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Fourier Analysis of FSCSX (Software and IT Services Portfo)


FSCSX (Software and IT Services Portfo) appears to have interesting cyclic behaviour every 5 weeks (2.8134*cosine), 4 weeks (2.7086*sine), and 6 weeks (2.6466*cosine).

FSCSX (Software and IT Services Portfo) has an average price of 116.15 (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 12/1/1998 to 1/9/2017 for FSCSX (Software and IT Services Portfo), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0116.1539   0 
1-8.63741 -13.01198 (1*2π)/6060 weeks
2-7.05963 -6.43798 (2*2π)/6030 weeks
3-3.63974 -5.7169 (3*2π)/6020 weeks
4-4.72303 -4.91042 (4*2π)/6015 weeks
5-3.51095 -4.84856 (5*2π)/6012 weeks
6-3.537 -5.69896 (6*2π)/6010 weeks
7-1.55422 -3.65351 (7*2π)/609 weeks
8-1.96867 -3.43158 (8*2π)/608 weeks
9-1.36036 -2.05396 (9*2π)/607 weeks
10-2.64659 -1.91311 (10*2π)/606 weeks
11-2.62278 -2.3357 (11*2π)/605 weeks
12-2.81343 -2.57307 (12*2π)/605 weeks
13-2.28677 -2.64585 (13*2π)/605 weeks
14-1.895 -2.40763 (14*2π)/604 weeks
15-1.71449 -2.70858 (15*2π)/604 weeks
16-2.20094 -2.56669 (16*2π)/604 weeks
17-1.95605 -2.1366 (17*2π)/604 weeks
18-1.39982 -1.65837 (18*2π)/603 weeks
19-1.04833 -1.26408 (19*2π)/603 weeks
20-.84257 -.70253 (20*2π)/603 weeks
21-1.14524 -.28623 (21*2π)/603 weeks
22-2.15715 -.4039 (22*2π)/603 weeks
23-2.02909 -.5333 (23*2π)/603 weeks
24-2.29541 -1.00372 (24*2π)/603 weeks
25-2.09252 -1.46049 (25*2π)/602 weeks
26-1.62956 -1.46517 (26*2π)/602 weeks
27-.90957 -1.04962 (27*2π)/602 weeks
28-.62745 -.75445 (28*2π)/602 weeks
29-.02044 -.59619 (29*2π)/602 weeks
30.41337   (30*2π)/602 weeks
31-.02044 .59619 (31*2π)/602 weeks
32-.62745 .75445 (32*2π)/602 weeks
33-.90957 1.04962 (33*2π)/602 weeks
34-1.62956 1.46517 (34*2π)/602 weeks
35-2.09252 1.46049 (35*2π)/602 weeks
36-2.29541 1.00372 (36*2π)/602 weeks
37-2.02909 .5333 (37*2π)/602 weeks
38-2.15715 .4039 (38*2π)/602 weeks
39-1.14524 .28623 (39*2π)/602 weeks
40-.84257 .70253 (40*2π)/602 weeks
41-1.04833 1.26408 (41*2π)/601 weeks
42-1.39982 1.65837 (42*2π)/601 weeks
43-1.95605 2.1366 (43*2π)/601 weeks
44-2.20094 2.56669 (44*2π)/601 weeks
45-1.71449 2.70858 (45*2π)/601 weeks
46-1.895 2.40763 (46*2π)/601 weeks
47-2.28677 2.64585 (47*2π)/601 weeks
48-2.81343 2.57307 (48*2π)/601 weeks
49-2.62278 2.3357 (49*2π)/601 weeks
50-2.64659 1.91311 (50*2π)/601 weeks
51-1.36036 2.05396 (51*2π)/601 weeks
52-1.96867 3.43158 (52*2π)/601 weeks
53-1.55422 3.65351 (53*2π)/601 weeks
54-3.537 5.69896 (54*2π)/601 weeks
55-3.51095 4.84856 (55*2π)/601 weeks
56-4.72303 4.91042 (56*2π)/601 weeks
57-3.63974 5.7169 (57*2π)/601 weeks
58-7.05963 6.43798 (58*2π)/601 weeks

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