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Fourier Analysis of AERI (Aerie Pharmaceuticals, Inc.)


AERI (Aerie Pharmaceuticals, Inc.) appears to have interesting cyclic behaviour every 13 weeks (2.0422*sine), 8 weeks (1.8449*sine), and 11 weeks (1.7071*sine).

AERI (Aerie Pharmaceuticals, Inc.) has an average price of 22.82 (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 10/25/2013 to 3/13/2017 for AERI (Aerie Pharmaceuticals, Inc.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
022.8232   0 
13.45613 -.51274 (1*2π)/178178 weeks
22.92178 -6.25205 (2*2π)/17889 weeks
32.65341 -4.92775 (3*2π)/17859 weeks
4-3.97521 -1.94308 (4*2π)/17845 weeks
5.58738 -2.62478 (5*2π)/17836 weeks
6-1.26706 -.81365 (6*2π)/17830 weeks
7-.65432 -1.2488 (7*2π)/17825 weeks
8.62156 -1.79116 (8*2π)/17822 weeks
9.06535 -3.3073 (9*2π)/17820 weeks
10.79117 -.99082 (10*2π)/17818 weeks
11-1.4986 -1.20014 (11*2π)/17816 weeks
12-.1603 -.44182 (12*2π)/17815 weeks
13-1.25966 -.4578 (13*2π)/17814 weeks
14.83978 -2.0422 (14*2π)/17813 weeks
15.03229 -.40042 (15*2π)/17812 weeks
16-.09282 -1.70715 (16*2π)/17811 weeks
17-.66104 -.39381 (17*2π)/17810 weeks
18-.6521 -.81037 (18*2π)/17810 weeks
19.04547 -.26578 (19*2π)/1789 weeks
20.02114 .07189 (20*2π)/1789 weeks
21.33305 -.25582 (21*2π)/1788 weeks
22-.08859 -.33759 (22*2π)/1788 weeks
23-.16005 -1.84494 (23*2π)/1788 weeks
24-.5826 -.34063 (24*2π)/1787 weeks
25-.23773 -.41349 (25*2π)/1787 weeks
26-.25346 -.12563 (26*2π)/1787 weeks
27-.40744 -.26812 (27*2π)/1787 weeks
28-.0536 -.41552 (28*2π)/1786 weeks
29.02959 -.39305 (29*2π)/1786 weeks
30.08311 -1.03624 (30*2π)/1786 weeks
31-.17713 .07172 (31*2π)/1786 weeks
32-.47704 -.54164 (32*2π)/1786 weeks
33-.03752 -.1019 (33*2π)/1785 weeks
34-.24272 -.38112 (34*2π)/1785 weeks
35-.0965 -.28997 (35*2π)/1785 weeks
36-.6221 -.16917 (36*2π)/1785 weeks
37-.35789 -.41664 (37*2π)/1785 weeks
38-.41123 .11542 (38*2π)/1785 weeks
39-.00706 -.70919 (39*2π)/1785 weeks
40-.12495 .14439 (40*2π)/1784 weeks
41-.00005 -.59447 (41*2π)/1784 weeks
42-.22156 -.31042 (42*2π)/1784 weeks
43-.57691 -.43427 (43*2π)/1784 weeks
44-.35561 -.08169 (44*2π)/1784 weeks
45-.49507 -.03531 (45*2π)/1784 weeks
46-.31811 -.2965 (46*2π)/1784 weeks
47.07276 .24264 (47*2π)/1784 weeks
48-.36696 -.47085 (48*2π)/1784 weeks
49-.0918 .07756 (49*2π)/1784 weeks
50-.25016 -.32721 (50*2π)/1784 weeks
51-.15235 -.05221 (51*2π)/1783 weeks
52-.19516 .25665 (52*2π)/1783 weeks
53-.17315 -.2959 (53*2π)/1783 weeks
54-.07467 -.09297 (54*2π)/1783 weeks
55-.31455 -.51052 (55*2π)/1783 weeks
56-.12543 .05213 (56*2π)/1783 weeks
57-.415 -.47367 (57*2π)/1783 weeks
58-.07602 .02825 (58*2π)/1783 weeks
59-.25447 -.11216 (59*2π)/1783 weeks
60.12458 -.12339 (60*2π)/1783 weeks
61-.14725 -.02552 (61*2π)/1783 weeks
62-.19977 -.25516 (62*2π)/1783 weeks
63-.26414 .16324 (63*2π)/1783 weeks
64-.37957 -.04352 (64*2π)/1783 weeks
65-.11296 .04473 (65*2π)/1783 weeks
66-.10317 -.03095 (66*2π)/1783 weeks
67.08637 -.09082 (67*2π)/1783 weeks
68-.21471 -.16752 (68*2π)/1783 weeks
69-.32931 -.07331 (69*2π)/1783 weeks
70-.23365 -.19255 (70*2π)/1783 weeks
71-.45745 -.02808 (71*2π)/1783 weeks
72.01806 .11012 (72*2π)/1782 weeks
73-.40788 -.15528 (73*2π)/1782 weeks
74-.05024 -.01216 (74*2π)/1782 weeks
75-.31583 -.23069 (75*2π)/1782 weeks
76-.17263 -.32346 (76*2π)/1782 weeks
77-.24944 .026 (77*2π)/1782 weeks
78-.34355 -.06911 (78*2π)/1782 weeks
79-.1971 .04104 (79*2π)/1782 weeks
80-.41019 -.21024 (80*2π)/1782 weeks
81.05598 -.02014 (81*2π)/1782 weeks
82-.43037 -.17318 (82*2π)/1782 weeks
83-.12597 .01473 (83*2π)/1782 weeks
84-.42167 .07935 (84*2π)/1782 weeks
85-.10316 -.02007 (85*2π)/1782 weeks
86-.04789 -.00374 (86*2π)/1782 weeks
87-.12627 .06529 (87*2π)/1782 weeks
88-.04453 -.0241 (88*2π)/1782 weeks
89-.29539   (89*2π)/1782 weeks
90-.04453 .0241 (90*2π)/1782 weeks
91-.12627 -.06529 (91*2π)/1782 weeks
92-.04789 .00374 (92*2π)/1782 weeks
93-.10316 .02007 (93*2π)/1782 weeks
94-.42167 -.07935 (94*2π)/1782 weeks
95-.12597 -.01473 (95*2π)/1782 weeks
96-.43037 .17318 (96*2π)/1782 weeks
97.05598 .02014 (97*2π)/1782 weeks
98-.41019 .21024 (98*2π)/1782 weeks
99-.1971 -.04104 (99*2π)/1782 weeks
100-.34355 .06911 (100*2π)/1782 weeks
101-.24944 -.026 (101*2π)/1782 weeks
102-.17263 .32346 (102*2π)/1782 weeks
103-.31583 .23069 (103*2π)/1782 weeks
104-.05024 .01216 (104*2π)/1782 weeks
105-.40788 .15528 (105*2π)/1782 weeks
106.01806 -.11012 (106*2π)/1782 weeks
107-.45745 .02808 (107*2π)/1782 weeks
108-.23365 .19255 (108*2π)/1782 weeks
109-.32931 .07331 (109*2π)/1782 weeks
110-.21471 .16752 (110*2π)/1782 weeks
111.08637 .09082 (111*2π)/1782 weeks
112-.10317 .03095 (112*2π)/1782 weeks
113-.11296 -.04473 (113*2π)/1782 weeks
114-.37957 .04352 (114*2π)/1782 weeks
115-.26414 -.16324 (115*2π)/1782 weeks
116-.19977 .25516 (116*2π)/1782 weeks
117-.14725 .02552 (117*2π)/1782 weeks
118.12458 .12339 (118*2π)/1782 weeks
119-.25447 .11216 (119*2π)/1781 weeks
120-.07602 -.02825 (120*2π)/1781 weeks
121-.415 .47367 (121*2π)/1781 weeks
122-.12543 -.05213 (122*2π)/1781 weeks
123-.31455 .51052 (123*2π)/1781 weeks
124-.07467 .09297 (124*2π)/1781 weeks
125-.17315 .2959 (125*2π)/1781 weeks
126-.19516 -.25665 (126*2π)/1781 weeks
127-.15235 .05221 (127*2π)/1781 weeks
128-.25016 .32721 (128*2π)/1781 weeks
129-.0918 -.07756 (129*2π)/1781 weeks
130-.36696 .47085 (130*2π)/1781 weeks
131.07276 -.24264 (131*2π)/1781 weeks
132-.31811 .2965 (132*2π)/1781 weeks
133-.49507 .03531 (133*2π)/1781 weeks
134-.35561 .08169 (134*2π)/1781 weeks
135-.57691 .43427 (135*2π)/1781 weeks
136-.22156 .31042 (136*2π)/1781 weeks
137-.00005 .59447 (137*2π)/1781 weeks
138-.12495 -.14439 (138*2π)/1781 weeks
139-.00706 .70919 (139*2π)/1781 weeks
140-.41123 -.11542 (140*2π)/1781 weeks
141-.35789 .41664 (141*2π)/1781 weeks
142-.6221 .16917 (142*2π)/1781 weeks
143-.0965 .28997 (143*2π)/1781 weeks
144-.24272 .38112 (144*2π)/1781 weeks
145-.03752 .1019 (145*2π)/1781 weeks
146-.47704 .54164 (146*2π)/1781 weeks
147-.17713 -.07172 (147*2π)/1781 weeks
148.08311 1.03624 (148*2π)/1781 weeks
149.02959 .39305 (149*2π)/1781 weeks
150-.0536 .41552 (150*2π)/1781 weeks
151-.40744 .26812 (151*2π)/1781 weeks
152-.25346 .12563 (152*2π)/1781 weeks
153-.23773 .41349 (153*2π)/1781 weeks
154-.5826 .34063 (154*2π)/1781 weeks
155-.16005 1.84494 (155*2π)/1781 weeks
156-.08859 .33759 (156*2π)/1781 weeks
157.33305 .25582 (157*2π)/1781 weeks
158.02114 -.07189 (158*2π)/1781 weeks
159.04547 .26578 (159*2π)/1781 weeks
160-.6521 .81037 (160*2π)/1781 weeks
161-.66104 .39381 (161*2π)/1781 weeks
162-.09282 1.70715 (162*2π)/1781 weeks
163.03229 .40042 (163*2π)/1781 weeks
164.83978 2.0422 (164*2π)/1781 weeks
165-1.25966 .4578 (165*2π)/1781 weeks
166-.1603 .44182 (166*2π)/1781 weeks
167-1.4986 1.20014 (167*2π)/1781 weeks
168.79117 .99082 (168*2π)/1781 weeks
169.06535 3.3073 (169*2π)/1781 weeks
170.62156 1.79116 (170*2π)/1781 weeks
171-.65432 1.2488 (171*2π)/1781 weeks
172-1.26706 .81365 (172*2π)/1781 weeks
173.58738 2.62478 (173*2π)/1781 weeks
174-3.97521 1.94308 (174*2π)/1781 weeks
1752.65341 4.92775 (175*2π)/1781 weeks
1762.92178 6.25205 (176*2π)/1781 weeks

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