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Fourier Analysis of TRU (TransUnion Common Stock)


TRU (TransUnion Common Stock) appears to have interesting cyclic behaviour every 7 weeks (.4688*sine), 4 weeks (.428*cosine), and 2 weeks (.2906*cosine).

TRU (TransUnion Common Stock) has an average price of 29.48 (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 6/25/2015 to 3/20/2017 for TRU (TransUnion Common Stock), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
029.47685   0 
1-.25983 -4.45008 (1*2π)/9292 weeks
21.00893 .03066 (2*2π)/9246 weeks
3.48006 -2.05945 (3*2π)/9231 weeks
4.62032 -.95908 (4*2π)/9223 weeks
5-.38315 -.924 (5*2π)/9218 weeks
6-.49139 -.87218 (6*2π)/9215 weeks
7.16962 -.8785 (7*2π)/9213 weeks
8-.16233 -.67325 (8*2π)/9212 weeks
9-.66453 -.72016 (9*2π)/9210 weeks
10.16526 -.40819 (10*2π)/929 weeks
11-.35582 -.32472 (11*2π)/928 weeks
12-.24741 -.34021 (12*2π)/928 weeks
13-.14187 -.46883 (13*2π)/927 weeks
14-.1181 .03424 (14*2π)/927 weeks
15.11586 -.21963 (15*2π)/926 weeks
16-.16911 -.13755 (16*2π)/926 weeks
17-.1842 -.14656 (17*2π)/925 weeks
18.02531 -.38007 (18*2π)/925 weeks
19-.16065 -.02186 (19*2π)/925 weeks
20-.25762 -.35664 (20*2π)/925 weeks
21-.04954 -.10163 (21*2π)/924 weeks
22-.42797 -.07881 (22*2π)/924 weeks
23-.27413 -.22478 (23*2π)/924 weeks
24.00544 -.02039 (24*2π)/924 weeks
25-.01952 -.09777 (25*2π)/924 weeks
26-.17388 -.27032 (26*2π)/924 weeks
27-.11386 .00947 (27*2π)/923 weeks
28-.14382 -.07639 (28*2π)/923 weeks
29-.00413 -.10907 (29*2π)/923 weeks
30-.03765 .0765 (30*2π)/923 weeks
31-.06105 -.18142 (31*2π)/923 weeks
32-.16976 -.12663 (32*2π)/923 weeks
33-.25814 .03965 (33*2π)/923 weeks
34-.22653 -.15134 (34*2π)/923 weeks
35-.00659 -.02017 (35*2π)/923 weeks
36-.10767 -.0926 (36*2π)/923 weeks
37-.29065 -.10138 (37*2π)/922 weeks
38-.26235 .07584 (38*2π)/922 weeks
39-.22272 -.06097 (39*2π)/922 weeks
40-.07684 -.0136 (40*2π)/922 weeks
41-.05444 -.03803 (41*2π)/922 weeks
42-.20293 .05142 (42*2π)/922 weeks
43-.15637 .04779 (43*2π)/922 weeks
44-.04055 .14244 (44*2π)/922 weeks
45-.23436 .04861 (45*2π)/922 weeks
46-.01239   (46*2π)/922 weeks
47-.23436 -.04861 (47*2π)/922 weeks
48-.04055 -.14244 (48*2π)/922 weeks
49-.15637 -.04779 (49*2π)/922 weeks
50-.20293 -.05142 (50*2π)/922 weeks
51-.05444 .03803 (51*2π)/922 weeks
52-.07684 .0136 (52*2π)/922 weeks
53-.22272 .06097 (53*2π)/922 weeks
54-.26235 -.07584 (54*2π)/922 weeks
55-.29065 .10138 (55*2π)/922 weeks
56-.10767 .0926 (56*2π)/922 weeks
57-.00659 .02017 (57*2π)/922 weeks
58-.22653 .15134 (58*2π)/922 weeks
59-.25814 -.03965 (59*2π)/922 weeks
60-.16976 .12663 (60*2π)/922 weeks
61-.06105 .18142 (61*2π)/922 weeks
62-.03765 -.0765 (62*2π)/921 weeks
63-.00413 .10907 (63*2π)/921 weeks
64-.14382 .07639 (64*2π)/921 weeks
65-.11386 -.00947 (65*2π)/921 weeks
66-.17388 .27032 (66*2π)/921 weeks
67-.01952 .09777 (67*2π)/921 weeks
68.00544 .02039 (68*2π)/921 weeks
69-.27413 .22478 (69*2π)/921 weeks
70-.42797 .07881 (70*2π)/921 weeks
71-.04954 .10163 (71*2π)/921 weeks
72-.25762 .35664 (72*2π)/921 weeks
73-.16065 .02186 (73*2π)/921 weeks
74.02531 .38007 (74*2π)/921 weeks
75-.1842 .14656 (75*2π)/921 weeks
76-.16911 .13755 (76*2π)/921 weeks
77.11586 .21963 (77*2π)/921 weeks
78-.1181 -.03424 (78*2π)/921 weeks
79-.14187 .46883 (79*2π)/921 weeks
80-.24741 .34021 (80*2π)/921 weeks
81-.35582 .32472 (81*2π)/921 weeks
82.16526 .40819 (82*2π)/921 weeks
83-.66453 .72016 (83*2π)/921 weeks
84-.16233 .67325 (84*2π)/921 weeks
85.16962 .8785 (85*2π)/921 weeks
86-.49139 .87218 (86*2π)/921 weeks
87-.38315 .924 (87*2π)/921 weeks
88.62032 .95908 (88*2π)/921 weeks
89.48006 2.05945 (89*2π)/921 weeks
901.00893 -.03066 (90*2π)/921 weeks

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