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# Fourier Analysis of MBLAP

MBLAP appears to have interesting cyclic behaviour every 19 weeks (.7048*cosine), 24 weeks (.4375*cosine), and 18 weeks (.4267*cosine).

MBLAP has an average price of 14.47 (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 6/15/1998 to 12/13/2004 for MBLAP, this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
014.46797   0
11.10223 -1.89744 (1*2π)/286286 weeks
2-1.88454 -3.11494 (2*2π)/286143 weeks
3-1.68211 -.83765 (3*2π)/28695 weeks
4-1.05093 .16083 (4*2π)/28672 weeks
5.6043 .65854 (5*2π)/28657 weeks
61.22336 .13702 (6*2π)/28648 weeks
7.82966 -.9262 (7*2π)/28641 weeks
8.57691 -.07067 (8*2π)/28636 weeks
9-.12025 -.46498 (9*2π)/28632 weeks
10.02364 .0918 (10*2π)/28629 weeks
11-.22371 -.16443 (11*2π)/28626 weeks
12-.43746 -.31471 (12*2π)/28624 weeks
13-.17215 .07622 (13*2π)/28622 weeks
14.26801 .12347 (14*2π)/28620 weeks
15.70477 .19921 (15*2π)/28619 weeks
16.42669 .1363 (16*2π)/28618 weeks
17.10953 -.00706 (17*2π)/28617 weeks
18-.03612 -.16125 (18*2π)/28616 weeks
19-.28455 -.11922 (19*2π)/28615 weeks
20-.03008 .07741 (20*2π)/28614 weeks
21-.11522 .00114 (21*2π)/28614 weeks
22-.2474 .10024 (22*2π)/28613 weeks
23.03727 .03149 (23*2π)/28612 weeks
24.18547 .0863 (24*2π)/28612 weeks
25.2515 .02623 (25*2π)/28611 weeks
26.24607 .0714 (26*2π)/28611 weeks
27-.03501 -.12684 (27*2π)/28611 weeks
28-.24327 -.04911 (28*2π)/28610 weeks
29-.19488 -.08438 (29*2π)/28610 weeks
30-.23577 -.00546 (30*2π)/28610 weeks
31.05676 .04519 (31*2π)/2869 weeks
32.12537 -.03508 (32*2π)/2869 weeks
33.07843 .10739 (33*2π)/2869 weeks
34.26861 .03588 (34*2π)/2868 weeks
35.00226 -.00289 (35*2π)/2868 weeks
36.02614 .02348 (36*2π)/2868 weeks
37-.07792 .00351 (37*2π)/2868 weeks
38-.28814 -.04645 (38*2π)/2868 weeks
39-.05829 -.04945 (39*2π)/2867 weeks
40-.02272 .0082 (40*2π)/2867 weeks
41.05279 .03283 (41*2π)/2867 weeks
42.02546 .21353 (42*2π)/2867 weeks
43-.07565 .02618 (43*2π)/2867 weeks
44.01266 -.03296 (44*2π)/2867 weeks
45-.01784 -.17357 (45*2π)/2866 weeks
46-.02847 -.18209 (46*2π)/2866 weeks
47-.12113 -.0353 (47*2π)/2866 weeks
48-.08847 -.10774 (48*2π)/2866 weeks
49-.0412 -.02372 (49*2π)/2866 weeks
50.05636 .0254 (50*2π)/2866 weeks
51.09405 .09021 (51*2π)/2866 weeks
52.11249 .02975 (52*2π)/2866 weeks
53.08573 -.06352 (53*2π)/2865 weeks
54.04268 -.11402 (54*2π)/2865 weeks
55-.07039 -.18023 (55*2π)/2865 weeks
56-.08827 .05798 (56*2π)/2865 weeks
57.04837 .00508 (57*2π)/2865 weeks
58.0431 .05658 (58*2π)/2865 weeks
59.00827 .03286 (59*2π)/2865 weeks
60.02902 .04227 (60*2π)/2865 weeks
61.02996 .05748 (61*2π)/2865 weeks
62.11596 .01085 (62*2π)/2865 weeks
63.04856 -.01057 (63*2π)/2865 weeks
64-.07065 -.09064 (64*2π)/2864 weeks
65-.10198 -.03083 (65*2π)/2864 weeks
66-.04079 .01058 (66*2π)/2864 weeks
67.01611 .0477 (67*2π)/2864 weeks
68.02002 .06102 (68*2π)/2864 weeks
69-.03594 .01632 (69*2π)/2864 weeks
70.02748 .06627 (70*2π)/2864 weeks
71.08814 -.02053 (71*2π)/2864 weeks
72.0449 -.03444 (72*2π)/2864 weeks
73-.01794 -.06757 (73*2π)/2864 weeks
74-.0906 -.06533 (74*2π)/2864 weeks
75-.06318 .02645 (75*2π)/2864 weeks
76-.0272 .09839 (76*2π)/2864 weeks
77.02436 .06437 (77*2π)/2864 weeks
78.0237 .01855 (78*2π)/2864 weeks
79-.02423 .00376 (79*2π)/2864 weeks
80.0241 -.01099 (80*2π)/2864 weeks
81-.03994 -.01884 (81*2π)/2864 weeks
82.03774 -.06603 (82*2π)/2863 weeks
83-.03097 -.04309 (83*2π)/2863 weeks
84-.06152 -.01959 (84*2π)/2863 weeks
85-.07795 .0249 (85*2π)/2863 weeks
86-.08328 .04268 (86*2π)/2863 weeks
87.05892 -.01299 (87*2π)/2863 weeks
88.08935 .00645 (88*2π)/2863 weeks
89.05468 -.01113 (89*2π)/2863 weeks
90-.00228 .00806 (90*2π)/2863 weeks
91-.04968 -.06663 (91*2π)/2863 weeks
92-.03375 -.07909 (92*2π)/2863 weeks
93-.05341 -.06088 (93*2π)/2863 weeks
94-.01342 .00309 (94*2π)/2863 weeks
95-.00608 .05174 (95*2π)/2863 weeks
96.08517 .0726 (96*2π)/2863 weeks
97.06523 .04623 (97*2π)/2863 weeks
98.0463 -.04246 (98*2π)/2863 weeks
99-.05412 -.03695 (99*2π)/2863 weeks
100-.05205 -.05755 (100*2π)/2863 weeks
101.02167 -.05954 (101*2π)/2863 weeks
102-.01479 -.01907 (102*2π)/2863 weeks
103.05626 -.01181 (103*2π)/2863 weeks
104.03382 .0898 (104*2π)/2863 weeks
105.01021 .0774 (105*2π)/2863 weeks
106.02868 .10307 (106*2π)/2863 weeks
107-.01825 .00186 (107*2π)/2863 weeks
108.0045 -.0562 (108*2π)/2863 weeks
109.00805 -.00082 (109*2π)/2863 weeks
110-.00434 -.04435 (110*2π)/2863 weeks
111-.07345 .01697 (111*2π)/2863 weeks
112-.06359 .01692 (112*2π)/2863 weeks
113-.03052 .01586 (113*2π)/2863 weeks
114.03963 .0913 (114*2π)/2863 weeks
115.03677 .04878 (115*2π)/2862 weeks
116-.02657 .0019 (116*2π)/2862 weeks
117-.03852 -.01165 (117*2π)/2862 weeks
118-.02116 -.08151 (118*2π)/2862 weeks
119-.04022 -.07832 (119*2π)/2862 weeks
120-.02668 -.02884 (120*2π)/2862 weeks
121-.03309 -.01789 (121*2π)/2862 weeks
122-.02046 .07234 (122*2π)/2862 weeks
123.0403 .07355 (123*2π)/2862 weeks
124.02675 .00629 (124*2π)/2862 weeks
125-.03874 .00954 (125*2π)/2862 weeks
126-.01328 -.05369 (126*2π)/2862 weeks
127-.04027 -.0821 (127*2π)/2862 weeks
128.01697 -.05728 (128*2π)/2862 weeks
129.00334 -.09726 (129*2π)/2862 weeks
130-.01375 .01663 (130*2π)/2862 weeks
131-.01944 .09406 (131*2π)/2862 weeks
132.00575 .05842 (132*2π)/2862 weeks
133.00063 .03192 (133*2π)/2862 weeks
134.04179 -.0605 (134*2π)/2862 weeks
135.03128 -.08468 (135*2π)/2862 weeks
136-.01479 -.03615 (136*2π)/2862 weeks
137.03078 -.02663 (137*2π)/2862 weeks
138-.01541 -.00903 (138*2π)/2862 weeks
139-.01666 .0091 (139*2π)/2862 weeks
140.01416 .05539 (140*2π)/2862 weeks
141-.02024 .04696 (141*2π)/2862 weeks
142.02023 .06287 (142*2π)/2862 weeks
143.01796   (143*2π)/2862 weeks
144.02023 -.06287 (144*2π)/2862 weeks
145-.02024 -.04696 (145*2π)/2862 weeks
146.01416 -.05539 (146*2π)/2862 weeks
147-.01666 -.0091 (147*2π)/2862 weeks
148-.01541 .00903 (148*2π)/2862 weeks
149.03078 .02663 (149*2π)/2862 weeks
150-.01479 .03615 (150*2π)/2862 weeks
151.03128 .08468 (151*2π)/2862 weeks
152.04179 .0605 (152*2π)/2862 weeks
153.00063 -.03192 (153*2π)/2862 weeks
154.00575 -.05842 (154*2π)/2862 weeks
155-.01944 -.09406 (155*2π)/2862 weeks
156-.01375 -.01663 (156*2π)/2862 weeks
157.00334 .09726 (157*2π)/2862 weeks
158.01697 .05728 (158*2π)/2862 weeks
159-.04027 .0821 (159*2π)/2862 weeks
160-.01328 .05369 (160*2π)/2862 weeks
161-.03874 -.00954 (161*2π)/2862 weeks
162.02675 -.00629 (162*2π)/2862 weeks
163.0403 -.07355 (163*2π)/2862 weeks
164-.02046 -.07234 (164*2π)/2862 weeks
165-.03309 .01789 (165*2π)/2862 weeks
166-.02668 .02884 (166*2π)/2862 weeks
167-.04022 .07832 (167*2π)/2862 weeks
168-.02116 .08151 (168*2π)/2862 weeks
169-.03852 .01165 (169*2π)/2862 weeks
170-.02657 -.0019 (170*2π)/2862 weeks
171.03677 -.04878 (171*2π)/2862 weeks
172.03963 -.0913 (172*2π)/2862 weeks
173-.03052 -.01586 (173*2π)/2862 weeks
174-.06359 -.01692 (174*2π)/2862 weeks
175-.07345 -.01697 (175*2π)/2862 weeks
176-.00434 .04435 (176*2π)/2862 weeks
177.00805 .00082 (177*2π)/2862 weeks
178.0045 .0562 (178*2π)/2862 weeks
179-.01825 -.00186 (179*2π)/2862 weeks
180.02868 -.10307 (180*2π)/2862 weeks
181.01021 -.0774 (181*2π)/2862 weeks
182.03382 -.0898 (182*2π)/2862 weeks
183.05626 .01181 (183*2π)/2862 weeks
184-.01479 .01907 (184*2π)/2862 weeks
185.02167 .05954 (185*2π)/2862 weeks
186-.05205 .05755 (186*2π)/2862 weeks
187-.05412 .03695 (187*2π)/2862 weeks
188.0463 .04246 (188*2π)/2862 weeks
189.06523 -.04623 (189*2π)/2862 weeks
190.08517 -.0726 (190*2π)/2862 weeks
191-.00608 -.05174 (191*2π)/2861 weeks
192-.01342 -.00309 (192*2π)/2861 weeks
193-.05341 .06088 (193*2π)/2861 weeks
194-.03375 .07909 (194*2π)/2861 weeks
195-.04968 .06663 (195*2π)/2861 weeks
196-.00228 -.00806 (196*2π)/2861 weeks
197.05468 .01113 (197*2π)/2861 weeks
198.08935 -.00645 (198*2π)/2861 weeks
199.05892 .01299 (199*2π)/2861 weeks
200-.08328 -.04268 (200*2π)/2861 weeks
201-.07795 -.0249 (201*2π)/2861 weeks
202-.06152 .01959 (202*2π)/2861 weeks
203-.03097 .04309 (203*2π)/2861 weeks
204.03774 .06603 (204*2π)/2861 weeks
205-.03994 .01884 (205*2π)/2861 weeks
206.0241 .01099 (206*2π)/2861 weeks
207-.02423 -.00376 (207*2π)/2861 weeks
208.0237 -.01855 (208*2π)/2861 weeks
209.02436 -.06437 (209*2π)/2861 weeks
210-.0272 -.09839 (210*2π)/2861 weeks
211-.06318 -.02645 (211*2π)/2861 weeks
212-.0906 .06533 (212*2π)/2861 weeks
213-.01794 .06757 (213*2π)/2861 weeks
214.0449 .03444 (214*2π)/2861 weeks
215.08814 .02053 (215*2π)/2861 weeks
216.02748 -.06627 (216*2π)/2861 weeks
217-.03594 -.01632 (217*2π)/2861 weeks
218.02002 -.06102 (218*2π)/2861 weeks
219.01611 -.0477 (219*2π)/2861 weeks
220-.04079 -.01058 (220*2π)/2861 weeks
221-.10198 .03083 (221*2π)/2861 weeks
222-.07065 .09064 (222*2π)/2861 weeks
223.04856 .01057 (223*2π)/2861 weeks
224.11596 -.01085 (224*2π)/2861 weeks
225.02996 -.05748 (225*2π)/2861 weeks
226.02902 -.04227 (226*2π)/2861 weeks
227.00827 -.03286 (227*2π)/2861 weeks
228.0431 -.05658 (228*2π)/2861 weeks
229.04837 -.00508 (229*2π)/2861 weeks
230-.08827 -.05798 (230*2π)/2861 weeks
231-.07039 .18023 (231*2π)/2861 weeks
232.04268 .11402 (232*2π)/2861 weeks
233.08573 .06352 (233*2π)/2861 weeks
234.11249 -.02975 (234*2π)/2861 weeks
235.09405 -.09021 (235*2π)/2861 weeks
236.05636 -.0254 (236*2π)/2861 weeks
237-.0412 .02372 (237*2π)/2861 weeks
238-.08847 .10774 (238*2π)/2861 weeks
239-.12113 .0353 (239*2π)/2861 weeks
240-.02847 .18209 (240*2π)/2861 weeks
241-.01784 .17357 (241*2π)/2861 weeks
242.01266 .03296 (242*2π)/2861 weeks
243-.07565 -.02618 (243*2π)/2861 weeks
244.02546 -.21353 (244*2π)/2861 weeks
245.05279 -.03283 (245*2π)/2861 weeks
246-.02272 -.0082 (246*2π)/2861 weeks
247-.05829 .04945 (247*2π)/2861 weeks
248-.28814 .04645 (248*2π)/2861 weeks
249-.07792 -.00351 (249*2π)/2861 weeks
250.02614 -.02348 (250*2π)/2861 weeks
251.00226 .00289 (251*2π)/2861 weeks
252.26861 -.03588 (252*2π)/2861 weeks
253.07843 -.10739 (253*2π)/2861 weeks
254.12537 .03508 (254*2π)/2861 weeks
255.05676 -.04519 (255*2π)/2861 weeks
256-.23577 .00546 (256*2π)/2861 weeks
257-.19488 .08438 (257*2π)/2861 weeks
258-.24327 .04911 (258*2π)/2861 weeks
259-.03501 .12684 (259*2π)/2861 weeks
260.24607 -.0714 (260*2π)/2861 weeks
261.2515 -.02623 (261*2π)/2861 weeks
262.18547 -.0863 (262*2π)/2861 weeks
263.03727 -.03149 (263*2π)/2861 weeks
264-.2474 -.10024 (264*2π)/2861 weeks
265-.11522 -.00114 (265*2π)/2861 weeks
266-.03008 -.07741 (266*2π)/2861 weeks
267-.28455 .11922 (267*2π)/2861 weeks
268-.03612 .16125 (268*2π)/2861 weeks
269.10953 .00706 (269*2π)/2861 weeks
270.42669 -.1363 (270*2π)/2861 weeks
271.70477 -.19921 (271*2π)/2861 weeks
272.26801 -.12347 (272*2π)/2861 weeks
273-.17215 -.07622 (273*2π)/2861 weeks
274-.43746 .31471 (274*2π)/2861 weeks
275-.22371 .16443 (275*2π)/2861 weeks
276.02364 -.0918 (276*2π)/2861 weeks
277-.12025 .46498 (277*2π)/2861 weeks
278.57691 .07067 (278*2π)/2861 weeks
279.82966 .9262 (279*2π)/2861 weeks
2801.22336 -.13702 (280*2π)/2861 weeks
281.6043 -.65854 (281*2π)/2861 weeks
282-1.05093 -.16083 (282*2π)/2861 weeks
283-1.68211 .83765 (283*2π)/2861 weeks
284-1.88454 3.11494 (284*2π)/2861 weeks