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

Fourier Analysis of VOYA (Voya Financial Inc)


VOYA (Voya Financial Inc) appears to have interesting cyclic behaviour every 20 weeks (1.0513*sine), 17 weeks (.7398*sine), and 13 weeks (.6284*cosine).

VOYA (Voya Financial Inc) has an average price of 35.97 (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 5/2/2013 to 7/17/2017 for VOYA (Voya Financial Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
035.9657   0 
1-4.35544 1.78651 (1*2π)/221221 weeks
23.14694 -2.76799 (2*2π)/221111 weeks
3-2.49003 -2.77748 (3*2π)/22174 weeks
4-1.16401 -.84419 (4*2π)/22155 weeks
5-1.1228 -.53003 (5*2π)/22144 weeks
6.07617 .52372 (6*2π)/22137 weeks
7.54332 .07039 (7*2π)/22132 weeks
8.22287 -.75827 (8*2π)/22128 weeks
9-.79576 -.27233 (9*2π)/22125 weeks
10.37273 -.10644 (10*2π)/22122 weeks
11-.45644 -1.05127 (11*2π)/22120 weeks
12-.50355 -.06396 (12*2π)/22118 weeks
13.25655 -.73979 (13*2π)/22117 weeks
14.13878 -.26999 (14*2π)/22116 weeks
15-.02542 -.73557 (15*2π)/22115 weeks
16-.09195 -.33451 (16*2π)/22114 weeks
17-.62839 .31692 (17*2π)/22113 weeks
18.24433 -.23955 (18*2π)/22112 weeks
19.24087 -.05269 (19*2π)/22112 weeks
20-.22687 -.20164 (20*2π)/22111 weeks
21-.05433 -.0903 (21*2π)/22111 weeks
22-.10438 -.31525 (22*2π)/22110 weeks
23-.30544 -.28953 (23*2π)/22110 weeks
24-.31188 -.07468 (24*2π)/2219 weeks
25-.05974 -.1016 (25*2π)/2219 weeks
26-.2285 -.00628 (26*2π)/2219 weeks
27-.30372 -.2463 (27*2π)/2218 weeks
28-.30812 -.32712 (28*2π)/2218 weeks
29-.39063 .01644 (29*2π)/2218 weeks
30.02654 -.34468 (30*2π)/2217 weeks
31.02517 -.10319 (31*2π)/2217 weeks
32-.14204 -.09642 (32*2π)/2217 weeks
33.05204 -.12421 (33*2π)/2217 weeks
34-.14477 -.20604 (34*2π)/2217 weeks
35-.28078 -.37402 (35*2π)/2216 weeks
36.00771 -.02406 (36*2π)/2216 weeks
37-.00709 -.17748 (37*2π)/2216 weeks
38-.04915 -.26787 (38*2π)/2216 weeks
39-.21184 -.12031 (39*2π)/2216 weeks
40-.01855 -.05501 (40*2π)/2216 weeks
41-.21121 -.27606 (41*2π)/2215 weeks
42-.16059 -.05847 (42*2π)/2215 weeks
43.07596 -.21569 (43*2π)/2215 weeks
44-.22265 -.24258 (44*2π)/2215 weeks
45-.23527 -.22407 (45*2π)/2215 weeks
46-.12025 -.12952 (46*2π)/2215 weeks
47-.17635 -.11688 (47*2π)/2215 weeks
48.12132 -.08689 (48*2π)/2215 weeks
49-.08495 -.06392 (49*2π)/2215 weeks
50-.12596 -.03106 (50*2π)/2214 weeks
51-.01485 -.09151 (51*2π)/2214 weeks
52-.22538 -.02469 (52*2π)/2214 weeks
53-.15593 .07119 (53*2π)/2214 weeks
54.17982 -.17734 (54*2π)/2214 weeks
55-.1474 -.13955 (55*2π)/2214 weeks
56-.0252 .02068 (56*2π)/2214 weeks
57-.02477 -.04526 (57*2π)/2214 weeks
58-.25699 -.02125 (58*2π)/2214 weeks
59-.01469 -.04717 (59*2π)/2214 weeks
60-.09634 .0438 (60*2π)/2214 weeks
61-.01274 -.03042 (61*2π)/2214 weeks
62-.03718 -.07701 (62*2π)/2214 weeks
63-.21859 -.05888 (63*2π)/2214 weeks
64-.07614 -.03312 (64*2π)/2213 weeks
65.0362 -.03551 (65*2π)/2213 weeks
66-.03848 .02224 (66*2π)/2213 weeks
67-.04306 .01368 (67*2π)/2213 weeks
68-.04343 -.10654 (68*2π)/2213 weeks
69-.07363 -.06227 (69*2π)/2213 weeks
70-.12349 -.07243 (70*2π)/2213 weeks
71-.05749 -.11226 (71*2π)/2213 weeks
72-.02594 -.08784 (72*2π)/2213 weeks
73-.03464 -.01811 (73*2π)/2213 weeks
74-.14202 -.09606 (74*2π)/2213 weeks
75-.14761 -.05368 (75*2π)/2213 weeks
76-.25439 .00573 (76*2π)/2213 weeks
77-.09906 .06196 (77*2π)/2213 weeks
78-.09887 -.07298 (78*2π)/2213 weeks
79-.05902 -.10614 (79*2π)/2213 weeks
80-.03205 -.19588 (80*2π)/2213 weeks
81-.10539 -.08974 (81*2π)/2213 weeks
82-.14717 -.02261 (82*2π)/2213 weeks
83-.03324 -.03062 (83*2π)/2213 weeks
84-.09976 -.04631 (84*2π)/2213 weeks
85-.09028 -.02026 (85*2π)/2213 weeks
86-.02032 -.06081 (86*2π)/2213 weeks
87-.13653 -.0404 (87*2π)/2213 weeks
88-.13245 -.03117 (88*2π)/2213 weeks
89-.12121 .01117 (89*2π)/2212 weeks
90-.10426 -.07183 (90*2π)/2212 weeks
91-.05383 -.04682 (91*2π)/2212 weeks
92-.12653 -.06552 (92*2π)/2212 weeks
93-.0588 .08068 (93*2π)/2212 weeks
94-.13209 .02932 (94*2π)/2212 weeks
95.00619 -.06933 (95*2π)/2212 weeks
96.03665 -.10135 (96*2π)/2212 weeks
97-.06449 -.02092 (97*2π)/2212 weeks
98-.13134 -.00297 (98*2π)/2212 weeks
99-.15491 .11244 (99*2π)/2212 weeks
100-.09744 -.05261 (100*2π)/2212 weeks
101-.02043 -.00774 (101*2π)/2212 weeks
102-.08465 .08908 (102*2π)/2212 weeks
103-.12081 -.00809 (103*2π)/2212 weeks
104-.10262 -.04556 (104*2π)/2212 weeks
105-.11534 .01056 (105*2π)/2212 weeks
106.08547 -.01766 (106*2π)/2212 weeks
107-.12677 -.0108 (107*2π)/2212 weeks
108.00535 .05371 (108*2π)/2212 weeks
109-.0682 -.17995 (109*2π)/2212 weeks
110-.14043 .06111 (110*2π)/2212 weeks
111-.14043 -.06111 (111*2π)/2212 weeks
112-.0682 .17995 (112*2π)/2212 weeks
113.00535 -.05371 (113*2π)/2212 weeks
114-.12677 .0108 (114*2π)/2212 weeks
115.08547 .01766 (115*2π)/2212 weeks
116-.11534 -.01056 (116*2π)/2212 weeks
117-.10262 .04556 (117*2π)/2212 weeks
118-.12081 .00809 (118*2π)/2212 weeks
119-.08465 -.08908 (119*2π)/2212 weeks
120-.02043 .00774 (120*2π)/2212 weeks
121-.09744 .05261 (121*2π)/2212 weeks
122-.15491 -.11244 (122*2π)/2212 weeks
123-.13134 .00297 (123*2π)/2212 weeks
124-.06449 .02092 (124*2π)/2212 weeks
125.03665 .10135 (125*2π)/2212 weeks
126.00619 .06933 (126*2π)/2212 weeks
127-.13209 -.02932 (127*2π)/2212 weeks
128-.0588 -.08068 (128*2π)/2212 weeks
129-.12653 .06552 (129*2π)/2212 weeks
130-.05383 .04682 (130*2π)/2212 weeks
131-.10426 .07183 (131*2π)/2212 weeks
132-.12121 -.01117 (132*2π)/2212 weeks
133-.13245 .03117 (133*2π)/2212 weeks
134-.13653 .0404 (134*2π)/2212 weeks
135-.02032 .06081 (135*2π)/2212 weeks
136-.09028 .02026 (136*2π)/2212 weeks
137-.09976 .04631 (137*2π)/2212 weeks
138-.03324 .03062 (138*2π)/2212 weeks
139-.14717 .02261 (139*2π)/2212 weeks
140-.10539 .08974 (140*2π)/2212 weeks
141-.03205 .19588 (141*2π)/2212 weeks
142-.05902 .10614 (142*2π)/2212 weeks
143-.09887 .07298 (143*2π)/2212 weeks
144-.09906 -.06196 (144*2π)/2212 weeks
145-.25439 -.00573 (145*2π)/2212 weeks
146-.14761 .05368 (146*2π)/2212 weeks
147-.14202 .09606 (147*2π)/2212 weeks
148-.03464 .01811 (148*2π)/2211 weeks
149-.02594 .08784 (149*2π)/2211 weeks
150-.05749 .11226 (150*2π)/2211 weeks
151-.12349 .07243 (151*2π)/2211 weeks
152-.07363 .06227 (152*2π)/2211 weeks
153-.04343 .10654 (153*2π)/2211 weeks
154-.04306 -.01368 (154*2π)/2211 weeks
155-.03848 -.02224 (155*2π)/2211 weeks
156.0362 .03551 (156*2π)/2211 weeks
157-.07614 .03312 (157*2π)/2211 weeks
158-.21859 .05888 (158*2π)/2211 weeks
159-.03718 .07701 (159*2π)/2211 weeks
160-.01274 .03042 (160*2π)/2211 weeks
161-.09634 -.0438 (161*2π)/2211 weeks
162-.01469 .04717 (162*2π)/2211 weeks
163-.25699 .02125 (163*2π)/2211 weeks
164-.02477 .04526 (164*2π)/2211 weeks
165-.0252 -.02068 (165*2π)/2211 weeks
166-.1474 .13955 (166*2π)/2211 weeks
167.17982 .17734 (167*2π)/2211 weeks
168-.15593 -.07119 (168*2π)/2211 weeks
169-.22538 .02469 (169*2π)/2211 weeks
170-.01485 .09151 (170*2π)/2211 weeks
171-.12596 .03106 (171*2π)/2211 weeks
172-.08495 .06392 (172*2π)/2211 weeks
173.12132 .08689 (173*2π)/2211 weeks
174-.17635 .11688 (174*2π)/2211 weeks
175-.12025 .12952 (175*2π)/2211 weeks
176-.23527 .22407 (176*2π)/2211 weeks
177-.22265 .24258 (177*2π)/2211 weeks
178.07596 .21569 (178*2π)/2211 weeks
179-.16059 .05847 (179*2π)/2211 weeks
180-.21121 .27606 (180*2π)/2211 weeks
181-.01855 .05501 (181*2π)/2211 weeks
182-.21184 .12031 (182*2π)/2211 weeks
183-.04915 .26787 (183*2π)/2211 weeks
184-.00709 .17748 (184*2π)/2211 weeks
185.00771 .02406 (185*2π)/2211 weeks
186-.28078 .37402 (186*2π)/2211 weeks
187-.14477 .20604 (187*2π)/2211 weeks
188.05204 .12421 (188*2π)/2211 weeks
189-.14204 .09642 (189*2π)/2211 weeks
190.02517 .10319 (190*2π)/2211 weeks
191.02654 .34468 (191*2π)/2211 weeks
192-.39063 -.01644 (192*2π)/2211 weeks
193-.30812 .32712 (193*2π)/2211 weeks
194-.30372 .2463 (194*2π)/2211 weeks
195-.2285 .00628 (195*2π)/2211 weeks
196-.05974 .1016 (196*2π)/2211 weeks
197-.31188 .07468 (197*2π)/2211 weeks
198-.30544 .28953 (198*2π)/2211 weeks
199-.10438 .31525 (199*2π)/2211 weeks
200-.05433 .0903 (200*2π)/2211 weeks
201-.22687 .20164 (201*2π)/2211 weeks
202.24087 .05269 (202*2π)/2211 weeks
203.24433 .23955 (203*2π)/2211 weeks
204-.62839 -.31692 (204*2π)/2211 weeks
205-.09195 .33451 (205*2π)/2211 weeks
206-.02542 .73557 (206*2π)/2211 weeks
207.13878 .26999 (207*2π)/2211 weeks
208.25655 .73979 (208*2π)/2211 weeks
209-.50355 .06396 (209*2π)/2211 weeks
210-.45644 1.05127 (210*2π)/2211 weeks
211.37273 .10644 (211*2π)/2211 weeks
212-.79576 .27233 (212*2π)/2211 weeks
213.22287 .75827 (213*2π)/2211 weeks
214.54332 -.07039 (214*2π)/2211 weeks
215.07617 -.52372 (215*2π)/2211 weeks
216-1.1228 .53003 (216*2π)/2211 weeks
217-1.16401 .84419 (217*2π)/2211 weeks
218-2.49003 2.77748 (218*2π)/2211 weeks
2193.14694 2.76799 (219*2π)/2211 weeks



Back to list of Stocks