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Fourier Analysis of ALDW (Alon USA Partners, LP Common Un)


ALDW (Alon USA Partners, LP Common Un) appears to have interesting cyclic behaviour every 21 weeks (.4861*cosine), 15 weeks (.3742*sine), and 19 weeks (.3569*sine).

ALDW (Alon USA Partners, LP Common Un) has an average price of 14.35 (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 11/20/2012 to 12/5/2016 for ALDW (Alon USA Partners, LP Common Un), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
014.35354   0 
1-1.41583 -1.7711 (1*2π)/212212 weeks
2-1.35083 3.28473 (2*2π)/212106 weeks
31.34605 3.19433 (3*2π)/21271 weeks
4-.32933 -.18616 (4*2π)/21253 weeks
5-.68435 -.21338 (5*2π)/21242 weeks
6-.7877 .1358 (6*2π)/21235 weeks
7.35095 .68222 (7*2π)/21230 weeks
8.20284 .17429 (8*2π)/21227 weeks
9-.14928 .56486 (9*2π)/21224 weeks
10-.48614 -.22237 (10*2π)/21221 weeks
11.04415 .35693 (11*2π)/21219 weeks
12.30696 .14258 (12*2π)/21218 weeks
13.16477 -.06998 (13*2π)/21216 weeks
14.03383 -.37417 (14*2π)/21215 weeks
15.07295 .28303 (15*2π)/21214 weeks
16.27332 .08257 (16*2π)/21213 weeks
17.10606 .34613 (17*2π)/21212 weeks
18.28643 -.13513 (18*2π)/21212 weeks
19-.08554 .18475 (19*2π)/21211 weeks
20-.33571 .10075 (20*2π)/21211 weeks
21-.23535 .24656 (21*2π)/21210 weeks
22-.00737 .23394 (22*2π)/21210 weeks
23.26023 -.01214 (23*2π)/2129 weeks
24-.26501 .04515 (24*2π)/2129 weeks
25-.17816 .20635 (25*2π)/2128 weeks
26-.00969 .03023 (26*2π)/2128 weeks
27.05352 .03482 (27*2π)/2128 weeks
28.10535 -.11853 (28*2π)/2128 weeks
29-.05668 -.13952 (29*2π)/2127 weeks
30-.02655 -.04692 (30*2π)/2127 weeks
31.02648 .01523 (31*2π)/2127 weeks
32-.07553 .08237 (32*2π)/2127 weeks
33-.02216 .02298 (33*2π)/2126 weeks
34-.00762 -.20754 (34*2π)/2126 weeks
35-.13359 -.0963 (35*2π)/2126 weeks
36.0121 -.03867 (36*2π)/2126 weeks
37.16342 .28049 (37*2π)/2126 weeks
38-.04169 .06334 (38*2π)/2126 weeks
39-.05403 -.08014 (39*2π)/2125 weeks
40-.03701 -.0929 (40*2π)/2125 weeks
41.06483 .23615 (41*2π)/2125 weeks
42.13324 -.01698 (42*2π)/2125 weeks
43.01363 -.00257 (43*2π)/2125 weeks
44.05386 -.14636 (44*2π)/2125 weeks
45-.09797 -.0101 (45*2π)/2125 weeks
46.09993 .08562 (46*2π)/2125 weeks
47-.03852 -.06379 (47*2π)/2125 weeks
48.15299 -.08377 (48*2π)/2124 weeks
49-.02503 .02705 (49*2π)/2124 weeks
50.03684 .12468 (50*2π)/2124 weeks
51.02025 .0544 (51*2π)/2124 weeks
52.03641 -.07444 (52*2π)/2124 weeks
53-.0623 .03193 (53*2π)/2124 weeks
54.13953 .10329 (54*2π)/2124 weeks
55-.00357 -.00274 (55*2π)/2124 weeks
56.00306 -.05018 (56*2π)/2124 weeks
57.07154 -.02298 (57*2π)/2124 weeks
58-.00163 -.01109 (58*2π)/2124 weeks
59.07014 .0713 (59*2π)/2124 weeks
60.01319 -.00578 (60*2π)/2124 weeks
61.00858 -.06727 (61*2π)/2123 weeks
62-.03363 -.01437 (62*2π)/2123 weeks
63-.00682 .02158 (63*2π)/2123 weeks
64-.05078 -.06975 (64*2π)/2123 weeks
65-.01726 .11321 (65*2π)/2123 weeks
66.00839 -.06225 (66*2π)/2123 weeks
67-.08885 -.10151 (67*2π)/2123 weeks
68-.06726 -.02773 (68*2π)/2123 weeks
69.05077 .04789 (69*2π)/2123 weeks
70.02462 -.03415 (70*2π)/2123 weeks
71-.0048 .02407 (71*2π)/2123 weeks
72.0205 .06973 (72*2π)/2123 weeks
73-.00257 .01477 (73*2π)/2123 weeks
74-.00357 .03821 (74*2π)/2123 weeks
75.11145 -.00021 (75*2π)/2123 weeks
76-.0072 .01487 (76*2π)/2123 weeks
77-.05127 .08013 (77*2π)/2123 weeks
78.01379 -.01355 (78*2π)/2123 weeks
79-.05705 -.02149 (79*2π)/2123 weeks
80-.05241 -.07064 (80*2π)/2123 weeks
81.07275 -.01688 (81*2π)/2123 weeks
82.0733 -.05494 (82*2π)/2123 weeks
83.00877 .05905 (83*2π)/2123 weeks
84.04285 .06737 (84*2π)/2123 weeks
85-.07073 .0276 (85*2π)/2122 weeks
86.04509 .05627 (86*2π)/2122 weeks
87-.05707 -.00523 (87*2π)/2122 weeks
88-.04647 -.00562 (88*2π)/2122 weeks
89-.06541 -.02293 (89*2π)/2122 weeks
90.03802 .01044 (90*2π)/2122 weeks
91.02738 -.09102 (91*2π)/2122 weeks
92-.03704 -.04908 (92*2π)/2122 weeks
93.01718 -.03882 (93*2π)/2122 weeks
94.03155 -.02713 (94*2π)/2122 weeks
95-.00495 -.06934 (95*2π)/2122 weeks
96.10571 .06103 (96*2π)/2122 weeks
97-.00236 .03156 (97*2π)/2122 weeks
98.0409 -.01031 (98*2π)/2122 weeks
99.00525 .04966 (99*2π)/2122 weeks
100.04885 .01075 (100*2π)/2122 weeks
101-.08776 -.01772 (101*2π)/2122 weeks
102-.00196 -.0263 (102*2π)/2122 weeks
103.10558 -.00736 (103*2π)/2122 weeks
104.10442 .01268 (104*2π)/2122 weeks
105.01929 .11839 (105*2π)/2122 weeks
106.08953   (106*2π)/2122 weeks
107.01929 -.11839 (107*2π)/2122 weeks
108.10442 -.01268 (108*2π)/2122 weeks
109.10558 .00736 (109*2π)/2122 weeks
110-.00196 .0263 (110*2π)/2122 weeks
111-.08776 .01772 (111*2π)/2122 weeks
112.04885 -.01075 (112*2π)/2122 weeks
113.00525 -.04966 (113*2π)/2122 weeks
114.0409 .01031 (114*2π)/2122 weeks
115-.00236 -.03156 (115*2π)/2122 weeks
116.10571 -.06103 (116*2π)/2122 weeks
117-.00495 .06934 (117*2π)/2122 weeks
118.03155 .02713 (118*2π)/2122 weeks
119.01718 .03882 (119*2π)/2122 weeks
120-.03704 .04908 (120*2π)/2122 weeks
121.02738 .09102 (121*2π)/2122 weeks
122.03802 -.01044 (122*2π)/2122 weeks
123-.06541 .02293 (123*2π)/2122 weeks
124-.04647 .00562 (124*2π)/2122 weeks
125-.05707 .00523 (125*2π)/2122 weeks
126.04509 -.05627 (126*2π)/2122 weeks
127-.07073 -.0276 (127*2π)/2122 weeks
128.04285 -.06737 (128*2π)/2122 weeks
129.00877 -.05905 (129*2π)/2122 weeks
130.0733 .05494 (130*2π)/2122 weeks
131.07275 .01688 (131*2π)/2122 weeks
132-.05241 .07064 (132*2π)/2122 weeks
133-.05705 .02149 (133*2π)/2122 weeks
134.01379 .01355 (134*2π)/2122 weeks
135-.05127 -.08013 (135*2π)/2122 weeks
136-.0072 -.01487 (136*2π)/2122 weeks
137.11145 .00021 (137*2π)/2122 weeks
138-.00357 -.03821 (138*2π)/2122 weeks
139-.00257 -.01477 (139*2π)/2122 weeks
140.0205 -.06973 (140*2π)/2122 weeks
141-.0048 -.02407 (141*2π)/2122 weeks
142.02462 .03415 (142*2π)/2121 weeks
143.05077 -.04789 (143*2π)/2121 weeks
144-.06726 .02773 (144*2π)/2121 weeks
145-.08885 .10151 (145*2π)/2121 weeks
146.00839 .06225 (146*2π)/2121 weeks
147-.01726 -.11321 (147*2π)/2121 weeks
148-.05078 .06975 (148*2π)/2121 weeks
149-.00682 -.02158 (149*2π)/2121 weeks
150-.03363 .01437 (150*2π)/2121 weeks
151.00858 .06727 (151*2π)/2121 weeks
152.01319 .00578 (152*2π)/2121 weeks
153.07014 -.0713 (153*2π)/2121 weeks
154-.00163 .01109 (154*2π)/2121 weeks
155.07154 .02298 (155*2π)/2121 weeks
156.00306 .05018 (156*2π)/2121 weeks
157-.00357 .00274 (157*2π)/2121 weeks
158.13953 -.10329 (158*2π)/2121 weeks
159-.0623 -.03193 (159*2π)/2121 weeks
160.03641 .07444 (160*2π)/2121 weeks
161.02025 -.0544 (161*2π)/2121 weeks
162.03684 -.12468 (162*2π)/2121 weeks
163-.02503 -.02705 (163*2π)/2121 weeks
164.15299 .08377 (164*2π)/2121 weeks
165-.03852 .06379 (165*2π)/2121 weeks
166.09993 -.08562 (166*2π)/2121 weeks
167-.09797 .0101 (167*2π)/2121 weeks
168.05386 .14636 (168*2π)/2121 weeks
169.01363 .00257 (169*2π)/2121 weeks
170.13324 .01698 (170*2π)/2121 weeks
171.06483 -.23615 (171*2π)/2121 weeks
172-.03701 .0929 (172*2π)/2121 weeks
173-.05403 .08014 (173*2π)/2121 weeks
174-.04169 -.06334 (174*2π)/2121 weeks
175.16342 -.28049 (175*2π)/2121 weeks
176.0121 .03867 (176*2π)/2121 weeks
177-.13359 .0963 (177*2π)/2121 weeks
178-.00762 .20754 (178*2π)/2121 weeks
179-.02216 -.02298 (179*2π)/2121 weeks
180-.07553 -.08237 (180*2π)/2121 weeks
181.02648 -.01523 (181*2π)/2121 weeks
182-.02655 .04692 (182*2π)/2121 weeks
183-.05668 .13952 (183*2π)/2121 weeks
184.10535 .11853 (184*2π)/2121 weeks
185.05352 -.03482 (185*2π)/2121 weeks
186-.00969 -.03023 (186*2π)/2121 weeks
187-.17816 -.20635 (187*2π)/2121 weeks
188-.26501 -.04515 (188*2π)/2121 weeks
189.26023 .01214 (189*2π)/2121 weeks
190-.00737 -.23394 (190*2π)/2121 weeks
191-.23535 -.24656 (191*2π)/2121 weeks
192-.33571 -.10075 (192*2π)/2121 weeks
193-.08554 -.18475 (193*2π)/2121 weeks
194.28643 .13513 (194*2π)/2121 weeks
195.10606 -.34613 (195*2π)/2121 weeks
196.27332 -.08257 (196*2π)/2121 weeks
197.07295 -.28303 (197*2π)/2121 weeks
198.03383 .37417 (198*2π)/2121 weeks
199.16477 .06998 (199*2π)/2121 weeks
200.30696 -.14258 (200*2π)/2121 weeks
201.04415 -.35693 (201*2π)/2121 weeks
202-.48614 .22237 (202*2π)/2121 weeks
203-.14928 -.56486 (203*2π)/2121 weeks
204.20284 -.17429 (204*2π)/2121 weeks
205.35095 -.68222 (205*2π)/2121 weeks
206-.7877 -.1358 (206*2π)/2121 weeks
207-.68435 .21338 (207*2π)/2121 weeks
208-.32933 .18616 (208*2π)/2121 weeks
2091.34605 -3.19433 (209*2π)/2121 weeks
210-1.35083 -3.28473 (210*2π)/2121 weeks

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