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# Fourier Analysis of DYN (Dynegy Inc)

DYN (Dynegy Inc) appears to have interesting cyclic behaviour every 26 weeks (1.238*sine), 24 weeks (.592*cosine), and 22 weeks (.366*cosine).

DYN (Dynegy Inc) has an average price of 19.18 (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 10/3/2012 to 4/9/2018 for DYN (Dynegy Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
019.18066   0
1-5.34006 8.7361 (1*2π)/289289 weeks
21.89159 -1.09483 (2*2π)/289145 weeks
31.05393 2.38885 (3*2π)/28996 weeks
4.32804 -.11896 (4*2π)/28972 weeks
5-2.40837 .69807 (5*2π)/28958 weeks
61.23125 -.46863 (6*2π)/28948 weeks
7-.55767 -.29036 (7*2π)/28941 weeks
8.00214 .62795 (8*2π)/28936 weeks
9.31929 -.21793 (9*2π)/28932 weeks
10.29634 -.23294 (10*2π)/28929 weeks
11.2704 1.23802 (11*2π)/28926 weeks
12-.59204 -.34111 (12*2π)/28924 weeks
13.36603 .29644 (13*2π)/28922 weeks
14.05793 .21536 (14*2π)/28921 weeks
15.10133 -.07091 (15*2π)/28919 weeks
16-.31671 -.17423 (16*2π)/28918 weeks
17.22034 .3335 (17*2π)/28917 weeks
18-.13777 -.05832 (18*2π)/28916 weeks
19.09433 -.159 (19*2π)/28915 weeks
20.2072 -.03633 (20*2π)/28914 weeks
21-.16155 .40116 (21*2π)/28914 weeks
22.07278 -.07167 (22*2π)/28913 weeks
23.17623 -.11346 (23*2π)/28913 weeks
24.15605 .58503 (24*2π)/28912 weeks
25-.11632 .05944 (25*2π)/28912 weeks
26.21343 -.10825 (26*2π)/28911 weeks
27-.00581 .25154 (27*2π)/28911 weeks
28-.21406 -.16011 (28*2π)/28910 weeks
29.23774 .1775 (29*2π)/28910 weeks
30-.28982 -.04326 (30*2π)/28910 weeks
31-.11879 .08596 (31*2π)/2899 weeks
32.22987 -.13313 (32*2π)/2899 weeks
33-.22457 .11057 (33*2π)/2899 weeks
34-.00193 -.0725 (34*2π)/2899 weeks
35.1654 .19419 (35*2π)/2898 weeks
36-.02512 .18612 (36*2π)/2898 weeks
37.07353 .19535 (37*2π)/2898 weeks
38.00052 -.04498 (38*2π)/2898 weeks
39.0401 .07431 (39*2π)/2897 weeks
40-.08242 .14169 (40*2π)/2897 weeks
41.0083 -.09081 (41*2π)/2897 weeks
42.14749 .07427 (42*2π)/2897 weeks
43-.18533 .10008 (43*2π)/2897 weeks
44.2257 -.04985 (44*2π)/2897 weeks
45-.02866 .07067 (45*2π)/2896 weeks
46-.14374 .01264 (46*2π)/2896 weeks
47.09012 .14175 (47*2π)/2896 weeks
48.1145 .04441 (48*2π)/2896 weeks
49-.00337 -.12915 (49*2π)/2896 weeks
50.13845 .23847 (50*2π)/2896 weeks
51-.018 -.06251 (51*2π)/2896 weeks
52-.10036 .10617 (52*2π)/2896 weeks
53.15107 -.01983 (53*2π)/2895 weeks
54-.14916 .06715 (54*2π)/2895 weeks
55.04003 -.09042 (55*2π)/2895 weeks
56.04551 .00291 (56*2π)/2895 weeks
57-.11016 .0862 (57*2π)/2895 weeks
58.05684 -.07234 (58*2π)/2895 weeks
59.03281 .11514 (59*2π)/2895 weeks
60.15946 -.04803 (60*2π)/2895 weeks
61-.10483 .00505 (61*2π)/2895 weeks
62.09688 .04872 (62*2π)/2895 weeks
63.01905 -.11036 (63*2π)/2895 weeks
64-.04104 .16549 (64*2π)/2895 weeks
65-.04644 .05222 (65*2π)/2894 weeks
66-.00763 .04322 (66*2π)/2894 weeks
67.03014 .02815 (67*2π)/2894 weeks
68.07346 .05211 (68*2π)/2894 weeks
69-.05618 -.08652 (69*2π)/2894 weeks
70.18448 .11867 (70*2π)/2894 weeks
71-.04353 -.00501 (71*2π)/2894 weeks
72.01127 .02093 (72*2π)/2894 weeks
73.03788 .05925 (73*2π)/2894 weeks
74.01757 .04113 (74*2π)/2894 weeks
75.06931 -.12815 (75*2π)/2894 weeks
76-.03452 .00028 (76*2π)/2894 weeks
77.05257 .03313 (77*2π)/2894 weeks
78.01445 .08572 (78*2π)/2894 weeks
79-.04003 -.02066 (79*2π)/2894 weeks
80.01045 .03693 (80*2π)/2894 weeks
81-.05167 .04043 (81*2π)/2894 weeks
82.02526 -.03197 (82*2π)/2894 weeks
83.07408 .06034 (83*2π)/2893 weeks
84-.05711 -.12208 (84*2π)/2893 weeks
85.12986 .09364 (85*2π)/2893 weeks
86.06273 -.04338 (86*2π)/2893 weeks
87-.02419 .04276 (87*2π)/2893 weeks
88.06584 -.02455 (88*2π)/2893 weeks
89-.06205 .11589 (89*2π)/2893 weeks
90.08305 -.02955 (90*2π)/2893 weeks
91.04061 .05261 (91*2π)/2893 weeks
92.01817 .05167 (92*2π)/2893 weeks
93-.02732 .00954 (93*2π)/2893 weeks
94.03156 .06431 (94*2π)/2893 weeks
95.02524 -.01641 (95*2π)/2893 weeks
96-.00606 -.01374 (96*2π)/2893 weeks
97.04997 -.04099 (97*2π)/2893 weeks
98.07294 -.02544 (98*2π)/2893 weeks
99-.00963 -.06385 (99*2π)/2893 weeks
100.11295 .04588 (100*2π)/2893 weeks
101.0281 .05923 (101*2π)/2893 weeks
102-.01982 .00102 (102*2π)/2893 weeks
103.02781 .0076 (103*2π)/2893 weeks
104.0315 -.02598 (104*2π)/2893 weeks
105.00497 -.00459 (105*2π)/2893 weeks
106.06696 .00509 (106*2π)/2893 weeks
107-.02863 .00519 (107*2π)/2893 weeks
108.07436 -.06042 (108*2π)/2893 weeks
109.07906 .024 (109*2π)/2893 weeks
110-.00724 -.03311 (110*2π)/2893 weeks
111.0844 -.0493 (111*2π)/2893 weeks
112-.06947 .04965 (112*2π)/2893 weeks
113.01406 .00066 (113*2π)/2893 weeks
114.07844 -.00891 (114*2π)/2893 weeks
115.0133 .02963 (115*2π)/2893 weeks
116.05566 -.02803 (116*2π)/2892 weeks
117-.00526 .05439 (117*2π)/2892 weeks
118.02964 -.01717 (118*2π)/2892 weeks
119.0359 .01205 (119*2π)/2892 weeks
120.02385 .02968 (120*2π)/2892 weeks
121-.01695 -.0644 (121*2π)/2892 weeks
122.05453 .03054 (122*2π)/2892 weeks
123-.05297 -.01906 (123*2π)/2892 weeks
124.08651 -.01423 (124*2π)/2892 weeks
125-.03084 -.01966 (125*2π)/2892 weeks
126.04533 .07797 (126*2π)/2892 weeks
127.05064 -.05306 (127*2π)/2892 weeks
128.05693 .00987 (128*2π)/2892 weeks
129-.03609 .00103 (129*2π)/2892 weeks
130.08162 .04514 (130*2π)/2892 weeks
131-.00435 -.03643 (131*2π)/2892 weeks
132.00614 .04339 (132*2π)/2892 weeks
133.05298 -.0605 (133*2π)/2892 weeks
134-.02592 .07777 (134*2π)/2892 weeks
135-.01936 -.1581 (135*2π)/2892 weeks
136.11541 .07961 (136*2π)/2892 weeks
137-.05511 -.09146 (137*2π)/2892 weeks
138.17567 .09148 (138*2π)/2892 weeks
139.02549 -.04462 (139*2π)/2892 weeks
140-.06517 .01744 (140*2π)/2892 weeks
141.09117 .01059 (141*2π)/2892 weeks
142-.00387 .00088 (142*2π)/2892 weeks
143-.00436 -.00663 (143*2π)/2892 weeks
144.01242 .05799 (144*2π)/2892 weeks
145.01242 -.05799 (145*2π)/2892 weeks
146-.00436 .00663 (146*2π)/2892 weeks
147-.00387 -.00088 (147*2π)/2892 weeks
148.09117 -.01059 (148*2π)/2892 weeks
149-.06517 -.01744 (149*2π)/2892 weeks
150.02549 .04462 (150*2π)/2892 weeks
151.17567 -.09148 (151*2π)/2892 weeks
152-.05511 .09146 (152*2π)/2892 weeks
153.11541 -.07961 (153*2π)/2892 weeks
154-.01936 .1581 (154*2π)/2892 weeks
155-.02592 -.07777 (155*2π)/2892 weeks
156.05298 .0605 (156*2π)/2892 weeks
157.00614 -.04339 (157*2π)/2892 weeks
158-.00435 .03643 (158*2π)/2892 weeks
159.08162 -.04514 (159*2π)/2892 weeks
160-.03609 -.00103 (160*2π)/2892 weeks
161.05693 -.00987 (161*2π)/2892 weeks
162.05064 .05306 (162*2π)/2892 weeks
163.04533 -.07797 (163*2π)/2892 weeks
164-.03084 .01966 (164*2π)/2892 weeks
165.08651 .01423 (165*2π)/2892 weeks
166-.05297 .01906 (166*2π)/2892 weeks
167.05453 -.03054 (167*2π)/2892 weeks
168-.01695 .0644 (168*2π)/2892 weeks
169.02385 -.02968 (169*2π)/2892 weeks
170.0359 -.01205 (170*2π)/2892 weeks
171.02964 .01717 (171*2π)/2892 weeks
172-.00526 -.05439 (172*2π)/2892 weeks
173.05566 .02803 (173*2π)/2892 weeks
174.0133 -.02963 (174*2π)/2892 weeks
175.07844 .00891 (175*2π)/2892 weeks
176.01406 -.00066 (176*2π)/2892 weeks
177-.06947 -.04965 (177*2π)/2892 weeks
178.0844 .0493 (178*2π)/2892 weeks
179-.00724 .03311 (179*2π)/2892 weeks
180.07906 -.024 (180*2π)/2892 weeks
181.07436 .06042 (181*2π)/2892 weeks
182-.02863 -.00519 (182*2π)/2892 weeks
183.06696 -.00509 (183*2π)/2892 weeks
184.00497 .00459 (184*2π)/2892 weeks
185.0315 .02598 (185*2π)/2892 weeks
186.02781 -.0076 (186*2π)/2892 weeks
187-.01982 -.00102 (187*2π)/2892 weeks
188.0281 -.05923 (188*2π)/2892 weeks
189.11295 -.04588 (189*2π)/2892 weeks
190-.00963 .06385 (190*2π)/2892 weeks
191.07294 .02544 (191*2π)/2892 weeks
192.04997 .04099 (192*2π)/2892 weeks
193-.00606 .01374 (193*2π)/2891 weeks
194.02524 .01641 (194*2π)/2891 weeks
195.03156 -.06431 (195*2π)/2891 weeks
196-.02732 -.00954 (196*2π)/2891 weeks
197.01817 -.05167 (197*2π)/2891 weeks
198.04061 -.05261 (198*2π)/2891 weeks
199.08305 .02955 (199*2π)/2891 weeks
200-.06205 -.11589 (200*2π)/2891 weeks
201.06584 .02455 (201*2π)/2891 weeks
202-.02419 -.04276 (202*2π)/2891 weeks
203.06273 .04338 (203*2π)/2891 weeks
204.12986 -.09364 (204*2π)/2891 weeks
205-.05711 .12208 (205*2π)/2891 weeks
206.07408 -.06034 (206*2π)/2891 weeks
207.02526 .03197 (207*2π)/2891 weeks
208-.05167 -.04043 (208*2π)/2891 weeks
209.01045 -.03693 (209*2π)/2891 weeks
210-.04003 .02066 (210*2π)/2891 weeks
211.01445 -.08572 (211*2π)/2891 weeks
212.05257 -.03313 (212*2π)/2891 weeks
213-.03452 -.00028 (213*2π)/2891 weeks
214.06931 .12815 (214*2π)/2891 weeks
215.01757 -.04113 (215*2π)/2891 weeks
216.03788 -.05925 (216*2π)/2891 weeks
217.01127 -.02093 (217*2π)/2891 weeks
218-.04353 .00501 (218*2π)/2891 weeks
219.18448 -.11867 (219*2π)/2891 weeks
220-.05618 .08652 (220*2π)/2891 weeks
221.07346 -.05211 (221*2π)/2891 weeks
222.03014 -.02815 (222*2π)/2891 weeks
223-.00763 -.04322 (223*2π)/2891 weeks
224-.04644 -.05222 (224*2π)/2891 weeks
225-.04104 -.16549 (225*2π)/2891 weeks
226.01905 .11036 (226*2π)/2891 weeks
227.09688 -.04872 (227*2π)/2891 weeks
228-.10483 -.00505 (228*2π)/2891 weeks
229.15946 .04803 (229*2π)/2891 weeks
230.03281 -.11514 (230*2π)/2891 weeks
231.05684 .07234 (231*2π)/2891 weeks
232-.11016 -.0862 (232*2π)/2891 weeks
233.04551 -.00291 (233*2π)/2891 weeks
234.04003 .09042 (234*2π)/2891 weeks
235-.14916 -.06715 (235*2π)/2891 weeks
236.15107 .01983 (236*2π)/2891 weeks
237-.10036 -.10617 (237*2π)/2891 weeks
238-.018 .06251 (238*2π)/2891 weeks
239.13845 -.23847 (239*2π)/2891 weeks
240-.00337 .12915 (240*2π)/2891 weeks
241.1145 -.04441 (241*2π)/2891 weeks
242.09012 -.14175 (242*2π)/2891 weeks
243-.14374 -.01264 (243*2π)/2891 weeks
244-.02866 -.07067 (244*2π)/2891 weeks
245.2257 .04985 (245*2π)/2891 weeks
246-.18533 -.10008 (246*2π)/2891 weeks
247.14749 -.07427 (247*2π)/2891 weeks
248.0083 .09081 (248*2π)/2891 weeks
249-.08242 -.14169 (249*2π)/2891 weeks
250.0401 -.07431 (250*2π)/2891 weeks
251.00052 .04498 (251*2π)/2891 weeks
252.07353 -.19535 (252*2π)/2891 weeks
253-.02512 -.18612 (253*2π)/2891 weeks
254.1654 -.19419 (254*2π)/2891 weeks
255-.00193 .0725 (255*2π)/2891 weeks
256-.22457 -.11057 (256*2π)/2891 weeks
257.22987 .13313 (257*2π)/2891 weeks
258-.11879 -.08596 (258*2π)/2891 weeks
259-.28982 .04326 (259*2π)/2891 weeks
260.23774 -.1775 (260*2π)/2891 weeks
261-.21406 .16011 (261*2π)/2891 weeks
262-.00581 -.25154 (262*2π)/2891 weeks
263.21343 .10825 (263*2π)/2891 weeks
264-.11632 -.05944 (264*2π)/2891 weeks
265.15605 -.58503 (265*2π)/2891 weeks
266.17623 .11346 (266*2π)/2891 weeks
267.07278 .07167 (267*2π)/2891 weeks
268-.16155 -.40116 (268*2π)/2891 weeks
269.2072 .03633 (269*2π)/2891 weeks
270.09433 .159 (270*2π)/2891 weeks
271-.13777 .05832 (271*2π)/2891 weeks
272.22034 -.3335 (272*2π)/2891 weeks
273-.31671 .17423 (273*2π)/2891 weeks
274.10133 .07091 (274*2π)/2891 weeks
275.05793 -.21536 (275*2π)/2891 weeks
276.36603 -.29644 (276*2π)/2891 weeks
277-.59204 .34111 (277*2π)/2891 weeks
278.2704 -1.23802 (278*2π)/2891 weeks
279.29634 .23294 (279*2π)/2891 weeks
280.31929 .21793 (280*2π)/2891 weeks
281.00214 -.62795 (281*2π)/2891 weeks
282-.55767 .29036 (282*2π)/2891 weeks
2831.23125 .46863 (283*2π)/2891 weeks
284-2.40837 -.69807 (284*2π)/2891 weeks
285.32804 .11896 (285*2π)/2891 weeks
2861.05393 -2.38885 (286*2π)/2891 weeks
2871.89159 1.09483 (287*2π)/2891 weeks