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Fourier Analysis of LPI (Laredo Petroleum Inc)


LPI (Laredo Petroleum Inc) appears to have interesting cyclic behaviour every 28 weeks (1.0639*sine), 28 weeks (.7027*cosine), and 10 weeks (.3968*cosine).

LPI (Laredo Petroleum Inc) has an average price of 17.42 (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 12/15/2011 to 10/9/2017 for LPI (Laredo Petroleum Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
017.41846   0 
1-.74288 7.46986 (1*2π)/305305 weeks
21.1546 -2.51964 (2*2π)/305153 weeks
31.05299 2.70622 (3*2π)/305102 weeks
4-1.48981 1.45808 (4*2π)/30576 weeks
5.1283 1.49415 (5*2π)/30561 weeks
6-.24901 -.57168 (6*2π)/30551 weeks
7.9845 1.60446 (7*2π)/30544 weeks
8-.83545 .51715 (8*2π)/30538 weeks
9.76006 .26551 (9*2π)/30534 weeks
10-.22422 .19982 (10*2π)/30531 weeks
11-.70273 1.06386 (11*2π)/30528 weeks
12.21927 -.21522 (12*2π)/30525 weeks
13-.27391 -.1005 (13*2π)/30523 weeks
14-.30731 .12032 (14*2π)/30522 weeks
15-.02319 -.04202 (15*2π)/30520 weeks
16.17461 -.13907 (16*2π)/30519 weeks
17-.15531 .41415 (17*2π)/30518 weeks
18-.1333 -.28368 (18*2π)/30517 weeks
19.02466 .45481 (19*2π)/30516 weeks
20.1411 .16199 (20*2π)/30515 weeks
21-.11219 .21671 (21*2π)/30515 weeks
22-.00292 -.02019 (22*2π)/30514 weeks
23-.04419 .30083 (23*2π)/30513 weeks
24-.1282 -.0095 (24*2π)/30513 weeks
25.02915 .125 (25*2π)/30512 weeks
26.02765 -.02296 (26*2π)/30512 weeks
27.01807 -.14495 (27*2π)/30511 weeks
28.25091 -.02781 (28*2π)/30511 weeks
29-.03395 .08409 (29*2π)/30511 weeks
30.25303 .12148 (30*2π)/30510 weeks
31-.09113 -.16798 (31*2π)/30510 weeks
32.39676 .13174 (32*2π)/30510 weeks
33-.03525 .25586 (33*2π)/3059 weeks
34-.06859 -.09476 (34*2π)/3059 weeks
35.09934 .15431 (35*2π)/3059 weeks
36-.06749 -.13624 (36*2π)/3058 weeks
37.04795 .12454 (37*2π)/3058 weeks
38-.05364 .06798 (38*2π)/3058 weeks
39-.18308 .35339 (39*2π)/3058 weeks
40.1819 -.00039 (40*2π)/3058 weeks
41-.10502 .19124 (41*2π)/3057 weeks
42.00019 -.05431 (42*2π)/3057 weeks
43-.03002 .38494 (43*2π)/3057 weeks
44.10681 -.03537 (44*2π)/3057 weeks
45-.10799 .11283 (45*2π)/3057 weeks
46.17088 -.0368 (46*2π)/3057 weeks
47.00146 .09901 (47*2π)/3056 weeks
48.00922 -.07336 (48*2π)/3056 weeks
49-.09396 .11218 (49*2π)/3056 weeks
50.03222 .16584 (50*2π)/3056 weeks
51-.00594 .14978 (51*2π)/3056 weeks
52.11931 .01243 (52*2π)/3056 weeks
53-.23461 -.01415 (53*2π)/3056 weeks
54.08087 .19226 (54*2π)/3056 weeks
55-.0401 -.01554 (55*2π)/3056 weeks
56-.05249 -.00851 (56*2π)/3055 weeks
57-.06546 .0998 (57*2π)/3055 weeks
58.02179 .06177 (58*2π)/3055 weeks
59-.12782 -.0942 (59*2π)/3055 weeks
60-.01121 -.09865 (60*2π)/3055 weeks
61.003 .05373 (61*2π)/3055 weeks
62-.00974 .01203 (62*2π)/3055 weeks
63-.01502 .0279 (63*2π)/3055 weeks
64.10054 .06644 (64*2π)/3055 weeks
65-.00873 .05402 (65*2π)/3055 weeks
66.02719 .01687 (66*2π)/3055 weeks
67.06318 .13969 (67*2π)/3055 weeks
68-.07686 .02072 (68*2π)/3054 weeks
69.06737 -.04475 (69*2π)/3054 weeks
70-.05918 .08739 (70*2π)/3054 weeks
71-.05417 .03138 (71*2π)/3054 weeks
72.10546 .08288 (72*2π)/3054 weeks
73-.05979 .03245 (73*2π)/3054 weeks
74-.02391 .01755 (74*2π)/3054 weeks
75.0887 -.01715 (75*2π)/3054 weeks
76.02138 .04618 (76*2π)/3054 weeks
77-.08147 .03216 (77*2π)/3054 weeks
78.05931 -.0384 (78*2π)/3054 weeks
79-.01516 .01328 (79*2π)/3054 weeks
80.00712 .03858 (80*2π)/3054 weeks
81.03615 -.05306 (81*2π)/3054 weeks
82-.01132 .09032 (82*2π)/3054 weeks
83-.00684 -.02478 (83*2π)/3054 weeks
84.01723 -.0414 (84*2π)/3054 weeks
85.0712 -.1309 (85*2π)/3054 weeks
86.05123 .05732 (86*2π)/3054 weeks
87.02408 -.02752 (87*2π)/3054 weeks
88.01321 -.00398 (88*2π)/3053 weeks
89.09959 .02615 (89*2π)/3053 weeks
90.02616 .07966 (90*2π)/3053 weeks
91-.13241 -.0542 (91*2π)/3053 weeks
92.1014 -.01065 (92*2π)/3053 weeks
93.00485 .01707 (93*2π)/3053 weeks
94.05895 .02164 (94*2π)/3053 weeks
95.02114 .0748 (95*2π)/3053 weeks
96.05099 -.02698 (96*2π)/3053 weeks
97.07233 -.04215 (97*2π)/3053 weeks
98.05117 .04964 (98*2π)/3053 weeks
99.00903 .01261 (99*2π)/3053 weeks
100.06012 .03448 (100*2π)/3053 weeks
101-.05291 .01177 (101*2π)/3053 weeks
102-.02143 -.1095 (102*2π)/3053 weeks
103-.02431 .01795 (103*2π)/3053 weeks
104.01742 .04059 (104*2π)/3053 weeks
105-.10429 -.03312 (105*2π)/3053 weeks
106.03779 -.03981 (106*2π)/3053 weeks
107.01712 -.06447 (107*2π)/3053 weeks
108-.03587 .06559 (108*2π)/3053 weeks
109-.08472 -.05293 (109*2π)/3053 weeks
110.10827 .00676 (110*2π)/3053 weeks
111.04279 .05322 (111*2π)/3053 weeks
112.00909 -.04058 (112*2π)/3053 weeks
113.01376 -.03001 (113*2π)/3053 weeks
114.04523 -.02347 (114*2π)/3053 weeks
115.0662 .0656 (115*2π)/3053 weeks
116-.01685 -.02869 (116*2π)/3053 weeks
117.03939 -.05539 (117*2π)/3053 weeks
118.08343 .05726 (118*2π)/3053 weeks
119.02503 .00966 (119*2π)/3053 weeks
120.03356 .03248 (120*2π)/3053 weeks
121.04581 .04617 (121*2π)/3053 weeks
122-.01555 .00037 (122*2π)/3053 weeks
123.02036 -.00524 (123*2π)/3052 weeks
124-.03984 .00423 (124*2π)/3052 weeks
125.01951 .06401 (125*2π)/3052 weeks
126.06212 -.01397 (126*2π)/3052 weeks
127.01121 -.04786 (127*2π)/3052 weeks
128.04873 .04634 (128*2π)/3052 weeks
129.03472 -.024 (129*2π)/3052 weeks
130.0213 -.03822 (130*2π)/3052 weeks
131-.01089 -.03664 (131*2π)/3052 weeks
132.13228 -.01963 (132*2π)/3052 weeks
133.03162 -.00998 (133*2π)/3052 weeks
134.02448 .07038 (134*2π)/3052 weeks
135.0555 -.03156 (135*2π)/3052 weeks
136.08788 .02931 (136*2π)/3052 weeks
137.00475 -.02963 (137*2π)/3052 weeks
138-.02259 .07812 (138*2π)/3052 weeks
139.00685 -.02346 (139*2π)/3052 weeks
140.05246 .02133 (140*2π)/3052 weeks
141-.08407 -.05727 (141*2π)/3052 weeks
142.03929 -.02261 (142*2π)/3052 weeks
143-.02375 -.01535 (143*2π)/3052 weeks
144-.01012 .04157 (144*2π)/3052 weeks
145.05501 -.07576 (145*2π)/3052 weeks
146.03002 .05693 (146*2π)/3052 weeks
147.11611 -.0284 (147*2π)/3052 weeks
148.00741 .05774 (148*2π)/3052 weeks
149.04971 -.08871 (149*2π)/3052 weeks
150.03314 .02228 (150*2π)/3052 weeks
151.00102 .00541 (151*2π)/3052 weeks
152-.01438 -.00017 (152*2π)/3052 weeks
153-.01438 .00017 (153*2π)/3052 weeks
154.00102 -.00541 (154*2π)/3052 weeks
155.03314 -.02228 (155*2π)/3052 weeks
156.04971 .08871 (156*2π)/3052 weeks
157.00741 -.05774 (157*2π)/3052 weeks
158.11611 .0284 (158*2π)/3052 weeks
159.03002 -.05693 (159*2π)/3052 weeks
160.05501 .07576 (160*2π)/3052 weeks
161-.01012 -.04157 (161*2π)/3052 weeks
162-.02375 .01535 (162*2π)/3052 weeks
163.03929 .02261 (163*2π)/3052 weeks
164-.08407 .05727 (164*2π)/3052 weeks
165.05246 -.02133 (165*2π)/3052 weeks
166.00685 .02346 (166*2π)/3052 weeks
167-.02259 -.07812 (167*2π)/3052 weeks
168.00475 .02963 (168*2π)/3052 weeks
169.08788 -.02931 (169*2π)/3052 weeks
170.0555 .03156 (170*2π)/3052 weeks
171.02448 -.07038 (171*2π)/3052 weeks
172.03162 .00998 (172*2π)/3052 weeks
173.13228 .01963 (173*2π)/3052 weeks
174-.01089 .03664 (174*2π)/3052 weeks
175.0213 .03822 (175*2π)/3052 weeks
176.03472 .024 (176*2π)/3052 weeks
177.04873 -.04634 (177*2π)/3052 weeks
178.01121 .04786 (178*2π)/3052 weeks
179.06212 .01397 (179*2π)/3052 weeks
180.01951 -.06401 (180*2π)/3052 weeks
181-.03984 -.00423 (181*2π)/3052 weeks
182.02036 .00524 (182*2π)/3052 weeks
183-.01555 -.00037 (183*2π)/3052 weeks
184.04581 -.04617 (184*2π)/3052 weeks
185.03356 -.03248 (185*2π)/3052 weeks
186.02503 -.00966 (186*2π)/3052 weeks
187.08343 -.05726 (187*2π)/3052 weeks
188.03939 .05539 (188*2π)/3052 weeks
189-.01685 .02869 (189*2π)/3052 weeks
190.0662 -.0656 (190*2π)/3052 weeks
191.04523 .02347 (191*2π)/3052 weeks
192.01376 .03001 (192*2π)/3052 weeks
193.00909 .04058 (193*2π)/3052 weeks
194.04279 -.05322 (194*2π)/3052 weeks
195.10827 -.00676 (195*2π)/3052 weeks
196-.08472 .05293 (196*2π)/3052 weeks
197-.03587 -.06559 (197*2π)/3052 weeks
198.01712 .06447 (198*2π)/3052 weeks
199.03779 .03981 (199*2π)/3052 weeks
200-.10429 .03312 (200*2π)/3052 weeks
201.01742 -.04059 (201*2π)/3052 weeks
202-.02431 -.01795 (202*2π)/3052 weeks
203-.02143 .1095 (203*2π)/3052 weeks
204-.05291 -.01177 (204*2π)/3051 weeks
205.06012 -.03448 (205*2π)/3051 weeks
206.00903 -.01261 (206*2π)/3051 weeks
207.05117 -.04964 (207*2π)/3051 weeks
208.07233 .04215 (208*2π)/3051 weeks
209.05099 .02698 (209*2π)/3051 weeks
210.02114 -.0748 (210*2π)/3051 weeks
211.05895 -.02164 (211*2π)/3051 weeks
212.00485 -.01707 (212*2π)/3051 weeks
213.1014 .01065 (213*2π)/3051 weeks
214-.13241 .0542 (214*2π)/3051 weeks
215.02616 -.07966 (215*2π)/3051 weeks
216.09959 -.02615 (216*2π)/3051 weeks
217.01321 .00398 (217*2π)/3051 weeks
218.02408 .02752 (218*2π)/3051 weeks
219.05123 -.05732 (219*2π)/3051 weeks
220.0712 .1309 (220*2π)/3051 weeks
221.01723 .0414 (221*2π)/3051 weeks
222-.00684 .02478 (222*2π)/3051 weeks
223-.01132 -.09032 (223*2π)/3051 weeks
224.03615 .05306 (224*2π)/3051 weeks
225.00712 -.03858 (225*2π)/3051 weeks
226-.01516 -.01328 (226*2π)/3051 weeks
227.05931 .0384 (227*2π)/3051 weeks
228-.08147 -.03216 (228*2π)/3051 weeks
229.02138 -.04618 (229*2π)/3051 weeks
230.0887 .01715 (230*2π)/3051 weeks
231-.02391 -.01755 (231*2π)/3051 weeks
232-.05979 -.03245 (232*2π)/3051 weeks
233.10546 -.08288 (233*2π)/3051 weeks
234-.05417 -.03138 (234*2π)/3051 weeks
235-.05918 -.08739 (235*2π)/3051 weeks
236.06737 .04475 (236*2π)/3051 weeks
237-.07686 -.02072 (237*2π)/3051 weeks
238.06318 -.13969 (238*2π)/3051 weeks
239.02719 -.01687 (239*2π)/3051 weeks
240-.00873 -.05402 (240*2π)/3051 weeks
241.10054 -.06644 (241*2π)/3051 weeks
242-.01502 -.0279 (242*2π)/3051 weeks
243-.00974 -.01203 (243*2π)/3051 weeks
244.003 -.05373 (244*2π)/3051 weeks
245-.01121 .09865 (245*2π)/3051 weeks
246-.12782 .0942 (246*2π)/3051 weeks
247.02179 -.06177 (247*2π)/3051 weeks
248-.06546 -.0998 (248*2π)/3051 weeks
249-.05249 .00851 (249*2π)/3051 weeks
250-.0401 .01554 (250*2π)/3051 weeks
251.08087 -.19226 (251*2π)/3051 weeks
252-.23461 .01415 (252*2π)/3051 weeks
253.11931 -.01243 (253*2π)/3051 weeks
254-.00594 -.14978 (254*2π)/3051 weeks
255.03222 -.16584 (255*2π)/3051 weeks
256-.09396 -.11218 (256*2π)/3051 weeks
257.00922 .07336 (257*2π)/3051 weeks
258.00146 -.09901 (258*2π)/3051 weeks
259.17088 .0368 (259*2π)/3051 weeks
260-.10799 -.11283 (260*2π)/3051 weeks
261.10681 .03537 (261*2π)/3051 weeks
262-.03002 -.38494 (262*2π)/3051 weeks
263.00019 .05431 (263*2π)/3051 weeks
264-.10502 -.19124 (264*2π)/3051 weeks
265.1819 .00039 (265*2π)/3051 weeks
266-.18308 -.35339 (266*2π)/3051 weeks
267-.05364 -.06798 (267*2π)/3051 weeks
268.04795 -.12454 (268*2π)/3051 weeks
269-.06749 .13624 (269*2π)/3051 weeks
270.09934 -.15431 (270*2π)/3051 weeks
271-.06859 .09476 (271*2π)/3051 weeks
272-.03525 -.25586 (272*2π)/3051 weeks
273.39676 -.13174 (273*2π)/3051 weeks
274-.09113 .16798 (274*2π)/3051 weeks
275.25303 -.12148 (275*2π)/3051 weeks
276-.03395 -.08409 (276*2π)/3051 weeks
277.25091 .02781 (277*2π)/3051 weeks
278.01807 .14495 (278*2π)/3051 weeks
279.02765 .02296 (279*2π)/3051 weeks
280.02915 -.125 (280*2π)/3051 weeks
281-.1282 .0095 (281*2π)/3051 weeks
282-.04419 -.30083 (282*2π)/3051 weeks
283-.00292 .02019 (283*2π)/3051 weeks
284-.11219 -.21671 (284*2π)/3051 weeks
285.1411 -.16199 (285*2π)/3051 weeks
286.02466 -.45481 (286*2π)/3051 weeks
287-.1333 .28368 (287*2π)/3051 weeks
288-.15531 -.41415 (288*2π)/3051 weeks
289.17461 .13907 (289*2π)/3051 weeks
290-.02319 .04202 (290*2π)/3051 weeks
291-.30731 -.12032 (291*2π)/3051 weeks
292-.27391 .1005 (292*2π)/3051 weeks
293.21927 .21522 (293*2π)/3051 weeks
294-.70273 -1.06386 (294*2π)/3051 weeks
295-.22422 -.19982 (295*2π)/3051 weeks
296.76006 -.26551 (296*2π)/3051 weeks
297-.83545 -.51715 (297*2π)/3051 weeks
298.9845 -1.60446 (298*2π)/3051 weeks
299-.24901 .57168 (299*2π)/3051 weeks
300.1283 -1.49415 (300*2π)/3051 weeks
301-1.48981 -1.45808 (301*2π)/3051 weeks
3021.05299 -2.70622 (302*2π)/3051 weeks
3031.1546 2.51964 (303*2π)/3051 weeks



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