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Fourier Analysis of APA (Apache Corporation Common Stock)


APA (Apache Corporation Common Stock) appears to have interesting cyclic behaviour every 151 weeks (3.5092*cosine), 140 weeks (3.3155*sine), and 178 weeks (2.0346*cosine).

APA (Apache Corporation Common Stock) has an average price of 31.23 (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 11/28/2016 for APA (Apache Corporation Common Stock), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
031.23445   0 
114.61662 -37.54944 (1*2π)/19591,959 weeks
2-9.30347 -18.36888 (2*2π)/1959980 weeks
3-5.972 -2.61025 (3*2π)/1959653 weeks
4-1.07503 -2.4272 (4*2π)/1959490 weeks
5-1.19444 -2.90001 (5*2π)/1959392 weeks
6-1.29064 -1.38774 (6*2π)/1959327 weeks
7.17867 -1.25018 (7*2π)/1959280 weeks
8-.55109 -1.85432 (8*2π)/1959245 weeks
9-.65037 -1.43717 (9*2π)/1959218 weeks
10-1.86921 -1.99583 (10*2π)/1959196 weeks
11-2.0346 1.94179 (11*2π)/1959178 weeks
121.33301 1.99437 (12*2π)/1959163 weeks
133.50919 -.32779 (13*2π)/1959151 weeks
141.89831 -3.31547 (14*2π)/1959140 weeks
15-1.00184 -1.59646 (15*2π)/1959131 weeks
16.7006 .1738 (16*2π)/1959122 weeks
171.99944 -1.1724 (17*2π)/1959115 weeks
18.98086 -2.68648 (18*2π)/1959109 weeks
19-.76892 -1.65151 (19*2π)/1959103 weeks
20-.44599 -.16333 (20*2π)/195998 weeks
211.1732 -.53726 (21*2π)/195993 weeks
22.81261 -2.025 (22*2π)/195989 weeks
23-.7359 -2.06329 (23*2π)/195985 weeks
24-1.42005 -.82417 (24*2π)/195982 weeks
25-.56106 .97573 (25*2π)/195978 weeks
261.6239 -.01012 (26*2π)/195975 weeks
27.93112 -1.83225 (27*2π)/195973 weeks
28-.40125 -1.94334 (28*2π)/195970 weeks
29-1.45484 -.68941 (29*2π)/195968 weeks
30-.22272 .68204 (30*2π)/195965 weeks
31.69993 -.06795 (31*2π)/195963 weeks
32.71847 -.83414 (32*2π)/195961 weeks
33.20896 -1.09849 (33*2π)/195959 weeks
34.00878 -.8459 (34*2π)/195958 weeks
35.06813 -.95205 (35*2π)/195956 weeks
36-.32679 -1.19962 (36*2π)/195954 weeks
37-.69735 -.76302 (37*2π)/195953 weeks
38-.65043 .06942 (38*2π)/195952 weeks
39.20545 -.33884 (39*2π)/195950 weeks
40-.0022 -.68356 (40*2π)/195949 weeks
41-.4851 -.90753 (41*2π)/195948 weeks
42-1.17032 -.35467 (42*2π)/195947 weeks
43-.25939 .72701 (43*2π)/195946 weeks
44.22739 .11138 (44*2π)/195945 weeks
45.44481 -.05459 (45*2π)/195944 weeks
46.34338 -.25777 (46*2π)/195943 weeks
47.3574 -.08781 (47*2π)/195942 weeks
48.64328 -.36812 (48*2π)/195941 weeks
49.56836 -.8127 (49*2π)/195940 weeks
50.11262 -1.09818 (50*2π)/195939 weeks
51-.38173 -.77095 (51*2π)/195938 weeks
52-.17042 -.23393 (52*2π)/195938 weeks
53.09254 -.44287 (53*2π)/195937 weeks
54.01579 -.48351 (54*2π)/195936 weeks
55-.18827 -.57521 (55*2π)/195936 weeks
56-.2385 -.28067 (56*2π)/195935 weeks
57-.21726 -.43594 (57*2π)/195934 weeks
58-.40463 -.22015 (58*2π)/195934 weeks
59-.45427 -.13591 (59*2π)/195933 weeks
60-.3111 .39377 (60*2π)/195933 weeks
61.27347 .39026 (61*2π)/195932 weeks
62.64756 -.00647 (62*2π)/195932 weeks
63.56373 -.58033 (63*2π)/195931 weeks
64.00185 -.49672 (64*2π)/195931 weeks
65-.14586 -.27015 (65*2π)/195930 weeks
66.18018 -.04426 (66*2π)/195930 weeks
67.19975 -.41757 (67*2π)/195929 weeks
68.0325 -.32958 (68*2π)/195929 weeks
69.08772 -.18386 (69*2π)/195928 weeks
70.40809 -.28184 (70*2π)/195928 weeks
71.19996 -.63603 (71*2π)/195928 weeks
72-.12821 -.53905 (72*2π)/195927 weeks
73-.02154 -.30364 (73*2π)/195927 weeks
74.00898 -.22426 (74*2π)/195926 weeks
75.13619 -.39764 (75*2π)/195926 weeks
76.03303 -.3557 (76*2π)/195926 weeks
77-.00827 -.38369 (77*2π)/195925 weeks
78-.04335 -.16495 (78*2π)/195925 weeks
79.34446 -.33595 (79*2π)/195925 weeks
80-.02716 -.75748 (80*2π)/195924 weeks
81-.38592 -.5519 (81*2π)/195924 weeks
82-.22687 -.052 (82*2π)/195924 weeks
83.05507 -.29953 (83*2π)/195924 weeks
84-.15354 -.50199 (84*2π)/195923 weeks
85-.3423 -.21512 (85*2π)/195923 weeks
86-.019 -.00917 (86*2π)/195923 weeks
87.1698 -.3748 (87*2π)/195923 weeks
88-.17282 -.41279 (88*2π)/195922 weeks
89-.15639 -.29349 (89*2π)/195922 weeks
90-.01277 -.36236 (90*2π)/195922 weeks
91-.34097 -.44558 (91*2π)/195922 weeks
92-.3785 -.23038 (92*2π)/195921 weeks
93-.49553 -.03738 (93*2π)/195921 weeks
94-.27777 .30323 (94*2π)/195921 weeks
95.31326 .23284 (95*2π)/195921 weeks
96.33804 -.38204 (96*2π)/195920 weeks
97-.11565 -.42627 (97*2π)/195920 weeks
98-.18196 -.07703 (98*2π)/195920 weeks
99.17774 -.01249 (99*2π)/195920 weeks
100.18823 -.3927 (100*2π)/195920 weeks
101-.25425 -.3356 (101*2π)/195919 weeks
102-.14548 -.02329 (102*2π)/195919 weeks
103-.02531 .05067 (103*2π)/195919 weeks
104.20945 -.03123 (104*2π)/195919 weeks
105.17703 -.27615 (105*2π)/195919 weeks
106-.02484 -.43214 (106*2π)/195918 weeks
107-.32762 -.23091 (107*2π)/195918 weeks
108-.10849 .12616 (108*2π)/195918 weeks
109.22312 -.16835 (109*2π)/195918 weeks
110-.0145 -.34706 (110*2π)/195918 weeks
111-.12382 -.30012 (111*2π)/195918 weeks
112-.18345 -.22818 (112*2π)/195917 weeks
113-.01028 -.04688 (113*2π)/195917 weeks
114.01822 -.26383 (114*2π)/195917 weeks
115-.13588 -.23566 (115*2π)/195917 weeks
116-.25294 -.1556 (116*2π)/195917 weeks
117-.15287 .19498 (117*2π)/195917 weeks
118.34911 .10259 (118*2π)/195917 weeks
119.35078 -.37033 (119*2π)/195916 weeks
120.03166 -.6192 (120*2π)/195916 weeks
121-.41429 -.45564 (121*2π)/195916 weeks
122-.43628 -.00723 (122*2π)/195916 weeks
123-.11395 .201 (123*2π)/195916 weeks
124.14905 -.04428 (124*2π)/195916 weeks
125-.00999 -.28387 (125*2π)/195916 weeks
126-.21783 -.08872 (126*2π)/195916 weeks
127.15019 -.04996 (127*2π)/195915 weeks
128.00685 -.44416 (128*2π)/195915 weeks
129-.37317 -.28561 (129*2π)/195915 weeks
130-.27812 .0139 (130*2π)/195915 weeks
131-.10169 .03323 (131*2π)/195915 weeks
132-.05348 .04804 (132*2π)/195915 weeks
133.08752 .00331 (133*2π)/195915 weeks
134.17584 -.16538 (134*2π)/195915 weeks
135-.11057 -.32984 (135*2π)/195915 weeks
136-.19655 -.03279 (136*2π)/195914 weeks
137-.056 -.01321 (137*2π)/195914 weeks
138-.01098 -.03 (138*2π)/195914 weeks
139.00379 -.0283 (139*2π)/195914 weeks
140.03745 -.03582 (140*2π)/195914 weeks
141.10482 -.0795 (141*2π)/195914 weeks
142.07418 -.26514 (142*2π)/195914 weeks
143-.15514 -.21421 (143*2π)/195914 weeks
144-.16889 -.00493 (144*2π)/195914 weeks
145.02971 .06169 (145*2π)/195914 weeks
146.06349 -.06185 (146*2π)/195913 weeks
147.13614 -.09676 (147*2π)/195913 weeks
148.07705 -.27941 (148*2π)/195913 weeks
149-.16229 -.24131 (149*2π)/195913 weeks
150-.09758 -.02484 (150*2π)/195913 weeks
151-.0133 -.09057 (151*2π)/195913 weeks
152-.07597 -.07346 (152*2π)/195913 weeks
153-.00239 -.03568 (153*2π)/195913 weeks
154.01865 -.08307 (154*2π)/195913 weeks
155-.0209 -.1658 (155*2π)/195913 weeks
156-.10829 -.14757 (156*2π)/195913 weeks
157-.16341 -.04718 (157*2π)/195912 weeks
158-.16047 .07878 (158*2π)/195912 weeks
159.12407 .10609 (159*2π)/195912 weeks
160.11117 -.1779 (160*2π)/195912 weeks
161-.13044 -.17575 (161*2π)/195912 weeks
162-.10643 .10342 (162*2π)/195912 weeks
163.24446 .09665 (163*2π)/195912 weeks
164.24816 -.24842 (164*2π)/195912 weeks
165-.10344 -.3097 (165*2π)/195912 weeks
166-.09568 -.02966 (166*2π)/195912 weeks
167.02831 -.00483 (167*2π)/195912 weeks
168.07441 -.09247 (168*2π)/195912 weeks
169.13024 -.16877 (169*2π)/195912 weeks
170-.08816 -.26654 (170*2π)/195912 weeks
171-.11343 -.06291 (171*2π)/195911 weeks
172-.03228 -.05012 (172*2π)/195911 weeks
173.03289 -.07037 (173*2π)/195911 weeks
174-.00906 -.24422 (174*2π)/195911 weeks
175-.1939 -.15578 (175*2π)/195911 weeks
176-.11016 .02896 (176*2π)/195911 weeks
177-.02538 -.01 (177*2π)/195911 weeks
178.01775 -.06314 (178*2π)/195911 weeks
179-.04388 -.06471 (179*2π)/195911 weeks
180.00225 -.00591 (180*2π)/195911 weeks
181.05983 -.07778 (181*2π)/195911 weeks
182.04 -.03707 (182*2π)/195911 weeks
183.08891 -.0542 (183*2π)/195911 weeks
184.14215 -.13018 (184*2π)/195911 weeks
185.03538 -.17408 (185*2π)/195911 weeks
186.0328 -.1021 (186*2π)/195911 weeks
187.10277 -.19748 (187*2π)/195910 weeks
188-.07466 -.25936 (188*2π)/195910 weeks
189-.1167 -.12086 (189*2π)/195910 weeks
190-.08419 -.01422 (190*2π)/195910 weeks
191.14234 -.1436 (191*2π)/195910 weeks
192-.14405 -.27577 (192*2π)/195910 weeks
193-.20829 .0056 (193*2π)/195910 weeks
194-.00897 .05074 (194*2π)/195910 weeks
195.09421 -.01576 (195*2π)/195910 weeks
196.10737 -.14966 (196*2π)/195910 weeks
197-.05932 -.20674 (197*2π)/195910 weeks
198-.13278 -.05778 (198*2π)/195910 weeks
199-.06142 .11043 (199*2π)/195910 weeks
200.24311 .08385 (200*2π)/195910 weeks
201.22453 -.26075 (201*2π)/195910 weeks
202-.07195 -.26607 (202*2π)/195910 weeks
203-.10544 -.01442 (203*2π)/195910 weeks
204.06835 .02815 (204*2π)/195910 weeks
205.20298 -.12668 (205*2π)/195910 weeks
206.04086 -.33671 (206*2π)/195910 weeks
207-.2219 -.16114 (207*2π)/19599 weeks
208-.06428 .04621 (208*2π)/19599 weeks
209.12077 .01169 (209*2π)/19599 weeks
210.14553 -.25956 (210*2π)/19599 weeks
211-.07714 -.27684 (211*2π)/19599 weeks
212-.21301 -.10269 (212*2π)/19599 weeks
213.00065 .06789 (213*2π)/19599 weeks
214.19573 -.10949 (214*2π)/19599 weeks
215.07106 -.34859 (215*2π)/19599 weeks
216-.17073 -.28472 (216*2π)/19599 weeks
217-.19786 -.05161 (217*2π)/19599 weeks
218-.02828 -.03074 (218*2π)/19599 weeks
219-.01108 -.09863 (219*2π)/19599 weeks
220-.091 -.06977 (220*2π)/19599 weeks
221.00153 -.02967 (221*2π)/19599 weeks
222.03139 -.09891 (222*2π)/19599 weeks
223-.02324 -.21972 (223*2π)/19599 weeks
224-.13635 -.16703 (224*2π)/19599 weeks
225-.1799 -.03889 (225*2π)/19599 weeks
226-.02714 .05002 (226*2π)/19599 weeks
227-.01932 -.07697 (227*2π)/19599 weeks
228-.00869 -.01317 (228*2π)/19599 weeks
229.0397 -.09044 (229*2π)/19599 weeks
230-.04974 -.05889 (230*2π)/19599 weeks
231.07129 -.09256 (231*2π)/19598 weeks
232-.05881 -.13108 (232*2π)/19598 weeks
233-.02197 -.0444 (233*2π)/19598 weeks
234.00875 -.07346 (234*2π)/19598 weeks
235.05081 -.04776 (235*2π)/19598 weeks
236.1156 -.13582 (236*2π)/19598 weeks
237.01326 -.25437 (237*2π)/19598 weeks
238-.06186 -.22449 (238*2π)/19598 weeks
239-.18393 -.18029 (239*2π)/19598 weeks
240-.19547 -.0169 (240*2π)/19598 weeks
241-.0892 .00276 (241*2π)/19598 weeks
242-.05798 .03385 (242*2π)/19598 weeks
243.06382 .03506 (243*2π)/19598 weeks
244.13141 -.15276 (244*2π)/19598 weeks
245-.04581 -.29972 (245*2π)/19598 weeks
246-.28959 -.12757 (246*2π)/19598 weeks
247-.16862 .09864 (247*2π)/19598 weeks
248.00517 .05346 (248*2π)/19598 weeks
249.00213 .03548 (249*2π)/19598 weeks
250-.00113 -.01042 (250*2π)/19598 weeks
251.0952 .02588 (251*2π)/19598 weeks
252.07781 -.14269 (252*2π)/19598 weeks
253-.0758 -.10499 (253*2π)/19598 weeks
254-.03759 .0655 (254*2π)/19598 weeks
255.18814 -.00037 (255*2π)/19598 weeks
256.14468 -.24395 (256*2π)/19598 weeks
257-.08242 -.25279 (257*2π)/19598 weeks
258-.12768 -.10748 (258*2π)/19598 weeks
259-.02348 .00991 (259*2π)/19598 weeks
260.07426 -.09431 (260*2π)/19598 weeks
261.0063 -.25268 (261*2π)/19598 weeks
262-.19694 -.20152 (262*2π)/19597 weeks
263-.22112 .05866 (263*2π)/19597 weeks
264.01634 .15004 (264*2π)/19597 weeks
265.21251 -.0532 (265*2π)/19597 weeks
266-.00079 -.26959 (266*2π)/19597 weeks
267-.15925 -.12256 (267*2π)/19597 weeks
268-.0842 -.02957 (268*2π)/19597 weeks
269-.03996 -.00752 (269*2π)/19597 weeks
270.01164 -.00063 (270*2π)/19597 weeks
271.05806 -.04345 (271*2π)/19597 weeks
272.11434 -.08565 (272*2π)/19597 weeks
273.09509 -.20674 (273*2π)/19597 weeks
274-.00971 -.26849 (274*2π)/19597 weeks
275-.20997 -.20292 (275*2π)/19597 weeks
276-.16637 .01303 (276*2π)/19597 weeks
277.01671 .03697 (277*2π)/19597 weeks
278.08075 -.11047 (278*2π)/19597 weeks
279-.04773 -.23639 (279*2π)/19597 weeks
280-.20261 -.12541 (280*2π)/19597 weeks
281-.15122 .01549 (281*2π)/19597 weeks
282-.07557 .02035 (282*2π)/19597 weeks
283-.01315 .04793 (283*2π)/19597 weeks
284.01624 -.04132 (284*2π)/19597 weeks
285.03422 -.01248 (285*2π)/19597 weeks
286.00853 -.10194 (286*2π)/19597 weeks
287-.00616 -.04098 (287*2π)/19597 weeks
288.05193 -.05341 (288*2π)/19597 weeks
289-.03896 -.16004 (289*2π)/19597 weeks
290-.09547 -.01373 (290*2π)/19597 weeks
291.01575 -.00258 (291*2π)/19597 weeks
292.07195 .00849 (292*2π)/19597 weeks
293.14266 -.10522 (293*2π)/19597 weeks
294.05128 -.23782 (294*2π)/19597 weeks
295-.08077 -.21332 (295*2π)/19597 weeks
296-.12456 -.09216 (296*2π)/19597 weeks
297-.03442 -.08086 (297*2π)/19597 weeks
298-.08758 -.12697 (298*2π)/19597 weeks
299-.10785 -.01206 (299*2π)/19597 weeks
300-.04078 .0041 (300*2π)/19597 weeks
301.03318 .00635 (301*2π)/19597 weeks
302.04774 -.10934 (302*2π)/19596 weeks
303-.06371 -.15768 (303*2π)/19596 weeks
304-.14219 -.07901 (304*2π)/19596 weeks
305-.07956 .07265 (305*2π)/19596 weeks
306.08205 .01326 (306*2π)/19596 weeks
307.07064 -.12905 (307*2π)/19596 weeks
308-.03715 -.16517 (308*2π)/19596 weeks
309-.11099 -.07291 (309*2π)/19596 weeks
310-.03928 .02189 (310*2π)/19596 weeks
311.12677 -.04209 (311*2π)/19596 weeks
312.03282 -.21941 (312*2π)/19596 weeks
313-.13085 -.20708 (313*2π)/19596 weeks
314-.12314 -.03113 (314*2π)/19596 weeks
315-.00695 -.006 (315*2π)/19596 weeks
316.03619 -.12305 (316*2π)/19596 weeks
317-.08874 -.15515 (317*2π)/19596 weeks
318-.11696 -.07724 (318*2π)/19596 weeks
319-.09706 .02407 (319*2π)/19596 weeks
320.02492 .00419 (320*2π)/19596 weeks
321.06123 -.08721 (321*2π)/19596 weeks
322-.02506 -.14519 (322*2π)/19596 weeks
323-.13449 -.0771 (323*2π)/19596 weeks
324-.00412 -.00775 (324*2π)/19596 weeks
325.0278 -.1378 (325*2π)/19596 weeks
326-.068 -.17117 (326*2π)/19596 weeks
327-.13977 -.11241 (327*2π)/19596 weeks
328-.11494 -.03631 (328*2π)/19596 weeks
329-.07405 .00217 (329*2π)/19596 weeks
330-.01814 -.04255 (330*2π)/19596 weeks
331-.07161 -.11165 (331*2π)/19596 weeks
332-.14234 -.05488 (332*2π)/19596 weeks
333-.12848 .019 (333*2π)/19596 weeks
334-.04212 .04822 (334*2π)/19596 weeks
335.0324 .00815 (335*2π)/19596 weeks
336-.00378 -.09562 (336*2π)/19596 weeks
337-.04518 -.03436 (337*2π)/19596 weeks
338-.00765 -.09508 (338*2π)/19596 weeks
339-.1058 -.15466 (339*2π)/19596 weeks
340-.22331 .00137 (340*2π)/19596 weeks
341-.1084 .14669 (341*2π)/19596 weeks
342.07989 .10095 (342*2π)/19596 weeks
343.06637 -.03278 (343*2π)/19596 weeks
344.00093 -.05741 (344*2π)/19596 weeks
345-.0323 -.00966 (345*2π)/19596 weeks
346.05224 .03006 (346*2π)/19596 weeks
347.06694 -.10277 (347*2π)/19596 weeks
348-.00956 -.08464 (348*2π)/19596 weeks
349-.0099 -.08271 (349*2π)/19596 weeks
350-.04438 -.03653 (350*2π)/19596 weeks
351.06097 -.02756 (351*2π)/19596 weeks
352.02757 -.1794 (352*2π)/19596 weeks
353-.13186 -.12718 (353*2π)/19596 weeks
354-.12667 .02229 (354*2π)/19596 weeks
355.02798 .10114 (355*2π)/19596 weeks
356.11972 -.05308 (356*2π)/19596 weeks
357.00257 -.16981 (357*2π)/19595 weeks
358-.08138 -.02965 (358*2π)/19595 weeks
359.00332 -.01869 (359*2π)/19595 weeks
360.05232 -.03385 (360*2π)/19595 weeks
361.06378 -.14798 (361*2π)/19595 weeks