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# Fourier Analysis of SPWH (Sportsman's Warehouse Holdings)

SPWH (Sportsman's Warehouse Holdings) appears to have interesting cyclic behaviour every 18 weeks (.3301*sine), 19 weeks (.2996*sine), and 18 weeks (.2541*cosine).

SPWH (Sportsman's Warehouse Holdings) has an average price of 8.2 (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 4/17/2014 to 4/16/2018 for SPWH (Sportsman's Warehouse Holdings), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
08.20476   0
1-2.86175 1.99446 (1*2π)/210210 weeks
2.8527 -.24856 (2*2π)/210105 weeks
3.86932 .11578 (3*2π)/21070 weeks
4-.13845 .23352 (4*2π)/21053 weeks
5.11693 .51355 (5*2π)/21042 weeks
6.34135 -.37062 (6*2π)/21035 weeks
7-.01836 .59526 (7*2π)/21030 weeks
8-.04375 .30685 (8*2π)/21026 weeks
9.2787 .64906 (9*2π)/21023 weeks
10.09871 .08138 (10*2π)/21021 weeks
11-.21356 .29961 (11*2π)/21019 weeks
12.25407 .3301 (12*2π)/21018 weeks
13-.05372 .10604 (13*2π)/21016 weeks
14.12705 .05528 (14*2π)/21015 weeks
15-.03264 .13147 (15*2π)/21014 weeks
16.02214 -.11977 (16*2π)/21013 weeks
17.00735 .11736 (17*2π)/21012 weeks
18.03537 .27064 (18*2π)/21012 weeks
19.08637 -.05567 (19*2π)/21011 weeks
20.03263 .21061 (20*2π)/21011 weeks
21.10632 .14432 (21*2π)/21010 weeks
22-.03351 .06789 (22*2π)/21010 weeks
23.21282 -.00642 (23*2π)/2109 weeks
24.04524 .08927 (24*2π)/2109 weeks
25.00036 .0228 (25*2π)/2108 weeks
26.13332 .13382 (26*2π)/2108 weeks
27.01588 -.05656 (27*2π)/2108 weeks
28-.02754 .10569 (28*2π)/2108 weeks
29.03327 .01882 (29*2π)/2107 weeks
30.00827 .05383 (30*2π)/2107 weeks
31.01693 .00073 (31*2π)/2107 weeks
32.00247 .00936 (32*2π)/2107 weeks
33-.0385 .05608 (33*2π)/2106 weeks
34.05352 .01103 (34*2π)/2106 weeks
35.0589 .05864 (35*2π)/2106 weeks
36.02556 .03684 (36*2π)/2106 weeks
37-.01708 .03572 (37*2π)/2106 weeks
38.02881 .06693 (38*2π)/2106 weeks
39.0148 .04522 (39*2π)/2105 weeks
40.00366 .01826 (40*2π)/2105 weeks
41.01395 .08263 (41*2π)/2105 weeks
42-.05248 .04461 (42*2π)/2105 weeks
43.02808 .06373 (43*2π)/2105 weeks
44-.08036 .05072 (44*2π)/2105 weeks
45.03351 .02756 (45*2π)/2105 weeks
46.0129 .08332 (46*2π)/2105 weeks
47-.02403 .05503 (47*2π)/2104 weeks
48-.02478 -.01957 (48*2π)/2104 weeks
49.07977 -.00713 (49*2π)/2104 weeks
50-.01229 .06055 (50*2π)/2104 weeks
51.02528 .00666 (51*2π)/2104 weeks
52.06733 .02453 (52*2π)/2104 weeks
53-.06408 .0784 (53*2π)/2104 weeks
54-.00574 -.02013 (54*2π)/2104 weeks
55.04821 .05216 (55*2π)/2104 weeks
56.01393 -.00797 (56*2π)/2104 weeks
57.03671 .02632 (57*2π)/2104 weeks
58.00193 .06874 (58*2π)/2104 weeks
59.071 -.01296 (59*2π)/2104 weeks
60.0599 .06739 (60*2π)/2104 weeks
61.02641 .00805 (61*2π)/2103 weeks
62.06027 .04786 (62*2π)/2103 weeks
63.03487 .04374 (63*2π)/2103 weeks
64-.01896 .01689 (64*2π)/2103 weeks
65.07615 -.02181 (65*2π)/2103 weeks
66-.02721 .03376 (66*2π)/2103 weeks
67.01693 -.04936 (67*2π)/2103 weeks
68.06077 .02632 (68*2π)/2103 weeks
69-.00817 .03192 (69*2π)/2103 weeks
70.00338 .0273 (70*2π)/2103 weeks
71.06164 .0147 (71*2π)/2103 weeks
72.01803 .03513 (72*2π)/2103 weeks
73.0298 .03931 (73*2π)/2103 weeks
74.01743 .00741 (74*2π)/2103 weeks
75.01085 .01546 (75*2π)/2103 weeks
76.04714 .01569 (76*2π)/2103 weeks
77.01891 -.02827 (77*2π)/2103 weeks
78.01819 .01619 (78*2π)/2103 weeks
79.05054 .01283 (79*2π)/2103 weeks
80.01892 .04496 (80*2π)/2103 weeks
81.01735 .01332 (81*2π)/2103 weeks
82.00765 .01704 (82*2π)/2103 weeks
83.04454 .00029 (83*2π)/2103 weeks
84.01939 .05298 (84*2π)/2103 weeks
85-.00598 -.01332 (85*2π)/2102 weeks
86.02114 .02249 (86*2π)/2102 weeks
87-.02157 .00408 (87*2π)/2102 weeks
88.05343 -.05456 (88*2π)/2102 weeks
89.01545 .05033 (89*2π)/2102 weeks
90.0284 -.01334 (90*2π)/2102 weeks
91.04578 .00433 (91*2π)/2102 weeks
92.01359 .02785 (92*2π)/2102 weeks
93.0246 -.00485 (93*2π)/2102 weeks
94.02295 -.01161 (94*2π)/2102 weeks
95-.03224 .03376 (95*2π)/2102 weeks
96.0145 -.01384 (96*2π)/2102 weeks
97.00367 .03461 (97*2π)/2102 weeks
98.01008 .00362 (98*2π)/2102 weeks
99.01672 -.03539 (99*2π)/2102 weeks
100.04465 .01194 (100*2π)/2102 weeks
101.0592 .00604 (101*2π)/2102 weeks
102-.0045 .02695 (102*2π)/2102 weeks
103.00284 -.01157 (103*2π)/2102 weeks
104.01399 .00144 (104*2π)/2102 weeks
105-.0381   (105*2π)/2102 weeks
106.01399 -.00144 (106*2π)/2102 weeks
107.00284 .01157 (107*2π)/2102 weeks
108-.0045 -.02695 (108*2π)/2102 weeks
109.0592 -.00604 (109*2π)/2102 weeks
110.04465 -.01194 (110*2π)/2102 weeks
111.01672 .03539 (111*2π)/2102 weeks
112.01008 -.00362 (112*2π)/2102 weeks
113.00367 -.03461 (113*2π)/2102 weeks
114.0145 .01384 (114*2π)/2102 weeks
115-.03224 -.03376 (115*2π)/2102 weeks
116.02295 .01161 (116*2π)/2102 weeks
117.0246 .00485 (117*2π)/2102 weeks
118.01359 -.02785 (118*2π)/2102 weeks
119.04578 -.00433 (119*2π)/2102 weeks
120.0284 .01334 (120*2π)/2102 weeks
121.01545 -.05033 (121*2π)/2102 weeks
122.05343 .05456 (122*2π)/2102 weeks
123-.02157 -.00408 (123*2π)/2102 weeks
124.02114 -.02249 (124*2π)/2102 weeks
125-.00598 .01332 (125*2π)/2102 weeks
126.01939 -.05298 (126*2π)/2102 weeks
127.04454 -.00029 (127*2π)/2102 weeks
128.00765 -.01704 (128*2π)/2102 weeks
129.01735 -.01332 (129*2π)/2102 weeks
130.01892 -.04496 (130*2π)/2102 weeks
131.05054 -.01283 (131*2π)/2102 weeks
132.01819 -.01619 (132*2π)/2102 weeks
133.01891 .02827 (133*2π)/2102 weeks
134.04714 -.01569 (134*2π)/2102 weeks
135.01085 -.01546 (135*2π)/2102 weeks
136.01743 -.00741 (136*2π)/2102 weeks
137.0298 -.03931 (137*2π)/2102 weeks
138.01803 -.03513 (138*2π)/2102 weeks
139.06164 -.0147 (139*2π)/2102 weeks
140.00338 -.0273 (140*2π)/2102 weeks
141-.00817 -.03192 (141*2π)/2101 weeks
142.06077 -.02632 (142*2π)/2101 weeks
143.01693 .04936 (143*2π)/2101 weeks
144-.02721 -.03376 (144*2π)/2101 weeks
145.07615 .02181 (145*2π)/2101 weeks
146-.01896 -.01689 (146*2π)/2101 weeks
147.03487 -.04374 (147*2π)/2101 weeks
148.06027 -.04786 (148*2π)/2101 weeks
149.02641 -.00805 (149*2π)/2101 weeks
150.0599 -.06739 (150*2π)/2101 weeks
151.071 .01296 (151*2π)/2101 weeks
152.00193 -.06874 (152*2π)/2101 weeks
153.03671 -.02632 (153*2π)/2101 weeks
154.01393 .00797 (154*2π)/2101 weeks
155.04821 -.05216 (155*2π)/2101 weeks
156-.00574 .02013 (156*2π)/2101 weeks
157-.06408 -.0784 (157*2π)/2101 weeks
158.06733 -.02453 (158*2π)/2101 weeks
159.02528 -.00666 (159*2π)/2101 weeks
160-.01229 -.06055 (160*2π)/2101 weeks
161.07977 .00713 (161*2π)/2101 weeks
162-.02478 .01957 (162*2π)/2101 weeks
163-.02403 -.05503 (163*2π)/2101 weeks
164.0129 -.08332 (164*2π)/2101 weeks
165.03351 -.02756 (165*2π)/2101 weeks
166-.08036 -.05072 (166*2π)/2101 weeks
167.02808 -.06373 (167*2π)/2101 weeks
168-.05248 -.04461 (168*2π)/2101 weeks
169.01395 -.08263 (169*2π)/2101 weeks
170.00366 -.01826 (170*2π)/2101 weeks
171.0148 -.04522 (171*2π)/2101 weeks
172.02881 -.06693 (172*2π)/2101 weeks
173-.01708 -.03572 (173*2π)/2101 weeks
174.02556 -.03684 (174*2π)/2101 weeks
175.0589 -.05864 (175*2π)/2101 weeks
176.05352 -.01103 (176*2π)/2101 weeks
177-.0385 -.05608 (177*2π)/2101 weeks
178.00247 -.00936 (178*2π)/2101 weeks
179.01693 -.00073 (179*2π)/2101 weeks
180.00827 -.05383 (180*2π)/2101 weeks
181.03327 -.01882 (181*2π)/2101 weeks
182-.02754 -.10569 (182*2π)/2101 weeks
183.01588 .05656 (183*2π)/2101 weeks
184.13332 -.13382 (184*2π)/2101 weeks
185.00036 -.0228 (185*2π)/2101 weeks
186.04524 -.08927 (186*2π)/2101 weeks
187.21282 .00642 (187*2π)/2101 weeks
188-.03351 -.06789 (188*2π)/2101 weeks
189.10632 -.14432 (189*2π)/2101 weeks
190.03263 -.21061 (190*2π)/2101 weeks
191.08637 .05567 (191*2π)/2101 weeks
192.03537 -.27064 (192*2π)/2101 weeks
193.00735 -.11736 (193*2π)/2101 weeks
194.02214 .11977 (194*2π)/2101 weeks
195-.03264 -.13147 (195*2π)/2101 weeks
196.12705 -.05528 (196*2π)/2101 weeks
197-.05372 -.10604 (197*2π)/2101 weeks
198.25407 -.3301 (198*2π)/2101 weeks
199-.21356 -.29961 (199*2π)/2101 weeks
200.09871 -.08138 (200*2π)/2101 weeks
201.2787 -.64906 (201*2π)/2101 weeks
202-.04375 -.30685 (202*2π)/2101 weeks
203-.01836 -.59526 (203*2π)/2101 weeks
204.34135 .37062 (204*2π)/2101 weeks
205.11693 -.51355 (205*2π)/2101 weeks
206-.13845 -.23352 (206*2π)/2101 weeks
207.86932 -.11578 (207*2π)/2101 weeks
208.8527 .24856 (208*2π)/2101 weeks