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Fourier Analysis of SLVP (iShares MSCI Global Silver Miners ETF)


SLVP (iShares MSCI Global Silver Miners ETF) appears to have interesting cyclic behaviour every 26 weeks (.9158*sine), 29 weeks (.534*sine), and 22 weeks (.3661*cosine).

SLVP (iShares MSCI Global Silver Miners ETF) has an average price of 12.23 (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 2/2/2012 to 7/10/2017 for SLVP (iShares MSCI Global Silver Miners ETF), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
012.22953   0 
13.93433 3.35905 (1*2π)/285285 weeks
2.92824 .89573 (2*2π)/285143 weeks
3-1.61277 1.20713 (3*2π)/28595 weeks
4-.6599 .71647 (4*2π)/28571 weeks
5.99438 .36289 (5*2π)/28557 weeks
6.85579 -.21643 (6*2π)/28548 weeks
7.64373 .40475 (7*2π)/28541 weeks
8-.06261 .54417 (8*2π)/28536 weeks
9-.01841 .76132 (9*2π)/28532 weeks
10.18315 .53402 (10*2π)/28529 weeks
11.29825 .91581 (11*2π)/28526 weeks
12-.25276 .51321 (12*2π)/28524 weeks
13.36607 -.00539 (13*2π)/28522 weeks
14-.16744 .16125 (14*2π)/28520 weeks
15.05825 .20374 (15*2π)/28519 weeks
16.15061 .20842 (16*2π)/28518 weeks
17.08333 .24895 (17*2π)/28517 weeks
18.15014 .29377 (18*2π)/28516 weeks
19-.16153 .34591 (19*2π)/28515 weeks
20-.12989 .28815 (20*2π)/28514 weeks
21-.00654 .25798 (21*2π)/28514 weeks
22.09625 .29299 (22*2π)/28513 weeks
23.06028 .04062 (23*2π)/28512 weeks
24.16089 .017 (24*2π)/28512 weeks
25.08558 .15022 (25*2π)/28511 weeks
26-.04012 .23275 (26*2π)/28511 weeks
27.07728 .06228 (27*2π)/28511 weeks
28.12337 .08911 (28*2π)/28510 weeks
29.03017 .19431 (29*2π)/28510 weeks
30-.12377 .35367 (30*2π)/28510 weeks
31.02008 .14188 (31*2π)/2859 weeks
32.03691 .11837 (32*2π)/2859 weeks
33-.07234 .13385 (33*2π)/2859 weeks
34.09319 .18841 (34*2π)/2858 weeks
35.01978 .19596 (35*2π)/2858 weeks
36.0148 .08269 (36*2π)/2858 weeks
37.07596 .11929 (37*2π)/2858 weeks
38.00341 .06176 (38*2π)/2858 weeks
39.00267 .1601 (39*2π)/2857 weeks
40.02847 .06197 (40*2π)/2857 weeks
41.01669 -.01288 (41*2π)/2857 weeks
42.01376 -.01356 (42*2π)/2857 weeks
43.06804 .01589 (43*2π)/2857 weeks
44.0244 .0441 (44*2π)/2856 weeks
45.09371 .1082 (45*2π)/2856 weeks
46.01836 .05575 (46*2π)/2856 weeks
47.01304 .02619 (47*2π)/2856 weeks
48.03663 .03231 (48*2π)/2856 weeks
49.01057 .11519 (49*2π)/2856 weeks
50.00582 .06915 (50*2π)/2856 weeks
51.01069 .10359 (51*2π)/2856 weeks
52.13092 .10063 (52*2π)/2855 weeks
53.20264 .10891 (53*2π)/2855 weeks
54.03749 .06008 (54*2π)/2855 weeks
55-.12135 -.00201 (55*2π)/2855 weeks
56-.04138 .00816 (56*2π)/2855 weeks
57.04974 .09163 (57*2π)/2855 weeks
58.00236 .09707 (58*2π)/2855 weeks
59.05358 .06151 (59*2π)/2855 weeks
60.08837 .01999 (60*2π)/2855 weeks
61.05802 .05876 (61*2π)/2855 weeks
62.05812 .01946 (62*2π)/2855 weeks
63.08964 .01883 (63*2π)/2855 weeks
64.10375 -.01944 (64*2π)/2854 weeks
65.08157 .07304 (65*2π)/2854 weeks
66.04233 .01769 (66*2π)/2854 weeks
67.05488 .13264 (67*2π)/2854 weeks
68.04844 .05043 (68*2π)/2854 weeks
69.06634 -.03471 (69*2π)/2854 weeks
70.08989 .01908 (70*2π)/2854 weeks
71.02645 .07111 (71*2π)/2854 weeks
72.00484 .01866 (72*2π)/2854 weeks
73.03734 .03422 (73*2π)/2854 weeks
74.09027 .00792 (74*2π)/2854 weeks
75.07941 .04119 (75*2π)/2854 weeks
76.02158 .05376 (76*2π)/2854 weeks
77.01622 .05665 (77*2π)/2854 weeks
78.05851 .0116 (78*2π)/2854 weeks
79.05963 .05784 (79*2π)/2854 weeks
80.11698 .01456 (80*2π)/2854 weeks
81.07987 .08077 (81*2π)/2854 weeks
82.04946 .03806 (82*2π)/2853 weeks
83.08233 .07514 (83*2π)/2853 weeks
84-.01995 .02726 (84*2π)/2853 weeks
85.0285 -.04672 (85*2π)/2853 weeks
86.06974 .01393 (86*2π)/2853 weeks
87.07696 .01767 (87*2π)/2853 weeks
88.1107 .00955 (88*2π)/2853 weeks
89.114 .03953 (89*2π)/2853 weeks
90.01415 .01373 (90*2π)/2853 weeks
91.02771 .03747 (91*2π)/2853 weeks
92.05687 .04416 (92*2π)/2853 weeks
93.07876 .0811 (93*2π)/2853 weeks
94.06572 .02925 (94*2π)/2853 weeks
95.05271 -.00749 (95*2π)/2853 weeks
96.06715 .01542 (96*2π)/2853 weeks
97.02007 .04972 (97*2π)/2853 weeks
98.02598 .03623 (98*2π)/2853 weeks
99.03343 .00621 (99*2π)/2853 weeks
100.05789 .01883 (100*2π)/2853 weeks
101.06309 -.01901 (101*2π)/2853 weeks
102.05852 -.0016 (102*2π)/2853 weeks
103.02983 -.0062 (103*2π)/2853 weeks
104.01301 .01916 (104*2π)/2853 weeks
105.02796 .02525 (105*2π)/2853 weeks
106.05521 .01543 (106*2π)/2853 weeks
107.10129 .02335 (107*2π)/2853 weeks
108.07586 -.00312 (108*2π)/2853 weeks
109.01055 .04251 (109*2π)/2853 weeks
110.0139 .02599 (110*2π)/2853 weeks
111.01849 .02191 (111*2π)/2853 weeks
112.00806 -.00538 (112*2π)/2853 weeks
113.03501 -.04508 (113*2π)/2853 weeks
114.08255 -.03096 (114*2π)/2853 weeks
115.08246 .01877 (115*2π)/2852 weeks
116.05325 .0158 (116*2π)/2852 weeks
117.09347 .00796 (117*2π)/2852 weeks
118.02088 .03424 (118*2π)/2852 weeks
119.03599 -.00901 (119*2π)/2852 weeks
120.05189 .02644 (120*2π)/2852 weeks
121.06639 .05507 (121*2π)/2852 weeks
122.03595 .04565 (122*2π)/2852 weeks
123.03782 .00476 (123*2π)/2852 weeks
124.06 -.00334 (124*2π)/2852 weeks
125.05196 -.00158 (125*2π)/2852 weeks
126.0271 -.03196 (126*2π)/2852 weeks
127.00699 .02906 (127*2π)/2852 weeks
128.04314 -.00788 (128*2π)/2852 weeks
129.07617 .0533 (129*2π)/2852 weeks
130.06582 .05619 (130*2π)/2852 weeks
131.01732 .01831 (131*2π)/2852 weeks
132.01563 .00661 (132*2π)/2852 weeks
133.01508 .01591 (133*2π)/2852 weeks
134.00814 .00362 (134*2π)/2852 weeks
135.02965 .01252 (135*2π)/2852 weeks
136.00679 -.03686 (136*2π)/2852 weeks
137.06198 .00176 (137*2π)/2852 weeks
138.08071 .03081 (138*2π)/2852 weeks
139.06567 .02474 (139*2π)/2852 weeks
140.05892 -.01938 (140*2π)/2852 weeks
141.03417 .01353 (141*2π)/2852 weeks
142.03034 -.01855 (142*2π)/2852 weeks
143.03034 .01855 (143*2π)/2852 weeks
144.03417 -.01353 (144*2π)/2852 weeks
145.05892 .01938 (145*2π)/2852 weeks
146.06567 -.02474 (146*2π)/2852 weeks
147.08071 -.03081 (147*2π)/2852 weeks
148.06198 -.00176 (148*2π)/2852 weeks
149.00679 .03686 (149*2π)/2852 weeks
150.02965 -.01252 (150*2π)/2852 weeks
151.00814 -.00362 (151*2π)/2852 weeks
152.01508 -.01591 (152*2π)/2852 weeks
153.01563 -.00661 (153*2π)/2852 weeks
154.01732 -.01831 (154*2π)/2852 weeks
155.06582 -.05619 (155*2π)/2852 weeks
156.07617 -.0533 (156*2π)/2852 weeks
157.04314 .00788 (157*2π)/2852 weeks
158.00699 -.02906 (158*2π)/2852 weeks
159.0271 .03196 (159*2π)/2852 weeks
160.05196 .00158 (160*2π)/2852 weeks
161.06 .00334 (161*2π)/2852 weeks
162.03782 -.00476 (162*2π)/2852 weeks
163.03595 -.04565 (163*2π)/2852 weeks
164.06639 -.05507 (164*2π)/2852 weeks
165.05189 -.02644 (165*2π)/2852 weeks
166.03599 .00901 (166*2π)/2852 weeks
167.02088 -.03424 (167*2π)/2852 weeks
168.09347 -.00796 (168*2π)/2852 weeks
169.05325 -.0158 (169*2π)/2852 weeks
170.08246 -.01877 (170*2π)/2852 weeks
171.08255 .03096 (171*2π)/2852 weeks
172.03501 .04508 (172*2π)/2852 weeks
173.00806 .00538 (173*2π)/2852 weeks
174.01849 -.02191 (174*2π)/2852 weeks
175.0139 -.02599 (175*2π)/2852 weeks
176.01055 -.04251 (176*2π)/2852 weeks
177.07586 .00312 (177*2π)/2852 weeks
178.10129 -.02335 (178*2π)/2852 weeks
179.05521 -.01543 (179*2π)/2852 weeks
180.02796 -.02525 (180*2π)/2852 weeks
181.01301 -.01916 (181*2π)/2852 weeks
182.02983 .0062 (182*2π)/2852 weeks
183.05852 .0016 (183*2π)/2852 weeks
184.06309 .01901 (184*2π)/2852 weeks
185.05789 -.01883 (185*2π)/2852 weeks
186.03343 -.00621 (186*2π)/2852 weeks
187.02598 -.03623 (187*2π)/2852 weeks
188.02007 -.04972 (188*2π)/2852 weeks
189.06715 -.01542 (189*2π)/2852 weeks
190.05271 .00749 (190*2π)/2852 weeks
191.06572 -.02925 (191*2π)/2851 weeks
192.07876 -.0811 (192*2π)/2851 weeks
193.05687 -.04416 (193*2π)/2851 weeks
194.02771 -.03747 (194*2π)/2851 weeks
195.01415 -.01373 (195*2π)/2851 weeks
196.114 -.03953 (196*2π)/2851 weeks
197.1107 -.00955 (197*2π)/2851 weeks
198.07696 -.01767 (198*2π)/2851 weeks
199.06974 -.01393 (199*2π)/2851 weeks
200.0285 .04672 (200*2π)/2851 weeks
201-.01995 -.02726 (201*2π)/2851 weeks
202.08233 -.07514 (202*2π)/2851 weeks
203.04946 -.03806 (203*2π)/2851 weeks
204.07987 -.08077 (204*2π)/2851 weeks
205.11698 -.01456 (205*2π)/2851 weeks
206.05963 -.05784 (206*2π)/2851 weeks
207.05851 -.0116 (207*2π)/2851 weeks
208.01622 -.05665 (208*2π)/2851 weeks
209.02158 -.05376 (209*2π)/2851 weeks
210.07941 -.04119 (210*2π)/2851 weeks
211.09027 -.00792 (211*2π)/2851 weeks
212.03734 -.03422 (212*2π)/2851 weeks
213.00484 -.01866 (213*2π)/2851 weeks
214.02645 -.07111 (214*2π)/2851 weeks
215.08989 -.01908 (215*2π)/2851 weeks
216.06634 .03471 (216*2π)/2851 weeks
217.04844 -.05043 (217*2π)/2851 weeks
218.05488 -.13264 (218*2π)/2851 weeks
219.04233 -.01769 (219*2π)/2851 weeks
220.08157 -.07304 (220*2π)/2851 weeks
221.10375 .01944 (221*2π)/2851 weeks
222.08964 -.01883 (222*2π)/2851 weeks
223.05812 -.01946 (223*2π)/2851 weeks
224.05802 -.05876 (224*2π)/2851 weeks
225.08837 -.01999 (225*2π)/2851 weeks
226.05358 -.06151 (226*2π)/2851 weeks
227.00236 -.09707 (227*2π)/2851 weeks
228.04974 -.09163 (228*2π)/2851 weeks
229-.04138 -.00816 (229*2π)/2851 weeks
230-.12135 .00201 (230*2π)/2851 weeks
231.03749 -.06008 (231*2π)/2851 weeks
232.20264 -.10891 (232*2π)/2851 weeks
233.13092 -.10063 (233*2π)/2851 weeks
234.01069 -.10359 (234*2π)/2851 weeks
235.00582 -.06915 (235*2π)/2851 weeks
236.01057 -.11519 (236*2π)/2851 weeks
237.03663 -.03231 (237*2π)/2851 weeks
238.01304 -.02619 (238*2π)/2851 weeks
239.01836 -.05575 (239*2π)/2851 weeks
240.09371 -.1082 (240*2π)/2851 weeks
241.0244 -.0441 (241*2π)/2851 weeks
242.06804 -.01589 (242*2π)/2851 weeks
243.01376 .01356 (243*2π)/2851 weeks
244.01669 .01288 (244*2π)/2851 weeks
245.02847 -.06197 (245*2π)/2851 weeks
246.00267 -.1601 (246*2π)/2851 weeks
247.00341 -.06176 (247*2π)/2851 weeks
248.07596 -.11929 (248*2π)/2851 weeks
249.0148 -.08269 (249*2π)/2851 weeks
250.01978 -.19596 (250*2π)/2851 weeks
251.09319 -.18841 (251*2π)/2851 weeks
252-.07234 -.13385 (252*2π)/2851 weeks
253.03691 -.11837 (253*2π)/2851 weeks
254.02008 -.14188 (254*2π)/2851 weeks
255-.12377 -.35367 (255*2π)/2851 weeks
256.03017 -.19431 (256*2π)/2851 weeks
257.12337 -.08911 (257*2π)/2851 weeks
258.07728 -.06228 (258*2π)/2851 weeks
259-.04012 -.23275 (259*2π)/2851 weeks
260.08558 -.15022 (260*2π)/2851 weeks
261.16089 -.017 (261*2π)/2851 weeks
262.06028 -.04062 (262*2π)/2851 weeks
263.09625 -.29299 (263*2π)/2851 weeks
264-.00654 -.25798 (264*2π)/2851 weeks
265-.12989 -.28815 (265*2π)/2851 weeks
266-.16153 -.34591 (266*2π)/2851 weeks
267.15014 -.29377 (267*2π)/2851 weeks
268.08333 -.24895 (268*2π)/2851 weeks
269.15061 -.20842 (269*2π)/2851 weeks
270.05825 -.20374 (270*2π)/2851 weeks
271-.16744 -.16125 (271*2π)/2851 weeks
272.36607 .00539 (272*2π)/2851 weeks
273-.25276 -.51321 (273*2π)/2851 weeks
274.29825 -.91581 (274*2π)/2851 weeks
275.18315 -.53402 (275*2π)/2851 weeks
276-.01841 -.76132 (276*2π)/2851 weeks
277-.06261 -.54417 (277*2π)/2851 weeks
278.64373 -.40475 (278*2π)/2851 weeks
279.85579 .21643 (279*2π)/2851 weeks
280.99438 -.36289 (280*2π)/2851 weeks
281-.6599 -.71647 (281*2π)/2851 weeks
282-1.61277 -1.20713 (282*2π)/2851 weeks
283.92824 -.89573 (283*2π)/2851 weeks



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