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Fourier Analysis of HTZ (Hertz Global Holdings, Inc Comm)


HTZ (Hertz Global Holdings, Inc Comm) appears to have interesting cyclic behaviour every 3 weeks (.9261*cosine), 3 weeks (.7341*sine), and 3 weeks (.7298*cosine).

HTZ (Hertz Global Holdings, Inc Comm) has an average price of 33.52 (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 7/1/2016 to 3/13/2017 for HTZ (Hertz Global Holdings, Inc Comm), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
033.52263   0 
13.83179 15.02169 (1*2π)/3838 weeks
2-1.23653 4.20445 (2*2π)/3819 weeks
3.81435 2.03765 (3*2π)/3813 weeks
41.6167 2.29343 (4*2π)/3810 weeks
5-.13224 2.34199 (5*2π)/388 weeks
6-.02381 .79551 (6*2π)/386 weeks
7.20594 1.64507 (7*2π)/385 weeks
8-.51222 .30492 (8*2π)/385 weeks
9.26801 .63708 (9*2π)/384 weeks
10.69053 .39919 (10*2π)/384 weeks
11.92614 .73407 (11*2π)/383 weeks
12.35147 .3191 (12*2π)/383 weeks
13.72981 .49994 (13*2π)/383 weeks
14.59301 .15945 (14*2π)/383 weeks
15.65931 .05646 (15*2π)/383 weeks
16.60993 -.0009 (16*2π)/382 weeks
17.51083 .31848 (17*2π)/382 weeks
18.32329 -.07489 (18*2π)/382 weeks
19.24211   (19*2π)/382 weeks
20.32329 .07489 (20*2π)/382 weeks
21.51083 -.31848 (21*2π)/382 weeks
22.60993 .0009 (22*2π)/382 weeks
23.65931 -.05646 (23*2π)/382 weeks
24.59301 -.15945 (24*2π)/382 weeks
25.72981 -.49994 (25*2π)/382 weeks
26.35147 -.3191 (26*2π)/381 weeks
27.92614 -.73407 (27*2π)/381 weeks
28.69053 -.39919 (28*2π)/381 weeks
29.26801 -.63708 (29*2π)/381 weeks
30-.51222 -.30492 (30*2π)/381 weeks
31.20594 -1.64507 (31*2π)/381 weeks
32-.02381 -.79551 (32*2π)/381 weeks
33-.13224 -2.34199 (33*2π)/381 weeks
341.6167 -2.29343 (34*2π)/381 weeks
35.81435 -2.03765 (35*2π)/381 weeks
36-1.23653 -4.20445 (36*2π)/381 weeks

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