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Fourier Analysis of BSMX (Grupo Financiero Santander Mexico SAB de CV)


BSMX (Grupo Financiero Santander Mexico SAB de CV) appears to have interesting cyclic behaviour every 19 weeks (.2796*cosine), 21 weeks (.175*cosine), and 17 weeks (.1724*cosine).

BSMX (Grupo Financiero Santander Mexico SAB de CV) has an average price of 9.6 (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 9/26/2012 to 7/10/2017 for BSMX (Grupo Financiero Santander Mexico SAB de CV), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
09.6035   0 
1.48057 2.12834 (1*2π)/251251 weeks
2.28245 .28897 (2*2π)/251126 weeks
3-.02479 .95082 (3*2π)/25184 weeks
4.02447 .23492 (4*2π)/25163 weeks
5.3552 -.06923 (5*2π)/25150 weeks
6-.04407 .18103 (6*2π)/25142 weeks
7-.22615 -.40056 (7*2π)/25136 weeks
8.03304 .18873 (8*2π)/25131 weeks
9-.05575 -.02171 (9*2π)/25128 weeks
10-.15108 .14365 (10*2π)/25125 weeks
11-.05458 .01528 (11*2π)/25123 weeks
12.175 -.01912 (12*2π)/25121 weeks
13-.27963 -.0273 (13*2π)/25119 weeks
14.04201 -.04561 (14*2π)/25118 weeks
15.17245 -.16354 (15*2π)/25117 weeks
16.07113 .07897 (16*2π)/25116 weeks
17.12244 .10979 (17*2π)/25115 weeks
18.04738 .0486 (18*2π)/25114 weeks
19.02065 .04887 (19*2π)/25113 weeks
20.05952 -.03502 (20*2π)/25113 weeks
21-.01228 .01683 (21*2π)/25112 weeks
22.01364 -.09774 (22*2π)/25111 weeks
23.04722 .12438 (23*2π)/25111 weeks
24-.06421 .14185 (24*2π)/25110 weeks
25-.03236 .09384 (25*2π)/25110 weeks
26-.0147 -.0558 (26*2π)/25110 weeks
27.02858 .00408 (27*2π)/2519 weeks
28-.00068 -.01487 (28*2π)/2519 weeks
29-.00062 -.0251 (29*2π)/2519 weeks
30-.01368 .08004 (30*2π)/2518 weeks
31-.02483 .06596 (31*2π)/2518 weeks
32.08065 -.02941 (32*2π)/2518 weeks
33.05491 .0345 (33*2π)/2518 weeks
34.00851 -.02112 (34*2π)/2517 weeks
35-.0114 .05314 (35*2π)/2517 weeks
36-.11284 .03831 (36*2π)/2517 weeks
37-.04224 -.01002 (37*2π)/2517 weeks
38.01157 -.02641 (38*2π)/2517 weeks
39.01429 .02382 (39*2π)/2516 weeks
40-.00822 -.03003 (40*2π)/2516 weeks
41-.02064 .01459 (41*2π)/2516 weeks
42-.00999 .05279 (42*2π)/2516 weeks
43-.0078 -.02416 (43*2π)/2516 weeks
44.07336 -.04462 (44*2π)/2516 weeks
45.03616 .05917 (45*2π)/2516 weeks
46.00665 .06006 (46*2π)/2515 weeks
47.0548 -.04122 (47*2π)/2515 weeks
48-.01354 .00932 (48*2π)/2515 weeks
49.00942 .02742 (49*2π)/2515 weeks
50-.04173 -.00378 (50*2π)/2515 weeks
51.01431 .02559 (51*2π)/2515 weeks
52-.00859 -.00486 (52*2π)/2515 weeks
53.00852 -.04067 (53*2π)/2515 weeks
54.01067 .00487 (54*2π)/2515 weeks
55.07954 .01462 (55*2π)/2515 weeks
56.02988 .06203 (56*2π)/2514 weeks
57-.04712 .0041 (57*2π)/2514 weeks
58.00752 .06834 (58*2π)/2514 weeks
59-.07081 .01513 (59*2π)/2514 weeks
60.02002 -.03071 (60*2π)/2514 weeks
61.00885 .00161 (61*2π)/2514 weeks
62.04714 -.05097 (62*2π)/2514 weeks
63-.01376 .02668 (63*2π)/2514 weeks
64-.00512 .00955 (64*2π)/2514 weeks
65.05255 .0214 (65*2π)/2514 weeks
66-.0126 .00918 (66*2π)/2514 weeks
67-.02197 -.01057 (67*2π)/2514 weeks
68-.03447 -.02484 (68*2π)/2514 weeks
69.00735 -.02283 (69*2π)/2514 weeks
70-.00119 .0151 (70*2π)/2514 weeks
71.00006 .04051 (71*2π)/2514 weeks
72-.02399 .02505 (72*2π)/2513 weeks
73.00871 -.0065 (73*2π)/2513 weeks
74-.00483 -.03306 (74*2π)/2513 weeks
75-.06356 -.01315 (75*2π)/2513 weeks
76-.01812 -.02025 (76*2π)/2513 weeks
77.01265 -.01307 (77*2π)/2513 weeks
78.04051 .02193 (78*2π)/2513 weeks
79-.0017 .00302 (79*2π)/2513 weeks
80-.03268 .01845 (80*2π)/2513 weeks
81-.00698 .01531 (81*2π)/2513 weeks
82-.02097 -.04404 (82*2π)/2513 weeks
83-.01887 -.0333 (83*2π)/2513 weeks
84.0312 -.02468 (84*2π)/2513 weeks
85.01411 .01392 (85*2π)/2513 weeks
86.01237 .0241 (86*2π)/2513 weeks
87.01746 -.01959 (87*2π)/2513 weeks
88.03091 .01173 (88*2π)/2513 weeks
89-.00992 -.02109 (89*2π)/2513 weeks
90.02525 .00494 (90*2π)/2513 weeks
91-.02516 .0401 (91*2π)/2513 weeks
92-.00819 -.00484 (92*2π)/2513 weeks
93-.00667 -.03048 (93*2π)/2513 weeks
94.0069 .0061 (94*2π)/2513 weeks
95.02347 -.01841 (95*2π)/2513 weeks
96.00727 -.00276 (96*2π)/2513 weeks
97.0264 -.03843 (97*2π)/2513 weeks
98-.01008 .02091 (98*2π)/2513 weeks
99-.02015 -.0244 (99*2π)/2513 weeks
100.03279 .01 (100*2π)/2513 weeks
101.0456 -.01253 (101*2π)/2512 weeks
102.02445 .00764 (102*2π)/2512 weeks
103.00571 -.00674 (103*2π)/2512 weeks
104-.02468 .01954 (104*2π)/2512 weeks
105-.00777 -.03857 (105*2π)/2512 weeks
106.006 .00125 (106*2π)/2512 weeks
107-.00968 -.00345 (107*2π)/2512 weeks
108.02282 .04361 (108*2π)/2512 weeks
109-.00165 .03202 (109*2π)/2512 weeks
110-.01157 -.01933 (110*2π)/2512 weeks
111-.0269 .02166 (111*2π)/2512 weeks
112-.00609 -.01443 (112*2π)/2512 weeks
113-.02173 -.01477 (113*2π)/2512 weeks
114.01794 -.01694 (114*2π)/2512 weeks
115.02231 .00064 (115*2π)/2512 weeks
116-.01084 -.01248 (116*2π)/2512 weeks
117.02433 .00303 (117*2π)/2512 weeks
118.02907 .01023 (118*2π)/2512 weeks
119-.01529 -.0073 (119*2π)/2512 weeks
120-.02235 -.01173 (120*2π)/2512 weeks
121.00725 .03134 (121*2π)/2512 weeks
122.01558 -.01591 (122*2π)/2512 weeks
123.005 -.00379 (123*2π)/2512 weeks
124.00522 .01825 (124*2π)/2512 weeks
125-.03407 .02203 (125*2π)/2512 weeks
126-.03407 -.02203 (126*2π)/2512 weeks
127.00522 -.01825 (127*2π)/2512 weeks
128.005 .00379 (128*2π)/2512 weeks
129.01558 .01591 (129*2π)/2512 weeks
130.00725 -.03134 (130*2π)/2512 weeks
131-.02235 .01173 (131*2π)/2512 weeks
132-.01529 .0073 (132*2π)/2512 weeks
133.02907 -.01023 (133*2π)/2512 weeks
134.02433 -.00303 (134*2π)/2512 weeks
135-.01084 .01248 (135*2π)/2512 weeks
136.02231 -.00064 (136*2π)/2512 weeks
137.01794 .01694 (137*2π)/2512 weeks
138-.02173 .01477 (138*2π)/2512 weeks
139-.00609 .01443 (139*2π)/2512 weeks
140-.0269 -.02166 (140*2π)/2512 weeks
141-.01157 .01933 (141*2π)/2512 weeks
142-.00165 -.03202 (142*2π)/2512 weeks
143.02282 -.04361 (143*2π)/2512 weeks
144-.00968 .00345 (144*2π)/2512 weeks
145.006 -.00125 (145*2π)/2512 weeks
146-.00777 .03857 (146*2π)/2512 weeks
147-.02468 -.01954 (147*2π)/2512 weeks
148.00571 .00674 (148*2π)/2512 weeks
149.02445 -.00764 (149*2π)/2512 weeks
150.0456 .01253 (150*2π)/2512 weeks
151.03279 -.01 (151*2π)/2512 weeks
152-.02015 .0244 (152*2π)/2512 weeks
153-.01008 -.02091 (153*2π)/2512 weeks
154.0264 .03843 (154*2π)/2512 weeks
155.00727 .00276 (155*2π)/2512 weeks
156.02347 .01841 (156*2π)/2512 weeks
157.0069 -.0061 (157*2π)/2512 weeks
158-.00667 .03048 (158*2π)/2512 weeks
159-.00819 .00484 (159*2π)/2512 weeks
160-.02516 -.0401 (160*2π)/2512 weeks
161.02525 -.00494 (161*2π)/2512 weeks
162-.00992 .02109 (162*2π)/2512 weeks
163.03091 -.01173 (163*2π)/2512 weeks
164.01746 .01959 (164*2π)/2512 weeks
165.01237 -.0241 (165*2π)/2512 weeks
166.01411 -.01392 (166*2π)/2512 weeks
167.0312 .02468 (167*2π)/2512 weeks
168-.01887 .0333 (168*2π)/2511 weeks
169-.02097 .04404 (169*2π)/2511 weeks
170-.00698 -.01531 (170*2π)/2511 weeks
171-.03268 -.01845 (171*2π)/2511 weeks
172-.0017 -.00302 (172*2π)/2511 weeks
173.04051 -.02193 (173*2π)/2511 weeks
174.01265 .01307 (174*2π)/2511 weeks
175-.01812 .02025 (175*2π)/2511 weeks
176-.06356 .01315 (176*2π)/2511 weeks
177-.00483 .03306 (177*2π)/2511 weeks
178.00871 .0065 (178*2π)/2511 weeks
179-.02399 -.02505 (179*2π)/2511 weeks
180.00006 -.04051 (180*2π)/2511 weeks
181-.00119 -.0151 (181*2π)/2511 weeks
182.00735 .02283 (182*2π)/2511 weeks
183-.03447 .02484 (183*2π)/2511 weeks
184-.02197 .01057 (184*2π)/2511 weeks
185-.0126 -.00918 (185*2π)/2511 weeks
186.05255 -.0214 (186*2π)/2511 weeks
187-.00512 -.00955 (187*2π)/2511 weeks
188-.01376 -.02668 (188*2π)/2511 weeks
189.04714 .05097 (189*2π)/2511 weeks
190.00885 -.00161 (190*2π)/2511 weeks
191.02002 .03071 (191*2π)/2511 weeks
192-.07081 -.01513 (192*2π)/2511 weeks
193.00752 -.06834 (193*2π)/2511 weeks
194-.04712 -.0041 (194*2π)/2511 weeks
195.02988 -.06203 (195*2π)/2511 weeks
196.07954 -.01462 (196*2π)/2511 weeks
197.01067 -.00487 (197*2π)/2511 weeks
198.00852 .04067 (198*2π)/2511 weeks
199-.00859 .00486 (199*2π)/2511 weeks
200.01431 -.02559 (200*2π)/2511 weeks
201-.04173 .00378 (201*2π)/2511 weeks
202.00942 -.02742 (202*2π)/2511 weeks
203-.01354 -.00932 (203*2π)/2511 weeks
204.0548 .04122 (204*2π)/2511 weeks
205.00665 -.06006 (205*2π)/2511 weeks
206.03616 -.05917 (206*2π)/2511 weeks
207.07336 .04462 (207*2π)/2511 weeks
208-.0078 .02416 (208*2π)/2511 weeks
209-.00999 -.05279 (209*2π)/2511 weeks
210-.02064 -.01459 (210*2π)/2511 weeks
211-.00822 .03003 (211*2π)/2511 weeks
212.01429 -.02382 (212*2π)/2511 weeks
213.01157 .02641 (213*2π)/2511 weeks
214-.04224 .01002 (214*2π)/2511 weeks
215-.11284 -.03831 (215*2π)/2511 weeks
216-.0114 -.05314 (216*2π)/2511 weeks
217.00851 .02112 (217*2π)/2511 weeks
218.05491 -.0345 (218*2π)/2511 weeks
219.08065 .02941 (219*2π)/2511 weeks
220-.02483 -.06596 (220*2π)/2511 weeks
221-.01368 -.08004 (221*2π)/2511 weeks
222-.00062 .0251 (222*2π)/2511 weeks
223-.00068 .01487 (223*2π)/2511 weeks
224.02858 -.00408 (224*2π)/2511 weeks
225-.0147 .0558 (225*2π)/2511 weeks
226-.03236 -.09384 (226*2π)/2511 weeks
227-.06421 -.14185 (227*2π)/2511 weeks
228.04722 -.12438 (228*2π)/2511 weeks
229.01364 .09774 (229*2π)/2511 weeks
230-.01228 -.01683 (230*2π)/2511 weeks
231.05952 .03502 (231*2π)/2511 weeks
232.02065 -.04887 (232*2π)/2511 weeks
233.04738 -.0486 (233*2π)/2511 weeks
234.12244 -.10979 (234*2π)/2511 weeks
235.07113 -.07897 (235*2π)/2511 weeks
236.17245 .16354 (236*2π)/2511 weeks
237.04201 .04561 (237*2π)/2511 weeks
238-.27963 .0273 (238*2π)/2511 weeks
239.175 .01912 (239*2π)/2511 weeks
240-.05458 -.01528 (240*2π)/2511 weeks
241-.15108 -.14365 (241*2π)/2511 weeks
242-.05575 .02171 (242*2π)/2511 weeks
243.03304 -.18873 (243*2π)/2511 weeks
244-.22615 .40056 (244*2π)/2511 weeks
245-.04407 -.18103 (245*2π)/2511 weeks
246.3552 .06923 (246*2π)/2511 weeks
247.02447 -.23492 (247*2π)/2511 weeks
248-.02479 -.95082 (248*2π)/2511 weeks
249.28245 -.28897 (249*2π)/2511 weeks



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