Back to list of Stocks    See Also: Seasonal Analysis of GPROGenetic Algorithms Stock Portfolio Generator, and Best Months to Buy/Sell Stocks

# Fourier Analysis of GPRO (GoPro)

GPRO (GoPro) appears to have interesting cyclic behaviour every 11 weeks (1.6435*sine), 10 weeks (1.4049*sine), and 15 weeks (1.1959*cosine).

GPRO (GoPro) has an average price of 25.39 (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 6/26/2014 to 4/16/2018 for GPRO (GoPro), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
025.3881   0
110.98712 22.33748 (1*2π)/200200 weeks
2-4.14584 12.08012 (2*2π)/200100 weeks
3-.35141 3.71922 (3*2π)/20067 weeks
4-.97426 8.71278 (4*2π)/20050 weeks
5-5.26463 5.00597 (5*2π)/20040 weeks
6-4.48862 -.3399 (6*2π)/20033 weeks
7-.00032 -.80186 (7*2π)/20029 weeks
8-.0702 -.08079 (8*2π)/20025 weeks
9-.41549 .55635 (9*2π)/20022 weeks
10.36445 -.67585 (10*2π)/20020 weeks
11.75125 .71402 (11*2π)/20018 weeks
12.28583 .29209 (12*2π)/20017 weeks
131.19588 -.29018 (13*2π)/20015 weeks
141.12886 .97648 (14*2π)/20014 weeks
15.65376 1.09367 (15*2π)/20013 weeks
16.23499 .62985 (16*2π)/20013 weeks
17.97325 .78529 (17*2π)/20012 weeks
18.53579 1.64345 (18*2π)/20011 weeks
19-.42443 1.0616 (19*2π)/20011 weeks
20.50153 .35619 (20*2π)/20010 weeks
21.50313 1.40486 (21*2π)/20010 weeks
22-.60397 1.18009 (22*2π)/2009 weeks
23-.2874 .13512 (23*2π)/2009 weeks
24-.07976 .65091 (24*2π)/2008 weeks
25-.02642 .47963 (25*2π)/2008 weeks
26-.5624 .2723 (26*2π)/2008 weeks
27.12057 -.48347 (27*2π)/2007 weeks
28.52117 .042 (28*2π)/2007 weeks
29.39324 .39753 (29*2π)/2007 weeks
30.34929 .41438 (30*2π)/2007 weeks
31.39319 .63132 (31*2π)/2006 weeks
32.09122 .82162 (32*2π)/2006 weeks
33-.38228 .42917 (33*2π)/2006 weeks
34-.25192 .07064 (34*2π)/2006 weeks
35-.2277 -.13717 (35*2π)/2006 weeks
36.28669 .10459 (36*2π)/2006 weeks
37.21188 .04522 (37*2π)/2005 weeks
38.31399 .2689 (38*2π)/2005 weeks
39.13751 .05321 (39*2π)/2005 weeks
40.13362 .12313 (40*2π)/2005 weeks
41.06835 .11551 (41*2π)/2005 weeks
42.1385 -.09035 (42*2π)/2005 weeks
43.55463 .00789 (43*2π)/2005 weeks
44.6341 .22192 (44*2π)/2005 weeks
45.41522 .50584 (45*2π)/2004 weeks
46.48633 .71712 (46*2π)/2004 weeks
47-.1774 .78001 (47*2π)/2004 weeks
48-.35967 .44208 (48*2π)/2004 weeks
49-.30692 -.04748 (49*2π)/2004 weeks
50-.1551 -.1883 (50*2π)/2004 weeks
51.1184 -.21066 (51*2π)/2004 weeks
52.3883 -.1868 (52*2π)/2004 weeks
53.62609 .21612 (53*2π)/2004 weeks
54.32294 .35399 (54*2π)/2004 weeks
55.20645 .43096 (55*2π)/2004 weeks
56.02138 .37536 (56*2π)/2004 weeks
57-.14349 .02198 (57*2π)/2004 weeks
58.22553 -.02557 (58*2π)/2003 weeks
59.31458 .14401 (59*2π)/2003 weeks
60.23912 .26564 (60*2π)/2003 weeks
61.12921 .20282 (61*2π)/2003 weeks
62.29055 .23239 (62*2π)/2003 weeks
63.08635 .39545 (63*2π)/2003 weeks
64-.07458 .17119 (64*2π)/2003 weeks
65.09725 .06043 (65*2π)/2003 weeks
66-.04008 .23692 (66*2π)/2003 weeks
67-.07367 -.07674 (67*2π)/2003 weeks
68.22576 .0375 (68*2π)/2003 weeks
69.1674 .08885 (69*2π)/2003 weeks
70.0465 .00064 (70*2π)/2003 weeks
71.14976 -.01257 (71*2π)/2003 weeks
72.32162 .03128 (72*2π)/2003 weeks
73.19203 .34526 (73*2π)/2003 weeks
74.01197 .1209 (74*2π)/2003 weeks
75.17142 -.03317 (75*2π)/2003 weeks
76.1045 .13037 (76*2π)/2003 weeks
77.07749 -.05128 (77*2π)/2003 weeks
78.25568 .0497 (78*2π)/2003 weeks
79.24791 .32378 (79*2π)/2003 weeks
80-.08697 .11382 (80*2π)/2003 weeks
81.12244 -.0099 (81*2π)/2002 weeks
82.19076 .22751 (82*2π)/2002 weeks
83-.15371 .22978 (83*2π)/2002 weeks
84-.00507 -.08773 (84*2π)/2002 weeks
85.08222 -.00856 (85*2π)/2002 weeks
86.17149 .06249 (86*2π)/2002 weeks
87.07409 -.03365 (87*2π)/2002 weeks
88.05565 -.01099 (88*2π)/2002 weeks
89.12309 -.11524 (89*2π)/2002 weeks
90.16886 -.08934 (90*2π)/2002 weeks
91.29932 -.05972 (91*2π)/2002 weeks
92.34723 .03781 (92*2π)/2002 weeks
93.37924 .25515 (93*2π)/2002 weeks
94.16354 .34348 (94*2π)/2002 weeks
95-.02058 .29201 (95*2π)/2002 weeks
96-.20038 .23243 (96*2π)/2002 weeks
97-.17331 -.11857 (97*2π)/2002 weeks
98.0754 -.12517 (98*2π)/2002 weeks
99.18544 -.00581 (99*2π)/2002 weeks
100.1152   (100*2π)/2002 weeks
101.18544 .00581 (101*2π)/2002 weeks
102.0754 .12517 (102*2π)/2002 weeks
103-.17331 .11857 (103*2π)/2002 weeks
104-.20038 -.23243 (104*2π)/2002 weeks
105-.02058 -.29201 (105*2π)/2002 weeks
106.16354 -.34348 (106*2π)/2002 weeks
107.37924 -.25515 (107*2π)/2002 weeks
108.34723 -.03781 (108*2π)/2002 weeks
109.29932 .05972 (109*2π)/2002 weeks
110.16886 .08934 (110*2π)/2002 weeks
111.12309 .11524 (111*2π)/2002 weeks
112.05565 .01099 (112*2π)/2002 weeks
113.07409 .03365 (113*2π)/2002 weeks
114.17149 -.06249 (114*2π)/2002 weeks
115.08222 .00856 (115*2π)/2002 weeks
116-.00507 .08773 (116*2π)/2002 weeks
117-.15371 -.22978 (117*2π)/2002 weeks
118.19076 -.22751 (118*2π)/2002 weeks
119.12244 .0099 (119*2π)/2002 weeks
120-.08697 -.11382 (120*2π)/2002 weeks
121.24791 -.32378 (121*2π)/2002 weeks
122.25568 -.0497 (122*2π)/2002 weeks
123.07749 .05128 (123*2π)/2002 weeks
124.1045 -.13037 (124*2π)/2002 weeks
125.17142 .03317 (125*2π)/2002 weeks
126.01197 -.1209 (126*2π)/2002 weeks
127.19203 -.34526 (127*2π)/2002 weeks
128.32162 -.03128 (128*2π)/2002 weeks
129.14976 .01257 (129*2π)/2002 weeks
130.0465 -.00064 (130*2π)/2002 weeks
131.1674 -.08885 (131*2π)/2002 weeks
132.22576 -.0375 (132*2π)/2002 weeks
133-.07367 .07674 (133*2π)/2002 weeks
134-.04008 -.23692 (134*2π)/2001 weeks
135.09725 -.06043 (135*2π)/2001 weeks
136-.07458 -.17119 (136*2π)/2001 weeks
137.08635 -.39545 (137*2π)/2001 weeks
138.29055 -.23239 (138*2π)/2001 weeks
139.12921 -.20282 (139*2π)/2001 weeks
140.23912 -.26564 (140*2π)/2001 weeks
141.31458 -.14401 (141*2π)/2001 weeks
142.22553 .02557 (142*2π)/2001 weeks
143-.14349 -.02198 (143*2π)/2001 weeks
144.02138 -.37536 (144*2π)/2001 weeks
145.20645 -.43096 (145*2π)/2001 weeks
146.32294 -.35399 (146*2π)/2001 weeks
147.62609 -.21612 (147*2π)/2001 weeks
148.3883 .1868 (148*2π)/2001 weeks
149.1184 .21066 (149*2π)/2001 weeks
150-.1551 .1883 (150*2π)/2001 weeks
151-.30692 .04748 (151*2π)/2001 weeks
152-.35967 -.44208 (152*2π)/2001 weeks
153-.1774 -.78001 (153*2π)/2001 weeks
154.48633 -.71712 (154*2π)/2001 weeks
155.41522 -.50584 (155*2π)/2001 weeks
156.6341 -.22192 (156*2π)/2001 weeks
157.55463 -.00789 (157*2π)/2001 weeks
158.1385 .09035 (158*2π)/2001 weeks
159.06835 -.11551 (159*2π)/2001 weeks
160.13362 -.12313 (160*2π)/2001 weeks
161.13751 -.05321 (161*2π)/2001 weeks
162.31399 -.2689 (162*2π)/2001 weeks
163.21188 -.04522 (163*2π)/2001 weeks
164.28669 -.10459 (164*2π)/2001 weeks
165-.2277 .13717 (165*2π)/2001 weeks
166-.25192 -.07064 (166*2π)/2001 weeks
167-.38228 -.42917 (167*2π)/2001 weeks
168.09122 -.82162 (168*2π)/2001 weeks
169.39319 -.63132 (169*2π)/2001 weeks
170.34929 -.41438 (170*2π)/2001 weeks
171.39324 -.39753 (171*2π)/2001 weeks
172.52117 -.042 (172*2π)/2001 weeks
173.12057 .48347 (173*2π)/2001 weeks
174-.5624 -.2723 (174*2π)/2001 weeks
175-.02642 -.47963 (175*2π)/2001 weeks
176-.07976 -.65091 (176*2π)/2001 weeks
177-.2874 -.13512 (177*2π)/2001 weeks
178-.60397 -1.18009 (178*2π)/2001 weeks
179.50313 -1.40486 (179*2π)/2001 weeks
180.50153 -.35619 (180*2π)/2001 weeks
181-.42443 -1.0616 (181*2π)/2001 weeks
182.53579 -1.64345 (182*2π)/2001 weeks
183.97325 -.78529 (183*2π)/2001 weeks
184.23499 -.62985 (184*2π)/2001 weeks
185.65376 -1.09367 (185*2π)/2001 weeks
1861.12886 -.97648 (186*2π)/2001 weeks
1871.19588 .29018 (187*2π)/2001 weeks
188.28583 -.29209 (188*2π)/2001 weeks
189.75125 -.71402 (189*2π)/2001 weeks
190.36445 .67585 (190*2π)/2001 weeks
191-.41549 -.55635 (191*2π)/2001 weeks
192-.0702 .08079 (192*2π)/2001 weeks
193-.00032 .80186 (193*2π)/2001 weeks
194-4.48862 .3399 (194*2π)/2001 weeks
195-5.26463 -5.00597 (195*2π)/2001 weeks
196-.97426 -8.71278 (196*2π)/2001 weeks
197-.35141 -3.71922 (197*2π)/2001 weeks
198-4.14584 -12.08012 (198*2π)/2001 weeks