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Fourier Analysis of SIEB (Siebert Financial Corp.)


SIEB (Siebert Financial Corp.) appears to have interesting cyclic behaviour every 192 weeks (.8008*sine), 160 weeks (.7387*sine), and 175 weeks (.6398*sine).

SIEB (Siebert Financial Corp.) has an average price of 3.29 (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 3/18/1980 to 1/17/2017 for SIEB (Siebert Financial Corp.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
03.2866   0 
1-2.163 .54128 (1*2π)/19221,922 weeks
2.72643 .21678 (2*2π)/1922961 weeks
3-1.00581 -.32163 (3*2π)/1922641 weeks
4.66383 .22742 (4*2π)/1922481 weeks
5-.46006 -.79733 (5*2π)/1922384 weeks
6.28318 .6956 (6*2π)/1922320 weeks
7-.26579 -.78348 (7*2π)/1922275 weeks
8.18549 .85001 (8*2π)/1922240 weeks
9-.10287 -.81243 (9*2π)/1922214 weeks
10-.13454 .8008 (10*2π)/1922192 weeks
11.17041 -.63981 (11*2π)/1922175 weeks
12.16717 .73875 (12*2π)/1922160 weeks
13-.07233 -.54891 (13*2π)/1922148 weeks
14-.07907 .56293 (14*2π)/1922137 weeks
15.12001 -.46416 (15*2π)/1922128 weeks
16-.01542 .33859 (16*2π)/1922120 weeks
17.0682 -.25344 (17*2π)/1922113 weeks
18-.13487 -.05157 (18*2π)/1922107 weeks
19.17459 -.01383 (19*2π)/1922101 weeks
20-.1238 -.10673 (20*2π)/192296 weeks
21.16501 .15201 (21*2π)/192292 weeks
22-.16548 -.11844 (22*2π)/192287 weeks
23.22752 .09765 (23*2π)/192284 weeks
24-.30209 -.07824 (24*2π)/192280 weeks
25.3517 .16421 (25*2π)/192277 weeks
26-.2275 -.11616 (26*2π)/192274 weeks
27.25952 .12849 (27*2π)/192271 weeks
28-.29344 -.18562 (28*2π)/192269 weeks
29.23988 .09286 (29*2π)/192266 weeks
30-.09137 -.12315 (30*2π)/192264 weeks
31.15164 .07256 (31*2π)/192262 weeks
32-.07779 -.11299 (32*2π)/192260 weeks
33.03945 .16222 (33*2π)/192258 weeks
34-.12438 -.23129 (34*2π)/192257 weeks
35.09985 .2113 (35*2π)/192255 weeks
36-.00403 -.2657 (36*2π)/192253 weeks
37.03253 .34288 (37*2π)/192252 weeks
38-.06062 -.27497 (38*2π)/192251 weeks
39.02937 .26073 (39*2π)/192249 weeks
40-.00819 -.28081 (40*2π)/192248 weeks
41.09064 .21768 (41*2π)/192247 weeks
42-.08369 -.25438 (42*2π)/192246 weeks
43.07131 .24981 (43*2π)/192245 weeks
44-.01087 -.25556 (44*2π)/192244 weeks
45-.00437 .18699 (45*2π)/192243 weeks
46.00831 -.18584 (46*2π)/192242 weeks
47.00324 .15453 (47*2π)/192241 weeks
48.00231 -.15671 (48*2π)/192240 weeks
49-.0171 .13094 (49*2π)/192239 weeks
50.07312 -.13209 (50*2π)/192238 weeks
51-.05743 .16011 (51*2π)/192238 weeks
52.10069 -.11223 (52*2π)/192237 weeks
53-.0862 .0343 (53*2π)/192236 weeks
54.10275 -.02079 (54*2π)/192236 weeks
55-.02715 -.02054 (55*2π)/192235 weeks
56.04768 -.02268 (56*2π)/192234 weeks
57-.0821 -.00152 (57*2π)/192234 weeks
58.09962 -.01922 (58*2π)/192233 weeks
59-.10132 -.04667 (59*2π)/192233 weeks
60.07999 .02866 (60*2π)/192232 weeks
61-.04729 -.00581 (61*2π)/192232 weeks
62.0204 -.00462 (62*2π)/192231 weeks
63-.03161 -.02477 (63*2π)/192231 weeks
64.02503 -.0095 (64*2π)/192230 weeks
65.048 .03448 (65*2π)/192230 weeks
66-.00179 -.00732 (66*2π)/192229 weeks
67-.00114 -.0483 (67*2π)/192229 weeks
68-.00646 .03909 (68*2π)/192228 weeks
69.0438 -.06731 (69*2π)/192228 weeks
70.00435 .06152 (70*2π)/192227 weeks
71.01413 -.09141 (71*2π)/192227 weeks
72.00281 .08523 (72*2π)/192227 weeks
73-.0058 -.11748 (73*2π)/192226 weeks
74.03787 .08284 (74*2π)/192226 weeks
75-.03668 -.08383 (75*2π)/192226 weeks
76.04454 .08319 (76*2π)/192225 weeks
77-.0314 -.07506 (77*2π)/192225 weeks
78.01833 .02695 (78*2π)/192225 weeks
79.01694 -.03219 (79*2π)/192224 weeks
80-.00219 .02204 (80*2π)/192224 weeks
81.0171 -.0243 (81*2π)/192224 weeks
82-.00579 .00814 (82*2π)/192223 weeks
83.01605 -.01655 (83*2π)/192223 weeks
84.02349 .01612 (84*2π)/192223 weeks
85-.00244 -.02785 (85*2π)/192223 weeks
86.0041 .03598 (86*2π)/192222 weeks
87-.01853 -.05413 (87*2π)/192222 weeks
88.03256 .01556 (88*2π)/192222 weeks
89-.01223 -.0395 (89*2π)/192222 weeks
90.05319 .03448 (90*2π)/192221 weeks
91-.0392 -.04621 (91*2π)/192221 weeks
92.01524 .04109 (92*2π)/192221 weeks
93-.00505 -.08922 (93*2π)/192221 weeks
94-.00617 .07265 (94*2π)/192220 weeks
95.01828 -.07444 (95*2π)/192220 weeks
96-.01082 .07213 (96*2π)/192220 weeks
97-.00214 -.06096 (97*2π)/192220 weeks
98-.0101 .01999 (98*2π)/192220 weeks
99.02717 -.02918 (99*2π)/192219 weeks
100.0023 .01511 (100*2π)/192219 weeks
101.02576 -.00723 (101*2π)/192219 weeks
102-.01875 -.03668 (102*2π)/192219 weeks
103.02106 .01782 (103*2π)/192219 weeks
104-.0141 -.0611 (104*2π)/192218 weeks
105.02906 .06535 (105*2π)/192218 weeks
106-.03253 -.07481 (106*2π)/192218 weeks
107.01351 .04649 (107*2π)/192218 weeks
108-.0231 -.07519 (108*2π)/192218 weeks
109.0231 .03872 (109*2π)/192218 weeks
110-.01573 -.0362 (110*2π)/192217 weeks
111.02706 .03564 (111*2π)/192217 weeks
112-.01152 -.05294 (112*2π)/192217 weeks
113.01254 .01847 (113*2π)/192217 weeks
114-.00031 -.03687 (114*2π)/192217 weeks
115-.01541 .00872 (115*2π)/192217 weeks
116.04851 -.01966 (116*2π)/192217 weeks
117-.06289 -.00095 (117*2π)/192216 weeks
118.04517 -.00833 (118*2π)/192216 weeks
119-.03034 .0196 (119*2π)/192216 weeks
120.0423 -.04892 (120*2π)/192216 weeks
121-.04722 .01135 (121*2π)/192216 weeks
122.01473 -.01647 (122*2π)/192216 weeks
123.01807 .00805 (123*2π)/192216 weeks
124-.0183 -.018 (124*2π)/192216 weeks
125.04715 -.00687 (125*2π)/192215 weeks
126-.05204 -.0207 (126*2π)/192215 weeks
127.06567 .02107 (127*2π)/192215 weeks
128-.05121 -.05042 (128*2π)/192215 weeks
129.05115 .03885 (129*2π)/192215 weeks
130-.06741 -.0228 (130*2π)/192215 weeks
131.05783 .00793 (131*2π)/192215 weeks
132-.05243 -.06221 (132*2π)/192215 weeks
133.03392 .0449 (133*2π)/192214 weeks
134-.01415 -.04852 (134*2π)/192214 weeks
135.01223 .05683 (135*2π)/192214 weeks
136.00005 -.06681 (136*2π)/192214 weeks
137.0071 .05573 (137*2π)/192214 weeks
138.00611 -.07058 (138*2π)/192214 weeks
139-.00008 .04721 (139*2π)/192214 weeks
140.00447 -.05227 (140*2π)/192214 weeks
141.00054 .05078 (141*2π)/192214 weeks
142.0032 -.05986 (142*2π)/192214 weeks
143-.00679 .0299 (143*2π)/192213 weeks
144-.00305 -.045 (144*2π)/192213 weeks
145-.01187 .02628 (145*2π)/192213 weeks
146.02047 -.05311 (146*2π)/192213 weeks
147-.01552 .04111 (147*2π)/192213 weeks
148.00988 -.05614 (148*2π)/192213 weeks
149.01547 .04517 (149*2π)/192213 weeks
150-.01564 -.05003 (150*2π)/192213 weeks
151.00187 .02354 (151*2π)/192213 weeks
152-.00974 -.03503 (152*2π)/192213 weeks
153.0078 .00983 (153*2π)/192213 weeks
154-.00223 -.02709 (154*2π)/192212 weeks
155-.01557 .01948 (155*2π)/192212 weeks
156.0096 -.02964 (156*2π)/192212 weeks
157-.03582 -.00509 (157*2π)/192212 weeks
158.03856 .0093 (158*2π)/192212 weeks
159-.03865 .0071 (159*2π)/192212 weeks
160.06508 -.01785 (160*2π)/192212 weeks
161-.05463 .00658 (161*2π)/192212 weeks
162.06387 -.01014 (162*2π)/192212 weeks
163-.07647 -.00746 (163*2π)/192212 weeks
164.06998 .01289 (164*2π)/192212 weeks
165-.05213 -.02749 (165*2π)/192212 weeks
166.03924 .01622 (166*2π)/192212 weeks
167-.02267 -.03934 (167*2π)/192212 weeks
168-.00046 .02603 (168*2π)/192211 weeks
169-.00504 -.05221 (169*2π)/192211 weeks
170-.00895 .05643 (170*2π)/192211 weeks
171.02116 -.07741 (171*2π)/192211 weeks
172-.02019 .05553 (172*2π)/192211 weeks
173.03081 -.06182 (173*2π)/192211 weeks
174-.01527 .04683 (174*2π)/192211 weeks
175.01646 -.05547 (175*2π)/192211 weeks
176-.02739 .05371 (176*2π)/192211 weeks
177.01972 -.06703 (177*2π)/192211 weeks
178-.01381 .03399 (178*2π)/192211 weeks
179.01834 -.04669 (179*2π)/192211 weeks
180-.04207 .03194 (180*2π)/192211 weeks
181.03202 -.03717 (181*2π)/192211 weeks
182-.03485 .02475 (182*2π)/192211 weeks
183.0261 -.03338 (183*2π)/192211 weeks
184-.02597 .03869 (184*2π)/192210 weeks
185.05379 -.03398 (185*2π)/192210 weeks
186-.05233 .02155 (186*2π)/192210 weeks
187.04163 -.02018 (187*2π)/192210 weeks
188-.05924 .01319 (188*2π)/192210 weeks
189.0642 -.02132 (189*2π)/192210 weeks
190-.06033 -.00968 (190*2π)/192210 weeks
191.05228 .00032 (191*2π)/192210 weeks
192-.06495 -.00988 (192*2π)/192210 weeks
193.05925 .00026 (193*2π)/192210 weeks
194-.06339 -.01445 (194*2π)/192210 weeks
195.05928 .00964 (195*2π)/192210 weeks
196-.05062 -.01902 (196*2π)/192210 weeks
197.0361 .02123 (197*2π)/192210 weeks
198-.04533 -.03506 (198*2π)/192210 weeks
199.04115 .03053 (199*2π)/192210 weeks
200-.0207 -.03232 (200*2π)/192210 weeks
201.02126 .01712 (201*2π)/192210 weeks
202-.02158 -.04426 (202*2π)/192210 weeks
203.00126 .03253 (203*2π)/19229 weeks
204-.00349 -.04592 (204*2π)/19229 weeks
205-.01268 .04089 (205*2π)/19229 weeks
206.01919 -.05944 (206*2π)/19229 weeks
207-.02873 .06744 (207*2π)/19229 weeks
208.03023 -.06752 (208*2π)/19229 weeks
209-.03473 .04895 (209*2π)/19229 weeks
210.03055 -.04717 (210*2π)/19229 weeks
211-.01353 .02859 (211*2π)/19229 weeks
212.01741 -.01517 (212*2π)/19229 weeks
213-.033 -.00622 (213*2π)/19229 weeks
214.02736 -.00233 (214*2π)/19229 weeks
215-.03769 -.01629 (215*2π)/19229 weeks
216.02511 .00871 (216*2π)/19229 weeks
217-.01875 -.00987 (217*2π)/19229 weeks
218.01427 .01301 (218*2π)/19229 weeks
219-.01879 -.02717 (219*2π)/19229 weeks
220.02217 .02253 (220*2π)/19229 weeks
221-.01558 -.02223 (221*2π)/19229 weeks
222.01247 .0063 (222*2π)/19229 weeks
223-.00528 -.00754 (223*2π)/19229 weeks
224.00324 -.01035 (224*2π)/19229 weeks
225-.00386 .00719 (225*2π)/19229 weeks
226.00659 -.02246 (226*2π)/19229 weeks
227-.02557 .00714 (227*2π)/19228 weeks
228.01103 -.01227 (228*2π)/19228 weeks
229-.00992 .00779 (229*2π)/19228 weeks
230.00656 -.01184 (230*2π)/19228 weeks
231-.01223 .00299 (231*2π)/19228 weeks
232.01943 .00299 (232*2π)/19228 weeks
233-.02631 -.00915 (233*2π)/19228 weeks
234.02066 .0086 (234*2π)/19228 weeks
235-.01006 -.00964 (235*2π)/19228 weeks
236.01867 -.0007 (236*2π)/19228 weeks
237-.01885 -.02189 (237*2π)/19228 weeks
238.01691 .01207 (238*2π)/19228 weeks
239-.01952 -.0261 (239*2π)/19228 weeks
240.01338 .02391 (240*2π)/19228 weeks
241-.01797 -.04065 (241*2π)/19228 weeks
242-.00489 .02727 (242*2π)/19228 weeks
243.00126 -.02999 (243*2π)/19228 weeks
244-.00524 .02224 (244*2π)/19228 weeks
245-.00914 -.01705 (245*2π)/19228 weeks
246-.00533 .02473 (246*2π)/19228 weeks
247.00281 -.01993 (247*2π)/19228 weeks
248.0062 .00382 (248*2π)/19228 weeks
249.00819 -.0055 (249*2π)/19228 weeks
250-.00181 .00398 (250*2π)/19228 weeks
251.00802 -.01334 (251*2π)/19228 weeks
252-.01338 -.01621 (252*2π)/19228 weeks
253.01782 -.00821 (253*2π)/19228 weeks
254-.02994 .00767 (254*2π)/19228 weeks
255.02036 -.02296 (255*2π)/19228 weeks
256-.03539 .02035 (256*2π)/19228 weeks
257.00701 -.01823 (257*2π)/19227 weeks
258-.01317 .01508 (258*2π)/19227 weeks
259.023 -.0161 (259*2π)/19227 weeks
260-.01779 .02069 (260*2π)/19227 weeks
261.01341 -.0269 (261*2π)/19227 weeks
262-.01246 .02104 (262*2π)/19227 weeks
263.00019 -.03713 (263*2π)/19227 weeks
264.00333 .01982 (264*2π)/19227 weeks
265.01044 -.00931 (265*2π)/19227 weeks
266-.01942 -.00852 (266*2π)/19227 weeks
267.00999 .00442 (267*2π)/19227 weeks
268-.02915 -.00711 (268*2π)/19227 weeks
269.02959 .00007 (269*2π)/19227 weeks
270-.02633 .00712 (270*2π)/19227 weeks
271.0272 -.00284 (271*2π)/19227 weeks
272-.03708 -.00899 (272*2π)/19227 weeks
273.03249 -.00243 (273*2π)/19227 weeks
274-.02623 -.00432 (274*2π)/19227 weeks
275.02561 .00289 (275*2π)/19227 weeks
276-.02085 -.0137 (276*2π)/19227 weeks
277.01562 .00393 (277*2π)/19227 weeks
278-.02175 -.01819 (278*2π)/19227 weeks
279.01595 .02106 (279*2π)/19227 weeks
280-.01169 -.02774 (280*2π)/19227 weeks
281-.00999 .0183 (281*2π)/19227 weeks
282-.00096 -.02326 (282*2π)/19227 weeks
283-.01035 .0287 (283*2π)/19227 weeks
284.00736 -.03247 (284*2π)/19227 weeks
285-.0044 .02354 (285*2π)/19227 weeks
286.00693 -.01521 (286*2π)/19227 weeks
287-.00864 .00115 (287*2π)/19227 weeks
288.01901 -.0101 (288*2π)/19227 weeks
289-.02759 .00787 (289*2π)/19227 weeks
290.03047 -.02122 (290*2π)/19227 weeks
291-.03273 .01932 (291*2π)/19227 weeks
292.02204 -.02579 (292*2π)/19227 weeks
293-.02157 .01694 (293*2π)/19227 weeks
294.02121 -.01336 (294*2π)/19227 weeks
295-.01934 .00448 (295*2π)/19227 weeks
296.0045 -.01338 (296*2π)/19226 weeks
297-.01034 .00541 (297*2π)/19226 weeks
298.01261 -.00445 (298*2π)/19226 weeks
299-.00801 -.00648 (299*2π)/19226 weeks
300.01167 .00691 (300*2π)/19226 weeks
301-.01332 -.0142 (301*2π)/19226 weeks
302.01811 .00106 (302*2π)/19226 weeks
303-.02537 -.01022 (303*2π)/19226 weeks
304.01333 .00555 (304*2π)/19226 weeks
305-.02942 -.01441 (305*2π)/19226 weeks
306.02022 .00733 (306*2π)/19226 weeks
307-.02435 -.00919 (307*2π)/19226 weeks
308.0162 .00695 (308*2π)/19226 weeks
309-.01299 .00028 (309*2π)/19226 weeks
310.00115 -.00701 (310*2π)/19226 weeks
311.00861 .0024 (311*2π)/19226 weeks
312-.00685 -.00919 (312*2π)/19226 weeks
313.01041 -.00167 (313*2π)/19226 weeks
314-.01562 -.00321 (314*2π)/19226 weeks
315.00672 .00349 (315*2π)/19226 weeks
316-.01415 -.01729 (316*2π)/19226 weeks
317.00704 .01012 (317*2π)/19226 weeks
318-.01146 -.01514 (318*2π)/19226 weeks
319-.00111 .01682 (319*2π)/19226 weeks
320-.00134 -.0139 (320*2π)/19226 weeks
321-.00555 .00573 (321*2π)/19226 weeks
322.01093 -.01529 (322*2π)/19226 weeks
323-.01291 .00445 (323*2π)/19226 weeks
324.0131 -.00716 (324*2π)/19226 weeks
325-.02046 .00723 (325*2π)/19226 weeks
326.01742 -.0252 (326*2π)/19226 weeks
327-.022 .00982 (327*2π)/19226 weeks
328.00914 -.00708 (328*2π)/19226 weeks
329-.01725 .00562 (329*2π)/19226 weeks
330.01036 -.00478 (330*2π)/19226 weeks
331-.02488 -.01265 (331*2π)/19226 weeks
332.01321 .00761 (332*2π)/19226 weeks
333-.01776 -.00193 (333*2π)/19226 weeks
334.01412 .00545 (334*2π)/19226 weeks
335-.00643 -.0121 (335*2π)/19226 weeks
336-.01272 .01073 (336*2π)/19226 weeks
337.00825 -.0171 (337*2π)/19226 weeks
338-.00971 .01635 (338*2π)/19226 weeks
339.00527 -.01688 (339*2π)/19226 weeks
340-.00785 .01407 (340*2π)/19226 weeks
341.00431 -.02271 (341*2π)/19226 weeks
342-.0164 .01154 (342*2π)/19226 weeks
343.00294 -.0087 (343*2π)/19226 weeks
344-.00707 .02432 (344*2π)/19226 weeks
345.0126 -.03028 (345*2π)/19226 weeks
346-.01873 .02654 (346*2π)/19226 weeks
347.01188 -.0224 (347*2π)/19226 weeks
348-.00409 .01983 (348*2π)/19226 weeks
349.00585 -.01941 (349*2π)/19226 weeks
350-.01497 .01052 (350*2π)/19225 weeks
351.01617 -.01362 (351*2π)/19225 weeks
352-.01685 -.00081 (352*2π)/19225 weeks
353.01821 .00081 (353*2π)/19225 weeks
354-.02821 -.00349 (354*2π)/19225 weeks
355.02316 -.00344 (355*2π)/19225 weeks
356-.03405 .0027 (356*2π)/19225 weeks
357.02369 -.00002 (357*2π)/19225 weeks
358-.03236 -.00244 (358*2π)/19225 weeks
359.0328 .00308 (359*2π)/19225 weeks
360-.02983 -.0071 (360*2π)/19225 weeks
361.01645 .00437 (361*2π)/19225 weeks
362-.0197 .00281 (362*2π)/19225 weeks
363.02365 -.0007 (363*2π)/19225 weeks
364-.0196 -.00249 (364*2π)/19225 weeks
365.00618 -.00238 (365*2π)/19225 weeks
366-.00657 .00246 (366*2π)/19225 weeks
367.00319 .00975 (367*2π)/19225 weeks
368-.00023 -.01649 (368*2π)/19225 weeks
369.00127 .01353 (369*2π)/19225 weeks
370-.0054 -.01135 (370*2π)/19225 weeks
371.00493 .00395 (371*2π)/19225 weeks
372-.00978 -.00981 (372*2π)/19225 weeks
373.00763 .00951 (373*2π)/19225 weeks
374-.01482 -.0188 (374*2π)/19225 weeks
375.00995 .02321 (375*2π)/19225 weeks
376-.01479