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# Fourier Analysis of VRA (Vera Bradley)

VRA (Vera Bradley) appears to have interesting cyclic behaviour every 23 weeks (1.4019*sine), 22 weeks (1.0854*sine), and 25 weeks (1.0314*sine).

VRA (Vera Bradley) has an average price of 21.36 (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 10/21/2010 to 4/16/2018 for VRA (Vera Bradley), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
021.35592   0
11.71733 9.35177 (1*2π)/392392 weeks
21.63318 5.42754 (2*2π)/392196 weeks
3-1.63468 5.56378 (3*2π)/392131 weeks
4.64121 2.58331 (4*2π)/39298 weeks
5-1.14259 .91648 (5*2π)/39278 weeks
6-.38875 .74365 (6*2π)/39265 weeks
7.6978 1.59145 (7*2π)/39256 weeks
8-1.40468 1.09205 (8*2π)/39249 weeks
9-.73692 .83664 (9*2π)/39244 weeks
10-.63735 -.32122 (10*2π)/39239 weeks
11.71154 -.18998 (11*2π)/39236 weeks
12.0209 .02123 (12*2π)/39233 weeks
13.08426 .44406 (13*2π)/39230 weeks
14.19505 .36188 (14*2π)/39228 weeks
15.80063 .5277 (15*2π)/39226 weeks
16-.10456 1.03142 (16*2π)/39225 weeks
17.09908 1.40192 (17*2π)/39223 weeks
18-.70684 1.08541 (18*2π)/39222 weeks
19-.41746 .31451 (19*2π)/39221 weeks
20-.63376 .23328 (20*2π)/39220 weeks
21-.11158 -.29886 (21*2π)/39219 weeks
22.5097 .07072 (22*2π)/39218 weeks
23.21728 .38415 (23*2π)/39217 weeks
24-.335 .24112 (24*2π)/39216 weeks
25-.21301 .15047 (25*2π)/39216 weeks
26-.06761 -.15183 (26*2π)/39215 weeks
27-.10832 -.29896 (27*2π)/39215 weeks
28-.00448 -.00977 (28*2π)/39214 weeks
29.55276 -.29485 (29*2π)/39214 weeks
30.16428 .3316 (30*2π)/39213 weeks
31-.08045 .41651 (31*2π)/39213 weeks
32.06707 .2498 (32*2π)/39212 weeks
33.05741 .1456 (33*2π)/39212 weeks
34-.50885 .294 (34*2π)/39212 weeks
35-.16045 .32197 (35*2π)/39211 weeks
36-.18513 -.03841 (36*2π)/39211 weeks
37-.11018 .02871 (37*2π)/39211 weeks
38.16918 -.08823 (38*2π)/39210 weeks
39.01575 .01447 (39*2π)/39210 weeks
40.1467 -.16385 (40*2π)/39210 weeks
41.30707 .20648 (41*2π)/39210 weeks
42.39857 .31999 (42*2π)/3929 weeks
43.01303 .18341 (43*2π)/3929 weeks
44.0841 .00876 (44*2π)/3929 weeks
45-.0402 .29344 (45*2π)/3929 weeks
46.06834 .04648 (46*2π)/3929 weeks
47-.18781 .21546 (47*2π)/3928 weeks
48-.20421 -.36746 (48*2π)/3928 weeks
49.21398 -.27874 (49*2π)/3928 weeks
50.21329 -.02627 (50*2π)/3928 weeks
51.28153 .08999 (51*2π)/3928 weeks
52.32099 .12109 (52*2π)/3928 weeks
53.10852 .25947 (53*2π)/3927 weeks
54.25185 .24518 (54*2π)/3927 weeks
55-.11623 .14675 (55*2π)/3927 weeks
56-.16069 .28436 (56*2π)/3927 weeks
57.02776 .02036 (57*2π)/3927 weeks
58.07598 -.02158 (58*2π)/3927 weeks
59.10384 .11809 (59*2π)/3927 weeks
60.05863 .1923 (60*2π)/3927 weeks
61.08667 .10648 (61*2π)/3926 weeks
62-.07265 .18016 (62*2π)/3926 weeks
63-.06639 .14482 (63*2π)/3926 weeks
64.04526 -.00078 (64*2π)/3926 weeks
65.01807 -.13813 (65*2π)/3926 weeks
66.16155 .1231 (66*2π)/3926 weeks
67.20379 .04491 (67*2π)/3926 weeks
68.07051 .26409 (68*2π)/3926 weeks
69.05005 .12077 (69*2π)/3926 weeks
70-.10163 .05025 (70*2π)/3926 weeks
71.07603 .069 (71*2π)/3926 weeks
72-.03706 .10376 (72*2π)/3925 weeks
73-.01092 .11098 (73*2π)/3925 weeks
74.04929 .08021 (74*2π)/3925 weeks
75.08306 .07368 (75*2π)/3925 weeks
76.02857 .20392 (76*2π)/3925 weeks
77-.00591 .14685 (77*2π)/3925 weeks
78-.01773 .03615 (78*2π)/3925 weeks
79.12639 .15869 (79*2π)/3925 weeks
80-.06955 .14959 (80*2π)/3925 weeks
81-.04021 .04831 (81*2π)/3925 weeks
82.05385 .16679 (82*2π)/3925 weeks
83.04059 .18385 (83*2π)/3925 weeks
84-.17928 .0776 (84*2π)/3925 weeks
85-.21731 -.09625 (85*2π)/3925 weeks
86.00677 -.21255 (86*2π)/3925 weeks
87.04846 -.03684 (87*2π)/3925 weeks
88-.00514 .05118 (88*2π)/3924 weeks
89-.03757 -.12951 (89*2π)/3924 weeks
90.14307 .00355 (90*2π)/3924 weeks
91.0336 -.01054 (91*2π)/3924 weeks
92.10242 -.04107 (92*2π)/3924 weeks
93.11715 .03747 (93*2π)/3924 weeks
94.07009 .13147 (94*2π)/3924 weeks
95.00392 .05442 (95*2π)/3924 weeks
96-.06974 .05383 (96*2π)/3924 weeks
97-.05709 .05515 (97*2π)/3924 weeks
98.03485 -.1225 (98*2π)/3924 weeks
99.1304 .04885 (99*2π)/3924 weeks
100.12619 .08852 (100*2π)/3924 weeks
101.0583 .0407 (101*2π)/3924 weeks
102.09517 .00994 (102*2π)/3924 weeks
103.09121 -.06508 (103*2π)/3924 weeks
104.16332 .07928 (104*2π)/3924 weeks
105.10589 .16356 (105*2π)/3924 weeks
106.06065 .00789 (106*2π)/3924 weeks
107-.00786 .15348 (107*2π)/3924 weeks
108.03945 .1156 (108*2π)/3924 weeks
109-.05204 .07428 (109*2π)/3924 weeks
110-.03509 .0427 (110*2π)/3924 weeks
111-.04392 -.04339 (111*2π)/3924 weeks
112.02299 -.00799 (112*2π)/3924 weeks
113.0822 -.03536 (113*2π)/3923 weeks
114.19461 .06707 (114*2π)/3923 weeks
115.05858 .14513 (115*2π)/3923 weeks
116-.02666 .19865 (116*2π)/3923 weeks
117-.07594 .06582 (117*2π)/3923 weeks
118-.05081 -.03372 (118*2π)/3923 weeks
119.03228 .00878 (119*2π)/3923 weeks
120-.03184 .00834 (120*2π)/3923 weeks
121.07037 -.08655 (121*2π)/3923 weeks
122.03302 -.04075 (122*2π)/3923 weeks
123.0889 .01306 (123*2π)/3923 weeks
124.02665 .0403 (124*2π)/3923 weeks
125-.05576 -.04868 (125*2π)/3923 weeks
126-.03134 -.02531 (126*2π)/3923 weeks
127.10714 -.1204 (127*2π)/3923 weeks
128.10427 -.02198 (128*2π)/3923 weeks
129.04279 .0134 (129*2π)/3923 weeks
130.04211 .06203 (130*2π)/3923 weeks
131.06759 -.01124 (131*2π)/3923 weeks
132.03114 .0236 (132*2π)/3923 weeks
133.13183 .13949 (133*2π)/3923 weeks
134.01936 .04052 (134*2π)/3923 weeks
135-.07252 -.03023 (135*2π)/3923 weeks
136.09935 .02691 (136*2π)/3923 weeks
137.03889 -.0214 (137*2π)/3923 weeks
138.0392 -.01753 (138*2π)/3923 weeks
139.07895 -.06771 (139*2π)/3923 weeks
140.09691 .01424 (140*2π)/3923 weeks
141.07164 .0243 (141*2π)/3923 weeks
142.13537 .02673 (142*2π)/3923 weeks
143.04448 .11775 (143*2π)/3923 weeks
144-.08126 .02748 (144*2π)/3923 weeks
145.01829 .01339 (145*2π)/3923 weeks
146.08183 -.07463 (146*2π)/3923 weeks
147.06 .0135 (147*2π)/3923 weeks
148.12967 .01258 (148*2π)/3923 weeks
149.05531 -.00002 (149*2π)/3923 weeks
150.09809 .07974 (150*2π)/3923 weeks
151-.02597 .05757 (151*2π)/3923 weeks
152.09214 .01662 (152*2π)/3923 weeks
153.00913 .09438 (153*2π)/3923 weeks
154.00374 .08268 (154*2π)/3923 weeks
155.03128 .0784 (155*2π)/3923 weeks
156.06452 -.03574 (156*2π)/3923 weeks
157-.03342 .02822 (157*2π)/3922 weeks
158.05075 -.00581 (158*2π)/3922 weeks
159.04369 .04824 (159*2π)/3922 weeks
160.02406 -.04399 (160*2π)/3922 weeks
161.03921 .03381 (161*2π)/3922 weeks
162.0228 -.04879 (162*2π)/3922 weeks
163-.02513 -.02468 (163*2π)/3922 weeks
164.04221 -.04195 (164*2π)/3922 weeks
165.10135 -.05445 (165*2π)/3922 weeks
166.05115 .03094 (166*2π)/3922 weeks
167.06733 .09097 (167*2π)/3922 weeks
168.00133 .04315 (168*2π)/3922 weeks
169-.024 .00037 (169*2π)/3922 weeks
170.07309 .0295 (170*2π)/3922 weeks
171.00621 -.02155 (171*2π)/3922 weeks
172-.04745 .02061 (172*2π)/3922 weeks
173-.02666 -.05485 (173*2π)/3922 weeks
174.0885 -.10188 (174*2π)/3922 weeks
175.11375 -.04488 (175*2π)/3922 weeks
176.10069 .03093 (176*2π)/3922 weeks
177.06222 .05726 (177*2π)/3922 weeks
178.04014 -.00437 (178*2π)/3922 weeks
179.07141 .04262 (179*2π)/3922 weeks
180.00656 .02987 (180*2π)/3922 weeks
181.07581 .05172 (181*2π)/3922 weeks
182.02863 -.01863 (182*2π)/3922 weeks
183-.02706 -.03297 (183*2π)/3922 weeks
184.04172 -.08937 (184*2π)/3922 weeks
185.07312 .00753 (185*2π)/3922 weeks
186.04557 -.02262 (186*2π)/3922 weeks
187.07055 -.05192 (187*2π)/3922 weeks
188.11689 .03314 (188*2π)/3922 weeks
189.08671 .02543 (189*2π)/3922 weeks
190.07985 .10375 (190*2π)/3922 weeks
191-.01213 .02286 (191*2π)/3922 weeks
192.04516 .0196 (192*2π)/3922 weeks
193.04479 -.01672 (193*2π)/3922 weeks
194.06117 .03558 (194*2π)/3922 weeks
195-.06627 .04725 (195*2π)/3922 weeks
196.10602   (196*2π)/3922 weeks
197-.06627 -.04725 (197*2π)/3922 weeks
198.06117 -.03558 (198*2π)/3922 weeks
199.04479 .01672 (199*2π)/3922 weeks
200.04516 -.0196 (200*2π)/3922 weeks
201-.01213 -.02286 (201*2π)/3922 weeks
202.07985 -.10375 (202*2π)/3922 weeks
203.08671 -.02543 (203*2π)/3922 weeks
204.11689 -.03314 (204*2π)/3922 weeks
205.07055 .05192 (205*2π)/3922 weeks
206.04557 .02262 (206*2π)/3922 weeks
207.07312 -.00753 (207*2π)/3922 weeks
208.04172 .08937 (208*2π)/3922 weeks
209-.02706 .03297 (209*2π)/3922 weeks
210.02863 .01863 (210*2π)/3922 weeks
211.07581 -.05172 (211*2π)/3922 weeks
212.00656 -.02987 (212*2π)/3922 weeks
213.07141 -.04262 (213*2π)/3922 weeks
214.04014 .00437 (214*2π)/3922 weeks
215.06222 -.05726 (215*2π)/3922 weeks
216.10069 -.03093 (216*2π)/3922 weeks
217.11375 .04488 (217*2π)/3922 weeks
218.0885 .10188 (218*2π)/3922 weeks
219-.02666 .05485 (219*2π)/3922 weeks
220-.04745 -.02061 (220*2π)/3922 weeks
221.00621 .02155 (221*2π)/3922 weeks
222.07309 -.0295 (222*2π)/3922 weeks
223-.024 -.00037 (223*2π)/3922 weeks
224.00133 -.04315 (224*2π)/3922 weeks
225.06733 -.09097 (225*2π)/3922 weeks
226.05115 -.03094 (226*2π)/3922 weeks
227.10135 .05445 (227*2π)/3922 weeks
228.04221 .04195 (228*2π)/3922 weeks
229-.02513 .02468 (229*2π)/3922 weeks
230.0228 .04879 (230*2π)/3922 weeks
231.03921 -.03381 (231*2π)/3922 weeks
232.02406 .04399 (232*2π)/3922 weeks
233.04369 -.04824 (233*2π)/3922 weeks
234.05075 .00581 (234*2π)/3922 weeks
235-.03342 -.02822 (235*2π)/3922 weeks
236.06452 .03574 (236*2π)/3922 weeks
237.03128 -.0784 (237*2π)/3922 weeks
238.00374 -.08268 (238*2π)/3922 weeks
239.00913 -.09438 (239*2π)/3922 weeks
240.09214 -.01662 (240*2π)/3922 weeks
241-.02597 -.05757 (241*2π)/3922 weeks
242.09809 -.07974 (242*2π)/3922 weeks
243.05531 .00002 (243*2π)/3922 weeks
244.12967 -.01258 (244*2π)/3922 weeks
245.06 -.0135 (245*2π)/3922 weeks
246.08183 .07463 (246*2π)/3922 weeks
247.01829 -.01339 (247*2π)/3922 weeks
248-.08126 -.02748 (248*2π)/3922 weeks
249.04448 -.11775 (249*2π)/3922 weeks
250.13537 -.02673 (250*2π)/3922 weeks
251.07164 -.0243 (251*2π)/3922 weeks
252.09691 -.01424 (252*2π)/3922 weeks
253.07895 .06771 (253*2π)/3922 weeks
254.0392 .01753 (254*2π)/3922 weeks
255.03889 .0214 (255*2π)/3922 weeks
256.09935 -.02691 (256*2π)/3922 weeks
257-.07252 .03023 (257*2π)/3922 weeks
258.01936 -.04052 (258*2π)/3922 weeks
259.13183 -.13949 (259*2π)/3922 weeks
260.03114 -.0236 (260*2π)/3922 weeks
261.06759 .01124 (261*2π)/3922 weeks
262.04211 -.06203 (262*2π)/3921 weeks
263.04279 -.0134 (263*2π)/3921 weeks
264.10427 .02198 (264*2π)/3921 weeks
265.10714 .1204 (265*2π)/3921 weeks
266-.03134 .02531 (266*2π)/3921 weeks
267-.05576 .04868 (267*2π)/3921 weeks
268.02665 -.0403 (268*2π)/3921 weeks
269.0889 -.01306 (269*2π)/3921 weeks
270.03302 .04075 (270*2π)/3921 weeks
271.07037 .08655 (271*2π)/3921 weeks
272-.03184 -.00834 (272*2π)/3921 weeks
273.03228 -.00878 (273*2π)/3921 weeks
274-.05081 .03372 (274*2π)/3921 weeks
275-.07594 -.06582 (275*2π)/3921 weeks
276-.02666 -.19865 (276*2π)/3921 weeks
277.05858 -.14513 (277*2π)/3921 weeks
278.19461 -.06707 (278*2π)/3921 weeks
279.0822 .03536 (279*2π)/3921 weeks
280.02299 .00799 (280*2π)/3921 weeks
281-.04392 .04339 (281*2π)/3921 weeks
282-.03509 -.0427 (282*2π)/3921 weeks
283-.05204 -.07428 (283*2π)/3921 weeks
284.03945 -.1156 (284*2π)/3921 weeks
285-.00786 -.15348 (285*2π)/3921 weeks
286.06065 -.00789 (286*2π)/3921 weeks
287.10589 -.16356 (287*2π)/3921 weeks
288.16332 -.07928 (288*2π)/3921 weeks
289.09121 .06508 (289*2π)/3921 weeks
290.09517 -.00994 (290*2π)/3921 weeks
291.0583 -.0407 (291*2π)/3921 weeks
292.12619 -.08852 (292*2π)/3921 weeks
293.1304 -.04885 (293*2π)/3921 weeks
294.03485 .1225 (294*2π)/3921 weeks
295-.05709 -.05515 (295*2π)/3921 weeks
296-.06974 -.05383 (296*2π)/3921 weeks
297.00392 -.05442 (297*2π)/3921 weeks
298.07009 -.13147 (298*2π)/3921 weeks
299.11715 -.03747 (299*2π)/3921 weeks
300.10242 .04107 (300*2π)/3921 weeks
301.0336 .01054 (301*2π)/3921 weeks
302.14307 -.00355 (302*2π)/3921 weeks
303-.03757 .12951 (303*2π)/3921 weeks
304-.00514 -.05118 (304*2π)/3921 weeks
305.04846 .03684 (305*2π)/3921 weeks
306.00677 .21255 (306*2π)/3921 weeks
307-.21731 .09625 (307*2π)/3921 weeks
308-.17928 -.0776 (308*2π)/3921 weeks
309.04059 -.18385 (309*2π)/3921 weeks
310.05385 -.16679 (310*2π)/3921 weeks
311-.04021 -.04831 (311*2π)/3921 weeks
312-.06955 -.14959 (312*2π)/3921 weeks
313.12639 -.15869 (313*2π)/3921 weeks
314-.01773 -.03615 (314*2π)/3921 weeks
315-.00591 -.14685 (315*2π)/3921 weeks
316.02857 -.20392 (316*2π)/3921 weeks
317.08306 -.07368 (317*2π)/3921 weeks
318.04929 -.08021 (318*2π)/3921 weeks
319-.01092 -.11098 (319*2π)/3921 weeks
320-.03706 -.10376 (320*2π)/3921 weeks
321.07603 -.069 (321*2π)/3921 weeks
322-.10163 -.05025 (322*2π)/3921 weeks
323.05005 -.12077 (323*2π)/3921 weeks
324.07051 -.26409 (324*2π)/3921 weeks
325.20379 -.04491 (325*2π)/3921 weeks
326.16155 -.1231 (326*2π)/3921 weeks
327.01807 .13813 (327*2π)/3921 weeks
328.04526 .00078 (328*2π)/3921 weeks
329-.06639 -.14482 (329*2π)/3921 weeks
330-.07265 -.18016 (330*2π)/3921 weeks
331.08667 -.10648 (331*2π)/3921 weeks
332.05863 -.1923 (332*2π)/3921 weeks
333.10384 -.11809 (333*2π)/3921 weeks
334.07598 .02158 (334*2π)/3921 weeks
335.02776 -.02036 (335*2π)/3921 weeks
336-.16069 -.28436 (336*2π)/3921 weeks
337-.11623 -.14675 (337*2π)/3921 weeks
338.25185 -.24518 (338*2π)/3921 weeks
339.10852 -.25947 (339*2π)/3921 weeks
340.32099 -.12109 (340*2π)/3921 weeks
341.28153 -.08999 (341*2π)/3921 weeks
342.21329 .02627 (342*2π)/3921 weeks
343.21398 .27874 (343*2π)/3921 weeks
344-.20421 .36746 (344*2π)/3921 weeks
345-.18781 -.21546 (345*2π)/3921 weeks
346.06834 -.04648 (346*2π)/3921 weeks
347-.0402 -.29344 (347*2π)/3921 weeks
348.0841 -.00876 (348*2π)/3921 weeks
349.01303 -.18341 (349*2π)/3921 weeks
350.39857 -.31999 (350*2π)/3921 weeks
351.30707 -.20648 (351*2π)/3921 weeks
352.1467 .16385 (352*2π)/3921 weeks
353.01575 -.01447 (353*2π)/3921 weeks
354.16918 .08823 (354*2π)/3921 weeks
355-.11018 -.02871 (355*2π)/3921 weeks
356-.18513 .03841 (356*2π)/3921 weeks
357-.16045 -.32197 (357*2π)/3921 weeks
358-.50885 -.294 (358*2π)/3921 weeks
359.05741 -.1456 (359*2π)/3921 weeks
360.06707 -.2498 (360*2π)/3921 weeks
361-.08045 -.41651 (361*2π)/3921 weeks
362.16428 -.3316 (362*2π)/3921 weeks
363.55276 .29485 (363*2π)/3921 weeks
364-.00448 .00977 (364*2π)/3921 weeks
365-.10832 .29896 (365*2π)/3921 weeks
366-.06761 .15183 (366*2π)/3921 weeks
367-.21301 -.15047 (367*2π)/3921 weeks
368-.335 -.24112 (368*2π)/3921 weeks
369.21728 -.38415 (369*2π)/3921 weeks
370.5097 -.07072 (370*2π)/3921 weeks
371-.11158 .29886 (371*2π)/3921 weeks
372-.63376 -.23328 (372*2π)/3921 weeks
373-.41746 -.31451 (373*2π)/3921 weeks
374-.70684 -1.08541 (374*2π)/3921 weeks
375.09908 -1.40192 (375*2π)/3921 weeks
376-.10456 -1.03142 (376*2π)/3921 weeks
377.80063 -.5277 (377*2π)/3921 weeks
378.19505 -.36188 (378*2π)/3921 weeks
379.08426 -.44406 (379*2π)/3921 weeks
380.0209 -.02123 (380*2π)/3921 weeks
381.71154 .18998 (381*2π)/3921 weeks
382-.63735 .32122 (382*2π)/3921 weeks
383-.73692 -.83664 (383*2π)/3921 weeks
384-1.40468 -1.09205 (384*2π)/3921 weeks
385.6978 -1.59145 (385*2π)/3921 weeks
386-.38875 -.74365 (386*2π)/3921 weeks
387-1.14259 -.91648 (387*2π)/3921 weeks
388.64121 -2.58331 (388*2π)/3921 weeks
389-1.63468 -5.56378 (389*2π)/3921 weeks
3901.63318 -5.42754 (390*2π)/3921 weeks