Back to list of Stocks    See Also: Seasonal Analysis of ICPTGenetic Algorithms Stock Portfolio Generator, and Best Months to Buy/Sell Stocks

# Fourier Analysis of ICPT (Intercept Pharmaceuticals)

ICPT (Intercept Pharmaceuticals) appears to have interesting cyclic behaviour every 30 weeks (19.8536*cosine), 27 weeks (16.9161*sine), and 25 weeks (11.2434*cosine).

ICPT (Intercept Pharmaceuticals) has an average price of 139.98 (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 10/11/2012 to 6/4/2018 for ICPT (Intercept Pharmaceuticals), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0139.9798   0
1-84.8219 36.83185 (1*2π)/296296 weeks
2-29.18538 -37.04315 (2*2π)/296148 weeks
34.03409 -18.02549 (3*2π)/29699 weeks
431.36764 -.45696 (4*2π)/29674 weeks
5-12.92313 31.8026 (5*2π)/29659 weeks
6-5.11595 -13.97012 (6*2π)/29649 weeks
7-.87311 -13.10326 (7*2π)/29642 weeks
84.73265 -11.19292 (8*2π)/29637 weeks
912.90827 11.1904 (9*2π)/29633 weeks
10-19.85355 8.13592 (10*2π)/29630 weeks
11-7.8906 -16.9161 (11*2π)/29627 weeks
1211.24344 -3.63046 (12*2π)/29625 weeks
136.46754 6.01853 (13*2π)/29623 weeks
14-2.53922 -1.20965 (14*2π)/29621 weeks
15-9.6885 -.36891 (15*2π)/29620 weeks
162.1241 -10.74036 (16*2π)/29619 weeks
174.98318 1.43883 (17*2π)/29617 weeks
181.05921 4.04773 (18*2π)/29616 weeks
19-6.70379 1.11494 (19*2π)/29616 weeks
20-.57617 -6.09852 (20*2π)/29615 weeks
213.76291 -.6452 (21*2π)/29614 weeks
22-.72748 .19208 (22*2π)/29613 weeks
23.17887 -1.38424 (23*2π)/29613 weeks
24.94859 -1.7968 (24*2π)/29612 weeks
25-2.19624 1.75321 (25*2π)/29612 weeks
26-2.39096 -2.11362 (26*2π)/29611 weeks
272.67775 -2.14202 (27*2π)/29611 weeks
281.57748 .97028 (28*2π)/29611 weeks
29-3.40136 2.62197 (29*2π)/29610 weeks
30-.05361 -4.83224 (30*2π)/29610 weeks
313.42936 -.34636 (31*2π)/29610 weeks
32-.86982 -1.32477 (32*2π)/2969 weeks
33.18997 3.00721 (33*2π)/2969 weeks
34-3.96111 -.15372 (34*2π)/2969 weeks
35-.71014 -4.14555 (35*2π)/2968 weeks
364.76006 -.44761 (36*2π)/2968 weeks
373.3714 3.66353 (37*2π)/2968 weeks
38-6.98204 -1.11361 (38*2π)/2968 weeks
39-.07285 -3.24932 (39*2π)/2968 weeks
402.50486 -2.52688 (40*2π)/2967 weeks
41.54418 2.80586 (41*2π)/2967 weeks
42-1.32021 2.72066 (42*2π)/2967 weeks
43-3.83587 -1.58253 (43*2π)/2967 weeks
443.22999 -3.22761 (44*2π)/2967 weeks
451.86915 .77664 (45*2π)/2967 weeks
46-1.77244 -.18889 (46*2π)/2966 weeks
47-.64084 -.27434 (47*2π)/2966 weeks
48-2.70037 -1.81714 (48*2π)/2966 weeks
49.69343 -.52455 (49*2π)/2966 weeks
50.82981 1.01147 (50*2π)/2966 weeks
51.56745 1.06294 (51*2π)/2966 weeks
52-2.42177 -1.23584 (52*2π)/2966 weeks
53.22884 -2.01257 (53*2π)/2966 weeks
54-.27829 -2.10817 (54*2π)/2965 weeks
551.33167 2.39981 (55*2π)/2965 weeks
56-1.72831 1.32173 (56*2π)/2965 weeks
57-1.93451 .058 (57*2π)/2965 weeks
58.64865 -2.92141 (58*2π)/2965 weeks
593.57344 .49094 (59*2π)/2965 weeks
60-1.18117 .90317 (60*2π)/2965 weeks
61-.54779 .14393 (61*2π)/2965 weeks
62-2.06437 -.94913 (62*2π)/2965 weeks
63.39286 -3.07147 (63*2π)/2965 weeks
643.36532 1.68448 (64*2π)/2965 weeks
65-1.72204 2.27183 (65*2π)/2965 weeks
66-2.11716 -.92958 (66*2π)/2964 weeks
67-.1718 -3.41452 (67*2π)/2964 weeks
682.45978 .50467 (68*2π)/2964 weeks
69-.03554 1.51032 (69*2π)/2964 weeks
70-2.10147 .68848 (70*2π)/2964 weeks
71-2.73235 -2.65003 (71*2π)/2964 weeks
723.40026 -.99781 (72*2π)/2964 weeks
731.09527 1.46788 (73*2π)/2964 weeks
74-1.82137 .68402 (74*2π)/2964 weeks
75-1.53524 .30624 (75*2π)/2964 weeks
76.68403 -2.52294 (76*2π)/2964 weeks
771.22914 -1.30131 (77*2π)/2964 weeks
78.58426 2.20444 (78*2π)/2964 weeks
79-2.87409 .52633 (79*2π)/2964 weeks
80-1.72772 -1.15655 (80*2π)/2964 weeks
811.3288 -1.72645 (81*2π)/2964 weeks
821.14067 1.15702 (82*2π)/2964 weeks
83.30157 .93672 (83*2π)/2964 weeks
84-2.5659 .71751 (84*2π)/2964 weeks
85-1.11337 -2.68986 (85*2π)/2963 weeks
861.65307 -.34055 (86*2π)/2963 weeks
87.38396 2.04295 (87*2π)/2963 weeks
88-1.5754 .11133 (88*2π)/2963 weeks
89-.90785 -.13701 (89*2π)/2963 weeks
90.41316 -1.34926 (90*2π)/2963 weeks
911.22092 -1.10105 (91*2π)/2963 weeks
921.08016 1.53256 (92*2π)/2963 weeks
93-2.44555 1.62211 (93*2π)/2963 weeks
94-1.49035 -3.56229 (94*2π)/2963 weeks
951.92497 -.9002 (95*2π)/2963 weeks
961.13254 .92663 (96*2π)/2963 weeks
97-1.16339 2.60246 (97*2π)/2963 weeks
98-2.47665 -1.79159 (98*2π)/2963 weeks
991.03166 -2.31167 (99*2π)/2963 weeks
1001.36683 .62086 (100*2π)/2963 weeks
101-.48885 1.82989 (101*2π)/2963 weeks
102-2.82497 .53216 (102*2π)/2963 weeks
103.12836 -2.45272 (103*2π)/2963 weeks
1041.49112 -.06532 (104*2π)/2963 weeks
105.63167 .6943 (105*2π)/2963 weeks
106-1.46109 1.10527 (106*2π)/2963 weeks
107-.95135 -1.0755 (107*2π)/2963 weeks
108-.51189 -.81694 (108*2π)/2963 weeks
1091.20605 .12474 (109*2π)/2963 weeks
110-.05153 .08459 (110*2π)/2963 weeks
111-.69289 1.36281 (111*2π)/2963 weeks
112-1.37286 -.99146 (112*2π)/2963 weeks
113-.72502 -1.86143 (113*2π)/2963 weeks
1142.45866 .86962 (114*2π)/2963 weeks
115-.61187 1.76303 (115*2π)/2963 weeks
116-1.49688 -.01261 (116*2π)/2963 weeks
117-.99776 -1.06245 (117*2π)/2963 weeks
1181.34324 -1.9957 (118*2π)/2963 weeks
119.31137 2.30182 (119*2π)/2962 weeks
120-1.3234 .9071 (120*2π)/2962 weeks
121-.67464 -.62539 (121*2π)/2962 weeks
122.19116 -1.16474 (122*2π)/2962 weeks
1231.18903 -.64115 (123*2π)/2962 weeks
124.43105 1.47313 (124*2π)/2962 weeks
125-1.37793 .39082 (125*2π)/2962 weeks
126-2.58527 -1.05406 (126*2π)/2962 weeks
1271.66641 -1.89203 (127*2π)/2962 weeks
1281.94923 1.94183 (128*2π)/2962 weeks
129-1.04033 1.40882 (129*2π)/2962 weeks
130-2.11276 -.56798 (130*2π)/2962 weeks
131-.91515 -2.0814 (131*2π)/2962 weeks
1322.96612 -.67672 (132*2π)/2962 weeks
133.25074 2.74367 (133*2π)/2962 weeks
134-3.06826 .61473 (134*2π)/2962 weeks
135-.79935 -2.42748 (135*2π)/2962 weeks
1361.88627 -.42257 (136*2π)/2962 weeks
137.37988 .92594 (137*2π)/2962 weeks
138-.47232 1.11889 (138*2π)/2962 weeks
139-1.84429 .45093 (139*2π)/2962 weeks
140-.07923 -1.98308 (140*2π)/2962 weeks
1411.72559 -.61159 (141*2π)/2962 weeks
142.56514 2.15309 (142*2π)/2962 weeks
143-1.79624 .31504 (143*2π)/2962 weeks
144-1.50809 -1.26893 (144*2π)/2962 weeks
145.5875 -1.35351 (145*2π)/2962 weeks
1461.70575 .78209 (146*2π)/2962 weeks
147-.73474 1.69186 (147*2π)/2962 weeks
148-1.92468   (148*2π)/2962 weeks
149-.73474 -1.69186 (149*2π)/2962 weeks
1501.70575 -.78209 (150*2π)/2962 weeks
151.5875 1.35351 (151*2π)/2962 weeks
152-1.50809 1.26893 (152*2π)/2962 weeks
153-1.79624 -.31504 (153*2π)/2962 weeks
154.56514 -2.15309 (154*2π)/2962 weeks
1551.72559 .61159 (155*2π)/2962 weeks
156-.07923 1.98308 (156*2π)/2962 weeks
157-1.84429 -.45093 (157*2π)/2962 weeks
158-.47232 -1.11889 (158*2π)/2962 weeks
159.37988 -.92594 (159*2π)/2962 weeks
1601.88627 .42257 (160*2π)/2962 weeks
161-.79935 2.42748 (161*2π)/2962 weeks
162-3.06826 -.61473 (162*2π)/2962 weeks
163.25074 -2.74367 (163*2π)/2962 weeks
1642.96612 .67672 (164*2π)/2962 weeks
165-.91515 2.0814 (165*2π)/2962 weeks
166-2.11276 .56798 (166*2π)/2962 weeks
167-1.04033 -1.40882 (167*2π)/2962 weeks
1681.94923 -1.94183 (168*2π)/2962 weeks
1691.66641 1.89203 (169*2π)/2962 weeks
170-2.58527 1.05406 (170*2π)/2962 weeks
171-1.37793 -.39082 (171*2π)/2962 weeks
172.43105 -1.47313 (172*2π)/2962 weeks
1731.18903 .64115 (173*2π)/2962 weeks
174.19116 1.16474 (174*2π)/2962 weeks
175-.67464 .62539 (175*2π)/2962 weeks
176-1.3234 -.9071 (176*2π)/2962 weeks
177.31137 -2.30182 (177*2π)/2962 weeks
1781.34324 1.9957 (178*2π)/2962 weeks
179-.99776 1.06245 (179*2π)/2962 weeks
180-1.49688 .01261 (180*2π)/2962 weeks
181-.61187 -1.76303 (181*2π)/2962 weeks
1822.45866 -.86962 (182*2π)/2962 weeks
183-.72502 1.86143 (183*2π)/2962 weeks
184-1.37286 .99146 (184*2π)/2962 weeks
185-.69289 -1.36281 (185*2π)/2962 weeks
186-.05153 -.08459 (186*2π)/2962 weeks
1871.20605 -.12474 (187*2π)/2962 weeks
188-.51189 .81694 (188*2π)/2962 weeks
189-.95135 1.0755 (189*2π)/2962 weeks
190-1.46109 -1.10527 (190*2π)/2962 weeks
191.63167 -.6943 (191*2π)/2962 weeks
1921.49112 .06532 (192*2π)/2962 weeks
193.12836 2.45272 (193*2π)/2962 weeks
194-2.82497 -.53216 (194*2π)/2962 weeks
195-.48885 -1.82989 (195*2π)/2962 weeks
1961.36683 -.62086 (196*2π)/2962 weeks
1971.03166 2.31167 (197*2π)/2962 weeks
198-2.47665 1.79159 (198*2π)/2961 weeks
199-1.16339 -2.60246 (199*2π)/2961 weeks
2001.13254 -.92663 (200*2π)/2961 weeks
2011.92497 .9002 (201*2π)/2961 weeks
202-1.49035 3.56229 (202*2π)/2961 weeks
203-2.44555 -1.62211 (203*2π)/2961 weeks
2041.08016 -1.53256 (204*2π)/2961 weeks
2051.22092 1.10105 (205*2π)/2961 weeks
206.41316 1.34926 (206*2π)/2961 weeks
207-.90785 .13701 (207*2π)/2961 weeks
208-1.5754 -.11133 (208*2π)/2961 weeks
209.38396 -2.04295 (209*2π)/2961 weeks
2101.65307 .34055 (210*2π)/2961 weeks
211-1.11337 2.68986 (211*2π)/2961 weeks
212-2.5659 -.71751 (212*2π)/2961 weeks
213.30157 -.93672 (213*2π)/2961 weeks
2141.14067 -1.15702 (214*2π)/2961 weeks
2151.3288 1.72645 (215*2π)/2961 weeks
216-1.72772 1.15655 (216*2π)/2961 weeks
217-2.87409 -.52633 (217*2π)/2961 weeks
218.58426 -2.20444 (218*2π)/2961 weeks
2191.22914 1.30131 (219*2π)/2961 weeks
220.68403 2.52294 (220*2π)/2961 weeks
221-1.53524 -.30624 (221*2π)/2961 weeks
222-1.82137 -.68402 (222*2π)/2961 weeks
2231.09527 -1.46788 (223*2π)/2961 weeks
2243.40026 .99781 (224*2π)/2961 weeks
225-2.73235 2.65003 (225*2π)/2961 weeks
226-2.10147 -.68848 (226*2π)/2961 weeks
227-.03554 -1.51032 (227*2π)/2961 weeks
2282.45978 -.50467 (228*2π)/2961 weeks
229-.1718 3.41452 (229*2π)/2961 weeks
230-2.11716 .92958 (230*2π)/2961 weeks
231-1.72204 -2.27183 (231*2π)/2961 weeks
2323.36532 -1.68448 (232*2π)/2961 weeks
233.39286 3.07147 (233*2π)/2961 weeks
234-2.06437 .94913 (234*2π)/2961 weeks
235-.54779 -.14393 (235*2π)/2961 weeks
236-1.18117 -.90317 (236*2π)/2961 weeks
2373.57344 -.49094 (237*2π)/2961 weeks
238.64865 2.92141 (238*2π)/2961 weeks
239-1.93451 -.058 (239*2π)/2961 weeks
240-1.72831 -1.32173 (240*2π)/2961 weeks
2411.33167 -2.39981 (241*2π)/2961 weeks
242-.27829 2.10817 (242*2π)/2961 weeks
243.22884 2.01257 (243*2π)/2961 weeks
244-2.42177 1.23584 (244*2π)/2961 weeks
245.56745 -1.06294 (245*2π)/2961 weeks
246.82981 -1.01147 (246*2π)/2961 weeks
247.69343 .52455 (247*2π)/2961 weeks
248-2.70037 1.81714 (248*2π)/2961 weeks
249-.64084 .27434 (249*2π)/2961 weeks
250-1.77244 .18889 (250*2π)/2961 weeks
2511.86915 -.77664 (251*2π)/2961 weeks
2523.22999 3.22761 (252*2π)/2961 weeks
253-3.83587 1.58253 (253*2π)/2961 weeks
254-1.32021 -2.72066 (254*2π)/2961 weeks
255.54418 -2.80586 (255*2π)/2961 weeks
2562.50486 2.52688 (256*2π)/2961 weeks
257-.07285 3.24932 (257*2π)/2961 weeks
258-6.98204 1.11361 (258*2π)/2961 weeks
2593.3714 -3.66353 (259*2π)/2961 weeks
2604.76006 .44761 (260*2π)/2961 weeks
261-.71014 4.14555 (261*2π)/2961 weeks
262-3.96111 .15372 (262*2π)/2961 weeks
263.18997 -3.00721 (263*2π)/2961 weeks
264-.86982 1.32477 (264*2π)/2961 weeks
2653.42936 .34636 (265*2π)/2961 weeks
266-.05361 4.83224 (266*2π)/2961 weeks
267-3.40136 -2.62197 (267*2π)/2961 weeks
2681.57748 -.97028 (268*2π)/2961 weeks
2692.67775 2.14202 (269*2π)/2961 weeks
270-2.39096 2.11362 (270*2π)/2961 weeks
271-2.19624 -1.75321 (271*2π)/2961 weeks
272.94859 1.7968 (272*2π)/2961 weeks
273.17887 1.38424 (273*2π)/2961 weeks
274-.72748 -.19208 (274*2π)/2961 weeks
2753.76291 .6452 (275*2π)/2961 weeks
276-.57617 6.09852 (276*2π)/2961 weeks
277-6.70379 -1.11494 (277*2π)/2961 weeks
2781.05921 -4.04773 (278*2π)/2961 weeks
2794.98318 -1.43883 (279*2π)/2961 weeks
2802.1241 10.74036 (280*2π)/2961 weeks
281-9.6885 .36891 (281*2π)/2961 weeks
282-2.53922 1.20965 (282*2π)/2961 weeks
2836.46754 -6.01853 (283*2π)/2961 weeks
28411.24344 3.63046 (284*2π)/2961 weeks
285-7.8906 16.9161 (285*2π)/2961 weeks
286-19.85355 -8.13592 (286*2π)/2961 weeks
28712.90827 -11.1904 (287*2π)/2961 weeks
2884.73265 11.19292 (288*2π)/2961 weeks
289-.87311 13.10326 (289*2π)/2961 weeks
290-5.11595 13.97012 (290*2π)/2961 weeks
291-12.92313 -31.8026 (291*2π)/2961 weeks
29231.36764 .45696 (292*2π)/2961 weeks
2934.03409 18.02549 (293*2π)/2961 weeks
294-29.18538 37.04315 (294*2π)/2961 weeks