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Fourier Analysis of HOME (Home Federal Bancorp, Inc.)

HOME (Home Federal Bancorp, Inc.) appears to have interesting cyclic behaviour every 2 weeks (.2031*cosine), 2 weeks (.2031*cosine), and 2 weeks (.1533*cosine).

HOME (Home Federal Bancorp, Inc.) has an average price of 13.63 (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 8/4/2016 to 1/9/2017 for HOME (Home Federal Bancorp, Inc.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
013.62917   0 
11.63969 .49795 (1*2π)/2424 weeks
2-.4052 -.37718 (2*2π)/2412 weeks
3.29305 .65621 (3*2π)/248 weeks
4-.32333 .39115 (4*2π)/246 weeks
5-.15165 -.19153 (5*2π)/245 weeks
6.34083 -.39417 (6*2π)/244 weeks
7.31911 .16507 (7*2π)/243 weeks
8.15333 .1198 (8*2π)/243 weeks
9.00195 .06621 (9*2π)/243 weeks
10-.20313 -.11449 (10*2π)/242 weeks
11-.07215 -.08365 (11*2π)/242 weeks
12.17667   (12*2π)/242 weeks
13-.07215 .08365 (13*2π)/242 weeks
14-.20313 .11449 (14*2π)/242 weeks
15.00195 -.06621 (15*2π)/242 weeks
16.15333 -.1198 (16*2π)/242 weeks
17.31911 -.16507 (17*2π)/241 weeks
18.34083 .39417 (18*2π)/241 weeks
19-.15165 .19153 (19*2π)/241 weeks
20-.32333 -.39115 (20*2π)/241 weeks
21.29305 -.65621 (21*2π)/241 weeks
22-.4052 .37718 (22*2π)/241 weeks

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