Back to list of Stocks    See Also: Seasonal Analysis of FBHSGenetic Algorithms Stock Portfolio Generator, and Fourier Calculator

Fourier Analysis of FBHS (Fortune Brands Home & Security,)


FBHS (Fortune Brands Home & Security,) appears to have interesting cyclic behaviour every 19 weeks (1.6229*sine), 17 weeks (1.3366*sine), and 28 weeks (1.2536*sine).

FBHS (Fortune Brands Home & Security,) has an average price of 39.47 (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.

Right click on the graph above to see the menu of operations (download, full screen, etc.)

Fourier Analysis

Using data from 9/16/2011 to 1/9/2017 for FBHS (Fortune Brands Home & Security,), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
039.46955   0 
1-2.51323 -11.85497 (1*2π)/279279 weeks
2-1.02255 -9.82917 (2*2π)/279140 weeks
3-.02357 -4.63701 (3*2π)/27993 weeks
4-1.228 -3.79864 (4*2π)/27970 weeks
5-.85139 -2.45171 (5*2π)/27956 weeks
6-1.38044 -2.9206 (6*2π)/27947 weeks
7-.47204 -.84405 (7*2π)/27940 weeks
8-.6059 -1.30347 (8*2π)/27935 weeks
9.59852 -1.70461 (9*2π)/27931 weeks
10-.05805 -1.25361 (10*2π)/27928 weeks
11-.09153 -1.11038 (11*2π)/27925 weeks
12-.33295 -.76827 (12*2π)/27923 weeks
13.11179 -.77825 (13*2π)/27921 weeks
14.09142 -1.22734 (14*2π)/27920 weeks
15.20124 -1.62287 (15*2π)/27919 weeks
16-.26744 -1.33657 (16*2π)/27917 weeks
17-.95711 -.80629 (17*2π)/27916 weeks
18-.31111 -.51616 (18*2π)/27916 weeks
19-.30771 -.52999 (19*2π)/27915 weeks
20.05601 -.73106 (20*2π)/27914 weeks
21-.57098 -.89724 (21*2π)/27913 weeks
22-.30097 -.28801 (22*2π)/27913 weeks
23-.05477 -.50431 (23*2π)/27912 weeks
24-.25055 -.22333 (24*2π)/27912 weeks
25-.03086 -.85717 (25*2π)/27911 weeks
26.00618 -.40771 (26*2π)/27911 weeks
27-.22609 -.48552 (27*2π)/27910 weeks
28-.37736 -.65274 (28*2π)/27910 weeks
29-.00862 -.22513 (29*2π)/27910 weeks
30-.34595 -.37888 (30*2π)/2799 weeks
31-.1314 -.61902 (31*2π)/2799 weeks
32.04955 -.38171 (32*2π)/2799 weeks
33-.13673 .00785 (33*2π)/2798 weeks
34-.03927 -.6181 (34*2π)/2798 weeks
35.03452 -.21687 (35*2π)/2798 weeks
36-.24988 -.3521 (36*2π)/2798 weeks
37-.16178 -.58283 (37*2π)/2798 weeks
38-.29413 -.35144 (38*2π)/2797 weeks
39-.03375 -.29595 (39*2π)/2797 weeks
40-.02843 -.30472 (40*2π)/2797 weeks
41-.03339 -.4148 (41*2π)/2797 weeks
42-.03867 -.4161 (42*2π)/2797 weeks
43-.14058 -.44887 (43*2π)/2796 weeks
44-.18754 -.29528 (44*2π)/2796 weeks
45-.29644 -.38074 (45*2π)/2796 weeks
46-.36971 -.22398 (46*2π)/2796 weeks
47-.27862 -.16173 (47*2π)/2796 weeks
48.02145 -.27571 (48*2π)/2796 weeks
49-.25836 -.26027 (49*2π)/2796 weeks
50-.06683 -.1113 (50*2π)/2796 weeks
51-.05295 -.2632 (51*2π)/2795 weeks
52-.10041 -.25487 (52*2π)/2795 weeks
53-.04948 -.24428 (53*2π)/2795 weeks
54-.25636 .02836 (54*2π)/2795 weeks
55-.03916 -.07757 (55*2π)/2795 weeks
56-.09746 -.30516 (56*2π)/2795 weeks
57-.16529 -.28513 (57*2π)/2795 weeks
58-.10339 -.15216 (58*2π)/2795 weeks
59-.07747 -.06729 (59*2π)/2795 weeks
60-.11431 -.24094 (60*2π)/2795 weeks
61-.0902 -.2289 (61*2π)/2795 weeks
62-.33265 -.23415 (62*2π)/2795 weeks
63-.23724 -.18265 (63*2π)/2794 weeks
64-.17411 -.01171 (64*2π)/2794 weeks
65-.00002 -.25269 (65*2π)/2794 weeks
66-.12695 -.13418 (66*2π)/2794 weeks
67-.01999 -.25545 (67*2π)/2794 weeks
68-.15231 -.17757 (68*2π)/2794 weeks
69-.10242 -.01882 (69*2π)/2794 weeks
70-.02658 -.18894 (70*2π)/2794 weeks
71.01588 -.27862 (71*2π)/2794 weeks
72-.22171 -.31946 (72*2π)/2794 weeks
73-.31565 -.37654 (73*2π)/2794 weeks
74-.27721 -.02639 (74*2π)/2794 weeks
75-.15413 -.19201 (75*2π)/2794 weeks
76-.18013 -.13551 (76*2π)/2794 weeks
77-.32177 -.15217 (77*2π)/2794 weeks
78-.23891 -.04515 (78*2π)/2794 weeks
79-.27593 -.08986 (79*2π)/2794 weeks
80-.12084 -.10484 (80*2π)/2793 weeks
81-.12045 .08741 (81*2π)/2793 weeks
82-.18949 -.05551 (82*2π)/2793 weeks
83-.09155 -.10774 (83*2π)/2793 weeks
84-.22095 -.23538 (84*2π)/2793 weeks
85-.24321 -.11503 (85*2π)/2793 weeks
86-.02674 -.00011 (86*2π)/2793 weeks
87-.20836 -.14978 (87*2π)/2793 weeks
88-.19803 -.1953 (88*2π)/2793 weeks
89-.15392 .046 (89*2π)/2793 weeks
90-.20999 -.09808 (90*2π)/2793 weeks
91-.14213 -.11613 (91*2π)/2793 weeks
92-.13583 -.05283 (92*2π)/2793 weeks
93-.23603 -.29592 (93*2π)/2793 weeks
94-.11273 .01198 (94*2π)/2793 weeks
95-.15103 .02833 (95*2π)/2793 weeks
96-.13324 -.06633 (96*2π)/2793 weeks
97-.10161 -.11411 (97*2π)/2793 weeks
98-.05159 -.08589 (98*2π)/2793 weeks
99-.07626 -.09063 (99*2π)/2793 weeks
100-.11998 .01 (100*2π)/2793 weeks
101-.09869 -.20476 (101*2π)/2793 weeks
102-.08662 -.02467 (102*2π)/2793 weeks
103-.21739 -.04899 (103*2π)/2793 weeks
104-.18408 -.02463 (104*2π)/2793 weeks
105-.1732 -.15331 (105*2π)/2793 weeks
106-.22738 -.0901 (106*2π)/2793 weeks
107-.16828 -.04574 (107*2π)/2793 weeks
108-.09747 -.13314 (108*2π)/2793 weeks
109-.1236 -.02326 (109*2π)/2793 weeks
110-.27078 -.00588 (110*2π)/2793 weeks
111-.07476 -.11714 (111*2π)/2793 weeks
112-.20071 .00989 (112*2π)/2792 weeks
113-.10266 -.00333 (113*2π)/2792 weeks
114-.14332 -.1304 (114*2π)/2792 weeks
115-.14394 -.0385 (115*2π)/2792 weeks
116-.08072 -.11176 (116*2π)/2792 weeks
117-.22244 -.06414 (117*2π)/2792 weeks
118-.24748 .05509 (118*2π)/2792 weeks
119-.12396 .02703 (119*2π)/2792 weeks
120-.16357 -.00657 (120*2π)/2792 weeks
121-.18512 -.12385 (121*2π)/2792 weeks
122-.02903 -.06281 (122*2π)/2792 weeks
123-.17588 .03897 (123*2π)/2792 weeks
124-.20823 .10563 (124*2π)/2792 weeks
125-.18004 .01049 (125*2π)/2792 weeks
126-.04253 -.03231 (126*2π)/2792 weeks
127-.2526 .0152 (127*2π)/2792 weeks
128-.09464 .01053 (128*2π)/2792 weeks
129-.18538 .00147 (129*2π)/2792 weeks
130-.22924 .02377 (130*2π)/2792 weeks
131-.17888 -.07907 (131*2π)/2792 weeks
132-.07457 .14249 (132*2π)/2792 weeks
133-.07372 .09346 (133*2π)/2792 weeks
134-.10346 -.00612 (134*2π)/2792 weeks
135-.13718 -.03123 (135*2π)/2792 weeks
136-.1812 -.00949 (136*2π)/2792 weeks
137-.09593 -.01016 (137*2π)/2792 weeks
138-.07384 -.03354 (138*2π)/2792 weeks
139-.13017 -.02256 (139*2π)/2792 weeks
140-.13017 .02256 (140*2π)/2792 weeks
141-.07384 .03354 (141*2π)/2792 weeks
142-.09593 .01016 (142*2π)/2792 weeks
143-.1812 .00949 (143*2π)/2792 weeks
144-.13718 .03123 (144*2π)/2792 weeks
145-.10346 .00612 (145*2π)/2792 weeks
146-.07372 -.09346 (146*2π)/2792 weeks
147-.07457 -.14249 (147*2π)/2792 weeks
148-.17888 .07907 (148*2π)/2792 weeks
149-.22924 -.02377 (149*2π)/2792 weeks
150-.18538 -.00147 (150*2π)/2792 weeks
151-.09464 -.01053 (151*2π)/2792 weeks
152-.2526 -.0152 (152*2π)/2792 weeks
153-.04253 .03231 (153*2π)/2792 weeks
154-.18004 -.01049 (154*2π)/2792 weeks
155-.20823 -.10563 (155*2π)/2792 weeks
156-.17588 -.03897 (156*2π)/2792 weeks
157-.02903 .06281 (157*2π)/2792 weeks
158-.18512 .12385 (158*2π)/2792 weeks
159-.16357 .00657 (159*2π)/2792 weeks
160-.12396 -.02703 (160*2π)/2792 weeks
161-.24748 -.05509 (161*2π)/2792 weeks
162-.22244 .06414 (162*2π)/2792 weeks
163-.08072 .11176 (163*2π)/2792 weeks
164-.14394 .0385 (164*2π)/2792 weeks
165-.14332 .1304 (165*2π)/2792 weeks
166-.10266 .00333 (166*2π)/2792 weeks
167-.20071 -.00989 (167*2π)/2792 weeks
168-.07476 .11714 (168*2π)/2792 weeks
169-.27078 .00588 (169*2π)/2792 weeks
170-.1236 .02326 (170*2π)/2792 weeks
171-.09747 .13314 (171*2π)/2792 weeks
172-.16828 .04574 (172*2π)/2792 weeks
173-.22738 .0901 (173*2π)/2792 weeks
174-.1732 .15331 (174*2π)/2792 weeks
175-.18408 .02463 (175*2π)/2792 weeks
176-.21739 .04899 (176*2π)/2792 weeks
177-.08662 .02467 (177*2π)/2792 weeks
178-.09869 .20476 (178*2π)/2792 weeks
179-.11998 -.01 (179*2π)/2792 weeks
180-.07626 .09063 (180*2π)/2792 weeks
181-.05159 .08589 (181*2π)/2792 weeks
182-.10161 .11411 (182*2π)/2792 weeks
183-.13324 .06633 (183*2π)/2792 weeks
184-.15103 -.02833 (184*2π)/2792 weeks
185-.11273 -.01198 (185*2π)/2792 weeks
186-.23603 .29592 (186*2π)/2792 weeks
187-.13583 .05283 (187*2π)/2791 weeks
188-.14213 .11613 (188*2π)/2791 weeks
189-.20999 .09808 (189*2π)/2791 weeks
190-.15392 -.046 (190*2π)/2791 weeks
191-.19803 .1953 (191*2π)/2791 weeks
192-.20836 .14978 (192*2π)/2791 weeks
193-.02674 .00011 (193*2π)/2791 weeks
194-.24321 .11503 (194*2π)/2791 weeks
195-.22095 .23538 (195*2π)/2791 weeks
196-.09155 .10774 (196*2π)/2791 weeks
197-.18949 .05551 (197*2π)/2791 weeks
198-.12045 -.08741 (198*2π)/2791 weeks
199-.12084 .10484 (199*2π)/2791 weeks
200-.27593 .08986 (200*2π)/2791 weeks
201-.23891 .04515 (201*2π)/2791 weeks
202-.32177 .15217 (202*2π)/2791 weeks
203-.18013 .13551 (203*2π)/2791 weeks
204-.15413 .19201 (204*2π)/2791 weeks
205-.27721 .02639 (205*2π)/2791 weeks
206-.31565 .37654 (206*2π)/2791 weeks
207-.22171 .31946 (207*2π)/2791 weeks
208.01588 .27862 (208*2π)/2791 weeks
209-.02658 .18894 (209*2π)/2791 weeks
210-.10242 .01882 (210*2π)/2791 weeks
211-.15231 .17757 (211*2π)/2791 weeks
212-.01999 .25545 (212*2π)/2791 weeks
213-.12695 .13418 (213*2π)/2791 weeks
214-.00002 .25269 (214*2π)/2791 weeks
215-.17411 .01171 (215*2π)/2791 weeks
216-.23724 .18265 (216*2π)/2791 weeks
217-.33265 .23415 (217*2π)/2791 weeks
218-.0902 .2289 (218*2π)/2791 weeks
219-.11431 .24094 (219*2π)/2791 weeks
220-.07747 .06729 (220*2π)/2791 weeks
221-.10339 .15216 (221*2π)/2791 weeks
222-.16529 .28513 (222*2π)/2791 weeks
223-.09746 .30516 (223*2π)/2791 weeks
224-.03916 .07757 (224*2π)/2791 weeks
225-.25636 -.02836 (225*2π)/2791 weeks
226-.04948 .24428 (226*2π)/2791 weeks
227-.10041 .25487 (227*2π)/2791 weeks
228-.05295 .2632 (228*2π)/2791 weeks
229-.06683 .1113 (229*2π)/2791 weeks
230-.25836 .26027 (230*2π)/2791 weeks
231.02145 .27571 (231*2π)/2791 weeks
232-.27862 .16173 (232*2π)/2791 weeks
233-.36971 .22398 (233*2π)/2791 weeks
234-.29644 .38074 (234*2π)/2791 weeks
235-.18754 .29528 (235*2π)/2791 weeks
236-.14058 .44887 (236*2π)/2791 weeks
237-.03867 .4161 (237*2π)/2791 weeks
238-.03339 .4148 (238*2π)/2791 weeks
239-.02843 .30472 (239*2π)/2791 weeks
240-.03375 .29595 (240*2π)/2791 weeks
241-.29413 .35144 (241*2π)/2791 weeks
242-.16178 .58283 (242*2π)/2791 weeks
243-.24988 .3521 (243*2π)/2791 weeks
244.03452 .21687 (244*2π)/2791 weeks
245-.03927 .6181 (245*2π)/2791 weeks
246-.13673 -.00785 (246*2π)/2791 weeks
247.04955 .38171 (247*2π)/2791 weeks
248-.1314 .61902 (248*2π)/2791 weeks
249-.34595 .37888 (249*2π)/2791 weeks
250-.00862 .22513 (250*2π)/2791 weeks
251-.37736 .65274 (251*2π)/2791 weeks
252-.22609 .48552 (252*2π)/2791 weeks
253.00618 .40771 (253*2π)/2791 weeks
254-.03086 .85717 (254*2π)/2791 weeks
255-.25055 .22333 (255*2π)/2791 weeks
256-.05477 .50431 (256*2π)/2791 weeks
257-.30097 .28801 (257*2π)/2791 weeks
258-.57098 .89724 (258*2π)/2791 weeks
259.05601 .73106 (259*2π)/2791 weeks
260-.30771 .52999 (260*2π)/2791 weeks
261-.31111 .51616 (261*2π)/2791 weeks
262-.95711 .80629 (262*2π)/2791 weeks
263-.26744 1.33657 (263*2π)/2791 weeks
264.20124 1.62287 (264*2π)/2791 weeks
265.09142 1.22734 (265*2π)/2791 weeks
266.11179 .77825 (266*2π)/2791 weeks
267-.33295 .76827 (267*2π)/2791 weeks
268-.09153 1.11038 (268*2π)/2791 weeks
269-.05805 1.25361 (269*2π)/2791 weeks
270.59852 1.70461 (270*2π)/2791 weeks
271-.6059 1.30347 (271*2π)/2791 weeks
272-.47204 .84405 (272*2π)/2791 weeks
273-1.38044 2.9206 (273*2π)/2791 weeks
274-.85139 2.45171 (274*2π)/2791 weeks
275-1.228 3.79864 (275*2π)/2791 weeks
276-.02357 4.63701 (276*2π)/2791 weeks
277-1.02255 9.82917 (277*2π)/2791 weeks

Problems, Comments, Suggestions? Click here to contact Greg Thatcher

Please read my Disclaimer





Copyright (c) 2013 Thatcher Development Software, LLC. All rights reserved. No claim to original U.S. Gov't works.