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Fourier Analysis of DYN (Dynegy Inc. Common Stock)


DYN (Dynegy Inc. Common Stock) appears to have interesting cyclic behaviour every 12 weeks (.5213*sine), 17 weeks (.5181*cosine), and 23 weeks (.4897*cosine).

DYN (Dynegy Inc. Common Stock) has an average price of 21.81 (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 10/3/2012 to 1/17/2017 for DYN (Dynegy Inc. Common Stock), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
021.80831   0 
1-7.90521 2.69085 (1*2π)/225225 weeks
22.4359 2.28423 (2*2π)/225113 weeks
3-.62485 .58411 (3*2π)/22575 weeks
4-3.25012 .30754 (4*2π)/22556 weeks
5.3063 1.56851 (5*2π)/22545 weeks
6.65938 .67492 (6*2π)/22538 weeks
7.35661 -.07805 (7*2π)/22532 weeks
8.89573 .04682 (8*2π)/22528 weeks
9-1.17845 .90923 (9*2π)/22525 weeks
10.48975 .30723 (10*2π)/22523 weeks
11-.10499 .44246 (11*2π)/22520 weeks
12.01366 .44619 (12*2π)/22519 weeks
13.51805 .09842 (13*2π)/22517 weeks
14-.17627 .02254 (14*2π)/22516 weeks
15.21991 -.02558 (15*2π)/22515 weeks
16.38563 .45808 (16*2π)/22514 weeks
17.03616 -.14658 (17*2π)/22513 weeks
18.38034 -.13448 (18*2π)/22513 weeks
19-.24875 .52128 (19*2π)/22512 weeks
20.01586 -.07805 (20*2π)/22511 weeks
21.00041 .46776 (21*2π)/22511 weeks
22-.04359 -.19957 (22*2π)/22510 weeks
23-.21085 .48537 (23*2π)/22510 weeks
24.00941 .16912 (24*2π)/2259 weeks
25.39503 .02107 (25*2π)/2259 weeks
26-.12495 -.05792 (26*2π)/2259 weeks
27.2862 .0429 (27*2π)/2258 weeks
28-.03103 .18468 (28*2π)/2258 weeks
29-.04171 .23885 (29*2π)/2258 weeks
30.11929 .07304 (30*2π)/2258 weeks
31-.00482 .20794 (31*2π)/2257 weeks
32.07728 -.10161 (32*2π)/2257 weeks
33.14216 .25553 (33*2π)/2257 weeks
34.11319 -.23559 (34*2π)/2257 weeks
35.0093 .13 (35*2π)/2256 weeks
36-.04354 -.10273 (36*2π)/2256 weeks
37-.02564 .04898 (37*2π)/2256 weeks
38-.11303 -.00821 (38*2π)/2256 weeks
39.0865 .38215 (39*2π)/2256 weeks
40.11842 .09028 (40*2π)/2256 weeks
41.02438 -.11191 (41*2π)/2255 weeks
42-.18212 .16497 (42*2π)/2255 weeks
43.08375 -.01161 (43*2π)/2255 weeks
44.05989 .15239 (44*2π)/2255 weeks
45.01407 -.12247 (45*2π)/2255 weeks
46-.00591 .12801 (46*2π)/2255 weeks
47.17119 .16998 (47*2π)/2255 weeks
48.15599 -.06672 (48*2π)/2255 weeks
49.04725 -.10266 (49*2π)/2255 weeks
50-.05298 .15802 (50*2π)/2255 weeks
51-.00826 .0325 (51*2π)/2254 weeks
52.02231 .01242 (52*2π)/2254 weeks
53.06656 .07695 (53*2π)/2254 weeks
54.10478 -.1819 (54*2π)/2254 weeks
55-.08762 .1325 (55*2π)/2254 weeks
56.01406 .02874 (56*2π)/2254 weeks
57.00812 .06213 (57*2π)/2254 weeks
58-.08618 -.02096 (58*2π)/2254 weeks
59.03415 .10201 (59*2π)/2254 weeks
60.10162 .07532 (60*2π)/2254 weeks
61-.0234 .12496 (61*2π)/2254 weeks
62.05874 .02982 (62*2π)/2254 weeks
63-.03354 .06092 (63*2π)/2254 weeks
64.06246 -.03458 (64*2π)/2254 weeks
65-.06571 .10172 (65*2π)/2253 weeks
66.24793 .0385 (66*2π)/2253 weeks
67.10462 -.01928 (67*2π)/2253 weeks
68-.01432 .00528 (68*2π)/2253 weeks
69.09339 .15487 (69*2π)/2253 weeks
70.09124 -.07447 (70*2π)/2253 weeks
71.04812 .05824 (71*2π)/2253 weeks
72-.00348 .06592 (72*2π)/2253 weeks
73.06688 .03007 (73*2π)/2253 weeks
74.02439 -.02836 (74*2π)/2253 weeks
75-.00151 -.05743 (75*2π)/2253 weeks
76.06649 -.04229 (76*2π)/2253 weeks
77-.00685 -.03925 (77*2π)/2253 weeks
78.1249 .09356 (78*2π)/2253 weeks
79.00104 .07784 (79*2π)/2253 weeks
80.04666 .00472 (80*2π)/2253 weeks
81.04828 -.01719 (81*2π)/2253 weeks
82.02512 -.02646 (82*2π)/2253 weeks
83.01227 .06758 (83*2π)/2253 weeks
84.06993 -.07522 (84*2π)/2253 weeks
85.06505 .06608 (85*2π)/2253 weeks
86.03186 -.05851 (86*2π)/2253 weeks
87.02298 .12514 (87*2π)/2253 weeks
88.04945 -.01273 (88*2π)/2253 weeks
89.11501 .03258 (89*2π)/2253 weeks
90.03584 -.02358 (90*2π)/2253 weeks
91.03928 .08412 (91*2π)/2252 weeks
92.06785 -.01024 (92*2π)/2252 weeks
93.05896 .02396 (93*2π)/2252 weeks
94-.0307 -.01368 (94*2π)/2252 weeks
95.09573 .0593 (95*2π)/2252 weeks
96-.00393 -.07402 (96*2π)/2252 weeks
97.02504 .07585 (97*2π)/2252 weeks
98.11019 .07144 (98*2π)/2252 weeks
99.09965 -.04573 (99*2π)/2252 weeks
100.06755 .06305 (100*2π)/2252 weeks
101.13147 -.03009 (101*2π)/2252 weeks
102.01409 -.05304 (102*2π)/2252 weeks
103-.02285 .00872 (103*2π)/2252 weeks
104.11278 .06477 (104*2π)/2252 weeks
105-.0482 -.175 (105*2π)/2252 weeks
106.11922 .12686 (106*2π)/2252 weeks
107.17276 -.17973 (107*2π)/2252 weeks
108-.02959 .0235 (108*2π)/2252 weeks
109-.05699 .03863 (109*2π)/2252 weeks
110.08809 .08411 (110*2π)/2252 weeks
111.03803 .0231 (111*2π)/2252 weeks
112.07168 .05973 (112*2π)/2252 weeks
113.07168 -.05973 (113*2π)/2252 weeks
114.03803 -.0231 (114*2π)/2252 weeks
115.08809 -.08411 (115*2π)/2252 weeks
116-.05699 -.03863 (116*2π)/2252 weeks
117-.02959 -.0235 (117*2π)/2252 weeks
118.17276 .17973 (118*2π)/2252 weeks
119.11922 -.12686 (119*2π)/2252 weeks
120-.0482 .175 (120*2π)/2252 weeks
121.11278 -.06477 (121*2π)/2252 weeks
122-.02285 -.00872 (122*2π)/2252 weeks
123.01409 .05304 (123*2π)/2252 weeks
124.13147 .03009 (124*2π)/2252 weeks
125.06755 -.06305 (125*2π)/2252 weeks
126.09965 .04573 (126*2π)/2252 weeks
127.11019 -.07144 (127*2π)/2252 weeks
128.02504 -.07585 (128*2π)/2252 weeks
129-.00393 .07402 (129*2π)/2252 weeks
130.09573 -.0593 (130*2π)/2252 weeks
131-.0307 .01368 (131*2π)/2252 weeks
132.05896 -.02396 (132*2π)/2252 weeks
133.06785 .01024 (133*2π)/2252 weeks
134.03928 -.08412 (134*2π)/2252 weeks
135.03584 .02358 (135*2π)/2252 weeks
136.11501 -.03258 (136*2π)/2252 weeks
137.04945 .01273 (137*2π)/2252 weeks
138.02298 -.12514 (138*2π)/2252 weeks
139.03186 .05851 (139*2π)/2252 weeks
140.06505 -.06608 (140*2π)/2252 weeks
141.06993 .07522 (141*2π)/2252 weeks
142.01227 -.06758 (142*2π)/2252 weeks
143.02512 .02646 (143*2π)/2252 weeks
144.04828 .01719 (144*2π)/2252 weeks
145.04666 -.00472 (145*2π)/2252 weeks
146.00104 -.07784 (146*2π)/2252 weeks
147.1249 -.09356 (147*2π)/2252 weeks
148-.00685 .03925 (148*2π)/2252 weeks
149.06649 .04229 (149*2π)/2252 weeks
150-.00151 .05743 (150*2π)/2252 weeks
151.02439 .02836 (151*2π)/2251 weeks
152.06688 -.03007 (152*2π)/2251 weeks
153-.00348 -.06592 (153*2π)/2251 weeks
154.04812 -.05824 (154*2π)/2251 weeks
155.09124 .07447 (155*2π)/2251 weeks
156.09339 -.15487 (156*2π)/2251 weeks
157-.01432 -.00528 (157*2π)/2251 weeks
158.10462 .01928 (158*2π)/2251 weeks
159.24793 -.0385 (159*2π)/2251 weeks
160-.06571 -.10172 (160*2π)/2251 weeks
161.06246 .03458 (161*2π)/2251 weeks
162-.03354 -.06092 (162*2π)/2251 weeks
163.05874 -.02982 (163*2π)/2251 weeks
164-.0234 -.12496 (164*2π)/2251 weeks
165.10162 -.07532 (165*2π)/2251 weeks
166.03415 -.10201 (166*2π)/2251 weeks
167-.08618 .02096 (167*2π)/2251 weeks
168.00812 -.06213 (168*2π)/2251 weeks
169.01406 -.02874 (169*2π)/2251 weeks
170-.08762 -.1325 (170*2π)/2251 weeks
171.10478 .1819 (171*2π)/2251 weeks
172.06656 -.07695 (172*2π)/2251 weeks
173.02231 -.01242 (173*2π)/2251 weeks
174-.00826 -.0325 (174*2π)/2251 weeks
175-.05298 -.15802 (175*2π)/2251 weeks
176.04725 .10266 (176*2π)/2251 weeks
177.15599 .06672 (177*2π)/2251 weeks
178.17119 -.16998 (178*2π)/2251 weeks
179-.00591 -.12801 (179*2π)/2251 weeks
180.01407 .12247 (180*2π)/2251 weeks
181.05989 -.15239 (181*2π)/2251 weeks
182.08375 .01161 (182*2π)/2251 weeks
183-.18212 -.16497 (183*2π)/2251 weeks
184.02438 .11191 (184*2π)/2251 weeks
185.11842 -.09028 (185*2π)/2251 weeks
186.0865 -.38215 (186*2π)/2251 weeks
187-.11303 .00821 (187*2π)/2251 weeks
188-.02564 -.04898 (188*2π)/2251 weeks
189-.04354 .10273 (189*2π)/2251 weeks
190.0093 -.13 (190*2π)/2251 weeks
191.11319 .23559 (191*2π)/2251 weeks
192.14216 -.25553 (192*2π)/2251 weeks
193.07728 .10161 (193*2π)/2251 weeks
194-.00482 -.20794 (194*2π)/2251 weeks
195.11929 -.07304 (195*2π)/2251 weeks
196-.04171 -.23885 (196*2π)/2251 weeks
197-.03103 -.18468 (197*2π)/2251 weeks
198.2862 -.0429 (198*2π)/2251 weeks
199-.12495 .05792 (199*2π)/2251 weeks
200.39503 -.02107 (200*2π)/2251 weeks
201.00941 -.16912 (201*2π)/2251 weeks
202-.21085 -.48537 (202*2π)/2251 weeks
203-.04359 .19957 (203*2π)/2251 weeks
204.00041 -.46776 (204*2π)/2251 weeks
205.01586 .07805 (205*2π)/2251 weeks
206-.24875 -.52128 (206*2π)/2251 weeks
207.38034 .13448 (207*2π)/2251 weeks
208.03616 .14658 (208*2π)/2251 weeks
209.38563 -.45808 (209*2π)/2251 weeks
210.21991 .02558 (210*2π)/2251 weeks
211-.17627 -.02254 (211*2π)/2251 weeks
212.51805 -.09842 (212*2π)/2251 weeks
213.01366 -.44619 (213*2π)/2251 weeks
214-.10499 -.44246 (214*2π)/2251 weeks
215.48975 -.30723 (215*2π)/2251 weeks
216-1.17845 -.90923 (216*2π)/2251 weeks
217.89573 -.04682 (217*2π)/2251 weeks
218.35661 .07805 (218*2π)/2251 weeks
219.65938 -.67492 (219*2π)/2251 weeks
220.3063 -1.56851 (220*2π)/2251 weeks
221-3.25012 -.30754 (221*2π)/2251 weeks
222-.62485 -.58411 (222*2π)/2251 weeks
2232.4359 -2.28423 (223*2π)/2251 weeks

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