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Fourier Analysis of ALE (Allete, Inc.)


ALE (Allete, Inc.) appears to have interesting cyclic behaviour every 230 weeks (2.4587*sine), 153 weeks (2.0083*sine), and 164 weeks (1.8753*sine).

ALE (Allete, Inc.) has an average price of 18.21 (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 5/3/1973 to 4/24/2017 for ALE (Allete, Inc.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
018.20637   0 
13.76766 -16.03935 (1*2π)/22952,295 weeks
21.91435 -4.36861 (2*2π)/22951,148 weeks
34.88099 -5.11424 (3*2π)/2295765 weeks
4.87264 -6.30259 (4*2π)/2295574 weeks
5-.35167 -3.5401 (5*2π)/2295459 weeks
6.24093 -3.05534 (6*2π)/2295383 weeks
7.67324 -2.53531 (7*2π)/2295328 weeks
8-.43614 -1.96985 (8*2π)/2295287 weeks
91.2773 -1.59917 (9*2π)/2295255 weeks
10.53567 -2.4587 (10*2π)/2295230 weeks
11-.07076 -1.66578 (11*2π)/2295209 weeks
12-.00026 -1.32102 (12*2π)/2295191 weeks
13.91805 -1.02361 (13*2π)/2295177 weeks
141.08042 -1.87528 (14*2π)/2295164 weeks
15-.57735 -2.0083 (15*2π)/2295153 weeks
16.36616 -.62803 (16*2π)/2295143 weeks
17.6121 -1.84384 (17*2π)/2295135 weeks
18-.61756 -1.34303 (18*2π)/2295128 weeks
19.05703 -.62875 (19*2π)/2295121 weeks
20.73483 -.96026 (20*2π)/2295115 weeks
21-.09683 -1.69319 (21*2π)/2295109 weeks
22-.45677 -.68651 (22*2π)/2295104 weeks
23.51204 -.53681 (23*2π)/2295100 weeks
24.32008 -1.40892 (24*2π)/229596 weeks
25-.54995 -1.04202 (25*2π)/229592 weeks
26.23698 -.48836 (26*2π)/229588 weeks
27.20543 -1.31762 (27*2π)/229585 weeks
28-.87108 -1.00688 (28*2π)/229582 weeks
29-.12501 -.07611 (29*2π)/229579 weeks
30.35051 -.67715 (30*2π)/229577 weeks
31-.22066 -.85132 (31*2π)/229574 weeks
32-.25732 -.57245 (32*2π)/229572 weeks
33-.16596 -.26908 (33*2π)/229570 weeks
34.19429 -.33148 (34*2π)/229568 weeks
35.14943 -.65158 (35*2π)/229566 weeks
36-.02207 -.50411 (36*2π)/229564 weeks
37.1526 -.54164 (37*2π)/229562 weeks
38-.05108 -.62928 (38*2π)/229560 weeks
39-.22839 -.41984 (39*2π)/229559 weeks
40.19591 -.07461 (40*2π)/229557 weeks
41.51018 -.67177 (41*2π)/229556 weeks
42-.17308 -.83662 (42*2π)/229555 weeks
43-.1417 -.18022 (43*2π)/229553 weeks
44.4324 -.31554 (44*2π)/229552 weeks
45.20609 -.85256 (45*2π)/229551 weeks
46-.24231 -.58319 (46*2π)/229550 weeks
47.11455 -.37281 (47*2π)/229549 weeks
48-.03402 -.74288 (48*2π)/229548 weeks
49-.32894 -.41481 (49*2π)/229547 weeks
50-.02751 -.14354 (50*2π)/229546 weeks
51.09526 -.31087 (51*2π)/229545 weeks
52.09237 -.42356 (52*2π)/229544 weeks
53-.10745 -.40283 (53*2π)/229543 weeks
54.03725 -.19827 (54*2π)/229543 weeks
55.24702 -.32291 (55*2π)/229542 weeks
56.02682 -.49003 (56*2π)/229541 weeks
57.03961 -.27889 (57*2π)/229540 weeks
58.25886 -.39219 (58*2π)/229540 weeks
59.09853 -.62162 (59*2π)/229539 weeks
60-.11599 -.4162 (60*2π)/229538 weeks
61.12483 -.40054 (61*2π)/229538 weeks
62-.00051 -.57497 (62*2π)/229537 weeks
63-.19042 -.34445 (63*2π)/229536 weeks
64.07345 -.31047 (64*2π)/229536 weeks
65.02865 -.49131 (65*2π)/229535 weeks
66-.09883 -.43391 (66*2π)/229535 weeks
67-.12008 -.36372 (67*2π)/229534 weeks
68-.05184 -.31975 (68*2π)/229534 weeks
69-.06204 -.37859 (69*2π)/229533 weeks
70-.13112 -.34202 (70*2π)/229533 weeks
71-.11886 -.29728 (71*2π)/229532 weeks
72-.16435 -.20158 (72*2π)/229532 weeks
73.01815 -.17924 (73*2π)/229531 weeks
74.03527 -.26973 (74*2π)/229531 weeks
75.00136 -.20468 (75*2π)/229531 weeks
76.1619 -.38012 (76*2π)/229530 weeks
77-.16196 -.45842 (77*2π)/229530 weeks
78-.0924 -.14374 (78*2π)/229529 weeks
79.05428 -.34131 (79*2π)/229529 weeks
80-.08146 -.37541 (80*2π)/229529 weeks
81-.15745 -.15265 (81*2π)/229528 weeks
82.06682 -.22856 (82*2π)/229528 weeks
83-.01911 -.36921 (83*2π)/229528 weeks
84-.1425 -.23594 (84*2π)/229527 weeks
85-.00782 -.16938 (85*2π)/229527 weeks
86-.00515 -.35573 (86*2π)/229527 weeks
87-.13877 -.26683 (87*2π)/229526 weeks
88-.11089 -.14262 (88*2π)/229526 weeks
89.0156 -.23391 (89*2π)/229526 weeks
90-.08703 -.26166 (90*2π)/229526 weeks
91-.10889 -.15752 (91*2π)/229525 weeks
92-.02526 -.11862 (92*2π)/229525 weeks
93.11428 -.1948 (93*2π)/229525 weeks
94-.0575 -.28441 (94*2π)/229524 weeks
95-.08694 -.20002 (95*2π)/229524 weeks
96-.01738 -.13892 (96*2π)/229524 weeks
97.0281 -.21921 (97*2π)/229524 weeks
98-.00709 -.24982 (98*2π)/229523 weeks
99-.10851 -.2194 (99*2π)/229523 weeks
100-.02068 -.10175 (100*2π)/229523 weeks
101.02517 -.1906 (101*2π)/229523 weeks
102-.05338 -.21351 (102*2π)/229523 weeks
103.00527 -.11417 (103*2π)/229522 weeks
104.03116 -.20786 (104*2π)/229522 weeks
105-.07216 -.20699 (105*2π)/229522 weeks
106.00121 -.07659 (106*2π)/229522 weeks
107.11435 -.1665 (107*2π)/229521 weeks
108.00854 -.3005 (108*2π)/229521 weeks
109-.1222 -.17278 (109*2π)/229521 weeks
110.00136 -.06545 (110*2π)/229521 weeks
111.06853 -.14546 (111*2π)/229521 weeks
112.02876 -.20983 (112*2π)/229520 weeks
113.06474 -.14776 (113*2π)/229520 weeks
114.07 -.19807 (114*2π)/229520 weeks
115.0193 -.24705 (115*2π)/229520 weeks
116.01196 -.22803 (116*2π)/229520 weeks
117.01329 -.1674 (117*2π)/229520 weeks
118.07472 -.24936 (118*2π)/229519 weeks
119-.03034 -.30567 (119*2π)/229519 weeks
120-.03234 -.16502 (120*2π)/229519 weeks
121-.03425 -.26278 (121*2π)/229519 weeks
122-.07812 -.18852 (122*2π)/229519 weeks
123.01345 -.1551 (123*2π)/229519 weeks
124-.03481 -.22983 (124*2π)/229519 weeks
125-.0622 -.1675 (125*2π)/229518 weeks
126.01336 -.13016 (126*2π)/229518 weeks
127.01806 -.23422 (127*2π)/229518 weeks
128-.0323 -.18225 (128*2π)/229518 weeks
129.00046 -.22248 (129*2π)/229518 weeks
130-.07837 -.27066 (130*2π)/229518 weeks
131-.10151 -.10978 (131*2π)/229518 weeks
132.0347 -.19808 (132*2π)/229517 weeks
133-.13814 -.25859 (133*2π)/229517 weeks
134-.07927 -.09428 (134*2π)/229517 weeks
135-.03902 -.18377 (135*2π)/229517 weeks
136-.14812 -.14147 (136*2π)/229517 weeks
137.01383 -.04148 (137*2π)/229517 weeks
138.02717 -.20181 (138*2π)/229517 weeks
139-.06654 -.204 (139*2π)/229517 weeks
140-.07836 -.15922 (140*2π)/229516 weeks
141-.0722 -.10091 (141*2π)/229516 weeks
142-.03133 -.09947 (142*2π)/229516 weeks
143.03427 -.16275 (143*2π)/229516 weeks
144-.04996 -.17812 (144*2π)/229516 weeks
145-.06051 -.15394 (145*2π)/229516 weeks
146-.07459 -.13821 (146*2π)/229516 weeks
147-.04249 -.06653 (147*2π)/229516 weeks
148-.00865 -.14288 (148*2π)/229516 weeks
149-.04731 -.11794 (149*2π)/229515 weeks
150-.02022 -.101 (150*2π)/229515 weeks
151-.01788 -.12753 (151*2π)/229515 weeks
152-.01707 -.04704 (152*2π)/229515 weeks
153.09661 -.16482 (153*2π)/229515 weeks
154-.03255 -.18831 (154*2π)/229515 weeks
155-.02213 -.14007 (155*2π)/229515 weeks
156.01781 -.1609 (156*2π)/229515 weeks
157-.05904 -.21986 (157*2π)/229515 weeks
158-.08458 -.0857 (158*2π)/229515 weeks
159.02979 -.13565 (159*2π)/229514 weeks
160-.04954 -.1752 (160*2π)/229514 weeks
161-.05471 -.1118 (161*2π)/229514 weeks
162-.02112 -.12104 (162*2π)/229514 weeks
163.00943 -.14248 (163*2π)/229514 weeks
164-.03037 -.18359 (164*2π)/229514 weeks
165-.0673 -.1226 (165*2π)/229514 weeks
166.01028 -.15668 (166*2π)/229514 weeks
167-.06885 -.15734 (167*2π)/229514 weeks
168-.03954 -.16385 (168*2π)/229514 weeks
169-.11131 -.15185 (169*2π)/229514 weeks
170-.05354 -.05907 (170*2π)/229514 weeks
171-.02653 -.12567 (171*2π)/229513 weeks
172-.07219 -.10973 (172*2π)/229513 weeks
173-.01068 -.02006 (173*2π)/229513 weeks
174.06157 -.11625 (174*2π)/229513 weeks
175-.02525 -.23066 (175*2π)/229513 weeks
176-.05684 -.09162 (176*2π)/229513 weeks
177.03772 -.14881 (177*2π)/229513 weeks
178-.09356 -.23104 (178*2π)/229513 weeks
179-.11776 -.06113 (179*2π)/229513 weeks
180-.01348 -.09903 (180*2π)/229513 weeks
181-.07529 -.13108 (181*2π)/229513 weeks
182-.06623 -.07192 (182*2π)/229513 weeks
183-.03191 -.06713 (183*2π)/229513 weeks
184-.00937 -.10015 (184*2π)/229512 weeks
185-.0395 -.13175 (185*2π)/229512 weeks
186-.06006 -.07888 (186*2π)/229512 weeks
187-.06454 -.07657 (187*2π)/229512 weeks
188.0242 -.04689 (188*2π)/229512 weeks
189.02763 -.17696 (189*2π)/229512 weeks
190-.10967 -.11861 (190*2π)/229512 weeks
191-.02342 -.05528 (191*2π)/229512 weeks
192-.04159 -.13376 (192*2π)/229512 weeks
193-.07191 -.0414 (193*2π)/229512 weeks
194.0049 -.06154 (194*2π)/229512 weeks
195-.02731 -.11113 (195*2π)/229512 weeks
196-.02876 -.04543 (196*2π)/229512 weeks
197-.00131 -.02488 (197*2π)/229512 weeks
198.07412 -.10977 (198*2π)/229512 weeks
199-.01406 -.18382 (199*2π)/229512 weeks
200-.07068 -.06936 (200*2π)/229511 weeks
201.02002 -.06095 (201*2π)/229511 weeks
202.02116 -.15699 (202*2π)/229511 weeks
203-.0767 -.10529 (203*2π)/229511 weeks
204-.03568 -.05807 (204*2π)/229511 weeks
205.00345 -.09395 (205*2π)/229511 weeks
206-.02056 -.08798 (206*2π)/229511 weeks
207-.0252 -.04844 (207*2π)/229511 weeks
208.03091 -.05765 (208*2π)/229511 weeks
209.05884 -.12268 (209*2π)/229511 weeks
210-.043 -.11187 (210*2π)/229511 weeks
211.02355 -.06726 (211*2π)/229511 weeks
212.05129 -.13699 (212*2π)/229511 weeks
213-.0352 -.16217 (213*2π)/229511 weeks
214-.04683 -.08883 (214*2π)/229511 weeks
215.02197 -.10928 (215*2π)/229511 weeks
216-.02352 -.17651 (216*2π)/229511 weeks
217-.14284 -.12161 (217*2π)/229511 weeks
218-.04633 .02482 (218*2π)/229511 weeks
219.07783 -.09164 (219*2π)/229510 weeks
220-.04743 -.14889 (220*2π)/229510 weeks
221-.05754 -.06805 (221*2π)/229510 weeks
222.03527 -.05893 (222*2π)/229510 weeks
223-.02631 -.12522 (223*2π)/229510 weeks
224-.04351 -.07562 (224*2π)/229510 weeks
225.02787 -.05946 (225*2π)/229510 weeks
226-.02066 -.15274 (226*2π)/229510 weeks
227-.06217 -.04777 (227*2π)/229510 weeks
228.05832 -.04621 (228*2π)/229510 weeks
229.0531 -.1494 (229*2π)/229510 weeks
230-.02885 -.14615 (230*2π)/229510 weeks
231-.03983 -.10864 (231*2π)/229510 weeks
232-.01032 -.06902 (232*2π)/229510 weeks
233.04943 -.10669 (233*2π)/229510 weeks
234-.00375 -.1776 (234*2π)/229510 weeks
235-.05597 -.13979 (235*2π)/229510 weeks
236-.01662 -.11392 (236*2π)/229510 weeks
237-.06063 -.1754 (237*2π)/229510 weeks
238-.12392 -.09505 (238*2π)/229510 weeks
239-.0157 -.02514 (239*2π)/229510 weeks
240-.01023 -.15582 (240*2π)/229510 weeks
241-.12203 -.10632 (241*2π)/229510 weeks
242-.04678 -.00817 (242*2π)/22959 weeks
243.0114 -.06826 (243*2π)/22959 weeks
244-.03095 -.11381 (244*2π)/22959 weeks
245-.03919 -.07517 (245*2π)/22959 weeks
246-.01208 -.06983 (246*2π)/22959 weeks
247-.00772 -.11108 (247*2π)/22959 weeks
248-.06174 -.10547 (248*2π)/22959 weeks
249-.03545 -.04304 (249*2π)/22959 weeks
250.01852 -.09794 (250*2π)/22959 weeks
251-.0236 -.12382 (251*2π)/22959 weeks
252-.05774 -.11087 (252*2π)/22959 weeks
253-.0657 -.07162 (253*2π)/22959 weeks
254-.01556 -.05841 (254*2π)/22959 weeks
255-.01862 -.09994 (255*2π)/22959 weeks
256-.05167 -.06898 (256*2π)/22959 weeks
257.02573 -.07755 (257*2π)/22959 weeks
258-.03327 -.16824 (258*2π)/22959 weeks
259-.11897 -.07605 (259*2π)/22959 weeks
260-.01835 -.01456 (260*2π)/22959 weeks
261.00941 -.08915 (261*2π)/22959 weeks
262-.04207 -.09545 (262*2π)/22959 weeks
263-.03743 -.05198 (263*2π)/22959 weeks
264.00837 -.10391 (264*2π)/22959 weeks
265-.03989 -.1046 (265*2π)/22959 weeks
266-.0623 -.0859 (266*2π)/22959 weeks
267-.03165 -.07937 (267*2π)/22959 weeks
268-.04692 -.09095 (268*2π)/22959 weeks
269-.06395 -.06612 (269*2π)/22959 weeks
270-.05644 -.04853 (270*2π)/22959 weeks
271-.00978 -.04972 (271*2π)/22958 weeks
272-.02681 -.08068 (272*2π)/22958 weeks
273-.05709 -.06735 (273*2π)/22958 weeks
274-.02366 -.04605 (274*2π)/22958 weeks
275-.01401 -.05938 (275*2π)/22958 weeks
276-.0252 -.05389 (276*2π)/22958 weeks
277.00825 -.04396 (277*2π)/22958 weeks
278.00598 -.084 (278*2π)/22958 weeks
279-.00671 -.07894 (279*2π)/22958 weeks
280.00161 -.07429 (280*2π)/22958 weeks
281.02336 -.09444 (281*2π)/22958 weeks
282.00559 -.15596 (282*2π)/22958 weeks
283-.06876 -.12257 (283*2π)/22958 weeks
284-.05948 -.07601 (284*2π)/22958 weeks
285-.02447 -.09673 (285*2π)/22958 weeks
286-.04747 -.09338 (286*2π)/22958 weeks
287-.05289 -.08131 (287*2π)/22958 weeks
288-.03729 -.08375 (288*2π)/22958 weeks
289-.04166 -.09905 (289*2π)/22958 weeks
290-.07521 -.07072 (290*2π)/22958 weeks
291-.04178 -.06923 (291*2π)/22958 weeks
292-.03151 -.08646 (292*2π)/22958 weeks
293-.06066 -.06925 (293*2π)/22958 weeks
294-.07551 -.05425 (294*2π)/22958 weeks
295-.01866 -.02419 (295*2π)/22958 wee