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Fourier Analysis of AKBA (Akebia Therapeutics, Inc.)


AKBA (Akebia Therapeutics, Inc.) appears to have interesting cyclic behaviour every 13 weeks (1.0563*sine), 13 weeks (.5891*cosine), and 7 weeks (.4408*cosine).

AKBA (Akebia Therapeutics, Inc.) has an average price of 12.45 (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 3/20/2014 to 11/21/2016 for AKBA (Akebia Therapeutics, Inc.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
012.45411   0 
14.1957 4.42386 (1*2π)/141141 weeks
2.50898 4.66813 (2*2π)/14171 weeks
3-.83505 2.10498 (3*2π)/14147 weeks
4-1.02892 1.05588 (4*2π)/14135 weeks
5.10809 .3851 (5*2π)/14128 weeks
6.08304 .56892 (6*2π)/14124 weeks
7-.63915 .76897 (7*2π)/14120 weeks
8.03963 .20844 (8*2π)/14118 weeks
9.24346 -.02986 (9*2π)/14116 weeks
10.26072 -.19442 (10*2π)/14114 weeks
11.58915 1.05628 (11*2π)/14113 weeks
12.09153 .33556 (12*2π)/14112 weeks
13-.1503 .46288 (13*2π)/14111 weeks
14.4301 .34337 (14*2π)/14110 weeks
15-.21001 .3714 (15*2π)/1419 weeks
16.01135 .11914 (16*2π)/1419 weeks
17-.1548 .07296 (17*2π)/1418 weeks
18.03307 -.51177 (18*2π)/1418 weeks
19.07885 -.18881 (19*2π)/1417 weeks
20.44078 .21155 (20*2π)/1417 weeks
21.05703 .01151 (21*2π)/1417 weeks
22.19134 .04816 (22*2π)/1416 weeks
23.22078 -.10883 (23*2π)/1416 weeks
24.24478 -.04557 (24*2π)/1416 weeks
25.14155 .15412 (25*2π)/1416 weeks
26.20094 .17636 (26*2π)/1415 weeks
27.33276 -.28046 (27*2π)/1415 weeks
28.34263 .27724 (28*2π)/1415 weeks
29.2288 .21746 (29*2π)/1415 weeks
30.01233 .0752 (30*2π)/1415 weeks
31.17951 .07438 (31*2π)/1415 weeks
32.37995 -.01453 (32*2π)/1414 weeks
33.33427 .2851 (33*2π)/1414 weeks
34.01773 .29309 (34*2π)/1414 weeks
35.09321 .00963 (35*2π)/1414 weeks
36.21221 .00911 (36*2π)/1414 weeks
37.14262 .34048 (37*2π)/1414 weeks
38.20101 .0564 (38*2π)/1414 weeks
39-.03121 .17024 (39*2π)/1414 weeks
40.30607 .09293 (40*2π)/1414 weeks
41.32477 .14537 (41*2π)/1413 weeks
42.11496 .34049 (42*2π)/1413 weeks
43-.01481 .1354 (43*2π)/1413 weeks
44.00437 .11379 (44*2π)/1413 weeks
45.1092 .12139 (45*2π)/1413 weeks
46.03262 -.01228 (46*2π)/1413 weeks
47.28887 .19102 (47*2π)/1413 weeks
48.09742 .13156 (48*2π)/1413 weeks
49.07658 .17884 (49*2π)/1413 weeks
50-.04744 .17427 (50*2π)/1413 weeks
51.0335 -.05109 (51*2π)/1413 weeks
52-.07395 .05076 (52*2π)/1413 weeks
53.2199 -.07339 (53*2π)/1413 weeks
54.03288 -.02539 (54*2π)/1413 weeks
55.11587 .09929 (55*2π)/1413 weeks
56.04503 -.05185 (56*2π)/1413 weeks
57-.03389 -.00877 (57*2π)/1412 weeks
58-.03826 -.12927 (58*2π)/1412 weeks
59.18124 -.09151 (59*2π)/1412 weeks
60.05967 -.10533 (60*2π)/1412 weeks
61.10768 -.07283 (61*2π)/1412 weeks
62.14904 -.10086 (62*2π)/1412 weeks
63.0808 -.13908 (63*2π)/1412 weeks
64.22234 -.06893 (64*2π)/1412 weeks
65.20307 -.04087 (65*2π)/1412 weeks
66.15165 -.13211 (66*2π)/1412 weeks
67.26535 -.04063 (67*2π)/1412 weeks
68.32519 -.00028 (68*2π)/1412 weeks
69.17482 .0052 (69*2π)/1412 weeks
70.13288 .1474 (70*2π)/1412 weeks
71.13288 -.1474 (71*2π)/1412 weeks
72.17482 -.0052 (72*2π)/1412 weeks
73.32519 .00028 (73*2π)/1412 weeks
74.26535 .04063 (74*2π)/1412 weeks
75.15165 .13211 (75*2π)/1412 weeks
76.20307 .04087 (76*2π)/1412 weeks
77.22234 .06893 (77*2π)/1412 weeks
78.0808 .13908 (78*2π)/1412 weeks
79.14904 .10086 (79*2π)/1412 weeks
80.10768 .07283 (80*2π)/1412 weeks
81.05967 .10533 (81*2π)/1412 weeks
82.18124 .09151 (82*2π)/1412 weeks
83-.03826 .12927 (83*2π)/1412 weeks
84-.03389 .00877 (84*2π)/1412 weeks
85.04503 .05185 (85*2π)/1412 weeks
86.11587 -.09929 (86*2π)/1412 weeks
87.03288 .02539 (87*2π)/1412 weeks
88.2199 .07339 (88*2π)/1412 weeks
89-.07395 -.05076 (89*2π)/1412 weeks
90.0335 .05109 (90*2π)/1412 weeks
91-.04744 -.17427 (91*2π)/1412 weeks
92.07658 -.17884 (92*2π)/1412 weeks
93.09742 -.13156 (93*2π)/1412 weeks
94.28887 -.19102 (94*2π)/1412 weeks
95.03262 .01228 (95*2π)/1411 weeks
96.1092 -.12139 (96*2π)/1411 weeks
97.00437 -.11379 (97*2π)/1411 weeks
98-.01481 -.1354 (98*2π)/1411 weeks
99.11496 -.34049 (99*2π)/1411 weeks
100.32477 -.14537 (100*2π)/1411 weeks
101.30607 -.09293 (101*2π)/1411 weeks
102-.03121 -.17024 (102*2π)/1411 weeks
103.20101 -.0564 (103*2π)/1411 weeks
104.14262 -.34048 (104*2π)/1411 weeks
105.21221 -.00911 (105*2π)/1411 weeks
106.09321 -.00963 (106*2π)/1411 weeks
107.01773 -.29309 (107*2π)/1411 weeks
108.33427 -.2851 (108*2π)/1411 weeks
109.37995 .01453 (109*2π)/1411 weeks
110.17951 -.07438 (110*2π)/1411 weeks
111.01233 -.0752 (111*2π)/1411 weeks
112.2288 -.21746 (112*2π)/1411 weeks
113.34263 -.27724 (113*2π)/1411 weeks
114.33276 .28046 (114*2π)/1411 weeks
115.20094 -.17636 (115*2π)/1411 weeks
116.14155 -.15412 (116*2π)/1411 weeks
117.24478 .04557 (117*2π)/1411 weeks
118.22078 .10883 (118*2π)/1411 weeks
119.19134 -.04816 (119*2π)/1411 weeks
120.05703 -.01151 (120*2π)/1411 weeks
121.44078 -.21155 (121*2π)/1411 weeks
122.07885 .18881 (122*2π)/1411 weeks
123.03307 .51177 (123*2π)/1411 weeks
124-.1548 -.07296 (124*2π)/1411 weeks
125.01135 -.11914 (125*2π)/1411 weeks
126-.21001 -.3714 (126*2π)/1411 weeks
127.4301 -.34337 (127*2π)/1411 weeks
128-.1503 -.46288 (128*2π)/1411 weeks
129.09153 -.33556 (129*2π)/1411 weeks
130.58915 -1.05628 (130*2π)/1411 weeks
131.26072 .19442 (131*2π)/1411 weeks
132.24346 .02986 (132*2π)/1411 weeks
133.03963 -.20844 (133*2π)/1411 weeks
134-.63915 -.76897 (134*2π)/1411 weeks
135.08304 -.56892 (135*2π)/1411 weeks
136.10809 -.3851 (136*2π)/1411 weeks
137-1.02892 -1.05588 (137*2π)/1411 weeks
138-.83505 -2.10498 (138*2π)/1411 weeks
139.50898 -4.66813 (139*2π)/1411 weeks

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