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Fourier Analysis of BASFY (BASF SE (ADR))


BASFY (BASF SE (ADR)) appears to have interesting cyclic behaviour every 9 weeks (4.3277*sine), 8 weeks (3.5187*sine), and 5 weeks (2.1079*cosine).

BASFY (BASF SE (ADR)) has an average price of 82.44 (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 1/4/2016 to 11/6/2017 for BASFY (BASF SE (ADR)), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
082.43874   0 
1-8.47083 -11.95698 (1*2π)/9393 weeks
2-5.38776 -2.78664 (2*2π)/9347 weeks
3-6.38198 -1.94147 (3*2π)/9331 weeks
4-5.32404 -.64105 (4*2π)/9323 weeks
5-4.8276 .75327 (5*2π)/9319 weeks
6-3.55255 2.75617 (6*2π)/9316 weeks
7-2.5462 3.6795 (7*2π)/9313 weeks
8-1.65457 4.38998 (8*2π)/9312 weeks
9-.30705 3.57248 (9*2π)/9310 weeks
10.26911 4.32771 (10*2π)/939 weeks
111.33712 3.51866 (11*2π)/938 weeks
121.85254 2.82971 (12*2π)/938 weeks
131.91439 2.67871 (13*2π)/937 weeks
142.09268 1.31523 (14*2π)/937 weeks
151.84223 1.34723 (15*2π)/936 weeks
161.6583 .32023 (16*2π)/936 weeks
172.10786 -.48227 (17*2π)/935 weeks
181.64974 -.6839 (18*2π)/935 weeks
19.88827 -.23836 (19*2π)/935 weeks
20.99334 -.50826 (20*2π)/935 weeks
21.08392 -.65344 (21*2π)/934 weeks
22-.36798 -.67826 (22*2π)/934 weeks
23-.4753 -.48786 (23*2π)/934 weeks
24-.59541 -.41161 (24*2π)/934 weeks
25-.36717 .41583 (25*2π)/934 weeks
26-.83624 .49856 (26*2π)/934 weeks
27-.66528 .44915 (27*2π)/933 weeks
28-.49309 1.11746 (28*2π)/933 weeks
29-.34464 1.12383 (29*2π)/933 weeks
30.14564 1.25758 (30*2π)/933 weeks
31.68211 1.20262 (31*2π)/933 weeks
32.69916 1.19283 (32*2π)/933 weeks
33.90424 .80798 (33*2π)/933 weeks
34.94619 .91177 (34*2π)/933 weeks
351.12893 .75202 (35*2π)/933 weeks
361.46708 .29194 (36*2π)/933 weeks
371.11415 -.12247 (37*2π)/933 weeks
381.33804 -.4689 (38*2π)/932 weeks
391.05957 -.62267 (39*2π)/932 weeks
40.77419 -.50844 (40*2π)/932 weeks
41.10764 -.84246 (41*2π)/932 weeks
42.21426 -.71869 (42*2π)/932 weeks
43.18132 -.79803 (43*2π)/932 weeks
44-.32272 -.54681 (44*2π)/932 weeks
45-.54091 -.35313 (45*2π)/932 weeks
46-.11073 -.29344 (46*2π)/932 weeks
47-.11073 .29344 (47*2π)/932 weeks
48-.54091 .35313 (48*2π)/932 weeks
49-.32272 .54681 (49*2π)/932 weeks
50.18132 .79803 (50*2π)/932 weeks
51.21426 .71869 (51*2π)/932 weeks
52.10764 .84246 (52*2π)/932 weeks
53.77419 .50844 (53*2π)/932 weeks
541.05957 .62267 (54*2π)/932 weeks
551.33804 .4689 (55*2π)/932 weeks
561.11415 .12247 (56*2π)/932 weeks
571.46708 -.29194 (57*2π)/932 weeks
581.12893 -.75202 (58*2π)/932 weeks
59.94619 -.91177 (59*2π)/932 weeks
60.90424 -.80798 (60*2π)/932 weeks
61.69916 -1.19283 (61*2π)/932 weeks
62.68211 -1.20262 (62*2π)/932 weeks
63.14564 -1.25758 (63*2π)/931 weeks
64-.34464 -1.12383 (64*2π)/931 weeks
65-.49309 -1.11746 (65*2π)/931 weeks
66-.66528 -.44915 (66*2π)/931 weeks
67-.83624 -.49856 (67*2π)/931 weeks
68-.36717 -.41583 (68*2π)/931 weeks
69-.59541 .41161 (69*2π)/931 weeks
70-.4753 .48786 (70*2π)/931 weeks
71-.36798 .67826 (71*2π)/931 weeks
72.08392 .65344 (72*2π)/931 weeks
73.99334 .50826 (73*2π)/931 weeks
74.88827 .23836 (74*2π)/931 weeks
751.64974 .6839 (75*2π)/931 weeks
762.10786 .48227 (76*2π)/931 weeks
771.6583 -.32023 (77*2π)/931 weeks
781.84223 -1.34723 (78*2π)/931 weeks
792.09268 -1.31523 (79*2π)/931 weeks
801.91439 -2.67871 (80*2π)/931 weeks
811.85254 -2.82971 (81*2π)/931 weeks
821.33712 -3.51866 (82*2π)/931 weeks
83.26911 -4.32771 (83*2π)/931 weeks
84-.30705 -3.57248 (84*2π)/931 weeks
85-1.65457 -4.38998 (85*2π)/931 weeks
86-2.5462 -3.6795 (86*2π)/931 weeks
87-3.55255 -2.75617 (87*2π)/931 weeks
88-4.8276 -.75327 (88*2π)/931 weeks
89-5.32404 .64105 (89*2π)/931 weeks
90-6.38198 1.94147 (90*2π)/931 weeks
91-5.38776 2.78664 (91*2π)/931 weeks



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