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# Fourier Analysis of SNE (Sony Corporation Common Stock)

SNE (Sony Corporation Common Stock) appears to have interesting cyclic behaviour every 171 weeks (3.3504*cosine), 186 weeks (3.0448*sine), and 139 weeks (2.384*cosine).

SNE (Sony Corporation Common Stock) has an average price of 23.98 (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 7/26/1974 to 3/20/2017 for SNE (Sony Corporation Common Stock), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
023.98058   0
1-12.68238 -19.02559 (1*2π)/22262,226 weeks
2-.29056 4.58352 (2*2π)/22261,113 weeks
32.94803 -5.00378 (3*2π)/2226742 weeks
4-2.7621 2.74906 (4*2π)/2226557 weeks
56.41146 -2.93366 (5*2π)/2226445 weeks
6-1.63932 -5.03095 (6*2π)/2226371 weeks
7-.82717 3.25151 (7*2π)/2226318 weeks
83.24306 -4.23472 (8*2π)/2226278 weeks
9-2.43668 -1.22616 (9*2π)/2226247 weeks
10.67104 -.64509 (10*2π)/2226223 weeks
11-1.76796 -2.81727 (11*2π)/2226202 weeks
12-.73691 3.04478 (12*2π)/2226186 weeks
133.35042 -1.78396 (13*2π)/2226171 weeks
14-1.85726 -1.10064 (14*2π)/2226159 weeks
151.85389 -.62656 (15*2π)/2226148 weeks
16-2.38396 -2.28083 (16*2π)/2226139 weeks
17-.18407 1.87109 (17*2π)/2226131 weeks
181.33267 -1.7418 (18*2π)/2226124 weeks
19-1.33866 .19202 (19*2π)/2226117 weeks
201.79058 .17778 (20*2π)/2226111 weeks
21-1.26198 -1.62457 (21*2π)/2226106 weeks
22.29623 1.46378 (22*2π)/2226101 weeks
231.15746 -1.21621 (23*2π)/222697 weeks
24-.13534 -.65848 (24*2π)/222693 weeks
25.41886 -.95348 (25*2π)/222689 weeks
26-.2957 -.4927 (26*2π)/222686 weeks
27.15546 -.37565 (27*2π)/222682 weeks
28-.0059 -.88293 (28*2π)/222680 weeks
29-.28478 -.33588 (29*2π)/222677 weeks
30.31112 -.90198 (30*2π)/222674 weeks
31-1.2076 -.54549 (31*2π)/222672 weeks
32.24682 .31156 (32*2π)/222670 weeks
33-.3105 -.77468 (33*2π)/222667 weeks
34-.3164 .6379 (34*2π)/222665 weeks
351.08345 -.76324 (35*2π)/222664 weeks
36-.79124 -1.08019 (36*2π)/222662 weeks
37-.37589 .37653 (37*2π)/222660 weeks
38-.1086 -.4567 (38*2π)/222659 weeks
39-.21678 .10966 (39*2π)/222657 weeks
40.11929 -.46557 (40*2π)/222656 weeks
41-.74643 -.1986 (41*2π)/222654 weeks
42.2361 .817 (42*2π)/222653 weeks
43.89648 -.60463 (43*2π)/222652 weeks
44-.56214 -.59148 (44*2π)/222651 weeks
45.25842 .10946 (45*2π)/222649 weeks
46-.24388 -.37678 (46*2π)/222648 weeks
47-.1009 .17811 (47*2π)/222647 weeks
48.37921 -.26218 (48*2π)/222646 weeks
49-.02479 -.12375 (49*2π)/222645 weeks
50.15839 -.39611 (50*2π)/222645 weeks
51-.23173 -.21025 (51*2π)/222644 weeks
52-.03257 -.20926 (52*2π)/222643 weeks
53-.41533 .04123 (53*2π)/222642 weeks
54.40792 .31576 (54*2π)/222641 weeks
55.19589 -.71224 (55*2π)/222640 weeks
56-.40358 .07001 (56*2π)/222640 weeks
57.43781 -.01199 (57*2π)/222639 weeks
58-.6449 -.37751 (58*2π)/222638 weeks
59.3766 .63967 (59*2π)/222638 weeks
60.43721 -.53314 (60*2π)/222637 weeks
61-.4191 -.34784 (61*2π)/222636 weeks
62.38873 .19122 (62*2π)/222636 weeks
63-.15822 -.52695 (63*2π)/222635 weeks
64-.15687 .40073 (64*2π)/222635 weeks
65.51508 -.33433 (65*2π)/222634 weeks
66-.43765 -.17317 (66*2π)/222634 weeks
67.39781 .15311 (67*2π)/222633 weeks
68.06189 -.43521 (68*2π)/222633 weeks
69.11509 .11204 (69*2π)/222632 weeks
70.34114 -.59232 (70*2π)/222632 weeks
71-.74646 -.27507 (71*2π)/222631 weeks
72.33322 .46611 (72*2π)/222631 weeks
73.20359 -.5741 (73*2π)/222630 weeks
74-.32212 -.06874 (74*2π)/222630 weeks
75.40817 -.14936 (75*2π)/222630 weeks
76-.35671 -.48643 (76*2π)/222629 weeks
77-.0971 .38054 (77*2π)/222629 weeks
78.35044 -.37583 (78*2π)/222629 weeks
79-.40457 -.31785 (79*2π)/222628 weeks
80.1373 .15421 (80*2π)/222628 weeks
81-.19105 -.34957 (81*2π)/222627 weeks
82.01845 .28397 (82*2π)/222627 weeks
83.20956 -.20013 (83*2π)/222627 weeks
84-.12352 .02444 (84*2π)/222627 weeks
85.27174 -.20358 (85*2π)/222626 weeks
86-.16254 -.20224 (86*2π)/222626 weeks
87.12069 -.04515 (87*2π)/222626 weeks
88.08323 -.24698 (88*2π)/222625 weeks
89-.09078 -.05672 (89*2π)/222625 weeks
90-.13142 -.09952 (90*2π)/222625 weeks
91.05522 .0032 (91*2π)/222624 weeks
92.29485 -.01423 (92*2π)/222624 weeks
93.04163 -.49839 (93*2π)/222624 weeks
94-.16743 -.018 (94*2π)/222624 weeks
95.09242 -.07451 (95*2π)/222623 weeks
96-.12605 -.19509 (96*2π)/222623 weeks
97.19903 .04023 (97*2π)/222623 weeks
98.15602 -.44163 (98*2π)/222623 weeks
99-.41029 -.12916 (99*2π)/222622 weeks
100.18142 .07027 (100*2π)/222622 weeks
101-.08303 -.32356 (101*2π)/222622 weeks
102-.06665 .0298 (102*2π)/222622 weeks
103.17352 -.1926 (103*2π)/222622 weeks
104-.1812 -.21924 (104*2π)/222621 weeks
105.03674 -.12379 (105*2π)/222621 weeks
106-.142 -.15535 (106*2π)/222621 weeks
107-.13158 -.12793 (107*2π)/222621 weeks
108-.12297 .02367 (108*2π)/222621 weeks
109.09885 -.10955 (109*2π)/222620 weeks
110-.14854 .01052 (110*2π)/222620 weeks
111.10261 -.11832 (111*2π)/222620 weeks
112-.14448 -.18888 (112*2π)/222620 weeks
113-.08846 .12707 (113*2π)/222620 weeks
114.12064 -.08056 (114*2π)/222620 weeks
115-.10717 -.23915 (115*2π)/222619 weeks
116.06955 .08415 (116*2π)/222619 weeks
117-.13824 -.25322 (117*2π)/222619 weeks
118.03749 .13935 (118*2π)/222619 weeks
119.09001 -.17652 (119*2π)/222619 weeks
120-.18896 -.06333 (120*2π)/222619 weeks
121.23678 -.09486 (121*2π)/222618 weeks
122-.21008 -.20363 (122*2π)/222618 weeks
123-.15913 .05956 (123*2π)/222618 weeks
124.1956 -.00688 (124*2π)/222618 weeks
125.01245 -.08578 (125*2π)/222618 weeks
126.06701 -.0993 (126*2π)/222618 weeks
127.01234 -.19341 (127*2π)/222618 weeks
128-.09821 .03019 (128*2π)/222617 weeks
129.10041 -.10721 (129*2π)/222617 weeks
130.0284 -.17549 (130*2π)/222617 weeks
131-.04923 -.24033 (131*2π)/222617 weeks
132-.19803 .02533 (132*2π)/222617 weeks
133.02265 -.01031 (133*2π)/222617 weeks
134.13399 .02941 (134*2π)/222617 weeks
135.01347 -.22116 (135*2π)/222616 weeks
136-.0542 -.1962 (136*2π)/222616 weeks
137-.01519 -.06495 (137*2π)/222616 weeks
138-.2206 -.17146 (138*2π)/222616 weeks
139-.05771 .13351 (139*2π)/222616 weeks
140.12063 -.05551 (140*2π)/222616 weeks
141-.1515 -.14762 (141*2π)/222616 weeks
142.06746 .08027 (142*2π)/222616 weeks
143-.04955 -.2119 (143*2π)/222616 weeks
144-.01975 .15367 (144*2π)/222615 weeks
145.11268 -.17867 (145*2π)/222615 weeks
146-.03247 -.13009 (146*2π)/222615 weeks
147-.13461 -.02469 (147*2π)/222615 weeks
148.01558 -.0763 (148*2π)/222615 weeks
149.02336 -.06125 (149*2π)/222615 weeks
150-.06031 -.08661 (150*2π)/222615 weeks
151-.07888 -.08804 (151*2π)/222615 weeks
152-.06434 -.06215 (152*2π)/222615 weeks
153.00949 .0011 (153*2π)/222615 weeks
154-.10966 -.14513 (154*2π)/222614 weeks
155-.02022 .13336 (155*2π)/222614 weeks
156.10822 -.1482 (156*2π)/222614 weeks
157-.15508 -.11333 (157*2π)/222614 weeks
158-.00349 .04112 (158*2π)/222614 weeks
159.02566 -.05818 (159*2π)/222614 weeks
160-.05349 .03058 (160*2π)/222614 weeks
161.16319 -.05222 (161*2π)/222614 weeks
162-.09864 -.25249 (162*2π)/222614 weeks
163-.08079 .09927 (163*2π)/222614 weeks
164.08207 -.03564 (164*2π)/222614 weeks
165-.03619 -.12655 (165*2π)/222613 weeks
166-.02921 -.04406 (166*2π)/222613 weeks
167-.05512 -.03941 (167*2π)/222613 weeks
168.00059 -.06843 (168*2π)/222613 weeks
169-.03703 -.04946 (169*2π)/222613 weeks
170-.05726 .00723 (170*2π)/222613 weeks
171.09022 -.08599 (171*2π)/222613 weeks
172-.15421 -.06797 (172*2π)/222613 weeks
173.1218 .01534 (173*2π)/222613 weeks
174-.08459 -.16661 (174*2π)/222613 weeks
175-.07724 .01435 (175*2π)/222613 weeks
176.05976 -.02882 (176*2π)/222613 weeks
177-.17105 .02763 (177*2π)/222613 weeks
178.12002 .01449 (178*2π)/222613 weeks
179-.0329 -.12036 (179*2π)/222612 weeks
180.03215 .10386 (180*2π)/222612 weeks
181.16929 -.23305 (181*2π)/222612 weeks
182-.18201 -.01244 (182*2π)/222612 weeks
183.09767 .03993 (183*2π)/222612 weeks
184.01951 -.13834 (184*2π)/222612 weeks
185-.0072 -.1435 (185*2π)/222612 weeks
186-.08077 -.07372 (186*2π)/222612 weeks
187-.04017 -.03614 (187*2π)/222612 weeks
188.04523 -.0152 (188*2π)/222612 weeks
189.03341 -.18018 (189*2π)/222612 weeks
190-.19557 -.10987 (190*2π)/222612 weeks
191-.03681 .03036 (191*2π)/222612 weeks
192-.07521 -.06935 (192*2π)/222612 weeks
193-.00282 .04003 (193*2π)/222612 weeks
194.00863 -.03362 (194*2π)/222611 weeks
195-.00177 -.00448 (195*2π)/222611 weeks
196-.03685 -.03271 (196*2π)/222611 weeks
197-.05095 .00038 (197*2π)/222611 weeks
198.08408 .00116 (198*2π)/222611 weeks
199-.00539 -.08323 (199*2π)/222611 weeks
200-.041 -.06479 (200*2π)/222611 weeks
201-.00657 .07644 (201*2π)/222611 weeks
202.08729 -.04452 (202*2π)/222611 weeks
203-.03761 -.05313 (203*2π)/222611 weeks
204.10524 -.07527 (204*2π)/222611 weeks
205-.06687 -.15235 (205*2π)/222611 weeks
206-.07533 .03581 (206*2π)/222611 weeks
207.10374 -.02015 (207*2π)/222611 weeks
208.01195 -.13209 (208*2π)/222611 weeks
209-.09778 -.04874 (209*2π)/222611 weeks
210.03574 -.01479 (210*2π)/222611 weeks
211-.00202 -.09641 (211*2π)/222611 weeks
212-.06144 .00201 (212*2π)/222611 weeks
213.06237 -.09009 (213*2π)/222610 weeks
214-.0657 -.01992 (214*2π)/222610 weeks
215-.01852 -.09374 (215*2π)/222610 weeks
216-.05791 .02298 (216*2π)/222610 weeks
217.10037 -.00318 (217*2π)/222610 weeks
218-.03764 -.098 (218*2π)/222610 weeks
219.09316 -.01728 (219*2π)/222610 weeks
220-.05283 -.12196 (220*2π)/222610 weeks
221-.02064 -.0504 (221*2π)/222610 weeks
222-.02388 -.09657 (222*2π)/222610 weeks
223-.08984 -.02161 (223*2π)/222610 weeks
224.06766 .0083 (224*2π)/222610 weeks
225.01167 -.14498 (225*2π)/222610 weeks
226-.06665 -.0691 (226*2π)/222610 weeks
227-.02969 -.08105 (227*2π)/222610 weeks
228-.13814 -.05709 (228*2π)/222610 weeks
229-.04181 .09798 (229*2π)/222610 weeks
230.15928 -.05198 (230*2π)/222610 weeks
231-.12647 -.12232 (231*2π)/222610 weeks
232.0242 .05247 (232*2π)/222610 weeks
233-.03126 -.10493 (233*2π)/222610 weeks
234-.04304 .07981 (234*2π)/222610 weeks
235.08817 -.16492 (235*2π)/22269 weeks
236-.17507 -.02493 (236*2π)/22269 weeks
237.07456 .06716 (237*2π)/22269 weeks
238-.00596 -.12842 (238*2π)/22269 weeks
239-.12651 .04308 (239*2π)/22269 weeks
240.05715 .0045 (240*2π)/22269 weeks
241-.0423 -.06547 (241*2π)/22269 weeks
242-.02828 .01343 (242*2π)/22269 weeks
243.01045 -.00552 (243*2π)/22269 weeks
244.04177 .01813 (244*2π)/22269 weeks
245.0456 -.083 (245*2π)/22269 weeks
246-.05045 -.10973 (246*2π)/22269 weeks
247-.01163 .01697 (247*2π)/22269 weeks
248-.05264 -.10946 (248*2π)/22269 weeks
249-.04997 .067 (249*2π)/22269 weeks
250.09735 -.07156 (250*2π)/22269 weeks
251-.11277 -.04063 (251*2π)/22269 weeks
252.06371 .02538 (252*2π)/22269 weeks
253-.02329 -.08863 (253*2π)/22269 weeks
254-.08917 .00933 (254*2π)/22269 weeks
255.11214 -.0267 (255*2π)/22269 weeks
256-.04406 -.07888 (256*2π)/2226