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Fourier Analysis of TECUB (Tecumseh Products Company)

TECUB (Tecumseh Products Company) appears to have interesting cyclic behaviour every 146 weeks (1.4339*sine), 168 weeks (.9688*cosine), and 182 weeks (.9294*sine).

TECUB (Tecumseh Products Company) has an average price of 17.42 (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 6/1/1972 to 4/28/2014 for TECUB (Tecumseh Products Company), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
017.41528   0
1-11.17735 -14.28459 (1*2π)/21832,183 weeks
2-2.58383 4.44728 (2*2π)/21831,092 weeks
3.92368 -.13837 (3*2π)/2183728 weeks
4.28677 .71906 (4*2π)/2183546 weeks
5.51448 -2.29423 (5*2π)/2183437 weeks
6-1.06461 .7796 (6*2π)/2183364 weeks
7.21768 .48959 (7*2π)/2183312 weeks
81.68158 .33829 (8*2π)/2183273 weeks
9-.18882 -1.05281 (9*2π)/2183243 weeks
10.21005 -.1503 (10*2π)/2183218 weeks
11-.63551 -.28865 (11*2π)/2183198 weeks
12-.00819 .92938 (12*2π)/2183182 weeks
13.96885 .45905 (13*2π)/2183168 weeks
14.86315 -.92245 (14*2π)/2183156 weeks
15-.13879 -1.4339 (15*2π)/2183146 weeks
16-.91967 .18551 (16*2π)/2183136 weeks
17.18776 -.38535 (17*2π)/2183128 weeks
18-.7647 -.17104 (18*2π)/2183121 weeks
19-.08837 .11067 (19*2π)/2183115 weeks
20-.31669 .63347 (20*2π)/2183109 weeks
21.48284 -.14589 (21*2π)/2183104 weeks
22.08863 -.15764 (22*2π)/218399 weeks
23.23477 -.72378 (23*2π)/218395 weeks
24-.73126 -.22158 (24*2π)/218391 weeks
25-.3828 .15953 (25*2π)/218387 weeks
26-.21656 .37703 (26*2π)/218384 weeks
27.27431 .30755 (27*2π)/218381 weeks
28.25204 .07306 (28*2π)/218378 weeks
29.34646 -.29824 (29*2π)/218375 weeks
30-.29157 -.40167 (30*2π)/218373 weeks
31-.04377 .0609 (31*2π)/218370 weeks
32-.15681 -.29009 (32*2π)/218368 weeks
33-.44241 .05082 (33*2π)/218366 weeks
34-.088 .36867 (34*2π)/218364 weeks
35.07216 .18288 (35*2π)/218362 weeks
36.27844 .2226 (36*2π)/218361 weeks
37.33535 -.22973 (37*2π)/218359 weeks
38-.28035 -.52952 (38*2π)/218357 weeks
39-.35924 .13277 (39*2π)/218356 weeks
40.00505 .07142 (40*2π)/218355 weeks
41-.18297 .25601 (41*2π)/218353 weeks
42.48778 .00502 (42*2π)/218352 weeks
43-.21007 -.05094 (43*2π)/218351 weeks
44.20918 .16291 (44*2π)/218350 weeks
45.3041 -.02095 (45*2π)/218349 weeks
46-.00115 -.62129 (46*2π)/218347 weeks
47-.57383 .22201 (47*2π)/218346 weeks
48.31875 .23173 (48*2π)/218345 weeks
49-.12806 -.18974 (49*2π)/218345 weeks
50.07877 .23807 (50*2π)/218344 weeks
51.30017 -.16071 (51*2π)/218343 weeks
52-.06999 -.21196 (52*2π)/218342 weeks
53.04019 -.06891 (53*2π)/218341 weeks
54-.12502 -.30919 (54*2π)/218340 weeks
55-.27989 .02418 (55*2π)/218340 weeks
56.04353 .24326 (56*2π)/218339 weeks
57.18201 -.06797 (57*2π)/218338 weeks
58.01743 -.10845 (58*2π)/218338 weeks
59-.17941 -.05675 (59*2π)/218337 weeks
60.05903 -.03415 (60*2π)/218336 weeks
61-.08191 .00517 (61*2π)/218336 weeks
62.0586 .1492 (62*2π)/218335 weeks
63.12102 -.19646 (63*2π)/218335 weeks
64-.09712 -.00714 (64*2π)/218334 weeks
65.0926 -.07948 (65*2π)/218334 weeks
66-.14678 -.1317 (66*2π)/218333 weeks
67-.0728 .20048 (67*2π)/218333 weeks
68.12107 -.06549 (68*2π)/218332 weeks
69-.06146 -.06978 (69*2π)/218332 weeks
70-.06301 .10213 (70*2π)/218331 weeks
71-.02157 -.06953 (71*2π)/218331 weeks
72-.02939 .17379 (72*2π)/218330 weeks
73.10457 .0523 (73*2π)/218330 weeks
74.06283 -.17156 (74*2π)/218330 weeks
75-.02363 -.0177 (75*2π)/218329 weeks
76.00379 -.02504 (76*2π)/218329 weeks
77-.02188 -.02543 (77*2π)/218328 weeks
78-.11418 -.0287 (78*2π)/218328 weeks
79.03517 -.07106 (79*2π)/218328 weeks
80-.1444 -.01659 (80*2π)/218327 weeks
81.08146 .07812 (81*2π)/218327 weeks
82-.01893 -.21861 (82*2π)/218327 weeks
83-.14976 .04952 (83*2π)/218326 weeks
84-.16537 -.00781 (84*2π)/218326 weeks
85-.00167 .15651 (85*2π)/218326 weeks
86.10261 -.02036 (86*2π)/218325 weeks
87-.01877 -.09251 (87*2π)/218325 weeks
88-.03143 -.06448 (88*2π)/218325 weeks
89-.16424 .06445 (89*2π)/218325 weeks
90.03503 .03852 (90*2π)/218324 weeks
91-.01879 .05571 (91*2π)/218324 weeks
92.03268 .05879 (92*2π)/218324 weeks
93.05786 -.01489 (93*2π)/218323 weeks
94.00449 -.01766 (94*2π)/218323 weeks
95-.10392 .03097 (95*2π)/218323 weeks
96.04843 .09398 (96*2π)/218323 weeks
97-.0312 .02268 (97*2π)/218323 weeks
98.11377 .09934 (98*2π)/218322 weeks
99.0892 -.1183 (99*2π)/218322 weeks
100-.05687 .09982 (100*2π)/218322 weeks
101.00034 -.01992 (101*2π)/218322 weeks
102.06722 .11718 (102*2π)/218321 weeks
103-.01497 -.05738 (103*2π)/218321 weeks
104.01391 .12017 (104*2π)/218321 weeks
105.1794 -.04661 (105*2π)/218321 weeks
106.05757 -.08559 (106*2π)/218321 weeks
107-.07522 -.16235 (107*2π)/218320 weeks
108-.15821 .03343 (108*2π)/218320 weeks
109-.06307 .05991 (109*2π)/218320 weeks
110.07824 .23133 (110*2π)/218320 weeks
111.26287 -.02632 (111*2π)/218320 weeks
112.05117 -.26478 (112*2π)/218319 weeks
113-.18517 -.11919 (113*2π)/218319 weeks
114-.01211 .12936 (114*2π)/218319 weeks
115.06555 -.1109 (115*2π)/218319 weeks
116-.10813 .08939 (116*2π)/218319 weeks
117.07939 .02001 (117*2π)/218319 weeks
118.02824 -.07074 (118*2π)/218319 weeks
119-.0021 -.03072 (119*2π)/218318 weeks
120-.01887 -.08642 (120*2π)/218318 weeks
121-.01454 -.06796 (121*2π)/218318 weeks
122-.10716 -.02897 (122*2π)/218318 weeks
123-.09645 .07288 (123*2π)/218318 weeks
124.01987 .12554 (124*2π)/218318 weeks
125.11296 -.01246 (125*2π)/218317 weeks
126-.02348 -.07914 (126*2π)/218317 weeks
127-.06557 .04315 (127*2π)/218317 weeks
128.01934 .05131 (128*2π)/218317 weeks
129.04214 -.02245 (129*2π)/218317 weeks
130-.04372 -.01915 (130*2π)/218317 weeks
131-.05469 -.0173 (131*2π)/218317 weeks
132-.02872 .05765 (132*2π)/218317 weeks
133-.02885 .0584 (133*2π)/218316 weeks
134.08977 .02384 (134*2π)/218316 weeks
135.03567 -.05688 (135*2π)/218316 weeks
136-.01499 -.05686 (136*2π)/218316 weeks
137-.01327 -.0132 (137*2π)/218316 weeks
138-.01916 .02121 (138*2π)/218316 weeks
139.02428 -.02167 (139*2π)/218316 weeks
140-.0247 -.0794 (140*2π)/218316 weeks
141-.04132 .0341 (141*2π)/218315 weeks
142-.01261 .03411 (142*2π)/218315 weeks
143.11656 .08386 (143*2π)/218315 weeks
144-.00639 -.14201 (144*2π)/218315 weeks
145-.04875 .07296 (145*2π)/218315 weeks
146.14026 -.047 (146*2π)/218315 weeks
147-.06101 -.09183 (147*2π)/218315 weeks
148-.0392 -.0103 (148*2π)/218315 weeks
149-.00484 .05014 (149*2π)/218315 weeks
150-.01017 -.03475 (150*2π)/218315 weeks
151.03081 .04454 (151*2π)/218314 weeks
152.06718 -.0525 (152*2π)/218314 weeks
153-.0405 -.03803 (153*2π)/218314 weeks
154.0289 -.05707 (154*2π)/218314 weeks
155-.10928 -.09091 (155*2π)/218314 weeks
156-.04885 .13305 (156*2π)/218314 weeks
157.11637 .02974 (157*2π)/218314 weeks
158-.01699 -.06738 (158*2π)/218314 weeks
159.04609 .0477 (159*2π)/218314 weeks
160-.01087 -.11436 (160*2π)/218314 weeks
161-.05894 .06805 (161*2π)/218314 weeks
162.09755 .04282 (162*2π)/218313 weeks
163-.00503 -.13883 (163*2π)/218313 weeks
164-.15261 .03554 (164*2π)/218313 weeks
165.0421 .13214 (165*2π)/218313 weeks
166.07554 -.01264 (166*2π)/218313 weeks
167.03509 -.10725 (167*2π)/218313 weeks
168-.09898 .01991 (168*2π)/218313 weeks
169.0274 .01612 (169*2π)/218313 weeks
170.00595 -.01164 (170*2π)/218313 weeks
171-.02144 .0255 (171*2π)/218313 weeks
172.02176 -.07176 (172*2π)/218313 weeks
173-.06471 .03429 (173*2π)/218313 weeks
174.07951 .02519 (174*2π)/218313 weeks
175-.03128 -.06451 (175*2π)/218312 weeks
176-.03714 .00953 (176*2π)/218312 weeks
177-.00417 .00549 (177*2π)/218312 weeks
178-.01002 .03429 (178*2π)/218312 weeks
179.05279 .01012 (179*2π)/218312 weeks
180.03001 -.03716 (180*2π)/218312 weeks
181-.0028 -.03914 (181*2π)/218312 weeks
182-.0289 -.03017 (182*2π)/218312 weeks
183-.01913 .02107 (183*2π)/218312 weeks
184-.01215 .01227 (184*2π)/218312 weeks
185.04704 -.03093 (185*2π)/218312 weeks
186-.08942 -.01593 (186*2π)/218312 weeks
187.02799 .09616 (187*2π)/218312 weeks
188.05003 -.11206 (188*2π)/218312 weeks
189-.10217 .00737 (189*2π)/218312 weeks
190-.03745 .0858 (190*2π)/218311 weeks
191.10344 .03026 (191*2π)/218311 weeks
192-.03303 -.04416 (192*2π)/218311 weeks
193.02805 .08314 (193*2π)/218311 weeks
194.0757 -.08128 (194*2π)/218311 weeks
195-.06022 -.03593 (195*2π)/218311 weeks
196-.01889 .001 (196*2π)/218311 weeks
197.00162 .06199 (197*2π)/218311 weeks
198.0142 -.05359 (198*2π)/218311 weeks
199-.06594 .03586 (199*2π)/218311 weeks
200.04949 .03154 (200*2π)/218311 weeks
201-.00698 -.04836 (201*2π)/218311 weeks
202-.01755 .00362 (202*2π)/218311 weeks
203-.02916 .03566 (203*2π)/218311 weeks
204.06528 .01538 (204*2π)/218311 weeks
205.02487 -.0473 (205*2π)/218311 weeks
206-.0102 -.0377 (206*2π)/218311 weeks
207-.07892 -.00155 (207*2π)/218311 weeks
208.04288 .08627 (208*2π)/218310 weeks
209.05974 -.03658 (209*2π)/218310 weeks
210-.00437 -.02171 (210*2π)/218310 weeks
211.02062 .01695 (211*2π)/218310 weeks
212.06418 -.05059 (212*2π)/218310 weeks
213-.02707 -.08073 (213*2π)/218310 weeks
214-.1022 .01777 (214*2π)/218310 weeks
215.02988 .06229 (215*2π)/218310 weeks
216.02133 -.02094 (216*2π)/218310 weeks
217-.00082 .02161 (217*2π)/218310 weeks
218.02899 -.04442 (218*2π)/218310 weeks
219-.04363 -.02508 (219*2π)/218310 weeks
220-.02692 -.01541 (220*2π)/218310 weeks
221-.05284 .06592 (221*2π)/218310 weeks
222.05268 .04447 (222*2π)/218310 weeks
223.03128 -.0102 (223*2π)/218310 weeks
224.0671 -.05475 (224*2π)/218310 weeks
225-.07376 -.05926 (225*2π)/218310 weeks
226-.05182 .03528 (226*2π)/218310 weeks
227.01095 .03287 (227*2π)/218310 weeks
228.01296 .02023 (228*2π)/218310 weeks
229.06168 -.02069 (229*2π)/218310 weeks
230.00547 -.05374 (230*2π)/21839 weeks
231-.06149 -.04093 (231*2π)/21839 weeks
232-.0344 .02288 (232*2π)/21839 weeks
233-.03854 .06344 (233*2π)/21839 weeks
234.06114 .0683 (234*2π)/21839 weeks
235.08842 -.00503 (235*2π)/21839 weeks
236.02467 -.08181 (236*2π)/21839 weeks
237-.04479 -.02028 (237*2π)/21839 weeks
238-.00732 -.01456 (238*2π)/21839 weeks
239-.05094 .01198 (239*2π)/21839 weeks
240-.00898 .05553 (240*2π)/21839 weeks
241.04419 .00616 (241*2π)/21839 weeks
242-.01276 -.0433 (242*2π)/21839 weeks
243-.01019 .02086 (243*2π)/21839 weeks
244.03772 -.03273 (244*2π)/21839 weeks
245-.06948 -.05846 (245*2π)/21839 weeks
246-.05292 .06925 (246*2π)/21839 weeks
247.03885 .04875 (247*2π)/21839 weeks
248.0499 -.01542 (248*2π)/21839 weeks
249-.01069 -.02019 (249*2π)/21839 weeks
250-.00355 .00699 (250*2π)/21839 weeks
251-.01096 -.00296 (251*2π)/21839 weeks
252-.00969 -.01897 (252*2π)/21839 weeks
253-.03827 .01205 (253*2π)/21839 weeks
254-.00083 .05261 (254*2π)/21839 weeks
255.10853 .00785 (255*2π)/21839 weeks
256-.02694 -.15117 (256*2π)/21839 weeks
257-.10233 .0422 (257*2π)/21838 weeks
258.01262 .02965 (258*2π)/21838 weeks
259-.01355 .04828 (259*2π)/21838 weeks
260.06299 .00884 (260*2π)/21838 weeks
261-.02568 -.01627 (261*2π)/21838 weeks
262.05022 .00124 (262*2π)/21838 weeks
263.00524 -.02798 (263*2π)/21838 weeks
264.00087 -.03886 (264*2π)/21838 weeks
265-.05599 -.00031 (265*2π)/21838 weeks
266.03827 .04297 (266*2π)/21838 weeks
267-.0248 -.04575 (267*2π)/21838 weeks
268-.00647 .05072 (268*2π)/21838 weeks
269.04874 .01335 (269*2π)/21838 weeks
270.03441 -.04763 (270*2π)/21838 weeks
271-.02685 -.0212 (271*2π)/21838 weeks
272-.01037