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# Fourier Analysis of BKC (BURGER KING HOLDINGS)

BKC (BURGER KING HOLDINGS) appears to have interesting cyclic behaviour every 9 weeks (366.945*sine), 4 weeks (315.1187*sine), and 11 weeks (261.5251*cosine).

BKC (BURGER KING HOLDINGS) has an average price of 11,141.32 (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 12/4/2014 to 3/20/2017 for BKC (BURGER KING HOLDINGS), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
011,141.32   0
1-1,561.574 2,818.809 (1*2π)/121121 weeks
2-746.0952 1,530.922 (2*2π)/12161 weeks
3-71.06247 155.0057 (3*2π)/12140 weeks
4-352.0891 196.5414 (4*2π)/12130 weeks
5-338.5598 -263.5433 (5*2π)/12124 weeks
6-67.08016 86.09529 (6*2π)/12120 weeks
7401.6441 290.9713 (7*2π)/12117 weeks
888.81489 25.45748 (8*2π)/12115 weeks
9-93.33207 249.6871 (9*2π)/12113 weeks
108.14528 90.68221 (10*2π)/12112 weeks
11261.5251 83.15221 (11*2π)/12111 weeks
123.36272 74.54609 (12*2π)/12110 weeks
13218.6284 66.01256 (13*2π)/1219 weeks
1487.89291 366.945 (14*2π)/1219 weeks
15-14.92625 169.4791 (15*2π)/1218 weeks
16107.5543 188.4695 (16*2π)/1218 weeks
176.11568 -118.7744 (17*2π)/1217 weeks
18-20.99695 -64.2324 (18*2π)/1217 weeks
1942.06795 147.6383 (19*2π)/1216 weeks
2081.4369 148.1229 (20*2π)/1216 weeks
21165.4967 25.40213 (21*2π)/1216 weeks
22-58.57459 -23.99681 (22*2π)/1216 weeks
23-68.76635 -24.74818 (23*2π)/1215 weeks
24173.5986 -78.98016 (24*2π)/1215 weeks
25232.6032 87.09763 (25*2π)/1215 weeks
26114.4396 31.30215 (26*2π)/1215 weeks
2766.85973 115.0554 (27*2π)/1214 weeks
287.98155 315.1187 (28*2π)/1214 weeks
29-7.86734 140.0698 (29*2π)/1214 weeks
30-1.29626 -47.38045 (30*2π)/1214 weeks
31-100.8532 -41.95598 (31*2π)/1214 weeks
32196.5343 63.0519 (32*2π)/1214 weeks
3334.26592 93.74335 (33*2π)/1214 weeks
34-12.25423 -2.23411 (34*2π)/1214 weeks
35-14.19119 94.09465 (35*2π)/1213 weeks
3610.97086 5.81766 (36*2π)/1213 weeks
37151.5968 -53.69229 (37*2π)/1213 weeks
3829.87402 -55.83003 (38*2π)/1213 weeks
3976.70698 20.03051 (39*2π)/1213 weeks
4071.65141 27.39891 (40*2π)/1213 weeks
4142.31354 -74.80069 (41*2π)/1213 weeks
4254.90633 39.89341 (42*2π)/1213 weeks
43-5.51721 60.9437 (43*2π)/1213 weeks
44127.9073 -109.5908 (44*2π)/1213 weeks
4575.74456 -39.72402 (45*2π)/1213 weeks
4659.75099 4.70492 (46*2π)/1213 weeks
4744.40669 95.66187 (47*2π)/1213 weeks
48-23.65569 -19.10253 (48*2π)/1213 weeks
4915.0125 -16.84515 (49*2π)/1212 weeks
5077.80354 14.70868 (50*2π)/1212 weeks
5197.54963 -81.60045 (51*2π)/1212 weeks
5254.32288 40.19685 (52*2π)/1212 weeks
5382.59883 130.2078 (53*2π)/1212 weeks
5489.95005 64.29292 (54*2π)/1212 weeks
55-6.44608 -52.92741 (55*2π)/1212 weeks
56-35.9374 69.65268 (56*2π)/1212 weeks
5785.27774 43.09649 (57*2π)/1212 weeks
58145.0245 52.27682 (58*2π)/1212 weeks
5954.77177 60.35392 (59*2π)/1212 weeks
60-87.35579 -12.9095 (60*2π)/1212 weeks
61-87.35579 12.9095 (61*2π)/1212 weeks
6254.77177 -60.35392 (62*2π)/1212 weeks
63145.0245 -52.27682 (63*2π)/1212 weeks
6485.27774 -43.09649 (64*2π)/1212 weeks
65-35.9374 -69.65268 (65*2π)/1212 weeks
66-6.44608 52.92741 (66*2π)/1212 weeks
6789.95005 -64.29292 (67*2π)/1212 weeks
6882.59883 -130.2078 (68*2π)/1212 weeks
6954.32288 -40.19685 (69*2π)/1212 weeks
7097.54963 81.60045 (70*2π)/1212 weeks
7177.80354 -14.70868 (71*2π)/1212 weeks
7215.0125 16.84515 (72*2π)/1212 weeks
73-23.65569 19.10253 (73*2π)/1212 weeks
7444.40669 -95.66187 (74*2π)/1212 weeks
7559.75099 -4.70492 (75*2π)/1212 weeks
7675.74456 39.72402 (76*2π)/1212 weeks
77127.9073 109.5908 (77*2π)/1212 weeks
78-5.51721 -60.9437 (78*2π)/1212 weeks
7954.90633 -39.89341 (79*2π)/1212 weeks
8042.31354 74.80069 (80*2π)/1212 weeks
8171.65141 -27.39891 (81*2π)/1211 weeks
8276.70698 -20.03051 (82*2π)/1211 weeks
8329.87402 55.83003 (83*2π)/1211 weeks
84151.5968 53.69229 (84*2π)/1211 weeks
8510.97086 -5.81766 (85*2π)/1211 weeks
86-14.19119 -94.09465 (86*2π)/1211 weeks
87-12.25423 2.23411 (87*2π)/1211 weeks
8834.26592 -93.74335 (88*2π)/1211 weeks
89196.5343 -63.0519 (89*2π)/1211 weeks
90-100.8532 41.95598 (90*2π)/1211 weeks
91-1.29626 47.38045 (91*2π)/1211 weeks
92-7.86734 -140.0698 (92*2π)/1211 weeks
937.98155 -315.1187 (93*2π)/1211 weeks
9466.85973 -115.0554 (94*2π)/1211 weeks
95114.4396 -31.30215 (95*2π)/1211 weeks
96232.6032 -87.09763 (96*2π)/1211 weeks
97173.5986 78.98016 (97*2π)/1211 weeks
98-68.76635 24.74818 (98*2π)/1211 weeks
99-58.57459 23.99681 (99*2π)/1211 weeks
100165.4967 -25.40213 (100*2π)/1211 weeks
10181.4369 -148.1229 (101*2π)/1211 weeks
10242.06795 -147.6383 (102*2π)/1211 weeks
103-20.99695 64.2324 (103*2π)/1211 weeks
1046.11568 118.7744 (104*2π)/1211 weeks
105107.5543 -188.4695 (105*2π)/1211 weeks
106-14.92625 -169.4791 (106*2π)/1211 weeks
10787.89291 -366.945 (107*2π)/1211 weeks
108218.6284 -66.01256 (108*2π)/1211 weeks
1093.36272 -74.54609 (109*2π)/1211 weeks
110261.5251 -83.15221 (110*2π)/1211 weeks
1118.14528 -90.68221 (111*2π)/1211 weeks
112-93.33207 -249.6871 (112*2π)/1211 weeks
11388.81489 -25.45748 (113*2π)/1211 weeks
114401.6441 -290.9713 (114*2π)/1211 weeks
115-67.08016 -86.09529 (115*2π)/1211 weeks
116-338.5598 263.5433 (116*2π)/1211 weeks
117-352.0891 -196.5414 (117*2π)/1211 weeks
118-71.06247 -155.0057 (118*2π)/1211 weeks
119-746.0952 -1,530.922 (119*2π)/1211 weeks

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