Back to list of Stocks    See Also: Seasonal Analysis of AERIGenetic Algorithms Stock Portfolio Generator, and Fourier Calculator

Fourier Analysis of AERI (Aerie Pharmaceuticals, Inc.)


AERI (Aerie Pharmaceuticals, Inc.) appears to have interesting cyclic behaviour every 16 weeks (1.5071*cosine), 13 weeks (1.4415*sine), and 14 weeks (1.3546*cosine).

AERI (Aerie Pharmaceuticals, Inc.) has an average price of 21.08 (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 12/5/2016 for AERI (Aerie Pharmaceuticals, Inc.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
021.08006   0 
1-.12307 1.20145 (1*2π)/164164 weeks
22.26534 -3.11256 (2*2π)/16482 weeks
33.83579 -.76894 (3*2π)/16455 weeks
4-2.03032 -4.34724 (4*2π)/16441 weeks
5.71123 -1.16467 (5*2π)/16433 weeks
6-.87074 -2.15246 (6*2π)/16427 weeks
7-.85508 -2.78716 (7*2π)/16423 weeks
8-1.57227 -2.21699 (8*2π)/16421 weeks
9.86527 -.8457 (9*2π)/16418 weeks
10-1.50714 -.13234 (10*2π)/16416 weeks
11.06572 -.15532 (11*2π)/16415 weeks
12-1.35456 -.22795 (12*2π)/16414 weeks
131.16922 -1.44154 (13*2π)/16413 weeks
14-.14787 -.02779 (14*2π)/16412 weeks
15.88908 -.94635 (15*2π)/16411 weeks
16-.23738 -.70514 (16*2π)/16410 weeks
17.2516 -1.2085 (17*2π)/16410 weeks
18.1955 -.64762 (18*2π)/1649 weeks
19-.22915 -.81206 (19*2π)/1649 weeks
20-.50757 -.42987 (20*2π)/1648 weeks
21-1.16232 -1.42789 (21*2π)/1648 weeks
22-.49394 .12519 (22*2π)/1647 weeks
23-.23141 -.25294 (23*2π)/1647 weeks
24-.31942 -.00428 (24*2π)/1647 weeks
25-.54774 -.23711 (25*2π)/1647 weeks
26-.24796 -.23104 (26*2π)/1646 weeks
27-.31672 -.0669 (27*2π)/1646 weeks
28.61729 -.23348 (28*2π)/1646 weeks
29-.42278 .02184 (29*2π)/1646 weeks
30.11904 -.40665 (30*2π)/1645 weeks
31-.34439 -.18331 (31*2π)/1645 weeks
32-.14352 -.21095 (32*2π)/1645 weeks
33-.50836 .13697 (33*2π)/1645 weeks
34-.32648 -.29883 (34*2π)/1645 weeks
35-.359 .23934 (35*2π)/1645 weeks
36.11897 -.58409 (36*2π)/1645 weeks
37-.33049 .28209 (37*2π)/1644 weeks
38.193 -.13104 (38*2π)/1644 weeks
39-.02892 .03812 (39*2π)/1644 weeks
40.05389 -.36254 (40*2π)/1644 weeks
41-.125 -.12927 (41*2π)/1644 weeks
42-.2769 -.37269 (42*2π)/1644 weeks
43.26259 -.29773 (43*2π)/1644 weeks
44-.61943 -.33909 (44*2π)/1644 weeks
45.03093 -.02514 (45*2π)/1644 weeks
46-.30576 -.36059 (46*2π)/1644 weeks
47-.15914 -.08214 (47*2π)/1643 weeks
48-.33863 .26197 (48*2π)/1643 weeks
49-.14933 -.2224 (49*2π)/1643 weeks
50-.21704 .07796 (50*2π)/1643 weeks
51.08951 -.38895 (51*2π)/1643 weeks
52-.39112 .03437 (52*2π)/1643 weeks
53.18238 -.35095 (53*2π)/1643 weeks
54-.17346 -.11851 (54*2π)/1643 weeks
55.02137 -.36594 (55*2π)/1643 weeks
56-.15758 -.01057 (56*2π)/1643 weeks
57-.28022 -.21094 (57*2π)/1643 weeks
58-.22335 .19555 (58*2π)/1643 weeks
59-.39319 -.07475 (59*2π)/1643 weeks
60-.19411 .05766 (60*2π)/1643 weeks
61-.20665 .0119 (61*2π)/1643 weeks
62-.02756 .2118 (62*2π)/1643 weeks
63-.07461 .04767 (63*2π)/1643 weeks
64-.22315 -.06203 (64*2π)/1643 weeks
65-.06291 .08945 (65*2π)/1643 weeks
66.06452 -.27162 (66*2π)/1642 weeks
67-.4215 .01025 (67*2π)/1642 weeks
68.00533 -.13294 (68*2π)/1642 weeks
69-.34068 -.1807 (69*2π)/1642 weeks
70-.13611 -.29642 (70*2π)/1642 weeks
71-.20665 .05915 (71*2π)/1642 weeks
72-.28269 -.08905 (72*2π)/1642 weeks
73-.24548 .1095 (73*2π)/1642 weeks
74-.21985 -.31381 (74*2π)/1642 weeks
75-.14056 .26294 (75*2π)/1642 weeks
76-.02869 -.18127 (76*2π)/1642 weeks
77-.12472 .14324 (77*2π)/1642 weeks
78-.10232 -.22747 (78*2π)/1642 weeks
79-.06619 -.1144 (79*2π)/1642 weeks
80-.11011 .02755 (80*2π)/1642 weeks
81-.07345 -.06606 (81*2π)/1642 weeks
82-.32183   (82*2π)/1642 weeks
83-.07345 .06606 (83*2π)/1642 weeks
84-.11011 -.02755 (84*2π)/1642 weeks
85-.06619 .1144 (85*2π)/1642 weeks
86-.10232 .22747 (86*2π)/1642 weeks
87-.12472 -.14324 (87*2π)/1642 weeks
88-.02869 .18127 (88*2π)/1642 weeks
89-.14056 -.26294 (89*2π)/1642 weeks
90-.21985 .31381 (90*2π)/1642 weeks
91-.24548 -.1095 (91*2π)/1642 weeks
92-.28269 .08905 (92*2π)/1642 weeks
93-.20665 -.05915 (93*2π)/1642 weeks
94-.13611 .29642 (94*2π)/1642 weeks
95-.34068 .1807 (95*2π)/1642 weeks
96.00533 .13294 (96*2π)/1642 weeks
97-.4215 -.01025 (97*2π)/1642 weeks
98.06452 .27162 (98*2π)/1642 weeks
99-.06291 -.08945 (99*2π)/1642 weeks
100-.22315 .06203 (100*2π)/1642 weeks
101-.07461 -.04767 (101*2π)/1642 weeks
102-.02756 -.2118 (102*2π)/1642 weeks
103-.20665 -.0119 (103*2π)/1642 weeks
104-.19411 -.05766 (104*2π)/1642 weeks
105-.39319 .07475 (105*2π)/1642 weeks
106-.22335 -.19555 (106*2π)/1642 weeks
107-.28022 .21094 (107*2π)/1642 weeks
108-.15758 .01057 (108*2π)/1642 weeks
109.02137 .36594 (109*2π)/1642 weeks
110-.17346 .11851 (110*2π)/1641 weeks
111.18238 .35095 (111*2π)/1641 weeks
112-.39112 -.03437 (112*2π)/1641 weeks
113.08951 .38895 (113*2π)/1641 weeks
114-.21704 -.07796 (114*2π)/1641 weeks
115-.14933 .2224 (115*2π)/1641 weeks
116-.33863 -.26197 (116*2π)/1641 weeks
117-.15914 .08214 (117*2π)/1641 weeks
118-.30576 .36059 (118*2π)/1641 weeks
119.03093 .02514 (119*2π)/1641 weeks
120-.61943 .33909 (120*2π)/1641 weeks
121.26259 .29773 (121*2π)/1641 weeks
122-.2769 .37269 (122*2π)/1641 weeks
123-.125 .12927 (123*2π)/1641 weeks
124.05389 .36254 (124*2π)/1641 weeks
125-.02892 -.03812 (125*2π)/1641 weeks
126.193 .13104 (126*2π)/1641 weeks
127-.33049 -.28209 (127*2π)/1641 weeks
128.11897 .58409 (128*2π)/1641 weeks
129-.359 -.23934 (129*2π)/1641 weeks
130-.32648 .29883 (130*2π)/1641 weeks
131-.50836 -.13697 (131*2π)/1641 weeks
132-.14352 .21095 (132*2π)/1641 weeks
133-.34439 .18331 (133*2π)/1641 weeks
134.11904 .40665 (134*2π)/1641 weeks
135-.42278 -.02184 (135*2π)/1641 weeks
136.61729 .23348 (136*2π)/1641 weeks
137-.31672 .0669 (137*2π)/1641 weeks
138-.24796 .23104 (138*2π)/1641 weeks
139-.54774 .23711 (139*2π)/1641 weeks
140-.31942 .00428 (140*2π)/1641 weeks
141-.23141 .25294 (141*2π)/1641 weeks
142-.49394 -.12519 (142*2π)/1641 weeks
143-1.16232 1.42789 (143*2π)/1641 weeks
144-.50757 .42987 (144*2π)/1641 weeks
145-.22915 .81206 (145*2π)/1641 weeks
146.1955 .64762 (146*2π)/1641 weeks
147.2516 1.2085 (147*2π)/1641 weeks
148-.23738 .70514 (148*2π)/1641 weeks
149.88908 .94635 (149*2π)/1641 weeks
150-.14787 .02779 (150*2π)/1641 weeks
1511.16922 1.44154 (151*2π)/1641 weeks
152-1.35456 .22795 (152*2π)/1641 weeks
153.06572 .15532 (153*2π)/1641 weeks
154-1.50714 .13234 (154*2π)/1641 weeks
155.86527 .8457 (155*2π)/1641 weeks
156-1.57227 2.21699 (156*2π)/1641 weeks
157-.85508 2.78716 (157*2π)/1641 weeks
158-.87074 2.15246 (158*2π)/1641 weeks
159.71123 1.16467 (159*2π)/1641 weeks
160-2.03032 4.34724 (160*2π)/1641 weeks
1613.83579 .76894 (161*2π)/1641 weeks
1622.26534 3.11256 (162*2π)/1641 weeks

Problems, Comments, Suggestions? Click here to contact Greg Thatcher

Please read my Disclaimer





Copyright (c) 2013 Thatcher Development Software, LLC. All rights reserved. No claim to original U.S. Gov't works.