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Fourier Analysis of AAMC (Altisource Asset Management Cor)


AAMC (Altisource Asset Management Cor) appears to have interesting cyclic behaviour every 12 weeks (23.1267*cosine), 12 weeks (19.9402*sine), and 22 weeks (17.682*cosine).

AAMC (Altisource Asset Management Cor) has an average price of 309.6 (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 2/13/2017 for AAMC (Altisource Asset Management Cor), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0309.6008   0 
1-174.2043 385.6359 (1*2π)/219219 weeks
2-117.2891 -124.077 (2*2π)/219110 weeks
357.58945 -39.1545 (3*2π)/21973 weeks
415.51927 26.08014 (4*2π)/21955 weeks
5.34029 22.6792 (5*2π)/21944 weeks
6-27.49066 -16.04839 (6*2π)/21937 weeks
78.52105 -.36286 (7*2π)/21931 weeks
8.22015 -20.35728 (8*2π)/21927 weeks
920.56621 15.83236 (9*2π)/21924 weeks
10-17.68202 8.37166 (10*2π)/21922 weeks
115.90497 -11.5574 (11*2π)/21920 weeks
125.51733 11.02082 (12*2π)/21918 weeks
13-11.62229 7.33223 (13*2π)/21917 weeks
14-2.11912 -12.83281 (14*2π)/21916 weeks
15-4.43577 6.81429 (15*2π)/21915 weeks
164.27359 -12.60697 (16*2π)/21914 weeks
17-.23604 16.07694 (17*2π)/21913 weeks
18-23.12666 -8.34101 (18*2π)/21912 weeks
1915.19974 -19.94023 (19*2π)/21912 weeks
207.89296 12.25207 (20*2π)/21911 weeks
21-5.84685 4.45859 (21*2π)/21910 weeks
224.59191 -4.28125 (22*2π)/21910 weeks
231.13561 14.82249 (23*2π)/21910 weeks
24-17.36942 .09642 (24*2π)/2199 weeks
252.68281 -17.87579 (25*2π)/2199 weeks
2611.15253 5.47894 (26*2π)/2198 weeks
27-6.77487 6.51582 (27*2π)/2198 weeks
28-5.33151 -6.38296 (28*2π)/2198 weeks
291.08823 -2.1223 (29*2π)/2198 weeks
302.05314 -5.45618 (30*2π)/2197 weeks
313.71486 .61671 (31*2π)/2197 weeks
32.05609 6.20622 (32*2π)/2197 weeks
33-5.34919 -5.11004 (33*2π)/2197 weeks
348.32949 3.47585 (34*2π)/2196 weeks
35-8.74309 5.95139 (35*2π)/2196 weeks
36-1.57556 -9.52345 (36*2π)/2196 weeks
374.1961 4.2442 (37*2π)/2196 weeks
38-4.86159 -1.70264 (38*2π)/2196 weeks
395.03061 -2.7899 (39*2π)/2196 weeks
40-.77635 8.48142 (40*2π)/2195 weeks
41-8.16272 -6.18432 (41*2π)/2195 weeks
428.61762 -5.509 (42*2π)/2195 weeks
433.05314 9.58233 (43*2π)/2195 weeks
44-6.96253 1.85882 (44*2π)/2195 weeks
45-6.14368 -3.98194 (45*2π)/2195 weeks
465.04689 -9.0803 (46*2π)/2195 weeks
477.17728 4.61648 (47*2π)/2195 weeks
48-4.15608 4.87908 (48*2π)/2195 weeks
49-3.5054 -3.11564 (49*2π)/2194 weeks
502.57826 -2.104 (50*2π)/2194 weeks
51-3.21543 3.22256 (51*2π)/2194 weeks
52.84385 -6.06928 (52*2π)/2194 weeks
531.69199 3.9906 (53*2π)/2194 weeks
54-1.8403 1.06598 (54*2π)/2194 weeks
55-1.95651 -.61232 (55*2π)/2194 weeks
56-.18588 .29256 (56*2π)/2194 weeks
57-2.93771 -1.41226 (57*2π)/2194 weeks
586.78735 -3.09991 (58*2π)/2194 weeks
59-.85212 8.75803 (59*2π)/2194 weeks
60-5.97479 -1.50889 (60*2π)/2194 weeks
611.10713 -3.42232 (61*2π)/2194 weeks
62.95528 3.14508 (62*2π)/2194 weeks
63-1.48211 -2.79979 (63*2π)/2193 weeks
643.32184 2.99657 (64*2π)/2193 weeks
65-4.15175 3.79672 (65*2π)/2193 weeks
66-3.62535 -4.36175 (66*2π)/2193 weeks
672.44185 -.11314 (67*2π)/2193 weeks
681.26243 -.54471 (68*2π)/2193 weeks
691.08165 4.23157 (69*2π)/2193 weeks
70-5.40472 .08175 (70*2π)/2193 weeks
711.15442 -2.31746 (71*2π)/2193 weeks
72.22014 -1.82457 (72*2π)/2193 weeks
733.78411 2.31304 (73*2π)/2193 weeks
74-2.76496 4.07129 (74*2π)/2193 weeks
75-4.99993 -1.54549 (75*2π)/2193 weeks
761.52761 -2.74833 (76*2π)/2193 weeks
77.53304 1.55536 (77*2π)/2193 weeks
78-2.95847 .80466 (78*2π)/2193 weeks
79-.36894 -3.08822 (79*2π)/2193 weeks
801.96372 -.05291 (80*2π)/2193 weeks
81-.20265 1.44717 (81*2π)/2193 weeks
82.09012 -.42254 (82*2π)/2193 weeks
83-.22767 .56053 (83*2π)/2193 weeks
84.09442 .46568 (84*2π)/2193 weeks
85-.3508 -.48007 (85*2π)/2193 weeks
861.49476 2.6373 (86*2π)/2193 weeks
87-6.08237 1.09211 (87*2π)/2193 weeks
88.36835 -6.07839 (88*2π)/2192 weeks
892.97614 1.59062 (89*2π)/2192 weeks
90-2.64948 2.2118 (90*2π)/2192 weeks
91-1.40848 -3.40881 (91*2π)/2192 weeks
921.11979 .06222 (92*2π)/2192 weeks
931.17454 -2.17246 (93*2π)/2192 weeks
942.33215 5.31534 (94*2π)/2192 weeks
95-6.72003 .68485 (95*2π)/2192 weeks
96.66939 -3.67147 (96*2π)/2192 weeks
971.56143 .9049 (97*2π)/2192 weeks
98-1.59066 3.27463 (98*2π)/2192 weeks
99-4.50939 -4.11889 (99*2π)/2192 weeks
1004.55161 -.71931 (100*2π)/2192 weeks
101-3.23528 1.82402 (101*2π)/2192 weeks
102.86242 -3.26769 (102*2π)/2192 weeks
1031.7202 1.87065 (103*2π)/2192 weeks
104-1.37389 1.89855 (104*2π)/2192 weeks
105-2.51426 -1.03917 (105*2π)/2192 weeks
106.82559 -1.65723 (106*2π)/2192 weeks
1071.54894 2.42998 (107*2π)/2192 weeks
108-2.82343 1.26151 (108*2π)/2192 weeks
109-1.54457 .05165 (109*2π)/2192 weeks
110-1.54457 -.05165 (110*2π)/2192 weeks
111-2.82343 -1.26151 (111*2π)/2192 weeks
1121.54894 -2.42998 (112*2π)/2192 weeks
113.82559 1.65723 (113*2π)/2192 weeks
114-2.51426 1.03917 (114*2π)/2192 weeks
115-1.37389 -1.89855 (115*2π)/2192 weeks
1161.7202 -1.87065 (116*2π)/2192 weeks
117.86242 3.26769 (117*2π)/2192 weeks
118-3.23528 -1.82402 (118*2π)/2192 weeks
1194.55161 .71931 (119*2π)/2192 weeks
120-4.50939 4.11889 (120*2π)/2192 weeks
121-1.59066 -3.27463 (121*2π)/2192 weeks
1221.56143 -.9049 (122*2π)/2192 weeks
123.66939 3.67147 (123*2π)/2192 weeks
124-6.72003 -.68485 (124*2π)/2192 weeks
1252.33215 -5.31534 (125*2π)/2192 weeks
1261.17454 2.17246 (126*2π)/2192 weeks
1271.11979 -.06222 (127*2π)/2192 weeks
128-1.40848 3.40881 (128*2π)/2192 weeks
129-2.64948 -2.2118 (129*2π)/2192 weeks
1302.97614 -1.59062 (130*2π)/2192 weeks
131.36835 6.07839 (131*2π)/2192 weeks
132-6.08237 -1.09211 (132*2π)/2192 weeks
1331.49476 -2.6373 (133*2π)/2192 weeks
134-.3508 .48007 (134*2π)/2192 weeks
135.09442 -.46568 (135*2π)/2192 weeks
136-.22767 -.56053 (136*2π)/2192 weeks
137.09012 .42254 (137*2π)/2192 weeks
138-.20265 -1.44717 (138*2π)/2192 weeks
1391.96372 .05291 (139*2π)/2192 weeks
140-.36894 3.08822 (140*2π)/2192 weeks
141-2.95847 -.80466 (141*2π)/2192 weeks
142.53304 -1.55536 (142*2π)/2192 weeks
1431.52761 2.74833 (143*2π)/2192 weeks
144-4.99993 1.54549 (144*2π)/2192 weeks
145-2.76496 -4.07129 (145*2π)/2192 weeks
1463.78411 -2.31304 (146*2π)/2192 weeks
147.22014 1.82457 (147*2π)/2191 weeks
1481.15442 2.31746 (148*2π)/2191 weeks
149-5.40472 -.08175 (149*2π)/2191 weeks
1501.08165 -4.23157 (150*2π)/2191 weeks
1511.26243 .54471 (151*2π)/2191 weeks
1522.44185 .11314 (152*2π)/2191 weeks
153-3.62535 4.36175 (153*2π)/2191 weeks
154-4.15175 -3.79672 (154*2π)/2191 weeks
1553.32184 -2.99657 (155*2π)/2191 weeks
156-1.48211 2.79979 (156*2π)/2191 weeks
157.95528 -3.14508 (157*2π)/2191 weeks
1581.10713 3.42232 (158*2π)/2191 weeks
159-5.97479 1.50889 (159*2π)/2191 weeks
160-.85212 -8.75803 (160*2π)/2191 weeks
1616.78735 3.09991 (161*2π)/2191 weeks
162-2.93771 1.41226 (162*2π)/2191 weeks
163-.18588 -.29256 (163*2π)/2191 weeks
164-1.95651 .61232 (164*2π)/2191 weeks
165-1.8403 -1.06598 (165*2π)/2191 weeks
1661.69199 -3.9906 (166*2π)/2191 weeks
167.84385 6.06928 (167*2π)/2191 weeks
168-3.21543 -3.22256 (168*2π)/2191 weeks
1692.57826 2.104 (169*2π)/2191 weeks
170-3.5054 3.11564 (170*2π)/2191 weeks
171-4.15608 -4.87908 (171*2π)/2191 weeks
1727.17728 -4.61648 (172*2π)/2191 weeks
1735.04689 9.0803 (173*2π)/2191 weeks
174-6.14368 3.98194 (174*2π)/2191 weeks
175-6.96253 -1.85882 (175*2π)/2191 weeks
1763.05314 -9.58233 (176*2π)/2191 weeks
1778.61762 5.509 (177*2π)/2191 weeks
178-8.16272 6.18432 (178*2π)/2191 weeks
179-.77635 -8.48142 (179*2π)/2191 weeks
1805.03061 2.7899 (180*2π)/2191 weeks
181-4.86159 1.70264 (181*2π)/2191 weeks
1824.1961 -4.2442 (182*2π)/2191 weeks
183-1.57556 9.52345 (183*2π)/2191 weeks
184-8.74309 -5.95139 (184*2π)/2191 weeks
1858.32949 -3.47585 (185*2π)/2191 weeks
186-5.34919 5.11004 (186*2π)/2191 weeks
187.05609 -6.20622 (187*2π)/2191 weeks
1883.71486 -.61671 (188*2π)/2191 weeks
1892.05314 5.45618 (189*2π)/2191 weeks
1901.08823 2.1223 (190*2π)/2191 weeks
191-5.33151 6.38296 (191*2π)/2191 weeks
192-6.77487 -6.51582 (192*2π)/2191 weeks
19311.15253 -5.47894 (193*2π)/2191 weeks
1942.68281 17.87579 (194*2π)/2191 weeks
195-17.36942 -.09642 (195*2π)/2191 weeks
1961.13561 -14.82249 (196*2π)/2191 weeks
1974.59191 4.28125 (197*2π)/2191 weeks
198-5.84685 -4.45859 (198*2π)/2191 weeks
1997.89296 -12.25207 (199*2π)/2191 weeks
20015.19974 19.94023 (200*2π)/2191 weeks
201-23.12666 8.34101 (201*2π)/2191 weeks
202-.23604 -16.07694 (202*2π)/2191 weeks
2034.27359 12.60697 (203*2π)/2191 weeks
204-4.43577 -6.81429 (204*2π)/2191 weeks
205-2.11912 12.83281 (205*2π)/2191 weeks
206-11.62229 -7.33223 (206*2π)/2191 weeks
2075.51733 -11.02082 (207*2π)/2191 weeks
2085.90497 11.5574 (208*2π)/2191 weeks
209-17.68202 -8.37166 (209*2π)/2191 weeks
21020.56621 -15.83236 (210*2π)/2191 weeks
211.22015 20.35728 (211*2π)/2191 weeks
2128.52105 .36286 (212*2π)/2191 weeks
213-27.49066 16.04839 (213*2π)/2191 weeks
214.34029 -22.6792 (214*2π)/2191 weeks
21515.51927 -26.08014 (215*2π)/2191 weeks
21657.58945 39.1545 (216*2π)/2191 weeks
217-117.2891 124.077 (217*2π)/2191 weeks

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