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Fourier Analysis of NASH (NASHVILLE AREA ETF NASHVILLE AREA ETF)


NASH (NASHVILLE AREA ETF NASHVILLE AREA ETF) appears to have interesting cyclic behaviour every 19 weeks (.3168*sine), 15 weeks (.2811*sine), and 17 weeks (.2721*cosine).

NASH (NASHVILLE AREA ETF NASHVILLE AREA ETF) has an average price of 26.44 (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 8/1/2013 to 11/6/2017 for NASH (NASHVILLE AREA ETF NASHVILLE AREA ETF), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
026.43809   0 
1-1.28805 .07523 (1*2π)/224224 weeks
2-.03433 -2.50888 (2*2π)/224112 weeks
3-.2429 .18371 (3*2π)/22475 weeks
4-.60912 -.75704 (4*2π)/22456 weeks
5-.26913 .35175 (5*2π)/22445 weeks
6.15018 -.30764 (6*2π)/22437 weeks
7-.04993 -.45165 (7*2π)/22432 weeks
8-.15592 -.30459 (8*2π)/22428 weeks
9.12844 -.00666 (9*2π)/22425 weeks
10-.05344 -.06664 (10*2π)/22422 weeks
11.18335 -.26941 (11*2π)/22420 weeks
12-.15946 -.3168 (12*2π)/22419 weeks
13.27211 -.08507 (13*2π)/22417 weeks
14-.116 -.16454 (14*2π)/22416 weeks
15-.01648 -.28114 (15*2π)/22415 weeks
16-.12053 -.08829 (16*2π)/22414 weeks
17-.21808 -.05394 (17*2π)/22413 weeks
18-.06991 -.09166 (18*2π)/22412 weeks
19.05101 -.19997 (19*2π)/22412 weeks
20-.03472 -.0565 (20*2π)/22411 weeks
21-.10326 .10923 (21*2π)/22411 weeks
22-.04946 .16173 (22*2π)/22410 weeks
23.08822 -.0131 (23*2π)/22410 weeks
24.04845 -.02731 (24*2π)/2249 weeks
25.00408 -.03389 (25*2π)/2249 weeks
26-.06275 -.0265 (26*2π)/2249 weeks
27.0481 -.16033 (27*2π)/2248 weeks
28-.02387 -.06476 (28*2π)/2248 weeks
29-.0706 -.04171 (29*2π)/2248 weeks
30.05187 -.01779 (30*2π)/2247 weeks
31.05659 .04477 (31*2π)/2247 weeks
32-.04418 .01602 (32*2π)/2247 weeks
33-.05808 -.10329 (33*2π)/2247 weeks
34-.06063 -.0119 (34*2π)/2247 weeks
35-.03146 .01064 (35*2π)/2246 weeks
36.09121 -.06775 (36*2π)/2246 weeks
37-.07368 -.09799 (37*2π)/2246 weeks
38.01002 .01853 (38*2π)/2246 weeks
39-.0313 -.03131 (39*2π)/2246 weeks
40.02705 .01073 (40*2π)/2246 weeks
41.01666 .02569 (41*2π)/2245 weeks
42.00778 .00063 (42*2π)/2245 weeks
43-.00286 .06026 (43*2π)/2245 weeks
44-.04874 -.12307 (44*2π)/2245 weeks
45.03577 .03859 (45*2π)/2245 weeks
46-.00429 -.00203 (46*2π)/2245 weeks
47-.08645 .03741 (47*2π)/2245 weeks
48-.0048 -.10635 (48*2π)/2245 weeks
49-.10252 .0218 (49*2π)/2245 weeks
50-.01401 -.02704 (50*2π)/2244 weeks
51-.03566 -.06857 (51*2π)/2244 weeks
52.00944 -.02086 (52*2π)/2244 weeks
53.01752 .06367 (53*2π)/2244 weeks
54-.09577 -.02845 (54*2π)/2244 weeks
55.07005 .03552 (55*2π)/2244 weeks
56-.05232 .00273 (56*2π)/2244 weeks
57.09259 -.00108 (57*2π)/2244 weeks
58-.06919 -.05164 (58*2π)/2244 weeks
59.01663 .07375 (59*2π)/2244 weeks
60-.04595 -.04036 (60*2π)/2244 weeks
61.00171 .00806 (61*2π)/2244 weeks
62-.04967 -.02506 (62*2π)/2244 weeks
63.04505 .02873 (63*2π)/2244 weeks
64-.0432 -.03712 (64*2π)/2244 weeks
65.01484 .00131 (65*2π)/2243 weeks
66.00674 -.06126 (66*2π)/2243 weeks
67-.05488 .02119 (67*2π)/2243 weeks
68.02772 .00683 (68*2π)/2243 weeks
69.0182 -.02861 (69*2π)/2243 weeks
70-.02743 .00473 (70*2π)/2243 weeks
71.00431 -.01614 (71*2π)/2243 weeks
72-.00637 -.02917 (72*2π)/2243 weeks
73-.04257 .03052 (73*2π)/2243 weeks
74.02909 -.02252 (74*2π)/2243 weeks
75-.04738 -.02614 (75*2π)/2243 weeks
76.07177 -.00959 (76*2π)/2243 weeks
77-.00202 -.02586 (77*2π)/2243 weeks
78-.01804 .00278 (78*2π)/2243 weeks
79-.00132 -.04669 (79*2π)/2243 weeks
80-.00529 -.00516 (80*2π)/2243 weeks
81-.05471 .02364 (81*2π)/2243 weeks
82.03475 -.00077 (82*2π)/2243 weeks
83-.06922 -.00548 (83*2π)/2243 weeks
84.00147 -.00439 (84*2π)/2243 weeks
85-.04789 -.0193 (85*2π)/2243 weeks
86-.07281 .00325 (86*2π)/2243 weeks
87.04507 .00133 (87*2π)/2243 weeks
88-.00767 .003 (88*2π)/2243 weeks
89-.03793 .0307 (89*2π)/2243 weeks
90.02822 .02364 (90*2π)/2242 weeks
91-.02695 .01569 (91*2π)/2242 weeks
92-.02052 -.0441 (92*2π)/2242 weeks
93.01474 .06329 (93*2π)/2242 weeks
94-.06392 .02671 (94*2π)/2242 weeks
95.0309 .03153 (95*2π)/2242 weeks
96.00952 -.03273 (96*2π)/2242 weeks
97-.0069 -.00196 (97*2π)/2242 weeks
98-.04599 .00945 (98*2π)/2242 weeks
99-.01121 .02958 (99*2π)/2242 weeks
100-.04541 .00917 (100*2π)/2242 weeks
101-.02383 -.01451 (101*2π)/2242 weeks
102.04312 -.01242 (102*2π)/2242 weeks
103-.02251 .02552 (103*2π)/2242 weeks
104-.02762 .01268 (104*2π)/2242 weeks
105.00095 .02267 (105*2π)/2242 weeks
106-.00624 -.0088 (106*2π)/2242 weeks
107-.03161 .02845 (107*2π)/2242 weeks
108.04218 -.00293 (108*2π)/2242 weeks
109-.04587 -.0213 (109*2π)/2242 weeks
110.00304 -.01073 (110*2π)/2242 weeks
111-.03674 -.01069 (111*2π)/2242 weeks
112-.01811   (112*2π)/2242 weeks
113-.03674 .01069 (113*2π)/2242 weeks
114.00304 .01073 (114*2π)/2242 weeks
115-.04587 .0213 (115*2π)/2242 weeks
116.04218 .00293 (116*2π)/2242 weeks
117-.03161 -.02845 (117*2π)/2242 weeks
118-.00624 .0088 (118*2π)/2242 weeks
119.00095 -.02267 (119*2π)/2242 weeks
120-.02762 -.01268 (120*2π)/2242 weeks
121-.02251 -.02552 (121*2π)/2242 weeks
122.04312 .01242 (122*2π)/2242 weeks
123-.02383 .01451 (123*2π)/2242 weeks
124-.04541 -.00917 (124*2π)/2242 weeks
125-.01121 -.02958 (125*2π)/2242 weeks
126-.04599 -.00945 (126*2π)/2242 weeks
127-.0069 .00196 (127*2π)/2242 weeks
128.00952 .03273 (128*2π)/2242 weeks
129.0309 -.03153 (129*2π)/2242 weeks
130-.06392 -.02671 (130*2π)/2242 weeks
131.01474 -.06329 (131*2π)/2242 weeks
132-.02052 .0441 (132*2π)/2242 weeks
133-.02695 -.01569 (133*2π)/2242 weeks
134.02822 -.02364 (134*2π)/2242 weeks
135-.03793 -.0307 (135*2π)/2242 weeks
136-.00767 -.003 (136*2π)/2242 weeks
137.04507 -.00133 (137*2π)/2242 weeks
138-.07281 -.00325 (138*2π)/2242 weeks
139-.04789 .0193 (139*2π)/2242 weeks
140.00147 .00439 (140*2π)/2242 weeks
141-.06922 .00548 (141*2π)/2242 weeks
142.03475 .00077 (142*2π)/2242 weeks
143-.05471 -.02364 (143*2π)/2242 weeks
144-.00529 .00516 (144*2π)/2242 weeks
145-.00132 .04669 (145*2π)/2242 weeks
146-.01804 -.00278 (146*2π)/2242 weeks
147-.00202 .02586 (147*2π)/2242 weeks
148.07177 .00959 (148*2π)/2242 weeks
149-.04738 .02614 (149*2π)/2242 weeks
150.02909 .02252 (150*2π)/2241 weeks
151-.04257 -.03052 (151*2π)/2241 weeks
152-.00637 .02917 (152*2π)/2241 weeks
153.00431 .01614 (153*2π)/2241 weeks
154-.02743 -.00473 (154*2π)/2241 weeks
155.0182 .02861 (155*2π)/2241 weeks
156.02772 -.00683 (156*2π)/2241 weeks
157-.05488 -.02119 (157*2π)/2241 weeks
158.00674 .06126 (158*2π)/2241 weeks
159.01484 -.00131 (159*2π)/2241 weeks
160-.0432 .03712 (160*2π)/2241 weeks
161.04505 -.02873 (161*2π)/2241 weeks
162-.04967 .02506 (162*2π)/2241 weeks
163.00171 -.00806 (163*2π)/2241 weeks
164-.04595 .04036 (164*2π)/2241 weeks
165.01663 -.07375 (165*2π)/2241 weeks
166-.06919 .05164 (166*2π)/2241 weeks
167.09259 .00108 (167*2π)/2241 weeks
168-.05232 -.00273 (168*2π)/2241 weeks
169.07005 -.03552 (169*2π)/2241 weeks
170-.09577 .02845 (170*2π)/2241 weeks
171.01752 -.06367 (171*2π)/2241 weeks
172.00944 .02086 (172*2π)/2241 weeks
173-.03566 .06857 (173*2π)/2241 weeks
174-.01401 .02704 (174*2π)/2241 weeks
175-.10252 -.0218 (175*2π)/2241 weeks
176-.0048 .10635 (176*2π)/2241 weeks
177-.08645 -.03741 (177*2π)/2241 weeks
178-.00429 .00203 (178*2π)/2241 weeks
179.03577 -.03859 (179*2π)/2241 weeks
180-.04874 .12307 (180*2π)/2241 weeks
181-.00286 -.06026 (181*2π)/2241 weeks
182.00778 -.00063 (182*2π)/2241 weeks
183.01666 -.02569 (183*2π)/2241 weeks
184.02705 -.01073 (184*2π)/2241 weeks
185-.0313 .03131 (185*2π)/2241 weeks
186.01002 -.01853 (186*2π)/2241 weeks
187-.07368 .09799 (187*2π)/2241 weeks
188.09121 .06775 (188*2π)/2241 weeks
189-.03146 -.01064 (189*2π)/2241 weeks
190-.06063 .0119 (190*2π)/2241 weeks
191-.05808 .10329 (191*2π)/2241 weeks
192-.04418 -.01602 (192*2π)/2241 weeks
193.05659 -.04477 (193*2π)/2241 weeks
194.05187 .01779 (194*2π)/2241 weeks
195-.0706 .04171 (195*2π)/2241 weeks
196-.02387 .06476 (196*2π)/2241 weeks
197.0481 .16033 (197*2π)/2241 weeks
198-.06275 .0265 (198*2π)/2241 weeks
199.00408 .03389 (199*2π)/2241 weeks
200.04845 .02731 (200*2π)/2241 weeks
201.08822 .0131 (201*2π)/2241 weeks
202-.04946 -.16173 (202*2π)/2241 weeks
203-.10326 -.10923 (203*2π)/2241 weeks
204-.03472 .0565 (204*2π)/2241 weeks
205.05101 .19997 (205*2π)/2241 weeks
206-.06991 .09166 (206*2π)/2241 weeks
207-.21808 .05394 (207*2π)/2241 weeks
208-.12053 .08829 (208*2π)/2241 weeks
209-.01648 .28114 (209*2π)/2241 weeks
210-.116 .16454 (210*2π)/2241 weeks
211.27211 .08507 (211*2π)/2241 weeks
212-.15946 .3168 (212*2π)/2241 weeks
213.18335 .26941 (213*2π)/2241 weeks
214-.05344 .06664 (214*2π)/2241 weeks
215.12844 .00666 (215*2π)/2241 weeks
216-.15592 .30459 (216*2π)/2241 weeks
217-.04993 .45165 (217*2π)/2241 weeks
218.15018 .30764 (218*2π)/2241 weeks
219-.26913 -.35175 (219*2π)/2241 weeks
220-.60912 .75704 (220*2π)/2241 weeks
221-.2429 -.18371 (221*2π)/2241 weeks
222-.03433 2.50888 (222*2π)/2241 weeks



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