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Fourier Analysis of ALDR (Alder BioPharmaceuticals Inc)


ALDR (Alder BioPharmaceuticals Inc) appears to have interesting cyclic behaviour every 8 weeks (1.0131*cosine), 9 weeks (.9113*sine), and 7 weeks (.8461*cosine).

ALDR (Alder BioPharmaceuticals Inc) has an average price of 25.56 (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 5/8/2014 to 8/14/2017 for ALDR (Alder BioPharmaceuticals Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
025.55544   0 
1-9.52264 2.41515 (1*2π)/172172 weeks
2-4.0206 -4.81769 (2*2π)/17286 weeks
32.31884 2.07532 (3*2π)/17257 weeks
4-1.24533 -.7059 (4*2π)/17243 weeks
5-.67755 -.024 (5*2π)/17234 weeks
61.0279 2.01415 (6*2π)/17229 weeks
7-2.30032 2.16185 (7*2π)/17225 weeks
8.06387 -1.82639 (8*2π)/17222 weeks
9-.66947 .56838 (9*2π)/17219 weeks
10.22091 .15278 (10*2π)/17217 weeks
11-.80327 .09501 (11*2π)/17216 weeks
12.24643 .48985 (12*2π)/17214 weeks
13-.4653 .5837 (13*2π)/17213 weeks
14-.25276 -.63398 (14*2π)/17212 weeks
15.22321 .1033 (15*2π)/17211 weeks
16-.44305 .31602 (16*2π)/17211 weeks
17.00704 .14936 (17*2π)/17210 weeks
18-.80285 -.02464 (18*2π)/17210 weeks
19.40939 -.91126 (19*2π)/1729 weeks
20.02817 .08908 (20*2π)/1729 weeks
21-.14918 -.20776 (21*2π)/1728 weeks
221.01312 -.4388 (22*2π)/1728 weeks
23-.8461 .04271 (23*2π)/1727 weeks
24-.21239 -.05015 (24*2π)/1727 weeks
25-.02533 -.25413 (25*2π)/1727 weeks
26.0456 -.20752 (26*2π)/1727 weeks
27.21201 -.14763 (27*2π)/1726 weeks
28-.37765 .21389 (28*2π)/1726 weeks
29.3798 .27319 (29*2π)/1726 weeks
30.02187 .13785 (30*2π)/1726 weeks
31-.10266 -.04874 (31*2π)/1726 weeks
32.14737 -.32178 (32*2π)/1725 weeks
33.28228 .13963 (33*2π)/1725 weeks
34.30132 .26076 (34*2π)/1725 weeks
35.09838 .13867 (35*2π)/1725 weeks
36.07198 -.04019 (36*2π)/1725 weeks
37.19184 .22738 (37*2π)/1725 weeks
38.0268 -.03465 (38*2π)/1725 weeks
39.03697 -.21025 (39*2π)/1724 weeks
40.04935 -.07147 (40*2π)/1724 weeks
41-.37403 -.07963 (41*2π)/1724 weeks
42.2554 -.09843 (42*2π)/1724 weeks
43.55297 .30733 (43*2π)/1724 weeks
44-.17636 -.28806 (44*2π)/1724 weeks
45-.19872 -.02705 (45*2π)/1724 weeks
46.09943 .21643 (46*2π)/1724 weeks
47-.02003 .29048 (47*2π)/1724 weeks
48-.32972 -.38461 (48*2π)/1724 weeks
49.12935 .42946 (49*2π)/1724 weeks
50.0313 .07038 (50*2π)/1723 weeks
51-.16409 .18567 (51*2π)/1723 weeks
52-.08802 .04986 (52*2π)/1723 weeks
53-.11179 .03658 (53*2π)/1723 weeks
54-.01313 .33137 (54*2π)/1723 weeks
55.08234 -.15929 (55*2π)/1723 weeks
56.1301 -.06212 (56*2π)/1723 weeks
57-.01253 .00792 (57*2π)/1723 weeks
58-.09432 -.01295 (58*2π)/1723 weeks
59.09515 -.20693 (59*2π)/1723 weeks
60-.17101 -.11073 (60*2π)/1723 weeks
61-.03316 -.0727 (61*2π)/1723 weeks
62-.03734 .04359 (62*2π)/1723 weeks
63.18194 -.17587 (63*2π)/1723 weeks
64.05961 -.15719 (64*2π)/1723 weeks
65-.34571 -.13914 (65*2π)/1723 weeks
66.18958 .1958 (66*2π)/1723 weeks
67-.16542 .02948 (67*2π)/1723 weeks
68.08876 -.14037 (68*2π)/1723 weeks
69-.17433 .07353 (69*2π)/1722 weeks
70-.05228 .2743 (70*2π)/1722 weeks
71.14889 -.0531 (71*2π)/1722 weeks
72.00457 .0183 (72*2π)/1722 weeks
73.17434 .26705 (73*2π)/1722 weeks
74-.0127 -.02857 (74*2π)/1722 weeks
75.28041 -.10222 (75*2π)/1722 weeks
76.08434 .00946 (76*2π)/1722 weeks
77.00277 -.10163 (77*2π)/1722 weeks
78.13143 .20167 (78*2π)/1722 weeks
79-.15027 -.11366 (79*2π)/1722 weeks
80.24065 -.03712 (80*2π)/1722 weeks
81-.17499 .01014 (81*2π)/1722 weeks
82-.11057 .00739 (82*2π)/1722 weeks
83.10684 .0075 (83*2π)/1722 weeks
84-.14461 -.05954 (84*2π)/1722 weeks
85.05714 -.11705 (85*2π)/1722 weeks
86-.07122   (86*2π)/1722 weeks
87.05714 .11705 (87*2π)/1722 weeks
88-.14461 .05954 (88*2π)/1722 weeks
89.10684 -.0075 (89*2π)/1722 weeks
90-.11057 -.00739 (90*2π)/1722 weeks
91-.17499 -.01014 (91*2π)/1722 weeks
92.24065 .03712 (92*2π)/1722 weeks
93-.15027 .11366 (93*2π)/1722 weeks
94.13143 -.20167 (94*2π)/1722 weeks
95.00277 .10163 (95*2π)/1722 weeks
96.08434 -.00946 (96*2π)/1722 weeks
97.28041 .10222 (97*2π)/1722 weeks
98-.0127 .02857 (98*2π)/1722 weeks
99.17434 -.26705 (99*2π)/1722 weeks
100.00457 -.0183 (100*2π)/1722 weeks
101.14889 .0531 (101*2π)/1722 weeks
102-.05228 -.2743 (102*2π)/1722 weeks
103-.17433 -.07353 (103*2π)/1722 weeks
104.08876 .14037 (104*2π)/1722 weeks
105-.16542 -.02948 (105*2π)/1722 weeks
106.18958 -.1958 (106*2π)/1722 weeks
107-.34571 .13914 (107*2π)/1722 weeks
108.05961 .15719 (108*2π)/1722 weeks
109.18194 .17587 (109*2π)/1722 weeks
110-.03734 -.04359 (110*2π)/1722 weeks
111-.03316 .0727 (111*2π)/1722 weeks
112-.17101 .11073 (112*2π)/1722 weeks
113.09515 .20693 (113*2π)/1722 weeks
114-.09432 .01295 (114*2π)/1722 weeks
115-.01253 -.00792 (115*2π)/1721 weeks
116.1301 .06212 (116*2π)/1721 weeks
117.08234 .15929 (117*2π)/1721 weeks
118-.01313 -.33137 (118*2π)/1721 weeks
119-.11179 -.03658 (119*2π)/1721 weeks
120-.08802 -.04986 (120*2π)/1721 weeks
121-.16409 -.18567 (121*2π)/1721 weeks
122.0313 -.07038 (122*2π)/1721 weeks
123.12935 -.42946 (123*2π)/1721 weeks
124-.32972 .38461 (124*2π)/1721 weeks
125-.02003 -.29048 (125*2π)/1721 weeks
126.09943 -.21643 (126*2π)/1721 weeks
127-.19872 .02705 (127*2π)/1721 weeks
128-.17636 .28806 (128*2π)/1721 weeks
129.55297 -.30733 (129*2π)/1721 weeks
130.2554 .09843 (130*2π)/1721 weeks
131-.37403 .07963 (131*2π)/1721 weeks
132.04935 .07147 (132*2π)/1721 weeks
133.03697 .21025 (133*2π)/1721 weeks
134.0268 .03465 (134*2π)/1721 weeks
135.19184 -.22738 (135*2π)/1721 weeks
136.07198 .04019 (136*2π)/1721 weeks
137.09838 -.13867 (137*2π)/1721 weeks
138.30132 -.26076 (138*2π)/1721 weeks
139.28228 -.13963 (139*2π)/1721 weeks
140.14737 .32178 (140*2π)/1721 weeks
141-.10266 .04874 (141*2π)/1721 weeks
142.02187 -.13785 (142*2π)/1721 weeks
143.3798 -.27319 (143*2π)/1721 weeks
144-.37765 -.21389 (144*2π)/1721 weeks
145.21201 .14763 (145*2π)/1721 weeks
146.0456 .20752 (146*2π)/1721 weeks
147-.02533 .25413 (147*2π)/1721 weeks
148-.21239 .05015 (148*2π)/1721 weeks
149-.8461 -.04271 (149*2π)/1721 weeks
1501.01312 .4388 (150*2π)/1721 weeks
151-.14918 .20776 (151*2π)/1721 weeks
152.02817 -.08908 (152*2π)/1721 weeks
153.40939 .91126 (153*2π)/1721 weeks
154-.80285 .02464 (154*2π)/1721 weeks
155.00704 -.14936 (155*2π)/1721 weeks
156-.44305 -.31602 (156*2π)/1721 weeks
157.22321 -.1033 (157*2π)/1721 weeks
158-.25276 .63398 (158*2π)/1721 weeks
159-.4653 -.5837 (159*2π)/1721 weeks
160.24643 -.48985 (160*2π)/1721 weeks
161-.80327 -.09501 (161*2π)/1721 weeks
162.22091 -.15278 (162*2π)/1721 weeks
163-.66947 -.56838 (163*2π)/1721 weeks
164.06387 1.82639 (164*2π)/1721 weeks
165-2.30032 -2.16185 (165*2π)/1721 weeks
1661.0279 -2.01415 (166*2π)/1721 weeks
167-.67755 .024 (167*2π)/1721 weeks
168-1.24533 .7059 (168*2π)/1721 weeks
1692.31884 -2.07532 (169*2π)/1721 weeks
170-4.0206 4.81769 (170*2π)/1721 weeks



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