Back to list of Stocks    See Also: Seasonal Analysis of ECONGenetic Algorithms Stock Portfolio Generator, and Best Months to Buy/Sell Stocks

# Fourier Analysis of ECON (Columbia Emerging Markets Consumer ETF)

ECON (Columbia Emerging Markets Consumer ETF) appears to have interesting cyclic behaviour every 40 weeks (.4592*cosine), 21 weeks (.3628*sine), and 23 weeks (.339*cosine).

ECON (Columbia Emerging Markets Consumer ETF) has an average price of 24.1 (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 9/14/2010 to 4/16/2018 for ECON (Columbia Emerging Markets Consumer ETF), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
024.10405   0
1-.82337 -.3401 (1*2π)/397397 weeks
21.39502 -1.608 (2*2π)/397199 weeks
3.03882 -1.38762 (3*2π)/397132 weeks
4-.21556 -.1155 (4*2π)/39799 weeks
5-.02144 -.72584 (5*2π)/39779 weeks
6-.21407 -.64028 (6*2π)/39766 weeks
7-.59427 .10279 (7*2π)/39757 weeks
8.11265 -.1617 (8*2π)/39750 weeks
9-.02337 -.6771 (9*2π)/39744 weeks
10.45916 -.29038 (10*2π)/39740 weeks
11-.28091 -.16991 (11*2π)/39736 weeks
12-.07647 .16045 (12*2π)/39733 weeks
13-.15511 .045 (13*2π)/39731 weeks
14-.14854 -.23981 (14*2π)/39728 weeks
15.10319 -.05621 (15*2π)/39726 weeks
16-.18366 -.27167 (16*2π)/39725 weeks
17-.33895 .00088 (17*2π)/39723 weeks
18-.09222 .08987 (18*2π)/39722 weeks
19.06365 -.36284 (19*2π)/39721 weeks
20-.11381 -.07665 (20*2π)/39720 weeks
21-.16076 .08423 (21*2π)/39719 weeks
22.00462 -.01602 (22*2π)/39718 weeks
23-.11493 -.15854 (23*2π)/39717 weeks
24-.08427 .05247 (24*2π)/39717 weeks
25.12925 -.15745 (25*2π)/39716 weeks
26.12078 -.08401 (26*2π)/39715 weeks
27.00483 -.06685 (27*2π)/39715 weeks
28.01865 -.041 (28*2π)/39714 weeks
29.02155 -.0325 (29*2π)/39714 weeks
30.00968 .13277 (30*2π)/39713 weeks
31-.04892 -.1628 (31*2π)/39713 weeks
32-.09231 -.12157 (32*2π)/39712 weeks
33.07802 -.037 (33*2π)/39712 weeks
34-.074 -.19211 (34*2π)/39712 weeks
35.02739 .10686 (35*2π)/39711 weeks
36-.14832 -.18482 (36*2π)/39711 weeks
37-.05738 -.08754 (37*2π)/39711 weeks
38-.05249 -.00078 (38*2π)/39710 weeks
39-.09331 -.02291 (39*2π)/39710 weeks
40.09308 -.02279 (40*2π)/39710 weeks
41-.11301 -.01397 (41*2π)/39710 weeks
42-.0271 -.08801 (42*2π)/3979 weeks
43-.0865 -.01593 (43*2π)/3979 weeks
44-.06964 -.02619 (44*2π)/3979 weeks
45-.07935 -.11676 (45*2π)/3979 weeks
46-.05136 -.09227 (46*2π)/3979 weeks
47-.02308 -.05597 (47*2π)/3978 weeks
48.0951 .06164 (48*2π)/3978 weeks
49.01609 .05411 (49*2π)/3978 weeks
50-.00917 -.00893 (50*2π)/3978 weeks
51.00603 -.06719 (51*2π)/3978 weeks
52-.04191 -.05241 (52*2π)/3978 weeks
53.03827 -.10866 (53*2π)/3977 weeks
54.01281 -.02152 (54*2π)/3977 weeks
55.10957 -.08036 (55*2π)/3977 weeks
56.04822 .00745 (56*2π)/3977 weeks
57.01891 .01425 (57*2π)/3977 weeks
58-.03758 .01102 (58*2π)/3977 weeks
59-.11964 -.04704 (59*2π)/3977 weeks
60.02496 -.1325 (60*2π)/3977 weeks
61-.03551 -.12151 (61*2π)/3977 weeks
62.02663 -.06515 (62*2π)/3976 weeks
63-.09789 -.07408 (63*2π)/3976 weeks
64-.01793 -.00619 (64*2π)/3976 weeks
65-.0207 -.0795 (65*2π)/3976 weeks
66-.07616 -.04975 (66*2π)/3976 weeks
67-.06179 .01311 (67*2π)/3976 weeks
68-.01882 -.06397 (68*2π)/3976 weeks
69.03975 -.00143 (69*2π)/3976 weeks
70-.07338 -.06482 (70*2π)/3976 weeks
71.00026 .01572 (71*2π)/3976 weeks
72.04431 -.0297 (72*2π)/3976 weeks
73-.04476 -.13904 (73*2π)/3975 weeks
74-.08441 .02254 (74*2π)/3975 weeks
75.00762 -.00028 (75*2π)/3975 weeks
76-.0076 -.07609 (76*2π)/3975 weeks
77-.05726 .00066 (77*2π)/3975 weeks
78-.05386 -.03468 (78*2π)/3975 weeks
79-.04323 -.01813 (79*2π)/3975 weeks
80-.06968 .02379 (80*2π)/3975 weeks
81-.00797 .04086 (81*2π)/3975 weeks
82-.04098 -.00582 (82*2π)/3975 weeks
83-.05281 -.07215 (83*2π)/3975 weeks
84-.0139 .03032 (84*2π)/3975 weeks
85-.00614 -.04816 (85*2π)/3975 weeks
86-.0147 -.02517 (86*2π)/3975 weeks
87.01728 .0375 (87*2π)/3975 weeks
88.01108 -.00223 (88*2π)/3975 weeks
89.02994 -.02273 (89*2π)/3974 weeks
90-.08248 .01751 (90*2π)/3974 weeks
91-.0204 -.02138 (91*2π)/3974 weeks
92-.01844 -.07191 (92*2π)/3974 weeks
93-.03903 -.06523 (93*2π)/3974 weeks
94-.04462 -.05804 (94*2π)/3974 weeks
95-.02054 -.01863 (95*2π)/3974 weeks
96-.00032 -.04886 (96*2π)/3974 weeks
97-.06978 -.01838 (97*2π)/3974 weeks
98.03415 -.03645 (98*2π)/3974 weeks
99-.02043 -.05583 (99*2π)/3974 weeks
100-.00104 .01104 (100*2π)/3974 weeks
101.00606 -.00883 (101*2π)/3974 weeks
102-.04118 -.00443 (102*2π)/3974 weeks
103-.0727 -.01895 (103*2π)/3974 weeks
104-.04827 -.00591 (104*2π)/3974 weeks
105-.03182 -.04889 (105*2π)/3974 weeks
106-.03604 -.03172 (106*2π)/3974 weeks
107-.00773 -.00534 (107*2π)/3974 weeks
108-.03902 .00522 (108*2π)/3974 weeks
109-.0398 -.00415 (109*2π)/3974 weeks
110-.03288 .01316 (110*2π)/3974 weeks
111-.01519 -.01157 (111*2π)/3974 weeks
112.00414 -.0387 (112*2π)/3974 weeks
113-.0402 -.00559 (113*2π)/3974 weeks
114.0083 -.02514 (114*2π)/3973 weeks
115-.01414 .05528 (115*2π)/3973 weeks
116-.0074 .02499 (116*2π)/3973 weeks
117.02279 .00571 (117*2π)/3973 weeks
118-.01473 -.02922 (118*2π)/3973 weeks
119-.03761 .02509 (119*2π)/3973 weeks
120-.03868 .0206 (120*2π)/3973 weeks
121-.04932 -.00013 (121*2π)/3973 weeks
122-.0283 -.02749 (122*2π)/3973 weeks
123.01416 -.01232 (123*2π)/3973 weeks
124-.03304 .00745 (124*2π)/3973 weeks
125.0413 -.01799 (125*2π)/3973 weeks
126.02857 -.03338 (126*2π)/3973 weeks
127-.00665 -.01338 (127*2π)/3973 weeks
128-.0138 -.0236 (128*2π)/3973 weeks
129.00413 -.05002 (129*2π)/3973 weeks
130-.01895 -.05763 (130*2π)/3973 weeks
131-.0463 -.01689 (131*2π)/3973 weeks
132.00242 -.03838 (132*2π)/3973 weeks
133-.04674 -.00362 (133*2π)/3973 weeks
134-.03111 -.01685 (134*2π)/3973 weeks
135-.02642 -.04176 (135*2π)/3973 weeks
136-.03917 -.03719 (136*2π)/3973 weeks
137.01358 .0034 (137*2π)/3973 weeks
138-.01874 -.03404 (138*2π)/3973 weeks
139-.0122 .0113 (139*2π)/3973 weeks
140-.04816 -.03225 (140*2π)/3973 weeks
141-.11215 -.02967 (141*2π)/3973 weeks
142-.00369 -.00691 (142*2π)/3973 weeks
143-.01574 -.00753 (143*2π)/3973 weeks
144.00199 -.03498 (144*2π)/3973 weeks
145-.00946 .04145 (145*2π)/3973 weeks
146-.05146 .01305 (146*2π)/3973 weeks
147-.06912 -.0098 (147*2π)/3973 weeks
148-.04551 -.00522 (148*2π)/3973 weeks
149-.02384 -.00616 (149*2π)/3973 weeks
150-.01576 -.00522 (150*2π)/3973 weeks
151-.02779 .0178 (151*2π)/3973 weeks
152-.02988 .0146 (152*2π)/3973 weeks
153-.0155 -.02143 (153*2π)/3973 weeks
154-.02981 .04791 (154*2π)/3973 weeks
155-.06188 -.05204 (155*2π)/3973 weeks
156-.01595 .00173 (156*2π)/3973 weeks
157.00607 -.03532 (157*2π)/3973 weeks
158-.04639 -.02106 (158*2π)/3973 weeks
159.00542 .00541 (159*2π)/3972 weeks
160-.01964 -.03002 (160*2π)/3972 weeks
161-.02959 -.01044 (161*2π)/3972 weeks
162-.00596 -.01356 (162*2π)/3972 weeks
163-.02339 .01386 (163*2π)/3972 weeks
164.00427 -.00521 (164*2π)/3972 weeks
165-.03589 .01589 (165*2π)/3972 weeks
166.01599 -.00921 (166*2π)/3972 weeks
167-.00775 -.02778 (167*2π)/3972 weeks
168-.0444 .00239 (168*2π)/3972 weeks
169-.03273 -.0033 (169*2π)/3972 weeks
170-.02982 .00732 (170*2π)/3972 weeks
171-.01933 -.00029 (171*2π)/3972 weeks
172.01746 .00903 (172*2π)/3972 weeks
173-.052 -.02413 (173*2π)/3972 weeks
174-.04337 .00004 (174*2π)/3972 weeks
175.03098 -.02747 (175*2π)/3972 weeks
176.00548 -.00626 (176*2π)/3972 weeks
177.01409 .00167 (177*2π)/3972 weeks
178-.0116 -.02464 (178*2π)/3972 weeks
179-.0569 .04064 (179*2π)/3972 weeks
180-.01278 -.00707 (180*2π)/3972 weeks
181.00098 -.00132 (181*2π)/3972 weeks
182-.02652 -.03738 (182*2π)/3972 weeks
183-.00523 .02413 (183*2π)/3972 weeks
184.02808 .01034 (184*2π)/3972 weeks
185-.01419 -.01869 (185*2π)/3972 weeks
186-.04364 .02796 (186*2π)/3972 weeks
187-.0253 .03726 (187*2π)/3972 weeks
188-.01605 -.0097 (188*2π)/3972 weeks
189-.04207 -.01265 (189*2π)/3972 weeks
190-.04925 .03235 (190*2π)/3972 weeks
191-.00306 -.01219 (191*2π)/3972 weeks
192.02491 -.04119 (192*2π)/3972 weeks
193-.04909 .02937 (193*2π)/3972 weeks
194-.00193 .02666 (194*2π)/3972 weeks
195-.03439 .00735 (195*2π)/3972 weeks
196-.05766 .00798 (196*2π)/3972 weeks
197.00749 -.02967 (197*2π)/3972 weeks
198-.01679 -.00259 (198*2π)/3972 weeks
199-.01679 .00259 (199*2π)/3972 weeks
200.00749 .02967 (200*2π)/3972 weeks
201-.05766 -.00798 (201*2π)/3972 weeks
202-.03439 -.00735 (202*2π)/3972 weeks
203-.00193 -.02666 (203*2π)/3972 weeks
204-.04909 -.02937 (204*2π)/3972 weeks
205.02491 .04119 (205*2π)/3972 weeks
206-.00306 .01219 (206*2π)/3972 weeks
207-.04925 -.03235 (207*2π)/3972 weeks
208-.04207 .01265 (208*2π)/3972 weeks
209-.01605 .0097 (209*2π)/3972 weeks
210-.0253 -.03726 (210*2π)/3972 weeks
211-.04364 -.02796 (211*2π)/3972 weeks
212-.01419 .01869 (212*2π)/3972 weeks
213.02808 -.01034 (213*2π)/3972 weeks
214-.00523 -.02413 (214*2π)/3972 weeks
215-.02652 .03738 (215*2π)/3972 weeks
216.00098 .00132 (216*2π)/3972 weeks
217-.01278 .00707 (217*2π)/3972 weeks
218-.0569 -.04064 (218*2π)/3972 weeks
219-.0116 .02464 (219*2π)/3972 weeks
220.01409 -.00167 (220*2π)/3972 weeks
221.00548 .00626 (221*2π)/3972 weeks
222.03098 .02747 (222*2π)/3972 weeks
223-.04337 -.00004 (223*2π)/3972 weeks
224-.052 .02413 (224*2π)/3972 weeks
225.01746 -.00903 (225*2π)/3972 weeks
226-.01933 .00029 (226*2π)/3972 weeks
227-.02982 -.00732 (227*2π)/3972 weeks
228-.03273 .0033 (228*2π)/3972 weeks
229-.0444 -.00239 (229*2π)/3972 weeks
230-.00775 .02778 (230*2π)/3972 weeks
231.01599 .00921 (231*2π)/3972 weeks
232-.03589 -.01589 (232*2π)/3972 weeks
233.00427 .00521 (233*2π)/3972 weeks
234-.02339 -.01386 (234*2π)/3972 weeks
235-.00596 .01356 (235*2π)/3972 weeks
236-.02959 .01044 (236*2π)/3972 weeks
237-.01964 .03002 (237*2π)/3972 weeks
238.00542 -.00541 (238*2π)/3972 weeks
239-.04639 .02106 (239*2π)/3972 weeks
240.00607 .03532 (240*2π)/3972 weeks
241-.01595 -.00173 (241*2π)/3972 weeks
242-.06188 .05204 (242*2π)/3972 weeks
243-.02981 -.04791 (243*2π)/3972 weeks
244-.0155 .02143 (244*2π)/3972 weeks
245-.02988 -.0146 (245*2π)/3972 weeks
246-.02779 -.0178 (246*2π)/3972 weeks
247-.01576 .00522 (247*2π)/3972 weeks
248-.02384 .00616 (248*2π)/3972 weeks
249-.04551 .00522 (249*2π)/3972 weeks
250-.06912 .0098 (250*2π)/3972 weeks
251-.05146 -.01305 (251*2π)/3972 weeks
252-.00946 -.04145 (252*2π)/3972 weeks
253.00199 .03498 (253*2π)/3972 weeks
254-.01574 .00753 (254*2π)/3972 weeks
255-.00369 .00691 (255*2π)/3972 weeks
256-.11215 .02967 (256*2π)/3972 weeks
257-.04816 .03225 (257*2π)/3972 weeks
258-.0122 -.0113 (258*2π)/3972 weeks
259-.01874 .03404 (259*2π)/3972 weeks
260.01358 -.0034 (260*2π)/3972 weeks
261-.03917 .03719 (261*2π)/3972 weeks
262-.02642 .04176 (262*2π)/3972 weeks
263-.03111 .01685 (263*2π)/3972 weeks
264-.04674 .00362 (264*2π)/3972 weeks
265.00242 .03838 (265*2π)/3971 weeks
266-.0463 .01689 (266*2π)/3971 weeks
267-.01895 .05763 (267*2π)/3971 weeks
268.00413 .05002 (268*2π)/3971 weeks
269-.0138 .0236 (269*2π)/3971 weeks
270-.00665 .01338 (270*2π)/3971 weeks
271.02857 .03338 (271*2π)/3971 weeks
272.0413 .01799 (272*2π)/3971 weeks
273-.03304 -.00745 (273*2π)/3971 weeks
274.01416 .01232 (274*2π)/3971 weeks
275-.0283 .02749 (275*2π)/3971 weeks
276-.04932 .00013 (276*2π)/3971 weeks
277-.03868 -.0206 (277*2π)/3971 weeks
278-.03761 -.02509 (278*2π)/3971 weeks
279-.01473 .02922 (279*2π)/3971 weeks
280.02279 -.00571 (280*2π)/3971 weeks
281-.0074 -.02499 (281*2π)/3971 weeks
282-.01414 -.05528 (282*2π)/3971 weeks
283.0083 .02514 (283*2π)/3971 weeks
284-.0402 .00559 (284*2π)/3971 weeks
285.00414 .0387 (285*2π)/3971 weeks
286-.01519 .01157 (286*2π)/3971 weeks
287-.03288 -.01316 (287*2π)/3971 weeks
288-.0398 .00415 (288*2π)/3971 weeks
289-.03902 -.00522 (289*2π)/3971 weeks
290-.00773 .00534 (290*2π)/3971 weeks
291-.03604 .03172 (291*2π)/3971 weeks
292-.03182 .04889 (292*2π)/3971 weeks
293-.04827 .00591 (293*2π)/3971 weeks
294-.0727 .01895 (294*2π)/3971 weeks
295-.04118 .00443 (295*2π)/3971 weeks
296.00606 .00883 (296*2π)/3971 weeks
297-.00104 -.01104 (297*2π)/3971 weeks
298-.02043 .05583 (298*2π)/3971 weeks
299.03415 .03645 (299*2π)/3971 weeks
300-.06978 .01838 (300*2π)/3971 weeks
301-.00032 .04886 (301*2π)/3971 weeks
302-.02054 .01863 (302*2π)/3971 weeks
303-.04462 .05804 (303*2π)/3971 weeks
304-.03903 .06523 (304*2π)/3971 weeks
305-.01844 .07191 (305*2π)/3971 weeks
306-.0204 .02138 (306*2π)/3971 weeks
307-.08248 -.01751 (307*2π)/3971 weeks
308.02994 .02273 (308*2π)/3971 weeks
309.01108 .00223 (309*2π)/3971 weeks
310.01728 -.0375 (310*2π)/3971 weeks
311-.0147 .02517 (311*2π)/3971 weeks
312-.00614 .04816 (312*2π)/3971 weeks
313-.0139 -.03032 (313*2π)/3971 weeks
314-.05281 .07215 (314*2π)/3971 weeks
315-.04098 .00582 (315*2π)/3971 weeks
316-.00797 -.04086 (316*2π)/3971 weeks
317-.06968 -.02379 (317*2π)/3971 weeks
318-.04323 .01813 (318*2π)/3971 weeks
319-.05386 .03468 (319*2π)/3971 weeks
320-.05726 -.00066 (320*2π)/3971 weeks
321-.0076 .07609 (321*2π)/3971 weeks
322.00762 .00028 (322*2π)/3971 weeks
323-.08441 -.02254 (323*2π)/3971 weeks
324-.04476 .13904 (324*2π)/3971 weeks
325.04431 .0297 (325*2π)/3971 weeks
326.00026 -.01572 (326*2π)/3971 weeks
327-.07338 .06482 (327*2π)/3971 weeks
328.03975 .00143 (328*2π)/3971 weeks
329-.01882 .06397 (329*2π)/3971 weeks
330-.06179 -.01311 (330*2π)/3971 weeks
331-.07616 .04975 (331*2π)/3971 weeks
332-.0207 .0795 (332*2π)/3971 weeks
333-.01793 .00619 (333*2π)/3971 weeks
334-.09789 .07408 (334*2π)/3971 weeks
335.02663 .06515 (335*2π)/3971 weeks
336-.03551 .12151 (336*2π)/3971 weeks
337.02496 .1325 (337*2π)/3971 weeks
338-.11964 .04704 (338*2π)/3971 weeks
339-.03758 -.01102 (339*2π)/3971 weeks
340.01891 -.01425 (340*2π)/3971 weeks
341.04822 -.00745 (341*2π)/3971 weeks
342.10957 .08036 (342*2π)/3971 weeks
343.01281 .02152 (343*2π)/3971 weeks
344.03827 .10866 (344*2π)/3971 weeks
345-.04191 .05241 (345*2π)/3971 weeks
346.00603 .06719 (346*2π)/3971 weeks
347-.00917 .00893 (347*2π)/3971 weeks
348.01609 -.05411 (348*2π)/3971 weeks
349.0951 -.06164 (349*2π)/3971 weeks
350-.02308 .05597 (350*2π)/3971 weeks
351-.05136 .09227 (351*2π)/3971 weeks
352-.07935 .11676 (352*2π)/3971 weeks
353-.06964 .02619 (353*2π)/3971 weeks
354-.0865 .01593 (354*2π)/3971 weeks
355-.0271 .08801 (355*2π)/3971 weeks
356-.11301 .01397 (356*2π)/3971 weeks
357.09308 .02279 (357*2π)/3971 weeks
358-.09331 .02291 (358*2π)/3971 weeks
359-.05249 .00078 (359*2π)/3971 weeks
360-.05738 .08754 (360*2π)/3971 weeks
361-.14832 .18482 (361*2π)/3971 weeks
362.02739 -.10686 (362*2π)/3971 weeks
363-.074 .19211 (363*2π)/3971 weeks
364.07802 .037 (364*2π)/3971 weeks
365-.09231 .12157 (365*2π)/3971 weeks
366-.04892 .1628 (366*2π)/3971 weeks
367.00968 -.13277 (367*2π)/3971 weeks
368.02155 .0325 (368*2π)/3971 weeks
369.01865 .041 (369*2π)/3971 weeks
370.00483 .06685 (370*2π)/3971 weeks
371.12078 .08401 (371*2π)/3971 weeks
372.12925 .15745 (372*2π)/3971 weeks
373-.08427 -.05247 (373*2π)/3971 weeks
374-.11493 .15854 (374*2π)/3971 weeks
375.00462 .01602 (375*2π)/3971 weeks
376-.16076 -.08423 (376*2π)/3971 weeks
377-.11381 .07665 (377*2π)/3971 weeks
378.06365 .36284 (378*2π)/3971 weeks
379-.09222 -.08987 (379*2π)/3971 weeks
380-.33895 -.00088 (380*2π)/3971 weeks
381-.18366 .27167 (381*2π)/3971 weeks
382.10319 .05621 (382*2π)/3971 weeks
383-.14854 .23981 (383*2π)/3971 weeks
384-.15511 -.045 (384*2π)/3971 weeks
385-.07647 -.16045 (385*2π)/3971 weeks
386-.28091 .16991 (386*2π)/3971 weeks
387.45916 .29038 (387*2π)/3971 weeks
388-.02337 .6771 (388*2π)/3971 weeks
389.11265 .1617 (389*2π)/3971 weeks
390-.59427 -.10279 (390*2π)/3971 weeks
391-.21407 .64028 (391*2π)/3971 weeks
392-.02144 .72584 (392*2π)/3971 weeks
393-.21556 .1155 (393*2π)/3971 weeks
394.03882 1.38762 (394*2π)/3971 weeks
3951.39502 1.608 (395*2π)/3971 weeks