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Fourier Analysis of PNBC (PRINCETON NATIONA)


PNBC (PRINCETON NATIONA) appears to have interesting cyclic behaviour every 8 weeks (.0005*cosine), 2 weeks (.0004*cosine), and 2 weeks (.0004*cosine).

PNBC (PRINCETON NATIONA) 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 7/18/2017 for PNBC (PRINCETON NATIONA), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0.00331   0 
1-.00021 .00004 (1*2π)/7878 weeks
2.0007 .00014 (2*2π)/7839 weeks
3-.00056 .0002 (3*2π)/7826 weeks
4.0004 -.00019 (4*2π)/7820 weeks
5-.0007 -.00004 (5*2π)/7816 weeks
6-.00038 -.00012 (6*2π)/7813 weeks
7.00025 -.00028 (7*2π)/7811 weeks
8-.00025 .00005 (8*2π)/7810 weeks
9.00045 .00016 (9*2π)/789 weeks
10.00053 .00034 (10*2π)/788 weeks
11.00007 -.00006 (11*2π)/787 weeks
12-.00018 -.00018 (12*2π)/787 weeks
13-.00019 .00006 (13*2π)/786 weeks
14-.00011 -.00038 (14*2π)/786 weeks
15-.00009 -.00012 (15*2π)/785 weeks
16.00005 .00022 (16*2π)/785 weeks
17.0001 .0001 (17*2π)/785 weeks
18.00001 .00017 (18*2π)/784 weeks
19-.00014 -.00004 (19*2π)/784 weeks
20-.00014 -.00008 (20*2π)/784 weeks
21-.00001 -.0001 (21*2π)/784 weeks
22.00023 -.00016 (22*2π)/784 weeks
23.00024 -.00006 (23*2π)/783 weeks
24.00009 -.00003 (24*2π)/783 weeks
25.00009 .00025 (25*2π)/783 weeks
26-.0002 .00004 (26*2π)/783 weeks
27-.00044 -.00005 (27*2π)/783 weeks
28-.00023 .00018 (28*2π)/783 weeks
29.00002 -.00029 (29*2π)/783 weeks
30.00016 -.00028 (30*2π)/783 weeks
31.00017 .00008 (31*2π)/783 weeks
32.00037 .00009 (32*2π)/782 weeks
33.00013 .00003 (33*2π)/782 weeks
34-.00045 .00019 (34*2π)/782 weeks
35-.00012 .00024 (35*2π)/782 weeks
36-.00003 -.0003 (36*2π)/782 weeks
37-.00028 -.00032 (37*2π)/782 weeks
38.00012 .00005 (38*2π)/782 weeks
39.0004   (39*2π)/782 weeks
40.00012 -.00005 (40*2π)/782 weeks
41-.00028 .00032 (41*2π)/782 weeks
42-.00003 .0003 (42*2π)/782 weeks
43-.00012 -.00024 (43*2π)/782 weeks
44-.00045 -.00019 (44*2π)/782 weeks
45.00013 -.00003 (45*2π)/782 weeks
46.00037 -.00009 (46*2π)/782 weeks
47.00017 -.00008 (47*2π)/782 weeks
48.00016 .00028 (48*2π)/782 weeks
49.00002 .00029 (49*2π)/782 weeks
50-.00023 -.00018 (50*2π)/782 weeks
51-.00044 .00005 (51*2π)/782 weeks
52-.0002 -.00004 (52*2π)/782 weeks
53.00009 -.00025 (53*2π)/781 weeks
54.00009 .00003 (54*2π)/781 weeks
55.00024 .00006 (55*2π)/781 weeks
56.00023 .00016 (56*2π)/781 weeks
57-.00001 .0001 (57*2π)/781 weeks
58-.00014 .00008 (58*2π)/781 weeks
59-.00014 .00004 (59*2π)/781 weeks
60.00001 -.00017 (60*2π)/781 weeks
61.0001 -.0001 (61*2π)/781 weeks
62.00005 -.00022 (62*2π)/781 weeks
63-.00009 .00012 (63*2π)/781 weeks
64-.00011 .00038 (64*2π)/781 weeks
65-.00019 -.00006 (65*2π)/781 weeks
66-.00018 .00018 (66*2π)/781 weeks
67.00007 .00006 (67*2π)/781 weeks
68.00053 -.00034 (68*2π)/781 weeks
69.00045 -.00016 (69*2π)/781 weeks
70-.00025 -.00005 (70*2π)/781 weeks
71.00025 .00028 (71*2π)/781 weeks
72-.00038 .00012 (72*2π)/781 weeks
73-.0007 .00004 (73*2π)/781 weeks
74.0004 .00019 (74*2π)/781 weeks
75-.00056 -.0002 (75*2π)/781 weeks
76.0007 -.00014 (76*2π)/781 weeks



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