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Fourier Analysis of LVNTA (Liberty Interactive Corporation)


LVNTA (Liberty Interactive Corporation) appears to have interesting cyclic behaviour every 18 weeks (1.2311*sine), 12 weeks (.8641*sine), and 17 weeks (.7377*sine).

LVNTA (Liberty Interactive Corporation) has an average price of 31.98 (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 8/10/2012 to 1/9/2017 for LVNTA (Liberty Interactive Corporation), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
031.98221   0 
1-5.903 -9.86779 (1*2π)/232232 weeks
2-.72271 -3.91303 (2*2π)/232116 weeks
3.63216 -2.59285 (3*2π)/23277 weeks
4-.71279 -2.28328 (4*2π)/23258 weeks
5-.58857 -2.22707 (5*2π)/23246 weeks
6-.65314 -2.04367 (6*2π)/23239 weeks
7.15659 -.27398 (7*2π)/23233 weeks
8-.28273 -1.81684 (8*2π)/23229 weeks
9-.12249 -1.19069 (9*2π)/23226 weeks
10-.37994 -.46527 (10*2π)/23223 weeks
11.18378 -.65129 (11*2π)/23221 weeks
12-.1877 -.26886 (12*2π)/23219 weeks
13-.2606 -1.23107 (13*2π)/23218 weeks
14-.24776 -.73774 (14*2π)/23217 weeks
15-.1909 .0666 (15*2π)/23215 weeks
16-.39176 -.65202 (16*2π)/23215 weeks
17.5631 -.60601 (17*2π)/23214 weeks
18-.40062 -.32197 (18*2π)/23213 weeks
19.02054 -.86406 (19*2π)/23212 weeks
20-.20355 -.07105 (20*2π)/23212 weeks
21.09756 -.51951 (21*2π)/23211 weeks
22-.17143 -.41162 (22*2π)/23211 weeks
23-.1684 -.40368 (23*2π)/23210 weeks
24-.21555 .00153 (24*2π)/23210 weeks
25-.01396 -.42799 (25*2π)/2329 weeks
26-.01945 -.14041 (26*2π)/2329 weeks
27-.20046 -.61042 (27*2π)/2329 weeks
28.02769 -.3589 (28*2π)/2328 weeks
29-.25359 -.23551 (29*2π)/2328 weeks
30-.13218 -.19809 (30*2π)/2328 weeks
31-.19114 -.45358 (31*2π)/2327 weeks
32-.08613 -.10872 (32*2π)/2327 weeks
33-.18964 -.1941 (33*2π)/2327 weeks
34-.01729 -.2721 (34*2π)/2327 weeks
35-.02166 -.31066 (35*2π)/2327 weeks
36-.02097 -.20189 (36*2π)/2326 weeks
37-.0122 -.43196 (37*2π)/2326 weeks
38-.16757 -.34079 (38*2π)/2326 weeks
39-.1975 -.21989 (39*2π)/2326 weeks
40-.17325 -.13064 (40*2π)/2326 weeks
41-.19985 -.12341 (41*2π)/2326 weeks
42.0418 -.04834 (42*2π)/2326 weeks
43-.15134 -.27984 (43*2π)/2325 weeks
44.02334 -.2172 (44*2π)/2325 weeks
45-.05513 -.21146 (45*2π)/2325 weeks
46-.00624 -.30373 (46*2π)/2325 weeks
47-.21214 -.19454 (47*2π)/2325 weeks
48-.22985 -.0685 (48*2π)/2325 weeks
49-.11358 -.12652 (49*2π)/2325 weeks
50.0257 -.07727 (50*2π)/2325 weeks
51-.17612 -.23826 (51*2π)/2325 weeks
52-.12069 -.21862 (52*2π)/2324 weeks
53-.17938 -.07425 (53*2π)/2324 weeks
54.06394 -.23884 (54*2π)/2324 weeks
55-.18288 -.19529 (55*2π)/2324 weeks
56-.05524 -.23526 (56*2π)/2324 weeks
57-.33188 -.14682 (57*2π)/2324 weeks
58-.0051 -.07931 (58*2π)/2324 weeks
59-.06594 -.16243 (59*2π)/2324 weeks
60-.12601 -.16627 (60*2π)/2324 weeks
61-.14355 -.12172 (61*2π)/2324 weeks
62-.02605 -.13134 (62*2π)/2324 weeks
63-.15779 -.18846 (63*2π)/2324 weeks
64-.13181 -.25564 (64*2π)/2324 weeks
65-.27082 -.19072 (65*2π)/2324 weeks
66-.26079 -.07354 (66*2π)/2324 weeks
67-.20906 -.01819 (67*2π)/2323 weeks
68-.11443 -.19652 (68*2π)/2323 weeks
69-.1484 .10593 (69*2π)/2323 weeks
70-.20375 -.09589 (70*2π)/2323 weeks
71-.06664 -.01093 (71*2π)/2323 weeks
72-.03822 -.13083 (72*2π)/2323 weeks
73-.12561 -.13035 (73*2π)/2323 weeks
74-.19096 -.18142 (74*2π)/2323 weeks
75-.14962 -.02657 (75*2π)/2323 weeks
76-.14651 -.1254 (76*2π)/2323 weeks
77-.07605 -.04579 (77*2π)/2323 weeks
78-.21581 -.04736 (78*2π)/2323 weeks
79-.08495 .03822 (79*2π)/2323 weeks
80.00112 -.07966 (80*2π)/2323 weeks
81-.08673 -.05786 (81*2π)/2323 weeks
82-.13973 -.06086 (82*2π)/2323 weeks
83-.15554 -.11782 (83*2π)/2323 weeks
84-.19895 -.12459 (84*2π)/2323 weeks
85-.06389 .02337 (85*2π)/2323 weeks
86-.17435 -.08943 (86*2π)/2323 weeks
87-.10298 -.041 (87*2π)/2323 weeks
88-.15006 -.06429 (88*2π)/2323 weeks
89-.12979 .03214 (89*2π)/2323 weeks
90-.02326 -.05792 (90*2π)/2323 weeks
91-.09988 -.11663 (91*2π)/2323 weeks
92-.10489 -.12104 (92*2π)/2323 weeks
93-.19526 -.00929 (93*2π)/2322 weeks
94-.11846 -.1389 (94*2π)/2322 weeks
95-.14048 -.03476 (95*2π)/2322 weeks
96-.16427 -.00418 (96*2π)/2322 weeks
97-.16406 -.14997 (97*2π)/2322 weeks
98-.11779 .03415 (98*2π)/2322 weeks
99-.06241 -.08532 (99*2π)/2322 weeks
100-.13577 -.0541 (100*2π)/2322 weeks
101-.2042 .01363 (101*2π)/2322 weeks
102-.14067 -.08324 (102*2π)/2322 weeks
103-.18629 .04153 (103*2π)/2322 weeks
104-.15515 .07842 (104*2π)/2322 weeks
105-.03611 -.02857 (105*2π)/2322 weeks
106-.06524 -.01582 (106*2π)/2322 weeks
107-.20742 -.10322 (107*2π)/2322 weeks
108-.08531 .12368 (108*2π)/2322 weeks
109-.07236 .06462 (109*2π)/2322 weeks
110-.02958 -.13807 (110*2π)/2322 weeks
111-.1149 .0306 (111*2π)/2322 weeks
112-.1024 -.05876 (112*2π)/2322 weeks
113-.12541 .02585 (113*2π)/2322 weeks
114-.10002 .08454 (114*2π)/2322 weeks
115-.11295 -.06132 (115*2π)/2322 weeks
116-.04739   (116*2π)/2322 weeks
117-.11295 .06132 (117*2π)/2322 weeks
118-.10002 -.08454 (118*2π)/2322 weeks
119-.12541 -.02585 (119*2π)/2322 weeks
120-.1024 .05876 (120*2π)/2322 weeks
121-.1149 -.0306 (121*2π)/2322 weeks
122-.02958 .13807 (122*2π)/2322 weeks
123-.07236 -.06462 (123*2π)/2322 weeks
124-.08531 -.12368 (124*2π)/2322 weeks
125-.20742 .10322 (125*2π)/2322 weeks
126-.06524 .01582 (126*2π)/2322 weeks
127-.03611 .02857 (127*2π)/2322 weeks
128-.15515 -.07842 (128*2π)/2322 weeks
129-.18629 -.04153 (129*2π)/2322 weeks
130-.14067 .08324 (130*2π)/2322 weeks
131-.2042 -.01363 (131*2π)/2322 weeks
132-.13577 .0541 (132*2π)/2322 weeks
133-.06241 .08532 (133*2π)/2322 weeks
134-.11779 -.03415 (134*2π)/2322 weeks
135-.16406 .14997 (135*2π)/2322 weeks
136-.16427 .00418 (136*2π)/2322 weeks
137-.14048 .03476 (137*2π)/2322 weeks
138-.11846 .1389 (138*2π)/2322 weeks
139-.19526 .00929 (139*2π)/2322 weeks
140-.10489 .12104 (140*2π)/2322 weeks
141-.09988 .11663 (141*2π)/2322 weeks
142-.02326 .05792 (142*2π)/2322 weeks
143-.12979 -.03214 (143*2π)/2322 weeks
144-.15006 .06429 (144*2π)/2322 weeks
145-.10298 .041 (145*2π)/2322 weeks
146-.17435 .08943 (146*2π)/2322 weeks
147-.06389 -.02337 (147*2π)/2322 weeks
148-.19895 .12459 (148*2π)/2322 weeks
149-.15554 .11782 (149*2π)/2322 weeks
150-.13973 .06086 (150*2π)/2322 weeks
151-.08673 .05786 (151*2π)/2322 weeks
152.00112 .07966 (152*2π)/2322 weeks
153-.08495 -.03822 (153*2π)/2322 weeks
154-.21581 .04736 (154*2π)/2322 weeks
155-.07605 .04579 (155*2π)/2321 weeks
156-.14651 .1254 (156*2π)/2321 weeks
157-.14962 .02657 (157*2π)/2321 weeks
158-.19096 .18142 (158*2π)/2321 weeks
159-.12561 .13035 (159*2π)/2321 weeks
160-.03822 .13083 (160*2π)/2321 weeks
161-.06664 .01093 (161*2π)/2321 weeks
162-.20375 .09589 (162*2π)/2321 weeks
163-.1484 -.10593 (163*2π)/2321 weeks
164-.11443 .19652 (164*2π)/2321 weeks
165-.20906 .01819 (165*2π)/2321 weeks
166-.26079 .07354 (166*2π)/2321 weeks
167-.27082 .19072 (167*2π)/2321 weeks
168-.13181 .25564 (168*2π)/2321 weeks
169-.15779 .18846 (169*2π)/2321 weeks
170-.02605 .13134 (170*2π)/2321 weeks
171-.14355 .12172 (171*2π)/2321 weeks
172-.12601 .16627 (172*2π)/2321 weeks
173-.06594 .16243 (173*2π)/2321 weeks
174-.0051 .07931 (174*2π)/2321 weeks
175-.33188 .14682 (175*2π)/2321 weeks
176-.05524 .23526 (176*2π)/2321 weeks
177-.18288 .19529 (177*2π)/2321 weeks
178.06394 .23884 (178*2π)/2321 weeks
179-.17938 .07425 (179*2π)/2321 weeks
180-.12069 .21862 (180*2π)/2321 weeks
181-.17612 .23826 (181*2π)/2321 weeks
182.0257 .07727 (182*2π)/2321 weeks
183-.11358 .12652 (183*2π)/2321 weeks
184-.22985 .0685 (184*2π)/2321 weeks
185-.21214 .19454 (185*2π)/2321 weeks
186-.00624 .30373 (186*2π)/2321 weeks
187-.05513 .21146 (187*2π)/2321 weeks
188.02334 .2172 (188*2π)/2321 weeks
189-.15134 .27984 (189*2π)/2321 weeks
190.0418 .04834 (190*2π)/2321 weeks
191-.19985 .12341 (191*2π)/2321 weeks
192-.17325 .13064 (192*2π)/2321 weeks
193-.1975 .21989 (193*2π)/2321 weeks
194-.16757 .34079 (194*2π)/2321 weeks
195-.0122 .43196 (195*2π)/2321 weeks
196-.02097 .20189 (196*2π)/2321 weeks
197-.02166 .31066 (197*2π)/2321 weeks
198-.01729 .2721 (198*2π)/2321 weeks
199-.18964 .1941 (199*2π)/2321 weeks
200-.08613 .10872 (200*2π)/2321 weeks
201-.19114 .45358 (201*2π)/2321 weeks
202-.13218 .19809 (202*2π)/2321 weeks
203-.25359 .23551 (203*2π)/2321 weeks
204.02769 .3589 (204*2π)/2321 weeks
205-.20046 .61042 (205*2π)/2321 weeks
206-.01945 .14041 (206*2π)/2321 weeks
207-.01396 .42799 (207*2π)/2321 weeks
208-.21555 -.00153 (208*2π)/2321 weeks
209-.1684 .40368 (209*2π)/2321 weeks
210-.17143 .41162 (210*2π)/2321 weeks
211.09756 .51951 (211*2π)/2321 weeks
212-.20355 .07105 (212*2π)/2321 weeks
213.02054 .86406 (213*2π)/2321 weeks
214-.40062 .32197 (214*2π)/2321 weeks
215.5631 .60601 (215*2π)/2321 weeks
216-.39176 .65202 (216*2π)/2321 weeks
217-.1909 -.0666 (217*2π)/2321 weeks
218-.24776 .73774 (218*2π)/2321 weeks
219-.2606 1.23107 (219*2π)/2321 weeks
220-.1877 .26886 (220*2π)/2321 weeks
221.18378 .65129 (221*2π)/2321 weeks
222-.37994 .46527 (222*2π)/2321 weeks
223-.12249 1.19069 (223*2π)/2321 weeks
224-.28273 1.81684 (224*2π)/2321 weeks
225.15659 .27398 (225*2π)/2321 weeks
226-.65314 2.04367 (226*2π)/2321 weeks
227-.58857 2.22707 (227*2π)/2321 weeks
228-.71279 2.28328 (228*2π)/2321 weeks
229.63216 2.59285 (229*2π)/2321 weeks
230-.72271 3.91303 (230*2π)/2321 weeks

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