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Fourier Analysis of WAGE (WageWorks Inc)


WAGE (WageWorks Inc) appears to have interesting cyclic behaviour every 25 weeks (2.1913*sine), 19 weeks (1.8323*sine), and 23 weeks (1.7223*sine).

WAGE (WageWorks Inc) has an average price of 46.99 (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 5/11/2012 to 7/17/2017 for WAGE (WageWorks Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
046.99316   0 
1-4.23199 -10.05381 (1*2π)/272272 weeks
2-.20322 -16.1032 (2*2π)/272136 weeks
3-.40514 -10.41248 (3*2π)/27291 weeks
41.27235 -1.12924 (4*2π)/27268 weeks
5-4.09823 -4.613 (5*2π)/27254 weeks
61.17572 -3.87968 (6*2π)/27245 weeks
7-2.39227 -1.73601 (7*2π)/27239 weeks
8-.49106 -1.06251 (8*2π)/27234 weeks
9.1059 -2.4166 (9*2π)/27230 weeks
10-.62039 -1.57833 (10*2π)/27227 weeks
11-.31541 -2.19128 (11*2π)/27225 weeks
12.19975 -1.72227 (12*2π)/27223 weeks
13-1.07433 -.56025 (13*2π)/27221 weeks
14-.18008 -1.83227 (14*2π)/27219 weeks
15-.05254 -.17834 (15*2π)/27218 weeks
16-.24787 -1.47156 (16*2π)/27217 weeks
17.08425 -1.1293 (17*2π)/27216 weeks
18-.74758 -1.30874 (18*2π)/27215 weeks
19-.42811 -1.64933 (19*2π)/27214 weeks
20-.49057 -.42198 (20*2π)/27214 weeks
21-.94102 -.31517 (21*2π)/27213 weeks
22-.30413 -.7091 (22*2π)/27212 weeks
23-.10301 .23235 (23*2π)/27212 weeks
24-.25309 -1.22385 (24*2π)/27211 weeks
25.22465 -.71383 (25*2π)/27211 weeks
26-.39247 -.5862 (26*2π)/27210 weeks
27-.37768 -1.082 (27*2π)/27210 weeks
28-.49957 -.13786 (28*2π)/27210 weeks
29-.24354 -.35533 (29*2π)/2729 weeks
30.08076 -.71111 (30*2π)/2729 weeks
31-.09338 -.77096 (31*2π)/2729 weeks
32-.06133 -.51092 (32*2π)/2729 weeks
33-.53777 -.93569 (33*2π)/2728 weeks
34-.38301 -.2647 (34*2π)/2728 weeks
35-.37942 -.3976 (35*2π)/2728 weeks
36-.13552 -.05428 (36*2π)/2728 weeks
37.44498 -.60096 (37*2π)/2727 weeks
38-.24696 .25089 (38*2π)/2727 weeks
39-.17574 -.75157 (39*2π)/2727 weeks
40.09798 -.3439 (40*2π)/2727 weeks
41-.3964 -.64811 (41*2π)/2727 weeks
42.46951 -.20467 (42*2π)/2726 weeks
43-.55392 -.3797 (43*2π)/2726 weeks
44-.08086 -.23789 (44*2π)/2726 weeks
45.14148 -.745 (45*2π)/2726 weeks
46.06111 -.33312 (46*2π)/2726 weeks
47-.18222 -.33823 (47*2π)/2726 weeks
48-.63254 -.53591 (48*2π)/2726 weeks
49-.24881 -.4109 (49*2π)/2726 weeks
50-.32154 -.10453 (50*2π)/2725 weeks
51-.16103 -.19818 (51*2π)/2725 weeks
52-.33296 -.29773 (52*2π)/2725 weeks
53-.03577 -.54814 (53*2π)/2725 weeks
54-.27972 -.45614 (54*2π)/2725 weeks
55-.3872 -.10702 (55*2π)/2725 weeks
56-.11272 -.32425 (56*2π)/2725 weeks
57-.37033 -.27851 (57*2π)/2725 weeks
58-.16406 -.06949 (58*2π)/2725 weeks
59-.06694 -.12104 (59*2π)/2725 weeks
60-.23662 -.41466 (60*2π)/2725 weeks
61-.11061 -.32181 (61*2π)/2724 weeks
62-.14171 -.1164 (62*2π)/2724 weeks
63-.13126 -.16232 (63*2π)/2724 weeks
64-.3512 -.263 (64*2π)/2724 weeks
65-.20139 -.25562 (65*2π)/2724 weeks
66-.02114 -.0376 (66*2π)/2724 weeks
67-.22876 -.30352 (67*2π)/2724 weeks
68-.20279 -.05912 (68*2π)/2724 weeks
69-.29933 -.21827 (69*2π)/2724 weeks
70-.0946 -.09382 (70*2π)/2724 weeks
71-.42796 -.29126 (71*2π)/2724 weeks
72-.12014 .1031 (72*2π)/2724 weeks
73-.1367 -.32585 (73*2π)/2724 weeks
74-.12711 -.11343 (74*2π)/2724 weeks
75-.13824 -.30251 (75*2π)/2724 weeks
76-.36348 -.21316 (76*2π)/2724 weeks
77-.18046 -.29267 (77*2π)/2724 weeks
78-.23767 -.00879 (78*2π)/2723 weeks
79-.04014 -.15296 (79*2π)/2723 weeks
80-.30384 -.15965 (80*2π)/2723 weeks
81-.10661 -.08598 (81*2π)/2723 weeks
82-.18184 -.26285 (82*2π)/2723 weeks
83-.32974 -.09512 (83*2π)/2723 weeks
84-.22829 -.05656 (84*2π)/2723 weeks
85-.33614 -.0745 (85*2π)/2723 weeks
86-.21374 -.0128 (86*2π)/2723 weeks
87.09537 -.24561 (87*2π)/2723 weeks
88-.2473 -.00488 (88*2π)/2723 weeks
89-.17285 -.28506 (89*2π)/2723 weeks
90-.13026 -.18158 (90*2π)/2723 weeks
91-.29507 -.31932 (91*2π)/2723 weeks
92-.27671 -.11193 (92*2π)/2723 weeks
93-.23902 -.07573 (93*2π)/2723 weeks
94-.27528 -.09501 (94*2π)/2723 weeks
95-.29122 -.07107 (95*2π)/2723 weeks
96-.21489 .07754 (96*2π)/2723 weeks
97-.08414 -.11434 (97*2π)/2723 weeks
98-.25748 -.05181 (98*2π)/2723 weeks
99-.04482 .06178 (99*2π)/2723 weeks
100-.04845 -.14723 (100*2π)/2723 weeks
101-.24107 -.06617 (101*2π)/2723 weeks
102-.10391 -.09073 (102*2π)/2723 weeks
103-.18301 -.14541 (103*2π)/2723 weeks
104-.27586 -.0334 (104*2π)/2723 weeks
105-.20696 -.21225 (105*2π)/2723 weeks
106-.32505 -.05828 (106*2π)/2723 weeks
107-.32141 -.0499 (107*2π)/2723 weeks
108-.22872 -.02806 (108*2π)/2723 weeks
109-.29355 -.05741 (109*2π)/2722 weeks
110-.1604 .05974 (110*2π)/2722 weeks
111-.28275 -.17455 (111*2π)/2722 weeks
112-.13251 -.10571 (112*2π)/2722 weeks
113-.29997 -.02044 (113*2π)/2722 weeks
114-.27779 .05131 (114*2π)/2722 weeks
115.03946 -.0948 (115*2π)/2722 weeks
116-.17745 -.08336 (116*2π)/2722 weeks
117-.19252 -.15217 (117*2π)/2722 weeks
118-.1325 -.10956 (118*2π)/2722 weeks
119-.23972 -.11268 (119*2π)/2722 weeks
120-.31733 -.09852 (120*2π)/2722 weeks
121-.18152 .02939 (121*2π)/2722 weeks
122-.2328 .26925 (122*2π)/2722 weeks
123-.17344 -.13844 (123*2π)/2722 weeks
124-.08 .13083 (124*2π)/2722 weeks
125-.1868 .02086 (125*2π)/2722 weeks
126-.05787 -.16983 (126*2π)/2722 weeks
127-.14624 .0855 (127*2π)/2722 weeks
128-.35462 .0359 (128*2π)/2722 weeks
129-.06445 -.15646 (129*2π)/2722 weeks
130-.25183 .028 (130*2π)/2722 weeks
131-.16787 -.05873 (131*2π)/2722 weeks
132-.20385 .16699 (132*2π)/2722 weeks
133-.15927 .09539 (133*2π)/2722 weeks
134-.03098 -.15666 (134*2π)/2722 weeks
135-.23389 .06362 (135*2π)/2722 weeks
136-.25221   (136*2π)/2722 weeks
137-.23389 -.06362 (137*2π)/2722 weeks
138-.03098 .15666 (138*2π)/2722 weeks
139-.15927 -.09539 (139*2π)/2722 weeks
140-.20385 -.16699 (140*2π)/2722 weeks
141-.16787 .05873 (141*2π)/2722 weeks
142-.25183 -.028 (142*2π)/2722 weeks
143-.06445 .15646 (143*2π)/2722 weeks
144-.35462 -.0359 (144*2π)/2722 weeks
145-.14624 -.0855 (145*2π)/2722 weeks
146-.05787 .16983 (146*2π)/2722 weeks
147-.1868 -.02086 (147*2π)/2722 weeks
148-.08 -.13083 (148*2π)/2722 weeks
149-.17344 .13844 (149*2π)/2722 weeks
150-.2328 -.26925 (150*2π)/2722 weeks
151-.18152 -.02939 (151*2π)/2722 weeks
152-.31733 .09852 (152*2π)/2722 weeks
153-.23972 .11268 (153*2π)/2722 weeks
154-.1325 .10956 (154*2π)/2722 weeks
155-.19252 .15217 (155*2π)/2722 weeks
156-.17745 .08336 (156*2π)/2722 weeks
157.03946 .0948 (157*2π)/2722 weeks
158-.27779 -.05131 (158*2π)/2722 weeks
159-.29997 .02044 (159*2π)/2722 weeks
160-.13251 .10571 (160*2π)/2722 weeks
161-.28275 .17455 (161*2π)/2722 weeks
162-.1604 -.05974 (162*2π)/2722 weeks
163-.29355 .05741 (163*2π)/2722 weeks
164-.22872 .02806 (164*2π)/2722 weeks
165-.32141 .0499 (165*2π)/2722 weeks
166-.32505 .05828 (166*2π)/2722 weeks
167-.20696 .21225 (167*2π)/2722 weeks
168-.27586 .0334 (168*2π)/2722 weeks
169-.18301 .14541 (169*2π)/2722 weeks
170-.10391 .09073 (170*2π)/2722 weeks
171-.24107 .06617 (171*2π)/2722 weeks
172-.04845 .14723 (172*2π)/2722 weeks
173-.04482 -.06178 (173*2π)/2722 weeks
174-.25748 .05181 (174*2π)/2722 weeks
175-.08414 .11434 (175*2π)/2722 weeks
176-.21489 -.07754 (176*2π)/2722 weeks
177-.29122 .07107 (177*2π)/2722 weeks
178-.27528 .09501 (178*2π)/2722 weeks
179-.23902 .07573 (179*2π)/2722 weeks
180-.27671 .11193 (180*2π)/2722 weeks
181-.29507 .31932 (181*2π)/2722 weeks
182-.13026 .18158 (182*2π)/2721 weeks
183-.17285 .28506 (183*2π)/2721 weeks
184-.2473 .00488 (184*2π)/2721 weeks
185.09537 .24561 (185*2π)/2721 weeks
186-.21374 .0128 (186*2π)/2721 weeks
187-.33614 .0745 (187*2π)/2721 weeks
188-.22829 .05656 (188*2π)/2721 weeks
189-.32974 .09512 (189*2π)/2721 weeks
190-.18184 .26285 (190*2π)/2721 weeks
191-.10661 .08598 (191*2π)/2721 weeks
192-.30384 .15965 (192*2π)/2721 weeks
193-.04014 .15296 (193*2π)/2721 weeks
194-.23767 .00879 (194*2π)/2721 weeks
195-.18046 .29267 (195*2π)/2721 weeks
196-.36348 .21316 (196*2π)/2721 weeks
197-.13824 .30251 (197*2π)/2721 weeks
198-.12711 .11343 (198*2π)/2721 weeks
199-.1367 .32585 (199*2π)/2721 weeks
200-.12014 -.1031 (200*2π)/2721 weeks
201-.42796 .29126 (201*2π)/2721 weeks
202-.0946 .09382 (202*2π)/2721 weeks
203-.29933 .21827 (203*2π)/2721 weeks
204-.20279 .05912 (204*2π)/2721 weeks
205-.22876 .30352 (205*2π)/2721 weeks
206-.02114 .0376 (206*2π)/2721 weeks
207-.20139 .25562 (207*2π)/2721 weeks
208-.3512 .263 (208*2π)/2721 weeks
209-.13126 .16232 (209*2π)/2721 weeks
210-.14171 .1164 (210*2π)/2721 weeks
211-.11061 .32181 (211*2π)/2721 weeks
212-.23662 .41466 (212*2π)/2721 weeks
213-.06694 .12104 (213*2π)/2721 weeks
214-.16406 .06949 (214*2π)/2721 weeks
215-.37033 .27851 (215*2π)/2721 weeks
216-.11272 .32425 (216*2π)/2721 weeks
217-.3872 .10702 (217*2π)/2721 weeks
218-.27972 .45614 (218*2π)/2721 weeks
219-.03577 .54814 (219*2π)/2721 weeks
220-.33296 .29773 (220*2π)/2721 weeks
221-.16103 .19818 (221*2π)/2721 weeks
222-.32154 .10453 (222*2π)/2721 weeks
223-.24881 .4109 (223*2π)/2721 weeks
224-.63254 .53591 (224*2π)/2721 weeks
225-.18222 .33823 (225*2π)/2721 weeks
226.06111 .33312 (226*2π)/2721 weeks
227.14148 .745 (227*2π)/2721 weeks
228-.08086 .23789 (228*2π)/2721 weeks
229-.55392 .3797 (229*2π)/2721 weeks
230.46951 .20467 (230*2π)/2721 weeks
231-.3964 .64811 (231*2π)/2721 weeks
232.09798 .3439 (232*2π)/2721 weeks
233-.17574 .75157 (233*2π)/2721 weeks
234-.24696 -.25089 (234*2π)/2721 weeks
235.44498 .60096 (235*2π)/2721 weeks
236-.13552 .05428 (236*2π)/2721 weeks
237-.37942 .3976 (237*2π)/2721 weeks
238-.38301 .2647 (238*2π)/2721 weeks
239-.53777 .93569 (239*2π)/2721 weeks
240-.06133 .51092 (240*2π)/2721 weeks
241-.09338 .77096 (241*2π)/2721 weeks
242.08076 .71111 (242*2π)/2721 weeks
243-.24354 .35533 (243*2π)/2721 weeks
244-.49957 .13786 (244*2π)/2721 weeks
245-.37768 1.082 (245*2π)/2721 weeks
246-.39247 .5862 (246*2π)/2721 weeks
247.22465 .71383 (247*2π)/2721 weeks
248-.25309 1.22385 (248*2π)/2721 weeks
249-.10301 -.23235 (249*2π)/2721 weeks
250-.30413 .7091 (250*2π)/2721 weeks
251-.94102 .31517 (251*2π)/2721 weeks
252-.49057 .42198 (252*2π)/2721 weeks
253-.42811 1.64933 (253*2π)/2721 weeks
254-.74758 1.30874 (254*2π)/2721 weeks
255.08425 1.1293 (255*2π)/2721 weeks
256-.24787 1.47156 (256*2π)/2721 weeks
257-.05254 .17834 (257*2π)/2721 weeks
258-.18008 1.83227 (258*2π)/2721 weeks
259-1.07433 .56025 (259*2π)/2721 weeks
260.19975 1.72227 (260*2π)/2721 weeks
261-.31541 2.19128 (261*2π)/2721 weeks
262-.62039 1.57833 (262*2π)/2721 weeks
263.1059 2.4166 (263*2π)/2721 weeks
264-.49106 1.06251 (264*2π)/2721 weeks
265-2.39227 1.73601 (265*2π)/2721 weeks
2661.17572 3.87968 (266*2π)/2721 weeks
267-4.09823 4.613 (267*2π)/2721 weeks
2681.27235 1.12924 (268*2π)/2721 weeks
269-.40514 10.41248 (269*2π)/2721 weeks
270-.20322 16.1032 (270*2π)/2721 weeks



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