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# Fourier Analysis of JGW (JGWPT Holdings Inc)

JGW (JGWPT Holdings Inc) appears to have interesting cyclic behaviour every 14 weeks (.7751*sine), 8 weeks (.4016*sine), and 12 weeks (.3873*sine).

JGW (JGWPT Holdings Inc) has an average price of 8.95 (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 11/8/2013 to 6/13/2016 for JGW (JGWPT Holdings Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
08.94873   0
1-.72409 5.3253 (1*2π)/137137 weeks
2.9247 3.81958 (2*2π)/13769 weeks
3.24259 1.87819 (3*2π)/13746 weeks
4-.6018 1.77554 (4*2π)/13734 weeks
5-.58459 .46563 (5*2π)/13727 weeks
6.04471 .36995 (6*2π)/13723 weeks
7.19404 1.00058 (7*2π)/13720 weeks
8.2221 .67746 (8*2π)/13717 weeks
9-.16211 .46563 (9*2π)/13715 weeks
10-.25046 .77513 (10*2π)/13714 weeks
11-.06465 .38732 (11*2π)/13712 weeks
12-.0288 .0992 (12*2π)/13711 weeks
13.017 .22357 (13*2π)/13711 weeks
14.04761 .31083 (14*2π)/13710 weeks
15-.03724 .2215 (15*2π)/1379 weeks
16.37218 .1293 (16*2π)/1379 weeks
17.15212 .4016 (17*2π)/1378 weeks
18-.04958 .24689 (18*2π)/1378 weeks
19-.09709 .38048 (19*2π)/1377 weeks
20-.02786 .08067 (20*2π)/1377 weeks
21.07364 -.00545 (21*2π)/1377 weeks
22-.02469 .08954 (22*2π)/1376 weeks
23.23578 .0736 (23*2π)/1376 weeks
24.03733 .24847 (24*2π)/1376 weeks
25-.0007 .11645 (25*2π)/1375 weeks
26.09808 .02795 (26*2π)/1375 weeks
27.1383 .04491 (27*2π)/1375 weeks
28.1076 .19962 (28*2π)/1375 weeks
29.08955 .08384 (29*2π)/1375 weeks
30.01962 .12848 (30*2π)/1375 weeks
31-.01186 .08061 (31*2π)/1374 weeks
32.13944 -.00996 (32*2π)/1374 weeks
33.20271 .09144 (33*2π)/1374 weeks
34.17137 .03934 (34*2π)/1374 weeks
35.14259 .14527 (35*2π)/1374 weeks
36.01475 .15001 (36*2π)/1374 weeks
37.18334 .09913 (37*2π)/1374 weeks
38.05495 .12238 (38*2π)/1374 weeks
39-.00545 .04572 (39*2π)/1374 weeks
40.07764 .06562 (40*2π)/1373 weeks
41.14664 -.01839 (41*2π)/1373 weeks
42.1561 .02766 (42*2π)/1373 weeks
43.08415 .06874 (43*2π)/1373 weeks
44.16328 .11382 (44*2π)/1373 weeks
45.0812 .11371 (45*2π)/1373 weeks
46.00809 .02359 (46*2π)/1373 weeks
47.11553 -.00979 (47*2π)/1373 weeks
48.08153 .08164 (48*2π)/1373 weeks
49.13551 .0918 (49*2π)/1373 weeks
50.10833 .03647 (50*2π)/1373 weeks
51-.00268 .06136 (51*2π)/1373 weeks
52.10979 .02924 (52*2π)/1373 weeks
53.10763 .0362 (53*2π)/1373 weeks
54.09826 .01653 (54*2π)/1373 weeks
55.10353 .08018 (55*2π)/1372 weeks
56.05482 .02687 (56*2π)/1372 weeks
57.03386 .06142 (57*2π)/1372 weeks
58.13378 .0213 (58*2π)/1372 weeks
59.11665 .03197 (59*2π)/1372 weeks
60.03883 .00436 (60*2π)/1372 weeks
61.08871 .00096 (61*2π)/1372 weeks
62.11446 .03007 (62*2π)/1372 weeks
63.05945 -.02355 (63*2π)/1372 weeks
64.11777 .05125 (64*2π)/1372 weeks
65.04341 -.01759 (65*2π)/1372 weeks
66.03296 .04576 (66*2π)/1372 weeks
67.11726 -.00924 (67*2π)/1372 weeks
68.08967 -.08924 (68*2π)/1372 weeks
69.08967 .08924 (69*2π)/1372 weeks
70.11726 .00924 (70*2π)/1372 weeks
71.03296 -.04576 (71*2π)/1372 weeks
72.04341 .01759 (72*2π)/1372 weeks
73.11777 -.05125 (73*2π)/1372 weeks
74.05945 .02355 (74*2π)/1372 weeks
75.11446 -.03007 (75*2π)/1372 weeks
76.08871 -.00096 (76*2π)/1372 weeks
77.03883 -.00436 (77*2π)/1372 weeks
78.11665 -.03197 (78*2π)/1372 weeks
79.13378 -.0213 (79*2π)/1372 weeks
80.03386 -.06142 (80*2π)/1372 weeks
81.05482 -.02687 (81*2π)/1372 weeks
82.10353 -.08018 (82*2π)/1372 weeks
83.09826 -.01653 (83*2π)/1372 weeks
84.10763 -.0362 (84*2π)/1372 weeks
85.10979 -.02924 (85*2π)/1372 weeks
86-.00268 -.06136 (86*2π)/1372 weeks
87.10833 -.03647 (87*2π)/1372 weeks
88.13551 -.0918 (88*2π)/1372 weeks
89.08153 -.08164 (89*2π)/1372 weeks
90.11553 .00979 (90*2π)/1372 weeks
91.00809 -.02359 (91*2π)/1372 weeks
92.0812 -.11371 (92*2π)/1371 weeks
93.16328 -.11382 (93*2π)/1371 weeks
94.08415 -.06874 (94*2π)/1371 weeks
95.1561 -.02766 (95*2π)/1371 weeks
96.14664 .01839 (96*2π)/1371 weeks
97.07764 -.06562 (97*2π)/1371 weeks
98-.00545 -.04572 (98*2π)/1371 weeks
99.05495 -.12238 (99*2π)/1371 weeks
100.18334 -.09913 (100*2π)/1371 weeks
101.01475 -.15001 (101*2π)/1371 weeks
102.14259 -.14527 (102*2π)/1371 weeks
103.17137 -.03934 (103*2π)/1371 weeks
104.20271 -.09144 (104*2π)/1371 weeks
105.13944 .00996 (105*2π)/1371 weeks
106-.01186 -.08061 (106*2π)/1371 weeks
107.01962 -.12848 (107*2π)/1371 weeks
108.08955 -.08384 (108*2π)/1371 weeks
109.1076 -.19962 (109*2π)/1371 weeks
110.1383 -.04491 (110*2π)/1371 weeks
111.09808 -.02795 (111*2π)/1371 weeks
112-.0007 -.11645 (112*2π)/1371 weeks
113.03733 -.24847 (113*2π)/1371 weeks
114.23578 -.0736 (114*2π)/1371 weeks
115-.02469 -.08954 (115*2π)/1371 weeks
116.07364 .00545 (116*2π)/1371 weeks
117-.02786 -.08067 (117*2π)/1371 weeks
118-.09709 -.38048 (118*2π)/1371 weeks
119-.04958 -.24689 (119*2π)/1371 weeks
120.15212 -.4016 (120*2π)/1371 weeks
121.37218 -.1293 (121*2π)/1371 weeks
122-.03724 -.2215 (122*2π)/1371 weeks
123.04761 -.31083 (123*2π)/1371 weeks
124.017 -.22357 (124*2π)/1371 weeks
125-.0288 -.0992 (125*2π)/1371 weeks
126-.06465 -.38732 (126*2π)/1371 weeks
127-.25046 -.77513 (127*2π)/1371 weeks
128-.16211 -.46563 (128*2π)/1371 weeks
129.2221 -.67746 (129*2π)/1371 weeks
130.19404 -1.00058 (130*2π)/1371 weeks
131.04471 -.36995 (131*2π)/1371 weeks
132-.58459 -.46563 (132*2π)/1371 weeks
133-.6018 -1.77554 (133*2π)/1371 weeks
134.24259 -1.87819 (134*2π)/1371 weeks
135.9247 -3.81958 (135*2π)/1371 weeks