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Fourier Analysis of MQIFX (Mutual Quest Fund Class Z)


MQIFX (Mutual Quest Fund Class Z) appears to have interesting cyclic behaviour every 158 weeks (.4332*sine), 146 weeks (.4005*sine), and 190 weeks (.3141*sine).

MQIFX (Mutual Quest Fund Class Z) has an average price of 4.89 (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 9/16/1980 to 1/9/2017 for MQIFX (Mutual Quest Fund Class Z), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
04.89153   0 
11.62687 -4.57433 (1*2π)/18951,895 weeks
2.448 -2.12713 (2*2π)/1895948 weeks
3.29963 -1.4727 (3*2π)/1895632 weeks
4.37521 -1.48807 (4*2π)/1895474 weeks
5-.21608 -1.22466 (5*2π)/1895379 weeks
6-.20306 -.64266 (6*2π)/1895316 weeks
7.05187 -.5982 (7*2π)/1895271 weeks
8-.07279 -.68358 (8*2π)/1895237 weeks
9-.12701 -.4279 (9*2π)/1895211 weeks
10-.12595 -.31414 (10*2π)/1895190 weeks
11.12482 -.17077 (11*2π)/1895172 weeks
12.20411 -.4332 (12*2π)/1895158 weeks
13-.01759 -.40051 (13*2π)/1895146 weeks
14-.01168 -.28155 (14*2π)/1895135 weeks
15.03665 -.26427 (15*2π)/1895126 weeks
16.06066 -.27473 (16*2π)/1895118 weeks
17.06025 -.30531 (17*2π)/1895111 weeks
18-.05262 -.24117 (18*2π)/1895105 weeks
19.07055 -.19934 (19*2π)/1895100 weeks
20.05401 -.25307 (20*2π)/189595 weeks
21.03657 -.2564 (21*2π)/189590 weeks
22.00854 -.23063 (22*2π)/189586 weeks
23.00736 -.22287 (23*2π)/189582 weeks
24.01551 -.15959 (24*2π)/189579 weeks
25.09031 -.21691 (25*2π)/189576 weeks
26.0161 -.26227 (26*2π)/189573 weeks
27.00414 -.24212 (27*2π)/189570 weeks
28-.06557 -.20137 (28*2π)/189568 weeks
29-.01377 -.13425 (29*2π)/189565 weeks
30.02168 -.17227 (30*2π)/189563 weeks
31.00782 -.22055 (31*2π)/189561 weeks
32-.05924 -.18497 (32*2π)/189559 weeks
33-.02759 -.15532 (33*2π)/189557 weeks
34-.05265 -.13735 (34*2π)/189556 weeks
35-.04021 -.13064 (35*2π)/189554 weeks
36-.0621 -.09179 (36*2π)/189553 weeks
37.02846 -.089 (37*2π)/189551 weeks
38-.00535 -.11485 (38*2π)/189550 weeks
39.01831 -.10493 (39*2π)/189549 weeks
40-.02078 -.13832 (40*2π)/189547 weeks
41-.01886 -.08737 (41*2π)/189546 weeks
42.01685 -.08465 (42*2π)/189545 weeks
43.01863 -.11206 (43*2π)/189544 weeks
44.01882 -.11371 (44*2π)/189543 weeks
45.00658 -.12727 (45*2π)/189542 weeks
46-.01712 -.10963 (46*2π)/189541 weeks
47.00983 -.12133 (47*2π)/189540 weeks
48-.02598 -.1109 (48*2π)/189539 weeks
49-.01652 -.10537 (49*2π)/189539 weeks
50-.0304 -.07463 (50*2π)/189538 weeks
51.0064 -.08893 (51*2π)/189537 weeks
52-.00625 -.0976 (52*2π)/189536 weeks
53-.01508 -.08266 (53*2π)/189536 weeks
54-.00384 -.08269 (54*2π)/189535 weeks
55-.03187 -.08515 (55*2π)/189534 weeks
56.00331 -.04495 (56*2π)/189534 weeks
57.00986 -.07701 (57*2π)/189533 weeks
58.01516 -.06745 (58*2π)/189533 weeks
59.02063 -.08211 (59*2π)/189532 weeks
60.01923 -.09843 (60*2π)/189532 weeks
61-.01231 -.10619 (61*2π)/189531 weeks
62-.01971 -.08975 (62*2π)/189531 weeks
63-.01899 -.05755 (63*2π)/189530 weeks
64.01742 -.06774 (64*2π)/189530 weeks
65-.01116 -.08855 (65*2π)/189529 weeks
66-.00331 -.06734 (66*2π)/189529 weeks
67-.00174 -.07892 (67*2π)/189528 weeks
68.00198 -.07357 (68*2π)/189528 weeks
69-.01364 -.07345 (69*2π)/189527 weeks
70.00705 -.06957 (70*2π)/189527 weeks
71-.01451 -.07767 (71*2π)/189527 weeks
72-.00015 -.06711 (72*2π)/189526 weeks
73-.0096 -.08116 (73*2π)/189526 weeks
74-.01094 -.05177 (74*2π)/189526 weeks
75.00119 -.07626 (75*2π)/189525 weeks
76-.01404 -.0727 (76*2π)/189525 weeks
77-.01834 -.07668 (77*2π)/189525 weeks
78-.01905 -.05697 (78*2π)/189524 weeks
79-.01241 -.05699 (79*2π)/189524 weeks
80-.01131 -.05449 (80*2π)/189524 weeks
81-.01915 -.05394 (81*2π)/189523 weeks
82-.00082 -.0433 (82*2π)/189523 weeks
83-.0022 -.05876 (83*2π)/189523 weeks
84-.00216 -.04912 (84*2π)/189523 weeks
85-.0083 -.06284 (85*2π)/189522 weeks
86-.00911 -.04095 (86*2π)/189522 weeks
87-.00125 -.06057 (87*2π)/189522 weeks
88-.01767 -.04882 (88*2π)/189522 weeks
89-.00497 -.04018 (89*2π)/189521 weeks
90.0031 -.02762 (90*2π)/189521 weeks
91.02828 -.04679 (91*2π)/189521 weeks
92.00796 -.075 (92*2π)/189521 weeks
93-.00888 -.06189 (93*2π)/189520 weeks
94-.00738 -.04981 (94*2π)/189520 weeks
95-.00003 -.04658 (95*2π)/189520 weeks
96.0078 -.05593 (96*2π)/189520 weeks
97-.01247 -.05639 (97*2π)/189520 weeks
98.00933 -.04213 (98*2π)/189519 weeks
99.00468 -.06579 (99*2π)/189519 weeks
100-.00011 -.05719 (100*2π)/189519 weeks
101-.00811 -.06484 (101*2π)/189519 weeks
102-.00821 -.05691 (102*2π)/189519 weeks
103-.01592 -.05163 (103*2π)/189518 weeks
104.00591 -.0492 (104*2π)/189518 weeks
105-.01278 -.065 (105*2π)/189518 weeks
106-.01259 -.05513 (106*2π)/189518 weeks
107-.02252 -.04787 (107*2π)/189518 weeks
108-.00453 -.04122 (108*2π)/189518 weeks
109-.00794 -.05551 (109*2π)/189517 weeks
110-.02278 -.04778 (110*2π)/189517 weeks
111-.01489 -.03977 (111*2π)/189517 weeks
112-.00904 -.03827 (112*2π)/189517 weeks
113-.00138 -.04486 (113*2π)/189517 weeks
114-.00965 -.05501 (114*2π)/189517 weeks
115-.0266 -.04176 (115*2π)/189516 weeks
116-.01631 -.02701 (116*2π)/189516 weeks
117-.00184 -.03052 (117*2π)/189516 weeks
118.00481 -.04411 (118*2π)/189516 weeks
119-.01127 -.05195 (119*2π)/189516 weeks
120-.01982 -.03688 (120*2π)/189516 weeks
121-.00824 -.02908 (121*2π)/189516 weeks
122-.00037 -.03761 (122*2π)/189516 weeks
123-.01077 -.04198 (123*2π)/189515 weeks
124-.01006 -.03541 (124*2π)/189515 weeks
125-.00113 -.03103 (125*2π)/189515 weeks
126-.00087 -.03943 (126*2π)/189515 weeks
127-.00562 -.03688 (127*2π)/189515 weeks
128-.00178 -.04229 (128*2π)/189515 weeks
129-.00627 -.0398 (129*2π)/189515 weeks
130-.00374 -.04493 (130*2π)/189515 weeks
131-.01107 -.03613 (131*2π)/189514 weeks
132-.00651 -.03999 (132*2π)/189514 weeks
133-.01099 -.03542 (133*2π)/189514 weeks
134-.00095 -.03792 (134*2π)/189514 weeks
135-.00687 -.04182 (135*2π)/189514 weeks
136-.01295 -.04077 (136*2π)/189514 weeks
137-.01141 -.03196 (137*2π)/189514 weeks
138-.00654 -.03295 (138*2π)/189514 weeks
139.00227 -.03857 (139*2π)/189514 weeks
140-.01356 -.04875 (140*2π)/189514 weeks
141-.01296 -.03596 (141*2π)/189513 weeks
142-.02156 -.03959 (142*2π)/189513 weeks
143-.01791 -.02031 (143*2π)/189513 weeks
144-.00124 -.02712 (144*2π)/189513 weeks
145-.00896 -.03264 (145*2π)/189513 weeks
146-.00135 -.03048 (146*2π)/189513 weeks
147-.00705 -.03647 (147*2π)/189513 weeks
148-.01002 -.03542 (148*2π)/189513 weeks
149-.01142 -.02955 (149*2π)/189513 weeks
150-.00528 -.02677 (150*2π)/189513 weeks
151-.00336 -.02932 (151*2π)/189513 weeks
152-.00321 -.03547 (152*2π)/189512 weeks
153-.00322 -.03658 (153*2π)/189512 weeks
154-.01158 -.04119 (154*2π)/189512 weeks
155-.0133 -.02595 (155*2π)/189512 weeks
156-.00154 -.03469 (156*2π)/189512 weeks
157-.01245 -.0381 (157*2π)/189512 weeks
158-.0168 -.03105 (158*2π)/189512 weeks
159-.00973 -.02537 (159*2π)/189512 weeks
160-.00415 -.03405 (160*2π)/189512 weeks
161-.01638 -.03396 (161*2π)/189512 weeks
162-.01645 -.02803 (162*2π)/189512 weeks
163-.0196 -.02008 (163*2π)/189512 weeks
164-.0016 -.01665 (164*2π)/189512 weeks
165-.00438 -.02678 (165*2π)/189511 weeks
166-.00648 -.02256 (166*2π)/189511 weeks
167.00097 -.0225 (167*2π)/189511 weeks
168-.00046 -.02924 (168*2π)/189511 weeks
169-.00131 -.03413 (169*2π)/189511 weeks
170-.00682 -.03169 (170*2π)/189511 weeks
171.00002 -.02845 (171*2π)/189511 weeks
172-.0057 -.04092 (172*2π)/189511 weeks
173-.01457 -.03116 (173*2π)/189511 weeks
174-.01355 -.0323 (174*2π)/189511 weeks
175-.01384 -.02323 (175*2π)/189511 weeks
176-.0061 -.02418 (176*2π)/189511 weeks
177-.0056 -.02897 (177*2π)/189511 weeks
178-.01142 -.02485 (178*2π)/189511 weeks
179-.00106 -.02522 (179*2π)/189511 weeks
180-.00748 -.03561 (180*2π)/189511 weeks
181-.00957 -.02538 (181*2π)/189510 weeks
182-.00685 -.02872 (182*2π)/189510 weeks
183-.00835 -.02659 (183*2π)/189510 weeks
184-.0056 -.02843 (184*2π)/189510 weeks
185-.01063 -.0296 (185*2π)/189510 weeks
186-.00478 -.02649 (186*2π)/189510 weeks
187-.01042 -.03645 (187*2π)/189510 weeks
188-.01408 -.02905 (188*2π)/189510 weeks
189-.01419 -.02823 (189*2π)/189510 weeks
190-.01076 -.02298 (190*2π)/189510 weeks
191-.00969 -.0306 (191*2π)/189510 weeks
192-.01552 -.02771 (192*2π)/189510 weeks
193-.02083 -.02601 (193*2π)/189510 weeks
194-.01685 -.01635 (194*2π)/189510 weeks
195-.014 -.01746 (195*2π)/189510 weeks
196-.00736 -.01426 (196*2π)/189510 weeks
197-.00768 -.01826 (197*2π)/189510 weeks
198-.00682 -.01824 (198*2π)/189510 weeks
199-.00199 -.01949 (199*2π)/189510 weeks
200-.00344 -.02467 (200*2π)/18959 weeks
201-.00503 -.0239 (201*2π)/18959 weeks
202-.00711 -.0263 (202*2π)/18959 weeks
203-.00803 -.02348 (203*2π)/18959 weeks
204-.00992 -.02346 (204*2π)/18959 weeks
205-.00579 -.02504 (205*2π)/18959 weeks
206-.01252 -.02817 (206*2π)/18959 weeks
207-.01359 -.01689 (207*2π)/18959 weeks
208-.00775 -.02115 (208*2π)/18959 weeks
209-.00841 -.01819 (209*2π)/18959 weeks
210-.00645 -.02569 (210*2π)/18959 weeks
211-.0127 -.02003 (211*2π)/18959 weeks
212-.00789 -.02143 (212*2π)/18959 weeks
213-.01317 -.01546 (213*2π)/18959 weeks
214-.00365 -.0143 (214*2π)/18959 weeks
215-.00326 -.01796 (215*2π)/18959 weeks
216.00018 -.02149 (216*2π)/18959 weeks
217-.00205 -.02354 (217*2π)/18959 weeks
218-.00056 -.02857 (218*2π)/18959 weeks
219-.0114 -.02678 (219*2π)/18959 weeks
220-.00639 -.02837 (220*2π)/18959 weeks
221-.01825 -.02553 (221*2π)/18959 weeks
222-.00799 -.01924 (222*2π)/18959 weeks
223-.01356 -.02225 (223*2π)/18958 weeks
224-.00756 -.01999 (224*2π)/18958 weeks
225-.01475 -.02204 (225*2π)/18958 weeks
226-.01194 -.01444 (226*2π)/18958 weeks
227-.0076 -.01464 (227*2π)/18958 weeks
228-.00507 -.01848 (228*2π)/18958 weeks
229-.00704 -.01673 (229*2π)/18958 weeks
230-.0028 -.01851 (230*2π)/18958 weeks
231-.00339 -.02353 (231*2π)/18958 weeks
232-.0083 -.02745 (232*2π)/18958 weeks
233-.01317 -.02038 (233*2π)/18958 weeks
234-.00988 -.01988 (234*2π)/18958 weeks
235-.01231 -.01503 (235*2π)/18958 weeks
236-.00389 -.0174 (236*2π)/18958 weeks
237-.00492 -.01938 (237*2π)/18958 weeks
238-.00315 -.02483 (238*2π)/18958 weeks
239-.01241 -.0233 (239*2π)/18958 weeks
240-.00932 -.0224 (240*2π)/18958 weeks
241-.01462 -.02119 (241*2π)/18958 weeks
242-.01443 -.01743 (242*2π)/18958 weeks
243-.01432 -.01175 (243*2π)/18958 weeks
244-.004 -.01311 (244*2π)/18958 weeks
245-.00815 -.02023 (245*2π)/18958 weeks
246-.0143 -.01315 (246*2π)/18958 weeks
247-.00155 -.00891 (247*2π)/18958 weeks
248.00037 -.01781 (248*2π)/18958 weeks
249-.00462 -.0218 (249*2π)/18958 weeks
250-.00746 -.01849 (250*2π)/18958 weeks
251-.00514 -.01813 (251*2π)/18958 weeks
252-.00095 -.01974 (252*2π)/18958 weeks
253-.00612 -.02789 (253*2π)/18957 weeks
254-.01459 -.02347 (254*2π)/18957 weeks
255-.01469 -.01657 (255*2π)/18957 weeks
256-.00802 -.01365 (256*2π)/18957 weeks
257-.00448 -.02101 (257*2π)/18957 weeks
258-.00932 -.02141 (258*2π)/18957 weeks
259-.0119 -.01837 (259*2π)/18957 weeks
260-.01505 -.01848 (260*2π)/18957 weeks
261-.0158 -.00904 (261*2π)/18957 weeks
262-.00455 -.00953 (262*2π)/18957 weeks
263-.0033 -.01287 (263*2π)/18957 weeks
264-.00078 -.01792 (264*2π)/18957 weeks
265-.00509 -.02057 (265*2π)/18957 weeks
266-.00938 -.02095 (266*2π)/18957 weeks
267-.01107 -.01864 (267*2π)/18957 weeks
268-.01225 -.01357 (268*2π)/18957 weeks
269-.00349 -.01082 (269*2π)/18957 weeks
270-.00012 -.01833 (270*2π)/18957 weeks
271-.00647 -.02435 (271*2π)/18957 weeks
272-.01347 -.02242 (272*2π)/18957 weeks
273-.01393 -.01455 (273*2π)/18957 weeks
274-.00731 -.0122 (274*2π)/18957 weeks
275-.00548 -.01725 (275*2π)/18957 weeks
276-.0097 -.02007 (276*2π)/18957 weeks
277-.01348 -.01585 (277*2π)/18957 weeks
278-.00823 -.01186 (278*2π)/18957 weeks
279-.00724 -.01667 (279*2π)/18957 weeks
280-.01146 -.01733 (280*2π)/18957 weeks
281-.01238 -.01165 (281*2π)/18957 weeks
282-.00861 -.00882 (282*2π)/18957 weeks
283-.00417 -.01108 (283*2π)/18957 weeks
284-.00435 -.01257 (284*2π)/18957 weeks
285-.00198 -.01497 (285*2π)/18957 weeks
286-.00384 -.0176 (286*2π)/18957 weeks
287-.0058 -.01778 (287*2π)/18957 weeks
288-.00611 -.01868 (288*2π)/18957 weeks
289-.0095 -.01558 (289*2π)/18957 weeks
290-.00611 -.01502 (290*2π)/18957 weeks
291-.00726 -.01587 (291*2π)/18957 weeks
292-.00279 -.01515 (292*2π)/18956 weeks
293-.00532 -.02367 (293*2π)/18956 weeks
294-.01426 -.01872 (294*2π)/18956 weeks
295-.01157 -.01149 (295*2π)/18956 weeks
296-.00853 -.0128 (296*2π)/18956 weeks
297-.00595 -.01337 (297*2π)/18956 weeks
298-.00789 -.01712 (298*2π)/18956 weeks
299-.00905 -.01302 (299*2π)/18956 weeks
300-.00479 -.01048 (300*2π)/18956 weeks
301-.00203 -.01403 (301*2π)/18956 weeks
302-.00214 -.01981 (302*2π)/18956 weeks
303-.00997 -.02078 (303*2π)/18956 weeks
304-.00738 -.01544 (304*2π)/18956 weeks
305-.00497 -.01871 (305*2π)/18956 weeks
306-.0097 -.01853 (306*2π)/18956 weeks
307-.00925 -.01765 (307*2π)/18956 weeks
308-.01184 -.01882 (308*2π)/18956 weeks
309-.00839 -.01316 (309*2π)/18956 weeks
310-.00798 -.01963 (310*2π)/18956 weeks
311-.0127 -.01628 (311*2π)/18956 weeks
312-.01266 -.01618 (312*2π)/18956 weeks
313-.01147 -.01281 (313*2π)/18956 weeks
314-.01131 -.01544 (314*2π)/18956 weeks
315-.01216 -.01211 (315*2π)/18956 weeks
316-.0104 -.01108 (316*2π)/18956 weeks
317-.01046 -.01214 (317*2π)/18956 weeks
318-.0097 -.00941 (318*2π)/18956 weeks
319-.00609 -.01139 (319*2π)/18956 weeks
320-.00824 -.01329 (320*2π)/18956 weeks
321-.00609 -.01106 (321*2π)/18956 weeks
322-.00861 -.01446 (322*2π)/18956 weeks
323-.00702 -.01066 (323*2π)/18956 weeks
324-.00544 -.01399 (324*2π)/18956 weeks
325-.0051 -.01527 (325*2π)/18956 weeks
326-.00736 -.01832 (326*2π)/18956 weeks
327-.01215 -.01631 (327*2π)/18956 weeks
328-.01064 -.01632 (328*2π)/18956 weeks
329-.01593 -.01352 (329*2π)/18956 weeks
330-.01241 -.00785 (330*2π)/18956 weeks
331-.01035 -.00876 (331*2π)/18956 weeks
332-.00754 -.00905 (332*2π)/18956 weeks
333-.0091 -.01186 (333*2π)/18956 weeks
334-.00937 -.00714 (334*2π)/18956 weeks
335-.00479 -.00798 (335*2π)/18956 weeks
336-.0053 -.00909 (336*2π)/18956 weeks
337-.00347 -.01154 (337*2π)/18956 weeks
338-.00817 -.01248 (338*2π)/18956 weeks
339-.00231 -.00815 (339*2π)/18956 weeks
340-.00224 -.01531 (340*2π)/18956 weeks
341-.00576 -.01474 (341*2π)/18956 weeks
342-.00798 -.01488 (342*2π)/18956 weeks
343-.00784 -.01219 (343*2π)/18956 weeks
344-.00471 -.01236 (344*2π)/18956 weeks
345-.00494 -.01644 (345*2π)/18955 weeks
346-.00963 -.0137 (346*2π)/18955 weeks
347-.00639 -.01264 (347*2π)/18955 weeks
348-.00981 -.01356 (348*2π)/18955 weeks
349-.00545 -.01125 (349*2π)/18955 weeks
350-.00608 -.01515 (350*2π)/18955 weeks
351-.00837 -.01182 (351*2π)/18955 weeks
352-.00511 -.01326 (352*2π)/18955 weeks
353-.00874 -.01533 (353*2π)/18955 weeks
354-.00661 -.0116 (354*2π)/18955 weeks
355-.00549 -.01883 (355*2π)/18955 weeks
356-.01289 -.01296 (356*2π)/18955 weeks
357-.00581 -.01189 (357*2π)/18955 weeks
358-.00809 -.01298 (358*2π)/18955 weeks
359-.00567 -.01675 (359*2π)/18955 weeks
360-.01237 -.01654 (360*2π)/18955 weeks
361-.00946 -.01288 (361*2π)/18955 weeks
362-.00997 -.01354 (362*2π)/18955 weeks
363-.01071 -.01606 (363*2π)/18955 weeks
364-.01584 -.01327 (364*2π)/18955 weeks
365-.01549 -.01021 (365*2π)/18955 weeks
366-.01178 -.00655 (366*2π)/18955 weeks
367-.00958 -.00895 (367*2π)/18955 weeks
368-.01237 -.007 (368*2π)/18955 weeks
369-.00772 -.00454 (369*2π)/18955 weeks
370-.00559 -.00641 (370*2π)/18955 weeks
371-.00467 -.0091 (371*2π)/18955 weeks
372-.00628 -.01042 (372*2π)/18955 weeks
373-.00696 -.00894 (373*2π)/18955 weeks
374-.00492 -.00773 (374*2π)/18955 weeks
375-.00166 -.01048 (375*2π)/18955 weeks
376-.00155 -.01328 (376*2π)/18955 weeks
377-.00564 -.01761 (377*2π)/18955 weeks
378-.00859 -.01366 (378*2π)/18955 weeks
379-.00722 -.01534 (379*2π)/18955 weeks
380-.00939 -.01324 (380*2π)/18955 weeks
381-.0094 -.01648 (381*2π)/18955 weeks
382-.01244 -.01176 (382*2π)/18955 weeks
383-.01234 -.01219 (383*2π)/18955 weeks
384-.01273 -.00777 (384*2π)/18955 weeks
385-.00691 -.00853 (385*2π)/18955 weeks
386-.00976 -.01106