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# Fourier Analysis of CLNY (Colony Capital, Inc. Class A Co)

CLNY (Colony Capital, Inc. Class A Co) appears to have interesting cyclic behaviour every 27 weeks (.3852*sine), 32 weeks (.3833*sine), and 38 weeks (.2601*sine).

CLNY (Colony Capital, Inc. Class A Co) has an average price of 15.27 (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 9/24/2009 to 1/9/2017 for CLNY (Colony Capital, Inc. Class A Co), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
015.2718   0
1-.51688 -4.3296 (1*2π)/382382 weeks
2-.23575 -.18678 (2*2π)/382191 weeks
3-.17716 .43046 (3*2π)/382127 weeks
4.91747 -.93271 (4*2π)/38296 weeks
5.67002 -.6561 (5*2π)/38276 weeks
6.1614 -.5074 (6*2π)/38264 weeks
7-.26945 .02388 (7*2π)/38255 weeks
8.07994 -.53975 (8*2π)/38248 weeks
9-.06885 -.39789 (9*2π)/38242 weeks
10-.01347 -.26013 (10*2π)/38238 weeks
11-.10004 -.19364 (11*2π)/38235 weeks
12.25948 -.38326 (12*2π)/38232 weeks
13.14678 -.17719 (13*2π)/38229 weeks
14-.11591 -.38522 (14*2π)/38227 weeks
15-.03517 -.36048 (15*2π)/38225 weeks
16-.11947 -.15666 (16*2π)/38224 weeks
17.05158 .05043 (17*2π)/38222 weeks
18-.02702 -.21428 (18*2π)/38221 weeks
19-.07693 -.1646 (19*2π)/38220 weeks
20.18193 -.1424 (20*2π)/38219 weeks
21.03891 -.2546 (21*2π)/38218 weeks
22-.01567 -.19254 (22*2π)/38217 weeks
23-.11192 -.231 (23*2π)/38217 weeks
24-.05415 -.17492 (24*2π)/38216 weeks
25-.00026 -.1048 (25*2π)/38215 weeks
26-.02918 -.14668 (26*2π)/38215 weeks
27-.05702 -.01929 (27*2π)/38214 weeks
28.00244 -.13995 (28*2π)/38214 weeks
29-.04926 .01566 (29*2π)/38213 weeks
30-.00779 -.0861 (30*2π)/38213 weeks
31.03066 -.0348 (31*2π)/38212 weeks
32.00815 -.08426 (32*2π)/38212 weeks
33-.05183 -.00571 (33*2π)/38212 weeks
34.07873 -.11054 (34*2π)/38211 weeks
35-.0221 -.117 (35*2π)/38211 weeks
36.0175 -.09545 (36*2π)/38211 weeks
37-.00854 -.07131 (37*2π)/38210 weeks
38-.06846 -.14262 (38*2π)/38210 weeks
39-.15069 -.03168 (39*2π)/38210 weeks
40.01765 -.02553 (40*2π)/38210 weeks
41-.04713 -.09964 (41*2π)/3829 weeks
42-.02511 -.02374 (42*2π)/3829 weeks
43-.05877 -.02394 (43*2π)/3829 weeks
44.02867 -.12761 (44*2π)/3829 weeks
45-.03836 -.11003 (45*2π)/3828 weeks
46-.0111 -.01602 (46*2π)/3828 weeks
47-.05496 .00239 (47*2π)/3828 weeks
48.01615 -.1155 (48*2π)/3828 weeks
49-.03095 -.06344 (49*2π)/3828 weeks
50.01733 -.07619 (50*2π)/3828 weeks
51-.06172 -.10831 (51*2π)/3827 weeks
52-.03069 -.10979 (52*2π)/3827 weeks
53-.00511 -.01183 (53*2π)/3827 weeks
54-.03453 -.02361 (54*2π)/3827 weeks
55-.02915 -.08213 (55*2π)/3827 weeks
56-.00037 -.02824 (56*2π)/3827 weeks
57.00679 -.01897 (57*2π)/3827 weeks
58-.0572 -.07512 (58*2π)/3827 weeks
59.01736 -.06857 (59*2π)/3826 weeks
60.04294 -.02678 (60*2π)/3826 weeks
61-.0236 -.06499 (61*2π)/3826 weeks
62-.02125 -.07577 (62*2π)/3826 weeks
63-.01767 -.05642 (63*2π)/3826 weeks
64-.0353 -.09069 (64*2π)/3826 weeks
65-.06041 -.06187 (65*2π)/3826 weeks
66-.03938 -.06329 (66*2π)/3826 weeks
67-.00783 -.03266 (67*2π)/3826 weeks
68-.01318 -.06096 (68*2π)/3826 weeks
69-.00104 -.04039 (69*2π)/3826 weeks
70.01054 -.05449 (70*2π)/3825 weeks
71-.02622 -.06228 (71*2π)/3825 weeks
72-.04319 -.01561 (72*2π)/3825 weeks
73.00462 -.04235 (73*2π)/3825 weeks
74-.04943 -.02896 (74*2π)/3825 weeks
75-.04237 -.02959 (75*2π)/3825 weeks
76-.01707 -.045 (76*2π)/3825 weeks
77-.02899 -.08944 (77*2π)/3825 weeks
78-.06025 -.09056 (78*2π)/3825 weeks
79-.03803 -.03485 (79*2π)/3825 weeks
80-.05164 -.01698 (80*2π)/3825 weeks
81-.05574 .00587 (81*2π)/3825 weeks
82-.04812 -.0117 (82*2π)/3825 weeks
83-.00181 -.01966 (83*2π)/3825 weeks
84-.02421 -.07487 (84*2π)/3825 weeks
85-.05123 -.02332 (85*2π)/3824 weeks
86-.03125 -.03019 (86*2π)/3824 weeks
87-.03914 -.01647 (87*2π)/3824 weeks
88-.00993 -.02641 (88*2π)/3824 weeks
89-.03075 -.04564 (89*2π)/3824 weeks
90-.03103 -.02836 (90*2π)/3824 weeks
91-.01329 -.0271 (91*2π)/3824 weeks
92-.00468 -.03418 (92*2π)/3824 weeks
93.00562 -.02888 (93*2π)/3824 weeks
94-.07261 -.03652 (94*2π)/3824 weeks
95-.03339 .00574 (95*2π)/3824 weeks
96-.00389 -.01055 (96*2π)/3824 weeks
97.02338 -.05781 (97*2π)/3824 weeks
98-.02307 -.05522 (98*2π)/3824 weeks
99-.01925 -.04552 (99*2π)/3824 weeks
100-.02086 -.05535 (100*2π)/3824 weeks
101-.04716 -.044 (101*2π)/3824 weeks
102-.04924 -.00876 (102*2π)/3824 weeks
103-.01104 -.02958 (103*2π)/3824 weeks
104-.01196 -.01944 (104*2π)/3824 weeks
105-.05598 -.03269 (105*2π)/3824 weeks
106-.04713 -.01554 (106*2π)/3824 weeks
107-.05264 -.03354 (107*2π)/3824 weeks
108-.04763 -.01886 (108*2π)/3824 weeks
109-.04631 -.00822 (109*2π)/3824 weeks
110-.00707 -.00095 (110*2π)/3823 weeks
111-.02236 -.01472 (111*2π)/3823 weeks
112-.03128 -.00902 (112*2π)/3823 weeks
113-.03018 -.01231 (113*2π)/3823 weeks
114-.02139 .02022 (114*2π)/3823 weeks
115-.00231 -.05158 (115*2π)/3823 weeks
116-.01798 -.02239 (116*2π)/3823 weeks
117-.03943 -.0244 (117*2π)/3823 weeks
118-.03014 -.01435 (118*2π)/3823 weeks
119-.03146 .01217 (119*2π)/3823 weeks
120-.00436 -.01051 (120*2π)/3823 weeks
121-.03565 -.03146 (121*2π)/3823 weeks
122-.03175 -.0213 (122*2π)/3823 weeks
123-.00379 -.01739 (123*2π)/3823 weeks
124-.04025 -.05559 (124*2π)/3823 weeks
125-.05959 -.00012 (125*2π)/3823 weeks
126-.03462 -.0177 (126*2π)/3823 weeks
127-.00579 -.0046 (127*2π)/3823 weeks
128-.02411 -.01114 (128*2π)/3823 weeks
129-.0283 -.00512 (129*2π)/3823 weeks
130-.03776 -.01298 (130*2π)/3823 weeks
131-.04649 -.00316 (131*2π)/3823 weeks
132-.06167 .00693 (132*2π)/3823 weeks
133-.01879 .00375 (133*2π)/3823 weeks
134-.02663 .00811 (134*2π)/3823 weeks
135-.03234 .00001 (135*2π)/3823 weeks
136-.0263 -.03431 (136*2π)/3823 weeks
137-.02274 .00004 (137*2π)/3823 weeks
138-.00834 -.00487 (138*2π)/3823 weeks
139-.05328 -.00946 (139*2π)/3823 weeks
140-.01831 -.02092 (140*2π)/3823 weeks
141-.04576 .00257 (141*2π)/3823 weeks
142-.01927 .00545 (142*2π)/3823 weeks
143-.007 -.01512 (143*2π)/3823 weeks
144-.01343 -.0133 (144*2π)/3823 weeks
145-.02727 -.00862 (145*2π)/3823 weeks
146-.01584 .00372 (146*2π)/3823 weeks
147-.00865 -.034 (147*2π)/3823 weeks
148-.02031 -.02438 (148*2π)/3823 weeks
149-.04426 -.00376 (149*2π)/3823 weeks
150-.03393 -.0077 (150*2π)/3823 weeks
151-.02442 -.00293 (151*2π)/3823 weeks
152-.01276 -.00667 (152*2π)/3823 weeks
153-.02185 -.00901 (153*2π)/3822 weeks
154-.02593 .00222 (154*2π)/3822 weeks
155-.03506 -.01958 (155*2π)/3822 weeks
156-.03332 -.02071 (156*2π)/3822 weeks
157-.01821 -.01854 (157*2π)/3822 weeks
158-.03744 -.00429 (158*2π)/3822 weeks
159-.0315 -.0279 (159*2π)/3822 weeks
160-.04288 -.04155 (160*2π)/3822 weeks
161-.06654 -.00492 (161*2π)/3822 weeks
162-.05406 .01525 (162*2π)/3822 weeks
163-.01625 .00719 (163*2π)/3822 weeks
164-.024 -.00377 (164*2π)/3822 weeks
165-.0377 .02346 (165*2π)/3822 weeks
166-.06594 .00568 (166*2π)/3822 weeks
167-.02419 .01942 (167*2π)/3822 weeks
168-.01559 .03317 (168*2π)/3822 weeks
169-.02479 .01663 (169*2π)/3822 weeks
170-.0104 -.00849 (170*2π)/3822 weeks
171-.008 .00882 (171*2π)/3822 weeks
172-.01671 .00068 (172*2π)/3822 weeks
173-.02823 .00072 (173*2π)/3822 weeks
174-.02257 .00039 (174*2π)/3822 weeks
175-.01694 .0066 (175*2π)/3822 weeks
176-.02315 .01244 (176*2π)/3822 weeks
177-.01255 -.00508 (177*2π)/3822 weeks
178-.03058 .0139 (178*2π)/3822 weeks
179-.00606 .00715 (179*2π)/3822 weeks
180-.02966 .01594 (180*2π)/3822 weeks
181-.01344 -.02942 (181*2π)/3822 weeks
182-.0169 .03299 (182*2π)/3822 weeks
183-.0032 -.04267 (183*2π)/3822 weeks
184-.03208 -.01901 (184*2π)/3822 weeks
185-.02689 -.019 (185*2π)/3822 weeks
186-.04236 .00646 (186*2π)/3822 weeks
187-.02281 .01273 (187*2π)/3822 weeks
188-.01236 .03983 (188*2π)/3822 weeks
189-.00701 -.00492 (189*2π)/3822 weeks
190-.01373 .01385 (190*2π)/3822 weeks
191.00183   (191*2π)/3822 weeks
192-.01373 -.01385 (192*2π)/3822 weeks
193-.00701 .00492 (193*2π)/3822 weeks
194-.01236 -.03983 (194*2π)/3822 weeks
195-.02281 -.01273 (195*2π)/3822 weeks
196-.04236 -.00646 (196*2π)/3822 weeks
197-.02689 .019 (197*2π)/3822 weeks
198-.03208 .01901 (198*2π)/3822 weeks
199-.0032 .04267 (199*2π)/3822 weeks
200-.0169 -.03299 (200*2π)/3822 weeks
201-.01344 .02942 (201*2π)/3822 weeks
202-.02966 -.01594 (202*2π)/3822 weeks
203-.00606 -.00715 (203*2π)/3822 weeks
204-.03058 -.0139 (204*2π)/3822 weeks
205-.01255 .00508 (205*2π)/3822 weeks
206-.02315 -.01244 (206*2π)/3822 weeks
207-.01694 -.0066 (207*2π)/3822 weeks
208-.02257 -.00039 (208*2π)/3822 weeks
209-.02823 -.00072 (209*2π)/3822 weeks
210-.01671 -.00068 (210*2π)/3822 weeks
211-.008 -.00882 (211*2π)/3822 weeks
212-.0104 .00849 (212*2π)/3822 weeks
213-.02479 -.01663 (213*2π)/3822 weeks
214-.01559 -.03317 (214*2π)/3822 weeks
215-.02419 -.01942 (215*2π)/3822 weeks
216-.06594 -.00568 (216*2π)/3822 weeks
217-.0377 -.02346 (217*2π)/3822 weeks
218-.024 .00377 (218*2π)/3822 weeks
219-.01625 -.00719 (219*2π)/3822 weeks
220-.05406 -.01525 (220*2π)/3822 weeks
221-.06654 .00492 (221*2π)/3822 weeks
222-.04288 .04155 (222*2π)/3822 weeks
223-.0315 .0279 (223*2π)/3822 weeks
224-.03744 .00429 (224*2π)/3822 weeks
225-.01821 .01854 (225*2π)/3822 weeks
226-.03332 .02071 (226*2π)/3822 weeks
227-.03506 .01958 (227*2π)/3822 weeks
228-.02593 -.00222 (228*2π)/3822 weeks
229-.02185 .00901 (229*2π)/3822 weeks
230-.01276 .00667 (230*2π)/3822 weeks
231-.02442 .00293 (231*2π)/3822 weeks
232-.03393 .0077 (232*2π)/3822 weeks
233-.04426 .00376 (233*2π)/3822 weeks
234-.02031 .02438 (234*2π)/3822 weeks
235-.00865 .034 (235*2π)/3822 weeks
236-.01584 -.00372 (236*2π)/3822 weeks
237-.02727 .00862 (237*2π)/3822 weeks
238-.01343 .0133 (238*2π)/3822 weeks
239-.007 .01512 (239*2π)/3822 weeks
240-.01927 -.00545 (240*2π)/3822 weeks
241-.04576 -.00257 (241*2π)/3822 weeks
242-.01831 .02092 (242*2π)/3822 weeks
243-.05328 .00946 (243*2π)/3822 weeks
244-.00834 .00487 (244*2π)/3822 weeks
245-.02274 -.00004 (245*2π)/3822 weeks
246-.0263 .03431 (246*2π)/3822 weeks
247-.03234 -.00001 (247*2π)/3822 weeks
248-.02663 -.00811 (248*2π)/3822 weeks
249-.01879 -.00375 (249*2π)/3822 weeks
250-.06167 -.00693 (250*2π)/3822 weeks
251-.04649 .00316 (251*2π)/3822 weeks
252-.03776 .01298 (252*2π)/3822 weeks
253-.0283 .00512 (253*2π)/3822 weeks
254-.02411 .01114 (254*2π)/3822 weeks
255-.00579 .0046 (255*2π)/3821 weeks
256-.03462 .0177 (256*2π)/3821 weeks
257-.05959 .00012 (257*2π)/3821 weeks
258-.04025 .05559 (258*2π)/3821 weeks
259-.00379 .01739 (259*2π)/3821 weeks
260-.03175 .0213 (260*2π)/3821 weeks
261-.03565 .03146 (261*2π)/3821 weeks
262-.00436 .01051 (262*2π)/3821 weeks
263-.03146 -.01217 (263*2π)/3821 weeks
264-.03014 .01435 (264*2π)/3821 weeks
265-.03943 .0244 (265*2π)/3821 weeks
266-.01798 .02239 (266*2π)/3821 weeks
267-.00231 .05158 (267*2π)/3821 weeks
268-.02139 -.02022 (268*2π)/3821 weeks
269-.03018 .01231 (269*2π)/3821 weeks
270-.03128 .00902 (270*2π)/3821 weeks
271-.02236 .01472 (271*2π)/3821 weeks
272-.00707 .00095 (272*2π)/3821 weeks
273-.04631 .00822 (273*2π)/3821 weeks
274-.04763 .01886 (274*2π)/3821 weeks
275-.05264 .03354 (275*2π)/3821 weeks
276-.04713 .01554 (276*2π)/3821 weeks
277-.05598 .03269 (277*2π)/3821 weeks
278-.01196 .01944 (278*2π)/3821 weeks
279-.01104 .02958 (279*2π)/3821 weeks
280-.04924 .00876 (280*2π)/3821 weeks
281-.04716 .044 (281*2π)/3821 weeks
282-.02086 .05535 (282*2π)/3821 weeks
283-.01925 .04552 (283*2π)/3821 weeks
284-.02307 .05522 (284*2π)/3821 weeks
285.02338 .05781 (285*2π)/3821 weeks
286-.00389 .01055 (286*2π)/3821 weeks
287-.03339 -.00574 (287*2π)/3821 weeks
288-.07261 .03652 (288*2π)/3821 weeks
289.00562 .02888 (289*2π)/3821 weeks
290-.00468 .03418 (290*2π)/3821 weeks
291-.01329 .0271 (291*2π)/3821 weeks
292-.03103 .02836 (292*2π)/3821 weeks
293-.03075 .04564 (293*2π)/3821 weeks
294-.00993 .02641 (294*2π)/3821 weeks
295-.03914 .01647 (295*2π)/3821 weeks
296-.03125 .03019 (296*2π)/3821 weeks
297-.05123 .02332 (297*2π)/3821 weeks
298-.02421 .07487 (298*2π)/3821 weeks
299-.00181 .01966 (299*2π)/3821 weeks
300-.04812 .0117 (300*2π)/3821 weeks
301-.05574 -.00587 (301*2π)/3821 weeks
302-.05164 .01698 (302*2π)/3821 weeks
303-.03803 .03485 (303*2π)/3821 weeks
304-.06025 .09056 (304*2π)/3821 weeks
305-.02899 .08944 (305*2π)/3821 weeks
306-.01707 .045 (306*2π)/3821 weeks
307-.04237 .02959 (307*2π)/3821 weeks
308-.04943 .02896 (308*2π)/3821 weeks
309.00462 .04235 (309*2π)/3821 weeks
310-.04319 .01561 (310*2π)/3821 weeks
311-.02622 .06228 (311*2π)/3821 weeks
312.01054 .05449 (312*2π)/3821 weeks
313-.00104 .04039 (313*2π)/3821 weeks
314-.01318 .06096 (314*2π)/3821 weeks
315-.00783 .03266 (315*2π)/3821 weeks
316-.03938 .06329 (316*2π)/3821 weeks
317-.06041 .06187 (317*2π)/3821 weeks
318-.0353 .09069 (318*2π)/3821 weeks
319-.01767 .05642 (319*2π)/3821 weeks
320-.02125 .07577 (320*2π)/3821 weeks
321-.0236 .06499 (321*2π)/3821 weeks
322.04294 .02678 (322*2π)/3821 weeks
323.01736 .06857 (323*2π)/3821 weeks
324-.0572 .07512 (324*2π)/3821 weeks
325.00679 .01897 (325*2π)/3821 weeks
326-.00037 .02824 (326*2π)/3821 weeks
327-.02915 .08213 (327*2π)/3821 weeks
328-.03453 .02361 (328*2π)/3821 weeks
329-.00511 .01183 (329*2π)/3821 weeks
330-.03069 .10979 (330*2π)/3821 weeks
331-.06172 .10831 (331*2π)/3821 weeks
332.01733 .07619 (332*2π)/3821 weeks
333-.03095 .06344 (333*2π)/3821 weeks
334.01615 .1155 (334*2π)/3821 weeks
335-.05496 -.00239 (335*2π)/3821 weeks
336-.0111 .01602 (336*2π)/3821 weeks
337-.03836 .11003 (337*2π)/3821 weeks
338.02867 .12761 (338*2π)/3821 weeks
339-.05877 .02394 (339*2π)/3821 weeks
340-.02511 .02374 (340*2π)/3821 weeks
341-.04713 .09964 (341*2π)/3821 weeks
342.01765 .02553 (342*2π)/3821 weeks
343-.15069 .03168 (343*2π)/3821 weeks
344-.06846 .14262 (344*2π)/3821 weeks
345-.00854 .07131 (345*2π)/3821 weeks
346.0175 .09545 (346*2π)/3821 weeks
347-.0221 .117 (347*2π)/3821 weeks
348.07873 .11054 (348*2π)/3821 weeks
349-.05183 .00571 (349*2π)/3821 weeks
350.00815 .08426 (350*2π)/3821 weeks
351.03066 .0348 (351*2π)/3821 weeks
352-.00779 .0861 (352*2π)/3821 weeks
353-.04926 -.01566 (353*2π)/3821 weeks
354.00244 .13995 (354*2π)/3821 weeks
355-.05702 .01929 (355*2π)/3821 weeks
356-.02918 .14668 (356*2π)/3821 weeks
357-.00026 .1048 (357*2π)/3821 weeks
358-.05415 .17492 (358*2π)/3821 weeks
359-.11192 .231 (359*2π)/3821 weeks
360-.01567 .19254 (360*2π)/3821 weeks
361.03891 .2546 (361*2π)/3821 weeks
362.18193 .1424 (362*2π)/3821 weeks
363-.07693 .1646 (363*2π)/3821 weeks
364-.02702 .21428 (364*2π)/3821 weeks
365.05158 -.05043 (365*2π)/3821 weeks
366-.11947 .15666 (366*2π)/3821 weeks
367-.03517 .36048 (367*2π)/3821 weeks
368-.11591 .38522 (368*2π)/3821 weeks
369.14678 .17719 (369*2π)/3821 weeks
370.25948 .38326 (370*2π)/3821 weeks
371-.10004 .19364 (371*2π)/3821 weeks
372-.01347 .26013 (372*2π)/3821 weeks
373-.06885 .39789 (373*2π)/3821 weeks
374.07994 .53975 (374*2π)/3821 weeks
375-.26945 -.02388 (375*2π)/3821 weeks
376.1614 .5074 (376*2π)/3821 weeks
377.67002 .6561 (377*2π)/3821 weeks
378.91747 .93271 (378*2π)/3821 weeks
379-.17716 -.43046 (379*2π)/3821 weeks
380-.23575 .18678 (380*2π)/3821 weeks