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# Fourier Analysis of AAMC (Altisource Asset Management Corporation)

AAMC (Altisource Asset Management Corporation) appears to have interesting cyclic behaviour every 12 weeks (19.3578*sine), 24 weeks (18.6911*sine), and 26 weeks (17.3217*cosine).

AAMC (Altisource Asset Management Corporation) has an average price of 256.34 (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.

## Fourier Analysis

Using data from 12/13/2012 to 5/14/2018 for AAMC (Altisource Asset Management Corporation), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0256.3374   0
126.1614 350.605 (1*2π)/284284 weeks
2-218.0872 -3.79995 (2*2π)/284142 weeks
3-29.64839 -95.69389 (3*2π)/28495 weeks
441.42756 -19.58419 (4*2π)/28471 weeks
517.10795 20.34318 (5*2π)/28457 weeks
6.31748 12.53799 (6*2π)/28447 weeks
7-17.14642 19.52414 (7*2π)/28441 weeks
8-13.69603 -17.35807 (8*2π)/28436 weeks
96.96037 -2.17057 (9*2π)/28432 weeks
10-8.75622 -7.57532 (10*2π)/28428 weeks
1117.3217 -6.97762 (11*2π)/28426 weeks
127.94169 18.6911 (12*2π)/28424 weeks
13-13.40225 5.6194 (13*2π)/28422 weeks
14-1.41462 -10.80551 (14*2π)/28420 weeks
158.09463 3.48687 (15*2π)/28419 weeks
16-.5229 11.11697 (16*2π)/28418 weeks
17-9.00297 4.64181 (17*2π)/28417 weeks
18-4.53515 -10.17452 (18*2π)/28416 weeks
193.63879 2.83247 (19*2π)/28415 weeks
20-8.87819 -2.16522 (20*2π)/28414 weeks
218.01091 -5.89482 (21*2π)/28414 weeks
22.74372 12.73089 (22*2π)/28413 weeks
23-16.74597 2.97867 (23*2π)/28412 weeks
24-5.0688 -19.35783 (24*2π)/28412 weeks
2516.96094 -6.70863 (25*2π)/28411 weeks
265.23171 9.42057 (26*2π)/28411 weeks
27-3.25079 4.93553 (27*2π)/28411 weeks
28-2.27594 -3.57967 (28*2π)/28410 weeks
296.80333 1.4138 (29*2π)/28410 weeks
30-1.86912 12.08196 (30*2π)/2849 weeks
31-12.72607 1.64833 (31*2π)/2849 weeks
32-6.58597 -13.60075 (32*2π)/2849 weeks
339.48178 -6.68957 (33*2π)/2849 weeks
345.29358 6.95207 (34*2π)/2848 weeks
35-5.52913 5.13386 (35*2π)/2848 weeks
36-6.70326 -2.83028 (36*2π)/2848 weeks
37.21053 -3.47983 (37*2π)/2848 weeks
38-.07393 -.56209 (38*2π)/2847 weeks
392.93392 -3.80233 (39*2π)/2847 weeks
403.555 -.00544 (40*2π)/2847 weeks
412.69053 2.60519 (41*2π)/2847 weeks
42-4.18253 3.60629 (42*2π)/2847 weeks
43-2.24025 -4.90777 (43*2π)/2847 weeks
447.12128 1.90065 (44*2π)/2846 weeks
45-2.38586 7.24084 (45*2π)/2846 weeks
46-7.58767 -3.00151 (46*2π)/2846 weeks
472.40049 -6.60296 (47*2π)/2846 weeks
482.89454 3.33941 (48*2π)/2846 weeks
49-3.92687 .68756 (49*2π)/2846 weeks
50.07449 -4.24398 (50*2π)/2846 weeks
514.43627 1.09523 (51*2π)/2846 weeks
52-2.18319 6.89486 (52*2π)/2845 weeks
53-7.09124 -2.71418 (53*2π)/2845 weeks
542.68873 -7.60416 (54*2π)/2845 weeks
557.58894 1.37383 (55*2π)/2845 weeks
56-.36562 7.59843 (56*2π)/2845 weeks
57-5.56195 1.80866 (57*2π)/2845 weeks
58-5.02362 -1.53833 (58*2π)/2845 weeks
59-2.70917 -6.51972 (59*2π)/2845 weeks
606.34712 -3.94296 (60*2π)/2845 weeks
615.43446 4.15443 (61*2π)/2845 weeks
62-1.9405 5.02771 (62*2π)/2845 weeks
63-4.21752 -.06895 (63*2π)/2845 weeks
64-.9559 -2.68113 (64*2π)/2844 weeks
652.30188 -.56751 (65*2π)/2844 weeks
66-1.43348 3.37046 (66*2π)/2844 weeks
67-2.55065 -3.19411 (67*2π)/2844 weeks
684.49962 -1.27488 (68*2π)/2844 weeks
69-.25096 2.94193 (69*2π)/2844 weeks
70-1.44265 1.36924 (70*2π)/2844 weeks
71-.99492 .52936 (71*2π)/2844 weeks
72.36886 -.95688 (72*2π)/2844 weeks
73-.60845 .05443 (73*2π)/2844 weeks
74-2.54131 -1.35008 (74*2π)/2844 weeks
753.80958 -3.36582 (75*2π)/2844 weeks
764.8926 5.44266 (76*2π)/2844 weeks
77-4.03138 4.14195 (77*2π)/2844 weeks
78-3.84404 -2.23845 (78*2π)/2844 weeks
79.49825 -2.74229 (79*2π)/2844 weeks
802.57525 .97939 (80*2π)/2844 weeks
81-1.93503 1.09829 (81*2π)/2844 weeks
82.54036 -2.68498 (82*2π)/2843 weeks
832.40818 2.41605 (83*2π)/2843 weeks
84-1.8568 3.91101 (84*2π)/2843 weeks
85-4.1814 -.4202 (85*2π)/2843 weeks
86-.01142 -4.0942 (86*2π)/2843 weeks
871.59843 .08872 (87*2π)/2843 weeks
88.70443 -.50068 (88*2π)/2843 weeks
892.06294 1.36922 (89*2π)/2843 weeks
90-1.88558 3.33751 (90*2π)/2843 weeks
91-4.0153 -1.27321 (91*2π)/2843 weeks
92.68337 -1.98827 (92*2π)/2843 weeks
93-.08726 -.57023 (93*2π)/2843 weeks
942.32706 -1.2022 (94*2π)/2843 weeks
951.93365 3.02609 (95*2π)/2843 weeks
96-2.40154 3.00321 (96*2π)/2843 weeks
97-4.13272 .10512 (97*2π)/2843 weeks
98-.94119 -3.06065 (98*2π)/2843 weeks
991.7765 -.58306 (99*2π)/2843 weeks
100.18555 1.20461 (100*2π)/2843 weeks
101-2.0416 .95929 (101*2π)/2843 weeks
102-1.68345 -2.00643 (102*2π)/2843 weeks
1031.12087 -1.67118 (103*2π)/2843 weeks
1041.34505 .38198 (104*2π)/2843 weeks
105-.02067 1.09583 (105*2π)/2843 weeks
106-.48328 -.39253 (106*2π)/2843 weeks
107.20973 .32039 (107*2π)/2843 weeks
108-.28414 .27788 (108*2π)/2843 weeks
109.0865 .34636 (109*2π)/2843 weeks
110-.60963 -.20836 (110*2π)/2843 weeks
111.97936 .23279 (111*2π)/2843 weeks
112-.74644 3.55959 (112*2π)/2843 weeks
113-4.78987 -.29262 (113*2π)/2843 weeks
114-.57378 -4.94054 (114*2π)/2842 weeks
1152.96596 -.4926 (115*2π)/2842 weeks
116.28865 2.39755 (116*2π)/2842 weeks
117-2.79754 .91039 (117*2π)/2842 weeks
118-1.24795 -2.46391 (118*2π)/2842 weeks
1191.28275 -.35581 (119*2π)/2842 weeks
120-.17712 -.16205 (120*2π)/2842 weeks
1212.92447 -.93461 (121*2π)/2842 weeks
1221.34358 4.32355 (122*2π)/2842 weeks
123-4.94241 1.8228 (123*2π)/2842 weeks
124-2.07004 -3.53509 (124*2π)/2842 weeks
1251.32718 -1.18617 (125*2π)/2842 weeks
126.79366 1.21941 (126*2π)/2842 weeks
127-.90236 2.81686 (127*2π)/2842 weeks
128-4.22774 -.46965 (128*2π)/2842 weeks
129.92886 -4.32496 (129*2π)/2842 weeks
1302.76745 1.51238 (130*2π)/2842 weeks
131-2.65364 1.41305 (131*2π)/2842 weeks
132-.55168 -2.3673 (132*2π)/2842 weeks
1332.44061 .01878 (133*2π)/2842 weeks
134.5012 1.80633 (134*2π)/2842 weeks
135-1.26803 1.44262 (135*2π)/2842 weeks
136-1.98801 -.11328 (136*2π)/2842 weeks
137.14225 -1.38362 (137*2π)/2842 weeks
1381.86035 -.56937 (138*2π)/2842 weeks
139.43802 2.20202 (139*2π)/2842 weeks
140-2.32922 1.33483 (140*2π)/2842 weeks
141-.98391 .38556 (141*2π)/2842 weeks
142-.62897   (142*2π)/2842 weeks
143-.98391 -.38556 (143*2π)/2842 weeks
144-2.32922 -1.33483 (144*2π)/2842 weeks
145.43802 -2.20202 (145*2π)/2842 weeks
1461.86035 .56937 (146*2π)/2842 weeks
147.14225 1.38362 (147*2π)/2842 weeks
148-1.98801 .11328 (148*2π)/2842 weeks
149-1.26803 -1.44262 (149*2π)/2842 weeks
150.5012 -1.80633 (150*2π)/2842 weeks
1512.44061 -.01878 (151*2π)/2842 weeks
152-.55168 2.3673 (152*2π)/2842 weeks
153-2.65364 -1.41305 (153*2π)/2842 weeks
1542.76745 -1.51238 (154*2π)/2842 weeks
155.92886 4.32496 (155*2π)/2842 weeks
156-4.22774 .46965 (156*2π)/2842 weeks
157-.90236 -2.81686 (157*2π)/2842 weeks
158.79366 -1.21941 (158*2π)/2842 weeks
1591.32718 1.18617 (159*2π)/2842 weeks
160-2.07004 3.53509 (160*2π)/2842 weeks
161-4.94241 -1.8228 (161*2π)/2842 weeks
1621.34358 -4.32355 (162*2π)/2842 weeks
1632.92447 .93461 (163*2π)/2842 weeks
164-.17712 .16205 (164*2π)/2842 weeks
1651.28275 .35581 (165*2π)/2842 weeks
166-1.24795 2.46391 (166*2π)/2842 weeks
167-2.79754 -.91039 (167*2π)/2842 weeks
168.28865 -2.39755 (168*2π)/2842 weeks
1692.96596 .4926 (169*2π)/2842 weeks
170-.57378 4.94054 (170*2π)/2842 weeks
171-4.78987 .29262 (171*2π)/2842 weeks
172-.74644 -3.55959 (172*2π)/2842 weeks
173.97936 -.23279 (173*2π)/2842 weeks
174-.60963 .20836 (174*2π)/2842 weeks
175.0865 -.34636 (175*2π)/2842 weeks
176-.28414 -.27788 (176*2π)/2842 weeks
177.20973 -.32039 (177*2π)/2842 weeks
178-.48328 .39253 (178*2π)/2842 weeks
179-.02067 -1.09583 (179*2π)/2842 weeks
1801.34505 -.38198 (180*2π)/2842 weeks
1811.12087 1.67118 (181*2π)/2842 weeks
182-1.68345 2.00643 (182*2π)/2842 weeks
183-2.0416 -.95929 (183*2π)/2842 weeks
184.18555 -1.20461 (184*2π)/2842 weeks
1851.7765 .58306 (185*2π)/2842 weeks
186-.94119 3.06065 (186*2π)/2842 weeks
187-4.13272 -.10512 (187*2π)/2842 weeks
188-2.40154 -3.00321 (188*2π)/2842 weeks
1891.93365 -3.02609 (189*2π)/2842 weeks
1902.32706 1.2022 (190*2π)/2841 weeks
191-.08726 .57023 (191*2π)/2841 weeks
192.68337 1.98827 (192*2π)/2841 weeks
193-4.0153 1.27321 (193*2π)/2841 weeks
194-1.88558 -3.33751 (194*2π)/2841 weeks
1952.06294 -1.36922 (195*2π)/2841 weeks
196.70443 .50068 (196*2π)/2841 weeks
1971.59843 -.08872 (197*2π)/2841 weeks
198-.01142 4.0942 (198*2π)/2841 weeks
199-4.1814 .4202 (199*2π)/2841 weeks
200-1.8568 -3.91101 (200*2π)/2841 weeks
2012.40818 -2.41605 (201*2π)/2841 weeks
202.54036 2.68498 (202*2π)/2841 weeks
203-1.93503 -1.09829 (203*2π)/2841 weeks
2042.57525 -.97939 (204*2π)/2841 weeks
205.49825 2.74229 (205*2π)/2841 weeks
206-3.84404 2.23845 (206*2π)/2841 weeks
207-4.03138 -4.14195 (207*2π)/2841 weeks
2084.8926 -5.44266 (208*2π)/2841 weeks
2093.80958 3.36582 (209*2π)/2841 weeks
210-2.54131 1.35008 (210*2π)/2841 weeks
211-.60845 -.05443 (211*2π)/2841 weeks
212.36886 .95688 (212*2π)/2841 weeks
213-.99492 -.52936 (213*2π)/2841 weeks
214-1.44265 -1.36924 (214*2π)/2841 weeks
215-.25096 -2.94193 (215*2π)/2841 weeks
2164.49962 1.27488 (216*2π)/2841 weeks
217-2.55065 3.19411 (217*2π)/2841 weeks
218-1.43348 -3.37046 (218*2π)/2841 weeks
2192.30188 .56751 (219*2π)/2841 weeks
220-.9559 2.68113 (220*2π)/2841 weeks
221-4.21752 .06895 (221*2π)/2841 weeks
222-1.9405 -5.02771 (222*2π)/2841 weeks
2235.43446 -4.15443 (223*2π)/2841 weeks
2246.34712 3.94296 (224*2π)/2841 weeks
225-2.70917 6.51972 (225*2π)/2841 weeks
226-5.02362 1.53833 (226*2π)/2841 weeks
227-5.56195 -1.80866 (227*2π)/2841 weeks
228-.36562 -7.59843 (228*2π)/2841 weeks
2297.58894 -1.37383 (229*2π)/2841 weeks
2302.68873 7.60416 (230*2π)/2841 weeks
231-7.09124 2.71418 (231*2π)/2841 weeks
232-2.18319 -6.89486 (232*2π)/2841 weeks
2334.43627 -1.09523 (233*2π)/2841 weeks
234.07449 4.24398 (234*2π)/2841 weeks
235-3.92687 -.68756 (235*2π)/2841 weeks
2362.89454 -3.33941 (236*2π)/2841 weeks
2372.40049 6.60296 (237*2π)/2841 weeks
238-7.58767 3.00151 (238*2π)/2841 weeks
239-2.38586 -7.24084 (239*2π)/2841 weeks
2407.12128 -1.90065 (240*2π)/2841 weeks
241-2.24025 4.90777 (241*2π)/2841 weeks
242-4.18253 -3.60629 (242*2π)/2841 weeks
2432.69053 -2.60519 (243*2π)/2841 weeks
2443.555 .00544 (244*2π)/2841 weeks
2452.93392 3.80233 (245*2π)/2841 weeks
246-.07393 .56209 (246*2π)/2841 weeks
247.21053 3.47983 (247*2π)/2841 weeks
248-6.70326 2.83028 (248*2π)/2841 weeks
249-5.52913 -5.13386 (249*2π)/2841 weeks
2505.29358 -6.95207 (250*2π)/2841 weeks
2519.48178 6.68957 (251*2π)/2841 weeks
252-6.58597 13.60075 (252*2π)/2841 weeks
253-12.72607 -1.64833 (253*2π)/2841 weeks
254-1.86912 -12.08196 (254*2π)/2841 weeks
2556.80333 -1.4138 (255*2π)/2841 weeks
256-2.27594 3.57967 (256*2π)/2841 weeks
257-3.25079 -4.93553 (257*2π)/2841 weeks
2585.23171 -9.42057 (258*2π)/2841 weeks
25916.96094 6.70863 (259*2π)/2841 weeks
260-5.0688 19.35783 (260*2π)/2841 weeks
261-16.74597 -2.97867 (261*2π)/2841 weeks
262.74372 -12.73089 (262*2π)/2841 weeks
2638.01091 5.89482 (263*2π)/2841 weeks
264-8.87819 2.16522 (264*2π)/2841 weeks
2653.63879 -2.83247 (265*2π)/2841 weeks
266-4.53515 10.17452 (266*2π)/2841 weeks
267-9.00297 -4.64181 (267*2π)/2841 weeks
268-.5229 -11.11697 (268*2π)/2841 weeks
2698.09463 -3.48687 (269*2π)/2841 weeks
270-1.41462 10.80551 (270*2π)/2841 weeks
271-13.40225 -5.6194 (271*2π)/2841 weeks
2727.94169 -18.6911 (272*2π)/2841 weeks
27317.3217 6.97762 (273*2π)/2841 weeks
274-8.75622 7.57532 (274*2π)/2841 weeks
2756.96037 2.17057 (275*2π)/2841 weeks
276-13.69603 17.35807 (276*2π)/2841 weeks
277-17.14642 -19.52414 (277*2π)/2841 weeks
278.31748 -12.53799 (278*2π)/2841 weeks
27917.10795 -20.34318 (279*2π)/2841 weeks
28041.42756 19.58419 (280*2π)/2841 weeks
281-29.64839 95.69389 (281*2π)/2841 weeks
282-218.0872 3.79995 (282*2π)/2841 weeks