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# Fourier Analysis of TMHC (Taylor Morrison Home Corporation)

TMHC (Taylor Morrison Home Corporation) appears to have interesting cyclic behaviour every 19 weeks (.446*cosine), 22 weeks (.3866*sine), and 12 weeks (.3504*cosine).

TMHC (Taylor Morrison Home Corporation) has an average price of 20.17 (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 4/10/2013 to 3/19/2018 for TMHC (Taylor Morrison Home Corporation), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
020.16618   0
13.69402 .74145 (1*2π)/259259 weeks
2.61214 -1.28695 (2*2π)/259130 weeks
3-.63575 .74647 (3*2π)/25986 weeks
4.86687 -.84089 (4*2π)/25965 weeks
5.47643 .45199 (5*2π)/25952 weeks
6.5861 .09482 (6*2π)/25943 weeks
7-.20991 -.10304 (7*2π)/25937 weeks
8-.02375 -.18679 (8*2π)/25932 weeks
9-.48004 -.12982 (9*2π)/25929 weeks
10-.141 .26675 (10*2π)/25926 weeks
11-.08185 .25419 (11*2π)/25924 weeks
12.09834 .3866 (12*2π)/25922 weeks
13-.18216 .1199 (13*2π)/25920 weeks
14-.44605 .12855 (14*2π)/25919 weeks
15.07944 -.16928 (15*2π)/25917 weeks
16-.16105 -.02564 (16*2π)/25916 weeks
17-.19706 .11746 (17*2π)/25915 weeks
18-.02177 .1465 (18*2π)/25914 weeks
19-.11235 .23763 (19*2π)/25914 weeks
20.13689 -.12834 (20*2π)/25913 weeks
21.21036 .17083 (21*2π)/25912 weeks
22.35042 .18475 (22*2π)/25912 weeks
23-.00767 .21057 (23*2π)/25911 weeks
24-.01845 .01344 (24*2π)/25911 weeks
25.02546 .01419 (25*2π)/25910 weeks
26-.08435 .12113 (26*2π)/25910 weeks
27-.12024 -.20286 (27*2π)/25910 weeks
28.15244 .002 (28*2π)/2599 weeks
29.09624 .02141 (29*2π)/2599 weeks
30-.08497 .05327 (30*2π)/2599 weeks
31-.11731 -.3052 (31*2π)/2598 weeks
32-.04557 -.01061 (32*2π)/2598 weeks
33.05224 -.04196 (33*2π)/2598 weeks
34.02269 -.20045 (34*2π)/2598 weeks
35-.03635 -.0419 (35*2π)/2597 weeks
36-.06679 .05277 (36*2π)/2597 weeks
37-.12063 .04122 (37*2π)/2597 weeks
38.02363 .11207 (38*2π)/2597 weeks
39-.2241 -.11472 (39*2π)/2597 weeks
40.10692 .04653 (40*2π)/2596 weeks
41.02751 .19012 (41*2π)/2596 weeks
42-.08624 .03814 (42*2π)/2596 weeks
43.05014 .02115 (43*2π)/2596 weeks
44-.02645 -.01804 (44*2π)/2596 weeks
45-.05634 -.05055 (45*2π)/2596 weeks
46.03826 .07404 (46*2π)/2596 weeks
47.08041 -.0054 (47*2π)/2596 weeks
48-.00905 .02557 (48*2π)/2595 weeks
49.06469 .03911 (49*2π)/2595 weeks
50-.10222 .05666 (50*2π)/2595 weeks
51.00577 -.1436 (51*2π)/2595 weeks
52-.06537 -.0665 (52*2π)/2595 weeks
53-.05838 -.00858 (53*2π)/2595 weeks
54-.03304 -.14899 (54*2π)/2595 weeks
55.15162 -.07609 (55*2π)/2595 weeks
56.02398 -.03449 (56*2π)/2595 weeks
57.00454 .05389 (57*2π)/2595 weeks
58-.03752 .01046 (58*2π)/2594 weeks
59-.02573 .0468 (59*2π)/2594 weeks
60-.06945 -.07063 (60*2π)/2594 weeks
61.00557 -.03847 (61*2π)/2594 weeks
62.04396 .02872 (62*2π)/2594 weeks
63-.06952 .06376 (63*2π)/2594 weeks
64-.01295 -.06487 (64*2π)/2594 weeks
65-.08743 -.07936 (65*2π)/2594 weeks
66.06455 .04268 (66*2π)/2594 weeks
67-.12517 -.0047 (67*2π)/2594 weeks
68-.01107 .01181 (68*2π)/2594 weeks
69-.03711 -.00913 (69*2π)/2594 weeks
70.00343 -.03137 (70*2π)/2594 weeks
71-.02856 -.0514 (71*2π)/2594 weeks
72-.02458 .00968 (72*2π)/2594 weeks
73.03135 -.12734 (73*2π)/2594 weeks
74-.01278 .01442 (74*2π)/2594 weeks
75-.02785 .01652 (75*2π)/2593 weeks
76.01694 -.05629 (76*2π)/2593 weeks
77.02274 -.0364 (77*2π)/2593 weeks
78.02587 -.01861 (78*2π)/2593 weeks
79.04389 .01974 (79*2π)/2593 weeks
80.05366 .08828 (80*2π)/2593 weeks
81.01328 .04334 (81*2π)/2593 weeks
82.05104 .03228 (82*2π)/2593 weeks
83.00261 .05158 (83*2π)/2593 weeks
84-.00094 .03047 (84*2π)/2593 weeks
85.05529 .01962 (85*2π)/2593 weeks
86.02125 .07141 (86*2π)/2593 weeks
87-.05847 .00296 (87*2π)/2593 weeks
88.03501 -.00104 (88*2π)/2593 weeks
89.00595 .0181 (89*2π)/2593 weeks
90-.00984 -.01387 (90*2π)/2593 weeks
91-.01085 -.01004 (91*2π)/2593 weeks
92.04461 -.02553 (92*2π)/2593 weeks
93.05796 -.07264 (93*2π)/2593 weeks
94.08283 -.00966 (94*2π)/2593 weeks
95.04063 .07168 (95*2π)/2593 weeks
96-.07242 -.0101 (96*2π)/2593 weeks
97.032 -.03446 (97*2π)/2593 weeks
98-.02358 .00601 (98*2π)/2593 weeks
99-.02795 .00718 (99*2π)/2593 weeks
100.00749 -.0207 (100*2π)/2593 weeks
101.0474 .01044 (101*2π)/2593 weeks
102.00024 .08579 (102*2π)/2593 weeks
103.00162 -.03256 (103*2π)/2593 weeks
104-.05519 -.00635 (104*2π)/2592 weeks
105.00101 .02134 (105*2π)/2592 weeks
106.02155 .03421 (106*2π)/2592 weeks
107.00768 -.03526 (107*2π)/2592 weeks
108.02875 -.02475 (108*2π)/2592 weeks
109-.03197 .0138 (109*2π)/2592 weeks
110.04937 -.00257 (110*2π)/2592 weeks
111.05102 -.02383 (111*2π)/2592 weeks
112.00074 -.02756 (112*2π)/2592 weeks
113-.01744 .01315 (113*2π)/2592 weeks
114-.00022 .05317 (114*2π)/2592 weeks
115-.01517 -.11053 (115*2π)/2592 weeks
116-.03767 -.10877 (116*2π)/2592 weeks
117.02899 -.01396 (117*2π)/2592 weeks
118.03384 .03848 (118*2π)/2592 weeks
119-.01381 -.03195 (119*2π)/2592 weeks
120.02022 -.03065 (120*2π)/2592 weeks
121.0089 -.01779 (121*2π)/2592 weeks
122.02988 .05176 (122*2π)/2592 weeks
123-.01293 .0194 (123*2π)/2592 weeks
124.01966 .03439 (124*2π)/2592 weeks
125-.05322 .00079 (125*2π)/2592 weeks
126.01883 .02465 (126*2π)/2592 weeks
127.01557 -.02798 (127*2π)/2592 weeks
128-.01025 .00919 (128*2π)/2592 weeks
129.02697 -.00012 (129*2π)/2592 weeks
130.02697 .00012 (130*2π)/2592 weeks
131-.01025 -.00919 (131*2π)/2592 weeks
132.01557 .02798 (132*2π)/2592 weeks
133.01883 -.02465 (133*2π)/2592 weeks
134-.05322 -.00079 (134*2π)/2592 weeks
135.01966 -.03439 (135*2π)/2592 weeks
136-.01293 -.0194 (136*2π)/2592 weeks
137.02988 -.05176 (137*2π)/2592 weeks
138.0089 .01779 (138*2π)/2592 weeks
139.02022 .03065 (139*2π)/2592 weeks
140-.01381 .03195 (140*2π)/2592 weeks
141.03384 -.03848 (141*2π)/2592 weeks
142.02899 .01396 (142*2π)/2592 weeks
143-.03767 .10877 (143*2π)/2592 weeks
144-.01517 .11053 (144*2π)/2592 weeks
145-.00022 -.05317 (145*2π)/2592 weeks
146-.01744 -.01315 (146*2π)/2592 weeks
147.00074 .02756 (147*2π)/2592 weeks
148.05102 .02383 (148*2π)/2592 weeks
149.04937 .00257 (149*2π)/2592 weeks
150-.03197 -.0138 (150*2π)/2592 weeks
151.02875 .02475 (151*2π)/2592 weeks
152.00768 .03526 (152*2π)/2592 weeks
153.02155 -.03421 (153*2π)/2592 weeks
154.00101 -.02134 (154*2π)/2592 weeks
155-.05519 .00635 (155*2π)/2592 weeks
156.00162 .03256 (156*2π)/2592 weeks
157.00024 -.08579 (157*2π)/2592 weeks
158.0474 -.01044 (158*2π)/2592 weeks
159.00749 .0207 (159*2π)/2592 weeks
160-.02795 -.00718 (160*2π)/2592 weeks
161-.02358 -.00601 (161*2π)/2592 weeks
162.032 .03446 (162*2π)/2592 weeks
163-.07242 .0101 (163*2π)/2592 weeks
164.04063 -.07168 (164*2π)/2592 weeks
165.08283 .00966 (165*2π)/2592 weeks
166.05796 .07264 (166*2π)/2592 weeks
167.04461 .02553 (167*2π)/2592 weeks
168-.01085 .01004 (168*2π)/2592 weeks
169-.00984 .01387 (169*2π)/2592 weeks
170.00595 -.0181 (170*2π)/2592 weeks
171.03501 .00104 (171*2π)/2592 weeks
172-.05847 -.00296 (172*2π)/2592 weeks
173.02125 -.07141 (173*2π)/2591 weeks
174.05529 -.01962 (174*2π)/2591 weeks
175-.00094 -.03047 (175*2π)/2591 weeks
176.00261 -.05158 (176*2π)/2591 weeks
177.05104 -.03228 (177*2π)/2591 weeks
178.01328 -.04334 (178*2π)/2591 weeks
179.05366 -.08828 (179*2π)/2591 weeks
180.04389 -.01974 (180*2π)/2591 weeks
181.02587 .01861 (181*2π)/2591 weeks
182.02274 .0364 (182*2π)/2591 weeks
183.01694 .05629 (183*2π)/2591 weeks
184-.02785 -.01652 (184*2π)/2591 weeks
185-.01278 -.01442 (185*2π)/2591 weeks
186.03135 .12734 (186*2π)/2591 weeks
187-.02458 -.00968 (187*2π)/2591 weeks
188-.02856 .0514 (188*2π)/2591 weeks
189.00343 .03137 (189*2π)/2591 weeks
190-.03711 .00913 (190*2π)/2591 weeks
191-.01107 -.01181 (191*2π)/2591 weeks
192-.12517 .0047 (192*2π)/2591 weeks
193.06455 -.04268 (193*2π)/2591 weeks
194-.08743 .07936 (194*2π)/2591 weeks
195-.01295 .06487 (195*2π)/2591 weeks
196-.06952 -.06376 (196*2π)/2591 weeks
197.04396 -.02872 (197*2π)/2591 weeks
198.00557 .03847 (198*2π)/2591 weeks
199-.06945 .07063 (199*2π)/2591 weeks
200-.02573 -.0468 (200*2π)/2591 weeks
201-.03752 -.01046 (201*2π)/2591 weeks
202.00454 -.05389 (202*2π)/2591 weeks
203.02398 .03449 (203*2π)/2591 weeks
204.15162 .07609 (204*2π)/2591 weeks
205-.03304 .14899 (205*2π)/2591 weeks
206-.05838 .00858 (206*2π)/2591 weeks
207-.06537 .0665 (207*2π)/2591 weeks
208.00577 .1436 (208*2π)/2591 weeks
209-.10222 -.05666 (209*2π)/2591 weeks
210.06469 -.03911 (210*2π)/2591 weeks
211-.00905 -.02557 (211*2π)/2591 weeks
212.08041 .0054 (212*2π)/2591 weeks
213.03826 -.07404 (213*2π)/2591 weeks
214-.05634 .05055 (214*2π)/2591 weeks
215-.02645 .01804 (215*2π)/2591 weeks
216.05014 -.02115 (216*2π)/2591 weeks
217-.08624 -.03814 (217*2π)/2591 weeks
218.02751 -.19012 (218*2π)/2591 weeks
219.10692 -.04653 (219*2π)/2591 weeks
220-.2241 .11472 (220*2π)/2591 weeks
221.02363 -.11207 (221*2π)/2591 weeks
222-.12063 -.04122 (222*2π)/2591 weeks
223-.06679 -.05277 (223*2π)/2591 weeks
224-.03635 .0419 (224*2π)/2591 weeks
225.02269 .20045 (225*2π)/2591 weeks
226.05224 .04196 (226*2π)/2591 weeks
227-.04557 .01061 (227*2π)/2591 weeks
228-.11731 .3052 (228*2π)/2591 weeks
229-.08497 -.05327 (229*2π)/2591 weeks
230.09624 -.02141 (230*2π)/2591 weeks
231.15244 -.002 (231*2π)/2591 weeks
232-.12024 .20286 (232*2π)/2591 weeks
233-.08435 -.12113 (233*2π)/2591 weeks
234.02546 -.01419 (234*2π)/2591 weeks
235-.01845 -.01344 (235*2π)/2591 weeks
236-.00767 -.21057 (236*2π)/2591 weeks
237.35042 -.18475 (237*2π)/2591 weeks
238.21036 -.17083 (238*2π)/2591 weeks
239.13689 .12834 (239*2π)/2591 weeks
240-.11235 -.23763 (240*2π)/2591 weeks
241-.02177 -.1465 (241*2π)/2591 weeks
242-.19706 -.11746 (242*2π)/2591 weeks
243-.16105 .02564 (243*2π)/2591 weeks
244.07944 .16928 (244*2π)/2591 weeks
245-.44605 -.12855 (245*2π)/2591 weeks
246-.18216 -.1199 (246*2π)/2591 weeks
247.09834 -.3866 (247*2π)/2591 weeks
248-.08185 -.25419 (248*2π)/2591 weeks
249-.141 -.26675 (249*2π)/2591 weeks
250-.48004 .12982 (250*2π)/2591 weeks
251-.02375 .18679 (251*2π)/2591 weeks
252-.20991 .10304 (252*2π)/2591 weeks
253.5861 -.09482 (253*2π)/2591 weeks
254.47643 -.45199 (254*2π)/2591 weeks
255.86687 .84089 (255*2π)/2591 weeks
256-.63575 -.74647 (256*2π)/2591 weeks
257.61214 1.28695 (257*2π)/2591 weeks