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# Fourier Analysis of IM (Ingram Micro Inc)

IM (Ingram Micro Inc) appears to have interesting cyclic behaviour every 7 weeks (175.2078*sine), 6 weeks (152.174*sine), and 5 weeks (109.5771*cosine).

IM (Ingram Micro Inc) has an average price of 153.02 (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 4/9/2018 for IM (Ingram Micro Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0153.016   0
1237.0473 -36.17329 (1*2π)/6767 weeks
2233.6171 -80.20802 (2*2π)/6734 weeks
3213.3944 -129.1138 (3*2π)/6722 weeks
4176.55 -166.0557 (4*2π)/6717 weeks
5138.0941 -187.6725 (5*2π)/6713 weeks
6100.6868 -202.3986 (6*2π)/6711 weeks
759.13475 -211.4726 (7*2π)/6710 weeks
815.90423 -208.6771 (8*2π)/678 weeks
9-21.99294 -194.5915 (9*2π)/677 weeks
10-52.48562 -175.2078 (10*2π)/677 weeks
11-78.50417 -152.174 (11*2π)/676 weeks
12-98.21261 -124.1222 (12*2π)/676 weeks
13-108.4245 -92.59135 (13*2π)/675 weeks
14-109.5771 -63.74361 (14*2π)/675 weeks
15-105.4947 -38.701 (15*2π)/674 weeks
16-96.43119 -15.59681 (16*2π)/674 weeks
17-81.13431 2.72166 (17*2π)/674 weeks
18-63.04509 13.66794 (18*2π)/674 weeks
19-45.66277 18.00861 (19*2π)/674 weeks
20-29.54297 18.21686 (20*2π)/673 weeks
21-14.57858 13.65791 (21*2π)/673 weeks
22-3.27621 3.74013 (22*2π)/673 weeks
232.17257 -8.6514 (23*2π)/673 weeks
242.7087 -20.4741 (24*2π)/673 weeks
25-.14281 -31.89186 (25*2π)/673 weeks
26-7.57475 -42.72075 (26*2π)/673 weeks
27-19.35222 -50.08914 (27*2π)/672 weeks
28-32.7919 -52.13304 (28*2π)/672 weeks
29-45.88986 -50.39526 (29*2π)/672 weeks
30-58.69386 -45.42691 (30*2π)/672 weeks
31-70.71098 -35.89215 (31*2π)/672 weeks
32-78.8808 -22.2854 (32*2π)/672 weeks
33-82.20597 -7.28874 (33*2π)/672 weeks
34-82.20597 7.28874 (34*2π)/672 weeks
35-78.8808 22.2854 (35*2π)/672 weeks
36-70.71098 35.89215 (36*2π)/672 weeks
37-58.69386 45.42691 (37*2π)/672 weeks
38-45.88986 50.39526 (38*2π)/672 weeks
39-32.7919 52.13304 (39*2π)/672 weeks
40-19.35222 50.08914 (40*2π)/672 weeks
41-7.57475 42.72075 (41*2π)/672 weeks
42-.14281 31.89186 (42*2π)/672 weeks
432.7087 20.4741 (43*2π)/672 weeks
442.17257 8.6514 (44*2π)/672 weeks
45-3.27621 -3.74013 (45*2π)/671 weeks
46-14.57858 -13.65791 (46*2π)/671 weeks
47-29.54297 -18.21686 (47*2π)/671 weeks
48-45.66277 -18.00861 (48*2π)/671 weeks
49-63.04509 -13.66794 (49*2π)/671 weeks
50-81.13431 -2.72166 (50*2π)/671 weeks
51-96.43119 15.59681 (51*2π)/671 weeks
52-105.4947 38.701 (52*2π)/671 weeks
53-109.5771 63.74361 (53*2π)/671 weeks
54-108.4245 92.59135 (54*2π)/671 weeks
55-98.21261 124.1222 (55*2π)/671 weeks
56-78.50417 152.174 (56*2π)/671 weeks
57-52.48562 175.2078 (57*2π)/671 weeks
58-21.99294 194.5915 (58*2π)/671 weeks
5915.90423 208.6771 (59*2π)/671 weeks
6059.13475 211.4726 (60*2π)/671 weeks
61100.6868 202.3986 (61*2π)/671 weeks
62138.0941 187.6725 (62*2π)/671 weeks
63176.55 166.0557 (63*2π)/671 weeks
64213.3944 129.1138 (64*2π)/671 weeks
65233.6171 80.20802 (65*2π)/671 weeks