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# Fourier Analysis of PGN (PARAGON OFFSHORE PLC)

PGN (PARAGON OFFSHORE PLC) appears to have interesting cyclic behaviour every 7 weeks (.3419*sine), 7 weeks (.3351*sine), and 7 weeks (.3135*cosine).

PGN (PARAGON OFFSHORE PLC) has an average price of 2.8 (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 7/21/2014 to 12/14/2015 for PGN (PARAGON OFFSHORE PLC), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
02.7981   0
11.61914 2.18815 (1*2π)/7474 weeks
2.80791 1.72236 (2*2π)/7437 weeks
3.49667 1.03538 (3*2π)/7425 weeks
4.31706 .91001 (4*2π)/7419 weeks
5.46427 .69413 (5*2π)/7415 weeks
6.1073 .74484 (6*2π)/7412 weeks
7.11025 .44979 (7*2π)/7411 weeks
8.19869 .4767 (8*2π)/749 weeks
9.14448 .26859 (9*2π)/748 weeks
10.31348 .33508 (10*2π)/747 weeks
11.08539 .34194 (11*2π)/747 weeks
12.14206 .1644 (12*2π)/746 weeks
13.29123 .21477 (13*2π)/746 weeks
14.25138 .24145 (14*2π)/745 weeks
15.24245 .21038 (15*2π)/745 weeks
16.20879 .25171 (16*2π)/745 weeks
17.20532 .19059 (17*2π)/744 weeks
18.21852 .27864 (18*2π)/744 weeks
19.15609 .22693 (19*2π)/744 weeks
20.08638 .19665 (20*2π)/744 weeks
21.15491 .09856 (21*2π)/744 weeks
22.16077 .13191 (22*2π)/743 weeks
23.15863 .13117 (23*2π)/743 weeks
24.15664 .12035 (24*2π)/743 weeks
25.18528 .09019 (25*2π)/743 weeks
26.19757 .15526 (26*2π)/743 weeks
27.09093 .13952 (27*2π)/743 weeks
28.09494 .07291 (28*2π)/743 weeks
29.16634 .03447 (29*2π)/743 weeks
30.15202 .08627 (30*2π)/742 weeks
31.14571 .04912 (31*2π)/742 weeks
32.15161 .08503 (32*2π)/742 weeks
33.08829 .07077 (33*2π)/742 weeks
34.12236 .00903 (34*2π)/742 weeks
35.1699 .02106 (35*2π)/742 weeks
36.08444 .05351 (36*2π)/742 weeks
37.10945   (37*2π)/742 weeks
38.08444 -.05351 (38*2π)/742 weeks
39.1699 -.02106 (39*2π)/742 weeks
40.12236 -.00903 (40*2π)/742 weeks
41.08829 -.07077 (41*2π)/742 weeks
42.15161 -.08503 (42*2π)/742 weeks
43.14571 -.04912 (43*2π)/742 weeks
44.15202 -.08627 (44*2π)/742 weeks
45.16634 -.03447 (45*2π)/742 weeks
46.09494 -.07291 (46*2π)/742 weeks
47.09093 -.13952 (47*2π)/742 weeks
48.19757 -.15526 (48*2π)/742 weeks
49.18528 -.09019 (49*2π)/742 weeks
50.15664 -.12035 (50*2π)/741 weeks
51.15863 -.13117 (51*2π)/741 weeks
52.16077 -.13191 (52*2π)/741 weeks
53.15491 -.09856 (53*2π)/741 weeks
54.08638 -.19665 (54*2π)/741 weeks
55.15609 -.22693 (55*2π)/741 weeks
56.21852 -.27864 (56*2π)/741 weeks
57.20532 -.19059 (57*2π)/741 weeks
58.20879 -.25171 (58*2π)/741 weeks
59.24245 -.21038 (59*2π)/741 weeks
60.25138 -.24145 (60*2π)/741 weeks
61.29123 -.21477 (61*2π)/741 weeks
62.14206 -.1644 (62*2π)/741 weeks
63.08539 -.34194 (63*2π)/741 weeks
64.31348 -.33508 (64*2π)/741 weeks
65.14448 -.26859 (65*2π)/741 weeks
66.19869 -.4767 (66*2π)/741 weeks
67.11025 -.44979 (67*2π)/741 weeks
68.1073 -.74484 (68*2π)/741 weeks
69.46427 -.69413 (69*2π)/741 weeks
70.31706 -.91001 (70*2π)/741 weeks
71.49667 -1.03538 (71*2π)/741 weeks
72.80791 -1.72236 (72*2π)/741 weeks