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Fourier Analysis of ACRNX (Columbia Acorn Tr, Acorn Fund C)


ACRNX (Columbia Acorn Tr, Acorn Fund C) appears to have interesting cyclic behaviour every 148 weeks (.5428*sine), 193 weeks (.4574*sine), and 161 weeks (.3853*sine).

ACRNX (Columbia Acorn Tr, Acorn Fund C) has an average price of 5.48 (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 1/2/1980 to 11/28/2016 for ACRNX (Columbia Acorn Tr, Acorn Fund C), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
05.47605   0 
12.67236 -5.27804 (1*2π)/19261,926 weeks
2.612 -2.58697 (2*2π)/1926963 weeks
3.60155 -1.94778 (3*2π)/1926642 weeks
4.34907 -1.98734 (4*2π)/1926482 weeks
5-.366 -1.57463 (5*2π)/1926385 weeks
6-.2807 -.67336 (6*2π)/1926321 weeks
7.1375 -.72758 (7*2π)/1926275 weeks
8-.02578 -.88905 (8*2π)/1926241 weeks
9-.20974 -.65136 (9*2π)/1926214 weeks
10-.28237 -.45741 (10*2π)/1926193 weeks
11.0357 -.11192 (11*2π)/1926175 weeks
12.27201 -.38528 (12*2π)/1926161 weeks
13.04445 -.5428 (13*2π)/1926148 weeks
14-.07872 -.42904 (14*2π)/1926138 weeks
15-.05512 -.31128 (15*2π)/1926128 weeks
16.02335 -.27295 (16*2π)/1926120 weeks
17.04846 -.30502 (17*2π)/1926113 weeks
18-.04923 -.40579 (18*2π)/1926107 weeks
19-.06963 -.15036 (19*2π)/1926101 weeks
20.09997 -.1985 (20*2π)/192696 weeks
21.07199 -.26234 (21*2π)/192692 weeks
22.05907 -.26 (22*2π)/192688 weeks
23.01265 -.24788 (23*2π)/192684 weeks
24.00577 -.20262 (24*2π)/192680 weeks
25.09688 -.1417 (25*2π)/192677 weeks
26.1402 -.26179 (26*2π)/192674 weeks
27.06487 -.31382 (27*2π)/192671 weeks
28-.01476 -.33755 (28*2π)/192669 weeks
29-.08683 -.21495 (29*2π)/192666 weeks
30.02401 -.11899 (30*2π)/192664 weeks
31.09876 -.21332 (31*2π)/192662 weeks
32.01088 -.2883 (32*2π)/192660 weeks
33-.04041 -.23576 (33*2π)/192658 weeks
34-.0295 -.20547 (34*2π)/192657 weeks
35-.01353 -.1997 (35*2π)/192655 weeks
36-.06424 -.19681 (36*2π)/192654 weeks
37-.06768 -.11417 (37*2π)/192652 weeks
38.01092 -.13799 (38*2π)/192651 weeks
39.01305 -.13392 (39*2π)/192649 weeks
40.05207 -.17853 (40*2π)/192648 weeks
41-.05579 -.22099 (41*2π)/192647 weeks
42-.08648 -.15588 (42*2π)/192646 weeks
43-.04564 -.07696 (43*2π)/192645 weeks
44-.00173 -.10283 (44*2π)/192644 weeks
45.00929 -.12831 (45*2π)/192643 weeks
46-.01363 -.14367 (46*2π)/192642 weeks
47-.04042 -.09629 (47*2π)/192641 weeks
48.03772 -.11291 (48*2π)/192640 weeks
49-.00995 -.14273 (49*2π)/192639 weeks
50-.01286 -.13645 (50*2π)/192639 weeks
51-.0667 -.11083 (51*2π)/192638 weeks
52.0061 -.07604 (52*2π)/192637 weeks
53.00495 -.12676 (53*2π)/192636 weeks
54-.03713 -.10372 (54*2π)/192636 weeks
55.00091 -.08346 (55*2π)/192635 weeks
56-.025 -.13302 (56*2π)/192634 weeks
57-.0359 -.07316 (57*2π)/192634 weeks
58-.02139 -.09369 (58*2π)/192633 weeks
59-.03084 -.0593 (59*2π)/192633 weeks
60-.01121 -.05803 (60*2π)/192632 weeks
61.02722 -.04852 (61*2π)/192632 weeks
62.03673 -.12218 (62*2π)/192631 weeks
63-.01488 -.11569 (63*2π)/192631 weeks
64-.04271 -.08426 (64*2π)/192630 weeks
65-.01919 -.03725 (65*2π)/192630 weeks
66.02601 -.07839 (66*2π)/192629 weeks
67-.00379 -.07905 (67*2π)/192629 weeks
68.01559 -.06886 (68*2π)/192628 weeks
69.00319 -.08393 (69*2π)/192628 weeks
70.00576 -.09231 (70*2π)/192628 weeks
71-.00823 -.08265 (71*2π)/192627 weeks
72.00837 -.08497 (72*2π)/192627 weeks
73-.00335 -.0799 (73*2π)/192626 weeks
74.01075 -.08409 (74*2π)/192626 weeks
75-.02108 -.09465 (75*2π)/192626 weeks
76.00231 -.0493 (76*2π)/192625 weeks
77.02509 -.08458 (77*2π)/192625 weeks
78.0091 -.08428 (78*2π)/192625 weeks
79.00632 -.10112 (79*2π)/192624 weeks
80-.0148 -.09944 (80*2π)/192624 weeks
81-.00588 -.09418 (81*2π)/192624 weeks
82-.03122 -.10652 (82*2π)/192623 weeks
83-.05057 -.06536 (83*2π)/192623 weeks
84-.02227 -.06007 (84*2π)/192623 weeks
85-.02377 -.07107 (85*2π)/192623 weeks
86-.01516 -.06093 (86*2π)/192622 weeks
87-.02868 -.07019 (87*2π)/192622 weeks
88-.01527 -.04622 (88*2π)/192622 weeks
89-.01536 -.06974 (89*2π)/192622 weeks
90-.03636 -.06816 (90*2π)/192621 weeks
91-.03549 -.05948 (91*2π)/192621 weeks
92-.04337 -.02311 (92*2π)/192621 weeks
93.00224 -.01199 (93*2π)/192621 weeks
94.01901 -.049 (94*2π)/192620 weeks
95.00007 -.06879 (95*2π)/192620 weeks
96-.02623 -.0515 (96*2π)/192620 weeks
97-.01398 -.03525 (97*2π)/192620 weeks
98.00214 -.04201 (98*2π)/192620 weeks
99-.01692 -.06278 (99*2π)/192619 weeks
100-.02254 -.01929 (100*2π)/192619 weeks
101.00954 -.0336 (101*2π)/192619 weeks
102.0061 -.02838 (102*2π)/192619 weeks
103.01793 -.04545 (103*2π)/192619 weeks
104.00663 -.05538 (104*2π)/192619 weeks
105-.00897 -.04697 (105*2π)/192618 weeks
106.01145 -.02302 (106*2π)/192618 weeks
107.02925 -.04929 (107*2π)/192618 weeks
108.02529 -.06571 (108*2π)/192618 weeks
109.0002 -.0762 (109*2π)/192618 weeks
110-.00479 -.05107 (110*2π)/192618 weeks
111.00738 -.04773 (111*2π)/192617 weeks
112.01685 -.06822 (112*2π)/192617 weeks
113-.00368 -.0769 (113*2π)/192617 weeks
114-.02822 -.06144 (114*2π)/192617 weeks
115-.01432 -.0285 (115*2π)/192617 weeks
116.02549 -.03793 (116*2π)/192617 weeks
117.01607 -.08647 (117*2π)/192616 weeks
118-.02499 -.08131 (118*2π)/192616 weeks
119-.03562 -.05067 (119*2π)/192616 weeks
120-.02195 -.01905 (120*2π)/192616 weeks
121.01801 -.03321 (121*2π)/192616 weeks
122.00257 -.06296 (122*2π)/192616 weeks
123-.00888 -.05615 (123*2π)/192616 weeks
124-.01319 -.04834 (124*2π)/192616 weeks
125-.00192 -.04972 (125*2π)/192615 weeks
126-.00808 -.06143 (126*2π)/192615 weeks
127-.03086 -.05035 (127*2π)/192615 weeks
128-.01714 -.03292 (128*2π)/192615 weeks
129-.00343 -.03621 (129*2π)/192615 weeks
130.00357 -.03675 (130*2π)/192615 weeks
131-.00355 -.05309 (131*2π)/192615 weeks
132-.00956 -.04319 (132*2π)/192615 weeks
133-.00761 -.05424 (133*2π)/192614 weeks
134-.01373 -.04173 (134*2π)/192614 weeks
135-.00844 -.04815 (135*2π)/192614 weeks
136-.01964 -.04111 (136*2π)/192614 weeks
137-.00735 -.03869 (137*2π)/192614 weeks
138-.00268 -.0401 (138*2π)/192614 weeks
139-.00751 -.05151 (139*2π)/192614 weeks
140-.02079 -.04412 (140*2π)/192614 weeks
141-.02825 -.03298 (141*2π)/192614 weeks
142-.01173 -.01009 (142*2π)/192614 weeks
143.00882 -.02931 (143*2π)/192613 weeks
144.00906 -.02919 (144*2π)/192613 weeks
145.01191 -.0503 (145*2π)/192613 weeks
146-.01483 -.04902 (146*2π)/192613 weeks
147-.00684 -.03004 (147*2π)/192613 weeks
148.00012 -.03947 (148*2π)/192613 weeks
149.00182 -.03473 (149*2π)/192613 weeks
150.00711 -.03868 (150*2π)/192613 weeks
151.00443 -.05113 (151*2π)/192613 weeks
152-.0023 -.05499 (152*2π)/192613 weeks
153-.01396 -.05439 (153*2π)/192613 weeks
154-.01899 -.04282 (154*2π)/192613 weeks
155-.0197 -.04273 (155*2π)/192612 weeks
156-.01576 -.02461 (156*2π)/192612 weeks
157-.00105 -.03809 (157*2π)/192612 weeks
158-.0177 -.03989 (158*2π)/192612 weeks
159-.01123 -.02498 (159*2π)/192612 weeks
160.00004 -.02421 (160*2π)/192612 weeks
161.00221 -.04372 (161*2π)/192612 weeks
162-.01703 -.03798 (162*2π)/192612 weeks
163-.00358 -.01781 (163*2π)/192612 weeks
164.00835 -.03377 (164*2π)/192612 weeks
165.01108 -.03916 (165*2π)/192612 weeks
166.00979 -.06088 (166*2π)/192612 weeks
167-.01711 -.05788 (167*2π)/192612 weeks
168-.01799 -.04234 (168*2π)/192611 weeks
169-.01457 -.04605 (169*2π)/192611 weeks
170-.02566 -.04157 (170*2π)/192611 weeks
171-.02455 -.0335 (171*2π)/192611 weeks
172-.01918 -.02387 (172*2π)/192611 weeks
173-.00665 -.02599 (173*2π)/192611 weeks
174-.01388 -.03252 (174*2π)/192611 weeks
175-.01026 -.02042 (175*2π)/192611 weeks
176.00061 -.03057 (176*2π)/192611 weeks
177-.0027 -.03006 (177*2π)/192611 weeks
178.00274 -.04066 (178*2π)/192611 weeks
179-.01662 -.04347 (179*2π)/192611 weeks
180-.01626 -.02612 (180*2π)/192611 weeks
181-.00582 -.03908 (181*2π)/192611 weeks
182-.02346 -.0306 (182*2π)/192611 weeks
183-.00925 -.01385 (183*2π)/192611 weeks
184.00366 -.02796 (184*2π)/192610 weeks
185-.00567 -.03845 (185*2π)/192610 weeks
186-.01317 -.03255 (186*2π)/192610 weeks
187-.01209 -.03047 (187*2π)/192610 weeks
188-.01313 -.02464 (188*2π)/192610 weeks
189-.01101 -.02985 (189*2π)/192610 weeks
190-.01131 -.01714 (190*2π)/192610 weeks
191.00066 -.02048 (191*2π)/192610 weeks
192.00181 -.03149 (192*2π)/192610 weeks
193-.00619 -.03699 (193*2π)/192610 weeks
194-.01814 -.02833 (194*2π)/192610 weeks
195-.01279 -.01679 (195*2π)/192610 weeks
196.00257 -.00941 (196*2π)/192610 weeks
197.01591 -.02522 (197*2π)/192610 weeks
198.01186 -.04108 (198*2π)/192610 weeks
199-.00498 -.05058 (199*2π)/192610 weeks
200-.01305 -.03422 (200*2π)/192610 weeks
201-.0072 -.03205 (201*2π)/192610 weeks
202-.00713 -.03786 (202*2π)/192610 weeks
203-.01602 -.03693 (203*2π)/19269 weeks
204-.01377 -.02642 (204*2π)/19269 weeks
205-.01225 -.02791 (205*2π)/19269 weeks
206-.00937 -.02382 (206*2π)/19269 weeks
207-.00577 -.02369 (207*2π)/19269 weeks
208-.00955 -.02699 (208*2π)/19269 weeks
209-.00559 -.01846 (209*2π)/19269 weeks
210.00697 -.02241 (210*2π)/19269 weeks
211.00185 -.03478 (211*2π)/19269 weeks
212-.00271 -.036 (212*2π)/19269 weeks
213-.01136 -.03528 (213*2π)/19269 weeks
214-.00888 -.02753 (214*2π)/19269 weeks
215-.00957 -.03034 (215*2π)/19269 weeks
216-.00771 -.02007 (216*2π)/19269 weeks
217.0053 -.02849 (217*2π)/19269 weeks
218-.00005 -.0429 (218*2π)/19269 weeks
219-.01527 -.04268 (219*2π)/19269 weeks
220-.01689 -.03088 (220*2π)/19269 weeks
221-.01605 -.02898 (221*2π)/19269 weeks
222-.01627 -.02072 (222*2π)/19269 weeks
223-.01079 -.02923 (223*2π)/19269 weeks
224-.01994 -.01473 (224*2π)/19269 weeks
225.00029 -.01314 (225*2π)/19269 weeks
226-.00269 -.02379 (226*2π)/19269 weeks
227.00501 -.02574 (227*2π)/19268 weeks
228-.00751 -.03266 (228*2π)/19268 weeks
229-.00111 -.02211 (229*2π)/19268 weeks
230.00314 -.031 (230*2π)/19268 weeks
231-.0004 -.03959 (231*2π)/19268 weeks
232-.01185 -.04066 (232*2π)/19268 weeks
233-.01349 -.03425 (233*2π)/19268 weeks
234-.01394 -.03636 (234*2π)/19268 weeks
235-.02401 -.03254 (235*2π)/19268 weeks
236-.02442 -.01759 (236*2π)/19268 weeks
237-.01327 -.01391 (237*2π)/19268 weeks
238-.00468 -.01719 (238*2π)/19268 weeks
239.00107 -.02149 (239*2π)/19268 weeks
240-.00237 -.02876 (240*2π)/19268 weeks
241-.00659 -.03192 (241*2π)/19268 weeks
242-.01385 -.03018 (242*2π)/19268 weeks
243-.01015 -.02588 (243*2π)/19268 weeks
244-.01292 -.02609 (244*2π)/19268 weeks
245-.00864 -.01967 (245*2π)/19268 weeks
246-.00101 -.02268 (246*2π)/19268 weeks
247.00163 -.03289 (247*2π)/19268 weeks
248-.01413 -.04058 (248*2π)/19268 weeks
249-.02258 -.02343 (249*2π)/19268 weeks
250-.00912 -.01015 (250*2π)/19268 weeks
251.00509 -.02986 (251*2π)/19268 weeks
252-.01056 -.03892 (252*2π)/19268 weeks
253-.01664 -.02973 (253*2π)/19268 weeks
254-.01606 -.02566 (254*2π)/19268 weeks
255-.01086 -.02536 (255*2π)/19268 weeks
256-.01149 -.03438 (256*2π)/19268 weeks
257-.02502 -.0295 (257*2π)/19267 weeks
258-.02615 -.01436 (258*2π)/19267 weeks
259-.01213 -.00796 (259*2π)/19267 weeks
260-.00286 -.01807 (260*2π)/19267 weeks
261-.0076 -.02959 (261*2π)/19267 weeks
262-.0162 -.02881 (262*2π)/19267 weeks
263-.02152 -.01778 (263*2π)/19267 weeks
264-.01902 -.01294 (264*2π)/19267 weeks
265-.00879 -.00542 (265*2π)/19267 weeks
266.00614 -.01571 (266*2π)/19267 weeks
267-.0005 -.0257 (267*2π)/19267 weeks
268-.00262 -.02974 (268*2π)/19267 weeks
269-.01523 -.03386 (269*2π)/19267 weeks
270-.02374 -.02572 (270*2π)/19267 weeks
271-.01791 -.01549 (271*2π)/19267 weeks
272-.01305 -.01302 (272*2π)/19267 weeks
273-.00291 -.0139 (273*2π)/19267 weeks
274-.00364 -.02482 (274*2π)/19267 weeks
275-.01306 -.03028 (275*2π)/19267 weeks
276-.02123 -.02552 (276*2π)/19267 weeks
277-.02307 -.00711 (277*2π)/19267 weeks
278-.0045 -.0033 (278*2π)/19267 weeks
279.00018 -.01731 (279*2π)/19267 weeks
280-.00275 -.02114 (280*2π)/19267 weeks
281-.00653 -.02096 (281*2π)/19267 weeks
282-.00288 -.0174 (282*2π)/19267 weeks
283-.00239 -.02669 (283*2π)/19267 weeks
284-.01046 -.02888 (284*2π)/19267 weeks
285-.01755 -.02015 (285*2π)/19267 weeks
286-.00908 -.01284 (286*2π)/19267 weeks
287-.00067 -.01724 (287*2π)/19267 weeks
288-.00313 -.02488 (288*2π)/19267 weeks
289-.00564 -.02653 (289*2π)/19267 weeks
290-.01039 -.02781 (290*2π)/19267 weeks
291-.0132 -.02387 (291*2π)/19267 weeks
292-.01266 -.02143 (292*2π)/19267 weeks
293-.01465 -.02294 (293*2π)/19267 weeks
294-.01321 -.01452 (294*2π)/19267 weeks
295-.00674 -.01568 (295*2π)/19267 weeks
296-.00619 -.01684 (296*2π)/19267 weeks
297-.00279 -.02569 (297*2π)/19266 weeks
298-.01455 -.03096 (298*2π)/19266 weeks
299-.02284 -.01798 (299*2π)/19266 weeks
300-.00814 -.00822 (300*2π)/19266 weeks
301-.00201 -.01751 (301*2π)/19266 weeks
302-.00505 -.02433 (302*2π)/19266 weeks
303-.01239 -.02574 (303*2π)/19266 weeks
304-.01295 -.01767 (304*2π)/19266 weeks
305-.00211 -.017 (305*2π)/19266 weeks
306-.00188 -.02839 (306*2π)/19266 weeks
307-.01438 -.03432 (307*2π)/19266 weeks
308-.02292 -.02239 (308*2π)/19266 weeks
309-.01345 -.01739 (309*2π)/19266 weeks
310-.00996 -.02453 (310*2π)/19266 weeks
311-.0171 -.02262 (311*2π)/19266 weeks
312-.01607 -.02155 (312*2π)/19266 weeks
313-.02093 -.02155 (313*2π)/19266 weeks
314-.01283 -.01191 (314*2π)/19266 weeks
315-.01263 -.02089 (315*2π)/19266 weeks
316-.01809 -.01595 (316*2π)/19266 weeks
317-.01401 -.01669 (317*2π)/19266 weeks
318-.01312 -.01432 (318*2π)/19266 weeks
319-.01138 -.0185 (319*2π)/19266 weeks
320-.01363 -.01544 (320*2π)/19266 weeks
321-.01194 -.01795 (321*2π)/19266 weeks
322-.01388 -.01867 (322*2π)/19266 weeks
323-.01725 -.0143 (323*2π)/19266 weeks
324-.01115 -.01206 (324*2π)/19266 weeks
325-.01137 -.01768 (325*2π)/19266 weeks
326-.01341 -.01638 (326*2π)/19266 weeks
327-.0149 -.02098 (327*2π)/19266 weeks
328-.01911 -.01158 (328*2π)/19266 weeks
329-.01194 -.00904 (329*2π)/19266 weeks
330-.00882 -.01044 (330*2π)/19266 weeks
331-.00615 -.01595 (331*2π)/19266 weeks
332-.01197 -.01979 (332*2π)/19266 weeks
333-.01226 -.01501 (333*2π)/19266 weeks
334-.01553 -.01744 (334*2π)/19266 weeks
335-.01677 -.01101 (335*2π)/19266 weeks
336-.01149 -.01067 (336*2π)/19266 weeks
337-.01066 -.0126 (337*2π)/19266 weeks
338-.00976 -.0141 (338*2π)/19266 weeks
339-.01459 -.01505 (339*2π)/19266 weeks
340-.0128 -.00822 (340*2π)/19266 weeks
341-.00745 -.01244 (341*2π)/19266 weeks
342-.00882 -.01468 (342*2π)/19266 weeks
343-.01265 -.01674 (343*2π)/19266 weeks
344-.01838 -.00607 (344*2π)/19266 weeks
345-.00238 -.0054 (345*2π)/19266 weeks
346-.00496 -.01617 (346*2π)/19266 weeks
347-.00773 -.01543 (347*2π)/19266 weeks
348-.01304 -.01405 (348*2π)/19266 weeks
349-.01053 -.00592 (349*2π)/19266 weeks
350-.00141 -.01125 (350*2π)/19266 weeks
351-.00446 -.01858 (351*2π)/19265 weeks
352-.0098 -.01273 (352*2π)/19265 weeks
353-.00248 -.0134 (353*2π)/19265 weeks
354-.00843 -.01627 (354*2π)/19265 weeks
355-.00291 -.01632 (355*2π)/19265 weeks
356-.00593 -.0237 (356*2π)/19265 weeks
357-.01299 -.01746 (357*2π)/19265 weeks
358-.00775 -.01594 (358*2π)/19265 weeks
359-.01159 -.01846 (359*2π)/19265 weeks
360-.00842 -.01348 (360*2π)/19265 weeks
361-.00543 -.02496 (361*2π)/19265 weeks
362-.02076 -.02017 (362*2π)/19265 weeks
363-.01246 -.0107 (363*2π)/19265 weeks
364-.01087 -.01335 (364*2π)/19265 weeks
365-.00659 -.016 (365*2π)/19265 weeks
366-.01369 -.01994 (366*2π)/19265 weeks
367-.01175 -.01073 (367*2π)/19265 weeks
368-.00671 -.01479 (368*2π)/19265 weeks
369-.00552 -.02207 (369*2π)/19265 weeks
370-.01834 -.02554 (370*2π)/19265 weeks
371-.02298 -.01725 (371*2π)/19265 weeks
372-.01928