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Fourier Analysis of GMS (GMS Inc)


GMS (GMS Inc) appears to have interesting cyclic behaviour every 5 weeks (.4122*cosine), 6 weeks (.4059*sine), and 3 weeks (.3278*cosine).

GMS (GMS Inc) has an average price of 27.73 (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 5/26/2016 to 8/7/2017 for GMS (GMS Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
027.73063   0 
1-1.03214 -5.89009 (1*2π)/6464 weeks
2-.92308 .20381 (2*2π)/6432 weeks
3-.99769 .24958 (3*2π)/6421 weeks
4.39491 -1.33997 (4*2π)/6416 weeks
5-.15143 -.33635 (5*2π)/6413 weeks
6.19077 -.71861 (6*2π)/6411 weeks
7.12491 -.72767 (7*2π)/649 weeks
8.19042 -.28802 (8*2π)/648 weeks
9.04318 -.43141 (9*2π)/647 weeks
10-.32282 -.27087 (10*2π)/646 weeks
11-.17262 .40586 (11*2π)/646 weeks
12-.41224 -.12992 (12*2π)/645 weeks
13.00488 -.13191 (13*2π)/645 weeks
14-.13957 -.21951 (14*2π)/645 weeks
15-.06966 -.07633 (15*2π)/644 weeks
16.06469 .08094 (16*2π)/644 weeks
17-.21098 -.30303 (17*2π)/644 weeks
18-.19129 -.06819 (18*2π)/644 weeks
19-.19343 -.0052 (19*2π)/643 weeks
20-.32775 .01089 (20*2π)/643 weeks
21-.14884 -.00382 (21*2π)/643 weeks
22-.19317 -.05886 (22*2π)/643 weeks
23.09241 -.00453 (23*2π)/643 weeks
24-.03542 .09136 (24*2π)/643 weeks
25-.08046 -.09314 (25*2π)/643 weeks
26-.24086 -.0864 (26*2π)/642 weeks
27-.00572 -.14714 (27*2π)/642 weeks
28-.25367 .01209 (28*2π)/642 weeks
29-.08668 -.05255 (29*2π)/642 weeks
30-.01748 .00033 (30*2π)/642 weeks
31-.21575 -.05188 (31*2π)/642 weeks
32.17188   (32*2π)/642 weeks
33-.21575 .05188 (33*2π)/642 weeks
34-.01748 -.00033 (34*2π)/642 weeks
35-.08668 .05255 (35*2π)/642 weeks
36-.25367 -.01209 (36*2π)/642 weeks
37-.00572 .14714 (37*2π)/642 weeks
38-.24086 .0864 (38*2π)/642 weeks
39-.08046 .09314 (39*2π)/642 weeks
40-.03542 -.09136 (40*2π)/642 weeks
41.09241 .00453 (41*2π)/642 weeks
42-.19317 .05886 (42*2π)/642 weeks
43-.14884 .00382 (43*2π)/641 weeks
44-.32775 -.01089 (44*2π)/641 weeks
45-.19343 .0052 (45*2π)/641 weeks
46-.19129 .06819 (46*2π)/641 weeks
47-.21098 .30303 (47*2π)/641 weeks
48.06469 -.08094 (48*2π)/641 weeks
49-.06966 .07633 (49*2π)/641 weeks
50-.13957 .21951 (50*2π)/641 weeks
51.00488 .13191 (51*2π)/641 weeks
52-.41224 .12992 (52*2π)/641 weeks
53-.17262 -.40586 (53*2π)/641 weeks
54-.32282 .27087 (54*2π)/641 weeks
55.04318 .43141 (55*2π)/641 weeks
56.19042 .28802 (56*2π)/641 weeks
57.12491 .72767 (57*2π)/641 weeks
58.19077 .71861 (58*2π)/641 weeks
59-.15143 .33635 (59*2π)/641 weeks
60.39491 1.33997 (60*2π)/641 weeks
61-.99769 -.24958 (61*2π)/641 weeks
62-.92308 -.20381 (62*2π)/641 weeks



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