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Fourier Analysis of TM (Toyota Motor Corporation Common)


TM (Toyota Motor Corporation Common) appears to have interesting cyclic behaviour every 162 weeks (5.5693*sine), 141 weeks (3.7848*sine), and 192 weeks (2.936*cosine).

TM (Toyota Motor Corporation Common) has an average price of 49.49 (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 8/18/1976 to 1/9/2017 for TM (Toyota Motor Corporation Common), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
049.49263   0 
19.64033 -39.66333 (1*2π)/21082,108 weeks
23.31389 -14.152 (2*2π)/21081,054 weeks
33.5709 -8.35916 (3*2π)/2108703 weeks
46.77835 -6.36565 (4*2π)/2108527 weeks
5-1.57004 -15.11618 (5*2π)/2108422 weeks
6-7.37257 -9.17482 (6*2π)/2108351 weeks
7-.24429 -.96277 (7*2π)/2108301 weeks
8-.0622 -5.72433 (8*2π)/2108264 weeks
9-1.33971 -3.31523 (9*2π)/2108234 weeks
10-.61896 -2.54836 (10*2π)/2108211 weeks
11-2.93598 -.45525 (11*2π)/2108192 weeks
122.34545 .48685 (12*2π)/2108176 weeks
13.19572 -5.56931 (13*2π)/2108162 weeks
14-.92275 -2.80937 (14*2π)/2108151 weeks
15-.94292 -3.78478 (15*2π)/2108141 weeks
16.26904 -.92383 (16*2π)/2108132 weeks
17.44951 -1.62522 (17*2π)/2108124 weeks
18-1.34472 -.3246 (18*2π)/2108117 weeks
19.10901 .05153 (19*2π)/2108111 weeks
20-.53429 -.92252 (20*2π)/2108105 weeks
21.16944 .54271 (21*2π)/2108100 weeks
222.02601 -1.11489 (22*2π)/210896 weeks
231.54307 -2.04134 (23*2π)/210892 weeks
241.12526 -1.83196 (24*2π)/210888 weeks
25.49384 -1.16311 (25*2π)/210884 weeks
26.2594 -1.18264 (26*2π)/210881 weeks
27.21934 -1.61677 (27*2π)/210878 weeks
28-.00585 -1.6214 (28*2π)/210875 weeks
29.29853 -2.47413 (29*2π)/210873 weeks
30-1.21789 -2.43572 (30*2π)/210870 weeks
31-.69737 -.63388 (31*2π)/210868 weeks
32.00921 -.07692 (32*2π)/210866 weeks
33.79601 -.16848 (33*2π)/210864 weeks
34.7447 -1.72121 (34*2π)/210862 weeks
35-1.05154 -1.30483 (35*2π)/210860 weeks
36.42577 -.7083 (36*2π)/210859 weeks
37.2174 -1.99109 (37*2π)/210857 weeks
38-.33462 -1.53117 (38*2π)/210855 weeks
39-.42035 -1.00664 (39*2π)/210854 weeks
40-.28381 -.35491 (40*2π)/210853 weeks
41.61097 -.37013 (41*2π)/210851 weeks
42-.10784 -1.1343 (42*2π)/210850 weeks
43.29234 -.6751 (43*2π)/210849 weeks
44.18855 -1.29133 (44*2π)/210848 weeks
45-.33674 -1.16001 (45*2π)/210847 weeks
46-.22244 -.566 (46*2π)/210846 weeks
47-.04235 -.68184 (47*2π)/210845 weeks
48.29102 -.70439 (48*2π)/210844 weeks
49.12482 -1.18604 (49*2π)/210843 weeks
50-.40757 -1.12961 (50*2π)/210842 weeks
51-.07099 -.64008 (51*2π)/210841 weeks
52.37858 -.9538 (52*2π)/210841 weeks
53-.35977 -1.18214 (53*2π)/210840 weeks
54-.56113 -.92271 (54*2π)/210839 weeks
55-.56926 -.9447 (55*2π)/210838 weeks
56-.73454 -.31039 (56*2π)/210838 weeks
57-.31792 -.45181 (57*2π)/210837 weeks
58-.09315 -.95885 (58*2π)/210836 weeks
59-.43734 -.19615 (59*2π)/210836 weeks
60.23003 -.32779 (60*2π)/210835 weeks
61-.38005 -.61033 (61*2π)/210835 weeks
62-.33512 -.24062 (62*2π)/210834 weeks
63-.31853 -.3832 (63*2π)/210833 weeks
64-.12242 -.28178 (64*2π)/210833 weeks
65.09121 -.62568 (65*2π)/210832 weeks
66.04662 -.56806 (66*2π)/210832 weeks
67.34086 -.22714 (67*2π)/210831 weeks
68.27412 -.58601 (68*2π)/210831 weeks
69-.13376 -.66395 (69*2π)/210831 weeks
70-.38687 -.51131 (70*2π)/210830 weeks
71-.23069 -.14634 (71*2π)/210830 weeks
72.07441 -.49087 (72*2π)/210829 weeks
73.08175 -.53688 (73*2π)/210829 weeks
74.25489 -.35705 (74*2π)/210828 weeks
75.32745 -.50083 (75*2π)/210828 weeks
76.07368 -.37884 (76*2π)/210828 weeks
77-.08969 -.44803 (77*2π)/210827 weeks
78-.14357 -.31489 (78*2π)/210827 weeks
79-.16039 -.54068 (79*2π)/210827 weeks
80.06003 -.20863 (80*2π)/210826 weeks
81.27028 -.6091 (81*2π)/210826 weeks
82.32818 -.4392 (82*2π)/210826 weeks
83.11546 -.69233 (83*2π)/210825 weeks
84-.1228 -.4285 (84*2π)/210825 weeks
85-.19527 -.49915 (85*2π)/210825 weeks
86-.42778 -.33695 (86*2π)/210825 weeks
87-.0548 -.56467 (87*2π)/210824 weeks
88-.13913 -.30567 (88*2π)/210824 weeks
89-.01945 -.26431 (89*2π)/210824 weeks
90.17334 -.2688 (90*2π)/210823 weeks
91-.02908 -.28002 (91*2π)/210823 weeks
92-.03082 -.08352 (92*2π)/210823 weeks
93-.15037 -.40627 (93*2π)/210823 weeks
94.08721 -.39026 (94*2π)/210822 weeks
95-.00246 -.49065 (95*2π)/210822 weeks
96-.16673 -.2407 (96*2π)/210822 weeks
97.41335 -.25451 (97*2π)/210822 weeks
98-.04272 -.28527 (98*2π)/210822 weeks
99.03954 -.25452 (99*2π)/210821 weeks
100.00841 -.19927 (100*2π)/210821 weeks
101.11974 -.26268 (101*2π)/210821 weeks
102.33015 -.48457 (102*2π)/210821 weeks
103-.23323 -.78447 (103*2π)/210820 weeks
104.06819 -.28226 (104*2π)/210820 weeks
105-.01892 -.41283 (105*2π)/210820 weeks
106-.09731 .0527 (106*2π)/210820 weeks
107.09306 -.31493 (107*2π)/210820 weeks
108-.08908 -.05868 (108*2π)/210820 weeks
109.54636 .04494 (109*2π)/210819 weeks
110.09413 -.70738 (110*2π)/210819 weeks
111.17826 -.48134 (111*2π)/210819 weeks
112-.20813 -.50903 (112*2π)/210819 weeks
113-.03504 -.2125 (113*2π)/210819 weeks
114-.06828 -.46558 (114*2π)/210818 weeks
115.06768 -.29342 (115*2π)/210818 weeks
116.09635 -.5864 (116*2π)/210818 weeks
117-.05364 -.54607 (117*2π)/210818 weeks
118-.14506 -.38765 (118*2π)/210818 weeks
119-.24031 -.35236 (119*2π)/210818 weeks
120-.02381 -.1347 (120*2π)/210818 weeks
121.02335 -.44673 (121*2π)/210817 weeks
122-.30937 -.39222 (122*2π)/210817 weeks
123-.20568 -.35527 (123*2π)/210817 weeks
124-.25441 -.18792 (124*2π)/210817 weeks
125.17709 -.19686 (125*2π)/210817 weeks
126.01272 -.41613 (126*2π)/210817 weeks
127-.19251 -.34482 (127*2π)/210817 weeks
128-.09672 -.49215 (128*2π)/210816 weeks
129-.36837 -.06707 (129*2π)/210816 weeks
130.04133 -.04257 (130*2π)/210816 weeks
131.34755 -.36373 (131*2π)/210816 weeks
132.14759 -.51237 (132*2π)/210816 weeks
133-.21319 -.52093 (133*2π)/210816 weeks
134-.45648 -.09048 (134*2π)/210816 weeks
135-.01975 .06791 (135*2π)/210816 weeks
136.16651 -.31971 (136*2π)/210816 weeks
137-.13027 -.37852 (137*2π)/210815 weeks
138-.02161 -.40341 (138*2π)/210815 weeks
139-.00472 -.15243 (139*2π)/210815 weeks
140.1433 -.37686 (140*2π)/210815 weeks
141-.15262 -.33175 (141*2π)/210815 weeks
142-.09313 -.13288 (142*2π)/210815 weeks
143-.09129 -.46356 (143*2π)/210815 weeks
144-.39248 -.26421 (144*2π)/210815 weeks
145.01539 -.3981 (145*2π)/210815 weeks
146-.20898 -.31662 (146*2π)/210814 weeks
147-.03715 -.17769 (147*2π)/210814 weeks
148-.15117 -.15432 (148*2π)/210814 weeks
149.01128 -.04035 (149*2π)/210814 weeks
150-.05499 -.15113 (150*2π)/210814 weeks
151-.16089 -.22693 (151*2π)/210814 weeks
152-.00582 -.37857 (152*2π)/210814 weeks
153-.19123 -.2837 (153*2π)/210814 weeks
154.05031 .01485 (154*2π)/210814 weeks
155.16349 -.41062 (155*2π)/210814 weeks
156-.23092 -.23455 (156*2π)/210814 weeks
157.02569 -.02491 (157*2π)/210813 weeks
158-.15308 -.29833 (158*2π)/210813 weeks
159-.13113 -.19482 (159*2π)/210813 weeks
160-.08746 -.29463 (160*2π)/210813 weeks
161-.04349 -.05996 (161*2π)/210813 weeks
162.03462 -.37705 (162*2π)/210813 weeks
163-.08775 -.03038 (163*2π)/210813 weeks
164.1313 -.32874 (164*2π)/210813 weeks
165-.15685 -.27987 (165*2π)/210813 weeks
166-.11694 -.19724 (166*2π)/210813 weeks
167-.1319 -.30712 (167*2π)/210813 weeks
168-.0361 -.21288 (168*2π)/210813 weeks
169-.07406 -.21044 (169*2π)/210812 weeks
170-.15686 -.10714 (170*2π)/210812 weeks
171-.08964 -.22515 (171*2π)/210812 weeks
172-.12718 .05567 (172*2π)/210812 weeks
173.14284 -.17103 (173*2π)/210812 weeks
174-.09846 -.37954 (174*2π)/210812 weeks
175-.1269 -.29578 (175*2π)/210812 weeks
176-.04431 -.08136 (176*2π)/210812 weeks
177.05534 -.11776 (177*2π)/210812 weeks
178.00428 -.31356 (178*2π)/210812 weeks
179-.30594 -.41057 (179*2π)/210812 weeks
180-.30512 -.12884 (180*2π)/210812 weeks
181-.22255 -.14099 (181*2π)/210812 weeks
182-.08962 .03214 (182*2π)/210812 weeks
183.05411 -.17743 (183*2π)/210812 weeks
184.02133 .06767 (184*2π)/210811 weeks
185.14963 -.09922 (185*2π)/210811 weeks
186.01592 -.20631 (186*2π)/210811 weeks
187-.08996 -.24134 (187*2π)/210811 weeks
188-.13676 -.17307 (188*2π)/210811 weeks
189.03041 -.16657 (189*2π)/210811 weeks
190.02648 -.2316 (190*2π)/210811 weeks
191.0468 -.28245 (191*2π)/210811 weeks
192-.00922 -.1323 (192*2π)/210811 weeks
193.11758 -.17371 (193*2π)/210811 weeks
194-.16856 -.18236 (194*2π)/210811 weeks
195-.01158 -.23664 (195*2π)/210811 weeks
196-.0633 -.12922 (196*2π)/210811 weeks
197.15196 -.26794 (197*2π)/210811 weeks
198-.12111 -.31208 (198*2π)/210811 weeks
199.05096 -.27586 (199*2π)/210811 weeks
200-.14808 -.31718 (200*2π)/210811 weeks
201-.23744 -.12066 (201*2π)/210810 weeks
202-.19101 -.19158 (202*2π)/210810 weeks
203-.08266 -.14974 (203*2π)/210810 weeks
204-.09682 -.11789 (204*2π)/210810 weeks
205-.06029 -.20309 (205*2π)/210810 weeks
206-.10143 -.15918 (206*2π)/210810 weeks
207.05898 -.03162 (207*2π)/210810 weeks
208-.01755 -.29578 (208*2π)/210810 weeks
209-.08626 -.26476 (209*2π)/210810 weeks
210-.22623 -.26538 (210*2π)/210810 weeks
211-.1868 .05089 (211*2π)/210810 weeks
212.10873 -.09231 (212*2π)/210810 weeks
213.07052 -.28246 (213*2π)/210810 weeks
214-.12142 -.27498 (214*2π)/210810 weeks
215-.24245 -.15847 (215*2π)/210810 weeks
216-.18134 -.10011 (216*2π)/210810 weeks
217-.03288 .05135 (217*2π)/210810 weeks
218.14259 -.14339 (218*2π)/210810 weeks
219-.07563 -.24903 (219*2π)/210810 weeks
220-.05279 -.12352 (220*2π)/210810 weeks
221-.00536 -.13259 (221*2π)/210810 weeks
222.02855 -.18036 (222*2π)/21089 weeks
223-.10362 -.28876 (223*2π)/21089 weeks
224-.0807 -.15145 (224*2π)/21089 weeks
225-.02986 -.16654 (225*2π)/21089 weeks
226-.05639 -.233 (226*2π)/21089 weeks
227-.1009 -.07032 (227*2π)/21089 weeks
228-.0124 -.08668 (228*2π)/21089 weeks
229-.08768 -.11246 (229*2π)/21089 weeks
230-.04734 -.24159 (230*2π)/21089 weeks
231-.13414 -.16977 (231*2π)/21089 weeks
232-.08242 -.21433 (232*2π)/21089 weeks
233-.13419 -.18635 (233*2π)/21089 weeks
234-.05913 -.05607 (234*2π)/21089 weeks
235-.10524 -.16064 (235*2π)/21089 weeks
236-.18516 .00968 (236*2π)/21089 weeks
237-.09247 -.10545 (237*2π)/21089 weeks
238-.19435 -.07008 (238*2π)/21089 weeks
239-.02429 -.08706 (239*2π)/21089 weeks
240-.02402 -.12033 (240*2π)/21089 weeks
241.02944 -.03319 (241*2π)/21089 weeks
242.07213 -.22439 (242*2π)/21089 weeks
243-.08639 -.00406 (243*2π)/21089 weeks
244-.01636 -.01523 (244*2π)/21089 weeks
245-.04277 -.17091 (245*2π)/21089 weeks
246-.19042 -.19429 (246*2π)/21089 weeks
247-.10382 -.00203 (247*2π)/21089 weeks
248.01827 -.05507 (248*2π)/21089 weeks
249-.00831 -.17844 (249*2π)/21088 weeks
250-.06887 -.12118 (250*2π)/21088 weeks
251-.03336 -.06914 (251*2π)/21088 weeks
252-.16602 -.0809 (252*2π)/21088 weeks
253-.01794 -.05239 (253*2π)/21088 weeks
254-.03688 -.17554 (254*2π)/21088 weeks
255-.04454 -.03207 (255*2π)/21088 weeks
256.06351 -.1314 (256*2π)/21088 weeks
257-.05952 -.27247 (257*2π)/21088 weeks
258-.11581 -.07646 (258*2π)/21088 weeks
259-.12798 -.02512 (259*2π)/21088 weeks
260-.0035 -.04691 (260*2π)/21088 weeks
261.01344 -.13237 (261*2π)/21088 weeks
262-.0662 -.16978 (262*2π)/21088 weeks
263-.11188 -.09826 (263*2π)/21088 weeks
264-.05181 -.08498 (264*2π)/21088 weeks
265-.04526 -.05128 (265*2π)/21088 weeks
266-.02321 -.12997 (266*2π)/21088 weeks
267-.0348 -.1872 (267*2π)/21088 weeks
268-.10821 -.11849 (268*2π)/21088 weeks
269-.09144 -.12097 (269*2π)/21088 weeks
270-.02025 -.01763 (270*2π)/21088 weeks
271.01933 -.09133 (271*2π)/21088 weeks
272-.01802 -.15067 (272*2π)/21088 weeks
273-.16403 -.16232 (273*2π)/21088 weeks
274-.12748 .06447 (274*2π)/21088 weeks
275.04353 -.06575 (275*2π)/21088 weeks
276.01681 -.11347 (276*2π)/21088 weeks
277.03734 -.14749 (277*2π)/21088 weeks
278-.13708 -.08628 (278*2π)/21088 weeks
279.01117 -.0789 (279*2π)/21088 weeks
280-.07956 -.00632 (280*2π)/21088 weeks
281.05104 -.07494 (281*2π)/21088 weeks
282.0422 -.29171 (282*2π)/21087 weeks
283-.12664 -.21355 (283*2π)/21087 weeks
284-.07312 -.05503 (284*2π)/21087 weeks
285-.00136 .01691 (285*2π)/21087 weeks
286.08536 -.09051 (286*2π)/21087 weeks
287-.01422 -.2023 (287*2π)/21087 weeks
288-.15698 -.01414 (288*2π)/21087 weeks
289-.01516 -.08319 (289*2π)/21087 weeks
290-.09772 -.10629 (290*2π)/21087 weeks
291.1285 -.06397 (291*2π)/21087 weeks
292-.04443 -.19201 (292*2π)/21087 weeks
293-.0574 -.03963 (293*2π)/21087 weeks
294.07507 -.14105 (294*2π)/21087 weeks
295-.09716 -.0649 (295*2π)/21087 weeks
296-.01729