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Fourier Analysis of AEP (American Electric Power Company)


AEP (American Electric Power Company) appears to have interesting cyclic behaviour every 247 weeks (2.8743*sine), 154 weeks (2.1734*sine), and 224 weeks (2.0082*sine).

AEP (American Electric Power Company) has an average price of 14.81 (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 1/2/1970 to 4/17/2017 for AEP (American Electric Power Company), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
014.81048   0 
16.55917 -13.42087 (1*2π)/24682,468 weeks
24.18338 -6.47698 (2*2π)/24681,234 weeks
32.66543 -6.12615 (3*2π)/2468823 weeks
41.51421 -4.58275 (4*2π)/2468617 weeks
51.88432 -4.69468 (5*2π)/2468494 weeks
6.29903 -4.44168 (6*2π)/2468411 weeks
7-.46995 -3.01069 (7*2π)/2468353 weeks
8-.07014 -2.07986 (8*2π)/2468309 weeks
9.7591 -1.82882 (9*2π)/2468274 weeks
10.44049 -2.87429 (10*2π)/2468247 weeks
11-.39112 -2.00823 (11*2π)/2468224 weeks
12.2131 -1.72568 (12*2π)/2468206 weeks
13-.39751 -1.7243 (13*2π)/2468190 weeks
14.01128 -.86906 (14*2π)/2468176 weeks
15.8681 -1.24077 (15*2π)/2468165 weeks
16.01085 -2.17344 (16*2π)/2468154 weeks
17-.55773 -1.0249 (17*2π)/2468145 weeks
18.19848 -.94992 (18*2π)/2468137 weeks
19-.01583 -1.06856 (19*2π)/2468130 weeks
20.28679 -.91972 (20*2π)/2468123 weeks
21.21197 -1.32387 (21*2π)/2468118 weeks
22-.03898 -1.24584 (22*2π)/2468112 weeks
23-.24278 -1.02569 (23*2π)/2468107 weeks
24.02409 -.86114 (24*2π)/2468103 weeks
25-.05765 -1.07088 (25*2π)/246899 weeks
26-.1746 -.94414 (26*2π)/246895 weeks
27-.31268 -.79994 (27*2π)/246891 weeks
28-.13081 -.74609 (28*2π)/246888 weeks
29-.25026 -.74851 (29*2π)/246885 weeks
30-.43436 -.65034 (30*2π)/246882 weeks
31-.19183 -.22408 (31*2π)/246880 weeks
32.13594 -.46869 (32*2π)/246877 weeks
33-.10347 -.56813 (33*2π)/246875 weeks
34.01088 -.45728 (34*2π)/246873 weeks
35-.08502 -.51382 (35*2π)/246871 weeks
36-.03447 -.3649 (36*2π)/246869 weeks
37.03488 -.3565 (37*2π)/246867 weeks
38.16239 -.49244 (38*2π)/246865 weeks
39-.11132 -.56699 (39*2π)/246863 weeks
40-.09988 -.31363 (40*2π)/246862 weeks
41.09716 -.28381 (41*2π)/246860 weeks
42.08771 -.42433 (42*2π)/246859 weeks
43.00931 -.32467 (43*2π)/246857 weeks
44.24566 -.32122 (44*2π)/246856 weeks
45.12985 -.53112 (45*2π)/246855 weeks
46.08147 -.37586 (46*2π)/246854 weeks
47.14151 -.49683 (47*2π)/246853 weeks
48.01603 -.45215 (48*2π)/246851 weeks
49.04648 -.41281 (49*2π)/246850 weeks
50.07309 -.371 (50*2π)/246849 weeks
51.11536 -.47747 (51*2π)/246848 weeks
52-.0684 -.5029 (52*2π)/246847 weeks
53-.02922 -.33166 (53*2π)/246847 weeks
54.02371 -.42252 (54*2π)/246846 weeks
55-.09782 -.34191 (55*2π)/246845 weeks
56.01144 -.20401 (56*2π)/246844 weeks
57.09254 -.30728 (57*2π)/246843 weeks
58.07155 -.31289 (58*2π)/246843 weeks
59.11568 -.29248 (59*2π)/246842 weeks
60.12138 -.36599 (60*2π)/246841 weeks
61.13518 -.38636 (61*2π)/246840 weeks
62.07335 -.43715 (62*2π)/246840 weeks
63.0502 -.3998 (63*2π)/246839 weeks
64.05565 -.42186 (64*2π)/246839 weeks
65.03168 -.42457 (65*2π)/246838 weeks
66-.0158 -.42137 (66*2π)/246837 weeks
67-.0514 -.4362 (67*2π)/246837 weeks
68-.114 -.25692 (68*2π)/246836 weeks
69.07645 -.28555 (69*2π)/246836 weeks
70-.00527 -.38366 (70*2π)/246835 weeks
71-.00492 -.29632 (71*2π)/246835 weeks
72.05091 -.36833 (72*2π)/246834 weeks
73-.05937 -.43234 (73*2π)/246834 weeks
74-.11753 -.30178 (74*2π)/246833 weeks
75-.04136 -.28371 (75*2π)/246833 weeks
76-.05067 -.33568 (76*2π)/246832 weeks
77-.16294 -.27967 (77*2π)/246832 weeks
78-.08419 -.08078 (78*2π)/246832 weeks
79.10113 -.12674 (79*2π)/246831 weeks
80.15425 -.26385 (80*2π)/246831 weeks
81.06572 -.31755 (81*2π)/246830 weeks
82.08412 -.3441 (82*2π)/246830 weeks
83-.04042 -.36403 (83*2π)/246830 weeks
84-.01512 -.23538 (84*2π)/246829 weeks
85.0781 -.33053 (85*2π)/246829 weeks
86.02756 -.38142 (86*2π)/246829 weeks
87-.09943 -.40107 (87*2π)/246828 weeks
88-.13996 -.28967 (88*2π)/246828 weeks
89-.04217 -.21212 (89*2π)/246828 weeks
90-.06205 -.29724 (90*2π)/246827 weeks
91-.0824 -.21678 (91*2π)/246827 weeks
92.01644 -.25106 (92*2π)/246827 weeks
93-.08669 -.3101 (93*2π)/246827 weeks
94-.09961 -.22048 (94*2π)/246826 weeks
95-.03587 -.1756 (95*2π)/246826 weeks
96-.04846 -.25643 (96*2π)/246826 weeks
97-.04976 -.16861 (97*2π)/246825 weeks
98.01504 -.24663 (98*2π)/246825 weeks
99-.08693 -.26673 (99*2π)/246825 weeks
100-.02353 -.18728 (100*2π)/246825 weeks
101-.08531 -.26054 (101*2π)/246824 weeks
102-.08995 -.16977 (102*2π)/246824 weeks
103-.03467 -.1496 (103*2π)/246824 weeks
104.01674 -.20022 (104*2π)/246824 weeks
105-.02434 -.23091 (105*2π)/246824 weeks
106-.074 -.24891 (106*2π)/246823 weeks
107-.09728 -.19181 (107*2π)/246823 weeks
108-.06064 -.15283 (108*2π)/246823 weeks
109-.0257 -.16789 (109*2π)/246823 weeks
110-.03589 -.2133 (110*2π)/246822 weeks
111-.08943 -.16858 (111*2π)/246822 weeks
112-.03993 -.13263 (112*2π)/246822 weeks
113-.0431 -.16731 (113*2π)/246822 weeks
114-.02812 -.10758 (114*2π)/246822 weeks
115.01784 -.14666 (115*2π)/246821 weeks
116-.0071 -.19171 (116*2π)/246821 weeks
117-.05923 -.15479 (117*2π)/246821 weeks
118-.0026 -.12611 (118*2π)/246821 weeks
119.01064 -.16532 (119*2π)/246821 weeks
120-.00639 -.16146 (120*2π)/246821 weeks
121-.00109 -.12217 (121*2π)/246820 weeks
122.06387 -.18751 (122*2π)/246820 weeks
123.01401 -.23604 (123*2π)/246820 weeks
124-.09391 -.18788 (124*2π)/246820 weeks
125.00968 -.09736 (125*2π)/246820 weeks
126.05749 -.18733 (126*2π)/246820 weeks
127.00363 -.22924 (127*2π)/246819 weeks
128-.02367 -.20526 (128*2π)/246819 weeks
129-.01818 -.18122 (129*2π)/246819 weeks
130-.05375 -.2123 (130*2π)/246819 weeks
131-.03601 -.12944 (131*2π)/246819 weeks
132.02264 -.18288 (132*2π)/246819 weeks
133-.06718 -.23396 (133*2π)/246819 weeks
134-.07857 -.14374 (134*2π)/246818 weeks
135-.04593 -.10987 (135*2π)/246818 weeks
136.04202 -.13956 (136*2π)/246818 weeks
137-.0043 -.22039 (137*2π)/246818 weeks
138-.04594 -.18192 (138*2π)/246818 weeks
139-.05707 -.1607 (139*2π)/246818 weeks
140-.04408 -.15756 (140*2π)/246818 weeks
141-.04615 -.10564 (141*2π)/246818 weeks
142.03607 -.13362 (142*2π)/246817 weeks
143-.00149 -.24121 (143*2π)/246817 weeks
144-.11062 -.16761 (144*2π)/246817 weeks
145-.03581 -.12248 (145*2π)/246817 weeks
146-.05269 -.16991 (146*2π)/246817 weeks
147-.04872 -.07932 (147*2π)/246817 weeks
148.03511 -.15816 (148*2π)/246817 weeks
149-.0392 -.19313 (149*2π)/246817 weeks
150-.07176 -.11635 (150*2π)/246816 weeks
151-.0158 -.13765 (151*2π)/246816 weeks
152-.0385 -.13032 (152*2π)/246816 weeks
153-.01632 -.12106 (153*2π)/246816 weeks
154.00083 -.19688 (154*2π)/246816 weeks
155-.07452 -.16619 (155*2π)/246816 weeks
156-.07712 -.16172 (156*2π)/246816 weeks
157-.11079 -.11614 (157*2π)/246816 weeks
158-.07209 -.05135 (158*2π)/246816 weeks
159-.02484 -.10254 (159*2π)/246816 weeks
160-.05655 -.05559 (160*2π)/246815 weeks
161.02152 -.06769 (161*2π)/246815 weeks
162.00823 -.11998 (162*2π)/246815 weeks
163-.02835 -.09717 (163*2π)/246815 weeks
164.03518 -.06844 (164*2π)/246815 weeks
165.01924 -.15111 (165*2π)/246815 weeks
166-.00437 -.09548 (166*2π)/246815 weeks
167.04873 -.12565 (167*2π)/246815 weeks
168.02187 -.17327 (168*2π)/246815 weeks
169-.01898 -.16945 (169*2π)/246815 weeks
170-.03492 -.1496 (170*2π)/246815 weeks
171-.02604 -.15623 (171*2π)/246814 weeks
172-.07094 -.14029 (172*2π)/246814 weeks
173-.041 -.09836 (173*2π)/246814 weeks
174-.02493 -.11633 (174*2π)/246814 weeks
175-.01868 -.09777 (175*2π)/246814 weeks
176.00318 -.12336 (176*2π)/246814 weeks
177-.0236 -.1342 (177*2π)/246814 weeks
178-.00995 -.10536 (178*2π)/246814 weeks
179-.01138 -.15087 (179*2π)/246814 weeks
180-.04168 -.1034 (180*2π)/246814 weeks
181.01502 -.12009 (181*2π)/246814 weeks
182-.04314 -.17065 (182*2π)/246814 weeks
183-.06898 -.08875 (183*2π)/246813 weeks
184-.00561 -.08323 (184*2π)/246813 weeks
185-.00361 -.13334 (185*2π)/246813 weeks
186-.05796 -.08483 (186*2π)/246813 weeks
187.03374 -.06622 (187*2π)/246813 weeks
188.04251 -.14164 (188*2π)/246813 weeks
189-.00399 -.12271 (189*2π)/246813 weeks
190.02709 -.12852 (190*2π)/246813 weeks
191.02393 -.1899 (191*2π)/246813 weeks
192-.06297 -.17905 (192*2π)/246813 weeks
193-.02907 -.12237 (193*2π)/246813 weeks
194-.00823 -.16838 (194*2π)/246813 weeks
195-.05677 -.17153 (195*2π)/246813 weeks
196-.06261 -.15139 (196*2π)/246813 weeks
197-.08086 -.13484 (197*2π)/246813 weeks
198-.05895 -.10624 (198*2π)/246812 weeks
199-.05898 -.13734 (199*2π)/246812 weeks
200-.07551 -.09057 (200*2π)/246812 weeks
201-.05082 -.11902 (201*2π)/246812 weeks
202-.07517 -.10183 (202*2π)/246812 weeks
203-.05557 -.07029 (203*2π)/246812 weeks
204-.03788 -.10006 (204*2π)/246812 weeks
205-.05931 -.09684 (205*2π)/246812 weeks
206-.0406 -.07562 (206*2π)/246812 weeks
207-.03903 -.09815 (207*2π)/246812 weeks
208-.03697 -.07936 (208*2π)/246812 weeks
209-.03739 -.10856