
35-.00944 -.4077 (35*2π)/213761 weeks
36.35705 -.21856 (36*2π)/213759 weeks
37.33197 -.72507 (37*2π)/213758 weeks
38-.06946 -.76218 (38*2π)/213756 weeks
39-.21451 -.35651 (39*2π)/213755 weeks
40.02481 -.25251 (40*2π)/213753 weeks
41.20027 -.29043 (41*2π)/213752 weeks
42-.01927 -.59044 (42*2π)/213751 weeks
43-.09586 -.29814 (43*2π)/213750 weeks
44.01853 -.30232 (44*2π)/213749 weeks
45.09238 -.28763 (45*2π)/213747 weeks
46-.02134 -.47931 (46*2π)/213746 weeks
47-.20109 -.19007 (47*2π)/213745 weeks
48.10293 -.04153 (48*2π)/213745 weeks
49.1959 -.32728 (49*2π)/213744 weeks
50.13962 -.33674 (50*2π)/213743 weeks
51-.01003 -.39336 (51*2π)/213742 weeks
52-.01109 -.31715 (52*2π)/213741 weeks
53-.11053 -.22679 (53*2π)/213740 weeks
54.17617 -.26899 (54*2π)/213740 weeks
55-.18116 -.48113 (55*2π)/213739 weeks
56-.23961 -.08322 (56*2π)/213738 weeks
57-.05431 .04857 (57*2π)/213737 weeks
58.11465 -.08629 (58*2π)/213737 weeks
59-.01757 -.16832 (59*2π)/213736 weeks
60.07154 .13748 (60*2π)/213736 weeks
61.23624 -.07447 (61*2π)/213735 weeks
62.24643 -.00607 (62*2π)/213734 weeks
63.37456 -.184 (63*2π)/213734 weeks
64.34833 -.26532 (64*2π)/213733 weeks
65.12318 -.41805 (65*2π)/213733 weeks
66.14627 -.1273 (66*2π)/213732 weeks
67.31738 -.18745 (67*2π)/213732 weeks
68.37704 -.38636 (68*2π)/213731 weeks
69.14622 -.48889 (69*2π)/213731 weeks
70.10374 -.44823 (70*2π)/213731 weeks
71.12862 -.32424 (71*2π)/213730 weeks
72.06556 -.50941 (72*2π)/213730 weeks
73-.04465 -.29744 (73*2π)/213729 weeks
74.09977 -.3302 (74*2π)/213729 weeks
75-.03049 -.43507 (75*2π)/213728 weeks
76-.0528 -.20053 (76*2π)/213728 weeks
77.18506 -.28814 (77*2π)/213728 weeks
78.01349 -.43939 (78*2π)/213727 weeks
79.06263 -.32344 (79*2π)/213727 weeks
80.01715 -.45022 (80*2π)/213727 weeks
81-.09415 -.55406 (81*2π)/213726 weeks
82-.34 -.30602 (82*2π)/213726 weeks
83-.16964 -.17653 (83*2π)/213726 weeks
84-.08483 -.06897 (84*2π)/213725 weeks
85-.02837 -.25197 (85*2π)/213725 weeks
86-.0004 -.09051 (86*2π)/213725 weeks
87.1395 -.39346 (87*2π)/213725 weeks
88-.18474 -.41506 (88*2π)/213724 weeks
89-.2023 -.12883 (89*2π)/213724 weeks
90-.03249 -.16692 (90*2π)/213724 weeks
91-.04649 -.25866 (91*2π)/213723 weeks
92-.09777 -.26279 (92*2π)/213723 weeks
93-.15563 -.29405 (93*2π)/213723 weeks
94-.26277 -.12243 (94*2π)/213723 weeks
95-.13334 -.10886 (95*2π)/213722 weeks
96-.2384 -.05203 (96*2π)/213722 weeks
97-.05725 .07616 (97*2π)/213722 weeks
98.05557 -.05521 (98*2π)/213722 weeks
99-.10766 -.13986 (99*2π)/213722 weeks
100-.05742 .10075 (100*2π)/213721 weeks
101.16774 .01596 (101*2π)/213721 weeks
102.1241 -.1623 (102*2π)/213721 weeks
103-.00344 -.16965 (103*2π)/213721 weeks
104-.00964 -.0321 (104*2π)/213721 weeks
105.13982 -.04237 (105*2π)/213720 weeks
106.15415 -.14225 (106*2π)/213720 weeks
107.17091 -.18172 (107*2π)/213720 weeks
108.17899 -.30446 (108*2π)/213720 weeks
109-.0269 -.379 (109*2π)/213720 weeks
110-.02971 -.26054 (110*2π)/213719 weeks
111-.18596 -.26703 (111*2π)/213719 weeks
112-.05579 -.05419 (112*2π)/213719 weeks
113-.07364 -.18067 (113*2π)/213719 weeks
114-.00402 -.0518 (114*2π)/213719 weeks
115.06483 -.14898 (115*2π)/213719 weeks
116-.00099 -.23074 (116*2π)/213718 weeks
117-.09959 -.10413 (117*2π)/213718 weeks
118.10143 -.12255 (118*2π)/213718 weeks
119-.03085 -.22521 (119*2π)/213718 weeks
120-.00894 -.12821 (120*2π)/213718 weeks
121.01766 -.18438 (121*2π)/213718 weeks
122-.01445 -.20324 (122*2π)/213718 weeks
123-.05487 -.15287 (123*2π)/213717 weeks
124.02584 -.21513 (124*2π)/213717 weeks
125-.08988 -.25717 (125*2π)/213717 weeks
126-.1707 -.17917 (126*2π)/213717 weeks
127-.07399 -.05046 (127*2π)/213717 weeks
128-.06502 -.18776 (128*2π)/213717 weeks
129-.13023 -.08367 (129*2π)/213717 weeks
130-.07324 -.04461 (130*2π)/213716 weeks
131.05758 -.08348 (131*2π)/213716 weeks
132-.06723 -.21868 (132*2π)/213716 weeks
133-.14252 -.13702 (133*2π)/213716 weeks
134-.14279 -.03384 (134*2π)/213716 weeks
135-.02423 -.0292 (135*2π)/213716 weeks
136-.08014 -.09355 (136*2π)/213716 weeks
137-.07834 -.00842 (137*2π)/213716 weeks
138-.00005 -.05413 (138*2π)/213715 weeks
139-.0797 -.06587 (139*2π)/213715 weeks
140-.05795 .04479 (140*2π)/213715 weeks
141.04902 -.06008 (141*2π)/213715 weeks
142-.07949 .02001 (142*2π)/213715 weeks
143.10746 .04898 (143*2π)/213715 weeks
144.05051 -.08981 (144*2π)/213715 weeks
145.05024 .00309 (145*2π)/213715 weeks
146.16523 -.03373 (146*2π)/213715 weeks
147.07501 -.17704 (147*2π)/213715 weeks
148.07516 -.07771 (148*2π)/213714 weeks
149.08194 -.19255 (149*2π)/213714 weeks
150-.03762 -.16833 (150*2π)/213714 weeks
151-.02757 -.07881 (151*2π)/213714 weeks
152.02549 -.07172 (152*2π)/213714 weeks
153.04048 -.07252 (153*2π)/213714 weeks
154.06503 -.10742 (154*2π)/213714 weeks
155.05 -.11247 (155*2π)/213714 weeks
156.05809 -.1453 (156*2π)/213714 weeks
157.05769 -.13891 (157*2π)/213714 weeks
158.01519 -.19765 (158*2π)/213714 weeks
159-.01491 -.14522 (159*2π)/213713 weeks
160-.03485 -.13242 (160*2π)/213713 weeks
161.02134 -.08422 (161*2π)/213713 weeks
162.05228 -.19776 (162*2π)/213713 weeks
163-.09405 -.19451 (163*2π)/213713 weeks
164-.08137 -.09803 (164*2π)/213713 weeks
165-.07457 -.04335 (165*2π)/213713 weeks
166.04137 -.02254 (166*2π)/213713 weeks
167.04107 -.11977 (167*2π)/213713 weeks
168.01759 -.10476 (168*2π)/213713 weeks
169.03133 -.10937 (169*2π)/213713 weeks
170.03313 -.12184 (170*2π)/213713 weeks
171.06406 -.18415 (171*2π)/213712 weeks
172-.09936 -.25283 (172*2π)/213712 weeks
173-.15067 -.02766 (173*2π)/213712 weeks
174.07046 -.01323 (174*2π)/213712 weeks
175.00636 -.17677 (175*2π)/213712 weeks
176-.05471 -.10966 (176*2π)/213712 weeks
177.03231 -.08585 (177*2π)/213712 weeks
178-.05578 -.19692 (178*2π)/213712 weeks
179-.08186 -.03887 (179*2π)/213712 weeks
180.00931 -.11535 (180*2π)/213712 weeks
181-.09591 -.07665 (181*2π)/213712 weeks
182-.00853 .00191 (182*2π)/213712 weeks
183.08084 -.06645 (183*2π)/213712 weeks
184.03445 -.18734 (184*2π)/213712 weeks
185-.07958 -.12711 (185*2π)/213712 weeks
186-.01128 -.06272 (186*2π)/213711 weeks
187-.03551 -.09955 (187*2π)/213711 weeks
188.00575 -.09236 (188*2π)/213711 weeks
189-.05835 -.10999 (189*2π)/213711 weeks
190-.01323 -.08932 (190*2π)/213711 weeks
191-.08166 -.05952 (191*2π)/213711 weeks
192.0108 -.03279 (192*2π)/213711 weeks
193-.03879 -.0536 (193*2π)/213711 weeks
194.02126 .00581 (194*2π)/213711 weeks
195.07842 -.03591 (195*2π)/213711 weeks
196.10826 -.12467 (196*2π)/213711 weeks
197.01567 -.16154 (197*2π)/213711 weeks
198.00498 -.08914 (198*2π)/213711 weeks
199.05792 -.13675 (199*2π)/213711 weeks
200-.023 -.14057 (200*2π)/213711 weeks
201.02707 -.14872 (201*2π)/213711 weeks
202-.05548 -.14017 (202*2π)/213711 weeks
203-.00107 -.08953 (203*2π)/213711 weeks
204.03291 -.14283 (204*2π)/213710 weeks
205-.04337 -.21282 (205*2π)/213710 weeks
206-.09435 -.1147 (206*2π)/213710 weeks
207-.04175 -.12421 (207*2π)/213710 weeks
208-.11845 -.16779 (208*2π)/213710 weeks
209-.12354 -.01145 (209*2π)/213710 weeks
210-.00781 -.08335 (210*2π)/213710 weeks
211-.09597 -.08035 (211*2π)/213710 weeks
212-.08418 -.02875 (212*2π)/213710 weeks
213-.02925 .00032 (213*2π)/213710 weeks
214.02625 -.07216 (214*2π)/213710 weeks
215-.06964 -.09589 (215*2π)/213710 weeks
216-.0344 .02158 (216*2π)/213710 weeks
217.05793 -.09038 (217*2π)/213710 weeks
218-.09341 -.08907 (218*2π)/213710 weeks
219-.00228 .0213 (219*2π)/213710 weeks
220.06494 -.04466 (220*2π)/213710 weeks
221.00873 -.12308 (221*2π)/213710 weeks
222-.00933 -.0509 (222*2π)/213710 weeks
223.04623 -.09555 (223*2π)/213710 weeks
224-.02738 -.14447 (224*2π)/213710 weeks
225-.06337 -.08118 (225*2π)/21379 weeks
226-.02759 -.03739 (226*2π)/21379 weeks
227.03152 -.07846 (227*2π)/21379 weeks
228-.03423 -.10268 (228*2π)/21379 weeks
229-.01956 -.05895 (229*2π)/21379 weeks
230-.00264 -.05839 (230*2π)/21379 weeks
231-.01953 -.12145 (231*2π)/21379 weeks
232-.05223 -.00864 (232*2π)/21379 weeks
233.07445 -.07385 (233*2π)/21379 weeks
234-.02325 -.12435 (234*2π)/21379 weeks
235-.04053 -.05207 (235*2π)/21379 weeks
236.04831 -.02863 (236*2π)/21379 weeks
237.04716 -.14609 (237*2π)/21379 weeks
238-.00903 -.12496 (238*2π)/21379 weeks
239-.02579 -.12661 (239*2π)/21379 weeks
240-.03941 -.08976 (240*2π)/21379 weeks
241-.00028 -.12117 (241*2π)/21379 weeks
242-.07803 -.12897 (242*2π)/21379 weeks
243-.07256 -.07003 (243*2π)/21379 weeks
244-.05461 -.04856 (244*2π)/21379 weeks
245.00763 -.03223 (245*2π)/21379 weeks
246-.00099 -.10194 (246*2π)/21379 weeks
247-.00021 -.09792 (247*2π)/21379 weeks
248-.0345 -.16043 (248*2π)/21379 weeks
249-.1121 -.06343 (249*2π)/21379 weeks
250-.02758 -.03567 (250*2π)/21379 weeks
251-.00713 -.04952 (251*2π)/21379 weeks
252.01988 -.09045 (252*2π)/21378 weeks
253-.01888 -.14068 (253*2π)/21378 weeks
254-.03645 -.14081 (254*2π)/21378 weeks
255-.11769 -.14166 (255*2π)/21378 weeks
256-.12787 -.04568 (256*2π)/21378 weeks
257-.0698 -.03039 (257*2π)/21378 weeks
258-.02867 -.04176 (258*2π)/21378 weeks
259-.06486 -.09229 (259*2π)/21378 weeks
260-.08913 -.07187 (260*2π)/21378 weeks
261-.11205 -.03765 (261*2π)/21378 weeks
262-.07875 .02619 (262*2π)/21378 weeks
263-.01337 .00449 (263*2π)/21378 weeks
264-.00545 -.03752 (264*2π)/21378 weeks
265-.03977 -.06495 (265*2π)/21378 weeks
266-.09676 -.03635 (266*2π)/21378 weeks
267-.04037 .04969 (267*2π)/21378 weeks
268.03208 -.024 (268*2π)/21378 weeks
269-.04111 -.05289 (269*2π)/21378 weeks
270-.04857 .01804 (270*2π)/21378 weeks
271.00703 .00678 (271*2π)/21378 weeks
272-.0022 .00031 (272*2π)/21378 weeks
273.06759 .00705 (273*2π)/21378 weeks
274.04897 -.09553 (274*2π)/21378 weeks
275-.04093 -.05262 (275*2π)/21378 weeks
276.05186 -.03057 (276*2π)/21378 weeks
277-.02827 -.10342 (277*2π)/21378 weeks
278-.02667 .01957 (278*2π)/21378 weeks
279.07739 -.03468 (279*2π)/21378 weeks
280.01416 -.09474 (280*2π)/21378 weeks
281.0168 -.06302 (281*2π)/21378 weeks
282.01019 -.07265 (282*2π)/21378 weeks
283.00883 -.08429 (283*2π)/21378 weeks
284-.02759 -.05923 (284*2π)/21378 weeks
285.05287 -.04913 (285*2π)/21377 weeks
286.03997 -.12554 (286*2π)/21377 weeks
287-.03111 -.13683 (287*2π)/21377 weeks
288-.06883 -.05595 (288*2π)/21377 weeks
289.03645 -.06144 (289*2π)/21377 weeks
290-.03239 -.10498 (290*2π)/21377 weeks
291.00293 -.0868 (291*2π)/21377 weeks
292-.01234 -.12327 (292*2π)/21377 weeks
293-.06393 -.12224 (293*2π)/21377 weeks
294-.0628 -.10205 (294*2π)/21377 weeks
295-.13074 -.10061 (295*2π)/21377 weeks
296-.10933 .02368 (296*2π)/21377 weeks
297-.01134 .00499 (297*2π)/21377 weeks
298.01089 -.04807 (298*2π)/21377 weeks
299-.032 -.09975 (299*2π)/21377 weeks
300-.09079 -.04366 (300*2π)/21377 weeks
301-.05991 -.0061 (301*2π)/21377 weeks
302.00055 .00496 (302*2π)/21377 weeks
303-.01481 -.09132 (303*2π)/21377 weeks
304-.08254 -.02378 (304*2π)/21377 weeks
305-.022 .02127 (305*2π)/21377 weeks
306.01265 -.02128 (306*2π)/21377 weeks
307-.01413 -.07086 (307*2π)/21377 weeks
308-.06643 -.00308 (308*2π)/21377 weeks
309.02547 .01036 (309*2π)/21377 weeks
310.00781 -.03424 (310*2π)/21377 weeks
311.01364 -.04964 (311*2π)/21377 weeks
312-.01293 -.03267 (312*2π)/21377 weeks
313-.00959 -.04935 (313*2π)/21377 weeks
314-.00936 -.01971 (314*2π)/21377 weeks
315.02655 -.03163 (315*2π)/21377 weeks
316.00842 -.04571 (316*2π)/21377 weeks
317.00523 -.0454 (317*2π)/21377 weeks
318.01967 -.03837 (318*2π)/21377 weeks
319.02479 -.07169 (319*2π)/21377 weeks
320.01786 -.07376 (320*2π)/21377 weeks
321-.03523 -.09908 (321*2π)/21377 weeks
322-.05319 -.02703 (322*2π)/21377 weeks
323.01029 -.00888 (323*2π)/21377 weeks
324.0292 -.04374 (324*2π)/21377 weeks
325.01283 -.07155 (325*2π)/21377 weeks
326-.00712 -.04592 (326*2π)/21377 weeks
327.03785 -.06016 (327*2π)/21377 weeks
328.00916 -.09071 (328*2π)/21377 weeks
329-.00721 -.07233 (329*2π)/21376 weeks
330-.01198 -.07809 (330*2π)/21376 weeks
331-.01338 -.05618 (331*2π)/21376 weeks
332.03184 -.06593 (332*2π)/21376 weeks
333.01075 -.11811 (333*2π)/21376 weeks
334-.06587 -.11237 (334*2π)/21376 weeks
335-.04926 -.02021 (335*2π)/21376 weeks
336.00621 -.07733 (336*2π)/21376 weeks
337-.03554 -.07882 (337*2π)/21376 weeks
338-.04437 -.04042 (338*2π)/21376 weeks
339.01636 -.04985 (339*2π)/21376 weeks
340-.02173 -.09579 (340*2π)/21376 weeks
341-.07016 -.04844 (341*2π)/21376 weeks
342.00988 -.01777 (342*2π)/21376 weeks
343.02326 -.07854 (343*2π)/21376 weeks
344-.015 -.08555 (344*2π)/21376 weeks
345-.02152 -.08883 (345*2π)/21376 weeks
346-.02765 -.08873 (346*2π)/21376 weeks
347-.06589 -.11795 (347*2π)/21376 weeks
348-.09888 -.00711 (348*2π)/21376 weeks
349.00491 -.03982 (349*2π)/21376 weeks
350-.06135 -.07412 (350*2π)/21376 weeks
351-.07689 -.01492 (351*2π)/21376 weeks
352.00582 .02724 (352*2π)/21376 weeks
353.03216 -.06467 (353*2π)/21376 weeks
354-.02336 -.0678 (354*2π)/21376 weeks
355-.01793 -.04301 (355*2π)/21376 weeks
356-.0122 -.05282 (356*2π)/21376 weeks
357-.01198 -.05863 (357*2π)/21376 weeks
358-.02692 -.07236 (358*2π)/21376 weeks
359-.03428 -.04527 (359*2π)/21376 weeks
360-.02293 -.05323 (360*2π)/21376 weeks
361-.03965 -.04529 (361*2π)/21376 weeks
362-.03302 -.00975 (362*2π)/21376 weeks
363.02933 -.02129 (363*2π)/21376 weeks
364.01307 -.07099 (364*2π)/21376 weeks
365-.01565 -.05089 (365*2π)/21376 weeks
366.01567 -.04951 (366*2π)/21376 weeks
367.01632 -.07841 (367*2π)/21376 weeks
368-.01951 -.11647 (368*2π)/21376 weeks
369-.04502 -.06227 (369*2π)/21376 weeks
370-.03172 -.05772 (370*2π)/21376 weeks
371.00694 -.04432 (371*2π)/21376 weeks
372-.00378 -.10439 (372*2π)/21376 weeks
373-.04918 -.11182 (373*2π)/21376 weeks
374-.06517 -.06941 (374*2π)/21376 weeks
375-.06356 -.09276 (375*2π)/21376 weeks
376-.10625 -.03284 (376*2π)/21376 weeks
377-.06547 .01737 (377*2π)/21376 weeks
378.01627 -.0136 (378*2π)/21376 weeks
379-.03991 -.06357 (379*2π)/21376 weeks
380-.03483