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# Fourier Analysis of FITUX (FIRST INVESTORS TOTAL RETURN FUND ADVISOR CLASS)

FITUX (FIRST INVESTORS TOTAL RETURN FUND ADVISOR CLASS) appears to have interesting cyclic behaviour every 36 weeks (.2571*sine), 32 weeks (.1807*sine), and 36 weeks (.107*cosine).

FITUX (FIRST INVESTORS TOTAL RETURN FUND ADVISOR CLASS) has an average price of 12.97 (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 4/3/2013 to 1/27/2020 for FITUX (FIRST INVESTORS TOTAL RETURN FUND ADVISOR CLASS), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
012.96653   0
1.16931 -1.3611 (1*2π)/357357 weeks
2-.25679 -.53827 (2*2π)/357179 weeks
3.15669 -.65389 (3*2π)/357119 weeks
4.11121 -.45997 (4*2π)/35789 weeks
5-.13202 -.44425 (5*2π)/35771 weeks
6.00067 -.34402 (6*2π)/35760 weeks
7-.04989 -.20136 (7*2π)/35751 weeks
8-.06116 -.19349 (8*2π)/35745 weeks
9.04133 -.14093 (9*2π)/35740 weeks
10.107 -.25706 (10*2π)/35736 weeks
11-.02291 -.18069 (11*2π)/35732 weeks
12-.07211 -.14267 (12*2π)/35730 weeks
13.01354 -.08346 (13*2π)/35727 weeks
14-.01926 -.10972 (14*2π)/35726 weeks
15-.01843 -.14997 (15*2π)/35724 weeks
16.04834 -.12398 (16*2π)/35722 weeks
17-.0703 -.13191 (17*2π)/35721 weeks
18-.01425 -.13542 (18*2π)/35720 weeks
19-.05175 -.05556 (19*2π)/35719 weeks
20-.00007 -.11903 (20*2π)/35718 weeks
21.00922 -.07649 (21*2π)/35717 weeks
22-.04518 -.08463 (22*2π)/35716 weeks
23.00093 -.05544 (23*2π)/35716 weeks
24-.00599 -.08254 (24*2π)/35715 weeks
25-.02946 -.06737 (25*2π)/35714 weeks
26-.02044 -.04873 (26*2π)/35714 weeks
27-.03051 -.07688 (27*2π)/35713 weeks
28-.01495 -.07925 (28*2π)/35713 weeks
29-.01275 -.07342 (29*2π)/35712 weeks
30-.02683 -.04788 (30*2π)/35712 weeks
31-.07992 -.04543 (31*2π)/35712 weeks
32-.03375 -.04032 (32*2π)/35711 weeks
33-.00217 -.04643 (33*2π)/35711 weeks
34-.0185 -.05186 (34*2π)/35711 weeks
35.00829 -.06556 (35*2π)/35710 weeks
36-.03535 -.07501 (36*2π)/35710 weeks
37-.01764 -.08475 (37*2π)/35710 weeks
38-.02608 -.05037 (38*2π)/3579 weeks
39-.01415 -.03614 (39*2π)/3579 weeks
40-.01409 -.04925 (40*2π)/3579 weeks
41-.0274 -.06427 (41*2π)/3579 weeks
42-.04224 -.06053 (42*2π)/3579 weeks
43-.00694 -.04379 (43*2π)/3578 weeks
44-.00592 -.02581 (44*2π)/3578 weeks
45-.00827 -.03021 (45*2π)/3578 weeks
46-.00748 -.04022 (46*2π)/3578 weeks
47-.0037 -.05108 (47*2π)/3578 weeks
48-.03031 -.01885 (48*2π)/3577 weeks
49-.02758 -.01086 (49*2π)/3577 weeks
50-.01311 -.02632 (50*2π)/3577 weeks
51-.00807 -.03995 (51*2π)/3577 weeks
52-.01666 -.03063 (52*2π)/3577 weeks
53-.01287 -.02704 (53*2π)/3577 weeks
54-.00116 -.04672 (54*2π)/3577 weeks
55-.02819 -.03037 (55*2π)/3576 weeks
56-.0114 -.01432 (56*2π)/3576 weeks
57-.01334 -.02741 (57*2π)/3576 weeks
58-.02404 -.05439 (58*2π)/3576 weeks
59-.02015 -.01524 (59*2π)/3576 weeks
60-.0159 -.03359 (60*2π)/3576 weeks
61-.01852 -.02686 (61*2π)/3576 weeks
62-.01922 -.02906 (62*2π)/3576 weeks
63-.00929 -.00795 (63*2π)/3576 weeks
64-.00798 -.02773 (64*2π)/3576 weeks
65.0006 -.02779 (65*2π)/3575 weeks
66-.02892 -.0196 (66*2π)/3575 weeks
67-.0153 -.03203 (67*2π)/3575 weeks
68-.03451 -.02653 (68*2π)/3575 weeks
69-.02666 -.02268 (69*2π)/3575 weeks
70.00054 -.01947 (70*2π)/3575 weeks
71-.01156 -.01766 (71*2π)/3575 weeks
72-.02336 -.04014 (72*2π)/3575 weeks
73-.01981 -.02423 (73*2π)/3575 weeks
74-.01636 -.01609 (74*2π)/3575 weeks
75-.0068 -.01774 (75*2π)/3575 weeks
76-.01395 -.00841 (76*2π)/3575 weeks
77-.01553 -.02728 (77*2π)/3575 weeks
78-.00781 -.01083 (78*2π)/3575 weeks
79-.02095 -.01575 (79*2π)/3575 weeks
80-.01556 -.00989 (80*2π)/3574 weeks
81-.02164 -.00459 (81*2π)/3574 weeks
82-.01714 -.02836 (82*2π)/3574 weeks
83-.00788 -.01832 (83*2π)/3574 weeks
84-.01332 -.0197 (84*2π)/3574 weeks
85-.02298 -.01106 (85*2π)/3574 weeks
86-.03201 -.00975 (86*2π)/3574 weeks
87-.00279 -.02339 (87*2π)/3574 weeks
88-.01434 -.00956 (88*2π)/3574 weeks
89-.03083 -.01099 (89*2π)/3574 weeks
90-.01303 -.01607 (90*2π)/3574 weeks
91-.0179 -.00257 (91*2π)/3574 weeks
92-.02484 -.01874 (92*2π)/3574 weeks
93-.01654 .00606 (93*2π)/3574 weeks
94-.01854 -.02158 (94*2π)/3574 weeks
95-.0105 -.02299 (95*2π)/3574 weeks
96-.02114 -.013 (96*2π)/3574 weeks
97-.02176 -.00458 (97*2π)/3574 weeks
98-.00908 -.01093 (98*2π)/3574 weeks
99-.01422 -.01017 (99*2π)/3574 weeks
100-.00873 -.01748 (100*2π)/3574 weeks
101-.01804 -.01321 (101*2π)/3574 weeks
102-.02268 -.02118 (102*2π)/3574 weeks
103-.01946 -.00381 (103*2π)/3573 weeks
104-.00376 -.007 (104*2π)/3573 weeks
105-.00816 -.01869 (105*2π)/3573 weeks
106-.01379 -.0056 (106*2π)/3573 weeks
107-.01875 -.0059 (107*2π)/3573 weeks
108-.0119 -.00914 (108*2π)/3573 weeks
109-.01891 -.01143 (109*2π)/3573 weeks
110-.01984 -.00502 (110*2π)/3573 weeks
111-.00828 -.00871 (111*2π)/3573 weeks
112-.0058 -.00713 (112*2π)/3573 weeks
113-.02309 -.00445 (113*2π)/3573 weeks
114-.00867 -.00305 (114*2π)/3573 weeks
115-.00032 -.00964 (115*2π)/3573 weeks
116-.0184 -.01895 (116*2π)/3573 weeks
117-.02061 -.00552 (117*2π)/3573 weeks
118-.01522 -.01109 (118*2π)/3573 weeks
119-.0204 -.01739 (119*2π)/3573 weeks
120-.02026 -.00148 (120*2π)/3573 weeks
121-.01718 -.0002 (121*2π)/3573 weeks
122-.00397 -.01082 (122*2π)/3573 weeks
123-.01214 -.01163 (123*2π)/3573 weeks
124-.022 .00075 (124*2π)/3573 weeks
125-.00826 -.00137 (125*2π)/3573 weeks
126-.00723 -.01129 (126*2π)/3573 weeks
127-.02155 -.00062 (127*2π)/3573 weeks
128-.01473 -.0015 (128*2π)/3573 weeks
129-.01502 -.00396 (129*2π)/3573 weeks
130-.02143 -.01199 (130*2π)/3573 weeks
131-.01724 -.0011 (131*2π)/3573 weeks
132-.01016 -.01141 (132*2π)/3573 weeks
133-.01445 -.00962 (133*2π)/3573 weeks
134-.02822 -.00596 (134*2π)/3573 weeks
135-.02085 -.00441 (135*2π)/3573 weeks
136-.01677 -.00629 (136*2π)/3573 weeks
137-.01025 .00048 (137*2π)/3573 weeks
138-.02385 -.00219 (138*2π)/3573 weeks
139-.01938 -.01053 (139*2π)/3573 weeks
140-.01231 -.00912 (140*2π)/3573 weeks
141-.01836 .00222 (141*2π)/3573 weeks
142-.01253 -.00329 (142*2π)/3573 weeks
143-.00457 -.01012 (143*2π)/3572 weeks
144-.00848 -.00832 (144*2π)/3572 weeks
145-.02024 -.00901 (145*2π)/3572 weeks
146-.02164 -.00383 (146*2π)/3572 weeks
147-.0215 -.00408 (147*2π)/3572 weeks
148-.01348 -.00292 (148*2π)/3572 weeks
149-.02271 .00361 (149*2π)/3572 weeks
150-.01865 -.00939 (150*2π)/3572 weeks
151-.01033 .00338 (151*2π)/3572 weeks
152-.0127 -.00263 (152*2π)/3572 weeks
153-.01421 .00256 (153*2π)/3572 weeks
154-.00948 -.00153 (154*2π)/3572 weeks
155-.02018 -.00904 (155*2π)/3572 weeks
156-.0135 -.01166 (156*2π)/3572 weeks
157-.02139 -.00295 (157*2π)/3572 weeks
158-.01815 -.00626 (158*2π)/3572 weeks
159-.01995 -.00424 (159*2π)/3572 weeks
160-.01054 .00801 (160*2π)/3572 weeks
161-.01956 .001 (161*2π)/3572 weeks
162-.01561 -.00963 (162*2π)/3572 weeks
163-.01715 -.01396 (163*2π)/3572 weeks
164-.01884 -.00843 (164*2π)/3572 weeks
165-.01501 .0058 (165*2π)/3572 weeks
166-.01877 .00193 (166*2π)/3572 weeks
167-.01666 -.00392 (167*2π)/3572 weeks
168-.0178 -.0044 (168*2π)/3572 weeks
169-.0148 -.00838 (169*2π)/3572 weeks
170-.03204 -.00698 (170*2π)/3572 weeks
171-.02199 -.00222 (171*2π)/3572 weeks
172-.01421 .01208 (172*2π)/3572 weeks
173-.01201 -.00214 (173*2π)/3572 weeks
174-.0137 -.00939 (174*2π)/3572 weeks
175-.01845 .00367 (175*2π)/3572 weeks
176-.02368 -.00707 (176*2π)/3572 weeks
177-.00791 .00132 (177*2π)/3572 weeks
178-.01702 -.00158 (178*2π)/3572 weeks
179-.01702 .00158 (179*2π)/3572 weeks
180-.00791 -.00132 (180*2π)/3572 weeks
181-.02368 .00707 (181*2π)/3572 weeks
182-.01845 -.00367 (182*2π)/3572 weeks
183-.0137 .00939 (183*2π)/3572 weeks
184-.01201 .00214 (184*2π)/3572 weeks
185-.01421 -.01208 (185*2π)/3572 weeks
186-.02199 .00222 (186*2π)/3572 weeks
187-.03204 .00698 (187*2π)/3572 weeks
188-.0148 .00838 (188*2π)/3572 weeks
189-.0178 .0044 (189*2π)/3572 weeks
190-.01666 .00392 (190*2π)/3572 weeks
191-.01877 -.00193 (191*2π)/3572 weeks
192-.01501 -.0058 (192*2π)/3572 weeks
193-.01884 .00843 (193*2π)/3572 weeks
194-.01715 .01396 (194*2π)/3572 weeks
195-.01561 .00963 (195*2π)/3572 weeks
196-.01956 -.001 (196*2π)/3572 weeks
197-.01054 -.00801 (197*2π)/3572 weeks
198-.01995 .00424 (198*2π)/3572 weeks
199-.01815 .00626 (199*2π)/3572 weeks
200-.02139 .00295 (200*2π)/3572 weeks
201-.0135 .01166 (201*2π)/3572 weeks
202-.02018 .00904 (202*2π)/3572 weeks
203-.00948 .00153 (203*2π)/3572 weeks
204-.01421 -.00256 (204*2π)/3572 weeks
205-.0127 .00263 (205*2π)/3572 weeks
206-.01033 -.00338 (206*2π)/3572 weeks
207-.01865 .00939 (207*2π)/3572 weeks
208-.02271 -.00361 (208*2π)/3572 weeks
209-.01348 .00292 (209*2π)/3572 weeks
210-.0215 .00408 (210*2π)/3572 weeks
211-.02164 .00383 (211*2π)/3572 weeks
212-.02024 .00901 (212*2π)/3572 weeks
213-.00848 .00832 (213*2π)/3572 weeks
214-.00457 .01012 (214*2π)/3572 weeks
215-.01253 .00329 (215*2π)/3572 weeks
216-.01836 -.00222 (216*2π)/3572 weeks
217-.01231 .00912 (217*2π)/3572 weeks
218-.01938 .01053 (218*2π)/3572 weeks
219-.02385 .00219 (219*2π)/3572 weeks
220-.01025 -.00048 (220*2π)/3572 weeks
221-.01677 .00629 (221*2π)/3572 weeks
222-.02085 .00441 (222*2π)/3572 weeks
223-.02822 .00596 (223*2π)/3572 weeks
224-.01445 .00962 (224*2π)/3572 weeks
225-.01016 .01141 (225*2π)/3572 weeks
226-.01724 .0011 (226*2π)/3572 weeks
227-.02143 .01199 (227*2π)/3572 weeks
228-.01502 .00396 (228*2π)/3572 weeks
229-.01473 .0015 (229*2π)/3572 weeks
230-.02155 .00062 (230*2π)/3572 weeks
231-.00723 .01129 (231*2π)/3572 weeks
232-.00826 .00137 (232*2π)/3572 weeks
233-.022 -.00075 (233*2π)/3572 weeks
234-.01214 .01163 (234*2π)/3572 weeks
235-.00397 .01082 (235*2π)/3572 weeks
236-.01718 .0002 (236*2π)/3572 weeks
237-.02026 .00148 (237*2π)/3572 weeks
238-.0204 .01739 (238*2π)/3572 weeks
239-.01522 .01109 (239*2π)/3571 weeks
240-.02061 .00552 (240*2π)/3571 weeks
241-.0184 .01895 (241*2π)/3571 weeks
242-.00032 .00964 (242*2π)/3571 weeks
243-.00867 .00305 (243*2π)/3571 weeks
244-.02309 .00445 (244*2π)/3571 weeks
245-.0058 .00713 (245*2π)/3571 weeks
246-.00828 .00871 (246*2π)/3571 weeks
247-.01984 .00502 (247*2π)/3571 weeks
248-.01891 .01143 (248*2π)/3571 weeks
249-.0119 .00914 (249*2π)/3571 weeks
250-.01875 .0059 (250*2π)/3571 weeks
251-.01379 .0056 (251*2π)/3571 weeks
252-.00816 .01869 (252*2π)/3571 weeks
253-.00376 .007 (253*2π)/3571 weeks
254-.01946 .00381 (254*2π)/3571 weeks
255-.02268 .02118 (255*2π)/3571 weeks
256-.01804 .01321 (256*2π)/3571 weeks
257-.00873 .01748 (257*2π)/3571 weeks
258-.01422 .01017 (258*2π)/3571 weeks
259-.00908 .01093 (259*2π)/3571 weeks
260-.02176 .00458 (260*2π)/3571 weeks
261-.02114 .013 (261*2π)/3571 weeks
262-.0105 .02299 (262*2π)/3571 weeks
263-.01854 .02158 (263*2π)/3571 weeks
264-.01654 -.00606 (264*2π)/3571 weeks
265-.02484 .01874 (265*2π)/3571 weeks
266-.0179 .00257 (266*2π)/3571 weeks
267-.01303 .01607 (267*2π)/3571 weeks
268-.03083 .01099 (268*2π)/3571 weeks
269-.01434 .00956 (269*2π)/3571 weeks
270-.00279 .02339 (270*2π)/3571 weeks
271-.03201 .00975 (271*2π)/3571 weeks
272-.02298 .01106 (272*2π)/3571 weeks
273-.01332 .0197 (273*2π)/3571 weeks
274-.00788 .01832 (274*2π)/3571 weeks
275-.01714 .02836 (275*2π)/3571 weeks
276-.02164 .00459 (276*2π)/3571 weeks
277-.01556 .00989 (277*2π)/3571 weeks
278-.02095 .01575 (278*2π)/3571 weeks
279-.00781 .01083 (279*2π)/3571 weeks
280-.01553 .02728 (280*2π)/3571 weeks
281-.01395 .00841 (281*2π)/3571 weeks
282-.0068 .01774 (282*2π)/3571 weeks
283-.01636 .01609 (283*2π)/3571 weeks
284-.01981 .02423 (284*2π)/3571 weeks
285-.02336 .04014 (285*2π)/3571 weeks
286-.01156 .01766 (286*2π)/3571 weeks
287.00054 .01947 (287*2π)/3571 weeks
288-.02666 .02268 (288*2π)/3571 weeks
289-.03451 .02653 (289*2π)/3571 weeks
290-.0153 .03203 (290*2π)/3571 weeks
291-.02892 .0196 (291*2π)/3571 weeks
292.0006 .02779 (292*2π)/3571 weeks
293-.00798 .02773 (293*2π)/3571 weeks
294-.00929 .00795 (294*2π)/3571 weeks
295-.01922 .02906 (295*2π)/3571 weeks
296-.01852 .02686 (296*2π)/3571 weeks
297-.0159 .03359 (297*2π)/3571 weeks
298-.02015 .01524 (298*2π)/3571 weeks
299-.02404 .05439 (299*2π)/3571 weeks
300-.01334 .02741 (300*2π)/3571 weeks
301-.0114 .01432 (301*2π)/3571 weeks
302-.02819 .03037 (302*2π)/3571 weeks
303-.00116 .04672 (303*2π)/3571 weeks
304-.01287 .02704 (304*2π)/3571 weeks
305-.01666 .03063 (305*2π)/3571 weeks
306-.00807 .03995 (306*2π)/3571 weeks
307-.01311 .02632 (307*2π)/3571 weeks
308-.02758 .01086 (308*2π)/3571 weeks
309-.03031 .01885 (309*2π)/3571 weeks
310-.0037 .05108 (310*2π)/3571 weeks
311-.00748 .04022 (311*2π)/3571 weeks
312-.00827 .03021 (312*2π)/3571 weeks
313-.00592 .02581 (313*2π)/3571 weeks
314-.00694 .04379 (314*2π)/3571 weeks
315-.04224 .06053 (315*2π)/3571 weeks
316-.0274 .06427 (316*2π)/3571 weeks
317-.01409 .04925 (317*2π)/3571 weeks
318-.01415 .03614 (318*2π)/3571 weeks
319-.02608 .05037 (319*2π)/3571 weeks
320-.01764 .08475 (320*2π)/3571 weeks
321-.03535 .07501 (321*2π)/3571 weeks
322.00829 .06556 (322*2π)/3571 weeks
323-.0185 .05186 (323*2π)/3571 weeks
324-.00217 .04643 (324*2π)/3571 weeks
325-.03375 .04032 (325*2π)/3571 weeks
326-.07992 .04543 (326*2π)/3571 weeks
327-.02683 .04788 (327*2π)/3571 weeks
328-.01275 .07342 (328*2π)/3571 weeks
329-.01495 .07925 (329*2π)/3571 weeks
330-.03051 .07688 (330*2π)/3571 weeks
331-.02044 .04873 (331*2π)/3571 weeks
332-.02946 .06737 (332*2π)/3571 weeks
333-.00599 .08254 (333*2π)/3571 weeks
334.00093 .05544 (334*2π)/3571 weeks
335-.04518 .08463 (335*2π)/3571 weeks
336.00922 .07649 (336*2π)/3571 weeks
337-.00007 .11903 (337*2π)/3571 weeks
338-.05175 .05556 (338*2π)/3571 weeks
339-.01425 .13542 (339*2π)/3571 weeks
340-.0703 .13191 (340*2π)/3571 weeks
341.04834 .12398 (341*2π)/3571 weeks
342-.01843 .14997 (342*2π)/3571 weeks
343-.01926 .10972 (343*2π)/3571 weeks
344.01354 .08346 (344*2π)/3571 weeks
345-.07211 .14267 (345*2π)/3571 weeks
346-.02291 .18069 (346*2π)/3571 weeks
347.107 .25706 (347*2π)/3571 weeks
348.04133 .14093 (348*2π)/3571 weeks
349-.06116 .19349 (349*2π)/3571 weeks
350-.04989 .20136 (350*2π)/3571 weeks
351.00067 .34402 (351*2π)/3571 weeks
352-.13202 .44425 (352*2π)/3571 weeks
353.11121 .45997 (353*2π)/3571 weeks
354.15669 .65389 (354*2π)/3571 weeks
355-.25679 .53827 (355*2π)/3571 weeks