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Fourier Analysis of PYSCX (Putnam Equity Spectrum Fund C Shar)


PYSCX (Putnam Equity Spectrum Fund C Shar) appears to have interesting cyclic behaviour every 40 weeks (.8448*sine), 31 weeks (.6801*sine), and 36 weeks (.4694*sine).

PYSCX (Putnam Equity Spectrum Fund C Shar) has an average price of 28.73 (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 1/4/2010 to 9/5/2017 for PYSCX (Putnam Equity Spectrum Fund C Shar), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
028.72626   0 
1-3.68469 -8.17716 (1*2π)/401401 weeks
21.45478 -.8758 (2*2π)/401201 weeks
3.59866 -3.22167 (3*2π)/401134 weeks
4.30226 -2.47651 (4*2π)/401100 weeks
5-.51487 -2.05385 (5*2π)/40180 weeks
6.25913 -1.17647 (6*2π)/40167 weeks
7.15025 -1.04164 (7*2π)/40157 weeks
8-.33145 -.50963 (8*2π)/40150 weeks
9-.50413 -.82729 (9*2π)/40145 weeks
10-.22249 -.84484 (10*2π)/40140 weeks
11-.00308 -.46941 (11*2π)/40136 weeks
12-.1465 -.2593 (12*2π)/40133 weeks
13-.24138 -.68013 (13*2π)/40131 weeks
14-.1385 -.59581 (14*2π)/40129 weeks
15-.17563 -.48412 (15*2π)/40127 weeks
16-.17937 -.34498 (16*2π)/40125 weeks
17.12504 -.52645 (17*2π)/40124 weeks
18-.17561 -.48418 (18*2π)/40122 weeks
19-.31719 -.37934 (19*2π)/40121 weeks
20-.11259 -.41172 (20*2π)/40120 weeks
21.01909 -.20799 (21*2π)/40119 weeks
22.0297 -.33058 (22*2π)/40118 weeks
23-.23927 -.31825 (23*2π)/40117 weeks
24-.21171 -.24517 (24*2π)/40117 weeks
25.04024 -.3013 (25*2π)/40116 weeks
26.03192 -.23043 (26*2π)/40115 weeks
27-.12409 -.25537 (27*2π)/40115 weeks
28-.0752 -.21004 (28*2π)/40114 weeks
29-.14354 -.29685 (29*2π)/40114 weeks
30.04438 -.11002 (30*2π)/40113 weeks
31.05594 -.17636 (31*2π)/40113 weeks
32-.20751 -.07485 (32*2π)/40113 weeks
33.0363 -.15939 (33*2π)/40112 weeks
34-.10103 -.27861 (34*2π)/40112 weeks
35-.02916 -.04746 (35*2π)/40111 weeks
36.09022 -.219 (36*2π)/40111 weeks
37-.08809 -.16046 (37*2π)/40111 weeks
38-.12343 -.13409 (38*2π)/40111 weeks
39-.03689 -.20441 (39*2π)/40110 weeks
40.0033 -.12419 (40*2π)/40110 weeks
41.11615 -.19515 (41*2π)/40110 weeks
42-.13684 -.16369 (42*2π)/40110 weeks
43-.09647 -.16221 (43*2π)/4019 weeks
44-.09171 -.14187 (44*2π)/4019 weeks
45-.06032 -.15915 (45*2π)/4019 weeks
46.01387 -.1343 (46*2π)/4019 weeks
47-.08043 -.06375 (47*2π)/4019 weeks
48.02216 -.02128 (48*2π)/4018 weeks
49-.05852 -.18437 (49*2π)/4018 weeks
50.05985 -.17042 (50*2π)/4018 weeks
51.03745 -.20617 (51*2π)/4018 weeks
52-.05561 -.15995 (52*2π)/4018 weeks
53-.09474 -.04663 (53*2π)/4018 weeks
54.03921 -.11628 (54*2π)/4017 weeks
55.07614 -.20747 (55*2π)/4017 weeks
56.05108 -.04982 (56*2π)/4017 weeks
57-.01897 -.10317 (57*2π)/4017 weeks
58-.09279 -.09366 (58*2π)/4017 weeks
59-.06722 -.14477 (59*2π)/4017 weeks
60.01604 -.07528 (60*2π)/4017 weeks
61-.03121 -.10952 (61*2π)/4017 weeks
62-.10207 -.1623 (62*2π)/4016 weeks
63-.10833 -.10458 (63*2π)/4016 weeks
64-.10677 -.01905 (64*2π)/4016 weeks
65-.01568 -.06752 (65*2π)/4016 weeks
66-.02645 -.10735 (66*2π)/4016 weeks
67-.0333 -.144 (67*2π)/4016 weeks
68-.06357 -.15224 (68*2π)/4016 weeks
69-.04645 -.12892 (69*2π)/4016 weeks
70-.06164 -.03248 (70*2π)/4016 weeks
71-.04719 -.08684 (71*2π)/4016 weeks
72-.02857 -.08675 (72*2π)/4016 weeks
73-.05091 -.14048 (73*2π)/4015 weeks
74-.09633 -.08326 (74*2π)/4015 weeks
75-.07553 -.0675 (75*2π)/4015 weeks
76-.09918 -.08872 (76*2π)/4015 weeks
77.02981 -.05995 (77*2π)/4015 weeks
78-.12082 -.1019 (78*2π)/4015 weeks
79-.11192 -.06612 (79*2π)/4015 weeks
80-.03737 -.04031 (80*2π)/4015 weeks
81-.0583 -.12061 (81*2π)/4015 weeks
82-.06455 -.06888 (82*2π)/4015 weeks
83-.00941 -.07757 (83*2π)/4015 weeks
84-.01948 -.0383 (84*2π)/4015 weeks
85-.01858 -.08409 (85*2π)/4015 weeks
86-.0662 -.10642 (86*2π)/4015 weeks
87-.12025 -.0715 (87*2π)/4015 weeks
88-.05848 -.01549 (88*2π)/4015 weeks
89-.04957 -.08397 (89*2π)/4015 weeks
90-.05432 -.01082 (90*2π)/4014 weeks
91-.06623 -.09469 (91*2π)/4014 weeks
92-.09617 -.03603 (92*2π)/4014 weeks
93-.02144 -.02273 (93*2π)/4014 weeks
94-.06158 -.08855 (94*2π)/4014 weeks
95-.04095 -.01988 (95*2π)/4014 weeks
96-.04873 -.1063 (96*2π)/4014 weeks
97-.15439 -.04711 (97*2π)/4014 weeks
98-.1101 .02833 (98*2π)/4014 weeks
99-.01722 -.06442 (99*2π)/4014 weeks
100-.04684 -.05637 (100*2π)/4014 weeks
101-.06033 .01719 (101*2π)/4014 weeks
102-.03788 -.0026 (102*2π)/4014 weeks
103-.0024 -.06955 (103*2π)/4014 weeks
104.0082 -.0709 (104*2π)/4014 weeks
105-.04078 -.10966 (105*2π)/4014 weeks
106-.08735 -.01848 (106*2π)/4014 weeks
107-.02828 -.01941 (107*2π)/4014 weeks
108-.06667 -.07905 (108*2π)/4014 weeks
109-.04965 -.01773 (109*2π)/4014 weeks
110-.06841 -.00641 (110*2π)/4014 weeks
111-.06745 -.0291 (111*2π)/4014 weeks
112-.04048 -.05564 (112*2π)/4014 weeks
113-.06196 -.05247 (113*2π)/4014 weeks
114-.08507 -.03162 (114*2π)/4014 weeks
115-.07107 -.00182 (115*2π)/4013 weeks
116-.08709 -.05491 (116*2π)/4013 weeks
117-.05181 -.0597 (117*2π)/4013 weeks
118-.08523 -.04893 (118*2π)/4013 weeks
119-.07492 -.00521 (119*2π)/4013 weeks
120-.01392 -.0464 (120*2π)/4013 weeks
121-.04546 -.03128 (121*2π)/4013 weeks
122-.04895 -.02772 (122*2π)/4013 weeks
123-.04489 -.03776 (123*2π)/4013 weeks
124-.06096 -.02797 (124*2π)/4013 weeks
125-.05724 -.03896 (125*2π)/4013 weeks
126-.05193 .00471 (126*2π)/4013 weeks
127-.03239 -.01394 (127*2π)/4013 weeks
128-.0314 -.06789 (128*2π)/4013 weeks
129-.06277 -.07361 (129*2π)/4013 weeks
130-.06042 -.01292 (130*2π)/4013 weeks
131-.05994 -.01421 (131*2π)/4013 weeks
132-.03643 -.03813 (132*2π)/4013 weeks
133-.06612 -.06656 (133*2π)/4013 weeks
134-.06792 .00581 (134*2π)/4013 weeks
135-.04602 -.01184 (135*2π)/4013 weeks
136-.0283 -.01742 (136*2π)/4013 weeks
137-.0501 -.00259 (137*2π)/4013 weeks
138-.02051 .00463 (138*2π)/4013 weeks
139-.03061 -.03025 (139*2π)/4013 weeks
140-.03987 -.05033 (140*2π)/4013 weeks
141-.06452 -.02011 (141*2π)/4013 weeks
142-.02031 .03295 (142*2π)/4013 weeks
143-.08861 -.056 (143*2π)/4013 weeks
144-.04415 -.03877 (144*2π)/4013 weeks
145-.05787 -.02309 (145*2π)/4013 weeks
146-.03431 .00472 (146*2π)/4013 weeks
147-.10354 -.00581 (147*2π)/4013 weeks
148-.03926 -.05215 (148*2π)/4013 weeks
149-.03822 -.07508 (149*2π)/4013 weeks
150-.06501 -.01349 (150*2π)/4013 weeks
151-.04056 -.0202 (151*2π)/4013 weeks
152-.0725 -.03599 (152*2π)/4013 weeks
153-.07232 -.02291 (153*2π)/4013 weeks
154-.01583 -.01496 (154*2π)/4013 weeks
155-.0523 -.02605 (155*2π)/4013 weeks
156-.08454 .00872 (156*2π)/4013 weeks
157-.03753 -.0106 (157*2π)/4013 weeks
158-.04879 -.00944 (158*2π)/4013 weeks
159-.05192 -.00727 (159*2π)/4013 weeks
160-.05463 .00478 (160*2π)/4013 weeks
161-.03661 .01638 (161*2π)/4012 weeks
162-.04395 .01292 (162*2π)/4012 weeks
163-.06069 -.00925 (163*2π)/4012 weeks
164-.04418 -.01743 (164*2π)/4012 weeks
165-.03624 -.0211 (165*2π)/4012 weeks
166-.04953 -.01104 (166*2π)/4012 weeks
167-.08557 -.03434 (167*2π)/4012 weeks
168-.07263 .00346 (168*2π)/4012 weeks
169-.04367 -.00734 (169*2π)/4012 weeks
170-.05307 .00725 (170*2π)/4012 weeks
171-.05381 -.00262 (171*2π)/4012 weeks
172-.04646 -.01986 (172*2π)/4012 weeks
173-.04563 -.01877 (173*2π)/4012 weeks
174-.01739 -.07314 (174*2π)/4012 weeks
175-.0859 .01224 (175*2π)/4012 weeks
176-.08684 .00163 (176*2π)/4012 weeks
177-.02917 -.01225 (177*2π)/4012 weeks
178-.0312 -.00262 (178*2π)/4012 weeks
179-.04539 .02183 (179*2π)/4012 weeks
180-.02779 .01565 (180*2π)/4012 weeks
181-.06026 -.0492 (181*2π)/4012 weeks
182-.04144 .01706 (182*2π)/4012 weeks
183-.03453 -.0326 (183*2π)/4012 weeks
184-.06975 -.00363 (184*2π)/4012 weeks
185-.00602 .00786 (185*2π)/4012 weeks
186-.07422 -.02783 (186*2π)/4012 weeks
187-.03302 -.00725 (187*2π)/4012 weeks
188-.05208 .01254 (188*2π)/4012 weeks
189-.0638 .02616 (189*2π)/4012 weeks
190-.06334 -.00749 (190*2π)/4012 weeks
191-.03705 .02527 (191*2π)/4012 weeks
192-.05702 -.03089 (192*2π)/4012 weeks
193-.0875 -.03324 (193*2π)/4012 weeks
194-.06724 .01993 (194*2π)/4012 weeks
195-.06306 -.01833 (195*2π)/4012 weeks
196-.06737 -.01628 (196*2π)/4012 weeks
197-.05676 .00891 (197*2π)/4012 weeks
198-.001 .04136 (198*2π)/4012 weeks
199-.03432 -.01288 (199*2π)/4012 weeks
200-.0093 .00065 (200*2π)/4012 weeks
201-.0093 -.00065 (201*2π)/4012 weeks
202-.03432 .01288 (202*2π)/4012 weeks
203-.001 -.04136 (203*2π)/4012 weeks
204-.05676 -.00891 (204*2π)/4012 weeks
205-.06737 .01628 (205*2π)/4012 weeks
206-.06306 .01833 (206*2π)/4012 weeks
207-.06724 -.01993 (207*2π)/4012 weeks
208-.0875 .03324 (208*2π)/4012 weeks
209-.05702 .03089 (209*2π)/4012 weeks
210-.03705 -.02527 (210*2π)/4012 weeks
211-.06334 .00749 (211*2π)/4012 weeks
212-.0638 -.02616 (212*2π)/4012 weeks
213-.05208 -.01254 (213*2π)/4012 weeks
214-.03302 .00725 (214*2π)/4012 weeks
215-.07422 .02783 (215*2π)/4012 weeks
216-.00602 -.00786 (216*2π)/4012 weeks
217-.06975 .00363 (217*2π)/4012 weeks
218-.03453 .0326 (218*2π)/4012 weeks
219-.04144 -.01706 (219*2π)/4012 weeks
220-.06026 .0492 (220*2π)/4012 weeks
221-.02779 -.01565 (221*2π)/4012 weeks
222-.04539 -.02183 (222*2π)/4012 weeks
223-.0312 .00262 (223*2π)/4012 weeks
224-.02917 .01225 (224*2π)/4012 weeks
225-.08684 -.00163 (225*2π)/4012 weeks
226-.0859 -.01224 (226*2π)/4012 weeks
227-.01739 .07314 (227*2π)/4012 weeks
228-.04563 .01877 (228*2π)/4012 weeks
229-.04646 .01986 (229*2π)/4012 weeks
230-.05381 .00262 (230*2π)/4012 weeks
231-.05307 -.00725 (231*2π)/4012 weeks
232-.04367 .00734 (232*2π)/4012 weeks
233-.07263 -.00346 (233*2π)/4012 weeks
234-.08557 .03434 (234*2π)/4012 weeks
235-.04953 .01104 (235*2π)/4012 weeks
236-.03624 .0211 (236*2π)/4012 weeks
237-.04418 .01743 (237*2π)/4012 weeks
238-.06069 .00925 (238*2π)/4012 weeks
239-.04395 -.01292 (239*2π)/4012 weeks
240-.03661 -.01638 (240*2π)/4012 weeks
241-.05463 -.00478 (241*2π)/4012 weeks
242-.05192 .00727 (242*2π)/4012 weeks
243-.04879 .00944 (243*2π)/4012 weeks
244-.03753 .0106 (244*2π)/4012 weeks
245-.08454 -.00872 (245*2π)/4012 weeks
246-.0523 .02605 (246*2π)/4012 weeks
247-.01583 .01496 (247*2π)/4012 weeks
248-.07232 .02291 (248*2π)/4012 weeks
249-.0725 .03599 (249*2π)/4012 weeks
250-.04056 .0202 (250*2π)/4012 weeks
251-.06501 .01349 (251*2π)/4012 weeks
252-.03822 .07508 (252*2π)/4012 weeks
253-.03926 .05215 (253*2π)/4012 weeks
254-.10354 .00581 (254*2π)/4012 weeks
255-.03431 -.00472 (255*2π)/4012 weeks
256-.05787 .02309 (256*2π)/4012 weeks
257-.04415 .03877 (257*2π)/4012 weeks
258-.08861 .056 (258*2π)/4012 weeks
259-.02031 -.03295 (259*2π)/4012 weeks
260-.06452 .02011 (260*2π)/4012 weeks
261-.03987 .05033 (261*2π)/4012 weeks
262-.03061 .03025 (262*2π)/4012 weeks
263-.02051 -.00463 (263*2π)/4012 weeks
264-.0501 .00259 (264*2π)/4012 weeks
265-.0283 .01742 (265*2π)/4012 weeks
266-.04602 .01184 (266*2π)/4012 weeks
267-.06792 -.00581 (267*2π)/4012 weeks
268-.06612 .06656 (268*2π)/4011 weeks
269-.03643 .03813 (269*2π)/4011 weeks
270-.05994 .01421 (270*2π)/4011 weeks
271-.06042 .01292 (271*2π)/4011 weeks
272-.06277 .07361 (272*2π)/4011 weeks
273-.0314 .06789 (273*2π)/4011 weeks
274-.03239 .01394 (274*2π)/4011 weeks
275-.05193 -.00471 (275*2π)/4011 weeks
276-.05724 .03896 (276*2π)/4011 weeks
277-.06096 .02797 (277*2π)/4011 weeks
278-.04489 .03776 (278*2π)/4011 weeks
279-.04895 .02772 (279*2π)/4011 weeks
280-.04546 .03128 (280*2π)/4011 weeks
281-.01392 .0464 (281*2π)/4011 weeks
282-.07492 .00521 (282*2π)/4011 weeks
283-.08523 .04893 (283*2π)/4011 weeks
284-.05181 .0597 (284*2π)/4011 weeks
285-.08709 .05491 (285*2π)/4011 weeks
286-.07107 .00182 (286*2π)/4011 weeks
287-.08507 .03162 (287*2π)/4011 weeks
288-.06196 .05247 (288*2π)/4011 weeks
289-.04048 .05564 (289*2π)/4011 weeks
290-.06745 .0291 (290*2π)/4011 weeks
291-.06841 .00641 (291*2π)/4011 weeks
292-.04965 .01773 (292*2π)/4011 weeks
293-.06667 .07905 (293*2π)/4011 weeks
294-.02828 .01941 (294*2π)/4011 weeks
295-.08735 .01848 (295*2π)/4011 weeks
296-.04078 .10966 (296*2π)/4011 weeks
297.0082 .0709 (297*2π)/4011 weeks
298-.0024 .06955 (298*2π)/4011 weeks
299-.03788 .0026 (299*2π)/4011 weeks
300-.06033 -.01719 (300*2π)/4011 weeks
301-.04684 .05637 (301*2π)/4011 weeks
302-.01722 .06442 (302*2π)/4011 weeks
303-.1101 -.02833 (303*2π)/4011 weeks
304-.15439 .04711 (304*2π)/4011 weeks
305-.04873 .1063 (305*2π)/4011 weeks
306-.04095 .01988 (306*2π)/4011 weeks
307-.06158 .08855 (307*2π)/4011 weeks
308-.02144 .02273 (308*2π)/4011 weeks
309-.09617 .03603 (309*2π)/4011 weeks
310-.06623 .09469 (310*2π)/4011 weeks
311-.05432 .01082 (311*2π)/4011 weeks
312-.04957 .08397 (312*2π)/4011 weeks
313-.05848 .01549 (313*2π)/4011 weeks
314-.12025 .0715 (314*2π)/4011 weeks
315-.0662 .10642 (315*2π)/4011 weeks
316-.01858 .08409 (316*2π)/4011 weeks
317-.01948 .0383 (317*2π)/4011 weeks
318-.00941 .07757 (318*2π)/4011 weeks
319-.06455 .06888 (319*2π)/4011 weeks
320-.0583 .12061 (320*2π)/4011 weeks
321-.03737 .04031 (321*2π)/4011 weeks
322-.11192 .06612 (322*2π)/4011 weeks
323-.12082 .1019 (323*2π)/4011 weeks
324.02981 .05995 (324*2π)/4011 weeks
325-.09918 .08872 (325*2π)/4011 weeks
326-.07553 .0675 (326*2π)/4011 weeks
327-.09633 .08326 (327*2π)/4011 weeks
328-.05091 .14048 (328*2π)/4011 weeks
329-.02857 .08675 (329*2π)/4011 weeks
330-.04719 .08684 (330*2π)/4011 weeks
331-.06164 .03248 (331*2π)/4011 weeks
332-.04645 .12892 (332*2π)/4011 weeks
333-.06357 .15224 (333*2π)/4011 weeks
334-.0333 .144 (334*2π)/4011 weeks
335-.02645 .10735 (335*2π)/4011 weeks
336-.01568 .06752 (336*2π)/4011 weeks
337-.10677 .01905 (337*2π)/4011 weeks
338-.10833 .10458 (338*2π)/4011 weeks
339-.10207 .1623 (339*2π)/4011 weeks
340-.03121 .10952 (340*2π)/4011 weeks
341.01604 .07528 (341*2π)/4011 weeks
342-.06722 .14477 (342*2π)/4011 weeks
343-.09279 .09366 (343*2π)/4011 weeks
344-.01897 .10317 (344*2π)/4011 weeks
345.05108 .04982 (345*2π)/4011 weeks
346.07614 .20747 (346*2π)/4011 weeks
347.03921 .11628 (347*2π)/4011 weeks
348-.09474 .04663 (348*2π)/4011 weeks
349-.05561 .15995 (349*2π)/4011 weeks
350.03745 .20617 (350*2π)/4011 weeks
351.05985 .17042 (351*2π)/4011 weeks
352-.05852 .18437 (352*2π)/4011 weeks
353.02216 .02128 (353*2π)/4011 weeks
354-.08043 .06375 (354*2π)/4011 weeks
355.01387 .1343 (355*2π)/4011 weeks
356-.06032 .15915 (356*2π)/4011 weeks
357-.09171 .14187 (357*2π)/4011 weeks
358-.09647 .16221 (358*2π)/4011 weeks
359-.13684 .16369 (359*2π)/4011 weeks
360.11615 .19515 (360*2π)/4011 weeks
361.0033 .12419 (361*2π)/4011 weeks
362-.03689 .20441 (362*2π)/4011 weeks
363-.12343 .13409 (363*2π)/4011 weeks
364-.08809 .16046 (364*2π)/4011 weeks
365.09022 .219 (365*2π)/4011 weeks
366-.02916 .04746 (366*2π)/4011 weeks
367-.10103 .27861 (367*2π)/4011 weeks
368.0363 .15939 (368*2π)/4011 weeks
369-.20751 .07485 (369*2π)/4011 weeks
370.05594 .17636 (370*2π)/4011 weeks
371.04438 .11002 (371*2π)/4011 weeks
372-.14354 .29685 (372*2π)/4011 weeks
373-.0752 .21004 (373*2π)/4011 weeks
374-.12409 .25537 (374*2π)/4011 weeks
375.03192 .23043 (375*2π)/4011 weeks
376.04024 .3013 (376*2π)/4011 weeks
377-.21171 .24517 (377*2π)/4011 weeks
378-.23927 .31825 (378*2π)/4011 weeks
379.0297 .33058 (379*2π)/4011 weeks
380.01909 .20799 (380*2π)/4011 weeks
381-.11259 .41172 (381*2π)/4011 weeks
382-.31719 .37934 (382*2π)/4011 weeks
383-.17561 .48418 (383*2π)/4011 weeks
384.12504 .52645 (384*2π)/4011 weeks
385-.17937 .34498 (385*2π)/4011 weeks
386-.17563 .48412 (386*2π)/4011 weeks
387-.1385 .59581 (387*2π)/4011 weeks
388-.24138 .68013 (388*2π)/4011 weeks
389-.1465 .2593 (389*2π)/4011 weeks
390-.00308 .46941 (390*2π)/4011 weeks
391-.22249 .84484 (391*2π)/4011 weeks
392-.50413 .82729 (392*2π)/4011 weeks
393-.33145 .50963 (393*2π)/4011 weeks
394.15025 1.04164 (394*2π)/4011 weeks
395.25913 1.17647 (395*2π)/4011 weeks
396-.51487 2.05385 (396*2π)/4011 weeks
397.30226 2.47651 (397*2π)/4011 weeks
398.59866 3.22167 (398*2π)/4011 weeks
3991.45478 .8758 (399*2π)/4011 weeks



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