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Fourier Analysis of ICPT (Intercept Pharmaceuticals, Inc.)


ICPT (Intercept Pharmaceuticals, Inc.) appears to have interesting cyclic behaviour every 19 weeks (12.3908*cosine), 23 weeks (9.5489*cosine), and 15 weeks (9.0682*cosine).

ICPT (Intercept Pharmaceuticals, Inc.) has an average price of 155.11 (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 3/13/2017 for ICPT (Intercept Pharmaceuticals, Inc.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0155.1105   0 
1-96.38445 -11.94096 (1*2π)/232232 weeks
2-.07261 -45.22297 (2*2π)/232116 weeks
332.49887 -21.61377 (3*2π)/23277 weeks
4-28.88409 26.84319 (4*2π)/23258 weeks
5-4.79712 -13.82831 (5*2π)/23246 weeks
64.45319 -13.4916 (6*2π)/23239 weeks
720.28399 10.28601 (7*2π)/23233 weeks
8-25.16012 -.36049 (8*2π)/23229 weeks
98.54513 -21.30918 (9*2π)/23226 weeks
109.54885 2.98928 (10*2π)/23223 weeks
11-3.60941 -1.39444 (11*2π)/23221 weeks
12-12.39076 -8.89138 (12*2π)/23219 weeks
139.0594 -4.75988 (13*2π)/23218 weeks
141.91604 3.10615 (14*2π)/23217 weeks
15-9.06822 -2.0037 (15*2π)/23215 weeks
162.85639 -7.04411 (16*2π)/23215 weeks
17-.05551 .83039 (17*2π)/23214 weeks
18-.07143 -2.06342 (18*2π)/23213 weeks
192.25034 -1.16924 (19*2π)/23212 weeks
20-3.72751 -1.7912 (20*2π)/23212 weeks
212.00088 -5.27659 (21*2π)/23211 weeks
221.71902 .35914 (22*2π)/23211 weeks
23-6.57159 -2.03293 (23*2π)/23210 weeks
243.57308 -3.7644 (24*2π)/23210 weeks
25-1.38856 -.90534 (25*2π)/2329 weeks
26-1.08957 3.75674 (26*2π)/2329 weeks
27-4.15518 -3.54799 (27*2π)/2329 weeks
284.83917 -3.69925 (28*2π)/2328 weeks
293.24315 4.82317 (29*2π)/2328 weeks
30-6.68015 -5.40142 (30*2π)/2328 weeks
31.35711 -4.31742 (31*2π)/2327 weeks
321.98505 2.64741 (32*2π)/2327 weeks
33-2.44879 2.41203 (33*2π)/2327 weeks
34-3.11973 -6.02584 (34*2π)/2327 weeks
352.73073 .37764 (35*2π)/2327 weeks
36-2.33859 .80067 (36*2π)/2326 weeks
37-1.05431 .64357 (37*2π)/2326 weeks
38-.01826 -3.33849 (38*2π)/2326 weeks
39.90451 -.10511 (39*2π)/2326 weeks
40-.29199 1.04084 (40*2π)/2326 weeks
41-2.62018 -3.03336 (41*2π)/2326 weeks
42-.48805 -1.61752 (42*2π)/2326 weeks
432.97188 1.3207 (43*2π)/2325 weeks
44-2.10458 .21747 (44*2π)/2325 weeks
45-2.75921 -2.85379 (45*2π)/2325 weeks
463.62211 -1.9846 (46*2π)/2325 weeks
47-1.9378 1.4557 (47*2π)/2325 weeks
48-1.40956 .46573 (48*2π)/2325 weeks
49-1.88343 -3.12594 (49*2π)/2325 weeks
504.49802 -.12339 (50*2π)/2325 weeks
51-2.87767 2.29324 (51*2π)/2325 weeks
52-2.79894 -2.22054 (52*2π)/2324 weeks
533.37074 -2.14912 (53*2π)/2324 weeks
54.08778 1.70067 (54*2π)/2324 weeks
55-2.90818 .26025 (55*2π)/2324 weeks
56.3738 -5.77144 (56*2π)/2324 weeks
571.44741 1.27308 (57*2π)/2324 weeks
58-2.6331 .59655 (58*2π)/2324 weeks
59-3.17091 -1.14546 (59*2π)/2324 weeks
60.97931 -1.30742 (60*2π)/2324 weeks
611.88274 2.37769 (61*2π)/2324 weeks
62-3.2871 .07515 (62*2π)/2324 weeks
63-1.32714 -2.80676 (63*2π)/2324 weeks
642.10407 .38938 (64*2π)/2324 weeks
65.04596 1.10211 (65*2π)/2324 weeks
66-3.78603 -.0999 (66*2π)/2324 weeks
671.16937 -2.91669 (67*2π)/2323 weeks
681.11096 1.58986 (68*2π)/2323 weeks
69-2.31266 -.41128 (69*2π)/2323 weeks
70-1.84683 -1.30028 (70*2π)/2323 weeks
71.2508 -1.34222 (71*2π)/2323 weeks
721.41276 1.6834 (72*2π)/2323 weeks
73-4.13238 1.51416 (73*2π)/2323 weeks
741.00176 -3.91391 (74*2π)/2323 weeks
751.56026 .64112 (75*2π)/2323 weeks
76-1.51783 3.21103 (76*2π)/2323 weeks
77-2.35016 -3.10304 (77*2π)/2323 weeks
782.28255 -.87096 (78*2π)/2323 weeks
79.02104 2.02383 (79*2π)/2323 weeks
80-3.77285 -.08554 (80*2π)/2323 weeks
811.32616 -2.39961 (81*2π)/2323 weeks
82.80302 .63914 (82*2π)/2323 weeks
83-1.56104 1.71425 (83*2π)/2323 weeks
84-.78089 -1.30435 (84*2π)/2323 weeks
85.35584 -1.63893 (85*2π)/2323 weeks
86-.40688 .57248 (86*2π)/2323 weeks
87-1.03143 1.81559 (87*2π)/2323 weeks
88-1.27332 -1.21587 (88*2π)/2323 weeks
892.30601 -2.31605 (89*2π)/2323 weeks
90-.6982 2.27712 (90*2π)/2323 weeks
91-2.25229 -.31781 (91*2π)/2323 weeks
92-1.24275 -2.11106 (92*2π)/2323 weeks
932.4277 1.65499 (93*2π)/2322 weeks
94-1.82462 .80021 (94*2π)/2322 weeks
95-1.04714 -1.18398 (95*2π)/2322 weeks
96.59074 -1.30788 (96*2π)/2322 weeks
971.27136 1.44962 (97*2π)/2322 weeks
98-1.62041 .54915 (98*2π)/2322 weeks
99-2.09384 -3.25009 (99*2π)/2322 weeks
1003.08881 .12831 (100*2π)/2322 weeks
101-1.51419 2.07056 (101*2π)/2322 weeks
102-2.73189 -1.07373 (102*2π)/2322 weeks
103.52646 -3.48398 (103*2π)/2322 weeks
1041.63576 2.99598 (104*2π)/2322 weeks
105-4.0756 .92843 (105*2π)/2322 weeks
106-.10129 -3.18539 (106*2π)/2322 weeks
1071.15117 1.00883 (107*2π)/2322 weeks
108-.54584 1.33238 (108*2π)/2322 weeks
109-2.75958 .17754 (109*2π)/2322 weeks
110.6914 -2.10032 (110*2π)/2322 weeks
1111.93835 1.65552 (111*2π)/2322 weeks
112-2.49181 .84866 (112*2π)/2322 weeks
113-1.59908 -1.92407 (113*2π)/2322 weeks
1141.54738 -1.06325 (114*2π)/2322 weeks
115-.37031 2.4008 (115*2π)/2322 weeks
116-2.70793   (116*2π)/2322 weeks
117-.37031 -2.4008 (117*2π)/2322 weeks
1181.54738 1.06325 (118*2π)/2322 weeks
119-1.59908 1.92407 (119*2π)/2322 weeks
120-2.49181 -.84866 (120*2π)/2322 weeks
1211.93835 -1.65552 (121*2π)/2322 weeks
122.6914 2.10032 (122*2π)/2322 weeks
123-2.75958 -.17754 (123*2π)/2322 weeks
124-.54584 -1.33238 (124*2π)/2322 weeks
1251.15117 -1.00883 (125*2π)/2322 weeks
126-.10129 3.18539 (126*2π)/2322 weeks
127-4.0756 -.92843 (127*2π)/2322 weeks
1281.63576 -2.99598 (128*2π)/2322 weeks
129.52646 3.48398 (129*2π)/2322 weeks
130-2.73189 1.07373 (130*2π)/2322 weeks
131-1.51419 -2.07056 (131*2π)/2322 weeks
1323.08881 -.12831 (132*2π)/2322 weeks
133-2.09384 3.25009 (133*2π)/2322 weeks
134-1.62041 -.54915 (134*2π)/2322 weeks
1351.27136 -1.44962 (135*2π)/2322 weeks
136.59074 1.30788 (136*2π)/2322 weeks
137-1.04714 1.18398 (137*2π)/2322 weeks
138-1.82462 -.80021 (138*2π)/2322 weeks
1392.4277 -1.65499 (139*2π)/2322 weeks
140-1.24275 2.11106 (140*2π)/2322 weeks
141-2.25229 .31781 (141*2π)/2322 weeks
142-.6982 -2.27712 (142*2π)/2322 weeks
1432.30601 2.31605 (143*2π)/2322 weeks
144-1.27332 1.21587 (144*2π)/2322 weeks
145-1.03143 -1.81559 (145*2π)/2322 weeks
146-.40688 -.57248 (146*2π)/2322 weeks
147.35584 1.63893 (147*2π)/2322 weeks
148-.78089 1.30435 (148*2π)/2322 weeks
149-1.56104 -1.71425 (149*2π)/2322 weeks
150.80302 -.63914 (150*2π)/2322 weeks
1511.32616 2.39961 (151*2π)/2322 weeks
152-3.77285 .08554 (152*2π)/2322 weeks
153.02104 -2.02383 (153*2π)/2322 weeks
1542.28255 .87096 (154*2π)/2322 weeks
155-2.35016 3.10304 (155*2π)/2321 weeks
156-1.51783 -3.21103 (156*2π)/2321 weeks
1571.56026 -.64112 (157*2π)/2321 weeks
1581.00176 3.91391 (158*2π)/2321 weeks
159-4.13238 -1.51416 (159*2π)/2321 weeks
1601.41276 -1.6834 (160*2π)/2321 weeks
161.2508 1.34222 (161*2π)/2321 weeks
162-1.84683 1.30028 (162*2π)/2321 weeks
163-2.31266 .41128 (163*2π)/2321 weeks
1641.11096 -1.58986 (164*2π)/2321 weeks
1651.16937 2.91669 (165*2π)/2321 weeks
166-3.78603 .0999 (166*2π)/2321 weeks
167.04596 -1.10211 (167*2π)/2321 weeks
1682.10407 -.38938 (168*2π)/2321 weeks
169-1.32714 2.80676 (169*2π)/2321 weeks
170-3.2871 -.07515 (170*2π)/2321 weeks
1711.88274 -2.37769 (171*2π)/2321 weeks
172.97931 1.30742 (172*2π)/2321 weeks
173-3.17091 1.14546 (173*2π)/2321 weeks
174-2.6331 -.59655 (174*2π)/2321 weeks
1751.44741 -1.27308 (175*2π)/2321 weeks
176.3738 5.77144 (176*2π)/2321 weeks
177-2.90818 -.26025 (177*2π)/2321 weeks
178.08778 -1.70067 (178*2π)/2321 weeks
1793.37074 2.14912 (179*2π)/2321 weeks
180-2.79894 2.22054 (180*2π)/2321 weeks
181-2.87767 -2.29324 (181*2π)/2321 weeks
1824.49802 .12339 (182*2π)/2321 weeks
183-1.88343 3.12594 (183*2π)/2321 weeks
184-1.40956 -.46573 (184*2π)/2321 weeks
185-1.9378 -1.4557 (185*2π)/2321 weeks
1863.62211 1.9846 (186*2π)/2321 weeks
187-2.75921 2.85379 (187*2π)/2321 weeks
188-2.10458 -.21747 (188*2π)/2321 weeks
1892.97188 -1.3207 (189*2π)/2321 weeks
190-.48805 1.61752 (190*2π)/2321 weeks
191-2.62018 3.03336 (191*2π)/2321 weeks
192-.29199 -1.04084 (192*2π)/2321 weeks
193.90451 .10511 (193*2π)/2321 weeks
194-.01826 3.33849 (194*2π)/2321 weeks
195-1.05431 -.64357 (195*2π)/2321 weeks
196-2.33859 -.80067 (196*2π)/2321 weeks
1972.73073 -.37764 (197*2π)/2321 weeks
198-3.11973 6.02584 (198*2π)/2321 weeks
199-2.44879 -2.41203 (199*2π)/2321 weeks
2001.98505 -2.64741 (200*2π)/2321 weeks
201.35711 4.31742 (201*2π)/2321 weeks
202-6.68015 5.40142 (202*2π)/2321 weeks
2033.24315 -4.82317 (203*2π)/2321 weeks
2044.83917 3.69925 (204*2π)/2321 weeks
205-4.15518 3.54799 (205*2π)/2321 weeks
206-1.08957 -3.75674 (206*2π)/2321 weeks
207-1.38856 .90534 (207*2π)/2321 weeks
2083.57308 3.7644 (208*2π)/2321 weeks
209-6.57159 2.03293 (209*2π)/2321 weeks
2101.71902 -.35914 (210*2π)/2321 weeks
2112.00088 5.27659 (211*2π)/2321 weeks
212-3.72751 1.7912 (212*2π)/2321 weeks
2132.25034 1.16924 (213*2π)/2321 weeks
214-.07143 2.06342 (214*2π)/2321 weeks
215-.05551 -.83039 (215*2π)/2321 weeks
2162.85639 7.04411 (216*2π)/2321 weeks
217-9.06822 2.0037 (217*2π)/2321 weeks
2181.91604 -3.10615 (218*2π)/2321 weeks
2199.0594 4.75988 (219*2π)/2321 weeks
220-12.39076 8.89138 (220*2π)/2321 weeks
221-3.60941 1.39444 (221*2π)/2321 weeks
2229.54885 -2.98928 (222*2π)/2321 weeks
2238.54513 21.30918 (223*2π)/2321 weeks
224-25.16012 .36049 (224*2π)/2321 weeks
22520.28399 -10.28601 (225*2π)/2321 weeks
2264.45319 13.4916 (226*2π)/2321 weeks
227-4.79712 13.82831 (227*2π)/2321 weeks
228-28.88409 -26.84319 (228*2π)/2321 weeks
22932.49887 21.61377 (229*2π)/2321 weeks
230-.07261 45.22297 (230*2π)/2321 weeks

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