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Fourier Analysis of APA (Apache Corporation Common Stock)


APA (Apache Corporation Common Stock) appears to have interesting cyclic behaviour every 141 weeks (4.1895*sine), 152 weeks (3.577*cosine), and 165 weeks (2.9069*cosine).

APA (Apache Corporation Common Stock) has an average price of 31.33 (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 5/15/1979 to 3/20/2017 for APA (Apache Corporation Common Stock), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
031.33497   0 
113.80617 -37.87812 (1*2π)/19751,975 weeks
2-10.00803 -17.49583 (2*2π)/1975988 weeks
3-5.60817 -1.80683 (3*2π)/1975658 weeks
4-.71101 -2.18916 (4*2π)/1975494 weeks
5-.98219 -2.63885 (5*2π)/1975395 weeks
6-.85792 -1.13606 (6*2π)/1975329 weeks
7.54066 -1.32095 (7*2π)/1975282 weeks
8-.38419 -1.75691 (8*2π)/1975247 weeks
9-.40868 -1.26501 (9*2π)/1975219 weeks
10-1.55373 -1.33037 (10*2π)/1975198 weeks
11-.29049 2.27422 (11*2π)/1975180 weeks
122.9069 .67428 (12*2π)/1975165 weeks
133.577 -2.43532 (13*2π)/1975152 weeks
14.57945 -4.18948 (14*2π)/1975141 weeks
15-1.18895 -1.18726 (15*2π)/1975132 weeks
161.23257 -.56521 (16*2π)/1975123 weeks
171.39971 -2.45756 (17*2π)/1975116 weeks
18-.43005 -2.91371 (18*2π)/1975110 weeks
19-1.21492 -.91509 (19*2π)/1975104 weeks
20.03386 -.10788 (20*2π)/197599 weeks
21.91397 -1.48753 (21*2π)/197594 weeks
22-.51006 -2.197 (22*2π)/197590 weeks
23-1.53337 -.95393 (23*2π)/197586 weeks
24-.82607 .3419 (24*2π)/197582 weeks
25.96889 .58926 (25*2π)/197579 weeks
261.37305 -1.78417 (26*2π)/197576 weeks
27-.72753 -2.12266 (27*2π)/197573 weeks
28-1.38099 -.78499 (28*2π)/197571 weeks
29-.69577 .62245 (29*2π)/197568 weeks
301.0706 .10373 (30*2π)/197566 weeks
31.59243 -1.2421 (31*2π)/197564 weeks
32-.21893 -1.41103 (32*2π)/197562 weeks
33-.65895 -.89315 (33*2π)/197560 weeks
34-.45947 -.51539 (34*2π)/197558 weeks
35-.48178 -.5698 (35*2π)/197556 weeks
36-.71658 -.27514 (36*2π)/197555 weeks
37-.27271 .18533 (37*2π)/197553 weeks
38.37983 .18426 (38*2π)/197552 weeks
39.19193 -.82299 (39*2π)/197551 weeks
40-.28488 -.49537 (40*2π)/197549 weeks
41-.40585 -.08564 (41*2π)/197548 weeks
42.15752 .37525 (42*2π)/197547 weeks
431.19684 -.46497 (43*2π)/197546 weeks
44.28209 -1.13652 (44*2π)/197545 weeks
45.072 -1.08078 (45*2π)/197544 weeks
46-.1946 -.8559 (46*2π)/197543 weeks
47-.11495 -.75057 (47*2π)/197542 weeks
48-.43339 -.91725 (48*2π)/197541 weeks
49-.76353 -.60368 (49*2π)/197540 weeks
50-.73906 -.0781 (50*2π)/197540 weeks
51-.18819 .22398 (51*2π)/197539 weeks
52.25093 -.17055 (52*2π)/197538 weeks
53-.10669 -.41676 (53*2π)/197537 weeks
54-.12475 -.20006 (54*2π)/197537 weeks
55-.11537 -.06146 (55*2π)/197536 weeks
56.17136 -.11217 (56*2π)/197535 weeks
57.00235 -.22529 (57*2π)/197535 weeks
58.22709 -.15859 (58*2π)/197534 weeks
59.22834 -.36924 (59*2π)/197533 weeks
60.40073 -.67606 (60*2π)/197533 weeks
61-.11969 -1.04888 (61*2π)/197532 weeks
62-.62747 -.8216 (62*2π)/197532 weeks
63-.77382 -.26723 (63*2π)/197531 weeks
64-.25507 .16736 (64*2π)/197531 weeks
65-.05083 -.10085 (65*2π)/197530 weeks
66-.11559 -.43238 (66*2π)/197530 weeks
67-.45635 -.19897 (67*2π)/197529 weeks
68-.17396 -.09439 (68*2π)/197529 weeks
69-.16039 -.22961 (69*2π)/197529 weeks
70-.35683 -.2642 (70*2π)/197528 weeks
71-.35391 .15758 (71*2π)/197528 weeks
72.03182 .14324 (72*2π)/197527 weeks
73.0879 -.1875 (73*2π)/197527 weeks
74-.03654 -.15622 (74*2π)/197527 weeks
75-.19378 -.12409 (75*2π)/197526 weeks
76-.01301 -.01983 (76*2π)/197526 weeks
77-.02387 -.04878 (77*2π)/197526 weeks
78.04504 -.12114 (78*2π)/197525 weeks
79-.24559 -.12826 (79*2π)/197525 weeks
80-.03236 .32329 (80*2π)/197525 weeks
81.37491 -.02023 (81*2π)/197524 weeks
82.25518 -.45056 (82*2π)/197524 weeks
83-.20413 -.23737 (83*2π)/197524 weeks
84.02649 -.02829 (84*2π)/197524 weeks
85.20981 -.28471 (85*2π)/197523 weeks
86-.10916 -.43937 (86*2π)/197523 weeks
87-.25848 -.07418 (87*2π)/197523 weeks
88.14814 .00988 (88*2π)/197522 weeks
89.07987 -.26752 (89*2π)/197522 weeks
90-.01193 -.24612 (90*2π)/197522 weeks
91.1733 -.14954 (91*2π)/197522 weeks
92.0981 -.48652 (92*2π)/197521 weeks
93-.06624 -.49257 (93*2π)/197521 weeks
94-.36729 -.5527 (94*2π)/197521 weeks
95-.65194 -.20006 (95*2π)/197521 weeks
96-.30528 .32572 (96*2π)/197521 weeks
97.23255 .04649 (97*2π)/197520 weeks
98.05725 -.33859 (98*2π)/197520 weeks
99-.25157 -.19734 (99*2π)/197520 weeks
100-.05684 .12791 (100*2π)/197520 weeks
101.25694 -.11545 (101*2π)/197520 weeks
102-.08775 -.38539 (102*2π)/197519 weeks
103-.21637 -.12078 (103*2π)/197519 weeks
104-.2078 .0447 (104*2π)/197519 weeks
105.03751 .15522 (105*2π)/197519 weeks
106.18267 -.03458 (106*2π)/197519 weeks
107.1294 -.30251 (107*2π)/197518 weeks
108-.24891 -.31277 (108*2π)/197518 weeks
109-.25594 .11621 (109*2π)/197518 weeks
110.1698 .01974 (110*2π)/197518 weeks
111.05489 -.23402 (111*2π)/197518 weeks
112-.06263 -.25636 (112*2π)/197518 weeks
113-.16116 -.22444 (113*2π)/197517 weeks
114-.05106 .00603 (114*2π)/197517 weeks
115.04072 -.18689 (115*2π)/197517 weeks
116-.10864 -.20553 (116*2π)/197517 weeks
117-.25477 -.1575 (117*2π)/197517 weeks
118-.2295 .21975 (118*2π)/197517 weeks
119.29241 .22156 (119*2π)/197517 weeks
120.37376 -.25107 (120*2π)/197516 weeks
121.08042 -.54784 (121*2π)/197516 weeks
122-.38801 -.41692 (122*2π)/197516 weeks
123-.43062 .04028 (123*2π)/197516 weeks
124-.1014 .25516 (124*2π)/197516 weeks
125.15852 -.00103 (125*2π)/197516 weeks
126-.01685 -.22993 (126*2π)/197516 weeks
127-.20007 -.01633 (127*2π)/197516 weeks
128.16599 -.02754 (128*2π)/197515 weeks
129-.04803 -.38722 (129*2π)/197515 weeks
130-.38368 -.13976 (130*2π)/197515 weeks
131-.20076 .13671 (131*2π)/197515 weeks
132-.01076 .09971 (132*2π)/197515 weeks
133.04209 .08287 (133*2π)/197515 weeks
134.15595 -.01746 (134*2π)/197515 weeks
135.15524 -.19991 (135*2π)/197515 weeks
136-.1679 -.22618 (136*2π)/197515 weeks
137-.10807 .08838 (137*2π)/197514 weeks
138.04551 .02419 (138*2π)/197514 weeks
139.07278 -.02275 (139*2π)/197514 weeks
140.07958 -.03887 (140*2π)/197514 weeks
141.0957 -.07446 (141*2π)/197514 weeks
142.10675 -.14925 (142*2π)/197514 weeks
143-.02954 -.25615 (143*2π)/197514 weeks
144-.16221 -.05717 (144*2π)/197514 weeks
145-.00925 .08974 (145*2π)/197514 weeks
146.1731 -.02289 (146*2π)/197514 weeks
147.08608 -.15845 (147*2π)/197513 weeks
148.08306 -.20773 (148*2π)/197513 weeks
149-.09309 -.25389 (149*2π)/197513 weeks
150-.18639 -.03502 (150*2π)/197513 weeks
151.0431 .04063 (151*2π)/197513 weeks
152.03606 -.09134 (152*2π)/197513 weeks
153.00208 -.03916 (153*2π)/197513 weeks
154.0689 -.08306 (154*2π)/197513 weeks
155.01586 -.12399 (155*2π)/197513 weeks
156-.06392 -.11731 (156*2π)/197513 weeks
157-.05904 -.02377 (157*2π)/197513 weeks
158.02615 .03845 (158*2π)/197513 weeks
159.12525 .01051 (159*2π)/197512 weeks
160.20812 -.23689 (160*2π)/197512 weeks
161-.08917 -.285 (161*2π)/197512 weeks
162-.10957 -.04437 (162*2π)/197512 weeks
163.16049 -.04117 (163*2π)/197512 weeks
164.16191 -.36337 (164*2π)/197512 weeks
165-.20531 -.34682 (165*2π)/197512 weeks
166-.2545 .00554 (166*2π)/197512 weeks
167.07098 .00697 (167*2π)/197512 weeks
168.04601 -.15528 (168*2π)/197512 weeks
169-.07043 -.19254 (169*2π)/197512 weeks
170-.11774 -.17489 (170*2π)/197512 weeks
171-.18589 .02148 (171*2π)/197512 weeks
172.04848 .01538 (172*2π)/197511 weeks
173.01216 -.11002 (173*2π)/197511 weeks
174-.04256 -.13719 (174*2π)/197511 weeks
175-.15892 -.07717 (175*2π)/197511 weeks
176-.00352 .05811 (176*2π)/197511 weeks
177.135 -.10254 (177*2π)/197511 weeks
178.00533 -.19068 (178*2π)/197511 weeks
179-.05194 -.18361 (179*2π)/197511 weeks
180-.04589 -.11721 (180*2π)/197511 weeks
181-.01674 -.17565 (181*2π)/197511 weeks
182-.10314 -.19349 (182*2π)/197511 weeks
183-.06733 -.13653 (183*2π)/197511 weeks
184-.1164 -.15581 (184*2π)/197511 weeks
185-.16644 -.12084 (185*2π)/197511 weeks
186-.13509 .00662 (186*2π)/197511 weeks
187-.05901 -.03193 (187*2π)/197511 weeks
188-.13681 -.04131 (188*2π)/197511 weeks
189-.06398 .10365 (189*2π)/197510 weeks
190.08094 -.01107 (190*2π)/197510 weeks
191.03875 -.1056 (191*2π)/197510 weeks
192-.13184 -.16246 (192*2π)/197510 weeks
193-.03619 .12135 (193*2π)/197510 weeks
194.17626 -.103 (194*2π)/197510 weeks
195-.03991 -.26272 (195*2π)/197510 weeks
196-.15055 -.15856 (196*2π)/197510 weeks
197-.15895 -.02832 (197*2π)/197510 weeks
198-.02657 .058 (198*2π)/197510 weeks
199.08148 -.08681 (199*2π)/197510 weeks
200-.01329 -.20834 (200*2π)/197510 weeks
201-.24106 -.19897 (201*2π)/197510 weeks
202-.26662 .14334 (202*2π)/197510 weeks
203.07387 .17865 (203*2π)/197510 weeks
204.12334 -.0914 (204*2π)/197510 weeks
205-.10582 -.12703 (205*2π)/197510 weeks
206-.17765 .03312 (206*2π)/197510 weeks
207-.00871 .1917 (207*2π)/197510 weeks
208.21606 .01249 (208*2π)/19759 weeks
209.00792 -.22449 (209*2π)/19759 weeks
210-.16242 -.07085 (210*2π)/19759 weeks
211-.12355 .13419 (211*2π)/19759 weeks
212.15317 .08571 (212*2π)/19759 weeks
213.14603 -.11919 (213*2π)/19759 weeks
214-.08154 -.22056 (214*2π)/19759 weeks
215-.17341 .03063 (215*2π)/19759 weeks
216.06165 .15941 (216*2π)/19759 weeks
217.24901 -.04931 (217*2π)/19759 weeks
218.11231 -.25173 (218*2π)/19759 weeks
219-.10616 -.17574 (219*2π)/19759 weeks
220-.04855 -.04207 (220*2π)/19759 weeks
221.01575 -.05779 (221*2π)/19759 weeks
222-.06807 -.0902 (222*2π)/19759 weeks
223-.03867 .00624 (223*2π)/19759 weeks
224.03286 .00107 (224*2π)/19759 weeks
225.08728 -.13454 (225*2π)/19759 weeks
226-.0181 -.1921 (226*2π)/19759 weeks
227-.15351 -.13495 (227*2π)/19759 weeks
228-.09651 .03556 (228*2π)/19759 weeks
229-.03129 -.05228 (229*2π)/19759 weeks
230-.04707 .01397 (230*2π)/19759 weeks
231.03826 -.02712 (231*2π)/19759 weeks
232-.05396 -.03392 (232*2π)/19759 weeks
233.07553 -.01824 (233*2π)/19758 weeks
234-.02354 -.10578 (234*2π)/19758 weeks
235-.02516 -.01808 (235*2π)/19758 weeks
236.00994 -.03166 (236*2π)/19758 weeks
237.04653 .01016 (237*2π)/19758 weeks
238.14388 -.05381 (238*2π)/19758 weeks
239.08254 -.2031 (239*2π)/19758 weeks
240.00314 -.20586 (240*2π)/19758 weeks
241-.13469 -.19228 (241*2π)/19758 weeks
242-.18358 -.03025 (242*2π)/19758 weeks
243-.08605 .01076 (243*2π)/19758 weeks
244-.0557 .05052 (244*2π)/19758 weeks
245.07019 .06244 (245*2π)/19758 weeks
246.14819 -.1254 (246*2π)/19758 weeks
247-.03065 -.27658 (247*2π)/19758 weeks
248-.27249 -.09539 (248*2π)/19758 weeks
249-.13495 .12834 (249*2π)/19758 weeks
250.0403 .06761 (250*2π)/19758 weeks
251.03678 .04419 (251*2π)/19758 weeks
252.03151 -.00566 (252*2π)/19758 weeks
253.12816 .00694 (253*2π)/19758 weeks
254.0712 -.15586 (254*2π)/19758 weeks
255-.06711 -.07861 (255*2π)/19758 weeks
256.02276 .06396 (256*2π)/19758 weeks
257.20689 -.08109 (257*2π)/19758 weeks
258.0632 -.29017 (258*2π)/19758 weeks
259-.1528 -.19619 (259*2π)/19758 weeks
260-.11879 -.0368 (260*2π)/19758 weeks
261.02491 .01159 (261*2π)/19758 weeks
262.04978 -.13494 (262*2π)/19758 weeks
263-.09242 -.21775 (263*2π)/19758 weeks
264-.2186 -.04766 (264*2π)/19757 weeks
265-.07087 .16367 (265*2π)/19757 weeks
266.16871 .05976 (266*2π)/19757 weeks
267.1604 -.21853 (267*2π)/19757 weeks
268-.15291 -.22685 (268*2π)/19757 weeks
269-.14948 .00574 (269*2π)/19757 weeks
270-.00639 .00836 (270*2π)/19757 weeks
271.03328 -.02685 (271*2π)/19757 weeks
272.05765 -.07251 (272*2π)/19757 weeks
273.03922 -.14006 (273*2π)/19757 weeks
274.0169 -.18935 (274*2π)/19757 weeks
275-.10126 -.21505 (275*2π)/19757 weeks
276-.19215 -.12078 (276*2π)/19757 weeks
277-.20368 .07044 (277*2π)/19757 weeks
278.02635 .10984 (278*2π)/19757 weeks
279.10336 -.06473 (279*2π)/19757 weeks
280-.03232 -.16571 (280*2π)/19757 weeks
281-.17618 -.07057 (281*2π)/19757 weeks
282-.09537 .10783 (282*2π)/19757 weeks
283.06898 .06885 (283*2π)/19757 weeks
284.08047 -.03772 (284*2π)/19757 weeks
285.08688 -.08529 (285*2π)/19757 weeks
286-.00158 -.14107 (286*2π)/19757 weeks
287.01356 -.11373 (287*2π)/19757 weeks
288-.07311 -.11456 (288*2π)/19757 weeks
289-.01289 -.06864 (289*2π)/19757 weeks
290-.02854 -.11285 (290*2π)/19757 weeks
291-.12513 -.04971 (291*2π)/19757 weeks
292.02149 .00892 (292*2π)/19757 weeks
293.02269 -.12994 (293*2π)/19757 weeks
294-.01841 -.14532 (294*2π)/19757 weeks
295-.13734 -.16563 (295*2π)/19757 weeks
296-.21632 -.03 (296*2π)/19757 weeks
297-.11349 .08797 (297*2π)/19757 weeks
298.01674 .07042 (298*2π)/19757 weeks
299.0108 -.04271 (299*2π)/19757 weeks
300-.0291 .00603 (300*2π)/19757 weeks
301.07255 -.00537 (301*2π)/19757 weeks
302.02889 -.09486 (302*2π)/19757 weeks
303-.0196 -.11756 (303*2π)/19757 weeks
304-.12024 -.06642 (304*2π)/19756 weeks
305-.08151 .04299 (305*2π)/19756 weeks
306.03515 .02507 (306*2π)/19756 weeks
307.08404 -.1013 (307*2π)/19756 weeks
308-.08039 -.17875 (308*2π)/19756 weeks
309-.1645 -.04407 (309*2π)/19756 weeks
310-.07826 .05257 (310*2π)/19756 weeks
311.03201 .0177 (311*2π)/19756 weeks
312.01632 -.10029 (312*2π)/19756 weeks
313-.11828 -.12437 (313*2π)/19756 weeks
314-.15283 .08021 (314*2π)/19756 weeks
315.02018 .10818 (315*2π)/19756 weeks
316.11936 -.05238 (316*2π)/19756 weeks
317-.00689 -.11864 (317*2π)/19756 weeks
318-.08992 -.0323 (318*2π)/19756 weeks
319.00747 .0544 (319*2π)/19756 weeks
320.07359 -.04497 (320*2π)/19756 weeks
321.04606 -.10966 (321*2π)/19756 weeks
322-.07963 -.12539 (322*2π)/19756 weeks
323-.10151 -.01851 (323*2π)/19756 weeks
324-.01895 .05745 (324*2π)/19756 weeks
325.06108 .00427 (325*2π)/19756 weeks
326-.02002 -.1209 (326*2π)/19756 weeks
327-.08219 .00267 (327*2π)/19756 weeks
328.0419 .03404 (328*2π)/19756 weeks
329.09365 -.05002 (329*2π)/19756 weeks
330.04606 -.13199 (330*2π)/19756 weeks
331-.01714 -.12023 (331*2π)/19756 weeks
332-.06739 -.07108 (332*2π)/19756 weeks
333-.019 -.01713 (333*2π)/19756 weeks
334.03767 -.08655 (334*2π)/19756 weeks
335-.02952 -.14622 (335*2π)/19756 weeks
336-.11218 -.12915 (336*2π)/19756 weeks
337-.12848 -.04286 (337*2π)/19756 weeks
338-.0683 .03346 (338*2π)/19756 weeks
339.00912 -.03916 (339*2π)/19756 weeks
340-.05112 -.02785 (340*2π)/19756 weeks
341.02773 -.03059 (341*2π)/19756 weeks
342.04372 -.16579 (342*2π)/19756 weeks
343-.15727 -.19332 (343*2π)/19756 weeks
344-.24249 -.02434 (344*2π)/19756 weeks
345-.10444 .11484 (345*2π)/19756 weeks
346-.00808 .04661 (346*2π)/19756 weeks
347-.01877 -.01525 (347*2π)/19756 weeks
348-.07712 -.00761 (348*2π)/19756 weeks
349-.03917 .08986 (349*2π)/19756 weeks
350.06108 .00118 (350*2π)/19756 weeks
351