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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 159 weeks (.4995*sine), 147 weeks (.4042*sine), and 191 weeks (.2971*sine).

MQIFX (Mutual Quest Fund Class Z) has an average price of 4.95 (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 3/20/2017 for MQIFX (Mutual Quest Fund Class Z), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
04.94848   0 
11.65387 -4.6258 (1*2π)/19051,905 weeks
2.46759 -2.15769 (2*2π)/1905953 weeks
3.3121 -1.50638 (3*2π)/1905635 weeks
4.34872 -1.52395 (4*2π)/1905476 weeks
5-.24403 -1.19808 (5*2π)/1905381 weeks
6-.1754 -.61474 (6*2π)/1905318 weeks
7.07285 -.60773 (7*2π)/1905272 weeks
8-.07553 -.66896 (8*2π)/1905238 weeks
9-.09287 -.40063 (9*2π)/1905212 weeks
10-.06472 -.29708 (10*2π)/1905191 weeks
11.20001 -.22206 (11*2π)/1905173 weeks
12.19638 -.49947 (12*2π)/1905159 weeks
13-.02581 -.40423 (13*2π)/1905147 weeks
14.01273 -.28947 (14*2π)/1905136 weeks
15.05974 -.29227 (15*2π)/1905127 weeks
16.06937 -.3112 (16*2π)/1905119 weeks
17.04826 -.33341 (17*2π)/1905112 weeks
18-.03755 -.23808 (18*2π)/1905106 weeks
19.09031 -.24527 (19*2π)/1905100 weeks
20.04098 -.29123 (20*2π)/190595 weeks
21.01683 -.28013 (21*2π)/190591 weeks
22-.00236 -.24239 (22*2π)/190587 weeks
23.00035 -.23366 (23*2π)/190583 weeks
24.02856 -.1872 (24*2π)/190579 weeks
25.05578 -.27186 (25*2π)/190576 weeks
26-.0413 -.2655 (26*2π)/190573 weeks
27-.03975 -.22622 (27*2π)/190571 weeks
28-.07311 -.15667 (28*2π)/190568 weeks
29.00772 -.13503 (29*2π)/190566 weeks
30.00537 -.1913 (30*2π)/190564 weeks
31-.0382 -.20924 (31*2π)/190561 weeks
32-.06803 -.13449 (32*2π)/190560 weeks
33-.0186 -.12798 (33*2π)/190558 weeks
34-.03 -.1036 (34*2π)/190556 weeks
35-.01138 -.10896 (35*2π)/190554 weeks
36-.00239 -.07748 (36*2π)/190553 weeks
37.06112 -.13605 (37*2π)/190551 weeks
38.0038 -.13249 (38*2π)/190550 weeks
39.02249 -.13526 (39*2π)/190549 weeks
40-.02711 -.13128 (40*2π)/190548 weeks
41.01418 -.09755 (41*2π)/190546 weeks
42.03105 -.12773 (42*2π)/190545 weeks
43.00305 -.1445 (43*2π)/190544 weeks
44-.00276 -.13651 (44*2π)/190543 weeks
45-.02167 -.12922 (45*2π)/190542 weeks
46-.0216 -.10043 (46*2π)/190541 weeks
47-.01056 -.12418 (47*2π)/190541 weeks
48-.02567 -.08706 (48*2π)/190540 weeks
49-.0086 -.09328 (49*2π)/190539 weeks
50.00328 -.07212 (50*2π)/190538 weeks
51.00928 -.11315 (51*2π)/190537 weeks
52-.00896 -.09938 (52*2π)/190537 weeks
53-.00102 -.0843 (53*2π)/190536 weeks
54.00277 -.09427 (54*2π)/190535 weeks
55-.01031 -.07779 (55*2π)/190535 weeks
56.03562 -.09222 (56*2π)/190534 weeks
57-.00177 -.11435 (57*2π)/190533 weeks
58.00368 -.10598 (58*2π)/190533 weeks
59-.01371 -.11166 (59*2π)/190532 weeks
60-.02808 -.10458 (60*2π)/190532 weeks
61-.03862 -.07511 (61*2π)/190531 weeks
62-.01413 -.06645 (62*2π)/190531 weeks
63.00921 -.06532 (63*2π)/190530 weeks
64.00153 -.10085 (64*2π)/190530 weeks
65-.02879 -.076 (65*2π)/190529 weeks
66-.00226 -.0761 (66*2π)/190529 weeks
67-.01584 -.08138 (67*2π)/190528 weeks
68-.00946 -.07685 (68*2π)/190528 weeks
69-.01565 -.06518 (69*2π)/190528 weeks
70-.00629 -.08064 (70*2π)/190527 weeks
71-.02126 -.06157 (71*2π)/190527 weeks
72-.00525 -.07217 (72*2π)/190526 weeks
73-.01952 -.0643 (73*2π)/190526 weeks
74.00421 -.05796 (74*2π)/190526 weeks
75-.02079 -.07432 (75*2π)/190525 weeks
76-.01466 -.05352 (76*2π)/190525 weeks
77-.01166 -.05577 (77*2π)/190525 weeks
78.00687 -.05541 (78*2π)/190524 weeks
79.00093 -.06484 (79*2π)/190524 weeks
80-.0002 -.06368 (80*2π)/190524 weeks
81-.00283 -.06075 (81*2π)/190524 weeks
82.00372 -.07583 (82*2π)/190523 weeks
83-.01506 -.069 (83*2π)/190523 weeks
84-.005 -.06338 (84*2π)/190523 weeks
85-.01662 -.05961 (85*2π)/190522 weeks
86.00232 -.0592 (86*2π)/190522 weeks
87-.01846 -.06687 (87*2π)/190522 weeks
88-.00338 -.05263 (88*2π)/190522 weeks
89-.00146 -.07107 (89*2π)/190521 weeks
90-.00578 -.07291 (90*2π)/190521 weeks
91-.03235 -.07864 (91*2π)/190521 weeks
92-.04173 -.04384 (92*2π)/190521 weeks
93-.01221 -.03727 (93*2π)/190520 weeks
94-.00593 -.04932 (94*2π)/190520 weeks
95-.01213 -.05559 (95*2π)/190520 weeks
96-.02135 -.05348 (96*2π)/190520 weeks
97-.01553 -.03721 (97*2π)/190520 weeks
98-.00954 -.05889 (98*2π)/190519 weeks
99-.02955 -.04074 (99*2π)/190519 weeks
100-.01054 -.03651 (100*2π)/190519 weeks
101-.01401 -.03299 (101*2π)/190519 weeks
102-.00283 -.03897 (102*2π)/190519 weeks
103-.0026 -.03825 (103*2π)/190518 weeks
104-.0081 -.05243 (104*2π)/190518 weeks
105-.01273 -.02745 (105*2π)/190518 weeks
106.00333 -.03954 (106*2π)/190518 weeks
107.00434 -.03903 (107*2π)/190518 weeks
108-.00221 -.05471 (108*2π)/190518 weeks
109-.0108 -.03892 (109*2π)/190517 weeks
110.00386 -.03682 (110*2π)/190517 weeks
111-.00001 -.05234 (111*2π)/190517 weeks
112-.00698 -.05094 (112*2π)/190517 weeks
113-.01267 -.04655 (113*2π)/190517 weeks
114-.00755 -.03518 (114*2π)/190517 weeks
115.00834 -.03911 (115*2π)/190517 weeks
116-.00091 -.05799 (116*2π)/190516 weeks
117-.01781 -.05432 (117*2π)/190516 weeks
118-.02094 -.04103 (118*2π)/190516 weeks
119-.00729 -.02916 (119*2π)/190516 weeks
120.00383 -.04244 (120*2π)/190516 weeks
121-.0089 -.05235 (121*2π)/190516 weeks
122-.01802 -.04284 (122*2π)/190516 weeks
123-.01003 -.03383 (123*2π)/190515 weeks
124-.00749 -.04345 (124*2π)/190515 weeks
125-.01267 -.04464 (125*2π)/190515 weeks
126-.01581 -.03368 (126*2π)/190515 weeks
127-.00848 -.03297 (127*2π)/190515 weeks
128-.01264 -.03434 (128*2π)/190515 weeks
129-.00535 -.0328 (129*2π)/190515 weeks
130-.00832 -.03433 (130*2π)/190515 weeks
131.00034 -.03503 (131*2π)/190515 weeks
132-.00961 -.03688 (132*2π)/190514 weeks
133-.00454 -.0359 (133*2π)/190514 weeks
134-.0117 -.03792 (134*2π)/190514 weeks
135-.00458 -.02985 (135*2π)/190514 weeks
136-.00186 -.0344 (136*2π)/190514 weeks
137-.00418 -.04114 (137*2π)/190514 weeks
138-.01164 -.03678 (138*2π)/190514 weeks
139-.01142 -.03267 (139*2π)/190514 weeks
140.00012 -.02481 (140*2π)/190514 weeks
141.00235 -.04353 (141*2π)/190514 weeks
142-.00414 -.0377 (142*2π)/190513 weeks
143-.00747 -.05029 (143*2π)/190513 weeks
144-.02354 -.03786 (144*2π)/190513 weeks
145-.01067 -.02728 (145*2π)/190513 weeks
146-.0117 -.03451 (146*2π)/190513 weeks
147-.00691 -.0267 (147*2π)/190513 weeks
148-.00531 -.03344 (148*2π)/190513 weeks
149-.00691 -.03644 (149*2π)/190513 weeks
150-.01262 -.03441 (150*2π)/190513 weeks
151-.01124 -.02754 (151*2π)/190513 weeks
152-.00856 -.02583 (152*2π)/190513 weeks
153-.0038 -.02952 (153*2π)/190512 weeks
154-.00079 -.03002 (154*2π)/190512 weeks
155-.00299 -.04071 (155*2π)/190512 weeks
156-.01468 -.0304 (156*2π)/190512 weeks
157-.00036 -.02944 (157*2π)/190512 weeks
158-.00523 -.03875 (158*2π)/190512 weeks
159-.01366 -.03731 (159*2π)/190512 weeks
160-.01245 -.02829 (160*2π)/190512 weeks
161-.00202 -.03177 (161*2π)/190512 weeks
162-.01138 -.03869 (162*2π)/190512 weeks
163-.01516 -.03536 (163*2π)/190512 weeks
164-.02439 -.03006 (164*2π)/190512 weeks
165-.01111 -.01717 (165*2π)/190512 weeks
166-.00815 -.02576 (166*2π)/190511 weeks
167-.01166 -.02278 (167*2π)/190511 weeks
168-.00467 -.01855 (168*2π)/190511 weeks
169-.0024 -.02429 (169*2π)/190511 weeks
170-.00027 -.02974 (170*2π)/190511 weeks
171-.00596 -.03019 (171*2π)/190511 weeks
172-.00017 -.0245 (172*2π)/190511 weeks
173-.00062 -.03863 (173*2π)/190511 weeks
174-.01201 -.03315 (174*2π)/190511 weeks
175-.01178 -.03454 (175*2π)/190511 weeks
176-.01519 -.02584 (176*2π)/190511 weeks
177-.0078 -.02409 (177*2π)/190511 weeks
178-.00568 -.0285 (178*2π)/190511 weeks
179-.01238 -.02566 (179*2π)/190511 weeks
180-.00206 -.02365 (180*2π)/190511 weeks
181-.00612 -.0353 (181*2π)/190511 weeks
182-.00991 -.0259 (182*2π)/190510 weeks
183-.00689 -.02867 (183*2π)/190510 weeks
184-.00863 -.02674 (184*2π)/190510 weeks
185-.00567 -.02825 (185*2π)/190510 weeks
186-.01065 -.0299 (186*2π)/190510 weeks
187-.00508 -.02638 (187*2π)/190510 weeks
188-.01026 -.03667 (188*2π)/190510 weeks
189-.0144 -.02944 (189*2π)/190510 weeks
190-.01467 -.02845 (190*2π)/190510 weeks
191-.0113 -.02307 (191*2π)/190510 weeks
192-.01046 -.03056 (192*2π)/190510 weeks
193-.0163 -.02721 (193*2π)/190510 weeks
194-.02131 -.02485 (194*2π)/190510 weeks
195-.01631 -.01532 (195*2π)/190510 weeks
196-.01316 -.01675 (196*2π)/190510 weeks
197-.0061 -.01449 (197*2π)/190510 weeks
198-.00689 -.01872 (198*2π)/190510 weeks
199-.00592 -.01902 (199*2π)/190510 weeks
200-.00159 -.0213 (200*2π)/190510 weeks
201-.00434 -.02614 (201*2π)/19059 weeks
202-.00606 -.0249 (202*2π)/19059 weeks
203-.00867 -.02656 (203*2π)/19059 weeks
204-.00896 -.02339 (204*2π)/19059 weeks
205-.01062 -.02307 (205*2π)/19059 weeks
206-.00728 -.02544 (206*2π)/19059 weeks
207-.01445 -.02575 (207*2π)/19059 weeks
208-.0114 -.0149 (208*2π)/19059 weeks
209-.00701 -.02144 (209*2π)/19059 weeks
210-.00715 -.01876 (210*2π)/19059 weeks
211-.00806 -.02605 (211*2π)/19059 weeks
212-.01152 -.01815 (212*2π)/19059 weeks
213-.00706 -.02128 (213*2π)/19059 weeks
214-.00914 -.01446 (214*2π)/19059 weeks
215-.00014 -.01872 (215*2π)/19059 weeks
216-.00267 -.02293 (216*2π)/19059 weeks
217-.00227 -.02725 (217*2π)/19059 weeks
218-.00635 -.02742 (218*2π)/19059 weeks
219-.00827 -.03088 (219*2π)/19059 weeks
220-.01645 -.02311 (220*2π)/19059 weeks
221-.01198 -.02593 (221*2π)/19059 weeks
222-.01909 -.01712 (222*2π)/19059 weeks
223-.00623 -.01794 (223*2π)/19059 weeks
224-.0129 -.0181 (224*2π)/19059 weeks
225-.00656 -.01926 (225*2π)/19058 weeks
226-.01307 -.01681 (226*2π)/19058 weeks
227-.00522 -.01363 (227*2π)/19058 weeks
228-.00311 -.0182 (228*2π)/19058 weeks
229-.00471 -.02254 (229*2π)/19058 weeks
230-.00591 -.01991 (230*2π)/19058 weeks
231-.00504 -.02411 (231*2π)/19058 weeks
232-.01 -.02578 (232*2π)/19058 weeks
233-.01487 -.02295 (233*2π)/19058 weeks
234-.01158 -.01463 (234*2π)/19058 weeks
235-.0081 -.01787 (235*2π)/19058 weeks
236-.00675 -.01461 (236*2π)/19058 weeks
237-.00397 -.02317 (237*2π)/19058 weeks
238-.00817 -.02243 (238*2π)/19058 weeks
239-.01124 -.02472 (239*2π)/19058 weeks
240-.01462 -.01559 (240*2π)/19058 weeks
241-.0101 -.01759 (241*2π)/19058 weeks
242-.0113 -.01303 (242*2π)/19058 weeks
243-.00655 -.01278 (243*2π)/19058 weeks
244-.00261 -.01287 (244*2π)/19058 weeks
245-.00067 -.02265 (245*2π)/19058 weeks
246-.00957 -.02083 (246*2π)/19058 weeks
247-.00511 -.01387 (247*2π)/19058 weeks
248.00205 -.02443 (248*2π)/19058 weeks
249-.00872 -.02759 (249*2π)/19058 weeks
250-.0133 -.02212 (250*2π)/19058 weeks
251-.01016 -.01821 (251*2π)/19058 weeks
252-.00919 -.02089 (252*2π)/19058 weeks
253-.01043 -.02291 (253*2π)/19058 weeks
254-.01807 -.01851 (254*2π)/19058 weeks
255-.01285 -.0097 (255*2π)/19057 weeks
256-.00551 -.0116 (256*2π)/19057 weeks
257-.00349 -.01862 (257*2π)/19057 weeks
258-.01042 -.0218 (258*2π)/19057 weeks
259-.01051 -.01476 (259*2π)/19057 weeks
260-.00718 -.01252 (260*2π)/19057 weeks
261-.00676 -.01255 (261*2π)/19057 weeks
262.00054 -.01376 (262*2π)/19057 weeks
263-.00163 -.0256 (263*2π)/19057 weeks
264-.0082 -.02385 (264*2π)/19057 weeks
265-.01222 -.02347 (265*2π)/19057 weeks
266-.01368 -.01693 (266*2π)/19057 weeks
267-.01182 -.01377 (267*2π)/19057 weeks
268-.00787 -.01401 (268*2π)/19057 weeks
269-.00449 -.01535 (269*2π)/19057 weeks
270-.00488 -.02311 (270*2π)/19057 weeks
271-.0139 -.02178 (271*2π)/19057 weeks
272-.01601 -.01309 (272*2π)/19057 weeks
273-.00948 -.00915 (273*2π)/19057 weeks
274-.00231 -.01305 (274*2π)/19057 weeks
275-.0042 -.01992 (275*2π)/19057 weeks
276-.01051 -.01854 (276*2π)/19057 weeks
277-.01025 -.01358 (277*2π)/19057 weeks
278-.00487 -.01313 (278*2π)/19057 weeks
279-.00393 -.01935 (279*2π)/19057 weeks
280-.0098 -.01802 (280*2π)/19057 weeks
281-.00767 -.01447 (281*2π)/19057 weeks
282-.00306 -.01696 (282*2π)/19057 weeks
283-.00528 -.02161 (283*2π)/19057 weeks
284-.01046 -.02272 (284*2π)/19057 weeks
285-.0122 -.01926 (285*2π)/19057 weeks
286-.01366 -.01877 (286*2π)/19057 weeks
287-.01363 -.01462 (287*2π)/19057 weeks
288-.01136 -.01324 (288*2π)/19057 weeks
289-.01036 -.01358 (289*2π)/19057 weeks
290-.00728 -.01254 (290*2π)/19057 weeks
291-.00902 -.01655 (291*2π)/19057 weeks
292-.01016 -.01433 (292*2π)/19057 weeks
293-.0103 -.01619 (293*2π)/19057 weeks
294-.01323 -.01004 (294*2π)/19056 weeks
295-.00298 -.00816 (295*2π)/19056 weeks
296-.00238 -.01698 (296*2π)/19056 weeks
297-.00889 -.0179 (297*2π)/19056 weeks
298-.0101 -.01706 (298*2π)/19056 weeks
299-.01098 -.01366 (299*2π)/19056 weeks
300-.00679 -.01541 (300*2π)/19056 weeks
301-.00967 -.01785 (301*2π)/19056 weeks
302-.01406 -.01422 (302*2π)/19056 weeks
303-.01368 -.00977 (303*2π)/19056 weeks
304-.00748 -.0067 (304*2π)/19056 weeks
305-.00514 -.01419 (305*2π)/19056 weeks
306-.00909 -.01237 (306*2π)/19056 weeks
307-.00529 -.0093 (307*2π)/19056 weeks
308-.00531 -.0127 (308*2π)/19056 weeks
309-.00531 -.01234 (309*2π)/19056 weeks
310-.00391 -.01696 (310*2π)/19056 weeks
311-.00869 -.01234 (311*2π)/19056 weeks
312-.00213 -.01264 (312*2π)/19056 weeks
313-.00493 -.01582 (313*2π)/19056 weeks
314-.00476 -.0178 (314*2π)/19056 weeks
315-.00776 -.01613 (315*2π)/19056 weeks
316-.00535 -.01758 (316*2π)/19056 weeks
317-.00835 -.01801 (317*2π)/19056 weeks
318-.00961 -.01634 (318*2π)/19056 weeks
319-.00924 -.01726 (319*2π)/19056 weeks
320-.01254 -.01574 (320*2π)/19056 weeks
321-.01018 -.01253 (321*2π)/19056 weeks
322-.00936 -.01485 (322*2π)/19056 weeks
323-.01004 -.01114 (323*2π)/19056 weeks
324-.00852 -.01487 (324*2π)/19056 weeks
325-.01123 -.01158 (325*2π)/19056 weeks
326-.00835 -.01101 (326*2π)/19056 weeks
327-.00615 -.01006 (327*2π)/19056 weeks
328-.00296 -.01298 (328*2π)/19056 weeks
329-.00625 -.01653 (329*2π)/19056 weeks
330-.00432 -.01672 (330*2π)/19056 weeks
331-.00948 -.02103 (331*2π)/19056 weeks
332-.01329 -.01618 (332*2π)/19056 weeks
333-.01319 -.01483 (333*2π)/19056 weeks
334-.01165 -.01204 (334*2π)/19056 weeks
335-.01033 -.01509 (335*2π)/19056 weeks
336-.01455 -.0125 (336*2π)/19056 weeks
337-.01173 -.00895 (337*2π)/19056 weeks
338-.0115 -.00871 (338*2π)/19056 weeks
339-.00789 -.00835 (339*2π)/19056 weeks
340-.0106 -.01265 (340*2π)/19056 weeks
341-.00946 -.00499 (341*2π)/19056 weeks
342-.00394 -.00892 (342*2π)/19056 weeks
343-.00548 -.01081 (343*2π)/19056 weeks
344-.00692 -.01309 (344*2π)/19056 weeks
345-.0089 -.01143 (345*2π)/19056 weeks
346-.00655 -.00917 (346*2π)/19056 weeks
347-.00333 -.01249 (347*2π)/19055 weeks
348-.00838 -.01347 (348*2π)/19055 weeks
349-.00647 -.01096 (349*2π)/19055 weeks
350-.00922 -.01365 (350*2π)/19055 weeks
351-.00693 -.00938 (351*2π)/19055 weeks
352-.00499 -.01285 (352*2π)/19055 weeks
353-.00854 -.01119 (353*2π)/19055 weeks
354-.00501 -.0106 (354*2π)/19055 weeks
355-.00709 -.0143 (355*2π)/19055 weeks
356-.00696 -.00991 (356*2π)/19055 weeks
357-.00224 -.01622 (357*2π)/19055 weeks
358-.01142 -.01457 (358*2π)/19055 weeks
359-.00589 -.01075 (359*2π)/19055 weeks
360-.00741 -.01198 (360*2π)/19055 weeks
361-.00335 -.0148 (361*2π)/19055 weeks
362-.00957 -.01747 (362*2π)/19055 weeks
363-.00835 -.01342 (363*2π)/19055 weeks
364-.00861 -.01392 (364*2π)/19055 weeks
365-.00845 -.01682 (365*2π)/19055 weeks
366-.0144 -.01595 (366*2π)/19055 weeks
367-.01564 -.01304 (367*2π)/19055 weeks
368-.0133 -.00822 (368*2π)/19055 weeks
369-.01056 -.00971 (369*2π)/19055 weeks
370-.01375 -.00822 (370*2π)/19055 weeks
371-.00974 -.00459 (371*2π)/19055 weeks
372-.00707 -.00568 (372*2π)/19055 weeks
373-.00543 -.00812 (373*2π)/19055 weeks
374-.00665 -.00975 (374*2π)/19055 weeks
375-.00746 -.00843 (375*2π)/19055 weeks
376-.00549 -.00697 (376*2π)/19055 weeks
377-.00185 -.00947 (377*2π)/19055 weeks
378-.00139 -.01241 (378*2π)/19055 weeks
379-.0053 -.01713 (379*2π)/19055 weeks
380-.00848 -.01337 (380*2π)/19055 weeks
381-.00721 -.01505 (381*2π)/19055 weeks
382-.00945 -.01293 (382*2π)/19055 weeks
383-.00964 -.01607 (383*2π)/19055 weeks
384