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Fourier Analysis of NXY (Nexen, Inc. Common Stock)


NXY (Nexen, Inc. Common Stock) appears to have interesting cyclic behaviour every 114 weeks (.8917*sine), 76 weeks (.7772*sine), and 120 weeks (.7441*sine).

NXY (Nexen, Inc. Common Stock) has an average price of 6.07 (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.

Right click on the graph above to see the menu of operations (download, full screen, etc.)

Fourier Analysis

Using data from 6/1/1972 to 2/25/2013 for NXY (Nexen, Inc. Common Stock), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
06.06662   0 
15.91367 -7.23616 (1*2π)/20452,045 weeks
2.75452 -6.16771 (2*2π)/20451,023 weeks
3-1.8248 -3.61331 (3*2π)/2045682 weeks
4-1.68013 -.69105 (4*2π)/2045511 weeks
5.16931 .28598 (5*2π)/2045409 weeks
61.15117 -.49102 (6*2π)/2045341 weeks
7.99935 -1.47929 (7*2π)/2045292 weeks
8-.03965 -1.67166 (8*2π)/2045256 weeks
9-.48336 -.89316 (9*2π)/2045227 weeks
10-.24095 -.53655 (10*2π)/2045205 weeks
11-.16232 -.26015 (11*2π)/2045186 weeks
12.15619 -.1565 (12*2π)/2045170 weeks
13.30067 -.33824 (13*2π)/2045157 weeks
14.19045 -.28323 (14*2π)/2045146 weeks
15.49405 -.18982 (15*2π)/2045136 weeks
16.59534 -.58002 (16*2π)/2045128 weeks
17.39822 -.74409 (17*2π)/2045120 weeks
18.16251 -.89166 (18*2π)/2045114 weeks
19-.28453 -.71728 (19*2π)/2045108 weeks
20-.26428 -.15274 (20*2π)/2045102 weeks
21.12869 -.03609 (21*2π)/204597 weeks
22.42225 -.15279 (22*2π)/204593 weeks
23.44176 -.45682 (23*2π)/204589 weeks
24.32922 -.56828 (24*2π)/204585 weeks
25.24808 -.61625 (25*2π)/204582 weeks
26.17331 -.7341 (26*2π)/204579 weeks
27-.07623 -.77717 (27*2π)/204576 weeks
28-.27852 -.63575 (28*2π)/204573 weeks
29-.37938 -.39705 (29*2π)/204571 weeks
30-.30448 -.16787 (30*2π)/204568 weeks
31-.13916 -.04223 (31*2π)/204566 weeks
32.07686 -.02925 (32*2π)/204564 weeks
33.22146 -.21616 (33*2π)/204562 weeks
34.1474 -.38992 (34*2π)/204560 weeks
35.00247 -.4788 (35*2π)/204558 weeks
36-.19998 -.38921 (36*2π)/204557 weeks
37-.21956 -.19609 (37*2π)/204555 weeks
38-.15977 -.09091 (38*2π)/204554 weeks
39-.05987 .04825 (39*2π)/204552 weeks
40.22815 .03069 (40*2π)/204551 weeks
41.29113 -.24029 (41*2π)/204550 weeks
42.20004 -.33497 (42*2π)/204549 weeks
43.14141 -.45801 (43*2π)/204548 weeks
44-.06051 -.51093 (44*2π)/204546 weeks
45-.23584 -.3684 (45*2π)/204545 weeks
46-.21679 -.19848 (46*2π)/204544 weeks
47-.13928 -.11015 (47*2π)/204544 weeks
48-.06668 -.10566 (48*2π)/204543 weeks
49-.02799 -.10355 (49*2π)/204542 weeks
50.03363 -.10749 (50*2π)/204541 weeks
51.08485 -.20715 (51*2π)/204540 weeks
52.00857 -.2795 (52*2π)/204539 weeks
53-.07229 -.29252 (53*2π)/204539 weeks
54-.18527 -.24807 (54*2π)/204538 weeks
55-.19216 -.08711 (55*2π)/204537 weeks
56-.1112 -.03039 (56*2π)/204537 weeks
57-.00591 -.00417 (57*2π)/204536 weeks
58.06216 -.10759 (58*2π)/204535 weeks
59.01063 -.16974 (59*2π)/204535 weeks
60-.03074 -.17121 (60*2π)/204534 weeks
61-.06786 -.16926 (61*2π)/204534 weeks
62-.11957 -.14408 (62*2π)/204533 weeks
63-.13784 -.05074 (63*2π)/204532 weeks
64-.08856 .0058 (64*2π)/204532 weeks
65-.00936 .04283 (65*2π)/204531 weeks
66.06243 .00206 (66*2π)/204531 weeks
67.09172 -.05546 (67*2π)/204531 weeks
68.07806 -.11207 (68*2π)/204530 weeks
69.01611 -.1598 (69*2π)/204530 weeks
70-.06135 -.09481 (70*2π)/204529 weeks
71-.03258 -.00676 (71*2π)/204529 weeks
72.04744 .02352 (72*2π)/204528 weeks
73.13541 -.01084 (73*2π)/204528 weeks
74.16071 -.11062 (74*2π)/204528 weeks
75.09796 -.18106 (75*2π)/204527 weeks
76.03003 -.14899 (76*2π)/204527 weeks
77.05294 -.13147 (77*2π)/204527 weeks
78.02979 -.14404 (78*2π)/204526 weeks
79.01654 -.13049 (79*2π)/204526 weeks
80.00048 -.09995 (80*2π)/204526 weeks
81.04325 -.04004 (81*2π)/204525 weeks
82.13921 -.06845 (82*2π)/204525 weeks
83.17307 -.16437 (83*2π)/204525 weeks
84.1364 -.26582 (84*2π)/204524 weeks
85.02056 -.3267 (85*2π)/204524 weeks
86-.09929 -.2699 (86*2π)/204524 weeks
87-.12749 -.15991 (87*2π)/204524 weeks
88-.07507 -.10151 (88*2π)/204523 weeks
89-.03365 -.1017 (89*2π)/204523 weeks
90-.03689 -.12213 (90*2π)/204523 weeks
91-.05069 -.09343 (91*2π)/204522 weeks
92-.01918 -.05755 (92*2π)/204522 weeks
93.04581 -.07651 (93*2π)/204522 weeks
94.04697 -.14347 (94*2π)/204522 weeks
95.01153 -.17059 (95*2π)/204522 weeks
96-.03687 -.16809 (96*2π)/204521 weeks
97-.04271 -.12707 (97*2π)/204521 weeks
98-.02387 -.13229 (98*2π)/204521 weeks
99-.05153 -.15845 (99*2π)/204521 weeks
100-.09189 -.10622 (100*2π)/204520 weeks
101-.05897 -.0678 (101*2π)/204520 weeks
102-.01957 -.0554 (102*2π)/204520 weeks
103.0213 -.08643 (103*2π)/204520 weeks
104.02483 -.14685 (104*2π)/204520 weeks
105-.05373 -.18944 (105*2π)/204519 weeks
106-.10842 -.1224 (106*2π)/204519 weeks
107-.07716 -.07961 (107*2π)/204519 weeks
108-.0681 -.08893 (108*2π)/204519 weeks
109-.07307 -.07634 (109*2π)/204519 weeks
110-.08175 -.07348 (110*2π)/204519 weeks
111-.0863 -.02527 (111*2π)/204518 weeks
112-.03 -.00473 (112*2π)/204518 weeks
113.00787 -.03289 (113*2π)/204518 weeks
114.00971 -.07949 (114*2π)/204518 weeks
115-.02432 -.10091 (115*2π)/204518 weeks
116-.06403 -.08509 (116*2π)/204518 weeks
117-.06482 -.04664 (117*2π)/204517 weeks
118-.05191 -.0262 (118*2π)/204517 weeks
119-.02527 -.00764 (119*2π)/204517 weeks
120.00664 -.0182 (120*2π)/204517 weeks
121.01638 -.03408 (121*2π)/204517 weeks
122.03314 -.04796 (122*2π)/204517 weeks
123.04145 -.08274 (123*2π)/204517 weeks
124.0161 -.11921 (124*2π)/204516 weeks
125-.02254 -.13174 (125*2π)/204516 weeks
126-.07531 -.11946 (126*2π)/204516 weeks
127-.10035 -.06688 (127*2π)/204516 weeks
128-.09461 -.01549 (128*2π)/204516 weeks
129-.05511 .03531 (129*2π)/204516 weeks
130.02758 .0411 (130*2π)/204516 weeks
131.08034 -.0232 (131*2π)/204516 weeks
132.06758 -.10779 (132*2π)/204515 weeks
133-.0171 -.14494 (133*2π)/204515 weeks
134-.08667 -.08884 (134*2π)/204515 weeks
135-.07386 -.00794 (135*2π)/204515 weeks
136-.00419 .00998 (136*2π)/204515 weeks
137.02806 -.02638 (137*2π)/204515 weeks
138.02013 -.05658 (138*2π)/204515 weeks
139.00462 -.06339 (139*2π)/204515 weeks
140-.01206 -.05723 (140*2π)/204515 weeks
141.0074 -.04197 (141*2π)/204515 weeks
142.00451 -.0752 (142*2π)/204514 weeks
143-.02751 -.06494 (143*2π)/204514 weeks
144-.03526 -.03364 (144*2π)/204514 weeks
145-.01373 .00052 (145*2π)/204514 weeks
146.03458 .0036 (146*2π)/204514 weeks
147.07578 -.02255 (147*2π)/204514 weeks
148.08669 -.08276 (148*2π)/204514 weeks
149.05923 -.11921 (149*2π)/204514 weeks
150.01933 -.15107 (150*2π)/204514 weeks
151-.04288 -.13122 (151*2π)/204514 weeks
152-.04643 -.07715 (152*2π)/204513 weeks
153-.00917 -.07203 (153*2π)/204513 weeks
154-.02519 -.10352 (154*2π)/204513 weeks
155-.05192 -.07915 (155*2π)/204513 weeks
156-.04822 -.05536 (156*2π)/204513 weeks
157-.02726 -.03743 (157*2π)/204513 weeks
158.00106 -.05138 (158*2π)/204513 weeks
159-.00785 -.07865 (159*2π)/204513 weeks
160-.01905 -.08019 (160*2π)/204513 weeks
161-.03564 -.09041 (161*2π)/204513 weeks
162-.06583 -.07667 (162*2π)/204513 weeks
163-.06878 -.04115 (163*2π)/204513 weeks
164-.05861 -.02066 (164*2π)/204512 weeks
165-.03577 .01465 (165*2π)/204512 weeks
166.03825 .00539 (166*2π)/204512 weeks
167.05766 -.07586 (167*2π)/204512 weeks
168-.00366 -.13511 (168*2π)/204512 weeks
169-.08886 -.10893 (169*2π)/204512 weeks
170-.10924 -.02939 (170*2π)/204512 weeks
171-.06597 .03065 (171*2π)/204512 weeks
172.00557 .03762 (172*2π)/204512 weeks
173.05295 -.01938 (173*2π)/204512 weeks
174.02384 -.07426 (174*2π)/204512 weeks
175-.01067 -.07405 (175*2π)/204512 weeks
176-.02742 -.06681 (176*2π)/204512 weeks
177-.04026 -.05066 (177*2π)/204512 weeks
178-.03789 -.03142 (178*2π)/204511 weeks
179-.02201 -.02214 (179*2π)/204511 weeks
180-.00795 -.02495 (180*2π)/204511 weeks
181-.00359 -.04131 (181*2π)/204511 weeks
182-.01374 -.04366 (182*2π)/204511 weeks
183-.01982 -.04775 (183*2π)/204511 weeks
184-.03298 -.03818 (184*2π)/204511 weeks
185-.02761 -.02194 (185*2π)/204511 weeks
186-.02119 -.01542 (186*2π)/204511 weeks
187-.00669 -.00929 (187*2π)/204511 weeks
188.01005 -.01268 (188*2π)/204511 weeks
189.01464 -.03675 (189*2π)/204511 weeks
190.00549 -.04039 (190*2π)/204511 weeks
191-.00594 -.04243 (191*2π)/204511 weeks
192.003 -.03279 (192*2π)/204511 weeks
193.00393 -.04478 (193*2π)/204511 weeks
194-.00288 -.05008 (194*2π)/204511 weeks
195-.01633 -.05119 (195*2π)/204510 weeks
196-.03149 -.03276 (196*2π)/204510 weeks
197-.01504 -.0037 (197*2π)/204510 weeks
198.01998 -.00603 (198*2π)/204510 weeks
199.03356 -.03212 (199*2π)/204510 weeks
200.03302 -.05187 (200*2π)/204510 weeks
201.01894 -.07792 (201*2π)/204510 weeks
202-.01634 -.07624 (202*2π)/204510 weeks
203-.02051 -.04999 (203*2π)/204510 weeks
204-.00939 -.05079 (204*2π)/204510 weeks
205-.02001 -.05784 (205*2π)/204510 weeks
206-.03376 -.04333 (206*2π)/204510 weeks
207-.03589 -.02863 (207*2π)/204510 weeks
208-.02195 .00802 (208*2π)/204510 weeks
209.03088 .00167 (209*2π)/204510 weeks
210.04424 -.03716 (210*2π)/204510 weeks
211.037 -.07059 (211*2π)/204510 weeks
212-.00004 -.09234 (212*2π)/204510 weeks
213-.03483 -.06964 (213*2π)/204510 weeks
214-.03042 -.0396 (214*2π)/204510 weeks
215-.02061 -.03062 (215*2π)/204510 weeks
216-.00362 -.02335 (216*2π)/20459 weeks
217.00632 -.03268 (217*2π)/20459 weeks
218.01471 -.03443 (218*2π)/20459 weeks
219.03189 -.05306 (219*2π)/20459 weeks
220.02595 -.08296 (220*2π)/20459 weeks
221.001 -.11601 (221*2π)/20459 weeks
222-.06309 -.11388 (222*2π)/20459 weeks
223-.09577 -.05807 (223*2π)/20459 weeks
224-.07585 -.00539 (224*2π)/20459 weeks
225-.0397 .01735 (225*2π)/20459 weeks
226.00654 .01199 (226*2π)/20459 weeks
227.02959 -.02492 (227*2π)/20459 weeks
228.01015 -.06274 (228*2π)/20459 weeks
229-.02172 -.06006 (229*2π)/20459 weeks
230-.03458 -.03776 (230*2π)/20459 weeks
231-.02027 -.01851 (231*2π)/20459 weeks
232-.00566 -.02164 (232*2π)/20459 weeks
233.00386 -.02612 (233*2π)/20459 weeks
234.00791 -.03865 (234*2π)/20459 weeks
235.00466 -.04573 (235*2π)/20459 weeks
236.00417 -.05432 (236*2π)/20459 weeks
237-.01393 -.05907 (237*2π)/20459 weeks
238-.00831 -.05001 (238*2π)/20459 weeks
239-.02019 -.06288 (239*2π)/20459 weeks
240-.03488 -.04181 (240*2π)/20459 weeks
241-.00627 -.02674 (241*2π)/20458 weeks
242-.00012 -.05871 (242*2π)/20458 weeks
243-.01816 -.06173 (243*2π)/20458 weeks
244-.02184 -.06336 (244*2π)/20458 weeks
245-.03537 -.07294 (245*2π)/20458 weeks
246-.062 -.06435 (246*2π)/20458 weeks
247-.07593 -.03693 (247*2π)/20458 weeks
248-.06892 -.00985 (248*2π)/20458 weeks
249-.05152 .01315 (249*2π)/20458 weeks
250-.01586 .0161 (250*2π)/20458 weeks
251.00358 -.0114 (251*2π)/20458 weeks
252-.00986 -.03595 (252*2π)/20458 weeks
253-.03352 -.03882 (253*2π)/20458 weeks
254-.05878 -.02156 (254*2π)/20458 weeks
255-.05786 .02579 (255*2π)/20458 weeks
256-.01305 .05138 (256*2π)/20458 weeks
257.03664 .03581 (257*2π)/20458 weeks
258.05282 -.01105 (258*2π)/20458 weeks
259.03156 -.04539 (259*2π)/20458 weeks
260.00408 -.04307 (260*2π)/20458 weeks
261-.00701 -.03511 (261*2π)/20458 weeks
262-.00687 -.01054 (262*2π)/20458 weeks
263.02766 -.01065 (263*2π)/20458 weeks
264.03447 -.04636 (264*2π)/20458 weeks
265.01613 -.06959 (265*2π)/20458 weeks
266-.0259 -.07603 (266*2π)/20458 weeks
267-.05137 -.03686 (267*2π)/20458 weeks
268-.03802 .00139 (268*2π)/20458 weeks
269-.00264 .01901 (269*2π)/20458 weeks
270.03689 .00661 (270*2π)/20458 weeks
271.05346 -.03049 (271*2π)/20458 weeks
272.04014 -.06247 (272*2π)/20458 weeks
273.01932 -.07598 (273*2π)/20457 weeks
274.00073 -.07973 (274*2π)/20457 weeks
275-.0199 -.0805 (275*2π)/20457 weeks
276-.0433 -.0639 (276*2π)/20457 weeks
277-.04594 -.0344 (277*2π)/20457 weeks
278-.02522 -.01486 (278*2π)/20457 weeks
279-.0047 -.02497 (279*2π)/20457 weeks
280-.00634 -.03496 (280*2π)/20457 weeks
281-.00924 -.03735 (281*2π)/20457 weeks
282-.01018 -.0324 (282*2π)/20457 weeks
283.0007 -.03421 (283*2π)/20457 weeks
284-.00337 -.04899 (284*2π)/20457 weeks
285-.01363 -.04583 (285*2π)/20457 weeks
286-.01197 -.04236 (286*2π)/20457 weeks
287-.01287 -.04395 (287*2π)/20457 weeks
288-.01073 -.04115 (288*2π)/20457 weeks
289-.008 -.04996 (289*2π)/20457 weeks
290-.01823 -.05801 (290*2π)/20457 weeks
291-.03128 -.05499 (291*2π)/20457 weeks
292-.04043 -.03949 (292*2π)/20457 weeks
293-.02447 -.02669 (293*2π)/20457 weeks
294-.01663 -.03906 (294*2π)/20457 weeks
295-.02746 -.04701 (295*2π)/20457 weeks
296-.03336 -.03775 (296*2π)/20457 weeks
297-.03283 -.03473 (297*2π)/20457 weeks
298-.03308 -.02955 (298*2π)/20457 weeks
299-.02421 -.02588 (299*2π)/20457 weeks
300-.02656 -.03797 (300*2π)/20457 weeks
301-.03 -.03428 (301*2π)/20457 weeks
302-.04121 -.04053 (302*2π)/20457 weeks
303-.04918 -.02262 (303*2π)/20457 weeks
304-.04381 -.01827 (304*2π)/20457 weeks
305-.05082 -.00878 (305*2π)/20457 weeks
306-.04252 .01203 (306*2π)/20457 weeks
307-.02208 .017 (307*2π)/20457 weeks
308-.00572 .01398 (308*2π)/20457 weeks
309.00732 .00269 (309*2π)/20457 weeks
310.00855 -.01431 (310*2π)/20457 weeks
311.00155 -.01689 (311*2π)/20457 weeks
312.00112 -.02306 (312*2π)/20457 weeks
313-.00183 -.01829 (313*2π)/20457 weeks
314.00499 -.02344 (314*2π)/20457 weeks
315.00613 -.03101 (315*2π)/20456 weeks
316-.00219 -.03863 (316*2π)/20456 weeks
317-.00345 -.03804 (317*2π)/20456 weeks
318-.00902 -.04716 (318*2π)/20456 weeks
319-.02354 -.04444 (319*2π)/20456 weeks
320-.02534 -.03675 (320*2π)/20456 weeks
321-.03328 -.03829 (321*2π)/20456 weeks
322-.04043 -.02054