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Fourier Analysis of AWSHX (Washington Mutual Invs Fd Cl A )


AWSHX (Washington Mutual Invs Fd Cl A ) appears to have interesting cyclic behaviour every 148 weeks (1.3*sine), 193 weeks (1.1121*sine), and 161 weeks (.7974*sine).

AWSHX (Washington Mutual Invs Fd Cl A ) has an average price of 12.99 (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 12/5/2016 for AWSHX (Washington Mutual Invs Fd Cl A ), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
012.98656   0 
13.09865 -10.86517 (1*2π)/19271,927 weeks
22.34808 -4.30094 (2*2π)/1927964 weeks
31.30714 -4.43944 (3*2π)/1927642 weeks
41.45737 -3.93046 (4*2π)/1927482 weeks
5-.66909 -3.67236 (5*2π)/1927385 weeks
6-.36585 -1.72871 (6*2π)/1927321 weeks
7.09665 -1.58459 (7*2π)/1927275 weeks
8.16926 -1.85267 (8*2π)/1927241 weeks
9-.32078 -1.59407 (9*2π)/1927214 weeks
10-.4039 -1.11215 (10*2π)/1927193 weeks
11-.02339 -.51196 (11*2π)/1927175 weeks
12.61462 -.79744 (12*2π)/1927161 weeks
13-.02557 -1.3 (13*2π)/1927148 weeks
14-.13507 -.7608 (14*2π)/1927138 weeks
15.06108 -.76683 (15*2π)/1927128 weeks
16.12079 -.64904 (16*2π)/1927120 weeks
17.19844 -.7815 (17*2π)/1927113 weeks
18-.10956 -.91938 (18*2π)/1927107 weeks
19.0122 -.54104 (19*2π)/1927101 weeks
20.09761 -.59183 (20*2π)/192796 weeks
21.14534 -.63321 (21*2π)/192792 weeks
22.05375 -.68406 (22*2π)/192788 weeks
23.03877 -.64553 (23*2π)/192784 weeks
24-.11665 -.55453 (24*2π)/192780 weeks
25.1011 -.39166 (25*2π)/192777 weeks
26.13329 -.6256 (26*2π)/192774 weeks
27.00392 -.59095 (27*2π)/192771 weeks
28-.08527 -.6637 (28*2π)/192769 weeks
29-.20075 -.4123 (29*2π)/192766 weeks
30.03388 -.30957 (30*2π)/192764 weeks
31.07083 -.38733 (31*2π)/192762 weeks
32.02755 -.53422 (32*2π)/192760 weeks
33-.08894 -.45857 (33*2π)/192758 weeks
34-.08107 -.43239 (34*2π)/192757 weeks
35-.02739 -.35087 (35*2π)/192755 weeks
36-.0414 -.40563 (36*2π)/192754 weeks
37-.11486 -.27533 (37*2π)/192752 weeks
38.00872 -.31977 (38*2π)/192751 weeks
39-.02533 -.28151 (39*2π)/192749 weeks
40.07495 -.31641 (40*2π)/192748 weeks
41-.079 -.41165 (41*2π)/192747 weeks
42-.1036 -.26942 (42*2π)/192746 weeks
43-.00622 -.23474 (43*2π)/192745 weeks
44.01543 -.2753 (44*2π)/192744 weeks
45.00683 -.32144 (45*2π)/192743 weeks
46-.03888 -.32541 (46*2π)/192742 weeks
47-.05695 -.22931 (47*2π)/192741 weeks
48.02025 -.29369 (48*2π)/192740 weeks
49-.03858 -.26006 (49*2π)/192739 weeks
50-.03293 -.28652 (50*2π)/192739 weeks
51-.07853 -.1901 (51*2π)/192738 weeks
52.01278 -.2472 (52*2π)/192737 weeks
53.01246 -.25885 (53*2π)/192736 weeks
54-.04869 -.25061 (54*2π)/192736 weeks
55-.02204 -.21332 (55*2π)/192735 weeks
56-.07609 -.28326 (56*2π)/192734 weeks
57-.08617 -.1273 (57*2π)/192734 weeks
58-.00357 -.182 (58*2π)/192733 weeks
59-.03623 -.15115 (59*2π)/192733 weeks
60.0156 -.1447 (60*2π)/192732 weeks
61.05261 -.19448 (61*2π)/192732 weeks
62-.00112 -.23479 (62*2π)/192731 weeks
63.01375 -.22551 (63*2π)/192731 weeks
64-.06712 -.19355 (64*2π)/192730 weeks
65-.00285 -.12582 (65*2π)/192730 weeks
66.00727 -.20918 (66*2π)/192729 weeks
67-.00984 -.17441 (67*2π)/192729 weeks
68.00594 -.15224 (68*2π)/192728 weeks
69.017 -.16239 (69*2π)/192728 weeks
70-.01214 -.20141 (70*2π)/192728 weeks
71.01101 -.14139 (71*2π)/192727 weeks
72.03002 -.21727 (72*2π)/192727 weeks
73-.00494 -.14707 (73*2π)/192726 weeks
74.05136 -.21179 (74*2π)/192726 weeks
75-.06763 -.2024 (75*2π)/192726 weeks
76.01806 -.1642 (76*2π)/192725 weeks
77-.00191 -.20359 (77*2π)/192725 weeks
78.01899 -.1978 (78*2π)/192725 weeks
79-.04808 -.20537 (79*2π)/192724 weeks
80-.03717 -.17986 (80*2π)/192724 weeks
81-.04276 -.18107 (81*2π)/192724 weeks
82-.04252 -.17237 (82*2π)/192724 weeks
83-.07937 -.13374 (83*2π)/192723 weeks
84-.01828 -.11478 (84*2π)/192723 weeks
85-.03113 -.1712 (85*2π)/192723 weeks
86-.03788 -.13862 (86*2π)/192722 weeks
87-.03822 -.14069 (87*2π)/192722 weeks
88-.02579 -.10691 (88*2π)/192722 weeks
89-.00165 -.14973 (89*2π)/192722 weeks
90-.06474 -.15765 (90*2π)/192721 weeks
91-.06661 -.12754 (91*2π)/192721 weeks
92-.06463 -.05783 (92*2π)/192721 weeks
93.03153 -.04876 (93*2π)/192721 weeks
94.02307 -.13803 (94*2π)/192721 weeks
95.00244 -.12605 (95*2π)/192720 weeks
96-.02285 -.11495 (96*2π)/192720 weeks
97-.01042 -.07908 (97*2π)/192720 weeks
98.03305 -.1106 (98*2π)/192720 weeks
99-.0289 -.13971 (99*2π)/192719 weeks
100.00902 -.06781 (100*2π)/192719 weeks
101.02359 -.12456 (101*2π)/192719 weeks
102.02501 -.08428 (102*2π)/192719 weeks
103.03652 -.14657 (103*2π)/192719 weeks
104.00259 -.1335 (104*2π)/192719 weeks
105-.02034 -.14142 (105*2π)/192718 weeks
106.02919 -.06706 (106*2π)/192718 weeks
107.04562 -.15879 (107*2π)/192718 weeks
108.02655 -.14288 (108*2π)/192718 weeks
109-.01696 -.18056 (109*2π)/192718 weeks
110-.02626 -.10148 (110*2π)/192718 weeks
111.03785 -.1264 (111*2π)/192717 weeks
112.01334 -.18879 (112*2π)/192717 weeks
113-.0397 -.17881 (113*2π)/192717 weeks
114-.06282 -.12519 (114*2π)/192717 weeks
115-.0198 -.07562 (115*2π)/192717 weeks
116.03295 -.13047 (116*2π)/192717 weeks
117-.01926 -.18449 (117*2π)/192716 weeks
118-.07067 -.15019 (118*2π)/192716 weeks
119-.06512 -.08615 (119*2π)/192716 weeks
120-.00834 -.06151 (120*2π)/192716 weeks
121.0144 -.12401 (121*2π)/192716 weeks
122-.03317 -.14738 (122*2π)/192716 weeks
123-.04289 -.1067 (123*2π)/192716 weeks
124-.03539 -.08992 (124*2π)/192716 weeks
125-.01902 -.11056 (125*2π)/192715 weeks
126-.02273 -.1084 (126*2π)/192715 weeks
127-.0461 -.09723 (127*2π)/192715 weeks
128-.02889 -.07767 (128*2π)/192715 weeks
129-.01005 -.09186 (129*2π)/192715 weeks
130-.00731 -.0824 (130*2π)/192715 weeks
131-.01307 -.10006 (131*2π)/192715 weeks
132-.00742 -.08213 (132*2π)/192715 weeks
133-.0155 -.11751 (133*2π)/192714 weeks
134-.00861 -.08656 (134*2π)/192714 weeks
135-.00661 -.11549 (135*2π)/192714 weeks
136-.03543 -.09773 (136*2π)/192714 weeks
137-.01575 -.09581 (137*2π)/192714 weeks
138-.00561 -.10469 (138*2π)/192714 weeks
139-.03472 -.10154 (139*2π)/192714 weeks
140-.02472 -.08881 (140*2π)/192714 weeks
141-.04753 -.08227 (141*2π)/192714 weeks
142.00951 -.05478 (142*2π)/192714 weeks
143-.00009 -.10835 (143*2π)/192713 weeks
144.01116 -.08543 (144*2π)/192713 weeks
145-.00651 -.13628 (145*2π)/192713 weeks
146-.05646 -.10199 (146*2π)/192713 weeks
147-.02324 -.07584 (147*2π)/192713 weeks
148-.02209 -.10102 (148*2π)/192713 weeks
149-.018 -.07226 (149*2π)/192713 weeks
150-.00051 -.08863 (150*2π)/192713 weeks
151-.0176 -.10204 (151*2π)/192713 weeks
152-.02996 -.10257 (152*2π)/192713 weeks
153-.03754 -.0938 (153*2π)/192713 weeks
154-.04477 -.07501 (154*2π)/192713 weeks
155-.03631 -.07301 (155*2π)/192712 weeks
156-.01523 -.04692 (156*2π)/192712 weeks
157.01042 -.08051 (157*2π)/192712 weeks
158-.0322 -.08846 (158*2π)/192712 weeks
159-.01463 -.06039 (159*2π)/192712 weeks
160.00808 -.06724 (160*2π)/192712 weeks
161-.0063 -.09495 (161*2π)/192712 weeks
162-.01595 -.07848 (162*2π)/192712 weeks
163-.00351 -.06308 (163*2π)/192712 weeks
164.00849 -.09198 (164*2π)/192712 weeks
165.00268 -.0996 (165*2π)/192712 weeks
166-.00676 -.13214 (166*2π)/192712 weeks
167-.04631 -.09899 (167*2π)/192712 weeks
168-.02239 -.08799 (168*2π)/192711 weeks
169-.04012 -.1045 (169*2π)/192711 weeks
170-.04965 -.07428 (170*2π)/192711 weeks
171-.04348 -.08265 (171*2π)/192711 weeks
172-.03808 -.05163 (172*2π)/192711 weeks
173-.01317 -.07748 (173*2π)/192711 weeks
174-.04773 -.0676 (174*2π)/192711 weeks
175-.01353 -.04616 (175*2π)/192711 weeks
176-.01999 -.07428 (176*2π)/192711 weeks
177-.00963 -.05566 (177*2π)/192711 weeks
178-.00434 -.08352 (178*2π)/192711 weeks
179-.03179 -.07736 (179*2π)/192711 weeks
180-.02996 -.05138 (180*2π)/192711 weeks
181-.00621 -.07934 (181*2π)/192711 weeks
182-.04424 -.06231 (182*2π)/192711 weeks
183-.00045 -.03689 (183*2π)/192711 weeks
184.00075 -.07447 (184*2π)/192710 weeks
185-.01196 -.06667 (185*2π)/192710 weeks
186-.01207 -.07401 (186*2π)/192710 weeks
187-.0316 -.06768 (187*2π)/192710 weeks
188.00276 -.06055 (188*2π)/192710 weeks
189-.02409 -.09198 (189*2π)/192710 weeks
190-.02592 -.04319 (190*2π)/192710 weeks
191-.00937 -.06531 (191*2π)/192710 weeks
192-.00373 -.05737 (192*2π)/192710 weeks
193-.00242 -.08457 (193*2π)/192710 weeks
194-.02672 -.06567 (194*2π)/192710 weeks
195-.0154 -.05592 (195*2π)/192710 weeks
196.00631 -.04803 (196*2π)/192710 weeks
197.01788 -.09405 (197*2π)/192710 weeks
198-.02082 -.09022 (198*2π)/192710 weeks
199-.01941 -.09647 (199*2π)/192710 weeks
200-.03205 -.07448 (200*2π)/192710 weeks
201-.01734 -.0628 (201*2π)/192710 weeks
202-.02572 -.09562 (202*2π)/192710 weeks
203-.04003 -.06414 (203*2π)/19279 weeks
204-.02661 -.07097 (204*2π)/19279 weeks
205-.0356 -.05566 (205*2π)/19279 weeks
206-.01751 -.06422 (206*2π)/19279 weeks
207-.02408 -.05073 (207*2π)/19279 weeks
208-.02492 -.07003 (208*2π)/19279 weeks
209-.02348 -.03972 (209*2π)/19279 weeks
210.01211 -.06023 (210*2π)/19279 weeks
211-.02203 -.07182 (211*2π)/19279 weeks
212-.01258 -.06908 (212*2π)/19279 weeks
213-.03422 -.06502 (213*2π)/19279 weeks
214-.01473 -.04797 (214*2π)/19279 weeks
215-.01901 -.06542 (215*2π)/19279 weeks
216-.00636 -.04793 (216*2π)/19279 weeks
217-.00024 -.08657 (217*2π)/19279 weeks
218-.03044 -.08415 (218*2π)/19279 weeks
219-.03421 -.07063 (219*2π)/19279 weeks
220-.03321 -.05798 (220*2π)/19279 weeks
221-.03377 -.05795 (221*2π)/19279 weeks
222-.02914 -.04824 (222*2π)/19279 weeks
223-.0189 -.06039 (223*2π)/19279 weeks
224-.03168 -.03267 (224*2π)/19279 weeks
225.01165 -.0489 (225*2π)/19279 weeks
226-.02449 -.06605 (226*2π)/19279 weeks
227-.00244 -.0637 (227*2π)/19278 weeks
228-.02416 -.06233 (228*2π)/19278 weeks
229-.00262 -.05026 (229*2π)/19278 weeks
230-.00133 -.07374 (230*2π)/19278 weeks
231-.01516 -.08974 (231*2π)/19278 weeks
232-.03562 -.07774 (232*2π)/19278 weeks
233-.03131 -.07339 (233*2π)/19278 weeks
234-.04391 -.06963 (234*2π)/19278 weeks
235-.04433 -.05258 (235*2π)/19278 weeks
236-.03932 -.03893 (236*2π)/19278 weeks
237-.0157 -.03847 (237*2π)/19278 weeks
238-.02067 -.05391 (238*2π)/19278 weeks
239-.0063 -.05525 (239*2π)/19278 weeks
240-.0277 -.0662 (240*2π)/19278 weeks
241-.02752 -.05954 (241*2π)/19278 weeks
242-.04492 -.05616 (242*2π)/19278 weeks
243-.02313 -.04072 (243*2π)/19278 weeks
244-.03586 -.04862 (244*2π)/19278 weeks
245-.01083 -.03181 (245*2π)/19278 weeks
246-.00365 -.05648 (246*2π)/19278 weeks
247-.01013 -.05817 (247*2π)/19278 weeks
248-.025 -.06973 (248*2π)/19278 weeks
249-.03831 -.03883 (249*2π)/19278 weeks
250.00632 -.03112 (250*2π)/19278 weeks
251-.00707 -.08657 (251*2π)/19278 weeks
252-.03371 -.06762 (252*2π)/19278 weeks
253-.03106 -.05494 (253*2π)/19278 weeks
254-.03073 -.05086 (254*2π)/19278 weeks
255-.02192 -.05515 (255*2π)/19278 weeks
256-.03093 -.06303 (256*2π)/19278 weeks
257-.04686 -.04382 (257*2π)/19277 weeks
258-.03603 -.03047 (258*2π)/19277 weeks
259-.01352 -.02744 (259*2π)/19277 weeks
260-.00332 -.05143 (260*2π)/19277 weeks
261-.03145 -.06186 (261*2π)/19277 weeks
262-.02501 -.03831 (262*2π)/19277 weeks
263-.0172 -.03611 (263*2π)/19277 weeks
264-.01961 -.04204 (264*2π)/19277 weeks
265-.00512 -.03706 (265*2π)/19277 weeks
266.00239 -.06966 (266*2π)/19277 weeks
267-.02555 -.06239 (267*2π)/19277 weeks
268-.02155 -.05725 (268*2π)/19277 weeks
269-.03998 -.05892 (269*2π)/19277 weeks
270-.04257 -.04344 (270*2π)/19277 weeks
271-.0264 -.03814 (271*2π)/19277 weeks
272-.02067 -.03462 (272*2π)/19277 weeks
273-.00024 -.04391 (273*2π)/19277 weeks
274-.01871 -.06472 (274*2π)/19277 weeks
275-.04035 -.06239 (275*2π)/19277 weeks
276-.04238 -.04111 (276*2π)/19277 weeks
277-.02625 -.02213 (277*2π)/19277 weeks
278-.00221 -.03289 (278*2π)/19277 weeks
279-.01719 -.06209 (279*2π)/19277 weeks
280-.03014 -.04627 (280*2π)/19277 weeks
281-.02425 -.04072 (281*2π)/19277 weeks
282-.01366 -.03717 (282*2π)/19277 weeks
283-.01883 -.04981 (283*2π)/19277 weeks
284-.02435 -.04793 (284*2π)/19277 weeks
285-.02844 -.03855 (285*2π)/19277 weeks
286-.0144 -.03594 (286*2π)/19277 weeks
287-.00389 -.05061 (287*2π)/19277 weeks
288-.02203 -.05717 (288*2π)/19277 weeks
289-.01998 -.05568 (289*2π)/19277 weeks
290-.0334 -.05193 (290*2π)/19277 weeks
291-.0287 -.04025 (291*2π)/19277 weeks
292-.0198 -.04178 (292*2π)/19277 weeks
293-.03457 -.05002 (293*2π)/19277 weeks
294-.0224 -.03198 (294*2π)/19277 weeks
295-.01859 -.04363 (295*2π)/19277 weeks
296-.01322 -.03942 (296*2π)/19277 weeks
297-.01803 -.0609 (297*2π)/19276 weeks
298-.046 -.04823 (298*2π)/19276 weeks
299-.03797 -.02527 (299*2π)/19276 weeks
300-.0141 -.02828 (300*2π)/19276 weeks
301-.00856 -.03947 (301*2π)/19276 weeks
302-.01519 -.05445 (302*2π)/19276 weeks
303-.03259 -.04255 (303*2π)/19276 weeks
304-.02349 -.03866 (304*2π)/19276 weeks
305-.00572 -.04524 (305*2π)/19276 weeks
306-.02055 -.06179 (306*2π)/19276 weeks
307-.03741 -.05438 (307*2π)/19276 weeks
308-.04798 -.03508 (308*2π)/19276 weeks
309-.0206 -.0328 (309*2π)/19276 weeks
310-.02642 -.05191 (310*2π)/19276 weeks
311-.0365 -.03805 (311*2π)/19276 weeks
312-.03379 -.03533 (312*2π)/19276 weeks
313-.03723 -.03658 (313*2π)/19276 weeks
314-.01956 -.02613 (314*2π)/19276 weeks
315-.02721 -.04734 (315*2π)/19276 weeks
316-.03735 -.0282 (316*2π)/19276 weeks
317-.03106 -.0317 (317*2π)/19276 weeks
318-.02636 -.02086 (318*2π)/19276 weeks
319-.02079 -.03337 (319*2π)/19276 weeks
320-.02038 -.02868 (320*2π)/19276 weeks
321-.0181 -.03574 (321*2π)/19276 weeks
322-.02677 -.03612 (322*2π)/19276 weeks
323-.02264 -.02519 (323*2π)/19276 weeks
324-.01351 -.0328 (324*2π)/19276 weeks
325-.02378 -.04032 (325*2π)/19276 weeks
326-.02263 -.03305 (326*2π)/19276 weeks
327-.03387 -.04065 (327*2π)/19276 weeks
328-.02503 -.01967 (328*2π)/19276 weeks
329-.01296 -.03209 (329*2π)/19276 weeks
330-.01574 -.03537 (330*2π)/19276 weeks
331-.01892 -.04096 (331*2π)/19276 weeks
332-.03699 -.04061 (332*2π)/19276 weeks
333-.024 -.02484 (333*2π)/19276 weeks
334-.02946 -.0309 (334*2π)/19276 weeks
335-.02589 -.01466 (335*2π)/19276 weeks
336-.01635 -.02586 (336*2π)/19276 weeks
337-.01164 -.02389 (337*2π)/19276 weeks
338-.01959 -.04007 (338*2π)/19276 weeks
339-.0214 -.01893 (339*2π)/19276 weeks
340-.00694 -.02778 (340*2π)/19276 weeks
341-.01362 -.03259 (341*2π)/19276 weeks
342-.01234 -.03794 (342*2π)/19276 weeks
343-.02473 -.03872 (343*2π)/19276 weeks
344-.01919 -.01346 (344*2π)/19276 weeks
345.00507 -.03795 (345*2π)/19276 weeks
346-.02425 -.04609 (346*2π)/19276 weeks
347-.0167 -.03022 (347*2π)/19276 weeks
348-.0212 -.03488 (348*2π)/19276 weeks
349-.01161 -.02354 (349*2π)/19276 weeks
350-.00339 -.03992 (350*2π)/19276 weeks
351-.01971 -.04804 (351*2π)/19275 weeks
352-.01569 -.03284 (352*2π)/19275 weeks
353-.01119 -.04672 (353*2π)/19275 weeks
354-.02528 -.03356 (354*2π)/19275 weeks
355-.01233 -.04588 (355*2π)/19275 weeks
356-.03268 -.05629 (356*2π)/19275 weeks
357-.03234 -.02597 (357*2π)/19275 weeks
358-.01542 -.03827 (358*2π)/19275 weeks
359-.03434 -.03517 (359*2π)/19275 weeks
360-.01521 -.02891 (360*2π)/19275 weeks
361-.02922 -.05312 (361*2π)/19275 weeks
362-.03741 -.01605 (362*2π)/19275 weeks
363-.00566 -.02681 (363*2π)/19275 weeks
364-.01913 -.0348 (364*2π)/19275 weeks
365-.01629 -.04793 (365*2π)/19275 weeks
366-.03818 -.03835 (366*2π)/19275 weeks
367-.01952 -.02361 (367*2π)/19275 weeks
368-.0139 -.03451 (368*2π)/19275 weeks
369-.02326 -.05697 (369*2π)/19275 weeks
370-.05195 -.03918 (370*2π)/19275 weeks