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# Fourier Analysis of NCT (Newcastle Investment Corp)

NCT (Newcastle Investment Corp) appears to have interesting cyclic behaviour every 5 weeks (.0519*sine), 5 weeks (.0427*sine), and 3 weeks (.0393*cosine).

NCT (Newcastle Investment Corp) has an average price of 4.13 (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 1/4/2016 to 1/3/2017 for NCT (Newcastle Investment Corp), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
04.12604   0
1-.39871 -.3496 (1*2π)/5353 weeks
2-.09046 -.26583 (2*2π)/5327 weeks
3-.04521 -.18915 (3*2π)/5318 weeks
4-.00303 -.06974 (4*2π)/5313 weeks
5.05018 -.03877 (5*2π)/5311 weeks
6.01832 .00703 (6*2π)/539 weeks
7.00157 -.02242 (7*2π)/538 weeks
8-.06726 -.01742 (8*2π)/537 weeks
9-.02124 -.08895 (9*2π)/536 weeks
10-.02103 -.04267 (10*2π)/535 weeks
11-.01034 -.05194 (11*2π)/535 weeks
12-.01166 -.02763 (12*2π)/534 weeks
13-.01238 -.00757 (13*2π)/534 weeks
14-.0192 -.04038 (14*2π)/534 weeks
15-.00927 -.0329 (15*2π)/534 weeks
16.00139 -.00285 (16*2π)/533 weeks
17.03927 -.01822 (17*2π)/533 weeks
18.0168 -.00558 (18*2π)/533 weeks
19-.00045 .00462 (19*2π)/533 weeks
20-.01796 -.02473 (20*2π)/533 weeks
21.00093 -.01522 (21*2π)/533 weeks
22.00273 -.02793 (22*2π)/532 weeks
23.00864 -.01817 (23*2π)/532 weeks
24-.00434 -.01217 (24*2π)/532 weeks
25.00672 -.01957 (25*2π)/532 weeks
26-.01275 .01079 (26*2π)/532 weeks
27-.01275 -.01079 (27*2π)/532 weeks
28.00672 .01957 (28*2π)/532 weeks
29-.00434 .01217 (29*2π)/532 weeks
30.00864 .01817 (30*2π)/532 weeks
31.00273 .02793 (31*2π)/532 weeks
32.00093 .01522 (32*2π)/532 weeks
33-.01796 .02473 (33*2π)/532 weeks
34-.00045 -.00462 (34*2π)/532 weeks
35.0168 .00558 (35*2π)/532 weeks
36.03927 .01822 (36*2π)/531 weeks
37.00139 .00285 (37*2π)/531 weeks
38-.00927 .0329 (38*2π)/531 weeks
39-.0192 .04038 (39*2π)/531 weeks
40-.01238 .00757 (40*2π)/531 weeks
41-.01166 .02763 (41*2π)/531 weeks
42-.01034 .05194 (42*2π)/531 weeks
43-.02103 .04267 (43*2π)/531 weeks
44-.02124 .08895 (44*2π)/531 weeks
45-.06726 .01742 (45*2π)/531 weeks
46.00157 .02242 (46*2π)/531 weeks
47.01832 -.00703 (47*2π)/531 weeks
48.05018 .03877 (48*2π)/531 weeks
49-.00303 .06974 (49*2π)/531 weeks
50-.04521 .18915 (50*2π)/531 weeks
51-.09046 .26583 (51*2π)/531 weeks