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Fourier Analysis of SFTBY (Softbank Corp. (Japan))


SFTBY (Softbank Corp. (Japan)) appears to have interesting cyclic behaviour every 24 weeks (11.8272*sine), 25 weeks (10.7679*sine), and 29 weeks (8.9908*cosine).

SFTBY (Softbank Corp. (Japan)) has an average price of 56.85 (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 7/27/2010 to 11/6/2017 for SFTBY (Softbank Corp. (Japan)), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
056.85389   0 
152.65942 10.78355 (1*2π)/381381 weeks
252.89363 28.39337 (2*2π)/381191 weeks
330.30495 38.59494 (3*2π)/381127 weeks
416.21399 40.65138 (4*2π)/38195 weeks
5.67569 39.43807 (5*2π)/38176 weeks
6-9.22829 29.47913 (6*2π)/38164 weeks
7-13.72499 19.30085 (7*2π)/38154 weeks
8-15.15246 9.37409 (8*2π)/38148 weeks
9-10.5833 1.47624 (9*2π)/38142 weeks
10-4.29003 -3.61377 (10*2π)/38138 weeks
112.64881 -3.11836 (11*2π)/38135 weeks
126.55606 -.99274 (12*2π)/38132 weeks
138.99085 3.64259 (13*2π)/38129 weeks
148.11892 8.07977 (14*2π)/38127 weeks
155.2606 10.76785 (15*2π)/38125 weeks
16.60288 11.82723 (16*2π)/38124 weeks
17-2.47775 10.00977 (17*2π)/38122 weeks
18-4.33539 6.83481 (18*2π)/38121 weeks
19-4.47271 2.58431 (19*2π)/38120 weeks
20-3.21427 -.68395 (20*2π)/38119 weeks
21-.28643 -2.27089 (21*2π)/38118 weeks
223.15658 -1.4451 (22*2π)/38117 weeks
235.13774 .28041 (23*2π)/38117 weeks
246.10903 3.04845 (24*2π)/38116 weeks
255.09746 6.01323 (25*2π)/38115 weeks
263.27526 7.28094 (26*2π)/38115 weeks
27.38578 7.49801 (27*2π)/38114 weeks
28-1.75774 6.69619 (28*2π)/38114 weeks
29-3.26762 4.49303 (29*2π)/38113 weeks
30-3.10736 1.95474 (30*2π)/38113 weeks
31-2.33872 -.02684 (31*2π)/38112 weeks
32-.01516 -.97625 (32*2π)/38112 weeks
331.29374 -.94324 (33*2π)/38112 weeks
343.40459 .38893 (34*2π)/38111 weeks
353.60254 2.18274 (35*2π)/38111 weeks
363.09884 3.50616 (36*2π)/38111 weeks
371.84743 4.49593 (37*2π)/38110 weeks
38.01071 4.68276 (38*2π)/38110 weeks
39-.98037 3.97223 (39*2π)/38110 weeks
40-2.02116 2.16114 (40*2π)/38110 weeks
41-1.57596 1.07336 (41*2π)/3819 weeks
42-.67631 -.10697 (42*2π)/3819 weeks
43.72395 -.58778 (43*2π)/3819 weeks
441.89878 -.27887 (44*2π)/3819 weeks
452.55736 1.33759 (45*2π)/3818 weeks
462.90754 2.34837 (46*2π)/3818 weeks
471.96132 3.44801 (47*2π)/3818 weeks
48.75555 3.83083 (48*2π)/3818 weeks
49-.62622 3.35234 (49*2π)/3818 weeks
50-1.61008 2.43944 (50*2π)/3818 weeks
51-1.56688 1.14164 (51*2π)/3817 weeks
52-1.19386 -.12134 (52*2π)/3817 weeks
53.02069 -.7733 (53*2π)/3817 weeks
541.07293 -.97511 (54*2π)/3817 weeks
552.3963 -.08667 (55*2π)/3817 weeks
562.61699 .64001 (56*2π)/3817 weeks
572.61643 1.99895 (57*2π)/3817 weeks
581.84952 2.87443 (58*2π)/3817 weeks
59.66173 3.37871 (59*2π)/3816 weeks
60-.18722 2.67399 (60*2π)/3816 weeks
61-1.09684 2.01405 (61*2π)/3816 weeks
62-1.12555 .80377 (62*2π)/3816 weeks
63-.56661 -.1159 (63*2π)/3816 weeks
64.54205 -.568 (64*2π)/3816 weeks
651.65292 -.74231 (65*2π)/3816 weeks
662.48896 .16203 (66*2π)/3816 weeks
672.65731 1.25213 (67*2π)/3816 weeks
682.54826 2.32646 (68*2π)/3816 weeks
691.52205 3.12866 (69*2π)/3816 weeks
70.5633 3.06483 (70*2π)/3815 weeks
71-.59681 2.80288 (71*2π)/3815 weeks
72-1.26819 1.84249 (72*2π)/3815 weeks
73-1.44388 .879 (73*2π)/3815 weeks
74-.8431 -.05795 (74*2π)/3815 weeks
75-.29206 -.70038 (75*2π)/3815 weeks
76.8373 -.47659 (76*2π)/3815 weeks
771.35465 -.19193 (77*2π)/3815 weeks
781.90765 .49533 (78*2π)/3815 weeks
791.55401 1.26269 (79*2π)/3815 weeks
801.03302 1.68642 (80*2π)/3815 weeks
81.38376 1.64863 (81*2π)/3815 weeks
82-.25762 1.24409 (82*2π)/3815 weeks
83-.43984 .57525 (83*2π)/3815 weeks
84-.0638 -.0453 (84*2π)/3815 weeks
85.4934 -.34222 (85*2π)/3814 weeks
861.28037 -.51552 (86*2π)/3814 weeks
871.9135 -.02762 (87*2π)/3814 weeks
882.32439 .73764 (88*2π)/3814 weeks
892.01832 1.46618 (89*2π)/3814 weeks
901.61124 2.16762 (90*2π)/3814 weeks
91.71714 2.38744 (91*2π)/3814 weeks
92-.14365 2.17265 (92*2π)/3814 weeks
93-.66206 1.55446 (93*2π)/3814 weeks
94-.8193 .57308 (94*2π)/3814 weeks
95-.59561 -.1693 (95*2π)/3814 weeks
96.10843 -.62795 (96*2π)/3814 weeks
971.03187 -.7796 (97*2π)/3814 weeks
981.59659 -.35007 (98*2π)/3814 weeks
991.92445 .36224 (99*2π)/3814 weeks
1001.78878 1.14735 (100*2π)/3814 weeks
1011.48298 1.71813 (101*2π)/3814 weeks
102.63981 1.86127 (102*2π)/3814 weeks
103.02003 1.62054 (103*2π)/3814 weeks
104-.49253 1.08778 (104*2π)/3814 weeks
105-.62816 .39314 (105*2π)/3814 weeks
106-.30607 -.23585 (106*2π)/3814 weeks
107.26472 -.56084 (107*2π)/3814 weeks
1081.03041 -.54038 (108*2π)/3814 weeks
1091.49356 -.2337 (109*2π)/3813 weeks
1101.8951 .38944 (110*2π)/3813 weeks
1111.61322 .95326 (111*2π)/3813 weeks
1121.12567 1.45277 (112*2π)/3813 weeks
113.47324 1.57324 (113*2π)/3813 weeks
114-.14608 1.29484 (114*2π)/3813 weeks
115-.31206 .71062 (115*2π)/3813 weeks
116-.41172 .07873 (116*2π)/3813 weeks
117.10217 -.43303 (117*2π)/3813 weeks
118.63925 -.5401 (118*2π)/3813 weeks
1191.22303 -.48664 (119*2π)/3813 weeks
1201.55425 -.01318 (120*2π)/3813 weeks
1211.6058 .60984 (121*2π)/3813 weeks
1221.45906 1.05385 (122*2π)/3813 weeks
123.80137 1.36209 (123*2π)/3813 weeks
124.32403 1.42309 (124*2π)/3813 weeks
125-.2242 .92683 (125*2π)/3813 weeks
126-.24289 .41912 (126*2π)/3813 weeks
127-.15642 -.25145 (127*2π)/3813 weeks
128.44509 -.54988 (128*2π)/3813 weeks
129.98993 -.56435 (129*2π)/3813 weeks
1301.49557 -.33267 (130*2π)/3813 weeks
1311.9179 .31785 (131*2π)/3813 weeks
1321.64945 .82102 (132*2π)/3813 weeks
1331.32975 1.35983 (133*2π)/3813 weeks
134.73526 1.61776 (134*2π)/3813 weeks
135.10674 1.4786 (135*2π)/3813 weeks
136-.43791 .9397 (136*2π)/3813 weeks
137-.60073 .35993 (137*2π)/3813 weeks
138-.34145 -.25722 (138*2π)/3813 weeks
139.13059 -.67497 (139*2π)/3813 weeks
140.74959 -.79327 (140*2π)/3813 weeks
1411.37897 -.52302 (141*2π)/3813 weeks
1421.57356 .04478 (142*2π)/3813 weeks
1431.56963 .52713 (143*2π)/3813 weeks
1441.1237 1.01717 (144*2π)/3813 weeks
145.72232 1.09674 (145*2π)/3813 weeks
146.1923 .96717 (146*2π)/3813 weeks
147-.06348 .46472 (147*2π)/3813 weeks
148-.10317 -.05959 (148*2π)/3813 weeks
149.03126 -.52179 (149*2π)/3813 weeks
150.58854 -.65737 (150*2π)/3813 weeks
1511.18445 -.63882 (151*2π)/3813 weeks
1521.56595 -.21816 (152*2π)/3813 weeks
1531.72761 .27704 (153*2π)/3812 weeks
1541.51889 .72195 (154*2π)/3812 weeks
1551.07569 1.16167 (155*2π)/3812 weeks
156.46327 1.02054 (156*2π)/3812 weeks
157.03712 .87513 (157*2π)/3812 weeks
158-.25254 .40709 (158*2π)/3812 weeks
159-.18974 -.21511 (159*2π)/3812 weeks
160.12903 -.54487 (160*2π)/3812 weeks
161.69525 -.64318 (161*2π)/3812 weeks
1621.15104 -.49606 (162*2π)/3812 weeks
1631.56778 -.06887 (163*2π)/3812 weeks
1641.52487 .35871 (164*2π)/3812 weeks
1651.25425 .88163 (165*2π)/3812 weeks
166.69297 1.05779 (166*2π)/3812 weeks
167.2666 .95948 (167*2π)/3812 weeks
168-.16505 .59309 (168*2π)/3812 weeks
169-.34794 .02507 (169*2π)/3812 weeks
170-.15115 -.48986 (170*2π)/3812 weeks
171.33692 -.84388 (171*2π)/3812 weeks
172.88207 -.93438 (172*2π)/3812 weeks
1731.3872 -.65238 (173*2π)/3812 weeks
1741.65279 -.24981 (174*2π)/3812 weeks
1751.64436 .43926 (175*2π)/3812 weeks
1761.22492 .84038 (176*2π)/3812 weeks
177.81048 1.18999 (177*2π)/3812 weeks
178.13404 .9277 (178*2π)/3812 weeks
179-.13809 .63603 (179*2π)/3812 weeks
180-.27031 -.06677 (180*2π)/3812 weeks
181-.14276 -.49149 (181*2π)/3812 weeks
182.30437 -.89469 (182*2π)/3812 weeks
183.79201 -.80799 (183*2π)/3812 weeks
1841.33846 -.58936 (184*2π)/3812 weeks
1851.4848 -.14861 (185*2π)/3812 weeks
1861.48831 .27013 (186*2π)/3812 weeks
1871.19212 .70262 (187*2π)/3812 weeks
188.59179 .73395 (188*2π)/3812 weeks
189.18837 .69868 (189*2π)/3812 weeks
190-.08609 .25776 (190*2π)/3812 weeks
191-.08609 -.25776 (191*2π)/3812 weeks
192.18837 -.69868 (192*2π)/3812 weeks
193.59179 -.73395 (193*2π)/3812 weeks
1941.19212 -.70262 (194*2π)/3812 weeks
1951.48831 -.27013 (195*2π)/3812 weeks
1961.4848 .14861 (196*2π)/3812 weeks
1971.33846 .58936 (197*2π)/3812 weeks
198.79201 .80799 (198*2π)/3812 weeks
199.30437 .89469 (199*2π)/3812 weeks
200-.14276 .49149 (200*2π)/3812 weeks
201-.27031 .06677 (201*2π)/3812 weeks
202-.13809 -.63603 (202*2π)/3812 weeks
203.13404 -.9277 (203*2π)/3812 weeks
204.81048 -1.18999 (204*2π)/3812 weeks
2051.22492 -.84038 (205*2π)/3812 weeks
2061.64436 -.43926 (206*2π)/3812 weeks
2071.65279 .24981 (207*2π)/3812 weeks
2081.3872 .65238 (208*2π)/3812 weeks
209.88207 .93438 (209*2π)/3812 weeks
210.33692 .84388 (210*2π)/3812 weeks
211-.15115 .48986 (211*2π)/3812 weeks
212-.34794 -.02507 (212*2π)/3812 weeks
213-.16505 -.59309 (213*2π)/3812 weeks
214.2666 -.95948 (214*2π)/3812 weeks
215.69297 -1.05779 (215*2π)/3812 weeks
2161.25425 -.88163 (216*2π)/3812 weeks
2171.52487 -.35871 (217*2π)/3812 weeks
2181.56778 .06887 (218*2π)/3812 weeks
2191.15104 .49606 (219*2π)/3812 weeks
220.69525 .64318 (220*2π)/3812 weeks
221.12903 .54487 (221*2π)/3812 weeks
222-.18974 .21511 (222*2π)/3812 weeks
223-.25254 -.40709 (223*2π)/3812 weeks
224.03712 -.87513 (224*2π)/3812 weeks
225.46327 -1.02054 (225*2π)/3812 weeks
2261.07569 -1.16167 (226*2π)/3812 weeks
2271.51889 -.72195 (227*2π)/3812 weeks
2281.72761 -.27704 (228*2π)/3812 weeks
2291.56595 .21816 (229*2π)/3812 weeks
2301.18445 .63882 (230*2π)/3812 weeks
231.58854 .65737 (231*2π)/3812 weeks
232.03126 .52179 (232*2π)/3812 weeks
233-.10317 .05959 (233*2π)/3812 weeks
234-.06348 -.46472 (234*2π)/3812 weeks
235.1923 -.96717 (235*2π)/3812 weeks
236.72232 -1.09674 (236*2π)/3812 weeks
2371.1237 -1.01717 (237*2π)/3812 weeks
2381.56963 -.52713 (238*2π)/3812 weeks
2391.57356 -.04478 (239*2π)/3812 weeks
2401.37897 .52302 (240*2π)/3812 weeks
241.74959 .79327 (241*2π)/3812 weeks
242.13059 .67497 (242*2π)/3812 weeks
243-.34145 .25722 (243*2π)/3812 weeks
244-.60073 -.35993 (244*2π)/3812 weeks
245-.43791 -.9397 (245*2π)/3812 weeks
246.10674 -1.4786 (246*2π)/3812 weeks
247.73526 -1.61776 (247*2π)/3812 weeks
2481.32975 -1.35983 (248*2π)/3812 weeks
2491.64945 -.82102 (249*2π)/3812 weeks
2501.9179 -.31785 (250*2π)/3812 weeks
2511.49557 .33267 (251*2π)/3812 weeks
252.98993 .56435 (252*2π)/3812 weeks
253.44509 .54988 (253*2π)/3812 weeks
254-.15642 .25145 (254*2π)/3812 weeks
255-.24289 -.41912 (255*2π)/3811 weeks
256-.2242 -.92683 (256*2π)/3811 weeks
257.32403 -1.42309 (257*2π)/3811 weeks
258.80137 -1.36209 (258*2π)/3811 weeks
2591.45906 -1.05385 (259*2π)/3811 weeks
2601.6058 -.60984 (260*2π)/3811 weeks
2611.55425 .01318 (261*2π)/3811 weeks
2621.22303 .48664 (262*2π)/3811 weeks
263.63925 .5401 (263*2π)/3811 weeks
264.10217 .43303 (264*2π)/3811 weeks
265-.41172 -.07873 (265*2π)/3811 weeks
266-.31206 -.71062 (266*2π)/3811 weeks
267-.14608 -1.29484 (267*2π)/3811 weeks
268.47324 -1.57324 (268*2π)/3811 weeks
2691.12567 -1.45277 (269*2π)/3811 weeks
2701.61322 -.95326 (270*2π)/3811 weeks
2711.8951 -.38944 (271*2π)/3811 weeks
2721.49356 .2337 (272*2π)/3811 weeks
2731.03041 .54038 (273*2π)/3811 weeks
274.26472 .56084 (274*2π)/3811 weeks
275-.30607 .23585 (275*2π)/3811 weeks
276-.62816 -.39314 (276*2π)/3811 weeks
277-.49253 -1.08778 (277*2π)/3811 weeks
278.02003 -1.62054 (278*2π)/3811 weeks
279.63981 -1.86127 (279*2π)/3811 weeks
2801.48298 -1.71813 (280*2π)/3811 weeks
2811.78878 -1.14735 (281*2π)/3811 weeks
2821.92445 -.36224 (282*2π)/3811 weeks
2831.59659 .35007 (283*2π)/3811 weeks
2841.03187 .7796 (284*2π)/3811 weeks
285.10843 .62795 (285*2π)/3811 weeks
286-.59561 .1693 (286*2π)/3811 weeks
287-.8193 -.57308 (287*2π)/3811 weeks
288-.66206 -1.55446 (288*2π)/3811 weeks
289-.14365 -2.17265 (289*2π)/3811 weeks
290.71714 -2.38744 (290*2π)/3811 weeks
2911.61124 -2.16762 (291*2π)/3811 weeks
2922.01832 -1.46618 (292*2π)/3811 weeks
2932.32439 -.73764 (293*2π)/3811 weeks
2941.9135 .02762 (294*2π)/3811 weeks
2951.28037 .51552 (295*2π)/3811 weeks
296.4934 .34222 (296*2π)/3811 weeks
297-.0638 .0453 (297*2π)/3811 weeks
298-.43984 -.57525 (298*2π)/3811 weeks
299-.25762 -1.24409 (299*2π)/3811 weeks
300.38376 -1.64863 (300*2π)/3811 weeks
3011.03302 -1.68642 (301*2π)/3811 weeks
3021.55401 -1.26269 (302*2π)/3811 weeks
3031.90765 -.49533 (303*2π)/3811 weeks
3041.35465 .19193 (304*2π)/3811 weeks
305.8373 .47659 (305*2π)/3811 weeks
306-.29206 .70038 (306*2π)/3811 weeks
307-.8431 .05795 (307*2π)/3811 weeks
308-1.44388 -.879 (308*2π)/3811 weeks
309-1.26819 -1.84249 (309*2π)/3811 weeks
310-.59681 -2.80288 (310*2π)/3811 weeks
311.5633 -3.06483 (311*2π)/3811 weeks
3121.52205 -3.12866 (312*2π)/3811 weeks
3132.54826 -2.32646 (313*2π)/3811 weeks
3142.65731 -1.25213 (314*2π)/3811 weeks
3152.48896 -.16203 (315*2π)/3811 weeks
3161.65292 .74231 (316*2π)/3811 weeks
317.54205 .568 (317*2π)/3811 weeks
318-.56661 .1159 (318*2π)/3811 weeks
319-1.12555 -.80377 (319*2π)/3811 weeks
320-1.09684 -2.01405 (320*2π)/3811 weeks
321-.18722 -2.67399 (321*2π)/3811 weeks
322.66173 -3.37871 (322*2π)/3811 weeks
3231.84952 -2.87443 (323*2π)/3811 weeks
3242.61643 -1.99895 (324*2π)/3811 weeks
3252.61699 -.64001 (325*2π)/3811 weeks
3262.3963 .08667 (326*2π)/3811 weeks
3271.07293 .97511 (327*2π)/3811 weeks
328.02069 .7733 (328*2π)/3811 weeks
329-1.19386 .12134 (329*2π)/3811 weeks
330-1.56688 -1.14164 (330*2π)/3811 weeks
331-1.61008 -2.43944 (331*2π)/3811 weeks
332-.62622 -3.35234 (332*2π)/3811 weeks
333.75555 -3.83083 (333*2π)/3811 weeks
3341.96132 -3.44801 (334*2π)/3811 weeks
3352.90754 -2.34837 (335*2π)/3811 weeks
3362.55736 -1.33759 (336*2π)/3811 weeks
3371.89878 .27887 (337*2π)/3811 weeks
338.72395 .58778 (338*2π)/3811 weeks
339-.67631 .10697 (339*2π)/3811 weeks
340-1.57596 -1.07336 (340*2π)/3811 weeks
341-2.02116 -2.16114 (341*2π)/3811 weeks
342-.98037 -3.97223 (342*2π)/3811 weeks
343.01071 -4.68276 (343*2π)/3811 weeks
3441.84743 -4.49593 (344*2π)/3811 weeks
3453.09884 -3.50616 (345*2π)/3811 weeks
3463.60254 -2.18274 (346*2π)/3811 weeks
3473.40459 -.38893 (347*2π)/3811 weeks
3481.29374 .94324 (348*2π)/3811 weeks
349-.01516 .97625 (349*2π)/3811 weeks
350-2.33872 .02684 (350*2π)/3811 weeks
351-3.10736 -1.95474 (351*2π)/3811 weeks
352-3.26762 -4.49303 (352*2π)/3811 weeks
353-1.75774 -6.69619 (353*2π)/3811 weeks
354.38578 -7.49801 (354*2π)/3811 weeks
3553.27526 -7.28094 (355*2π)/3811 weeks
3565.09746 -6.01323 (356*2π)/3811 weeks
3576.10903 -3.04845 (357*2π)/3811 weeks
3585.13774 -.28041 (358*2π)/3811 weeks
3593.15658 1.4451 (359*2π)/3811 weeks
360-.28643 2.27089 (360*2π)/3811 weeks
361-3.21427 .68395 (361*2π)/3811 weeks
362-4.47271 -2.58431 (362*2π)/3811 weeks
363-4.33539 -6.83481 (363*2π)/3811 weeks
364-2.47775 -10.00977 (364*2π)/3811 weeks
365.60288 -11.82723 (365*2π)/3811 weeks
3665.2606 -10.76785 (366*2π)/3811 weeks
3678.11892 -8.07977 (367*2π)/3811 weeks
3688.99085 -3.64259 (368*2π)/3811 weeks
3696.55606 .99274 (369*2π)/3811 weeks
3702.64881 3.11836 (370*2π)/3811 weeks
371-4.29003 3.61377 (371*2π)/3811 weeks
372-10.5833 -1.47624 (372*2π)/3811 weeks
373-15.15246 -9.37409 (373*2π)/3811 weeks
374-13.72499 -19.30085 (374*2π)/3811 weeks
375-9.22829 -29.47913 (375*2π)/3811 weeks
376.67569 -39.43807 (376*2π)/3811 weeks
37716.21399 -40.65138 (377*2π)/3811 weeks
37830.30495 -38.59494 (378*2π)/3811 weeks
37952.89363 -28.39337 (379*2π)/3811 weeks



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