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# Fourier Analysis of HTBI (HomeTrust Bancshares)

HTBI (HomeTrust Bancshares) appears to have interesting cyclic behaviour every 24 weeks (.6125*sine), 22 weeks (.5608*sine), and 31 weeks (.5085*sine).

HTBI (HomeTrust Bancshares) has an average price of 18.67 (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 7/11/2012 to 5/21/2018 for HTBI (HomeTrust Bancshares), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
018.66988   0
11.76765 -4.104 (1*2π)/307307 weeks
2-.42322 -2.10342 (2*2π)/307154 weeks
3-.86133 -1.74771 (3*2π)/307102 weeks
4.10877 -.79779 (4*2π)/30777 weeks
5.3792 -1.54367 (5*2π)/30761 weeks
6-.4189 -1.04969 (6*2π)/30751 weeks
7-.14056 -.56096 (7*2π)/30744 weeks
8-.07839 -.21589 (8*2π)/30738 weeks
9.29501 -.52792 (9*2π)/30734 weeks
10-.2099 -.5085 (10*2π)/30731 weeks
11-.17609 -.17333 (11*2π)/30728 weeks
12.24944 -.28394 (12*2π)/30726 weeks
13-.019 -.61254 (13*2π)/30724 weeks
14-.26671 -.56084 (14*2π)/30722 weeks
15-.36632 -.2687 (15*2π)/30720 weeks
16-.09138 -.07224 (16*2π)/30719 weeks
17.13398 -.40112 (17*2π)/30718 weeks
18-.102 -.24852 (18*2π)/30717 weeks
19-.01634 -.17171 (19*2π)/30716 weeks
20.0564 -.25105 (20*2π)/30715 weeks
21-.04652 -.25969 (21*2π)/30715 weeks
22-.13361 -.18797 (22*2π)/30714 weeks
23-.07751 -.1281 (23*2π)/30713 weeks
24.11831 -.1654 (24*2π)/30713 weeks
25-.04487 -.24039 (25*2π)/30712 weeks
26-.06372 -.07737 (26*2π)/30712 weeks
27.13415 -.12162 (27*2π)/30711 weeks
28.0434 -.27873 (28*2π)/30711 weeks
29-.07989 -.2409 (29*2π)/30711 weeks
30-.12065 -.19432 (30*2π)/30710 weeks
31-.12126 -.03257 (31*2π)/30710 weeks
32-.03267 -.13658 (32*2π)/30710 weeks
33-.11016 -.18908 (33*2π)/3079 weeks
34-.04618 -.12137 (34*2π)/3079 weeks
35-.07486 -.13392 (35*2π)/3079 weeks
36.02255 -.08968 (36*2π)/3079 weeks
37-.07317 -.13348 (37*2π)/3078 weeks
38-.04345 -.15058 (38*2π)/3078 weeks
39-.08984 -.13614 (39*2π)/3078 weeks
40-.07544 -.13661 (40*2π)/3078 weeks
41-.08339 -.09846 (41*2π)/3077 weeks
42-.01471 -.10596 (42*2π)/3077 weeks
43-.10531 -.13128 (43*2π)/3077 weeks
44-.08881 -.03354 (44*2π)/3077 weeks
45-.07781 -.08739 (45*2π)/3077 weeks
46-.03102 -.04785 (46*2π)/3077 weeks
47.00618 -.09702 (47*2π)/3077 weeks
48-.00506 -.08364 (48*2π)/3076 weeks
49-.06794 -.05981 (49*2π)/3076 weeks
50.0297 -.06693 (50*2π)/3076 weeks
51-.0483 -.13051 (51*2π)/3076 weeks
52-.07293 -.06579 (52*2π)/3076 weeks
53-.00248 -.08332 (53*2π)/3076 weeks
54-.0123 -.13567 (54*2π)/3076 weeks
55-.06893 -.1248 (55*2π)/3076 weeks
56-.05909 -.08239 (56*2π)/3075 weeks
57-.06011 -.10658 (57*2π)/3075 weeks
58-.0625 -.04756 (58*2π)/3075 weeks
59-.05805 -.08889 (59*2π)/3075 weeks
60-.06083 -.05853 (60*2π)/3075 weeks
61-.01785 -.08588 (61*2π)/3075 weeks
62-.07256 -.09327 (62*2π)/3075 weeks
63-.07538 -.08435 (63*2π)/3075 weeks
64-.08391 -.05915 (64*2π)/3075 weeks
65-.04296 -.04773 (65*2π)/3075 weeks
66-.0816 -.10095 (66*2π)/3075 weeks
67-.08969 -.0457 (67*2π)/3075 weeks
68-.08537 -.04611 (68*2π)/3075 weeks
69-.05426 -.00127 (69*2π)/3074 weeks
70-.04274 -.07479 (70*2π)/3074 weeks
71-.09733 -.08547 (71*2π)/3074 weeks
72-.05148 -.06135 (72*2π)/3074 weeks
73-.04987 -.05532 (73*2π)/3074 weeks
74-.07875 -.01897 (74*2π)/3074 weeks
75-.06095 .00499 (75*2π)/3074 weeks
76-.0523 -.03275 (76*2π)/3074 weeks
77.00313 -.02154 (77*2π)/3074 weeks
78-.02919 -.08261 (78*2π)/3074 weeks
79-.0416 -.04382 (79*2π)/3074 weeks
80-.01342 -.02492 (80*2π)/3074 weeks
81-.00448 -.04392 (81*2π)/3074 weeks
82-.03059 -.03867 (82*2π)/3074 weeks
83-.06741 -.08776 (83*2π)/3074 weeks
84-.0315 -.05886 (84*2π)/3074 weeks
85-.04891 -.05165 (85*2π)/3074 weeks
86-.07741 -.04935 (86*2π)/3074 weeks
87-.05922 -.01475 (87*2π)/3074 weeks
88-.0634 -.04984 (88*2π)/3073 weeks
89-.08412 -.04162 (89*2π)/3073 weeks
90-.08322 -.02571 (90*2π)/3073 weeks
91-.03307 .01796 (91*2π)/3073 weeks
92.00222 -.03386 (92*2π)/3073 weeks
93-.05738 -.09597 (93*2π)/3073 weeks
94-.07949 -.05576 (94*2π)/3073 weeks
95-.08319 -.04137 (95*2π)/3073 weeks
96-.03253 -.01329 (96*2π)/3073 weeks
97-.02267 -.04021 (97*2π)/3073 weeks
98-.06043 -.03641 (98*2π)/3073 weeks
99-.07515 -.00013 (99*2π)/3073 weeks
100-.03923 .02417 (100*2π)/3073 weeks
101-.00625 -.02411 (101*2π)/3073 weeks
102-.04636 -.04691 (102*2π)/3073 weeks
103-.02467 -.02782 (103*2π)/3073 weeks
104-.04732 -.02436 (104*2π)/3073 weeks
105-.05466 -.00674 (105*2π)/3073 weeks
106-.02955 -.01312 (106*2π)/3073 weeks
107-.03141 -.03732 (107*2π)/3073 weeks
108-.02403 -.05426 (108*2π)/3073 weeks
109-.08255 -.04225 (109*2π)/3073 weeks
110-.02574 -.00315 (110*2π)/3073 weeks
111-.01893 -.0446 (111*2π)/3073 weeks
112-.05638 -.02799 (112*2π)/3073 weeks
113-.05994 -.04996 (113*2π)/3073 weeks
114-.06642 -.04096 (114*2π)/3073 weeks
115-.04322 -.03135 (115*2π)/3073 weeks
116-.03799 -.03283 (116*2π)/3073 weeks
117-.03119 -.03022 (117*2π)/3073 weeks
118-.068 -.03856 (118*2π)/3073 weeks
119-.04359 .00521 (119*2π)/3073 weeks
120-.05386 -.04283 (120*2π)/3073 weeks
121-.0458 .00075 (121*2π)/3073 weeks
122-.0566 -.0267 (122*2π)/3073 weeks
123-.06853 -.02443 (123*2π)/3072 weeks
124-.07126 -.01547 (124*2π)/3072 weeks
125-.04683 -.01186 (125*2π)/3072 weeks
126-.03547 -.025 (126*2π)/3072 weeks
127-.07757 -.01537 (127*2π)/3072 weeks
128-.03502 .00516 (128*2π)/3072 weeks
129-.04447 -.01366 (129*2π)/3072 weeks
130-.06131 -.00033 (130*2π)/3072 weeks
131-.04541 .00695 (131*2π)/3072 weeks
132-.05019 -.01782 (132*2π)/3072 weeks
133-.02298 -.0339 (133*2π)/3072 weeks
134-.0792 -.02624 (134*2π)/3072 weeks
135-.05767 -.0037 (135*2π)/3072 weeks
136-.03772 -.01422 (136*2π)/3072 weeks
137-.06058 -.00242 (137*2π)/3072 weeks
138-.05814 .02469 (138*2π)/3072 weeks
139-.06405 .00898 (139*2π)/3072 weeks
140-.0449 -.00818 (140*2π)/3072 weeks
141-.07303 .01711 (141*2π)/3072 weeks
142-.02665 -.01821 (142*2π)/3072 weeks
143-.03254 .02835 (143*2π)/3072 weeks
144-.00161 -.03305 (144*2π)/3072 weeks
145-.08138 -.04452 (145*2π)/3072 weeks
146-.06252 .00793 (146*2π)/3072 weeks
147-.04095 -.00789 (147*2π)/3072 weeks
148-.05522 .00154 (148*2π)/3072 weeks
149-.03986 .00264 (149*2π)/3072 weeks
150-.0844 .03692 (150*2π)/3072 weeks
151-.00291 .04504 (151*2π)/3072 weeks
152-.03065 -.03299 (152*2π)/3072 weeks
153-.03442 .00897 (153*2π)/3072 weeks
154-.03442 -.00897 (154*2π)/3072 weeks
155-.03065 .03299 (155*2π)/3072 weeks
156-.00291 -.04504 (156*2π)/3072 weeks
157-.0844 -.03692 (157*2π)/3072 weeks
158-.03986 -.00264 (158*2π)/3072 weeks
159-.05522 -.00154 (159*2π)/3072 weeks
160-.04095 .00789 (160*2π)/3072 weeks
161-.06252 -.00793 (161*2π)/3072 weeks
162-.08138 .04452 (162*2π)/3072 weeks
163-.00161 .03305 (163*2π)/3072 weeks
164-.03254 -.02835 (164*2π)/3072 weeks
165-.02665 .01821 (165*2π)/3072 weeks
166-.07303 -.01711 (166*2π)/3072 weeks
167-.0449 .00818 (167*2π)/3072 weeks
168-.06405 -.00898 (168*2π)/3072 weeks
169-.05814 -.02469 (169*2π)/3072 weeks
170-.06058 .00242 (170*2π)/3072 weeks
171-.03772 .01422 (171*2π)/3072 weeks
172-.05767 .0037 (172*2π)/3072 weeks
173-.0792 .02624 (173*2π)/3072 weeks
174-.02298 .0339 (174*2π)/3072 weeks
175-.05019 .01782 (175*2π)/3072 weeks
176-.04541 -.00695 (176*2π)/3072 weeks
177-.06131 .00033 (177*2π)/3072 weeks
178-.04447 .01366 (178*2π)/3072 weeks
179-.03502 -.00516 (179*2π)/3072 weeks
180-.07757 .01537 (180*2π)/3072 weeks
181-.03547 .025 (181*2π)/3072 weeks
182-.04683 .01186 (182*2π)/3072 weeks
183-.07126 .01547 (183*2π)/3072 weeks
184-.06853 .02443 (184*2π)/3072 weeks
185-.0566 .0267 (185*2π)/3072 weeks
186-.0458 -.00075 (186*2π)/3072 weeks
187-.05386 .04283 (187*2π)/3072 weeks
188-.04359 -.00521 (188*2π)/3072 weeks
189-.068 .03856 (189*2π)/3072 weeks
190-.03119 .03022 (190*2π)/3072 weeks
191-.03799 .03283 (191*2π)/3072 weeks
192-.04322 .03135 (192*2π)/3072 weeks
193-.06642 .04096 (193*2π)/3072 weeks
194-.05994 .04996 (194*2π)/3072 weeks
195-.05638 .02799 (195*2π)/3072 weeks
196-.01893 .0446 (196*2π)/3072 weeks
197-.02574 .00315 (197*2π)/3072 weeks
198-.08255 .04225 (198*2π)/3072 weeks
199-.02403 .05426 (199*2π)/3072 weeks
200-.03141 .03732 (200*2π)/3072 weeks
201-.02955 .01312 (201*2π)/3072 weeks
202-.05466 .00674 (202*2π)/3072 weeks
203-.04732 .02436 (203*2π)/3072 weeks
204-.02467 .02782 (204*2π)/3072 weeks
205-.04636 .04691 (205*2π)/3071 weeks
206-.00625 .02411 (206*2π)/3071 weeks
207-.03923 -.02417 (207*2π)/3071 weeks
208-.07515 .00013 (208*2π)/3071 weeks
209-.06043 .03641 (209*2π)/3071 weeks
210-.02267 .04021 (210*2π)/3071 weeks
211-.03253 .01329 (211*2π)/3071 weeks
212-.08319 .04137 (212*2π)/3071 weeks
213-.07949 .05576 (213*2π)/3071 weeks
214-.05738 .09597 (214*2π)/3071 weeks
215.00222 .03386 (215*2π)/3071 weeks
216-.03307 -.01796 (216*2π)/3071 weeks
217-.08322 .02571 (217*2π)/3071 weeks
218-.08412 .04162 (218*2π)/3071 weeks
219-.0634 .04984 (219*2π)/3071 weeks
220-.05922 .01475 (220*2π)/3071 weeks
221-.07741 .04935 (221*2π)/3071 weeks
222-.04891 .05165 (222*2π)/3071 weeks
223-.0315 .05886 (223*2π)/3071 weeks
224-.06741 .08776 (224*2π)/3071 weeks
225-.03059 .03867 (225*2π)/3071 weeks
226-.00448 .04392 (226*2π)/3071 weeks
227-.01342 .02492 (227*2π)/3071 weeks
228-.0416 .04382 (228*2π)/3071 weeks
229-.02919 .08261 (229*2π)/3071 weeks
230.00313 .02154 (230*2π)/3071 weeks
231-.0523 .03275 (231*2π)/3071 weeks
232-.06095 -.00499 (232*2π)/3071 weeks
233-.07875 .01897 (233*2π)/3071 weeks
234-.04987 .05532 (234*2π)/3071 weeks
235-.05148 .06135 (235*2π)/3071 weeks
236-.09733 .08547 (236*2π)/3071 weeks
237-.04274 .07479 (237*2π)/3071 weeks
238-.05426 .00127 (238*2π)/3071 weeks
239-.08537 .04611 (239*2π)/3071 weeks
240-.08969 .0457 (240*2π)/3071 weeks
241-.0816 .10095 (241*2π)/3071 weeks
242-.04296 .04773 (242*2π)/3071 weeks
243-.08391 .05915 (243*2π)/3071 weeks
244-.07538 .08435 (244*2π)/3071 weeks
245-.07256 .09327 (245*2π)/3071 weeks
246-.01785 .08588 (246*2π)/3071 weeks
247-.06083 .05853 (247*2π)/3071 weeks
248-.05805 .08889 (248*2π)/3071 weeks
249-.0625 .04756 (249*2π)/3071 weeks
250-.06011 .10658 (250*2π)/3071 weeks
251-.05909 .08239 (251*2π)/3071 weeks
252-.06893 .1248 (252*2π)/3071 weeks
253-.0123 .13567 (253*2π)/3071 weeks
254-.00248 .08332 (254*2π)/3071 weeks
255-.07293 .06579 (255*2π)/3071 weeks
256-.0483 .13051 (256*2π)/3071 weeks
257.0297 .06693 (257*2π)/3071 weeks
258-.06794 .05981 (258*2π)/3071 weeks
259-.00506 .08364 (259*2π)/3071 weeks
260.00618 .09702 (260*2π)/3071 weeks
261-.03102 .04785 (261*2π)/3071 weeks
262-.07781 .08739 (262*2π)/3071 weeks
263-.08881 .03354 (263*2π)/3071 weeks
264-.10531 .13128 (264*2π)/3071 weeks
265-.01471 .10596 (265*2π)/3071 weeks
266-.08339 .09846 (266*2π)/3071 weeks
267-.07544 .13661 (267*2π)/3071 weeks
268-.08984 .13614 (268*2π)/3071 weeks
269-.04345 .15058 (269*2π)/3071 weeks
270-.07317 .13348 (270*2π)/3071 weeks
271.02255 .08968 (271*2π)/3071 weeks
272-.07486 .13392 (272*2π)/3071 weeks
273-.04618 .12137 (273*2π)/3071 weeks
274-.11016 .18908 (274*2π)/3071 weeks
275-.03267 .13658 (275*2π)/3071 weeks
276-.12126 .03257 (276*2π)/3071 weeks
277-.12065 .19432 (277*2π)/3071 weeks
278-.07989 .2409 (278*2π)/3071 weeks
279.0434 .27873 (279*2π)/3071 weeks
280.13415 .12162 (280*2π)/3071 weeks
281-.06372 .07737 (281*2π)/3071 weeks
282-.04487 .24039 (282*2π)/3071 weeks
283.11831 .1654 (283*2π)/3071 weeks
284-.07751 .1281 (284*2π)/3071 weeks
285-.13361 .18797 (285*2π)/3071 weeks
286-.04652 .25969 (286*2π)/3071 weeks
287.0564 .25105 (287*2π)/3071 weeks
288-.01634 .17171 (288*2π)/3071 weeks
289-.102 .24852 (289*2π)/3071 weeks
290.13398 .40112 (290*2π)/3071 weeks
291-.09138 .07224 (291*2π)/3071 weeks
292-.36632 .2687 (292*2π)/3071 weeks
293-.26671 .56084 (293*2π)/3071 weeks
294-.019 .61254 (294*2π)/3071 weeks
295.24944 .28394 (295*2π)/3071 weeks
296-.17609 .17333 (296*2π)/3071 weeks
297-.2099 .5085 (297*2π)/3071 weeks
298.29501 .52792 (298*2π)/3071 weeks
299-.07839 .21589 (299*2π)/3071 weeks
300-.14056 .56096 (300*2π)/3071 weeks
301-.4189 1.04969 (301*2π)/3071 weeks
302.3792 1.54367 (302*2π)/3071 weeks
303.10877 .79779 (303*2π)/3071 weeks
304-.86133 1.74771 (304*2π)/3071 weeks
305-.42322 2.10342 (305*2π)/3071 weeks