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Fourier Analysis of XRX (Xerox Holdings Corporation)


XRX (Xerox Holdings Corporation) appears to have interesting cyclic behaviour every 204 weeks (4.1037*sine), 225 weeks (3.5718*cosine), and 160 weeks (2.3747*cosine).

XRX (Xerox Holdings Corporation) has an average price of 24.8 (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 1/3/1977 to 1/13/2020 for XRX (Xerox Holdings Corporation), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
024.8019   0 
1-17.61245 -9.14599 (1*2π)/22462,246 weeks
213.20827 -4.77001 (2*2π)/22461,123 weeks
3-8.33231 .02325 (3*2π)/2246749 weeks
49.14528 -6.13715 (4*2π)/2246562 weeks
5-9.42723 .56475 (5*2π)/2246449 weeks
67.43182 .2675 (6*2π)/2246374 weeks
7-5.26644 -2.9775 (7*2π)/2246321 weeks
84.94929 .49619 (8*2π)/2246281 weeks
9-3.38429 -2.57935 (9*2π)/2246250 weeks
103.57176 .73816 (10*2π)/2246225 weeks
11-2.0983 -4.10372 (11*2π)/2246204 weeks
12.1994 1.13814 (12*2π)/2246187 weeks
13-1.46153 -1.14542 (13*2π)/2246173 weeks
142.37469 1.474 (14*2π)/2246160 weeks
15-.50189 -2.43347 (15*2π)/2246150 weeks
16-.07474 .79243 (16*2π)/2246140 weeks
17.83961 -1.49544 (17*2π)/2246132 weeks
18.01891 .20554 (18*2π)/2246125 weeks
19.44876 -1.60865 (19*2π)/2246118 weeks
20-.187 -.32136 (20*2π)/2246112 weeks
21.53677 -.49524 (21*2π)/2246107 weeks
22-.36006 -.40569 (22*2π)/2246102 weeks
23.29051 -.69866 (23*2π)/224698 weeks
24-.2544 -.45301 (24*2π)/224694 weeks
25.53096 -.52296 (25*2π)/224690 weeks
26-.42496 -.25756 (26*2π)/224686 weeks
27.4613 -1.00449 (27*2π)/224683 weeks
28-.83402 -.11075 (28*2π)/224680 weeks
29.65858 -.6673 (29*2π)/224677 weeks
30-.71657 -.23879 (30*2π)/224675 weeks
31.38035 -.28397 (31*2π)/224672 weeks
32-.90157 -.47315 (32*2π)/224670 weeks
33.90741 .551 (33*2π)/224668 weeks
34-.23004 -.99455 (34*2π)/224666 weeks
35.22913 .06892 (35*2π)/224664 weeks
36-.60276 -.87969 (36*2π)/224662 weeks
37.2219 .59977 (37*2π)/224661 weeks
38.1133 -1.00163 (38*2π)/224659 weeks
39-.50272 .45685 (39*2π)/224658 weeks
40.40094 -.81461 (40*2π)/224656 weeks
41-.58415 .50291 (41*2π)/224655 weeks
42.68374 -.99259 (42*2π)/224653 weeks
43-.70257 .75134 (43*2π)/224652 weeks
44.83335 -.9694 (44*2π)/224651 weeks
45-.86306 .32424 (45*2π)/224650 weeks
461.11341 -.56749 (46*2π)/224649 weeks
47-1.16127 -.05261 (47*2π)/224648 weeks
48.9177 -.07625 (48*2π)/224647 weeks
49-.32189 -.17485 (49*2π)/224646 weeks
50.19528 -.35337 (50*2π)/224645 weeks
51-.11684 -.03352 (51*2π)/224644 weeks
52.17208 -.13163 (52*2π)/224643 weeks
53.10278 -.13433 (53*2π)/224642 weeks
54-.10172 -.33821 (54*2π)/224642 weeks
55.26377 .05769 (55*2π)/224641 weeks
56-.14994 -.3191 (56*2π)/224640 weeks
57.48079 -.01227 (57*2π)/224639 weeks
58-.18907 -.44865 (58*2π)/224639 weeks
59.23186 .14004 (59*2π)/224638 weeks
60-.07912 -.45529 (60*2π)/224637 weeks
61.37675 .11478 (61*2π)/224637 weeks
62-.11523 -.42707 (62*2π)/224636 weeks
63.27603 -.01966 (63*2π)/224636 weeks
64-.27779 -.52071 (64*2π)/224635 weeks
65.38983 .26495 (65*2π)/224635 weeks
66-.17441 -.87677 (66*2π)/224634 weeks
67.14857 .47298 (67*2π)/224634 weeks
68-.10154 -.81145 (68*2π)/224633 weeks
69.21695 .5181 (69*2π)/224633 weeks
70.00911 -.71482 (70*2π)/224632 weeks
71.36075 .24133 (71*2π)/224632 weeks
72-.21317 -.86937 (72*2π)/224631 weeks
73.04134 .14225 (73*2π)/224631 weeks
74-.09494 -.30733 (74*2π)/224630 weeks
75.26642 -.07358 (75*2π)/224630 weeks
76-.06262 -.55654 (76*2π)/224630 weeks
77-.15712 -.04325 (77*2π)/224629 weeks
78.0599 -.2758 (78*2π)/224629 weeks
79-.04932 -.23906 (79*2π)/224628 weeks
80.01823 -.34907 (80*2π)/224628 weeks
81-.17381 -.17886 (81*2π)/224628 weeks
82-.08491 -.20003 (82*2π)/224627 weeks
83-.11743 -.03891 (83*2π)/224627 weeks
84-.12637 -.22729 (84*2π)/224627 weeks
85-.0636 -.0001 (85*2π)/224626 weeks
86.09686 -.02866 (86*2π)/224626 weeks
87-.17465 -.15484 (87*2π)/224626 weeks
88.12545 -.08016 (88*2π)/224626 weeks
89-.04525 -.08394 (89*2π)/224625 weeks
90.04147 -.10621 (90*2π)/224625 weeks
91-.01145 -.08319 (91*2π)/224625 weeks
92.07738 -.21683 (92*2π)/224624 weeks
93-.12421 -.07721 (93*2π)/224624 weeks
94.21752 -.20011 (94*2π)/224624 weeks
95-.1672 -.20316 (95*2π)/224624 weeks
96.00441 -.21857 (96*2π)/224623 weeks
97-.1666 -.06778 (97*2π)/224623 weeks
98.09682 -.05089 (98*2π)/224623 weeks
99-.07999 -.21462 (99*2π)/224623 weeks
100.06495 -.00922 (100*2π)/224622 weeks
101-.04754 -.21403 (101*2π)/224622 weeks
102.12424 .01431 (102*2π)/224622 weeks
103-.06223 -.35403 (103*2π)/224622 weeks
104-.08331 .04081 (104*2π)/224622 weeks
105.12705 -.19395 (105*2π)/224621 weeks
106.04472 -.07973 (106*2π)/224621 weeks
107-.04355 -.48776 (107*2π)/224621 weeks
108-.18404 .10598 (108*2π)/224621 weeks
109.04504 -.36998 (109*2π)/224621 weeks
110-.06217 .0611 (110*2π)/224620 weeks
111-.14366 -.40578 (111*2π)/224620 weeks
112.02021 .15202 (112*2π)/224620 weeks
113-.03595 -.32665 (113*2π)/224620 weeks
114.07129 -.06081 (114*2π)/224620 weeks
115-.3892 -.26677 (115*2π)/224620 weeks
116.22678 .08156 (116*2π)/224619 weeks
117-.30671 -.38995 (117*2π)/224619 weeks
118.10423 .03808 (118*2π)/224619 weeks
119-.46274 -.21864 (119*2π)/224619 weeks
120.21176 .13151 (120*2π)/224619 weeks
121-.28697 -.27072 (121*2π)/224619 weeks
122.10758 .02106 (122*2π)/224618 weeks
123-.36071 -.17665 (123*2π)/224618 weeks
124.11355 .208 (124*2π)/224618 weeks
125-.05953 -.26006 (125*2π)/224618 weeks
126-.07519 .07756 (126*2π)/224618 weeks
127.0052 -.13375 (127*2π)/224618 weeks
128-.09559 -.00005 (128*2π)/224618 weeks
129.14617 -.13998 (129*2π)/224617 weeks
130-.28313 -.08851 (130*2π)/224617 weeks
131.05739 .05552 (131*2π)/224617 weeks
132-.12531 -.05569 (132*2π)/224617 weeks
133.10126 .02903 (133*2π)/224617 weeks
134-.08115 -.16303 (134*2π)/224617 weeks
135-.09112 .09696 (135*2π)/224617 weeks
136.16694 -.10923 (136*2π)/224617 weeks
137-.05155 -.13182 (137*2π)/224616 weeks
138-.07402 -.18161 (138*2π)/224616 weeks
139-.25311 .03786 (139*2π)/224616 weeks
140.10408 .05113 (140*2π)/224616 weeks
141-.07291 -.03712 (141*2π)/224616 weeks
142-.01048 -.05766 (142*2π)/224616 weeks
143-.04133 .04581 (143*2π)/224616 weeks
144.03636 -.01303 (144*2π)/224616 weeks
145-.00534 -.026 (145*2π)/224615 weeks
146.08373 -.07996 (146*2π)/224615 weeks
147-.03282 .01216 (147*2π)/224615 weeks
148.12261 -.13475 (148*2π)/224615 weeks
149-.07242 -.09163 (149*2π)/224615 weeks
150.13255 -.02307 (150*2π)/224615 weeks
151-.12274 -.18549 (151*2π)/224615 weeks
152.09007 .04755 (152*2π)/224615 weeks
153-.08221 -.29288 (153*2π)/224615 weeks
154.06908 .11643 (154*2π)/224615 weeks
155-.17133 -.2649 (155*2π)/224614 weeks
156.12519 .16859 (156*2π)/224614 weeks
157-.09946 -.32952 (157*2π)/224614 weeks
158.10514 .1774 (158*2π)/224614 weeks
159-.12806 -.36247 (159*2π)/224614 weeks
160.08017 .11481 (160*2π)/224614 weeks
161-.15328 -.29465 (161*2π)/224614 weeks
162.02894 .12149 (162*2π)/224614 weeks
163-.14309 -.21409 (163*2π)/224614 weeks
164.03617 .04074 (164*2π)/224614 weeks
165-.1578 -.12067 (165*2π)/224614 weeks
166.07088 .10146 (166*2π)/224614 weeks
167-.16064 -.11105 (167*2π)/224613 weeks
168.09843 .05889 (168*2π)/224613 weeks
169-.0778 -.14197 (169*2π)/224613 weeks
170.01567 .07983 (170*2π)/224613 weeks
171.02003 -.09003 (171*2π)/224613 weeks
172-.05415 -.12395 (172*2π)/224613 weeks
173-.02987 -.01808 (173*2π)/224613 weeks
174.00611 -.02868 (174*2π)/224613 weeks
175-.07057 -.00479 (175*2π)/224613 weeks
176.05734 -.03234 (176*2π)/224613 weeks
177-.02697 -.05052 (177*2π)/224613 weeks
178.11366 -.10391 (178*2π)/224613 weeks
179-.16413 -.0961 (179*2π)/224613 weeks
180.11142 .02071 (180*2π)/224612 weeks
181-.14344 -.08512 (181*2π)/224612 weeks
182.17077 -.00341 (182*2π)/224612 weeks
183-.11613 -.19037 (183*2π)/224612 weeks
184.04178 .03216 (184*2π)/224612 weeks
185-.12374 -.10447 (185*2π)/224612 weeks
186.15138 -.0017 (186*2π)/224612 weeks
187-.18151 -.17915 (187*2π)/224612 weeks
188.07414 .05662 (188*2π)/224612 weeks
189-.02531 -.18064 (189*2π)/224612 weeks
190-.07102 .09173 (190*2π)/224612 weeks
191.05933 -.20434 (191*2π)/224612 weeks
192-.06614 .05024 (192*2π)/224612 weeks
193.09626 -.2155 (193*2π)/224612 weeks
194-.16563 .0096 (194*2π)/224612 weeks
195-.01782 -.13708 (195*2π)/224612 weeks
196-.0609 -.02634 (196*2π)/224611 weeks
197-.12393 -.0747 (197*2π)/224611 weeks
198-.01348 .08202 (198*2π)/224611 weeks
199-.03112 -.08925 (199*2π)/224611 weeks
200-.06948 .0238 (200*2π)/224611 weeks
201-.04042 -.12608 (201*2π)/224611 weeks
202-.07964 .07556 (202*2π)/224611 weeks
203.03964 -.08369 (203*2π)/224611 weeks
204-.15356 .03181 (204*2π)/224611 weeks
205.07241 -.02854 (205*2π)/224611 weeks
206-.11198 .00023 (206*2π)/224611 weeks
207.04717 -.03923 (207*2π)/224611 weeks
208-.11281 .0097 (208*2π)/224611 weeks
209.05632 .03118 (209*2π)/224611 weeks
210-.05982 -.04307 (210*2π)/224611 weeks
211.00404 .04159 (211*2π)/224611 weeks
212.00691 -.03543 (212*2π)/224611 weeks
213.02719 .03993 (213*2π)/224611 weeks
214.01232 -.09061 (214*2π)/224610 weeks
215-.06587 .11934 (215*2π)/224610 weeks
216.11616 -.13013 (216*2π)/224610 weeks
217-.08656 .08993 (217*2π)/224610 weeks
218.12992 -.13614 (218*2π)/224610 weeks
219-.16435 .11055 (219*2π)/224610 weeks
220.21472 -.10369 (220*2π)/224610 weeks
221-.1666 .05721 (221*2π)/224610 weeks
222.17622 -.07307 (222*2π)/224610 weeks
223-.05264 .04598 (223*2π)/224610 weeks
224.13753 -.10071 (224*2π)/224610 weeks
225-.13523 -.00587 (225*2π)/224610 weeks
226.15125 .00014 (226*2π)/224610 weeks
227-.00969 -.1031 (227*2π)/224610 weeks
228.11002 -.0702 (228*2π)/224610 weeks
229-.11313 -.04874 (229*2π)/224610 weeks
230.11596 -.0208 (230*2π)/224610 weeks
231-.05602 -.09274 (231*2π)/224610 weeks
232.07942 -.00582 (232*2π)/224610 weeks
233-.01575 -.13026 (233*2π)/224610 weeks
234.00268 .04571 (234*2π)/224610 weeks
235.05165 -.17888 (235*2π)/224610 weeks
236-.09172 .02427 (236*2π)/224610 weeks
237.08415 -.11308 (237*2π)/22469 weeks
238-.05844 -.00171 (238*2π)/22469 weeks
239.03548 -.09346 (239*2π)/22469 weeks
240-.08333 .04772 (240*2π)/22469 weeks
241.14669 -.12918 (241*2π)/22469 weeks
242-.12327 -.01124 (242*2π)/22469 weeks
243.13422 -.09334 (243*2π)/22469 weeks
244-.16461 -.03637 (244*2π)/22469 weeks
245.14693 -.01653 (245*2π)/22469 weeks
246-.14031 -.10193 (246*2π)/22469 weeks
247.12577 -.02096 (247*2π)/22469 weeks
248-.12986 -.09121 (248*2π)/22469 weeks
249.10195 .0241 (249*2π)/22469 weeks
250-.08851 -.12951 (250*2π)/22469 weeks
251.08227 .01694 (251*2π)/22469 weeks
252-.01838 -.15246 (252*2π)/22469 weeks
253-.01536 .02791 (253*2π)/22469 weeks
254.0018 -.15462 (254*2π)/22469 weeks
255-.12079 .0656 (255*2π)/22469 weeks
256.10258 -.0883 (256*2π)/22469 weeks
257-.1138 -.00896 (257*2π)/22469 weeks
258.0936 -.02193 (258*2π)/22469 weeks
259-.10167 -.05709 (259*2π)/22469 weeks
260.13412 .01616 (260*2π)/22469 weeks
261-.08488 -.14256 (261*2π)/22469 weeks
262.06469 .03995 (262*2π)/22469 weeks
263-.02832 -.18161 (263*2π)/22469 weeks
264.00422 .03788 (264*2π)/22469 weeks
265-.03349 -.18172 (265*2π)/22468 weeks
266-.03149 .06334 (266*2π)/22468 weeks
267.04664 -.14345 (267*2π)/22468 weeks
268-.07393 .02117 (268*2π)/22468 weeks
269.02089 -.07065 (269*2π)/22468 weeks
270-.0479 -.01857 (270*2π)/22468 weeks
271.05259 -.05124 (271*2π)/22468 weeks
272-.03158 -.03525 (272*2π)/22468 weeks
273.07181 -.0608 (273*2π)/22468 weeks
274-.0383 -.13425 (274*2π)/22468 weeks
275-.0626 -.01325 (275*2π)/22468 weeks
276-.01658 -.09149 (276*2π)/22468 weeks
277-.0217 -.00036 (277*2π)/22468 weeks
278.04265 -.03347 (278*2π)/22468 weeks
279-.04944 -.11649 (279*2π)/22468 weeks
280.00228 .00665 (280*2π)/22468 weeks
281-.04613 -.11708 (281*2π)/22468 weeks
282.00945 .03922 (282*2π)/22468 weeks
283-.01413 -.0669 (283*2π)/22468 weeks
284.00311 -.07591 (284*2π)/22468 weeks
285-.06913 -.05592 (285*2π)/22468 weeks
286.02024 -.06188 (286*2π)/22468 weeks
287-.08125 -.01521 (287*2π)/22468 weeks
288.10274 -.08067 (288*2π)/22468 weeks
289-.13673 -.07367 (289*2π)/22468 weeks
290.02156 -.08044 (290*2π)/22468 weeks
291-.12131 .02625 (291*2π)/22468 weeks
292.08508 -.12195 (292*2π)/22468 weeks
293-.17311 -.01654 (293*2π)/22468 weeks
294.01958 -.0068 (294*2π)/22468 weeks
295-.0474 .04568 (295*2π)/22468 weeks
296.0458 -.11916 (296*2π)/22468 weeks
297-.03424 .05296 (297*2π)/22468 weeks
298-.01906 -.11638 (298*2π)/22468 weeks
299.03482 .07788 (299*2π)/22468 weeks
300.02211 -.20502 (300*2π)/22467 weeks
301-.05068 .00006 (301*2π)/22467 weeks
302-.05596 -.06444 (302*2π)/22467 weeks
303.00899 -.00795 (303*2π)/22467 weeks
304-.09365 -.08946 (304*2π)/22467 weeks
305.00252 -.00514 (305*2π)/22467 weeks
306-.06025 -.00714 (306*2π)/22467 weeks
307.00772 -.04955 (307*2π)/22467 weeks
308-.03281 -.01337 (308*2π)/22467 weeks
309-.0066 -.07567 (309*2π)/22467 weeks
310-.05785 -.06938 (310*2π)/22467 weeks
311-.09899 -.01636 (311*2π)/22467 weeks
312-.00406 .02755 (312*2π)/22467 weeks
313.00492 .00931 (313*2π)/22467 weeks
314.01755 -.0659 (314*2π)/22467 weeks
315-.0951 -.00967 (315*2π)/22467 weeks
316.01496 -.03434 (316*2π)/22467 weeks
317-.02541 .00105 (317*2π)/22467 weeks
318-.00226 -.01857 (318*2π)/22467 weeks
319-.04246 -.02152 (319*2π)/22467 weeks
320.04472 -.03802 (320*2π)/22467 weeks
321-.03576 -.04677 (321*2π)/22467 weeks
322.01273 .01874 (322*2π)/22467 weeks
323.02782 -.04785 (323*2π)/22467 weeks
324-.03763 -.11033 (324*2π)/22467 weeks
325-.04232 -.02891 (325*2π)/22467 weeks
326-.0525 -.01848 (326*2π)/22467 weeks
327.0158 -.02119 (327*2π)/22467 weeks
328-.0598