Back to list of Stocks    See Also: Seasonal Analysis of SNEGenetic Algorithms Stock Portfolio Generator, and Fourier Calculator

Fourier Analysis of SNE (Sony Corporation Common Stock)


SNE (Sony Corporation Common Stock) appears to have interesting cyclic behaviour every 170 weeks (3.4584*cosine), 201 weeks (3.2209*sine), and 148 weeks (1.8956*cosine).

SNE (Sony Corporation Common Stock) has an average price of 23.95 (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 7/26/1974 to 1/9/2017 for SNE (Sony Corporation Common Stock), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
023.94697   0 
1-12.56641 -19.24119 (1*2π)/22162,216 weeks
2-.66377 4.55221 (2*2π)/22161,108 weeks
32.98043 -4.86099 (3*2π)/2216739 weeks
4-3.16075 2.64395 (4*2π)/2216554 weeks
56.44691 -2.3101 (5*2π)/2216443 weeks
6-1.22119 -5.19928 (6*2π)/2216369 weeks
7-1.34639 3.18824 (7*2π)/2216317 weeks
83.63016 -3.71021 (8*2π)/2216277 weeks
9-2.28246 -1.57125 (9*2π)/2216246 weeks
10.64367 -.53805 (10*2π)/2216222 weeks
11-1.4245 -3.22088 (11*2π)/2216201 weeks
12-1.6005 2.80921 (12*2π)/2216185 weeks
133.45836 -.95395 (13*2π)/2216170 weeks
14-1.65906 -1.4026 (14*2π)/2216158 weeks
151.8956 -.16067 (15*2π)/2216148 weeks
16-1.82692 -2.8921 (16*2π)/2216139 weeks
17-.94697 1.662 (17*2π)/2216130 weeks
181.56148 -1.30204 (18*2π)/2216123 weeks
19-1.52089 -.26601 (19*2π)/2216117 weeks
201.48554 .76431 (20*2π)/2216111 weeks
21-.81446 -1.95391 (21*2π)/2216106 weeks
22-.48999 1.46821 (22*2π)/2216101 weeks
231.27308 -.56406 (23*2π)/221696 weeks
24.00794 -.55073 (24*2π)/221692 weeks
25.65785 -.69132 (25*2π)/221689 weeks
26-.14339 -.55649 (26*2π)/221685 weeks
27.18646 -.23872 (27*2π)/221682 weeks
28.29863 -.77692 (28*2π)/221679 weeks
29-.19196 -.4139 (29*2π)/221676 weeks
30.69013 -.67689 (30*2π)/221674 weeks
31-.85824 -1.16884 (31*2π)/221671 weeks
32-.07542 .2681 (32*2π)/221669 weeks
33-.01768 -.92652 (33*2π)/221667 weeks
34-.84604 .32657 (34*2π)/221665 weeks
351.15746 .00129 (35*2π)/221663 weeks
36-.04313 -1.37307 (36*2π)/221662 weeks
37-.57691 -.04049 (37*2π)/221660 weeks
38.00733 -.55421 (38*2π)/221658 weeks
39-.39337 -.1304 (39*2π)/221657 weeks
40.25219 -.39647 (40*2π)/221655 weeks
41-.62294 -.85266 (41*2π)/221654 weeks
42-.66952 .61577 (42*2π)/221653 weeks
43.82813 .15548 (43*2π)/221652 weeks
44-.1545 -.83823 (44*2π)/221650 weeks
45.02587 .13638 (45*2π)/221649 weeks
46-.06042 -.52069 (46*2π)/221648 weeks
47-.4055 -.06532 (47*2π)/221647 weeks
48.24283 -.01007 (48*2π)/221646 weeks
49-.08876 -.10381 (49*2π)/221645 weeks
50.27934 -.18804 (50*2π)/221644 weeks
51-.0792 -.35718 (51*2π)/221643 weeks
52.08232 -.2831 (52*2π)/221643 weeks
53-.45688 -.47818 (53*2π)/221642 weeks
54-.24136 .42199 (54*2π)/221641 weeks
55.52367 -.32105 (55*2π)/221640 weeks
56-.39846 -.38937 (56*2π)/221640 weeks
57.18307 .28148 (57*2π)/221639 weeks
58-.23489 -.90344 (58*2π)/221638 weeks
59-.55097 .48902 (59*2π)/221638 weeks
60.42388 .11363 (60*2π)/221637 weeks
61-.09198 -.62283 (61*2π)/221636 weeks
62-.07468 .34548 (62*2π)/221636 weeks
63.25692 -.48 (63*2π)/221635 weeks
64-.60596 -.05756 (64*2π)/221635 weeks
65.34313 .22712 (65*2π)/221634 weeks
66-.23517 -.53746 (66*2π)/221634 weeks
67-.17353 .30419 (67*2π)/221633 weeks
68.19144 -.1912 (68*2π)/221633 weeks
69-.27113 .16134 (69*2π)/221632 weeks
70.57525 .18074 (70*2π)/221632 weeks
71-.08272 -.86819 (71*2π)/221631 weeks
72-.47295 .33359 (72*2π)/221631 weeks
73.38381 -.00435 (73*2π)/221630 weeks
74-.21174 -.37077 (74*2π)/221630 weeks
75.14615 .32082 (75*2π)/221630 weeks
76.3067 -.51801 (76*2π)/221629 weeks
77-.5092 -.08785 (77*2π)/221629 weeks
78.26032 .212 (78*2π)/221628 weeks
79.11314 -.52435 (79*2π)/221628 weeks
80-.16139 .0865 (80*2π)/221628 weeks
81.19794 -.42001 (81*2π)/221627 weeks
82-.35744 -.0937 (82*2π)/221627 weeks
83.07888 .03413 (83*2π)/221627 weeks
84-.26076 -.19789 (84*2π)/221626 weeks
85.05445 .14574 (85*2π)/221626 weeks
86-.00025 -.25041 (86*2π)/221626 weeks
87-.09512 -.00177 (87*2π)/221625 weeks
88.13519 .00066 (88*2π)/221625 weeks
89-.03359 -.08988 (89*2π)/221625 weeks
90-.04746 -.25927 (90*2π)/221625 weeks
91-.15935 -.17623 (91*2π)/221624 weeks
92-.24311 .21148 (92*2π)/221624 weeks
93.30367 .0149 (93*2π)/221624 weeks
94-.05756 -.18722 (94*2π)/221624 weeks
95-.06137 .03939 (95*2π)/221623 weeks
96.02878 -.25455 (96*2π)/221623 weeks
97-.25677 .09258 (97*2π)/221623 weeks
98.26667 .24439 (98*2π)/221623 weeks
99.0743 -.39828 (99*2π)/221622 weeks
100-.18581 .09692 (100*2π)/221622 weeks
101.17727 -.10223 (101*2π)/221622 weeks
102-.14198 -.15763 (102*2π)/221622 weeks
103.00824 .16134 (103*2π)/221622 weeks
104.07638 -.1445 (104*2π)/221621 weeks
105.04233 .05207 (105*2π)/221621 weeks
106.07896 -.07217 (106*2π)/221621 weeks
107.13196 -.12746 (107*2π)/221621 weeks
108-.04516 -.23031 (108*2π)/221621 weeks
109.06897 .02466 (109*2π)/221620 weeks
110-.08045 -.2139 (110*2π)/221620 weeks
111-.02567 .04901 (111*2π)/221620 weeks
112.18923 -.12757 (112*2π)/221620 weeks
113-.12791 -.23086 (113*2π)/221620 weeks
114-.12025 .0181 (114*2π)/221619 weeks
115.16882 -.15851 (115*2π)/221619 weeks
116-.17517 .00777 (116*2π)/221619 weeks
117.20814 -.17542 (117*2π)/221619 weeks
118-.17902 -.13904 (118*2π)/221619 weeks
119.00115 .06953 (119*2π)/221619 weeks
120-.01036 -.29828 (120*2π)/221618 weeks
121-.09831 .16914 (121*2π)/221618 weeks
122.16455 -.07566 (122*2π)/221618 weeks
123.01653 -.33721 (123*2π)/221618 weeks
124-.09602 -.04466 (124*2π)/221618 weeks
125-.06078 -.10795 (125*2π)/221618 weeks
126-.0964 -.03981 (126*2π)/221618 weeks
127.07972 .03491 (127*2π)/221617 weeks
128-.07562 -.19044 (128*2π)/221617 weeks
129-.10829 -.04095 (129*2π)/221617 weeks
130-.07947 .01842 (130*2π)/221617 weeks
131.13674 .10709 (131*2π)/221617 weeks
132.06602 -.18265 (132*2π)/221617 weeks
133.03572 -.16397 (133*2π)/221617 weeks
134-.21121 -.05702 (134*2π)/221617 weeks
135-.07201 .01248 (135*2π)/221616 weeks
136.05762 .00882 (136*2π)/221616 weeks
137-.07264 .09147 (137*2π)/221616 weeks
138.23276 -.04597 (138*2π)/221616 weeks
139-.00599 -.20997 (139*2π)/221616 weeks
140-.11509 .03537 (140*2π)/221616 weeks
141.15979 -.11098 (141*2π)/221616 weeks
142-.15364 -.08536 (142*2π)/221616 weeks
143.17797 .00486 (143*2π)/221615 weeks
144-.12854 -.22538 (144*2π)/221615 weeks
145-.07252 .00877 (145*2π)/221615 weeks
146-.00607 .0649 (146*2π)/221615 weeks
147.0091 -.12053 (147*2π)/221615 weeks
148.00226 -.06661 (148*2π)/221615 weeks
149-.05818 -.00616 (149*2π)/221615 weeks
150-.03578 -.01481 (150*2π)/221615 weeks
151.00997 -.02976 (151*2π)/221615 weeks
152.06415 -.05548 (152*2π)/221615 weeks
153-.09488 -.03385 (153*2π)/221614 weeks
154.16737 .003 (154*2π)/221614 weeks
155-.05488 -.22205 (155*2π)/221614 weeks
156-.1048 .04971 (156*2π)/221614 weeks
157.11896 -.0384 (157*2π)/221614 weeks
158.01138 -.10755 (158*2π)/221614 weeks
159.02714 -.00717 (159*2π)/221614 weeks
160.04879 -.20621 (160*2π)/221614 weeks
161-.21811 -.06125 (161*2π)/221614 weeks
162.10864 .09932 (162*2π)/221614 weeks
163.0414 -.14396 (163*2π)/221614 weeks
164-.09674 -.07113 (164*2π)/221614 weeks
165-.00398 -.01957 (165*2π)/221613 weeks
166-.02168 -.0194 (166*2π)/221613 weeks
167-.00146 -.07697 (167*2π)/221613 weeks
168-.01442 -.02715 (168*2π)/221613 weeks
169.01014 -.00162 (169*2π)/221613 weeks
170.03195 -.15057 (170*2π)/221613 weeks
171-.11238 .03199 (171*2π)/221613 weeks
172.13641 -.10101 (172*2π)/221613 weeks
173-.1484 -.07421 (173*2π)/221613 weeks
174.01877 .04612 (174*2π)/221613 weeks
175.06853 -.07875 (175*2π)/221613 weeks
176-.0709 .08292 (176*2π)/221613 weeks
177.14289 -.12574 (177*2π)/221613 weeks
178-.07224 -.10823 (178*2π)/221612 weeks
179.11006 .01343 (179*2π)/221612 weeks
180-.00332 -.30249 (180*2π)/221612 weeks
181-.13649 .10052 (181*2π)/221612 weeks
182.12538 -.06196 (182*2π)/221612 weeks
183-.06751 -.15435 (183*2π)/221612 weeks
184-.07241 -.11176 (184*2π)/221612 weeks
185-.08081 -.01331 (185*2π)/221612 weeks
186-.01556 -.01982 (186*2π)/221612 weeks
187.04774 -.05403 (187*2π)/221612 weeks
188-.05914 -.16728 (188*2π)/221612 weeks
189-.19328 .01743 (189*2π)/221612 weeks
190.03032 .04632 (190*2π)/221612 weeks
191-.0532 -.03612 (191*2π)/221612 weeks
192.05686 .02898 (192*2π)/221612 weeks
193.02243 -.04785 (193*2π)/221611 weeks
194.01781 -.01302 (194*2π)/221611 weeks
195-.02416 -.02767 (195*2π)/221611 weeks
196-.01472 .00245 (196*2π)/221611 weeks
197.1003 -.04878 (197*2π)/221611 weeks
198-.02404 -.08879 (198*2π)/221611 weeks
199-.03807 -.04887 (199*2π)/221611 weeks
200.04133 .06142 (200*2π)/221611 weeks
201.08038 -.09003 (201*2π)/221611 weeks
202-.04256 -.05689 (202*2π)/221611 weeks
203.08551 -.11214 (203*2π)/221611 weeks
204-.10093 -.12759 (204*2π)/221611 weeks
205-.04602 .05257 (205*2π)/221611 weeks
206.10749 -.05533 (206*2π)/221611 weeks
207-.01738 -.13535 (207*2π)/221611 weeks
208-.09752 -.02685 (208*2π)/221611 weeks
209.04297 -.0242 (209*2π)/221611 weeks
210-.01356 -.09571 (210*2π)/221611 weeks
211-.05275 .00996 (211*2π)/221611 weeks
212.05514 -.09958 (212*2π)/221610 weeks
213-.06455 -.01188 (213*2π)/221610 weeks
214-.02239 -.0905 (214*2π)/221610 weeks
215-.04766 .02919 (215*2π)/221610 weeks
216.10489 -.01418 (216*2π)/221610 weeks
217-.04162 -.09708 (217*2π)/221610 weeks
218.09374 -.0226 (218*2π)/221610 weeks
219-.05741 -.12014 (219*2π)/221610 weeks
220-.02096 -.04894 (220*2π)/221610 weeks
221-.02422 -.09542 (221*2π)/221610 weeks
222-.09001 -.02097 (222*2π)/221610 weeks
223.06715 .01177 (223*2π)/221610 weeks
224.01723 -.14284 (224*2π)/221610 weeks
225-.06327 -.072 (225*2π)/221610 weeks
226-.025 -.08351 (226*2π)/221610 weeks
227-.13731 -.07114 (227*2π)/221610 weeks
228-.06131 .09411 (228*2π)/221610 weeks
229.16035 -.02877 (229*2π)/221610 weeks
230-.11235 -.1369 (230*2π)/221610 weeks
231.01049 .05545 (231*2π)/221610 weeks
232-.02 -.10789 (232*2π)/221610 weeks
233-.06546 .07604 (233*2π)/221610 weeks
234.11363 -.14226 (234*2π)/22169 weeks
235-.17287 -.06592 (235*2π)/22169 weeks
236.0448 .08287 (236*2π)/22169 weeks
237.02084 -.1242 (237*2π)/22169 weeks
238-.14479 .00715 (238*2π)/22169 weeks
239.03639 .02307 (239*2π)/22169 weeks
240-.03495 -.07157 (240*2π)/22169 weeks
241-.04889 .00354 (241*2π)/22169 weeks
242-.01069 .00079 (242*2π)/22169 weeks
243.01398 .04354 (243*2π)/22169 weeks
244.05954 -.04419 (244*2π)/22169 weeks
245-.01581 -.11646 (245*2π)/22169 weeks
246-.02593 .01508 (246*2π)/22169 weeks
247-.02149 -.12341 (247*2π)/22169 weeks
248-.09793 .03894 (248*2π)/22169 weeks
249.09963 -.01828 (249*2π)/22169 weeks
250-.10129 -.08278 (250*2π)/22169 weeks
251.0226 .05433 (251*2π)/22169 weeks
252.00552 -.07909 (252*2π)/22169 weeks
253-.11553 -.03379 (253*2π)/22169 weeks
254.08109 .03686 (254*2π)/22169 weeks
255-.01426 -.07721 (255*2π)/22169 weeks
256-.04118 -.03751 (256*2π)/22169 weeks
257.03595 .02196 (257*2π)/22169 weeks
258-.02502 -.09559 (258*2π)/22169 weeks
259-.05683 .00557 (259*2π)/22169 weeks
260.04881 -.07628