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Fourier Analysis of AAMC (Altisource Asset Management Co)


AAMC (Altisource Asset Management Co) appears to have interesting cyclic behaviour every 12 weeks (22.986*sine), 25 weeks (20.9728*cosine), and 11 weeks (19.5278*cosine).

AAMC (Altisource Asset Management Co) has an average price of 282.92 (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 12/13/2012 to 9/5/2017 for AAMC (Altisource Asset Management Co), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0282.9168   0 
1-64.077 385.7703 (1*2π)/248248 weeks
2-175.6287 -81.54638 (2*2π)/248124 weeks
327.63565 -83.53204 (3*2π)/24883 weeks
435.45819 7.99272 (4*2π)/24862 weeks
5-.58192 14.52121 (5*2π)/24850 weeks
6-14.19124 22.54141 (6*2π)/24841 weeks
7-15.26138 -21.47538 (7*2π)/24835 weeks
85.57293 .32045 (8*2π)/24831 weeks
9-2.72458 -18.32245 (9*2π)/24828 weeks
1020.97282 5.97957 (10*2π)/24825 weeks
11-11.18162 16.10822 (11*2π)/24823 weeks
12-8.99886 -10.76187 (12*2π)/24821 weeks
139.53575 1.81227 (13*2π)/24819 weeks
14-1.71922 12.25412 (14*2π)/24818 weeks
15-12.39885 3.31808 (15*2π)/24817 weeks
162.53373 -9.67059 (16*2π)/24816 weeks
17-3.789 5.93778 (17*2π)/24815 weeks
18.53285 -11.6971 (18*2π)/24814 weeks
196.78338 11.42967 (19*2π)/24813 weeks
20-17.93962 5.20652 (20*2π)/24812 weeks
21-4.36589 -22.98604 (21*2π)/24812 weeks
2219.52779 -1.98312 (22*2π)/24811 weeks
231.0953 9.24535 (23*2π)/24811 weeks
24-5.58771 1.04206 (24*2π)/24810 weeks
255.39242 -3.1552 (25*2π)/24810 weeks
262.32047 12.44449 (26*2π)/24810 weeks
27-14.4196 3.04148 (27*2π)/2489 weeks
28-6.02837 -16.04377 (28*2π)/2489 weeks
2911.985 -3.76488 (29*2π)/2489 weeks
301.13392 9.36244 (30*2π)/2488 weeks
31-7.83019 1.43586 (31*2π)/2488 weeks
32-1.37439 -6.03386 (32*2π)/2488 weeks
33.85716 -1.56267 (33*2π)/2488 weeks
342.58829 -5.09997 (34*2π)/2487 weeks
353.87965 -.02742 (35*2π)/2487 weeks
362.4857 4.01484 (36*2π)/2487 weeks
37-5.98454 -.195 (37*2π)/2487 weeks
384.98243 -5.92612 (38*2π)/2487 weeks
391.13462 7.93868 (39*2π)/2486 weeks
40-9.79719 -.72234 (40*2π)/2486 weeks
411.99503 -7.84593 (41*2π)/2486 weeks
422.29458 4.25926 (42*2π)/2486 weeks
43-4.43204 -1.29319 (43*2π)/2486 weeks
443.39325 -3.80041 (44*2π)/2486 weeks
453.20673 5.60669 (45*2π)/2486 weeks
46-8.81246 .71939 (46*2π)/2485 weeks
47.34851 -9.48816 (47*2π)/2485 weeks
488.56236 1.03451 (48*2π)/2485 weeks
49-1.83416 8.2733 (49*2π)/2485 weeks
50-6.06806 .54718 (50*2π)/2485 weeks
51-5.47309 -3.92637 (51*2π)/2485 weeks
523.19393 -8.72757 (52*2π)/2485 weeks
537.40803 1.76566 (53*2π)/2485 weeks
54-1.36001 6.1297 (54*2π)/2485 weeks
55-5.01548 -.19337 (55*2π)/2485 weeks
56-.63929 -3.31332 (56*2π)/2484 weeks
572.67316 .72861 (57*2π)/2484 weeks
58-4.60188 .89672 (58*2π)/2484 weeks
591.78655 -4.89852 (59*2π)/2484 weeks
601.46765 3.79596 (60*2π)/2484 weeks
61-1.56139 1.57727 (61*2π)/2484 weeks
62-1.38263 .34394 (62*2π)/2484 weeks
63.48733 -.70772 (63*2π)/2484 weeks
64-.81105 .02742 (64*2π)/2484 weeks
65-.92917 -4.92379 (65*2π)/2484 weeks
667.06422 .8384 (66*2π)/2484 weeks
67-3.32807 6.5274 (67*2π)/2484 weeks
68-5.38736 -1.87807 (68*2π)/2484 weeks
69.32713 -3.18055 (69*2π)/2484 weeks
702.03002 2.00791 (70*2π)/2484 weeks
71-2.73292 -.39787 (71*2π)/2483 weeks
723.34473 -1.08755 (72*2π)/2483 weeks
73.04556 4.17935 (73*2π)/2483 weeks
74-5.07551 .71718 (74*2π)/2483 weeks
75-1.27317 -4.87061 (75*2π)/2483 weeks
761.42268 .11319 (76*2π)/2483 weeks
77.89683 -.60109 (77*2π)/2483 weeks
781.46061 3.0692 (78*2π)/2483 weeks
79-4.39466 1.96963 (79*2π)/2483 weeks
80-1.12786 -3.65344 (80*2π)/2483 weeks
81.06802 -.56423 (81*2π)/2483 weeks
822.04434 -1.80488 (82*2π)/2483 weeks
831.82841 3.5504 (83*2π)/2483 weeks
84-3.36868 2.71999 (84*2π)/2483 weeks
85-4.53483 -2.00979 (85*2π)/2483 weeks
86.77049 -2.84351 (86*2π)/2483 weeks
87.64573 1.01519 (87*2π)/2483 weeks
88-1.91745 1.48059 (88*2π)/2483 weeks
89-2.39255 -2.19369 (89*2π)/2483 weeks
901.15427 -1.8689 (90*2π)/2483 weeks
911.00564 .66795 (91*2π)/2483 weeks
92-.99194 .8464 (92*2π)/2483 weeks
93.07212 -.28906 (93*2π)/2483 weeks
94-.41427 .40274 (94*2π)/2483 weeks
95-.17838 .12167 (95*2π)/2483 weeks
96-1.00148 -.14199 (96*2π)/2483 weeks
971.00527 .44328 (97*2π)/2483 weeks
98-2.77111 3.97811 (98*2π)/2483 weeks
99-5.21724 -2.89181 (99*2π)/2483 weeks
1002.72872 -3.46618 (100*2π)/2482 weeks
1011.64039 2.20818 (101*2π)/2482 weeks
102-2.79341 1.7024 (102*2π)/2482 weeks
103-1.76536 -2.87956 (103*2π)/2482 weeks
1041.1393 -.3082 (104*2π)/2482 weeks
105-.47027 -1.03479 (105*2π)/2482 weeks
1063.7751 1.53633 (106*2π)/2482 weeks
107-3.04227 5.31131 (107*2π)/2482 weeks
108-4.47346 -2.84039 (108*2π)/2482 weeks
1091.3981 -1.92253 (109*2π)/2482 weeks
1101.0093 1.2616 (110*2π)/2482 weeks
111-1.67324 3.13465 (111*2π)/2482 weeks
112-4.64089 -2.53034 (112*2π)/2482 weeks
1133.47035 -2.5808 (113*2π)/2482 weeks
114-.40199 3.46235 (114*2π)/2482 weeks
115-2.03976 -2.2312 (115*2π)/2482 weeks
1162.61912 -.89783 (116*2π)/2482 weeks
117.46701 1.9753 (117*2π)/2482 weeks
118-1.75074 1.34938 (118*2π)/2482 weeks
119-2.24838 -1.1291 (119*2π)/2482 weeks
120.40867 -1.27983 (120*2π)/2482 weeks
1211.72894 1.906 (121*2π)/2482 weeks
122-1.89781 2.62412 (122*2π)/2482 weeks
123-1.15776 .20952 (123*2π)/2482 weeks
124-.89941   (124*2π)/2482 weeks
125-1.15776 -.20952 (125*2π)/2482 weeks
126-1.89781 -2.62412 (126*2π)/2482 weeks
1271.72894 -1.906 (127*2π)/2482 weeks
128.40867 1.27983 (128*2π)/2482 weeks
129-2.24838 1.1291 (129*2π)/2482 weeks
130-1.75074 -1.34938 (130*2π)/2482 weeks
131.46701 -1.9753 (131*2π)/2482 weeks
1322.61912 .89783 (132*2π)/2482 weeks
133-2.03976 2.2312 (133*2π)/2482 weeks
134-.40199 -3.46235 (134*2π)/2482 weeks
1353.47035 2.5808 (135*2π)/2482 weeks
136-4.64089 2.53034 (136*2π)/2482 weeks
137-1.67324 -3.13465 (137*2π)/2482 weeks
1381.0093 -1.2616 (138*2π)/2482 weeks
1391.3981 1.92253 (139*2π)/2482 weeks
140-4.47346 2.84039 (140*2π)/2482 weeks
141-3.04227 -5.31131 (141*2π)/2482 weeks
1423.7751 -1.53633 (142*2π)/2482 weeks
143-.47027 1.03479 (143*2π)/2482 weeks
1441.1393 .3082 (144*2π)/2482 weeks
145-1.76536 2.87956 (145*2π)/2482 weeks
146-2.79341 -1.7024 (146*2π)/2482 weeks
1471.64039 -2.20818 (147*2π)/2482 weeks
1482.72872 3.46618 (148*2π)/2482 weeks
149-5.21724 2.89181 (149*2π)/2482 weeks
150-2.77111 -3.97811 (150*2π)/2482 weeks
1511.00527 -.44328 (151*2π)/2482 weeks
152-1.00148 .14199 (152*2π)/2482 weeks
153-.17838 -.12167 (153*2π)/2482 weeks
154-.41427 -.40274 (154*2π)/2482 weeks
155.07212 .28906 (155*2π)/2482 weeks
156-.99194 -.8464 (156*2π)/2482 weeks
1571.00564 -.66795 (157*2π)/2482 weeks
1581.15427 1.8689 (158*2π)/2482 weeks
159-2.39255 2.19369 (159*2π)/2482 weeks
160-1.91745 -1.48059 (160*2π)/2482 weeks
161.64573 -1.01519 (161*2π)/2482 weeks
162.77049 2.84351 (162*2π)/2482 weeks
163-4.53483 2.00979 (163*2π)/2482 weeks
164-3.36868 -2.71999 (164*2π)/2482 weeks
1651.82841 -3.5504 (165*2π)/2482 weeks
1662.04434 1.80488 (166*2π)/2481 weeks
167.06802 .56423 (167*2π)/2481 weeks
168-1.12786 3.65344 (168*2π)/2481 weeks
169-4.39466 -1.96963 (169*2π)/2481 weeks
1701.46061 -3.0692 (170*2π)/2481 weeks
171.89683 .60109 (171*2π)/2481 weeks
1721.42268 -.11319 (172*2π)/2481 weeks
173-1.27317 4.87061 (173*2π)/2481 weeks
174-5.07551 -.71718 (174*2π)/2481 weeks
175.04556 -4.17935 (175*2π)/2481 weeks
1763.34473 1.08755 (176*2π)/2481 weeks
177-2.73292 .39787 (177*2π)/2481 weeks
1782.03002 -2.00791 (178*2π)/2481 weeks
179.32713 3.18055 (179*2π)/2481 weeks
180-5.38736 1.87807 (180*2π)/2481 weeks
181-3.32807 -6.5274 (181*2π)/2481 weeks
1827.06422 -.8384 (182*2π)/2481 weeks
183-.92917 4.92379 (183*2π)/2481 weeks
184-.81105 -.02742 (184*2π)/2481 weeks
185.48733 .70772 (185*2π)/2481 weeks
186-1.38263 -.34394 (186*2π)/2481 weeks
187-1.56139 -1.57727 (187*2π)/2481 weeks
1881.46765 -3.79596 (188*2π)/2481 weeks
1891.78655 4.89852 (189*2π)/2481 weeks
190-4.60188 -.89672 (190*2π)/2481 weeks
1912.67316 -.72861 (191*2π)/2481 weeks
192-.63929 3.31332 (192*2π)/2481 weeks
193-5.01548 .19337 (193*2π)/2481 weeks
194-1.36001 -6.1297 (194*2π)/2481 weeks
1957.40803 -1.76566 (195*2π)/2481 weeks
1963.19393 8.72757 (196*2π)/2481 weeks
197-5.47309 3.92637 (197*2π)/2481 weeks
198-6.06806 -.54718 (198*2π)/2481 weeks
199-1.83416 -8.2733 (199*2π)/2481 weeks
2008.56236 -1.03451 (200*2π)/2481 weeks
201.34851 9.48816 (201*2π)/2481 weeks
202-8.81246 -.71939 (202*2π)/2481 weeks
2033.20673 -5.60669 (203*2π)/2481 weeks
2043.39325 3.80041 (204*2π)/2481 weeks
205-4.43204 1.29319 (205*2π)/2481 weeks
2062.29458 -4.25926 (206*2π)/2481 weeks
2071.99503 7.84593 (207*2π)/2481 weeks
208-9.79719 .72234 (208*2π)/2481 weeks
2091.13462 -7.93868 (209*2π)/2481 weeks
2104.98243 5.92612 (210*2π)/2481 weeks
211-5.98454 .195 (211*2π)/2481 weeks
2122.4857 -4.01484 (212*2π)/2481 weeks
2133.87965 .02742 (213*2π)/2481 weeks
2142.58829 5.09997 (214*2π)/2481 weeks
215.85716 1.56267 (215*2π)/2481 weeks
216-1.37439 6.03386 (216*2π)/2481 weeks
217-7.83019 -1.43586 (217*2π)/2481 weeks
2181.13392 -9.36244 (218*2π)/2481 weeks
21911.985 3.76488 (219*2π)/2481 weeks
220-6.02837 16.04377 (220*2π)/2481 weeks
221-14.4196 -3.04148 (221*2π)/2481 weeks
2222.32047 -12.44449 (222*2π)/2481 weeks
2235.39242 3.1552 (223*2π)/2481 weeks
224-5.58771 -1.04206 (224*2π)/2481 weeks
2251.0953 -9.24535 (225*2π)/2481 weeks
22619.52779 1.98312 (226*2π)/2481 weeks
227-4.36589 22.98604 (227*2π)/2481 weeks
228-17.93962 -5.20652 (228*2π)/2481 weeks
2296.78338 -11.42967 (229*2π)/2481 weeks
230.53285 11.6971 (230*2π)/2481 weeks
231-3.789 -5.93778 (231*2π)/2481 weeks
2322.53373 9.67059 (232*2π)/2481 weeks
233-12.39885 -3.31808 (233*2π)/2481 weeks
234-1.71922 -12.25412 (234*2π)/2481 weeks
2359.53575 -1.81227 (235*2π)/2481 weeks
236-8.99886 10.76187 (236*2π)/2481 weeks
237-11.18162 -16.10822 (237*2π)/2481 weeks
23820.97282 -5.97957 (238*2π)/2481 weeks
239-2.72458 18.32245 (239*2π)/2481 weeks
2405.57293 -.32045 (240*2π)/2481 weeks
241-15.26138 21.47538 (241*2π)/2481 weeks
242-14.19124 -22.54141 (242*2π)/2481 weeks
243-.58192 -14.52121 (243*2π)/2481 weeks
24435.45819 -7.99272 (244*2π)/2481 weeks
24527.63565 83.53204 (245*2π)/2481 weeks
246-175.6287 81.54638 (246*2π)/2481 weeks



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