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Fourier Analysis of LMLP (UBS ETRACS M Py 2xLvg WF MLP Ex-Engy ETN)


LMLP (UBS ETRACS M Py 2xLvg WF MLP Ex-Engy ETN) appears to have interesting cyclic behaviour every 12 weeks (.2392*cosine), 17 weeks (.186*sine), and 10 weeks (.1732*cosine).

LMLP (UBS ETRACS M Py 2xLvg WF MLP Ex-Engy ETN) has an average price of 13.41 (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 7/10/2014 to 9/5/2017 for LMLP (UBS ETRACS M Py 2xLvg WF MLP Ex-Engy ETN), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
013.41395   0 
12.64737 3.22318 (1*2π)/166166 weeks
2-1.1311 -.56171 (2*2π)/16683 weeks
3.74101 -.83388 (3*2π)/16655 weeks
4.27807 .38233 (4*2π)/16642 weeks
5.19974 .19804 (5*2π)/16633 weeks
6-.00611 -.0369 (6*2π)/16628 weeks
7.31503 -.06009 (7*2π)/16624 weeks
8-.39625 .47205 (8*2π)/16621 weeks
9.19259 -.09766 (9*2π)/16618 weeks
10-.11149 .186 (10*2π)/16617 weeks
11-.02656 .11502 (11*2π)/16615 weeks
12-.0235 .13425 (12*2π)/16614 weeks
13-.13131 -.02197 (13*2π)/16613 weeks
14-.23917 -.054 (14*2π)/16612 weeks
15.16632 -.07104 (15*2π)/16611 weeks
16.04762 .09824 (16*2π)/16610 weeks
17.1732 -.04551 (17*2π)/16610 weeks
18-.00004 .06445 (18*2π)/1669 weeks
19.02165 .06256 (19*2π)/1669 weeks
20.10883 .08049 (20*2π)/1668 weeks
21.05962 .04436 (21*2π)/1668 weeks
22.01336 .18175 (22*2π)/1668 weeks
23-.00217 .04877 (23*2π)/1667 weeks
24-.03174 -.00357 (24*2π)/1667 weeks
25.0616 .03922 (25*2π)/1667 weeks
26.00361 -.04237 (26*2π)/1666 weeks
27.06779 .09812 (27*2π)/1666 weeks
28-.00477 -.01553 (28*2π)/1666 weeks
29-.03715 .07383 (29*2π)/1666 weeks
30-.02158 -.02416 (30*2π)/1666 weeks
31-.09035 .09098 (31*2π)/1665 weeks
32.05875 -.02885 (32*2π)/1665 weeks
33.07275 .135 (33*2π)/1665 weeks
34-.02541 .01831 (34*2π)/1665 weeks
35.01195 .06369 (35*2π)/1665 weeks
36-.10063 .04082 (36*2π)/1665 weeks
37-.02404 .04413 (37*2π)/1664 weeks
38-.11406 .00665 (38*2π)/1664 weeks
39-.0083 -.00533 (39*2π)/1664 weeks
40-.08782 -.02303 (40*2π)/1664 weeks
41.09118 .03221 (41*2π)/1664 weeks
42-.01691 .05732 (42*2π)/1664 weeks
43.06903 -.06014 (43*2π)/1664 weeks
44-.03275 .04258 (44*2π)/1664 weeks
45-.06221 .01714 (45*2π)/1664 weeks
46.04402 .06417 (46*2π)/1664 weeks
47-.04112 -.01696 (47*2π)/1664 weeks
48-.02249 .03642 (48*2π)/1663 weeks
49-.10619 .08124 (49*2π)/1663 weeks
50.05257 .01384 (50*2π)/1663 weeks
51-.01086 .02324 (51*2π)/1663 weeks
52-.06046 -.0356 (52*2π)/1663 weeks
53.03879 -.01054 (53*2π)/1663 weeks
54.0035 .0726 (54*2π)/1663 weeks
55-.00314 -.02988 (55*2π)/1663 weeks
56.05827 .03512 (56*2π)/1663 weeks
57.01232 .04159 (57*2π)/1663 weeks
58.01966 .00192 (58*2π)/1663 weeks
59.05406 .00755 (59*2π)/1663 weeks
60-.04344 .02909 (60*2π)/1663 weeks
61-.00134 -.01542 (61*2π)/1663 weeks
62-.02607 -.03622 (62*2π)/1663 weeks
63-.02486 -.02401 (63*2π)/1663 weeks
64.04424 -.05901 (64*2π)/1663 weeks
65.06738 .0375 (65*2π)/1663 weeks
66.00679 -.03015 (66*2π)/1663 weeks
67.01247 .02098 (67*2π)/1662 weeks
68-.0093 -.00842 (68*2π)/1662 weeks
69-.00753 -.02336 (69*2π)/1662 weeks
70.04295 .05026 (70*2π)/1662 weeks
71-.00415 -.01005 (71*2π)/1662 weeks
72.02972 .01492 (72*2π)/1662 weeks
73-.01374 .06412 (73*2π)/1662 weeks
74-.01261 .05353 (74*2π)/1662 weeks
75.05511 -.0266 (75*2π)/1662 weeks
76-.0107 .01003 (76*2π)/1662 weeks
77-.02103 -.02852 (77*2π)/1662 weeks
78.02259 -.00678 (78*2π)/1662 weeks
79.09926 .03733 (79*2π)/1662 weeks
80-.0842 .05442 (80*2π)/1662 weeks
81.02131 -.05457 (81*2π)/1662 weeks
82.02282 .10942 (82*2π)/1662 weeks
83.01892   (83*2π)/1662 weeks
84.02282 -.10942 (84*2π)/1662 weeks
85.02131 .05457 (85*2π)/1662 weeks
86-.0842 -.05442 (86*2π)/1662 weeks
87.09926 -.03733 (87*2π)/1662 weeks
88.02259 .00678 (88*2π)/1662 weeks
89-.02103 .02852 (89*2π)/1662 weeks
90-.0107 -.01003 (90*2π)/1662 weeks
91.05511 .0266 (91*2π)/1662 weeks
92-.01261 -.05353 (92*2π)/1662 weeks
93-.01374 -.06412 (93*2π)/1662 weeks
94.02972 -.01492 (94*2π)/1662 weeks
95-.00415 .01005 (95*2π)/1662 weeks
96.04295 -.05026 (96*2π)/1662 weeks
97-.00753 .02336 (97*2π)/1662 weeks
98-.0093 .00842 (98*2π)/1662 weeks
99.01247 -.02098 (99*2π)/1662 weeks
100.00679 .03015 (100*2π)/1662 weeks
101.06738 -.0375 (101*2π)/1662 weeks
102.04424 .05901 (102*2π)/1662 weeks
103-.02486 .02401 (103*2π)/1662 weeks
104-.02607 .03622 (104*2π)/1662 weeks
105-.00134 .01542 (105*2π)/1662 weeks
106-.04344 -.02909 (106*2π)/1662 weeks
107.05406 -.00755 (107*2π)/1662 weeks
108.01966 -.00192 (108*2π)/1662 weeks
109.01232 -.04159 (109*2π)/1662 weeks
110.05827 -.03512 (110*2π)/1662 weeks
111-.00314 .02988 (111*2π)/1661 weeks
112.0035 -.0726 (112*2π)/1661 weeks
113.03879 .01054 (113*2π)/1661 weeks
114-.06046 .0356 (114*2π)/1661 weeks
115-.01086 -.02324 (115*2π)/1661 weeks
116.05257 -.01384 (116*2π)/1661 weeks
117-.10619 -.08124 (117*2π)/1661 weeks
118-.02249 -.03642 (118*2π)/1661 weeks
119-.04112 .01696 (119*2π)/1661 weeks
120.04402 -.06417 (120*2π)/1661 weeks
121-.06221 -.01714 (121*2π)/1661 weeks
122-.03275 -.04258 (122*2π)/1661 weeks
123.06903 .06014 (123*2π)/1661 weeks
124-.01691 -.05732 (124*2π)/1661 weeks
125.09118 -.03221 (125*2π)/1661 weeks
126-.08782 .02303 (126*2π)/1661 weeks
127-.0083 .00533 (127*2π)/1661 weeks
128-.11406 -.00665 (128*2π)/1661 weeks
129-.02404 -.04413 (129*2π)/1661 weeks
130-.10063 -.04082 (130*2π)/1661 weeks
131.01195 -.06369 (131*2π)/1661 weeks
132-.02541 -.01831 (132*2π)/1661 weeks
133.07275 -.135 (133*2π)/1661 weeks
134.05875 .02885 (134*2π)/1661 weeks
135-.09035 -.09098 (135*2π)/1661 weeks
136-.02158 .02416 (136*2π)/1661 weeks
137-.03715 -.07383 (137*2π)/1661 weeks
138-.00477 .01553 (138*2π)/1661 weeks
139.06779 -.09812 (139*2π)/1661 weeks
140.00361 .04237 (140*2π)/1661 weeks
141.0616 -.03922 (141*2π)/1661 weeks
142-.03174 .00357 (142*2π)/1661 weeks
143-.00217 -.04877 (143*2π)/1661 weeks
144.01336 -.18175 (144*2π)/1661 weeks
145.05962 -.04436 (145*2π)/1661 weeks
146.10883 -.08049 (146*2π)/1661 weeks
147.02165 -.06256 (147*2π)/1661 weeks
148-.00004 -.06445 (148*2π)/1661 weeks
149.1732 .04551 (149*2π)/1661 weeks
150.04762 -.09824 (150*2π)/1661 weeks
151.16632 .07104 (151*2π)/1661 weeks
152-.23917 .054 (152*2π)/1661 weeks
153-.13131 .02197 (153*2π)/1661 weeks
154-.0235 -.13425 (154*2π)/1661 weeks
155-.02656 -.11502 (155*2π)/1661 weeks
156-.11149 -.186 (156*2π)/1661 weeks
157.19259 .09766 (157*2π)/1661 weeks
158-.39625 -.47205 (158*2π)/1661 weeks
159.31503 .06009 (159*2π)/1661 weeks
160-.00611 .0369 (160*2π)/1661 weeks
161.19974 -.19804 (161*2π)/1661 weeks
162.27807 -.38233 (162*2π)/1661 weeks
163.74101 .83388 (163*2π)/1661 weeks
164-1.1311 .56171 (164*2π)/1661 weeks



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