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# Fourier Analysis of JEUTX (John Hancock Var Ins Tr Utilities Trust)

JEUTX (John Hancock Var Ins Tr Utilities Trust) appears to have interesting cyclic behaviour every 7 weeks (.0807*sine), 3 weeks (.0546*cosine), and 2 weeks (.0546*cosine).

JEUTX (John Hancock Var Ins Tr Utilities Trust) has an average price of 13.87 (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 2/1/2017 to 4/23/2018 for JEUTX (John Hancock Var Ins Tr Utilities Trust), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
013.87196   0
1-.38378 -.16412 (1*2π)/6565 weeks
2-.05103 -.10233 (2*2π)/6533 weeks
3.04533 -.00961 (3*2π)/6522 weeks
4.03346 -.08872 (4*2π)/6516 weeks
5.02811 -.05896 (5*2π)/6513 weeks
6-.08269 -.08567 (6*2π)/6511 weeks
7-.02303 -.0677 (7*2π)/659 weeks
8.03997 .01033 (8*2π)/658 weeks
9-.00724 -.02662 (9*2π)/657 weeks
10-.03219 -.08068 (10*2π)/657 weeks
11-.05033 -.01671 (11*2π)/656 weeks
12-.04572 -.03163 (12*2π)/655 weeks
13-.00002 -.02411 (13*2π)/655 weeks
14-.01284 -.03499 (14*2π)/655 weeks
15-.02583 -.04812 (15*2π)/654 weeks
16-.02437 -.03638 (16*2π)/654 weeks
17-.01571 .02899 (17*2π)/654 weeks
18.00926 -.00085 (18*2π)/654 weeks
19.01736 -.04233 (19*2π)/653 weeks
20-.00733 -.054 (20*2π)/653 weeks
21-.05146 -.02618 (21*2π)/653 weeks
22-.05463 .01561 (22*2π)/653 weeks
23-.0098 .03679 (23*2π)/653 weeks
24-.01216 .00689 (24*2π)/653 weeks
25.00873 -.00467 (25*2π)/653 weeks
26-.00874 -.00243 (26*2π)/653 weeks
27-.02539 -.01897 (27*2π)/652 weeks
28-.00342 .00004 (28*2π)/652 weeks
29-.01768 -.00381 (29*2π)/652 weeks
30-.01482 -.03365 (30*2π)/652 weeks
31-.02711 -.00034 (31*2π)/652 weeks
32-.01864 -.00932 (32*2π)/652 weeks
33-.01864 .00932 (33*2π)/652 weeks
34-.02711 .00034 (34*2π)/652 weeks
35-.01482 .03365 (35*2π)/652 weeks
36-.01768 .00381 (36*2π)/652 weeks
37-.00342 -.00004 (37*2π)/652 weeks
38-.02539 .01897 (38*2π)/652 weeks
39-.00874 .00243 (39*2π)/652 weeks
40.00873 .00467 (40*2π)/652 weeks
41-.01216 -.00689 (41*2π)/652 weeks
42-.0098 -.03679 (42*2π)/652 weeks
43-.05463 -.01561 (43*2π)/652 weeks
44-.05146 .02618 (44*2π)/651 weeks
45-.00733 .054 (45*2π)/651 weeks
46.01736 .04233 (46*2π)/651 weeks
47.00926 .00085 (47*2π)/651 weeks
48-.01571 -.02899 (48*2π)/651 weeks
49-.02437 .03638 (49*2π)/651 weeks
50-.02583 .04812 (50*2π)/651 weeks
51-.01284 .03499 (51*2π)/651 weeks
52-.00002 .02411 (52*2π)/651 weeks
53-.04572 .03163 (53*2π)/651 weeks
54-.05033 .01671 (54*2π)/651 weeks
55-.03219 .08068 (55*2π)/651 weeks
56-.00724 .02662 (56*2π)/651 weeks
57.03997 -.01033 (57*2π)/651 weeks
58-.02303 .0677 (58*2π)/651 weeks
59-.08269 .08567 (59*2π)/651 weeks
60.02811 .05896 (60*2π)/651 weeks
61.03346 .08872 (61*2π)/651 weeks
62.04533 .00961 (62*2π)/651 weeks
63-.05103 .10233 (63*2π)/651 weeks