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# Fourier Analysis of MC (Moelis & Company)

MC (Moelis & Company) appears to have interesting cyclic behaviour every 21 weeks (1.2394*sine), 18 weeks (1.0726*sine), and 19 weeks (.7733*sine).

MC (Moelis & Company) has an average price of 29.07 (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 4/16/2014 to 4/23/2018 for MC (Moelis & Company), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
029.06633   0
17.58163 -6.63811 (1*2π)/211211 weeks
2.2309 -4.58042 (2*2π)/211106 weeks
3.34733 -2.40352 (3*2π)/21170 weeks
4.24015 -3.33735 (4*2π)/21153 weeks
5-.92194 -2.43925 (5*2π)/21142 weeks
6-.06082 -1.29136 (6*2π)/21135 weeks
7-.34452 -1.66691 (7*2π)/21130 weeks
8-.60081 -1.15901 (8*2π)/21126 weeks
9-.67287 -.87604 (9*2π)/21123 weeks
10.32894 -1.23941 (10*2π)/21121 weeks
11-.49624 -.7733 (11*2π)/21119 weeks
12.04033 -1.07264 (12*2π)/21118 weeks
13-.30149 -.55185 (13*2π)/21116 weeks
14-.22589 -.40387 (14*2π)/21115 weeks
15-.18064 -.70706 (15*2π)/21114 weeks
16-.5174 -.70265 (16*2π)/21113 weeks
17-.2096 -.69159 (17*2π)/21112 weeks
18-.18439 -.60843 (18*2π)/21112 weeks
19-.03364 -.46013 (19*2π)/21111 weeks
20-.10283 -.52244 (20*2π)/21111 weeks
21.2499 -.84561 (21*2π)/21110 weeks
22-.06914 -.60256 (22*2π)/21110 weeks
23-.1572 -.49485 (23*2π)/2119 weeks
24-.06796 -.44673 (24*2π)/2119 weeks
25-.13731 -.34954 (25*2π)/2118 weeks
26-.2428 -.48207 (26*2π)/2118 weeks
27-.02862 -.42822 (27*2π)/2118 weeks
28.14152 -.55005 (28*2π)/2118 weeks
29-.00035 -.29872 (29*2π)/2117 weeks
30-.07153 -.30027 (30*2π)/2117 weeks
31-.23898 -.4178 (31*2π)/2117 weeks
32-.2495 -.22105 (32*2π)/2117 weeks
33-.21843 -.42576 (33*2π)/2116 weeks
34-.21595 -.49083 (34*2π)/2116 weeks
35-.36014 -.25809 (35*2π)/2116 weeks
36-.03438 -.33067 (36*2π)/2116 weeks
37-.1878 -.36203 (37*2π)/2116 weeks
38-.20431 -.14994 (38*2π)/2116 weeks
39-.27543 -.2637 (39*2π)/2115 weeks
40-.17805 -.30268 (40*2π)/2115 weeks
41-.23041 -.27913 (41*2π)/2115 weeks
42-.14678 -.39288 (42*2π)/2115 weeks
43-.09312 -.20885 (43*2π)/2115 weeks
44-.20761 -.19479 (44*2π)/2115 weeks
45-.08744 -.22067 (45*2π)/2115 weeks
46-.20383 -.07224 (46*2π)/2115 weeks
47-.15692 -.13213 (47*2π)/2114 weeks
48-.15781 -.20465 (48*2π)/2114 weeks
49-.36397 -.21953 (49*2π)/2114 weeks
50-.21407 -.09578 (50*2π)/2114 weeks
51-.304 -.16962 (51*2π)/2114 weeks
52-.06417 -.09353 (52*2π)/2114 weeks
53-.06384 .04503 (53*2π)/2114 weeks
54-.13748 -.18138 (54*2π)/2114 weeks
55-.16912 -.08997 (55*2π)/2114 weeks
56-.02014 -.27434 (56*2π)/2114 weeks
57-.09931 -.25047 (57*2π)/2114 weeks
58-.08504 .02087 (58*2π)/2114 weeks
59-.07429 -.22243 (59*2π)/2114 weeks
60-.104 -.15497 (60*2π)/2114 weeks
61-.25623 -.24068 (61*2π)/2113 weeks
62-.15086 -.204 (62*2π)/2113 weeks
63-.14256 -.18226 (63*2π)/2113 weeks
64-.26855 -.12612 (64*2π)/2113 weeks
65-.23613 -.0367 (65*2π)/2113 weeks
66-.20884 -.05131 (66*2π)/2113 weeks
67-.23466 -.15337 (67*2π)/2113 weeks
68-.26108 -.18219 (68*2π)/2113 weeks
69-.26033 .0034 (69*2π)/2113 weeks
70-.20001 -.14726 (70*2π)/2113 weeks
71-.23334 -.05724 (71*2π)/2113 weeks
72-.21803 -.13823 (72*2π)/2113 weeks
73-.24687 .01651 (73*2π)/2113 weeks
74-.1722 .00447 (74*2π)/2113 weeks
75-.16781 -.10952 (75*2π)/2113 weeks
76-.12253 -.00428 (76*2π)/2113 weeks
77-.08965 -.01414 (77*2π)/2113 weeks
78-.09179 -.09416 (78*2π)/2113 weeks
79-.09728 -.00798 (79*2π)/2113 weeks
80-.19631 .00806 (80*2π)/2113 weeks
81-.20148 .07348 (81*2π)/2113 weeks
82-.1526 -.02701 (82*2π)/2113 weeks
83-.14045 -.13516 (83*2π)/2113 weeks
84-.20828 -.06971 (84*2π)/2113 weeks
85-.15383 .04596 (85*2π)/2112 weeks
86-.14138 -.03428 (86*2π)/2112 weeks
87-.18998 -.12534 (87*2π)/2112 weeks
88-.1691 -.05905 (88*2π)/2112 weeks
89-.12126 .00987 (89*2π)/2112 weeks
90-.0319 -.03791 (90*2π)/2112 weeks
91-.11829 -.06987 (91*2π)/2112 weeks
92-.20663 -.02255 (92*2π)/2112 weeks
93-.1258 -.05013 (93*2π)/2112 weeks
94-.19797 -.12748 (94*2π)/2112 weeks
95-.15254 -.08551 (95*2π)/2112 weeks
96-.15496 -.07211 (96*2π)/2112 weeks
97-.10459 -.03315 (97*2π)/2112 weeks
98-.15983 -.03101 (98*2π)/2112 weeks
99-.08945 -.06726 (99*2π)/2112 weeks
100-.2162 -.00057 (100*2π)/2112 weeks
101-.17831 .01248 (101*2π)/2112 weeks
102-.19311 .00877 (102*2π)/2112 weeks
103-.24733 -.08922 (103*2π)/2112 weeks
104-.13199 -.01669 (104*2π)/2112 weeks
105-.27382 .00114 (105*2π)/2112 weeks
106-.27382 -.00114 (106*2π)/2112 weeks
107-.13199 .01669 (107*2π)/2112 weeks
108-.24733 .08922 (108*2π)/2112 weeks
109-.19311 -.00877 (109*2π)/2112 weeks
110-.17831 -.01248 (110*2π)/2112 weeks
111-.2162 .00057 (111*2π)/2112 weeks
112-.08945 .06726 (112*2π)/2112 weeks
113-.15983 .03101 (113*2π)/2112 weeks
114-.10459 .03315 (114*2π)/2112 weeks
115-.15496 .07211 (115*2π)/2112 weeks
116-.15254 .08551 (116*2π)/2112 weeks
117-.19797 .12748 (117*2π)/2112 weeks
118-.1258 .05013 (118*2π)/2112 weeks
119-.20663 .02255 (119*2π)/2112 weeks
120-.11829 .06987 (120*2π)/2112 weeks
121-.0319 .03791 (121*2π)/2112 weeks
122-.12126 -.00987 (122*2π)/2112 weeks
123-.1691 .05905 (123*2π)/2112 weeks
124-.18998 .12534 (124*2π)/2112 weeks
125-.14138 .03428 (125*2π)/2112 weeks
126-.15383 -.04596 (126*2π)/2112 weeks
127-.20828 .06971 (127*2π)/2112 weeks
128-.14045 .13516 (128*2π)/2112 weeks
129-.1526 .02701 (129*2π)/2112 weeks
130-.20148 -.07348 (130*2π)/2112 weeks
131-.19631 -.00806 (131*2π)/2112 weeks
132-.09728 .00798 (132*2π)/2112 weeks
133-.09179 .09416 (133*2π)/2112 weeks
134-.08965 .01414 (134*2π)/2112 weeks
135-.12253 .00428 (135*2π)/2112 weeks
136-.16781 .10952 (136*2π)/2112 weeks
137-.1722 -.00447 (137*2π)/2112 weeks
138-.24687 -.01651 (138*2π)/2112 weeks
139-.21803 .13823 (139*2π)/2112 weeks
140-.23334 .05724 (140*2π)/2112 weeks
141-.20001 .14726 (141*2π)/2111 weeks
142-.26033 -.0034 (142*2π)/2111 weeks
143-.26108 .18219 (143*2π)/2111 weeks
144-.23466 .15337 (144*2π)/2111 weeks
145-.20884 .05131 (145*2π)/2111 weeks
146-.23613 .0367 (146*2π)/2111 weeks
147-.26855 .12612 (147*2π)/2111 weeks
148-.14256 .18226 (148*2π)/2111 weeks
149-.15086 .204 (149*2π)/2111 weeks
150-.25623 .24068 (150*2π)/2111 weeks
151-.104 .15497 (151*2π)/2111 weeks
152-.07429 .22243 (152*2π)/2111 weeks
153-.08504 -.02087 (153*2π)/2111 weeks
154-.09931 .25047 (154*2π)/2111 weeks
155-.02014 .27434 (155*2π)/2111 weeks
156-.16912 .08997 (156*2π)/2111 weeks
157-.13748 .18138 (157*2π)/2111 weeks
158-.06384 -.04503 (158*2π)/2111 weeks
159-.06417 .09353 (159*2π)/2111 weeks
160-.304 .16962 (160*2π)/2111 weeks
161-.21407 .09578 (161*2π)/2111 weeks
162-.36397 .21953 (162*2π)/2111 weeks
163-.15781 .20465 (163*2π)/2111 weeks
164-.15692 .13213 (164*2π)/2111 weeks
165-.20383 .07224 (165*2π)/2111 weeks
166-.08744 .22067 (166*2π)/2111 weeks
167-.20761 .19479 (167*2π)/2111 weeks
168-.09312 .20885 (168*2π)/2111 weeks
169-.14678 .39288 (169*2π)/2111 weeks
170-.23041 .27913 (170*2π)/2111 weeks
171-.17805 .30268 (171*2π)/2111 weeks
172-.27543 .2637 (172*2π)/2111 weeks
173-.20431 .14994 (173*2π)/2111 weeks
174-.1878 .36203 (174*2π)/2111 weeks
175-.03438 .33067 (175*2π)/2111 weeks
176-.36014 .25809 (176*2π)/2111 weeks
177-.21595 .49083 (177*2π)/2111 weeks
178-.21843 .42576 (178*2π)/2111 weeks
179-.2495 .22105 (179*2π)/2111 weeks
180-.23898 .4178 (180*2π)/2111 weeks
181-.07153 .30027 (181*2π)/2111 weeks
182-.00035 .29872 (182*2π)/2111 weeks
183.14152 .55005 (183*2π)/2111 weeks
184-.02862 .42822 (184*2π)/2111 weeks
185-.2428 .48207 (185*2π)/2111 weeks
186-.13731 .34954 (186*2π)/2111 weeks
187-.06796 .44673 (187*2π)/2111 weeks
188-.1572 .49485 (188*2π)/2111 weeks
189-.06914 .60256 (189*2π)/2111 weeks
190.2499 .84561 (190*2π)/2111 weeks
191-.10283 .52244 (191*2π)/2111 weeks
192-.03364 .46013 (192*2π)/2111 weeks
193-.18439 .60843 (193*2π)/2111 weeks
194-.2096 .69159 (194*2π)/2111 weeks
195-.5174 .70265 (195*2π)/2111 weeks
196-.18064 .70706 (196*2π)/2111 weeks
197-.22589 .40387 (197*2π)/2111 weeks
198-.30149 .55185 (198*2π)/2111 weeks
199.04033 1.07264 (199*2π)/2111 weeks
200-.49624 .7733 (200*2π)/2111 weeks
201.32894 1.23941 (201*2π)/2111 weeks
202-.67287 .87604 (202*2π)/2111 weeks
203-.60081 1.15901 (203*2π)/2111 weeks
204-.34452 1.66691 (204*2π)/2111 weeks
205-.06082 1.29136 (205*2π)/2111 weeks
206-.92194 2.43925 (206*2π)/2111 weeks
207.24015 3.33735 (207*2π)/2111 weeks
208.34733 2.40352 (208*2π)/2111 weeks
209.2309 4.58042 (209*2π)/2111 weeks