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# Fourier Analysis of HABC (Habersham Bancorp)

HABC (Habersham Bancorp) appears to have interesting cyclic behaviour every 3 weeks (.0036*sine), 2 weeks (.0036*sine), and 3 weeks (.0033*cosine).

HABC (Habersham Bancorp) has an average price of .02 (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.

## Fourier Analysis

Using data from 5/5/2017 to 4/16/2018 for HABC (Habersham Bancorp), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0.02259   0
1-.00965 -.00879 (1*2π)/5151 weeks
2.00117 .01263 (2*2π)/5126 weeks
3.00728 -.00964 (3*2π)/5117 weeks
4-.01107 .00207 (4*2π)/5113 weeks
5.00871 .0054 (5*2π)/5110 weeks
6-.00248 -.00873 (6*2π)/519 weeks
7-.00347 .00697 (7*2π)/517 weeks
8.00598 -.00232 (8*2π)/516 weeks
9-.00466 -.0018 (9*2π)/516 weeks
10.00159 .0032 (10*2π)/515 weeks
11.0006 -.00211 (11*2π)/515 weeks
12-.00076 .00047 (12*2π)/514 weeks
13-.00028 -.00005 (13*2π)/514 weeks
14.00079 .00105 (14*2π)/514 weeks
15.0002 -.00216 (15*2π)/513 weeks
16-.0021 .00191 (16*2π)/513 weeks
17.00329   (17*2π)/513 weeks
18-.00262 -.00238 (18*2π)/513 weeks
19.00033 .00356 (19*2π)/513 weeks
20.00206 -.00272 (20*2π)/513 weeks
21-.00301 .00056 (21*2π)/512 weeks
22.00218 .00135 (22*2π)/512 weeks
23-.00053 -.00185 (23*2π)/512 weeks
24-.00053 .00107 (24*2π)/512 weeks
25.00038 -.00015 (25*2π)/512 weeks
26.00038 .00015 (26*2π)/512 weeks
27-.00053 -.00107 (27*2π)/512 weeks
28-.00053 .00185 (28*2π)/512 weeks
29.00218 -.00135 (29*2π)/512 weeks
30-.00301 -.00056 (30*2π)/512 weeks
31.00206 .00272 (31*2π)/512 weeks
32.00033 -.00356 (32*2π)/512 weeks
33-.00262 .00238 (33*2π)/512 weeks
34.00329   (34*2π)/512 weeks
35-.0021 -.00191 (35*2π)/511 weeks
36.0002 .00216 (36*2π)/511 weeks
37.00079 -.00105 (37*2π)/511 weeks
38-.00028 .00005 (38*2π)/511 weeks
39-.00076 -.00047 (39*2π)/511 weeks
40.0006 .00211 (40*2π)/511 weeks
41.00159 -.0032 (41*2π)/511 weeks
42-.00466 .0018 (42*2π)/511 weeks
43.00598 .00232 (43*2π)/511 weeks
44-.00347 -.00697 (44*2π)/511 weeks
45-.00248 .00873 (45*2π)/511 weeks
46.00871 -.0054 (46*2π)/511 weeks
47-.01107 -.00207 (47*2π)/511 weeks
48.00728 .00964 (48*2π)/511 weeks
49.00117 -.01263 (49*2π)/511 weeks