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# Fourier Analysis of TIER (TIER REIT)

TIER (TIER REIT) appears to have interesting cyclic behaviour every 15 weeks (.3927*sine), 11 weeks (.3095*sine), and 12 weeks (.233*sine).

TIER (TIER REIT) has an average price of 16.1 (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 7/23/2015 to 5/29/2018 for TIER (TIER REIT), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
016.09599   0
1.36144 -2.79892 (1*2π)/150150 weeks
2.23625 -1.13776 (2*2π)/15075 weeks
3-.00315 -.50396 (3*2π)/15050 weeks
4.13777 .06708 (4*2π)/15038 weeks
5.03689 -.82776 (5*2π)/15030 weeks
6.50689 -.21026 (6*2π)/15025 weeks
7.22316 -.4578 (7*2π)/15021 weeks
8.26134 -.16744 (8*2π)/15019 weeks
9.04817 -.12052 (9*2π)/15017 weeks
10.05018 -.39268 (10*2π)/15015 weeks
11.09242 -.22179 (11*2π)/15014 weeks
12.17762 .05362 (12*2π)/15013 weeks
13.07826 -.23303 (13*2π)/15012 weeks
14-.06204 -.30946 (14*2π)/15011 weeks
15.13344 -.13578 (15*2π)/15010 weeks
16-.14604 -.17296 (16*2π)/1509 weeks
17.02782 -.09632 (17*2π)/1509 weeks
18.03465 .01415 (18*2π)/1508 weeks
19-.10901 -.07048 (19*2π)/1508 weeks
20-.0541 .00405 (20*2π)/1508 weeks
21-.09237 -.04428 (21*2π)/1507 weeks
22.00282 -.0235 (22*2π)/1507 weeks
23-.05378 -.07338 (23*2π)/1507 weeks
24-.1469 -.04383 (24*2π)/1506 weeks
25-.1186 -.13023 (25*2π)/1506 weeks
26-.0533 -.11995 (26*2π)/1506 weeks
27-.05508 -.04688 (27*2π)/1506 weeks
28-.09682 -.04166 (28*2π)/1505 weeks
29-.10816 -.00084 (29*2π)/1505 weeks
30-.11223 -.03127 (30*2π)/1505 weeks
31-.10291 -.08635 (31*2π)/1505 weeks
32-.02803 -.14648 (32*2π)/1505 weeks
33-.03681 -.10858 (33*2π)/1505 weeks
34-.0432 -.11398 (34*2π)/1504 weeks
35-.06119 -.04922 (35*2π)/1504 weeks
36-.05876 -.04241 (36*2π)/1504 weeks
37.01111 .00224 (37*2π)/1504 weeks
38-.04564 -.00022 (38*2π)/1504 weeks
39.02861 -.12262 (39*2π)/1504 weeks
40-.02272 -.02073 (40*2π)/1504 weeks
41-.0427 -.11408 (41*2π)/1504 weeks
42-.03316 -.05113 (42*2π)/1504 weeks
43-.00006 -.02091 (43*2π)/1503 weeks
44-.00218 .04839 (44*2π)/1503 weeks
45-.06635 .04996 (45*2π)/1503 weeks
46-.04244 .02603 (46*2π)/1503 weeks
47-.03072 -.02078 (47*2π)/1503 weeks
48.00765 -.06556 (48*2π)/1503 weeks
49.02309 -.03038 (49*2π)/1503 weeks
50-.00272 -.0905 (50*2π)/1503 weeks
51-.0704 -.00295 (51*2π)/1503 weeks
52-.05578 -.05077 (52*2π)/1503 weeks
53-.13808 -.0461 (53*2π)/1503 weeks
54-.02735 -.05628 (54*2π)/1503 weeks
55-.02585 -.01263 (55*2π)/1503 weeks
56-.05857 -.00097 (56*2π)/1503 weeks
57-.04609 -.02182 (57*2π)/1503 weeks
58.00311 .00813 (58*2π)/1503 weeks
59-.01525 -.05473 (59*2π)/1503 weeks
60-.04434 -.00201 (60*2π)/1503 weeks
61-.06409 .03928 (61*2π)/1502 weeks
62-.02984 -.02648 (62*2π)/1502 weeks
63-.048 .05741 (63*2π)/1502 weeks
64-.01678 -.04126 (64*2π)/1502 weeks
65-.02829 -.00808 (65*2π)/1502 weeks
66-.02317 -.01806 (66*2π)/1502 weeks
67-.07527 .01159 (67*2π)/1502 weeks
68-.0277 -.04821 (68*2π)/1502 weeks
69-.05888 -.01281 (69*2π)/1502 weeks
70-.03357 -.00706 (70*2π)/1502 weeks
71-.03004 .06738 (71*2π)/1502 weeks
72-.05176 .00845 (72*2π)/1502 weeks
73-.01223 .01542 (73*2π)/1502 weeks
74-.05059 -.02179 (74*2π)/1502 weeks
75.03656   (75*2π)/1502 weeks
76-.05059 .02179 (76*2π)/1502 weeks
77-.01223 -.01542 (77*2π)/1502 weeks
78-.05176 -.00845 (78*2π)/1502 weeks
79-.03004 -.06738 (79*2π)/1502 weeks
80-.03357 .00706 (80*2π)/1502 weeks
81-.05888 .01281 (81*2π)/1502 weeks
82-.0277 .04821 (82*2π)/1502 weeks
83-.07527 -.01159 (83*2π)/1502 weeks
84-.02317 .01806 (84*2π)/1502 weeks
85-.02829 .00808 (85*2π)/1502 weeks
86-.01678 .04126 (86*2π)/1502 weeks
87-.048 -.05741 (87*2π)/1502 weeks
88-.02984 .02648 (88*2π)/1502 weeks
89-.06409 -.03928 (89*2π)/1502 weeks
90-.04434 .00201 (90*2π)/1502 weeks
91-.01525 .05473 (91*2π)/1502 weeks
92.00311 -.00813 (92*2π)/1502 weeks
93-.04609 .02182 (93*2π)/1502 weeks
94-.05857 .00097 (94*2π)/1502 weeks
95-.02585 .01263 (95*2π)/1502 weeks
96-.02735 .05628 (96*2π)/1502 weeks
97-.13808 .0461 (97*2π)/1502 weeks
98-.05578 .05077 (98*2π)/1502 weeks
99-.0704 .00295 (99*2π)/1502 weeks
100-.00272 .0905 (100*2π)/1502 weeks
101.02309 .03038 (101*2π)/1501 weeks
102.00765 .06556 (102*2π)/1501 weeks
103-.03072 .02078 (103*2π)/1501 weeks
104-.04244 -.02603 (104*2π)/1501 weeks
105-.06635 -.04996 (105*2π)/1501 weeks
106-.00218 -.04839 (106*2π)/1501 weeks
107-.00006 .02091 (107*2π)/1501 weeks
108-.03316 .05113 (108*2π)/1501 weeks
109-.0427 .11408 (109*2π)/1501 weeks
110-.02272 .02073 (110*2π)/1501 weeks
111.02861 .12262 (111*2π)/1501 weeks
112-.04564 .00022 (112*2π)/1501 weeks
113.01111 -.00224 (113*2π)/1501 weeks
114-.05876 .04241 (114*2π)/1501 weeks
115-.06119 .04922 (115*2π)/1501 weeks
116-.0432 .11398 (116*2π)/1501 weeks
117-.03681 .10858 (117*2π)/1501 weeks
118-.02803 .14648 (118*2π)/1501 weeks
119-.10291 .08635 (119*2π)/1501 weeks
120-.11223 .03127 (120*2π)/1501 weeks
121-.10816 .00084 (121*2π)/1501 weeks
122-.09682 .04166 (122*2π)/1501 weeks
123-.05508 .04688 (123*2π)/1501 weeks
124-.0533 .11995 (124*2π)/1501 weeks
125-.1186 .13023 (125*2π)/1501 weeks
126-.1469 .04383 (126*2π)/1501 weeks
127-.05378 .07338 (127*2π)/1501 weeks
128.00282 .0235 (128*2π)/1501 weeks
129-.09237 .04428 (129*2π)/1501 weeks
130-.0541 -.00405 (130*2π)/1501 weeks
131-.10901 .07048 (131*2π)/1501 weeks
132.03465 -.01415 (132*2π)/1501 weeks
133.02782 .09632 (133*2π)/1501 weeks
134-.14604 .17296 (134*2π)/1501 weeks
135.13344 .13578 (135*2π)/1501 weeks
136-.06204 .30946 (136*2π)/1501 weeks
137.07826 .23303 (137*2π)/1501 weeks
138.17762 -.05362 (138*2π)/1501 weeks
139.09242 .22179 (139*2π)/1501 weeks
140.05018 .39268 (140*2π)/1501 weeks
141.04817 .12052 (141*2π)/1501 weeks
142.26134 .16744 (142*2π)/1501 weeks
143.22316 .4578 (143*2π)/1501 weeks
144.50689 .21026 (144*2π)/1501 weeks
145.03689 .82776 (145*2π)/1501 weeks
146.13777 -.06708 (146*2π)/1501 weeks
147-.00315 .50396 (147*2π)/1501 weeks
148.23625 1.13776 (148*2π)/1501 weeks