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Fourier Analysis of ZEN (Zendesk Inc)


ZEN (Zendesk Inc) appears to have interesting cyclic behaviour every 17 weeks (.7547*sine), 15 weeks (.6313*sine), and 9 weeks (.2961*cosine).

ZEN (Zendesk Inc) has an average price of 23.99 (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 5/15/2014 to 9/5/2017 for ZEN (Zendesk Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
023.98563   0 
1.53921 -2.0818 (1*2π)/174174 weeks
2-1.49771 -.11111 (2*2π)/17487 weeks
3.09498 -1.15548 (3*2π)/17458 weeks
4-1.02975 -2.52491 (4*2π)/17444 weeks
5-1.35613 .44837 (5*2π)/17435 weeks
6.65262 -.9217 (6*2π)/17429 weeks
7-.17645 -.53388 (7*2π)/17425 weeks
8-.44094 -1.7684 (8*2π)/17422 weeks
9-.32633 -.18512 (9*2π)/17419 weeks
10.23783 -.7547 (10*2π)/17417 weeks
11-.02003 .00566 (11*2π)/17416 weeks
12.01698 -.63128 (12*2π)/17415 weeks
13.14599 .19372 (13*2π)/17413 weeks
14-.03901 -.10403 (14*2π)/17412 weeks
15-.0335 .34459 (15*2π)/17412 weeks
16-.28025 .07651 (16*2π)/17411 weeks
17-.25213 -.09357 (17*2π)/17410 weeks
18-.00573 -.30342 (18*2π)/17410 weeks
19-.29608 -.39914 (19*2π)/1749 weeks
20-.14923 -.29559 (20*2π)/1749 weeks
21-.14011 -.32994 (21*2π)/1748 weeks
22.20001 -.17198 (22*2π)/1748 weeks
23-.23987 -.05268 (23*2π)/1748 weeks
24.16743 -.18951 (24*2π)/1747 weeks
25.02236 -.25378 (25*2π)/1747 weeks
26.1812 -.15953 (26*2π)/1747 weeks
27-.00881 -.25501 (27*2π)/1746 weeks
28.09385 .11561 (28*2π)/1746 weeks
29-.06241 -.17878 (29*2π)/1746 weeks
30-.14014 -.08846 (30*2π)/1746 weeks
31-.17241 -.21481 (31*2π)/1746 weeks
32-.22399 -.25281 (32*2π)/1745 weeks
33-.1 -.25841 (33*2π)/1745 weeks
34-.02446 -.03297 (34*2π)/1745 weeks
35.1508 -.26636 (35*2π)/1745 weeks
36-.03359 -.10886 (36*2π)/1745 weeks
37-.12106 -.13257 (37*2π)/1745 weeks
38-.27305 .09474 (38*2π)/1745 weeks
39-.06894 .03351 (39*2π)/1744 weeks
40-.16661 -.0404 (40*2π)/1744 weeks
41-.07193 -.06987 (41*2π)/1744 weeks
42-.16054 -.06844 (42*2π)/1744 weeks
43.04793 .01204 (43*2π)/1744 weeks
44-.108 .19848 (44*2π)/1744 weeks
45.21818 -.03036 (45*2π)/1744 weeks
46-.18977 .02077 (46*2π)/1744 weeks
47-.1682 -.03936 (47*2π)/1744 weeks
48-.15606 -.03045 (48*2π)/1744 weeks
49-.10514 -.1649 (49*2π)/1744 weeks
50-.16098 -.03529 (50*2π)/1743 weeks
51-.04799 -.12461 (51*2π)/1743 weeks
52-.13719 .07465 (52*2π)/1743 weeks
53-.08722 -.09114 (53*2π)/1743 weeks
54-.07337 -.03821 (54*2π)/1743 weeks
55.00545 .07451 (55*2π)/1743 weeks
56-.07138 -.00876 (56*2π)/1743 weeks
57.05999 -.12925 (57*2π)/1743 weeks
58-.0377 -.06709 (58*2π)/1743 weeks
59.02328 -.0554 (59*2π)/1743 weeks
60.00002 -.09296 (60*2π)/1743 weeks
61-.13741 -.03174 (61*2π)/1743 weeks
62-.15056 -.04911 (62*2π)/1743 weeks
63-.16209 -.0203 (63*2π)/1743 weeks
64-.13475 .02708 (64*2π)/1743 weeks
65-.19607 -.01652 (65*2π)/1743 weeks
66-.15799 .00806 (66*2π)/1743 weeks
67-.08977 -.11393 (67*2π)/1743 weeks
68-.00542 -.10367 (68*2π)/1743 weeks
69-.15814 -.03729 (69*2π)/1743 weeks
70-.04148 -.04566 (70*2π)/1742 weeks
71.02936 -.01385 (71*2π)/1742 weeks
72.00272 -.10308 (72*2π)/1742 weeks
73-.05179 .19688 (73*2π)/1742 weeks
74-.15758 .04267 (74*2π)/1742 weeks
75-.20228 -.0326 (75*2π)/1742 weeks
76-.14331 -.15592 (76*2π)/1742 weeks
77-.10913 -.07427 (77*2π)/1742 weeks
78.03147 -.01837 (78*2π)/1742 weeks
79.10037 .01887 (79*2π)/1742 weeks
80-.00005 .01667 (80*2π)/1742 weeks
81-.13225 -.06909 (81*2π)/1742 weeks
82-.14403 .21509 (82*2π)/1742 weeks
83-.15415 .07099 (83*2π)/1742 weeks
84-.13779 -.05157 (84*2π)/1742 weeks
85-.14402 -.0331 (85*2π)/1742 weeks
86.07765 -.01805 (86*2π)/1742 weeks
87.05793   (87*2π)/1742 weeks
88.07765 .01805 (88*2π)/1742 weeks
89-.14402 .0331 (89*2π)/1742 weeks
90-.13779 .05157 (90*2π)/1742 weeks
91-.15415 -.07099 (91*2π)/1742 weeks
92-.14403 -.21509 (92*2π)/1742 weeks
93-.13225 .06909 (93*2π)/1742 weeks
94-.00005 -.01667 (94*2π)/1742 weeks
95.10037 -.01887 (95*2π)/1742 weeks
96.03147 .01837 (96*2π)/1742 weeks
97-.10913 .07427 (97*2π)/1742 weeks
98-.14331 .15592 (98*2π)/1742 weeks
99-.20228 .0326 (99*2π)/1742 weeks
100-.15758 -.04267 (100*2π)/1742 weeks
101-.05179 -.19688 (101*2π)/1742 weeks
102.00272 .10308 (102*2π)/1742 weeks
103.02936 .01385 (103*2π)/1742 weeks
104-.04148 .04566 (104*2π)/1742 weeks
105-.15814 .03729 (105*2π)/1742 weeks
106-.00542 .10367 (106*2π)/1742 weeks
107-.08977 .11393 (107*2π)/1742 weeks
108-.15799 -.00806 (108*2π)/1742 weeks
109-.19607 .01652 (109*2π)/1742 weeks
110-.13475 -.02708 (110*2π)/1742 weeks
111-.16209 .0203 (111*2π)/1742 weeks
112-.15056 .04911 (112*2π)/1742 weeks
113-.13741 .03174 (113*2π)/1742 weeks
114.00002 .09296 (114*2π)/1742 weeks
115.02328 .0554 (115*2π)/1742 weeks
116-.0377 .06709 (116*2π)/1742 weeks
117.05999 .12925 (117*2π)/1741 weeks
118-.07138 .00876 (118*2π)/1741 weeks
119.00545 -.07451 (119*2π)/1741 weeks
120-.07337 .03821 (120*2π)/1741 weeks
121-.08722 .09114 (121*2π)/1741 weeks
122-.13719 -.07465 (122*2π)/1741 weeks
123-.04799 .12461 (123*2π)/1741 weeks
124-.16098 .03529 (124*2π)/1741 weeks
125-.10514 .1649 (125*2π)/1741 weeks
126-.15606 .03045 (126*2π)/1741 weeks
127-.1682 .03936 (127*2π)/1741 weeks
128-.18977 -.02077 (128*2π)/1741 weeks
129.21818 .03036 (129*2π)/1741 weeks
130-.108 -.19848 (130*2π)/1741 weeks
131.04793 -.01204 (131*2π)/1741 weeks
132-.16054 .06844 (132*2π)/1741 weeks
133-.07193 .06987 (133*2π)/1741 weeks
134-.16661 .0404 (134*2π)/1741 weeks
135-.06894 -.03351 (135*2π)/1741 weeks
136-.27305 -.09474 (136*2π)/1741 weeks
137-.12106 .13257 (137*2π)/1741 weeks
138-.03359 .10886 (138*2π)/1741 weeks
139.1508 .26636 (139*2π)/1741 weeks
140-.02446 .03297 (140*2π)/1741 weeks
141-.1 .25841 (141*2π)/1741 weeks
142-.22399 .25281 (142*2π)/1741 weeks
143-.17241 .21481 (143*2π)/1741 weeks
144-.14014 .08846 (144*2π)/1741 weeks
145-.06241 .17878 (145*2π)/1741 weeks
146.09385 -.11561 (146*2π)/1741 weeks
147-.00881 .25501 (147*2π)/1741 weeks
148.1812 .15953 (148*2π)/1741 weeks
149.02236 .25378 (149*2π)/1741 weeks
150.16743 .18951 (150*2π)/1741 weeks
151-.23987 .05268 (151*2π)/1741 weeks
152.20001 .17198 (152*2π)/1741 weeks
153-.14011 .32994 (153*2π)/1741 weeks
154-.14923 .29559 (154*2π)/1741 weeks
155-.29608 .39914 (155*2π)/1741 weeks
156-.00573 .30342 (156*2π)/1741 weeks
157-.25213 .09357 (157*2π)/1741 weeks
158-.28025 -.07651 (158*2π)/1741 weeks
159-.0335 -.34459 (159*2π)/1741 weeks
160-.03901 .10403 (160*2π)/1741 weeks
161.14599 -.19372 (161*2π)/1741 weeks
162.01698 .63128 (162*2π)/1741 weeks
163-.02003 -.00566 (163*2π)/1741 weeks
164.23783 .7547 (164*2π)/1741 weeks
165-.32633 .18512 (165*2π)/1741 weeks
166-.44094 1.7684 (166*2π)/1741 weeks
167-.17645 .53388 (167*2π)/1741 weeks
168.65262 .9217 (168*2π)/1741 weeks
169-1.35613 -.44837 (169*2π)/1741 weeks
170-1.02975 2.52491 (170*2π)/1741 weeks
171.09498 1.15548 (171*2π)/1741 weeks
172-1.49771 .11111 (172*2π)/1741 weeks



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