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# Fourier Analysis of SCIF (VanEck Vectors India Small-Cap ETF)

SCIF (VanEck Vectors India Small-Cap ETF) appears to have interesting cyclic behaviour every 40 weeks (1.89*cosine), 33 weeks (1.3756*sine), and 30 weeks (1.3022*cosine).

SCIF (VanEck Vectors India Small-Cap ETF) has an average price of 45.75 (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 8/25/2010 to 3/19/2018 for SCIF (VanEck Vectors India Small-Cap ETF), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
045.75289   0
113.66561 -2.06135 (1*2π)/396396 weeks
27.50451 3.82368 (2*2π)/396198 weeks
32.80897 -2.49926 (3*2π)/396132 weeks
41.97263 3.45128 (4*2π)/39699 weeks
5-.94948 .18665 (5*2π)/39679 weeks
61.33738 .36921 (6*2π)/39666 weeks
7-.6771 1.11459 (7*2π)/39657 weeks
8.47377 .4521 (8*2π)/39650 weeks
91.4401 .23923 (9*2π)/39644 weeks
101.88997 .78002 (10*2π)/39640 weeks
11-.87421 .81773 (11*2π)/39636 weeks
12-.98319 1.3756 (12*2π)/39633 weeks
13-1.3022 .2042 (13*2π)/39630 weeks
14.09973 .86196 (14*2π)/39628 weeks
15-.56918 .90343 (15*2π)/39626 weeks
16-.06853 .78935 (16*2π)/39625 weeks
17-1.01733 .61311 (17*2π)/39623 weeks
18-1.08517 -.16275 (18*2π)/39622 weeks
19-.33153 .33968 (19*2π)/39621 weeks
20.57285 .56563 (20*2π)/39620 weeks
21-.69829 .31551 (21*2π)/39619 weeks
22-.3868 .69261 (22*2π)/39618 weeks
23-.48832 .17965 (23*2π)/39617 weeks
24-.20464 -.16524 (24*2π)/39617 weeks
25.43703 .33773 (25*2π)/39616 weeks
26.3222 .81343 (26*2π)/39615 weeks
27-.28841 .55619 (27*2π)/39615 weeks
28-.18858 .2798 (28*2π)/39614 weeks
29-.85151 .3827 (29*2π)/39614 weeks
30-.65015 .40742 (30*2π)/39613 weeks
31.05866 -.0724 (31*2π)/39613 weeks
32.28641 -.28404 (32*2π)/39612 weeks
33-.30845 .23922 (33*2π)/39612 weeks
34.48687 .06995 (34*2π)/39612 weeks
35-.40741 -.47487 (35*2π)/39611 weeks
36.50222 -.04153 (36*2π)/39611 weeks
37.34338 .17466 (37*2π)/39611 weeks
38.06929 .14416 (38*2π)/39610 weeks
39-.11167 .02734 (39*2π)/39610 weeks
40.21158 .17596 (40*2π)/39610 weeks
41.17204 -.27222 (41*2π)/39610 weeks
42.19751 .04859 (42*2π)/3969 weeks
43.27849 -.02907 (43*2π)/3969 weeks
44-.02289 -.07025 (44*2π)/3969 weeks
45.09924 .13925 (45*2π)/3969 weeks
46.02629 -.03967 (46*2π)/3969 weeks
47.09817 .13716 (47*2π)/3968 weeks
48-.14874 .13846 (48*2π)/3968 weeks
49-.16516 .08443 (49*2π)/3968 weeks
50-.09584 -.04965 (50*2π)/3968 weeks
51-.0526 .53781 (51*2π)/3968 weeks
52-.05033 .27265 (52*2π)/3968 weeks
53-.13865 .43136 (53*2π)/3967 weeks
54-.12202 .11404 (54*2π)/3967 weeks
55-.31859 .17781 (55*2π)/3967 weeks
56-.27808 -.19213 (56*2π)/3967 weeks
57-.02265 -.08951 (57*2π)/3967 weeks
58.11526 -.03515 (58*2π)/3967 weeks
59.23556 .03526 (59*2π)/3967 weeks
60-.06135 -.03545 (60*2π)/3967 weeks
61-.10964 .32392 (61*2π)/3966 weeks
62-.26377 .02584 (62*2π)/3966 weeks
63-.07363 .23029 (63*2π)/3966 weeks
64.10701 -.00997 (64*2π)/3966 weeks
65.14156 .00243 (65*2π)/3966 weeks
66.19887 .38686 (66*2π)/3966 weeks
67.12571 .10706 (67*2π)/3966 weeks
68-.00252 .14276 (68*2π)/3966 weeks
69.23913 -.08044 (69*2π)/3966 weeks
70.07453 .00776 (70*2π)/3966 weeks
71.19589 .03806 (71*2π)/3966 weeks
72-.00858 -.10424 (72*2π)/3966 weeks
73.02469 .18321 (73*2π)/3965 weeks
74.15874 .25588 (74*2π)/3965 weeks
75.10145 -.06155 (75*2π)/3965 weeks
76-.03402 -.05373 (76*2π)/3965 weeks
77.27883 .14768 (77*2π)/3965 weeks
78.0603 .03099 (78*2π)/3965 weeks
79.01322 .07179 (79*2π)/3965 weeks
80.06651 .12108 (80*2π)/3965 weeks
81.20628 -.02349 (81*2π)/3965 weeks
82.00208 .00415 (82*2π)/3965 weeks
83-.03477 .03819 (83*2π)/3965 weeks
84.0601 .15173 (84*2π)/3965 weeks
85-.02818 .0363 (85*2π)/3965 weeks
86-.07796 -.00771 (86*2π)/3965 weeks
87.22349 .06416 (87*2π)/3965 weeks
88.07389 .02165 (88*2π)/3965 weeks
89.07583 -.01863 (89*2π)/3964 weeks
90-.02334 .22016 (90*2π)/3964 weeks
91-.08825 .30393 (91*2π)/3964 weeks
92-.04575 -.02651 (92*2π)/3964 weeks
93.00841 .03391 (93*2π)/3964 weeks
94-.05742 .04759 (94*2π)/3964 weeks
95.02261 .01152 (95*2π)/3964 weeks
96-.07477 .00356 (96*2π)/3964 weeks
97.00548 .04089 (97*2π)/3964 weeks
98-.11465 .06079 (98*2π)/3964 weeks
99-.0867 -.03036 (99*2π)/3964 weeks
100-.04967 -.01417 (100*2π)/3964 weeks
101-.01101 -.03656 (101*2π)/3964 weeks
102-.03373 -.04053 (102*2π)/3964 weeks
103-.05362 -.003 (103*2π)/3964 weeks
104-.08494 .02918 (104*2π)/3964 weeks
105.04176 .03471 (105*2π)/3964 weeks
106-.04321 -.12809 (106*2π)/3964 weeks
107.1097 -.06188 (107*2π)/3964 weeks
108-.00982 -.05402 (108*2π)/3964 weeks
109.03689 .14615 (109*2π)/3964 weeks
110.11314 .04896 (110*2π)/3964 weeks
111-.07234 .08672 (111*2π)/3964 weeks
112.14155 .02254 (112*2π)/3964 weeks
113.09547 -.03614 (113*2π)/3964 weeks
114.20202 -.00583 (114*2π)/3963 weeks
115.18644 .08134 (115*2π)/3963 weeks
116.0097 .02252 (116*2π)/3963 weeks
117.06231 .19661 (117*2π)/3963 weeks
118.07947 -.00047 (118*2π)/3963 weeks
119-.04125 .10382 (119*2π)/3963 weeks
120.00815 .06392 (120*2π)/3963 weeks
121-.16641 .1637 (121*2π)/3963 weeks
122-.02888 .0155 (122*2π)/3963 weeks
123-.00548 .12642 (123*2π)/3963 weeks
124-.03644 -.00927 (124*2π)/3963 weeks
125-.01453 .08447 (125*2π)/3963 weeks
126.14833 .05752 (126*2π)/3963 weeks
127.02529 .04945 (127*2π)/3963 weeks
128.1003 .06134 (128*2π)/3963 weeks
129.00752 .0917 (129*2π)/3963 weeks
130.00377 -.03596 (130*2π)/3963 weeks
131-.00509 -.02676 (131*2π)/3963 weeks
132.05885 -.0651 (132*2π)/3963 weeks
133.06525 .01996 (133*2π)/3963 weeks
134.05415 -.05728 (134*2π)/3963 weeks
135-.03025 .13516 (135*2π)/3963 weeks
136.02662 -.10725 (136*2π)/3963 weeks
137.08247 .0693 (137*2π)/3963 weeks
138.01889 -.08025 (138*2π)/3963 weeks
139-.09073 .08225 (139*2π)/3963 weeks
140.16328 -.12145 (140*2π)/3963 weeks
141-.01242 -.10074 (141*2π)/3963 weeks
142-.0175 -.10623 (142*2π)/3963 weeks
143.02116 .06176 (143*2π)/3963 weeks
144.14459 .0762 (144*2π)/3963 weeks
145-.10142 .13871 (145*2π)/3963 weeks
146-.00977 .01491 (146*2π)/3963 weeks
147-.03956 .0185 (147*2π)/3963 weeks
148.05185 -.14337 (148*2π)/3963 weeks
149.05304 .02518 (149*2π)/3963 weeks
150.07047 -.03176 (150*2π)/3963 weeks
151-.07525 .03089 (151*2π)/3963 weeks
152.00247 -.05844 (152*2π)/3963 weeks
153-.01175 .091 (153*2π)/3963 weeks
154-.03574 -.00778 (154*2π)/3963 weeks
155.01945 -.01373 (155*2π)/3963 weeks
156.00897 -.02695 (156*2π)/3963 weeks
157-.04706 .04125 (157*2π)/3963 weeks
158.04415 -.04305 (158*2π)/3963 weeks
159-.03051 .06084 (159*2π)/3962 weeks
160.02848 .07482 (160*2π)/3962 weeks
161.10769 .07244 (161*2π)/3962 weeks
162.02209 .10309 (162*2π)/3962 weeks
163-.08101 .09043 (163*2π)/3962 weeks
164.08151 -.02849 (164*2π)/3962 weeks
165.07927 .10337 (165*2π)/3962 weeks
166-.02496 .0141 (166*2π)/3962 weeks
167.03535 -.0245 (167*2π)/3962 weeks
168.02693 .04483 (168*2π)/3962 weeks
169.12724 .03758 (169*2π)/3962 weeks
170.18298 .0427 (170*2π)/3962 weeks
171.12624 .01312 (171*2π)/3962 weeks
172.02262 .07606 (172*2π)/3962 weeks
173.16837 .02422 (173*2π)/3962 weeks
174.20337 .03441 (174*2π)/3962 weeks
175.16812 .07891 (175*2π)/3962 weeks
176.04593 .04434 (176*2π)/3962 weeks
177.04479 .0026 (177*2π)/3962 weeks
178-.09392 .04543 (178*2π)/3962 weeks
179-.01046 -.00288 (179*2π)/3962 weeks
180-.00209 -.03467 (180*2π)/3962 weeks
181.02296 .00323 (181*2π)/3962 weeks
182-.13133 .02091 (182*2π)/3962 weeks
183.10729 -.01101 (183*2π)/3962 weeks
184-.09213 -.05 (184*2π)/3962 weeks
185.02645 -.05425 (185*2π)/3962 weeks
186-.14353 -.13435 (186*2π)/3962 weeks
187.13077 -.10815 (187*2π)/3962 weeks
188-.02611 -.21695 (188*2π)/3962 weeks
189.04014 -.0927 (189*2π)/3962 weeks
190.07985 -.02829 (190*2π)/3962 weeks
191.08053 -.03554 (191*2π)/3962 weeks
192-.09801 -.05779 (192*2π)/3962 weeks
193.02041 .00094 (193*2π)/3962 weeks
194.02528 -.03601 (194*2π)/3962 weeks
195.15529 -.07745 (195*2π)/3962 weeks
196.04655 .05872 (196*2π)/3962 weeks
197.1332 .01272 (197*2π)/3962 weeks
198.02874   (198*2π)/3962 weeks
199.1332 -.01272 (199*2π)/3962 weeks
200.04655 -.05872 (200*2π)/3962 weeks
201.15529 .07745 (201*2π)/3962 weeks
202.02528 .03601 (202*2π)/3962 weeks
203.02041 -.00094 (203*2π)/3962 weeks
204-.09801 .05779 (204*2π)/3962 weeks
205.08053 .03554 (205*2π)/3962 weeks
206.07985 .02829 (206*2π)/3962 weeks
207.04014 .0927 (207*2π)/3962 weeks
208-.02611 .21695 (208*2π)/3962 weeks
209.13077 .10815 (209*2π)/3962 weeks
210-.14353 .13435 (210*2π)/3962 weeks
211.02645 .05425 (211*2π)/3962 weeks
212-.09213 .05 (212*2π)/3962 weeks
213.10729 .01101 (213*2π)/3962 weeks
214-.13133 -.02091 (214*2π)/3962 weeks
215.02296 -.00323 (215*2π)/3962 weeks
216-.00209 .03467 (216*2π)/3962 weeks
217-.01046 .00288 (217*2π)/3962 weeks
218-.09392 -.04543 (218*2π)/3962 weeks
219.04479 -.0026 (219*2π)/3962 weeks
220.04593 -.04434 (220*2π)/3962 weeks
221.16812 -.07891 (221*2π)/3962 weeks
222.20337 -.03441 (222*2π)/3962 weeks
223.16837 -.02422 (223*2π)/3962 weeks
224.02262 -.07606 (224*2π)/3962 weeks
225.12624 -.01312 (225*2π)/3962 weeks
226.18298 -.0427 (226*2π)/3962 weeks
227.12724 -.03758 (227*2π)/3962 weeks
228.02693 -.04483 (228*2π)/3962 weeks
229.03535 .0245 (229*2π)/3962 weeks
230-.02496 -.0141 (230*2π)/3962 weeks
231.07927 -.10337 (231*2π)/3962 weeks
232.08151 .02849 (232*2π)/3962 weeks
233-.08101 -.09043 (233*2π)/3962 weeks
234.02209 -.10309 (234*2π)/3962 weeks
235.10769 -.07244 (235*2π)/3962 weeks
236.02848 -.07482 (236*2π)/3962 weeks
237-.03051 -.06084 (237*2π)/3962 weeks
238.04415 .04305 (238*2π)/3962 weeks
239-.04706 -.04125 (239*2π)/3962 weeks
240.00897 .02695 (240*2π)/3962 weeks
241.01945 .01373 (241*2π)/3962 weeks
242-.03574 .00778 (242*2π)/3962 weeks
243-.01175 -.091 (243*2π)/3962 weeks
244.00247 .05844 (244*2π)/3962 weeks
245-.07525 -.03089 (245*2π)/3962 weeks
246.07047 .03176 (246*2π)/3962 weeks
247.05304 -.02518 (247*2π)/3962 weeks
248.05185 .14337 (248*2π)/3962 weeks
249-.03956 -.0185 (249*2π)/3962 weeks
250-.00977 -.01491 (250*2π)/3962 weeks
251-.10142 -.13871 (251*2π)/3962 weeks
252.14459 -.0762 (252*2π)/3962 weeks
253.02116 -.06176 (253*2π)/3962 weeks
254-.0175 .10623 (254*2π)/3962 weeks
255-.01242 .10074 (255*2π)/3962 weeks
256.16328 .12145 (256*2π)/3962 weeks
257-.09073 -.08225 (257*2π)/3962 weeks
258.01889 .08025 (258*2π)/3962 weeks
259.08247 -.0693 (259*2π)/3962 weeks
260.02662 .10725 (260*2π)/3962 weeks
261-.03025 -.13516 (261*2π)/3962 weeks
262.05415 .05728 (262*2π)/3962 weeks
263.06525 -.01996 (263*2π)/3962 weeks
264.05885 .0651 (264*2π)/3962 weeks
265-.00509 .02676 (265*2π)/3961 weeks
266.00377 .03596 (266*2π)/3961 weeks
267.00752 -.0917 (267*2π)/3961 weeks
268.1003 -.06134 (268*2π)/3961 weeks
269.02529 -.04945 (269*2π)/3961 weeks
270.14833 -.05752 (270*2π)/3961 weeks
271-.01453 -.08447 (271*2π)/3961 weeks
272-.03644 .00927 (272*2π)/3961 weeks
273-.00548 -.12642 (273*2π)/3961 weeks
274-.02888 -.0155 (274*2π)/3961 weeks
275-.16641 -.1637 (275*2π)/3961 weeks
276.00815 -.06392 (276*2π)/3961 weeks
277-.04125 -.10382 (277*2π)/3961 weeks
278.07947 .00047 (278*2π)/3961 weeks
279.06231 -.19661 (279*2π)/3961 weeks
280.0097 -.02252 (280*2π)/3961 weeks
281.18644 -.08134 (281*2π)/3961 weeks
282.20202 .00583 (282*2π)/3961 weeks
283.09547 .03614 (283*2π)/3961 weeks
284.14155 -.02254 (284*2π)/3961 weeks
285-.07234 -.08672 (285*2π)/3961 weeks
286.11314 -.04896 (286*2π)/3961 weeks
287.03689 -.14615 (287*2π)/3961 weeks
288-.00982 .05402 (288*2π)/3961 weeks
289.1097 .06188 (289*2π)/3961 weeks
290-.04321 .12809 (290*2π)/3961 weeks
291.04176 -.03471 (291*2π)/3961 weeks
292-.08494 -.02918 (292*2π)/3961 weeks
293-.05362 .003 (293*2π)/3961 weeks
294-.03373 .04053 (294*2π)/3961 weeks
295-.01101 .03656 (295*2π)/3961 weeks
296-.04967 .01417 (296*2π)/3961 weeks
297-.0867 .03036 (297*2π)/3961 weeks
298-.11465 -.06079 (298*2π)/3961 weeks
299.00548 -.04089 (299*2π)/3961 weeks
300-.07477 -.00356 (300*2π)/3961 weeks
301.02261 -.01152 (301*2π)/3961 weeks
302-.05742 -.04759 (302*2π)/3961 weeks
303.00841 -.03391 (303*2π)/3961 weeks
304-.04575 .02651 (304*2π)/3961 weeks
305-.08825 -.30393 (305*2π)/3961 weeks
306-.02334 -.22016 (306*2π)/3961 weeks
307.07583 .01863 (307*2π)/3961 weeks
308.07389 -.02165 (308*2π)/3961 weeks
309.22349 -.06416 (309*2π)/3961 weeks
310-.07796 .00771 (310*2π)/3961 weeks
311-.02818 -.0363 (311*2π)/3961 weeks
312.0601 -.15173 (312*2π)/3961 weeks
313-.03477 -.03819 (313*2π)/3961 weeks
314.00208 -.00415 (314*2π)/3961 weeks
315.20628 .02349 (315*2π)/3961 weeks
316.06651 -.12108 (316*2π)/3961 weeks
317.01322 -.07179 (317*2π)/3961 weeks
318.0603 -.03099 (318*2π)/3961 weeks
319.27883 -.14768 (319*2π)/3961 weeks
320-.03402 .05373 (320*2π)/3961 weeks
321.10145 .06155 (321*2π)/3961 weeks
322.15874 -.25588 (322*2π)/3961 weeks
323.02469 -.18321 (323*2π)/3961 weeks
324-.00858 .10424 (324*2π)/3961 weeks
325.19589 -.03806 (325*2π)/3961 weeks
326.07453 -.00776 (326*2π)/3961 weeks
327.23913 .08044 (327*2π)/3961 weeks
328-.00252 -.14276 (328*2π)/3961 weeks
329.12571 -.10706 (329*2π)/3961 weeks
330.19887 -.38686 (330*2π)/3961 weeks
331.14156 -.00243 (331*2π)/3961 weeks
332.10701 .00997 (332*2π)/3961 weeks
333-.07363 -.23029 (333*2π)/3961 weeks
334-.26377 -.02584 (334*2π)/3961 weeks
335-.10964 -.32392 (335*2π)/3961 weeks
336-.06135 .03545 (336*2π)/3961 weeks
337.23556 -.03526 (337*2π)/3961 weeks
338.11526 .03515 (338*2π)/3961 weeks
339-.02265 .08951 (339*2π)/3961 weeks
340-.27808 .19213 (340*2π)/3961 weeks
341-.31859 -.17781 (341*2π)/3961 weeks
342-.12202 -.11404 (342*2π)/3961 weeks
343-.13865 -.43136 (343*2π)/3961 weeks
344-.05033 -.27265 (344*2π)/3961 weeks
345-.0526 -.53781 (345*2π)/3961 weeks
346-.09584 .04965 (346*2π)/3961 weeks
347-.16516 -.08443 (347*2π)/3961 weeks
348-.14874 -.13846 (348*2π)/3961 weeks
349.09817 -.13716 (349*2π)/3961 weeks
350.02629 .03967 (350*2π)/3961 weeks
351.09924 -.13925 (351*2π)/3961 weeks
352-.02289 .07025 (352*2π)/3961 weeks
353.27849 .02907 (353*2π)/3961 weeks
354.19751 -.04859 (354*2π)/3961 weeks
355.17204 .27222 (355*2π)/3961 weeks
356.21158 -.17596 (356*2π)/3961 weeks
357-.11167 -.02734 (357*2π)/3961 weeks
358.06929 -.14416 (358*2π)/3961 weeks
359.34338 -.17466 (359*2π)/3961 weeks
360.50222 .04153 (360*2π)/3961 weeks
361-.40741 .47487 (361*2π)/3961 weeks
362.48687 -.06995 (362*2π)/3961 weeks
363-.30845 -.23922 (363*2π)/3961 weeks
364.28641 .28404 (364*2π)/3961 weeks
365.05866 .0724 (365*2π)/3961 weeks
366-.65015 -.40742 (366*2π)/3961 weeks
367-.85151 -.3827 (367*2π)/3961 weeks
368-.18858 -.2798 (368*2π)/3961 weeks
369-.28841 -.55619 (369*2π)/3961 weeks
370.3222 -.81343 (370*2π)/3961 weeks
371.43703 -.33773 (371*2π)/3961 weeks
372-.20464 .16524 (372*2π)/3961 weeks
373-.48832 -.17965 (373*2π)/3961 weeks
374-.3868 -.69261 (374*2π)/3961 weeks
375-.69829 -.31551 (375*2π)/3961 weeks
376.57285 -.56563 (376*2π)/3961 weeks
377-.33153 -.33968 (377*2π)/3961 weeks
378-1.08517 .16275 (378*2π)/3961 weeks
379-1.01733 -.61311 (379*2π)/3961 weeks
380-.06853 -.78935 (380*2π)/3961 weeks
381-.56918 -.90343 (381*2π)/3961 weeks
382.09973 -.86196 (382*2π)/3961 weeks
383-1.3022 -.2042 (383*2π)/3961 weeks
384-.98319 -1.3756 (384*2π)/3961 weeks
385-.87421 -.81773 (385*2π)/3961 weeks
3861.88997 -.78002 (386*2π)/3961 weeks
3871.4401 -.23923 (387*2π)/3961 weeks
388.47377 -.4521 (388*2π)/3961 weeks
389-.6771 -1.11459 (389*2π)/3961 weeks
3901.33738 -.36921 (390*2π)/3961 weeks
391-.94948 -.18665 (391*2π)/3961 weeks
3921.97263 -3.45128 (392*2π)/3961 weeks
3932.80897 2.49926 (393*2π)/3961 weeks
3947.50451 -3.82368 (394*2π)/3961 weeks