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Fourier Analysis of APA (Apache Corporation Common Stock)


APA (Apache Corporation Common Stock) appears to have interesting cyclic behaviour every 140 weeks (3.7317*sine), 151 weeks (3.7175*cosine), and 179 weeks (2.1689*sine).

APA (Apache Corporation Common Stock) has an average price of 31.34 (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 1/9/2017 for APA (Apache Corporation Common Stock), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
031.33689   0 
114.36879 -37.73357 (1*2π)/19651,965 weeks
2-9.55664 -18.07311 (2*2π)/1965983 weeks
3-5.82075 -2.30607 (3*2π)/1965655 weeks
4-.91022 -2.33281 (4*2π)/1965491 weeks
5-1.08807 -2.79829 (5*2π)/1965393 weeks
6-1.10135 -1.28033 (6*2π)/1965328 weeks
7.3517 -1.26414 (7*2π)/1965281 weeks
8-.45735 -1.81032 (8*2π)/1965246 weeks
9-.53429 -1.36053 (9*2π)/1965218 weeks
10-1.74973 -1.72021 (10*2π)/1965197 weeks
11-1.35595 2.16887 (11*2π)/1965179 weeks
122.04942 1.60012 (12*2π)/1965164 weeks
133.71747 -1.11334 (13*2π)/1965151 weeks
141.51099 -3.73169 (14*2π)/1965140 weeks
15-1.04879 -1.4629 (15*2π)/1965131 weeks
161.00239 -.07112 (16*2π)/1965123 weeks
171.92464 -1.71151 (17*2π)/1965116 weeks
18.5141 -2.90159 (18*2π)/1965109 weeks
19-.96134 -1.42853 (19*2π)/1965103 weeks
20-.22988 -.1085 (20*2π)/196598 weeks
211.20777 -.92964 (21*2π)/196594 weeks
22.37148 -2.23937 (22*2π)/196589 weeks
23-1.12582 -1.74559 (23*2π)/196585 weeks
24-1.30249 -.31539 (24*2π)/196582 weeks
25.09963 1.01167 (25*2π)/196579 weeks
261.7913 -.70263 (26*2π)/196576 weeks
27.39934 -2.16634 (27*2π)/196573 weeks
28-.89405 -1.65622 (28*2π)/196570 weeks
29-1.32133 -.09649 (29*2π)/196568 weeks
30.37084 .6563 (30*2π)/196566 weeks
31.88992 -.51258 (31*2π)/196563 weeks
32.51522 -1.20465 (32*2π)/196561 weeks
33-.09851 -1.18494 (33*2π)/196560 weeks
34-.18892 -.83106 (34*2π)/196558 weeks
35-.1844 -.925 (35*2π)/196556 weeks
36-.61896 -.93083 (36*2π)/196555 weeks
37-.7016 -.32924 (37*2π)/196553 weeks
38-.2677 .30286 (38*2π)/196552 weeks
39.31589 -.493 (39*2π)/196550 weeks
40-.11467 -.66298 (40*2π)/196549 weeks
41-.59991 -.56273 (41*2π)/196548 weeks
42-.78414 .23112 (42*2π)/196547 weeks
43.56497 .6377 (43*2π)/196546 weeks
44.62109 -.28442 (44*2π)/196545 weeks
45.63331 -.50583 (45*2π)/196544 weeks
46.38491 -.61276 (46*2π)/196543 weeks
47.43 -.48643 (47*2π)/196542 weeks
48.45612 -.87859 (48*2π)/196541 weeks
49.08 -1.12819 (49*2π)/196540 weeks
50-.43325 -.99247 (50*2π)/196539 weeks
51-.55919 -.39354 (51*2π)/196539 weeks
52-.03829 -.11584 (52*2π)/196538 weeks
53.03459 -.47742 (53*2π)/196537 weeks
54-.09655 -.42889 (54*2π)/196536 weeks
55-.28455 -.36104 (55*2π)/196536 weeks
56-.13264 -.09609 (56*2π)/196535 weeks
57-.17185 -.24748 (57*2π)/196534 weeks
58-.15698 .03123 (58*2π)/196534 weeks
59-.05504 .06395 (59*2π)/196533 weeks
60.39106 .26744 (60*2π)/196533 weeks
61.73971 -.23957 (61*2π)/196532 weeks
62.59706 -.76488 (62*2π)/196532 weeks
63.07916 -.9851 (63*2π)/196531 weeks
64-.26144 -.44732 (64*2π)/196531 weeks
65-.11895 -.23023 (65*2π)/196530 weeks
66.24684 -.33235 (66*2π)/196530 weeks
67-.0321 -.61662 (67*2π)/196529 weeks
68-.07628 -.39411 (68*2π)/196529 weeks
69.06335 -.36741 (69*2π)/196528 weeks
70.14655 -.63625 (70*2π)/196528 weeks
71-.28226 -.65095 (71*2π)/196528 weeks
72-.3517 -.30347 (72*2π)/196527 weeks
73-.0572 -.23882 (73*2π)/196527 weeks
74-.02438 -.26034 (74*2π)/196527 weeks
75-.0778 -.45825 (75*2π)/196526 weeks
76-.13389 -.31124 (76*2π)/196526 weeks
77-.15834 -.29886 (77*2π)/196526 weeks
78-.04125 -.17608 (78*2π)/196525 weeks
79-.00176 -.54766 (79*2π)/196525 weeks
80-.54757 -.41834 (80*2π)/196525 weeks
81-.43395 .01285 (81*2π)/196524 weeks
82.06649 .08948 (82*2π)/196524 weeks
83-.03662 -.32881 (83*2π)/196524 weeks
84-.29515 -.21162 (84*2π)/196523 weeks
85-.10472 .06857 (85*2π)/196523 weeks
86.19038 -.15646 (86*2π)/196523 weeks
87-.08073 -.45716 (87*2π)/196523 weeks
88-.2826 -.12471 (88*2π)/196522 weeks
89-.11029 -.09761 (89*2π)/196522 weeks
90-.09201 -.21058 (90*2π)/196522 weeks
91-.28388 .03187 (91*2π)/196522 weeks
92-.01449 .131 (92*2π)/196521 weeks
93.11783 .18607 (93*2π)/196521 weeks
94.45038 -.0024 (94*2π)/196521 weeks
95.46439 -.55185 (95*2π)/196521 weeks
96-.15023 -.67815 (96*2π)/196520 weeks
97-.27641 -.17487 (97*2π)/196520 weeks
98.07899 -.03948 (98*2π)/196520 weeks
99.20411 -.35866 (99*2π)/196520 weeks
100-.1693 -.41825 (100*2π)/196520 weeks
101-.20693 .02359 (101*2π)/196519 weeks
102.17282 -.04104 (102*2π)/196519 weeks
103.17899 -.19904 (103*2π)/196519 weeks
104.09433 -.40499 (104*2π)/196519 weeks
105-.18146 -.36171 (105*2π)/196519 weeks
106-.29201 -.15912 (106*2π)/196519 weeks
107-.10794 .11167 (107*2π)/196518 weeks
108.23872 -.09689 (108*2π)/196518 weeks
109-.02827 -.46643 (109*2π)/196518 weeks
110-.25719 -.18857 (110*2π)/196518 weeks
111-.14308 -.07764 (111*2π)/196518 weeks
112-.03989 -.06244 (112*2π)/196518 weeks
113.13346 -.17535 (113*2π)/196517 weeks
114-.10001 -.23579 (114*2π)/196517 weeks
115-.06361 -.05196 (115*2π)/196517 weeks
116.03575 -.01692 (116*2π)/196517 weeks
117.29768 -.13372 (117*2π)/196517 weeks
118.13767 -.57752 (118*2π)/196517 weeks
119-.36551 -.45331 (119*2π)/196517 weeks
120-.46152 -.04858 (120*2π)/196516 weeks
121-.17736 .31295 (121*2π)/196516 weeks
122.27623 .18575 (122*2π)/196516 weeks
123.34002 -.20558 (123*2π)/196516 weeks
124.00837 -.41355 (124*2π)/196516 weeks
125-.19811 -.1836 (125*2π)/196516 weeks
126.00685 -.00656 (126*2π)/196516 weeks
127.05616 -.3389 (127*2π)/196515 weeks
128-.30194 -.14408 (128*2π)/196515 weeks
129-.03353 .18143 (129*2π)/196515 weeks
130.26443 -.04717 (130*2π)/196515 weeks
131.18475 -.26073 (131*2π)/196515 weeks
132.10905 -.277 (132*2π)/196515 weeks
133.02087 -.36037 (133*2π)/196515 weeks
134-.12724 -.32075 (134*2π)/196515 weeks
135-.19173 -.03478 (135*2π)/196515 weeks
136.14663 -.02786 (136*2π)/196514 weeks
137.09194 -.24046 (137*2π)/196514 weeks
138.02936 -.25092 (138*2π)/196514 weeks
139.00178 -.23957 (139*2π)/196514 weeks
140-.03311 -.25009 (140*2π)/196514 weeks
141-.09027 -.25664 (141*2π)/196514 weeks
142-.19508 -.16681 (142*2π)/196514 weeks
143-.04713 .01741 (143*2π)/196514 weeks
144.13174 -.10131 (144*2π)/196514 weeks
145.07384 -.30423 (145*2π)/196514 weeks
146-.11038 -.26613 (146*2π)/196513 weeks
147-.12142 -.24041 (147*2π)/196513 weeks
148-.21474 -.1113 (148*2π)/196513 weeks
149-.05695 .05146 (149*2π)/196513 weeks
150.12451 -.1181 (150*2π)/196513 weeks
151-.01839 -.19397 (151*2π)/196513 weeks
152-.00781 -.12383 (152*2π)/196513 weeks
153-.00102 -.19763 (153*2π)/196513 weeks
154-.07236 -.1691 (154*2π)/196513 weeks
155-.09967 -.10889 (155*2π)/196513 weeks
156-.01383 -.06365 (156*2π)/196513 weeks
157.07282 -.10392 (157*2π)/196513 weeks
158.08333 -.20674 (158*2π)/196512 weeks
159-.0355 -.40041 (159*2π)/196512 weeks
160-.26582 -.20467 (160*2π)/196512 weeks
161-.0857 -.02905 (161*2π)/196512 weeks
162.10144 -.21589 (162*2π)/196512 weeks
163-.11917 -.42482 (163*2π)/196512 weeks
164-.3665 -.14988 (164*2π)/196512 weeks
165-.15448 .12769 (165*2π)/196512 weeks
166.10565 -.09179 (166*2π)/196512 weeks
167-.04374 -.20822 (167*2π)/196512 weeks
168-.15707 -.16088 (168*2π)/196512 weeks
169-.16224 -.10885 (169*2π)/196512 weeks
170-.1147 .07152 (170*2π)/196512 weeks
171.08185 -.06671 (171*2π)/196511 weeks
172-.03202 -.16112 (172*2π)/196511 weeks
173-.09119 -.14629 (173*2π)/196511 weeks
174-.1534 -.04881 (174*2π)/196511 weeks
175.0464 -.00422 (175*2π)/196511 weeks
176.09064 -.20959 (176*2π)/196511 weeks
177-.07522 -.22955 (177*2π)/196511 weeks
178-.11476 -.19129 (178*2π)/196511 weeks
179-.08236 -.13026 (179*2π)/196511 weeks
180-.07238 -.1946 (180*2π)/196511 weeks
181-.15546 -.18153 (181*2π)/196511 weeks
182-.10076 -.13248 (182*2π)/196511 weeks
183-.15139 -.13977 (183*2π)/196511 weeks
184-.18312 -.09325 (184*2π)/196511 weeks
185-.12095 .01724 (185*2π)/196511 weeks
186-.0564 -.0436 (186*2π)/196511 weeks
187-.13457 -.04096 (187*2π)/196511 weeks
188-.03885 .08336 (188*2π)/196510 weeks
189.08129 -.05736 (189*2π)/196510 weeks
190.0187 -.14218 (190*2π)/196510 weeks
191-.15353 -.17542 (191*2π)/196510 weeks
192-.03057 .0972 (192*2π)/196510 weeks
193.16116 -.14544 (193*2π)/196510 weeks
194-.06579 -.28903 (194*2π)/196510 weeks
195-.16878 -.17897 (195*2π)/196510 weeks
196-.17331 -.05098 (196*2π)/196510 weeks
197-.042 .03415 (197*2π)/196510 weeks
198.06901 -.10825 (198*2π)/196510 weeks
199-.01769 -.23469 (199*2π)/196510 weeks
200-.246 -.24592 (200*2π)/196510 weeks
201-.30551 .09017 (201*2π)/196510 weeks
202.02462 .16368 (202*2π)/196510 weeks
203.1103 -.09487 (203*2π)/196510 weeks
204-.10852 -.16651 (204*2π)/196510 weeks
205-.21413 -.02623 (205*2π)/196510 weeks
206-.08606 .16753 (206*2π)/196510 weeks
207.17535 .04808 (207*2π)/19659 weeks
208.0333 -.23058 (208*2π)/19659 weeks
209-.16953 -.1371 (209*2π)/19659 weeks
210-.204 .07417 (210*2π)/19659 weeks
211.06949 .11633 (211*2π)/19659 weeks
212.14001 -.06888 (212*2π)/19659 weeks
213-.03812 -.25177 (213*2π)/19659 weeks
214-.22275 -.06057 (214*2π)/19659 weeks
215-.06909 .15722 (215*2π)/19659 weeks
216.19045 .05767 (216*2π)/19659 weeks
217.17285 -.17941 (217*2π)/19659 weeks
218-.04919 -.21518 (218*2π)/19659 weeks
219-.06156 -.08272 (219*2π)/19659 weeks
220.00348 -.06304 (220*2π)/19659 weeks
221-.06059 -.13066 (221*2π)/19659 weeks
222-.08745 -.03405 (222*2π)/19659 weeks
223-.0338 .01512 (223*2π)/19659 weeks
224.09238 -.06551 (224*2π)/19659 weeks
225.06051 -.17567 (225*2π)/19659 weeks
226-.08298 -.22716 (226*2π)/19659 weeks
227-.14333 -.06104 (227*2π)/19659 weeks
228-.05816 -.09863 (228*2π)/19659 weeks
229-.11282 -.04807 (229*2π)/19659 weeks
230-.01977 -.02576 (230*2π)/19659 weeks
231-.09947 -.08007 (231*2π)/19659 weeks
232-.00066 .01453 (232*2π)/19658 weeks
233-.01825 -.1104 (233*2π)/19658 weeks
234-.07644 -.05609 (234*2π)/19658 weeks
235-.05645 -.04706 (235*2π)/19658 weeks
236-.07104 .02301 (236*2π)/19658 weeks
237.0437 .08021 (237*2π)/19658 weeks
238.13204 -.04599 (238*2π)/19658 weeks
239.13112 -.1085 (239*2π)/19658 weeks
240.05404 -.23194 (240*2π)/19658 weeks
241-.11052 -.19954 (241*2π)/19658 weeks
242-.11 -.12586 (242*2π)/19658 weeks
243-.15593 -.07585 (243*2π)/19658 weeks
244-.12295 .06445 (244*2π)/19658 weeks
245.08832 .06933 (245*2π)/19658 weeks
246.18672 -.15878 (246*2π)/19658 weeks
247-.06896 -.32153 (247*2π)/19658 weeks
248-.22874 -.14483 (248*2π)/19658 weeks
249-.13061 -.02778 (249*2π)/19658 weeks
250-.12834 -.00306 (250*2π)/19658 weeks
251-.11501 -.03015 (251*2π)/19658 weeks
252-.0775 .09604 (252*2π)/19658 weeks
253.05967 -.00479 (253*2π)/19658 weeks
254-.04648 -.11783 (254*2π)/19658 weeks
255-.18475 .01174 (255*2π)/19658 weeks
256-.00672 .1773 (256*2π)/19658 weeks
257.18633 .02107 (257*2π)/19658 weeks
258.08507 -.17324 (258*2π)/19658 weeks
259-.05287 -.15674 (259*2π)/19658 weeks
260-.09028 .00213 (260*2π)/19658 weeks
261.0435 .03116 (261*2π)/19658 weeks
262.14382 -.12847 (262*2π)/19658 weeks
263-.01137 -.27911 (263*2π)/19657 weeks
264-.24363 -.14419 (264*2π)/19657 weeks
265-.19043 .10633 (265*2π)/19657 weeks
266.10256 .14355 (266*2π)/19657 weeks
267.12761 -.14831 (267*2π)/19657 weeks
268-.07338 -.17695 (268*2π)/19657 weeks
269-.09679 -.08238 (269*2π)/19657 weeks
270-.09435 -.03238 (270*2π)/19657 weeks
271-.07015 .01893 (271*2π)/19657 weeks
272-.01353 .02868 (272*2π)/19657 weeks
273.07079 .04846 (273*2π)/19657 weeks
274.15408 -.04998 (274*2π)/19657 weeks
275.14351 -.17761 (275*2π)/19657 weeks
276-.05856 -.27547 (276*2π)/19657 weeks
277-.17514 -.09591 (277*2π)/19657 weeks
278-.06027 .04708 (278*2π)/19657 weeks
279.08741 -.01379 (279*2π)/19657 weeks
280.07273 -.19864 (280*2π)/19657 weeks
281-.1159 -.21399 (281*2π)/19657 weeks
282-.16778 -.07967 (282*2π)/19657 weeks
283-.12631 -.03177 (283*2π)/19657 weeks
284-.09009 .03998 (284*2π)/19657 weeks
285-.02428 -.01594 (285*2π)/19657 weeks
286-.00955 .0265 (286*2π)/19657 weeks
287.01007 -.06486 (287*2π)/19657 weeks
288-.02509 -.02001 (288*2π)/19657 weeks
289.0394 .00167 (289*2π)/19657 weeks
290.00571 -.141 (290*2π)/19657 weeks
291-.11231 -.04036 (291*2π)/19657 weeks
292-.02918 .01729 (292*2π)/19657 weeks
293.02113 .06715 (293*2π)/19657 weeks
294.14336 .00174 (294*2π)/19657 weeks
295.12735 -.16152 (295*2π)/19657 weeks
296.00223 -.20737 (296*2π)/19657 weeks
297-.09154 -.1189 (297*2π)/19657 weeks
298-.01716 -.07847 (298*2π)/19657 weeks
299-.05366 -.1429 (299*2π)/19657 weeks
300-.11436 -.04239 (300*2π)/19657 weeks
301-.06473 -.00009 (301*2π)/19657 weeks
302.0086 .03472 (302*2π)/19657 weeks
303.06416 -.06777 (303*2π)/19656 weeks
304-.02445 -.15283 (304*2π)/19656 weeks
305-.12855 -.10792 (305*2π)/19656 weeks
306-.11619 .05997 (306*2π)/19656 weeks
307.05498 .05312 (307*2π)/19656 weeks
308.08713 -.0856 (308*2π)/19656 weeks
309-.00516 -.15296 (309*2π)/19656 weeks
310-.10177 -.08348 (310*2π)/19656 weeks
311-.05706 .02781 (311*2π)/19656 weeks
312.1234 .00148 (312*2π)/19656 weeks
313.06964 -.19099 (313*2π)/19656 weeks
314-.09637 -.21566 (314*2π)/19656 weeks
315-.12161 -.04328 (315*2π)/19656 weeks
316-.01221 .00333 (316*2π)/19656 weeks
317.04877 -.10615 (317*2π)/19656 weeks
318-.07083 -.15528 (318*2π)/19656 weeks
319-.11038 -.08322 (319*2π)/19656 weeks
320-.10239 .02246 (320*2π)/19656 weeks
321.021 .01549 (321*2π)/19656 weeks
322.06655 -.07314 (322*2π)/19656 weeks
323-.01526 -.13781 (323*2π)/19656 weeks
324-.12962 -.07505 (324*2π)/19656 weeks
325-.00258 -.00061 (325*2π)/19656 weeks
326.0325 -.12995 (326*2π)/19656 weeks
327-.0639 -.16487 (327*2π)/19656 weeks
328-.13684 -.10511 (328*2π)/19656 weeks
329-.1112 -.02786 (329*2π)/19656 weeks
330-.0688 .01005 (330*2π)/19656 weeks
331-.0146 -.0367 (331*2π)/19656 weeks
332-.07182 -.10209 (332*2π)/19656 weeks
333-.13828 -.03917 (333*2π)/19656 weeks
334-.11615 .03409 (334*2π)/19656 weeks
335-.02545 .05448 (335*2π)/19656 weeks
336.0436 .00498 (336*2π)/19656 weeks
337-.00479 -.09411 (337*2π)/19656 weeks
338-.04035 -.02783 (338*2π)/19656 weeks
339-.01168 -.09162 (339*2π)/19656 weeks
340-.11693 -.13025 (340*2π)/19656 weeks
341-.20205 .04518 (341*2π)/19656 weeks
342-.05511 .16306 (342*2π)/19656 weeks
343.12047 .07575 (343*2π)/19656 weeks
344.07488 -.05682 (344*2π)/19656 weeks
345.00354 -.06465 (345*2π)/19656 weeks
346-.01599 -.01143 (346*2π)/19656 weeks
347.07315 .00336 (347*2π)/19656 weeks
348.05262 -.12991 (348*2π)/19656 weeks
349-.02101 -.08919 (349*2π)/19656 weeks
350-.01835 -.08415 (350*2π)/19656 weeks
351-.03714 -.03369 (351*2π)/19656 weeks
352.06196 -.05736 (352*2π)/19656 weeks
353-.01974 -.18652 (353*2π)/19656 weeks
354-.1503 -.07758 (354*2π)/19656 weeks
355-.08303 .0587 (355*2π)/19656 week