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Fourier Analysis of ICPT (Intercept Pharmaceuticals, Inc.)


ICPT (Intercept Pharmaceuticals, Inc.) appears to have interesting cyclic behaviour every 19 weeks (16.67*sine), 15 weeks (9.4068*sine), and 22 weeks (8.3878*sine).

ICPT (Intercept Pharmaceuticals, Inc.) has an average price of 156.34 (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.

Right click on the graph above to see the menu of operations (download, full screen, etc.)

Fourier Analysis

Using data from 10/11/2012 to 1/17/2017 for ICPT (Intercept Pharmaceuticals, Inc.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0156.3369   0 
1-97.44881 -20.08818 (1*2π)/224224 weeks
22.0706 -44.61162 (2*2π)/224112 weeks
338.47879 -14.50395 (3*2π)/22475 weeks
4-38.07427 11.64682 (4*2π)/22456 weeks
5-6.19035 -13.47905 (5*2π)/22445 weeks
65.51263 -13.84911 (6*2π)/22437 weeks
77.56345 22.92616 (7*2π)/22432 weeks
8-23.53241 -14.48508 (8*2π)/22428 weeks
913.51058 -10.25891 (9*2π)/22425 weeks
101.63729 8.38781 (10*2π)/22422 weeks
11-3.39134 2.61073 (11*2π)/22420 weeks
12.24903 -16.66998 (12*2π)/22419 weeks
135.67046 1.24678 (13*2π)/22417 weeks
14-3.55614 4.96237 (14*2π)/22416 weeks
15-3.14868 -9.4068 (15*2π)/22415 weeks
164.0337 -.88534 (16*2π)/22414 weeks
17-.99265 -2.56624 (17*2π)/22413 weeks
18.56348 -3.0772 (18*2π)/22412 weeks
19-2.93319 .89989 (19*2π)/22412 weeks
20-.80469 -5.73385 (20*2π)/22411 weeks
212.12205 .03049 (21*2π)/22411 weeks
22-5.50005 1.79764 (22*2π)/22410 weeks
232.79237 -5.38027 (23*2π)/22410 weeks
24-.93538 .61279 (24*2π)/2249 weeks
25.7009 3.78782 (25*2π)/2249 weeks
26-4.17997 -3.05881 (26*2π)/2249 weeks
275.08486 -4.1235 (27*2π)/2248 weeks
283.56716 5.16143 (28*2π)/2248 weeks
29-6.04923 -5.88781 (29*2π)/2248 weeks
301.07522 -4.55004 (30*2π)/2247 weeks
311.2876 2.95254 (31*2π)/2247 weeks
32-3.43268 2.34003 (32*2π)/2247 weeks
33-.46541 -6.67348 (33*2π)/2247 weeks
341.91756 1.29981 (34*2π)/2247 weeks
35-2.25011 -.81413 (35*2π)/2246 weeks
36-2.8758 -.07772 (36*2π)/2246 weeks
371.25714 -2.11207 (37*2π)/2246 weeks
38.3229 .35486 (38*2π)/2246 weeks
39-2.40299 1.3675 (39*2π)/2246 weeks
40.34766 -2.76117 (40*2π)/2246 weeks
411.47177 -2.93828 (41*2π)/2245 weeks
42-1.22686 2.66298 (42*2π)/2245 weeks
43-2.7458 -.3269 (43*2π)/2245 weeks
44.93065 -4.35307 (44*2π)/2245 weeks
451.14724 3.11751 (45*2π)/2245 weeks
46-.6501 -.09205 (46*2π)/2245 weeks
47-2.53783 -1.72867 (47*2π)/2245 weeks
483.63943 -3.16309 (48*2π)/2245 weeks
49-1.27091 3.79272 (49*2π)/2245 weeks
50-3.01777 -1.43124 (50*2π)/2244 weeks
512.54963 -3.70129 (51*2π)/2244 weeks
52.53323 1.81313 (52*2π)/2244 weeks
53-2.73049 .67991 (53*2π)/2244 weeks
54-.55149 -5.82575 (54*2π)/2244 weeks
551.74257 1.44794 (55*2π)/2244 weeks
56-2.57723 .76446 (56*2π)/2244 weeks
57-3.13892 -1.34934 (57*2π)/2244 weeks
581.07386 -1.14716 (58*2π)/2244 weeks
591.29916 3.20607 (59*2π)/2244 weeks
60-3.11327 -.44643 (60*2π)/2244 weeks
61-.40532 -3.1388 (61*2π)/2244 weeks
621.3333 1.32628 (62*2π)/2244 weeks
63-.32497 1.95035 (63*2π)/2244 weeks
64-3.42522 -2.1082 (64*2π)/2244 weeks
652.23137 -1.16392 (65*2π)/2243 weeks
66-.60531 2.49927 (66*2π)/2243 weeks
67-1.17433 -.56913 (67*2π)/2243 weeks
68-.32244 -2.04349 (68*2π)/2243 weeks
691.69508 -.99305 (69*2π)/2243 weeks
70-.77843 2.9111 (70*2π)/2243 weeks
71-3.53075 -3.78969 (71*2π)/2243 weeks
722.39339 -.53657 (72*2π)/2243 weeks
73.89701 2.38342 (73*2π)/2243 weeks
74-4.32108 -1.04773 (74*2π)/2243 weeks
751.55512 -2.5004 (75*2π)/2243 weeks
76.86211 1.79499 (76*2π)/2243 weeks
77-3.14966 1.49104 (77*2π)/2243 weeks
78.18465 -3.39332 (78*2π)/2243 weeks
791.0093 .47828 (79*2π)/2243 weeks
80-.97031 1.94029 (80*2π)/2243 weeks
81-1.17646 -1.46838 (81*2π)/2243 weeks
82.01657 -1.72325 (82*2π)/2243 weeks
83-.404 .6919 (83*2π)/2243 weeks
84-1.11288 1.8859 (84*2π)/2243 weeks
85-1.34605 -1.24164 (85*2π)/2243 weeks
862.78392 -1.8649 (86*2π)/2243 weeks
87-1.13642 2.09278 (87*2π)/2243 weeks
88-2.15619 -.73544 (88*2π)/2243 weeks
89-.54765 -2.84629 (89*2π)/2243 weeks
90.89014 2.68383 (90*2π)/2242 weeks
91-2.15669 .23771 (91*2π)/2242 weeks
92-.8598 -1.26353 (92*2π)/2242 weeks
931.02155 -.75797 (93*2π)/2242 weeks
94-.58931 2.34738 (94*2π)/2242 weeks
95-2.52693 .52018 (95*2π)/2242 weeks
961.32786 -3.41849 (96*2π)/2242 weeks
971.24177 2.86676 (97*2π)/2242 weeks
98-2.61678 1.033 (98*2π)/2242 weeks
99-1.60415 -2.34018 (99*2π)/2242 weeks
1003.89856 .13339 (100*2π)/2242 weeks
101-2.16404 3.21117 (101*2π)/2242 weeks
102-2.1569 -3.01343 (102*2π)/2242 weeks
1032.29509 -.17473 (103*2π)/2242 weeks
104.02893 1.23089 (104*2π)/2242 weeks
105-2.01817 .99729 (105*2π)/2242 weeks
106-.08191 -2.70955 (106*2π)/2242 weeks
1072.39374 .59328 (107*2π)/2242 weeks
108-2.37135 1.46451 (108*2π)/2242 weeks
109-1.87377 -1.71724 (109*2π)/2242 weeks
1101.54249 -1.31591 (110*2π)/2242 weeks
111-.07755 2.49857 (111*2π)/2242 weeks
112-2.66438   (112*2π)/2242 weeks
113-.07755 -2.49857 (113*2π)/2242 weeks
1141.54249 1.31591 (114*2π)/2242 weeks
115-1.87377 1.71724 (115*2π)/2242 weeks
116-2.37135 -1.46451 (116*2π)/2242 weeks
1172.39374 -.59328 (117*2π)/2242 weeks
118-.08191 2.70955 (118*2π)/2242 weeks
119-2.01817 -.99729 (119*2π)/2242 weeks
120.02893 -1.23089 (120*2π)/2242 weeks
1212.29509 .17473 (121*2π)/2242 weeks
122-2.1569 3.01343 (122*2π)/2242 weeks
123-2.16404 -3.21117 (123*2π)/2242 weeks
1243.89856 -.13339 (124*2π)/2242 weeks
125-1.60415 2.34018 (125*2π)/2242 weeks
126-2.61678 -1.033 (126*2π)/2242 weeks
1271.24177 -2.86676 (127*2π)/2242 weeks
1281.32786 3.41849 (128*2π)/2242 weeks
129-2.52693 -.52018 (129*2π)/2242 weeks
130-.58931 -2.34738 (130*2π)/2242 weeks
1311.02155 .75797 (131*2π)/2242 weeks
132-.8598 1.26353 (132*2π)/2242 weeks
133-2.15669 -.23771 (133*2π)/2242 weeks
134.89014 -2.68383 (134*2π)/2242 weeks
135-.54765 2.84629 (135*2π)/2242 weeks
136-2.15619 .73544 (136*2π)/2242 weeks
137-1.13642 -2.09278 (137*2π)/2242 weeks
1382.78392 1.8649 (138*2π)/2242 weeks
139-1.34605 1.24164 (139*2π)/2242 weeks
140-1.11288 -1.8859 (140*2π)/2242 weeks
141-.404 -.6919 (141*2π)/2242 weeks
142.01657 1.72325 (142*2π)/2242 weeks
143-1.17646 1.46838 (143*2π)/2242 weeks
144-.97031 -1.94029 (144*2π)/2242 weeks
1451.0093 -.47828 (145*2π)/2242 weeks
146.18465 3.39332 (146*2π)/2242 weeks
147-3.14966 -1.49104 (147*2π)/2242 weeks
148.86211 -1.79499 (148*2π)/2242 weeks
1491.55512 2.5004 (149*2π)/2242 weeks
150-4.32108 1.04773 (150*2π)/2241 weeks
151.89701 -2.38342 (151*2π)/2241 weeks
1522.39339 .53657 (152*2π)/2241 weeks
153-3.53075 3.78969 (153*2π)/2241 weeks
154-.77843 -2.9111 (154*2π)/2241 weeks
1551.69508 .99305 (155*2π)/2241 weeks
156-.32244 2.04349 (156*2π)/2241 weeks
157-1.17433 .56913 (157*2π)/2241 weeks
158-.60531 -2.49927 (158*2π)/2241 weeks
1592.23137 1.16392 (159*2π)/2241 weeks
160-3.42522 2.1082 (160*2π)/2241 weeks
161-.32497 -1.95035 (161*2π)/2241 weeks
1621.3333 -1.32628 (162*2π)/2241 weeks
163-.40532 3.1388 (163*2π)/2241 weeks
164-3.11327 .44643 (164*2π)/2241 weeks
1651.29916 -3.20607 (165*2π)/2241 weeks
1661.07386 1.14716 (166*2π)/2241 weeks
167-3.13892 1.34934 (167*2π)/2241 weeks
168-2.57723 -.76446 (168*2π)/2241 weeks
1691.74257 -1.44794 (169*2π)/2241 weeks
170-.55149 5.82575 (170*2π)/2241 weeks
171-2.73049 -.67991 (171*2π)/2241 weeks
172.53323 -1.81313 (172*2π)/2241 weeks
1732.54963 3.70129 (173*2π)/2241 weeks
174-3.01777 1.43124 (174*2π)/2241 weeks
175-1.27091 -3.79272 (175*2π)/2241 weeks
1763.63943 3.16309 (176*2π)/2241 weeks
177-2.53783 1.72867 (177*2π)/2241 weeks
178-.6501 .09205 (178*2π)/2241 weeks
1791.14724 -3.11751 (179*2π)/2241 weeks
180.93065 4.35307 (180*2π)/2241 weeks
181-2.7458 .3269 (181*2π)/2241 weeks
182-1.22686 -2.66298 (182*2π)/2241 weeks
1831.47177 2.93828 (183*2π)/2241 weeks
184.34766 2.76117 (184*2π)/2241 weeks
185-2.40299 -1.3675 (185*2π)/2241 weeks
186.3229 -.35486 (186*2π)/2241 weeks
1871.25714 2.11207 (187*2π)/2241 weeks
188-2.8758 .07772 (188*2π)/2241 weeks
189-2.25011 .81413 (189*2π)/2241 weeks
1901.91756 -1.29981 (190*2π)/2241 weeks
191-.46541 6.67348 (191*2π)/2241 weeks
192-3.43268 -2.34003 (192*2π)/2241 weeks
1931.2876 -2.95254 (193*2π)/2241 weeks
1941.07522 4.55004 (194*2π)/2241 weeks
195-6.04923 5.88781 (195*2π)/2241 weeks
1963.56716 -5.16143 (196*2π)/2241 weeks
1975.08486 4.1235 (197*2π)/2241 weeks
198-4.17997 3.05881 (198*2π)/2241 weeks
199.7009 -3.78782 (199*2π)/2241 weeks
200-.93538 -.61279 (200*2π)/2241 weeks
2012.79237 5.38027 (201*2π)/2241 weeks
202-5.50005 -1.79764 (202*2π)/2241 weeks
2032.12205 -.03049 (203*2π)/2241 weeks
204-.80469 5.73385 (204*2π)/2241 weeks
205-2.93319 -.89989 (205*2π)/2241 weeks
206.56348 3.0772 (206*2π)/2241 weeks
207-.99265 2.56624 (207*2π)/2241 weeks
2084.0337 .88534 (208*2π)/2241 weeks
209-3.14868 9.4068 (209*2π)/2241 weeks
210-3.55614 -4.96237 (210*2π)/2241 weeks
2115.67046 -1.24678 (211*2π)/2241 weeks
212.24903 16.66998 (212*2π)/2241 weeks
213-3.39134 -2.61073 (213*2π)/2241 weeks
2141.63729 -8.38781 (214*2π)/2241 weeks
21513.51058 10.25891 (215*2π)/2241 weeks
216-23.53241 14.48508 (216*2π)/2241 weeks
2177.56345 -22.92616 (217*2π)/2241 weeks
2185.51263 13.84911 (218*2π)/2241 weeks
219-6.19035 13.47905 (219*2π)/2241 weeks
220-38.07427 -11.64682 (220*2π)/2241 weeks
22138.47879 14.50395 (221*2π)/2241 weeks
2222.0706 44.61162 (222*2π)/2241 weeks

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