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Fourier Analysis of HILO (EGShares EM Quality Dividend ET)


HILO (EGShares EM Quality Dividend ET) appears to have interesting cyclic behaviour every 30 weeks (.2587*cosine), 21 weeks (.2382*cosine), and 18 weeks (.145*cosine).

HILO (EGShares EM Quality Dividend ET) has an average price of 14.58 (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 8/4/2011 to 3/20/2017 for HILO (EGShares EM Quality Dividend ET), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
014.57754   0 
1-.52837 2.2112 (1*2π)/295295 weeks
2.17339 .37704 (2*2π)/295148 weeks
3.24976 -.2553 (3*2π)/29598 weeks
4-.11689 .2559 (4*2π)/29574 weeks
5-.45822 .16039 (5*2π)/29559 weeks
6.04685 .19348 (6*2π)/29549 weeks
7.1372 -.30633 (7*2π)/29542 weeks
8.15639 .23716 (8*2π)/29537 weeks
9.13965 -.11359 (9*2π)/29533 weeks
10.25872 .03869 (10*2π)/29530 weeks
11.11057 .20457 (11*2π)/29527 weeks
12.19749 .0722 (12*2π)/29525 weeks
13-.03037 -.01618 (13*2π)/29523 weeks
14-.23817 -.017 (14*2π)/29521 weeks
15-.05737 .00822 (15*2π)/29520 weeks
16.14495 .02763 (16*2π)/29518 weeks
17.08469 .04235 (17*2π)/29517 weeks
18-.03618 -.04371 (18*2π)/29516 weeks
19.00707 -.00996 (19*2π)/29516 weeks
20.06125 .07689 (20*2π)/29515 weeks
21-.0364 .08586 (21*2π)/29514 weeks
22-.02143 .0078 (22*2π)/29513 weeks
23.10433 .09487 (23*2π)/29513 weeks
24.0867 .09112 (24*2π)/29512 weeks
25-.04199 -.00394 (25*2π)/29512 weeks
26.07356 .17008 (26*2π)/29511 weeks
27-.03574 -.00749 (27*2π)/29511 weeks
28-.00045 -.02443 (28*2π)/29511 weeks
29.02805 .06222 (29*2π)/29510 weeks
30-.05847 .02473 (30*2π)/29510 weeks
31.03592 .00204 (31*2π)/29510 weeks
32.00609 .08401 (32*2π)/2959 weeks
33-.03663 .05784 (33*2π)/2959 weeks
34-.02069 .04807 (34*2π)/2959 weeks
35.00721 .05982 (35*2π)/2958 weeks
36-.03576 -.02367 (36*2π)/2958 weeks
37-.00731 -.00934 (37*2π)/2958 weeks
38.0441 -.01394 (38*2π)/2958 weeks
39-.00232 .00516 (39*2π)/2958 weeks
40.00443 .00878 (40*2π)/2957 weeks
41-.03307 .00318 (41*2π)/2957 weeks
42-.01261 -.00122 (42*2π)/2957 weeks
43-.00403 -.0145 (43*2π)/2957 weeks
44-.00234 -.06353 (44*2π)/2957 weeks
45.01761 -.02812 (45*2π)/2957 weeks
46.05602 -.00976 (46*2π)/2956 weeks
47-.00169 .04173 (47*2π)/2956 weeks
48.03526 .02996 (48*2π)/2956 weeks
49.02877 -.00917 (49*2π)/2956 weeks
50.00908 -.02221 (50*2π)/2956 weeks
51.05118 .01516 (51*2π)/2956 weeks
52-.03966 .02727 (52*2π)/2956 weeks
53.02829 .02343 (53*2π)/2956 weeks
54.07598 .04663 (54*2π)/2955 weeks
55.0317 -.04144 (55*2π)/2955 weeks
56.00797 -.02245 (56*2π)/2955 weeks
57-.02813 .01146 (57*2π)/2955 weeks
58.02064 .00677 (58*2π)/2955 weeks
59.017 -.03747 (59*2π)/2955 weeks
60-.00732 -.02621 (60*2π)/2955 weeks
61.02193 .01926 (61*2π)/2955 weeks
62.0233 .04462 (62*2π)/2955 weeks
63.00345 .00109 (63*2π)/2955 weeks
64.01495 -.01114 (64*2π)/2955 weeks
65-.00689 .03474 (65*2π)/2955 weeks
66-.01136 -.00886 (66*2π)/2954 weeks
67.05051 .00987 (67*2π)/2954 weeks
68.01475 .02147 (68*2π)/2954 weeks
69.01694 .00878 (69*2π)/2954 weeks
70.0088 .00071 (70*2π)/2954 weeks
71-.0112 -.00788 (71*2π)/2954 weeks
72.0214 .04885 (72*2π)/2954 weeks
73-.00169 -.00572 (73*2π)/2954 weeks
74-.02029 .00509 (74*2π)/2954 weeks
75.01297 .01825 (75*2π)/2954 weeks
76-.00258 .01961 (76*2π)/2954 weeks
77.01727 .00961 (77*2π)/2954 weeks
78-.00172 -.01702 (78*2π)/2954 weeks
79-.0108 .00264 (79*2π)/2954 weeks
80.00296 -.01127 (80*2π)/2954 weeks
81.02147 -.0122 (81*2π)/2954 weeks
82.00608 -.02224 (82*2π)/2954 weeks
83.00831 -.01874 (83*2π)/2954 weeks
84-.00736 .01874 (84*2π)/2954 weeks
85.01075 -.02019 (85*2π)/2953 weeks
86.01586 .00181 (86*2π)/2953 weeks
87-.00517 .00954 (87*2π)/2953 weeks
88.00779 .01434 (88*2π)/2953 weeks
89.011 .00426 (89*2π)/2953 weeks
90.00219 .02428 (90*2π)/2953 weeks
91.00228 -.01677 (91*2π)/2953 weeks
92.03796 .00754 (92*2π)/2953 weeks
93.00251 .00605 (93*2π)/2953 weeks
94-.0097 -.00246 (94*2π)/2953 weeks
95.00591 .00975 (95*2π)/2953 weeks
96.01448 .00099 (96*2π)/2953 weeks
97.02521 -.01571 (97*2π)/2953 weeks
98.02173 -.00495 (98*2π)/2953 weeks
99.02778 .01269 (99*2π)/2953 weeks
100.02283 -.01654 (100*2π)/2953 weeks
101.02638 -.01051 (101*2π)/2953 weeks
102-.00474 .0313 (102*2π)/2953 weeks
103.03133 .01257 (103*2π)/2953 weeks
104.00481 .00578 (104*2π)/2953 weeks
105-.0171 .05507 (105*2π)/2953 weeks
106.00194 .0098 (106*2π)/2953 weeks
107.01847 .02248 (107*2π)/2953 weeks
108-.01234 .02238 (108*2π)/2953 weeks
109-.00928 -.00341 (109*2π)/2953 weeks
110-.00305 .00932 (110*2π)/2953 weeks
111.00711 .00433 (111*2π)/2953 weeks
112.00141 -.00486 (112*2π)/2953 weeks
113.00309 -.00516 (113*2π)/2953 weeks
114.01869 .01547 (114*2π)/2953 weeks
115-.03084 -.02085 (115*2π)/2953 weeks
116.00475 .0048 (116*2π)/2953 weeks
117.01112 -.00773 (117*2π)/2953 weeks
118-.00282 -.00361 (118*2π)/2953 weeks
119.02736 -.00185 (119*2π)/2952 weeks
120.01671 .00954 (120*2π)/2952 weeks
121-.0005 .00852 (121*2π)/2952 weeks
122.01487 -.00027 (122*2π)/2952 weeks
123-.0158 -.00297 (123*2π)/2952 weeks
124-.00331 .01834 (124*2π)/2952 weeks
125.01935 .00993 (125*2π)/2952 weeks
126.00101 .01149 (126*2π)/2952 weeks
127-.00053 .01245 (127*2π)/2952 weeks
128.01699 .02607 (128*2π)/2952 weeks
129.01048 .01522 (129*2π)/2952 weeks
130.00172 -.01793 (130*2π)/2952 weeks
131-.00438 -.00825 (131*2π)/2952 weeks
132.0082 -.00768 (132*2π)/2952 weeks
133-.00544 -.01895 (133*2π)/2952 weeks
134.00242 -.00219 (134*2π)/2952 weeks
135-.00573 .00481 (135*2π)/2952 weeks
136.0093 .01438 (136*2π)/2952 weeks
137.01985 -.01764 (137*2π)/2952 weeks
138.00585 -.01473 (138*2π)/2952 weeks
139.00525 -.01429 (139*2π)/2952 weeks
140.00709 .00313 (140*2π)/2952 weeks
141.01304 .02516 (141*2π)/2952 weeks
142.01576 -.00609 (142*2π)/2952 weeks
143.02203 -.04764 (143*2π)/2952 weeks
144.00362 -.00167 (144*2π)/2952 weeks
145.0198 .00439 (145*2π)/2952 weeks
146.02822 -.0252 (146*2π)/2952 weeks
147-.00136 -.00913 (147*2π)/2952 weeks
148-.00136 .00913 (148*2π)/2952 weeks
149.02822 .0252 (149*2π)/2952 weeks
150.0198 -.00439 (150*2π)/2952 weeks
151.00362 .00167 (151*2π)/2952 weeks
152.02203 .04764 (152*2π)/2952 weeks
153.01576 .00609 (153*2π)/2952 weeks
154.01304 -.02516 (154*2π)/2952 weeks
155.00709 -.00313 (155*2π)/2952 weeks
156.00525 .01429 (156*2π)/2952 weeks
157.00585 .01473 (157*2π)/2952 weeks
158.01985 .01764 (158*2π)/2952 weeks
159.0093 -.01438 (159*2π)/2952 weeks
160-.00573 -.00481 (160*2π)/2952 weeks
161.00242 .00219 (161*2π)/2952 weeks
162-.00544 .01895 (162*2π)/2952 weeks
163.0082 .00768 (163*2π)/2952 weeks
164-.00438 .00825 (164*2π)/2952 weeks
165.00172 .01793 (165*2π)/2952 weeks
166.01048 -.01522 (166*2π)/2952 weeks
167.01699 -.02607 (167*2π)/2952 weeks
168-.00053 -.01245 (168*2π)/2952 weeks
169.00101 -.01149 (169*2π)/2952 weeks
170.01935 -.00993 (170*2π)/2952 weeks
171-.00331 -.01834 (171*2π)/2952 weeks
172-.0158 .00297 (172*2π)/2952 weeks
173.01487 .00027 (173*2π)/2952 weeks
174-.0005 -.00852 (174*2π)/2952 weeks
175.01671 -.00954 (175*2π)/2952 weeks
176.02736 .00185 (176*2π)/2952 weeks
177-.00282 .00361 (177*2π)/2952 weeks
178.01112 .00773 (178*2π)/2952 weeks
179.00475 -.0048 (179*2π)/2952 weeks
180-.03084 .02085 (180*2π)/2952 weeks
181.01869 -.01547 (181*2π)/2952 weeks
182.00309 .00516 (182*2π)/2952 weeks
183.00141 .00486 (183*2π)/2952 weeks
184.00711 -.00433 (184*2π)/2952 weeks
185-.00305 -.00932 (185*2π)/2952 weeks
186-.00928 .00341 (186*2π)/2952 weeks
187-.01234 -.02238 (187*2π)/2952 weeks
188.01847 -.02248 (188*2π)/2952 weeks
189.00194 -.0098 (189*2π)/2952 weeks
190-.0171 -.05507 (190*2π)/2952 weeks
191.00481 -.00578 (191*2π)/2952 weeks
192.03133 -.01257 (192*2π)/2952 weeks
193-.00474 -.0313 (193*2π)/2952 weeks
194.02638 .01051 (194*2π)/2952 weeks
195.02283 .01654 (195*2π)/2952 weeks
196.02778 -.01269 (196*2π)/2952 weeks
197.02173 .00495 (197*2π)/2951 weeks
198.02521 .01571 (198*2π)/2951 weeks
199.01448 -.00099 (199*2π)/2951 weeks
200.00591 -.00975 (200*2π)/2951 weeks
201-.0097 .00246 (201*2π)/2951 weeks
202.00251 -.00605 (202*2π)/2951 weeks
203.03796 -.00754 (203*2π)/2951 weeks
204.00228 .01677 (204*2π)/2951 weeks
205.00219 -.02428 (205*2π)/2951 weeks
206.011 -.00426 (206*2π)/2951 weeks
207.00779 -.01434 (207*2π)/2951 weeks
208-.00517 -.00954 (208*2π)/2951 weeks
209.01586 -.00181 (209*2π)/2951 weeks
210.01075 .02019 (210*2π)/2951 weeks
211-.00736 -.01874 (211*2π)/2951 weeks
212.00831 .01874 (212*2π)/2951 weeks
213.00608 .02224 (213*2π)/2951 weeks
214.02147 .0122 (214*2π)/2951 weeks
215.00296 .01127 (215*2π)/2951 weeks
216-.0108 -.00264 (216*2π)/2951 weeks
217-.00172 .01702 (217*2π)/2951 weeks
218.01727 -.00961 (218*2π)/2951 weeks
219-.00258 -.01961 (219*2π)/2951 weeks
220.01297 -.01825 (220*2π)/2951 weeks
221-.02029 -.00509 (221*2π)/2951 weeks
222-.00169 .00572 (222*2π)/2951 weeks
223.0214 -.04885 (223*2π)/2951 weeks
224-.0112 .00788 (224*2π)/2951 weeks
225.0088 -.00071 (225*2π)/2951 weeks
226.01694 -.00878 (226*2π)/2951 weeks
227.01475 -.02147 (227*2π)/2951 weeks
228.05051 -.00987 (228*2π)/2951 weeks
229-.01136 .00886 (229*2π)/2951 weeks
230-.00689 -.03474 (230*2π)/2951 weeks
231.01495 .01114 (231*2π)/2951 weeks
232.00345 -.00109 (232*2π)/2951 weeks
233.0233 -.04462 (233*2π)/2951 weeks
234.02193 -.01926 (234*2π)/2951 weeks
235-.00732 .02621 (235*2π)/2951 weeks
236.017 .03747 (236*2π)/2951 weeks
237.02064 -.00677 (237*2π)/2951 weeks
238-.02813 -.01146 (238*2π)/2951 weeks
239.00797 .02245 (239*2π)/2951 weeks
240.0317 .04144 (240*2π)/2951 weeks
241.07598 -.04663 (241*2π)/2951 weeks
242.02829 -.02343 (242*2π)/2951 weeks
243-.03966 -.02727 (243*2π)/2951 weeks
244.05118 -.01516 (244*2π)/2951 weeks
245.00908 .02221 (245*2π)/2951 weeks
246.02877 .00917 (246*2π)/2951 weeks
247.03526 -.02996 (247*2π)/2951 weeks
248-.00169 -.04173 (248*2π)/2951 weeks
249.05602 .00976 (249*2π)/2951 weeks
250.01761 .02812 (250*2π)/2951 weeks
251-.00234 .06353 (251*2π)/2951 weeks
252-.00403 .0145 (252*2π)/2951 weeks
253-.01261 .00122 (253*2π)/2951 weeks
254-.03307 -.00318 (254*2π)/2951 weeks
255.00443 -.00878 (255*2π)/2951 weeks
256-.00232 -.00516 (256*2π)/2951 weeks
257.0441 .01394 (257*2π)/2951 weeks
258-.00731 .00934 (258*2π)/2951 weeks
259-.03576 .02367 (259*2π)/2951 weeks
260.00721 -.05982 (260*2π)/2951 weeks
261-.02069 -.04807 (261*2π)/2951 weeks
262-.03663 -.05784 (262*2π)/2951 weeks
263.00609 -.08401 (263*2π)/2951 weeks
264.03592 -.00204 (264*2π)/2951 weeks
265-.05847 -.02473 (265*2π)/2951 weeks
266.02805 -.06222 (266*2π)/2951 weeks
267-.00045 .02443 (267*2π)/2951 weeks
268-.03574 .00749 (268*2π)/2951 weeks
269.07356 -.17008 (269*2π)/2951 weeks
270-.04199 .00394 (270*2π)/2951 weeks
271.0867 -.09112 (271*2π)/2951 weeks
272.10433 -.09487 (272*2π)/2951 weeks
273-.02143 -.0078 (273*2π)/2951 weeks
274-.0364 -.08586 (274*2π)/2951 weeks
275.06125 -.07689 (275*2π)/2951 weeks
276.00707 .00996 (276*2π)/2951 weeks
277-.03618 .04371 (277*2π)/2951 weeks
278.08469 -.04235 (278*2π)/2951 weeks
279.14495 -.02763 (279*2π)/2951 weeks
280-.05737 -.00822 (280*2π)/2951 weeks
281-.23817 .017 (281*2π)/2951 weeks
282-.03037 .01618 (282*2π)/2951 weeks
283.19749 -.0722 (283*2π)/2951 weeks
284.11057 -.20457 (284*2π)/2951 weeks
285.25872 -.03869 (285*2π)/2951 weeks
286.13965 .11359 (286*2π)/2951 weeks
287.15639 -.23716 (287*2π)/2951 weeks
288.1372 .30633 (288*2π)/2951 weeks
289.04685 -.19348 (289*2π)/2951 weeks
290-.45822 -.16039 (290*2π)/2951 weeks
291-.11689 -.2559 (291*2π)/2951 weeks
292.24976 .2553 (292*2π)/2951 weeks
293.17339 -.37704 (293*2π)/2951 weeks

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