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# Fourier Analysis of MCP (Molycorp Inc)

MCP (Molycorp Inc) appears to have interesting cyclic behaviour every 15 weeks (1.2249*cosine), 13 weeks (1.211*cosine), and 7 weeks (.7992*cosine).

MCP (Molycorp Inc) has an average price of 18.23 (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 7/29/2010 to 6/22/2015 for MCP (Molycorp Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
018.23286   0
15.94378 21.58416 (1*2π)/257257 weeks
2-6.90859 10.42439 (2*2π)/257129 weeks
3-4.6154 2.92931 (3*2π)/25786 weeks
4-3.3671 -.52643 (4*2π)/25764 weeks
5.27502 -1.34858 (5*2π)/25751 weeks
61.10144 1.39332 (6*2π)/25743 weeks
7-.98426 1.66132 (7*2π)/25737 weeks
8-.19751 .05327 (8*2π)/25732 weeks
9-.19839 .76468 (9*2π)/25729 weeks
10-.63805 .80885 (10*2π)/25726 weeks
11-.66273 .04089 (11*2π)/25723 weeks
12.03244 -.22736 (12*2π)/25721 weeks
13.23147 .20708 (13*2π)/25720 weeks
14.4595 .58338 (14*2π)/25718 weeks
15-.18099 1.12772 (15*2π)/25717 weeks
16-1.04909 .90002 (16*2π)/25716 weeks
17-1.22493 -.62492 (17*2π)/25715 weeks
18-.15347 -.8258 (18*2π)/25714 weeks
19.09107 -.7111 (19*2π)/25714 weeks
201.21103 -.30732 (20*2π)/25713 weeks
21.38509 .87573 (21*2π)/25712 weeks
22-.17381 .07784 (22*2π)/25712 weeks
23.61907 .42946 (23*2π)/25711 weeks
24-.34207 .59144 (24*2π)/25711 weeks
25-.17466 .04667 (25*2π)/25710 weeks
26.19985 -.07404 (26*2π)/25710 weeks
27.16256 .40678 (27*2π)/25710 weeks
28.01865 .49246 (28*2π)/2579 weeks
29-.41913 .24031 (29*2π)/2579 weeks
30-.3259 -.15295 (30*2π)/2579 weeks
31-.14368 -.29733 (31*2π)/2578 weeks
32.02712 -.19415 (32*2π)/2578 weeks
33.10679 -.12752 (33*2π)/2578 weeks
34.06818 -.52248 (34*2π)/2578 weeks
35.79916 -.3107 (35*2π)/2577 weeks
36.75518 .61112 (36*2π)/2577 weeks
37.12412 .77606 (37*2π)/2577 weeks
38-.41241 .31121 (38*2π)/2577 weeks
39.08304 -.15051 (39*2π)/2577 weeks
40.30066 .37478 (40*2π)/2576 weeks
41-.24794 .37494 (41*2π)/2576 weeks
42-.22637 .03051 (42*2π)/2576 weeks
43.03334 -.17044 (43*2π)/2576 weeks
44.23802 .14193 (44*2π)/2576 weeks
45-.16907 .33214 (45*2π)/2576 weeks
46-.17227 -.11276 (46*2π)/2576 weeks
47.06663 -.19581 (47*2π)/2575 weeks
48.32757 -.01931 (48*2π)/2575 weeks
49.2419 .31912 (49*2π)/2575 weeks
50-.02295 .31516 (50*2π)/2575 weeks
51-.25642 .14672 (51*2π)/2575 weeks
52-.16052 -.23796 (52*2π)/2575 weeks
53.22156 -.03322 (53*2π)/2575 weeks
54.11196 .08154 (54*2π)/2575 weeks
55-.02754 .09753 (55*2π)/2575 weeks
56-.12958 -.08711 (56*2π)/2575 weeks
57.12505 -.28522 (57*2π)/2575 weeks
58.47392 -.07051 (58*2π)/2574 weeks
59.40446 .36387 (59*2π)/2574 weeks
60.01618 .41648 (60*2π)/2574 weeks
61-.1614 .25042 (61*2π)/2574 weeks
62-.1647 .13496 (62*2π)/2574 weeks
63-.19198 -.13499 (63*2π)/2574 weeks
64.07752 -.20357 (64*2π)/2574 weeks
65.27316 -.06722 (65*2π)/2574 weeks
66.31519 .22426 (66*2π)/2574 weeks
67.00045 .36774 (67*2π)/2574 weeks
68-.29213 .15635 (68*2π)/2574 weeks
69.00564 -.29544 (69*2π)/2574 weeks
70.31628 .17134 (70*2π)/2574 weeks
71-.05954 .39664 (71*2π)/2574 weeks
72-.29351 .09008 (72*2π)/2574 weeks
73-.23553 -.13636 (73*2π)/2574 weeks
74.02287 -.21549 (74*2π)/2573 weeks
75.15775 -.06426 (75*2π)/2573 weeks
76.12756 -.03172 (76*2π)/2573 weeks
77.14999 .0466 (77*2π)/2573 weeks
78.04698 .12728 (78*2π)/2573 weeks
79-.03244 .10822 (79*2π)/2573 weeks
80-.04301 .00452 (80*2π)/2573 weeks
81-.06649 -.07541 (81*2π)/2573 weeks
82.06986 -.09142 (82*2π)/2573 weeks
83.07008 .01807 (83*2π)/2573 weeks
84-.00836 -.12924 (84*2π)/2573 weeks
85.27065 -.02624 (85*2π)/2573 weeks
86.03512 .09119 (86*2π)/2573 weeks
87.01036 .0432 (87*2π)/2573 weeks
88.04651 -.08737 (88*2π)/2573 weeks
89.17567 -.04556 (89*2π)/2573 weeks
90.0656 -.02085 (90*2π)/2573 weeks
91.31601 -.04424 (91*2π)/2573 weeks
92.22673 .37134 (92*2π)/2573 weeks
93-.22622 .20592 (93*2π)/2573 weeks
94-.03945 -.18088 (94*2π)/2573 weeks
95.22927 .03774 (95*2π)/2573 weeks
96-.00764 .17717 (96*2π)/2573 weeks
97-.03191 -.00695 (97*2π)/2573 weeks
98.01195 -.05663 (98*2π)/2573 weeks
99.18478 -.02816 (99*2π)/2573 weeks
100.12128 .15125 (100*2π)/2573 weeks
101.02995 .10322 (101*2π)/2573 weeks
102-.10713 .14092 (102*2π)/2573 weeks
103-.10611 -.17572 (103*2π)/2572 weeks
104.2016 -.13008 (104*2π)/2572 weeks
105.25957 .11218 (105*2π)/2572 weeks
106.12164 .23876 (106*2π)/2572 weeks
107-.21659 .25269 (107*2π)/2572 weeks
108-.20669 -.11232 (108*2π)/2572 weeks
109.09668 -.17487 (109*2π)/2572 weeks
110.12913 .07375 (110*2π)/2572 weeks
111-.01305 .026 (111*2π)/2572 weeks
112-.06055 -.04773 (112*2π)/2572 weeks
113.17512 -.13706 (113*2π)/2572 weeks
114.15356 .19575 (114*2π)/2572 weeks
115-.09541 .10772 (115*2π)/2572 weeks
116-.12543 -.04769 (116*2π)/2572 weeks
117-.02041 -.09247 (117*2π)/2572 weeks
118.05872 -.19592 (118*2π)/2572 weeks
119.25652 -.00775 (119*2π)/2572 weeks
120.02797 .08083 (120*2π)/2572 weeks
121.01753 -.05643 (121*2π)/2572 weeks
122.13755 -.0094 (122*2π)/2572 weeks
123.08607 -.0172 (123*2π)/2572 weeks
124.10076 .09014 (124*2π)/2572 weeks
125.05348 .08376 (125*2π)/2572 weeks
126-.00164 .06299 (126*2π)/2572 weeks
127.02381 .01004 (127*2π)/2572 weeks
128-.01345 .02432 (128*2π)/2572 weeks
129-.01345 -.02432 (129*2π)/2572 weeks
130.02381 -.01004 (130*2π)/2572 weeks
131-.00164 -.06299 (131*2π)/2572 weeks
132.05348 -.08376 (132*2π)/2572 weeks
133.10076 -.09014 (133*2π)/2572 weeks
134.08607 .0172 (134*2π)/2572 weeks
135.13755 .0094 (135*2π)/2572 weeks
136.01753 .05643 (136*2π)/2572 weeks
137.02797 -.08083 (137*2π)/2572 weeks
138.25652 .00775 (138*2π)/2572 weeks
139.05872 .19592 (139*2π)/2572 weeks
140-.02041 .09247 (140*2π)/2572 weeks
141-.12543 .04769 (141*2π)/2572 weeks
142-.09541 -.10772 (142*2π)/2572 weeks
143.15356 -.19575 (143*2π)/2572 weeks
144.17512 .13706 (144*2π)/2572 weeks
145-.06055 .04773 (145*2π)/2572 weeks
146-.01305 -.026 (146*2π)/2572 weeks
147.12913 -.07375 (147*2π)/2572 weeks
148.09668 .17487 (148*2π)/2572 weeks
149-.20669 .11232 (149*2π)/2572 weeks
150-.21659 -.25269 (150*2π)/2572 weeks
151.12164 -.23876 (151*2π)/2572 weeks
152.25957 -.11218 (152*2π)/2572 weeks
153.2016 .13008 (153*2π)/2572 weeks
154-.10611 .17572 (154*2π)/2572 weeks
155-.10713 -.14092 (155*2π)/2572 weeks
156.02995 -.10322 (156*2π)/2572 weeks
157.12128 -.15125 (157*2π)/2572 weeks
158.18478 .02816 (158*2π)/2572 weeks
159.01195 .05663 (159*2π)/2572 weeks
160-.03191 .00695 (160*2π)/2572 weeks
161-.00764 -.17717 (161*2π)/2572 weeks
162.22927 -.03774 (162*2π)/2572 weeks
163-.03945 .18088 (163*2π)/2572 weeks
164-.22622 -.20592 (164*2π)/2572 weeks
165.22673 -.37134 (165*2π)/2572 weeks
166.31601 .04424 (166*2π)/2572 weeks
167.0656 .02085 (167*2π)/2572 weeks
168.17567 .04556 (168*2π)/2572 weeks
169.04651 .08737 (169*2π)/2572 weeks
170.01036 -.0432 (170*2π)/2572 weeks
171.03512 -.09119 (171*2π)/2572 weeks
172.27065 .02624 (172*2π)/2571 weeks
173-.00836 .12924 (173*2π)/2571 weeks
174.07008 -.01807 (174*2π)/2571 weeks
175.06986 .09142 (175*2π)/2571 weeks
176-.06649 .07541 (176*2π)/2571 weeks
177-.04301 -.00452 (177*2π)/2571 weeks
178-.03244 -.10822 (178*2π)/2571 weeks
179.04698 -.12728 (179*2π)/2571 weeks
180.14999 -.0466 (180*2π)/2571 weeks
181.12756 .03172 (181*2π)/2571 weeks
182.15775 .06426 (182*2π)/2571 weeks
183.02287 .21549 (183*2π)/2571 weeks
184-.23553 .13636 (184*2π)/2571 weeks
185-.29351 -.09008 (185*2π)/2571 weeks
186-.05954 -.39664 (186*2π)/2571 weeks
187.31628 -.17134 (187*2π)/2571 weeks
188.00564 .29544 (188*2π)/2571 weeks
189-.29213 -.15635 (189*2π)/2571 weeks
190.00045 -.36774 (190*2π)/2571 weeks
191.31519 -.22426 (191*2π)/2571 weeks
192.27316 .06722 (192*2π)/2571 weeks
193.07752 .20357 (193*2π)/2571 weeks
194-.19198 .13499 (194*2π)/2571 weeks
195-.1647 -.13496 (195*2π)/2571 weeks
196-.1614 -.25042 (196*2π)/2571 weeks
197.01618 -.41648 (197*2π)/2571 weeks
198.40446 -.36387 (198*2π)/2571 weeks
199.47392 .07051 (199*2π)/2571 weeks
200.12505 .28522 (200*2π)/2571 weeks
201-.12958 .08711 (201*2π)/2571 weeks
202-.02754 -.09753 (202*2π)/2571 weeks
203.11196 -.08154 (203*2π)/2571 weeks
204.22156 .03322 (204*2π)/2571 weeks
205-.16052 .23796 (205*2π)/2571 weeks
206-.25642 -.14672 (206*2π)/2571 weeks
207-.02295 -.31516 (207*2π)/2571 weeks
208.2419 -.31912 (208*2π)/2571 weeks
209.32757 .01931 (209*2π)/2571 weeks
210.06663 .19581 (210*2π)/2571 weeks
211-.17227 .11276 (211*2π)/2571 weeks
212-.16907 -.33214 (212*2π)/2571 weeks
213.23802 -.14193 (213*2π)/2571 weeks
214.03334 .17044 (214*2π)/2571 weeks
215-.22637 -.03051 (215*2π)/2571 weeks
216-.24794 -.37494 (216*2π)/2571 weeks
217.30066 -.37478 (217*2π)/2571 weeks
218.08304 .15051 (218*2π)/2571 weeks
219-.41241 -.31121 (219*2π)/2571 weeks
220.12412 -.77606 (220*2π)/2571 weeks
221.75518 -.61112 (221*2π)/2571 weeks
222.79916 .3107 (222*2π)/2571 weeks
223.06818 .52248 (223*2π)/2571 weeks
224.10679 .12752 (224*2π)/2571 weeks
225.02712 .19415 (225*2π)/2571 weeks
226-.14368 .29733 (226*2π)/2571 weeks
227-.3259 .15295 (227*2π)/2571 weeks
228-.41913 -.24031 (228*2π)/2571 weeks
229.01865 -.49246 (229*2π)/2571 weeks
230.16256 -.40678 (230*2π)/2571 weeks
231.19985 .07404 (231*2π)/2571 weeks
232-.17466 -.04667 (232*2π)/2571 weeks
233-.34207 -.59144 (233*2π)/2571 weeks
234.61907 -.42946 (234*2π)/2571 weeks
235-.17381 -.07784 (235*2π)/2571 weeks
236.38509 -.87573 (236*2π)/2571 weeks
2371.21103 .30732 (237*2π)/2571 weeks
238.09107 .7111 (238*2π)/2571 weeks
239-.15347 .8258 (239*2π)/2571 weeks
240-1.22493 .62492 (240*2π)/2571 weeks
241-1.04909 -.90002 (241*2π)/2571 weeks
242-.18099 -1.12772 (242*2π)/2571 weeks
243.4595 -.58338 (243*2π)/2571 weeks
244.23147 -.20708 (244*2π)/2571 weeks
245.03244 .22736 (245*2π)/2571 weeks
246-.66273 -.04089 (246*2π)/2571 weeks
247-.63805 -.80885 (247*2π)/2571 weeks
248-.19839 -.76468 (248*2π)/2571 weeks
249-.19751 -.05327 (249*2π)/2571 weeks
250-.98426 -1.66132 (250*2π)/2571 weeks
2511.10144 -1.39332 (251*2π)/2571 weeks
252.27502 1.34858 (252*2π)/2571 weeks
253-3.3671 .52643 (253*2π)/2571 weeks
254-4.6154 -2.92931 (254*2π)/2571 weeks
255-6.90859 -10.42439 (255*2π)/2571 weeks