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Fourier Analysis of PNBC (Princeton National Bancorp)


PNBC (Princeton National Bancorp) appears to have interesting cyclic behaviour every 2 weeks (.0004*sine), 2 weeks (.0004*sine), and 8 weeks (.0004*sine).

PNBC (Princeton National Bancorp) has an average price of (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 1/25/2016 to 1/2/2018 for PNBC (Princeton National Bancorp), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0.00315   0 
1-.0003 .00026 (1*2π)/100100 weeks
2.00003 -.00014 (2*2π)/10050 weeks
3.00024 .00073 (3*2π)/10033 weeks
4-.00039 .0001 (4*2π)/10025 weeks
5.00021 -.00025 (5*2π)/10020 weeks
6-.0004 .00047 (6*2π)/10017 weeks
7-.00018 -.00015 (7*2π)/10014 weeks
8-.00034 -.0002 (8*2π)/10013 weeks
9.00019 -.00006 (9*2π)/10011 weeks
10.00006 .00029 (10*2π)/10010 weeks
11.00036 -.00034 (11*2π)/1009 weeks
12.00013 .00004 (12*2π)/1008 weeks
13.00032 .0004 (13*2π)/1008 weeks
14-.00003 -.00012 (14*2π)/1007 weeks
15-.00031 .00011 (15*2π)/1007 weeks
16.00003 .00012 (16*2π)/1006 weeks
17-.00013 .00006 (17*2π)/1006 weeks
18-.00002 -.00028 (18*2π)/1006 weeks
19.00001 .00002 (19*2π)/1005 weeks
20.00027 -.00003 (20*2π)/1005 weeks
21-.00005 -.00002 (21*2π)/1005 weeks
22.00002 .00009 (22*2π)/1005 weeks
23  .00013 (23*2π)/1004 weeks
24-.00016 .00004 (24*2π)/1004 weeks
25-.00008 .00001 (25*2π)/1004 weeks
26-.00008 -.00008 (26*2π)/1004 weeks
27  -.00005 (27*2π)/1004 weeks
28.00016 -.00017 (28*2π)/1004 weeks
29.00011 -.00003 (29*2π)/1003 weeks
30.00017 .00012 (30*2π)/1003 weeks
31.00016 -.00002 (31*2π)/1003 weeks
32.00007 .00018 (32*2π)/1003 weeks
33-.00021 .00017 (33*2π)/1003 weeks
34-.00009 .00021 (34*2π)/1003 weeks
35-.00011 -.0002 (35*2π)/1003 weeks
36-.00022 .00012 (36*2π)/1003 weeks
37.00001 -.00027 (37*2π)/1003 weeks
38.00004 -.00023 (38*2π)/1003 weeks
39.00023 -.00013 (39*2π)/1003 weeks
40.00005 .00003 (40*2π)/1003 weeks
41.00027 .00007 (41*2π)/1002 weeks
42-.00003 .0001 (42*2π)/1002 weeks
43.00007 .00043 (43*2π)/1002 weeks
44-.00016 -.00009 (44*2π)/1002 weeks
45-.00015 .00018 (45*2π)/1002 weeks
46-.0001 -.00027 (46*2π)/1002 weeks
47-.00015 .00002 (47*2π)/1002 weeks
48.00018 -.00031 (48*2π)/1002 weeks
49  -.00003 (49*2π)/1002 weeks
50.00033   (50*2π)/1002 weeks
51  .00003 (51*2π)/1002 weeks
52.00018 .00031 (52*2π)/1002 weeks
53-.00015 -.00002 (53*2π)/1002 weeks
54-.0001 .00027 (54*2π)/1002 weeks
55-.00015 -.00018 (55*2π)/1002 weeks
56-.00016 .00009 (56*2π)/1002 weeks
57.00007 -.00043 (57*2π)/1002 weeks
58-.00003 -.0001 (58*2π)/1002 weeks
59.00027 -.00007 (59*2π)/1002 weeks
60.00005 -.00003 (60*2π)/1002 weeks
61.00023 .00013 (61*2π)/1002 weeks
62.00004 .00023 (62*2π)/1002 weeks
63.00001 .00027 (63*2π)/1002 weeks
64-.00022 -.00012 (64*2π)/1002 weeks
65-.00011 .0002 (65*2π)/1002 weeks
66-.00009 -.00021 (66*2π)/1002 weeks
67-.00021 -.00017 (67*2π)/1001 weeks
68.00007 -.00018 (68*2π)/1001 weeks
69.00016 .00002 (69*2π)/1001 weeks
70.00017 -.00012 (70*2π)/1001 weeks
71.00011 .00003 (71*2π)/1001 weeks
72.00016 .00017 (72*2π)/1001 weeks
73  .00005 (73*2π)/1001 weeks
74-.00008 .00008 (74*2π)/1001 weeks
75-.00008 -.00001 (75*2π)/1001 weeks
76-.00016 -.00004 (76*2π)/1001 weeks
77  -.00013 (77*2π)/1001 weeks
78.00002 -.00009 (78*2π)/1001 weeks
79-.00005 .00002 (79*2π)/1001 weeks
80.00027 .00003 (80*2π)/1001 weeks
81.00001 -.00002 (81*2π)/1001 weeks
82-.00002 .00028 (82*2π)/1001 weeks
83-.00013 -.00006 (83*2π)/1001 weeks
84.00003 -.00012 (84*2π)/1001 weeks
85-.00031 -.00011 (85*2π)/1001 weeks
86-.00003 .00012 (86*2π)/1001 weeks
87.00032 -.0004 (87*2π)/1001 weeks
88.00013 -.00004 (88*2π)/1001 weeks
89.00036 .00034 (89*2π)/1001 weeks
90.00006 -.00029 (90*2π)/1001 weeks
91.00019 .00006 (91*2π)/1001 weeks
92-.00034 .0002 (92*2π)/1001 weeks
93-.00018 .00015 (93*2π)/1001 weeks
94-.0004 -.00047 (94*2π)/1001 weeks
95.00021 .00025 (95*2π)/1001 weeks
96-.00039 -.0001 (96*2π)/1001 weeks
97.00024 -.00073 (97*2π)/1001 weeks
98.00003 .00014 (98*2π)/1001 weeks



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