Back to list of Stocks    See Also: Seasonal Analysis of APAGenetic Algorithms Stock Portfolio Generator, and Fourier Calculator

# Fourier Analysis of APA (Apache Corporation Common Stock)

APA (Apache Corporation Common Stock) appears to have interesting cyclic behaviour every 141 weeks (3.9946*sine), 152 weeks (3.7186*cosine), and 164 weeks (2.5345*cosine).

APA (Apache Corporation Common Stock) has an average price of 31.28 (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.

## Fourier Analysis

Using data from 5/15/1979 to 2/13/2017 for APA (Apache Corporation Common Stock), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
031.28395   0
114.07897 -37.73311 (1*2π)/19701,970 weeks
2-9.7474 -17.7513 (2*2π)/1970985 weeks
3-5.68797 -2.05006 (3*2π)/1970657 weeks
4-.79122 -2.25364 (4*2π)/1970493 weeks
5-1.01581 -2.71075 (5*2π)/1970394 weeks
6-.96007 -1.2007 (6*2π)/1970328 weeks
7.46631 -1.28554 (7*2π)/1970281 weeks
8-.40104 -1.77747 (8*2π)/1970246 weeks
9-.45373 -1.30586 (9*2π)/1970219 weeks
10-1.63995 -1.51132 (10*2π)/1970197 weeks
11-.80036 2.25569 (11*2π)/1970179 weeks
122.53446 1.1679 (12*2π)/1970164 weeks
133.71863 -1.77922 (13*2π)/1970152 weeks
141.08693 -3.99458 (14*2π)/1970141 weeks
15-1.10272 -1.33335 (15*2π)/1970131 weeks
161.16326 -.31253 (16*2π)/1970123 weeks
171.72014 -2.11453 (17*2π)/1970116 weeks
18.06281 -2.95954 (18*2π)/1970109 weeks
19-1.0952 -1.19049 (19*2π)/1970104 weeks
20-.07608 -.09867 (20*2π)/197099 weeks
211.11321 -1.23244 (21*2π)/197094 weeks
22-.05523 -2.27962 (22*2π)/197090 weeks
23-1.36729 -1.37926 (23*2π)/197086 weeks
24-1.09199 .05057 (24*2π)/197082 weeks
25.5906 .86087 (25*2π)/197079 weeks
261.68631 -1.27993 (26*2π)/197076 weeks
27-.14672 -2.24243 (27*2π)/197073 weeks
28-1.19712 -1.26475 (28*2π)/197070 weeks
29-1.05066 .318 (29*2π)/197068 weeks
30.79021 .44154 (30*2π)/197066 weeks
31.83682 -.90868 (31*2π)/197064 weeks
32.1914 -1.3891 (32*2π)/197062 weeks
33-.3897 -1.10733 (33*2π)/197060 weeks
34-.34521 -.71307 (34*2π)/197058 weeks
35-.36344 -.7847 (35*2π)/197056 weeks
36-.72991 -.61136 (36*2π)/197055 weeks
37-.53299 -.01704 (37*2π)/197053 weeks
38.08869 .31835 (38*2π)/197052 weeks
39.31215 -.6643 (39*2π)/197051 weeks
40-.202 -.59871 (40*2π)/197049 weeks
41-.54251 -.28857 (41*2π)/197048 weeks
42-.29515 .43632 (42*2π)/197047 weeks
431.05792 .17357 (43*2π)/197046 weeks
44.61825 -.75892 (44*2π)/197045 weeks
45.47105 -.88878 (45*2π)/197044 weeks
46.16497 -.84075 (46*2π)/197043 weeks
47.22063 -.73094 (47*2π)/197042 weeks
48.0318 -1.06003 (48*2π)/197041 weeks
49-.4184 -1.01934 (49*2π)/197040 weeks
50-.72919 -.59435 (50*2π)/197039 weeks
51-.46838 -.02993 (51*2π)/197039 weeks
52.11889 -.09674 (52*2π)/197038 weeks
53-.03152 -.46644 (53*2π)/197037 weeks
54-.13851 -.3207 (54*2π)/197036 weeks
55-.23415 -.17756 (55*2π)/197036 weeks
56.03661 -.04729 (56*2π)/197035 weeks
57-.05961 -.19216 (57*2π)/197035 weeks
58.10349 .01023 (58*2π)/197034 weeks
59.21967 -.09694 (59*2π)/197033 weeks
60.62474 -.22609 (60*2π)/197033 weeks
61.51116 -.84716 (61*2π)/197032 weeks
62.01852 -1.08128 (62*2π)/197032 weeks
63-.48518 -.83194 (63*2π)/197031 weeks
64-.38646 -.17261 (64*2π)/197031 weeks
65-.10438 -.17205 (65*2π)/197030 weeks
66.08624 -.47745 (66*2π)/197030 weeks
67-.32055 -.51823 (67*2π)/197029 weeks
68-.19076 -.29001 (68*2π)/197029 weeks
69-.08264 -.37159 (69*2π)/197029 weeks
70-.20383 -.57516 (70*2π)/197028 weeks
71-.51083 -.27192 (71*2π)/197028 weeks
72-.27155 .00706 (72*2π)/197027 weeks
73-.00175 -.16964 (73*2π)/197027 weeks
74-.05354 -.21614 (74*2π)/197027 weeks
75-.21217 -.31451 (75*2π)/197026 weeks
76-.15055 -.13738 (76*2π)/197026 weeks
77-.14997 -.13474 (77*2π)/197026 weeks
78-.01912 -.13192 (78*2π)/197025 weeks
79-.24231 -.37738 (79*2π)/197025 weeks
80-.47415 .1059 (80*2π)/197025 weeks
81-.00484 .24036 (81*2π)/197024 weeks
82.32028 -.10717 (82*2π)/197024 weeks
83-.10667 -.30992 (83*2π)/197024 weeks
84-.14888 -.02327 (84*2π)/197023 weeks
85.17972 -.02042 (85*2π)/197023 weeks
86.14339 -.37918 (86*2π)/197023 weeks
87-.24932 -.30991 (87*2π)/197023 weeks
88-.08859 .06489 (88*2π)/197022 weeks
89.06356 -.10647 (89*2π)/197022 weeks
90-.00012 -.17727 (90*2π)/197022 weeks
91.06158 .07826 (91*2π)/197022 weeks
92.30149 -.14135 (92*2π)/197021 weeks
93.31754 -.26022 (93*2π)/197021 weeks
94.25877 -.60927 (94*2π)/197021 weeks
95-.20482 -.79041 (95*2π)/197021 weeks
96-.55732 -.26731 (96*2π)/197021 weeks
97-.10963 .08236 (97*2π)/197020 weeks
98.16552 -.20485 (98*2π)/197020 weeks
99-.07534 -.43374 (99*2π)/197020 weeks
100-.28356 -.11367 (100*2π)/197020 weeks
101.08364 .0934 (101*2π)/197020 weeks
102.1826 -.30983 (102*2π)/197019 weeks
103-.03819 -.34101 (103*2π)/197019 weeks
104-.2323 -.30437 (104*2π)/197019 weeks
105-.27204 -.02408 (105*2π)/197019 weeks
106-.08487 .09555 (106*2π)/197019 weeks
107.19023 -.01589 (107*2π)/197018 weeks
108.08774 -.39646 (108*2π)/197018 weeks
109-.33934 -.26838 (109*2π)/197018 weeks
110-.12503 .07201 (110*2π)/197018 weeks
111.04486 -.06317 (111*2π)/197018 weeks
112.06644 -.1775 (112*2π)/197018 weeks
113.02288 -.32114 (113*2π)/197017 weeks
114-.13688 -.12146 (114*2π)/197017 weeks
115.06277 -.09865 (115*2π)/197017 weeks
116.07272 -.21685 (116*2π)/197017 weeks
117.00523 -.42208 (117*2π)/197017 weeks
118-.41373 -.33096 (118*2π)/197017 weeks
119-.34497 .19691 (119*2π)/197017 weeks
120.08978 .27414 (120*2π)/197016 weeks
121.42034 -.00559 (121*2π)/197016 weeks
122.28757 -.46812 (122*2π)/197016 weeks
123-.13769 -.51301 (123*2π)/197016 weeks
124-.36063 -.18473 (124*2π)/197016 weeks
125-.11955 .04403 (125*2π)/197016 weeks
126.08211 -.14168 (126*2π)/197016 weeks
127-.193 -.27457 (127*2π)/197016 weeks
128-.08004 .09784 (128*2π)/197015 weeks
129.26003 -.15342 (129*2π)/197015 weeks
130.01633 -.47515 (130*2π)/197015 weeks
131-.22453 -.34356 (131*2π)/197015 weeks
132-.21384 -.20408 (132*2π)/197015 weeks
133-.2519 -.12809 (133*2π)/197015 weeks
134-.16905 .0041 (134*2π)/197015 weeks
135.0649 .04792 (135*2π)/197015 weeks
136.08281 -.29024 (136*2π)/197014 weeks
137-.18788 -.22484 (137*2π)/197014 weeks
138-.16262 -.12123 (138*2π)/197014 weeks
139-.13331 -.08267 (139*2π)/197014 weeks
140-.13125 -.05308 (140*2π)/197014 weeks
141-.11256 -.01361 (141*2π)/197014 weeks
142-.02699 .04001 (142*2π)/197014 weeks
143.12463 -.10764 (143*2π)/197014 weeks
144-.04285 -.26138 (144*2π)/197014 weeks
145-.22395 -.15287 (145*2π)/197014 weeks
146-.15168 .04377 (146*2π)/197013 weeks
147-.06184 .00581 (147*2π)/197013 weeks
148.04267 .04939 (148*2π)/197013 weeks
149.1466 -.12781 (149*2π)/197013 weeks
150-.05269 -.27319 (150*2π)/197013 weeks
151-.13623 -.08015 (151*2π)/197013 weeks
152-.04286 -.08008 (152*2π)/197013 weeks
153-.10651 -.09357 (153*2π)/197013 weeks
154-.06596 -.019 (154*2π)/197013 weeks
155-.01758 -.0334 (155*2π)/197013 weeks
156-.00102 -.12731 (156*2π)/197013 weeks
157-.07911 -.16802 (157*2π)/197013 weeks
158-.18251 -.11433 (158*2π)/197012 weeks
159-.26499 .00887 (159*2π)/197012 weeks
160-.01879 .17329 (160*2π)/197012 weeks
161.10151 -.07902 (161*2π)/197012 weeks
162-.11547 -.18779 (162*2π)/197012 weeks
163-.20934 .07769 (163*2π)/197012 weeks
164.12665 .21039 (164*2π)/197012 weeks
165.26888 -.10683 (165*2π)/197012 weeks
166-.0388 -.2887 (166*2π)/197012 weeks
167-.11516 -.03307 (167*2π)/197012 weeks
168-.00806 .03198 (168*2π)/197012 weeks
169.05974 -.03674 (169*2π)/197012 weeks
170.14234 -.10487 (170*2π)/197012 weeks
171-.05316 -.24812 (171*2π)/197012 weeks
172-.11595 -.05766 (172*2π)/197011 weeks
173-.04161 -.02921 (173*2π)/197011 weeks
174.0288 -.039 (174*2π)/197011 weeks
175.0051 -.21884 (175*2π)/197011 weeks
176-.18771 -.14796 (176*2π)/197011 weeks
177-.11599 .04257 (177*2π)/197011 weeks
178-.02772 .00921 (178*2π)/197011 weeks
179.01868 -.04402 (179*2π)/197011 weeks
180-.04033 -.04619 (180*2π)/197011 weeks
181.01003 .00909 (181*2π)/197011 weeks
182.06577 -.06767 (182*2π)/197011 weeks
183.04944 -.02962 (183*2π)/197011 weeks
184.09691 -.05656 (184*2π)/197011 weeks
185.13642 -.14111 (185*2π)/197011 weeks
186.02115 -.17136 (186*2π)/197011 weeks
187.02786 -.10249 (187*2π)/197011 weeks
188.07318 -.20783 (188*2π)/197010 weeks
189-.1147 -.22665 (189*2π)/197010 weeks
190-.11825 -.07598 (190*2π)/197010 weeks
191-.05385 .0071 (191*2π)/197010 weeks
192.1207 -.17374 (192*2π)/197010 weeks
193-.19234 -.20886 (193*2π)/197010 weeks
194-.14848 .08036 (194*2π)/197010 weeks
195.06582 .03888 (195*2π)/197010 weeks
196.12441 -.07211 (196*2π)/197010 weeks
197.07026 -.1945 (197*2π)/197010 weeks
198-.10244 -.1673 (198*2π)/197010 weeks
199-.08784 .00257 (199*2π)/197010 weeks
200.06063 .09187 (200*2π)/197010 weeks
201.29054 -.09149 (201*2π)/197010 weeks
202.0777 -.37056 (202*2π)/197010 weeks
203-.17688 -.19562 (203*2π)/197010 weeks
204-.05415 .03038 (204*2π)/197010 weeks
205.11067 -.05945 (205*2π)/197010 weeks
206.10259 -.25747 (206*2π)/197010 weeks
207-.15516 -.30003 (207*2π)/197010 weeks
208-.23245 .00323 (208*2π)/19709 weeks
209.04166 .04249 (209*2π)/19709 weeks
210.12436 -.12889 (210*2π)/19709 weeks
211-.05025 -.32571 (211*2π)/19709 weeks
212-.21845 -.14859 (212*2π)/19709 weeks
213-.15856 .04909 (213*2π)/19709 weeks
214.10924 -.0115 (214*2π)/19709 weeks
215.07114 -.27182 (215*2π)/19709 weeks
216-.19733 -.28997 (216*2π)/19709 weeks
217-.26744 -.03277 (217*2π)/19709 weeks
218-.07675 .10969 (218*2π)/19709 weeks
219.04498 -.03899 (219*2π)/19709 weeks
220-.02094 -.08995 (220*2π)/19709 weeks
221-.05268 -.01902 (221*2π)/19709 weeks
222.02882 -.07565 (222*2π)/19709 weeks
223-.03748 -.13329 (223*2π)/19709 weeks
224-.14682 -.12971 (224*2π)/19709 weeks
225-.12612 .00982 (225*2π)/19709 weeks
226-.01786 .07185 (226*2π)/19709 weeks
227.11154 -.04069 (227*2π)/19709 weeks
228-.01683 -.12445 (228*2π)/19709 weeks
229.03016 -.08482 (229*2π)/19709 weeks
230-.02165 -.1542 (230*2π)/19709 weeks
231-.04608 -.06233 (231*2π)/19709 weeks
232-.01276 -.1676 (232*2π)/19708 weeks
233-.1052 -.06151 (233*2π)/19708 weeks
234.0022 -.07025 (234*2π)/19708 weeks
235-.02919 -.12139 (235*2π)/19708 weeks
236-.01749 -.13315 (236*2π)/19708 weeks
237-.09754 -.18166 (237*2π)/19708 weeks
238-.21057 -.08066 (238*2π)/19708 weeks
239-.13941 .02334 (239*2π)/19708 weeks
240-.0871 .1075 (240*2π)/19708 weeks
241.06897 .08982 (241*2π)/19708 weeks
242.08165 -.05857 (242*2π)/19708 weeks
243.06462 -.08787 (243*2π)/19708 weeks
244.03202 -.18005 (244*2π)/19708 weeks
245-.14374 -.19928 (245*2π)/19708 weeks
246-.21782 .00769 (246*2π)/19708 weeks
247-.00433 .18775 (247*2π)/19708 weeks
248.19902 -.01843 (248*2π)/19708 weeks
249.08762 -.19942 (249*2π)/19708 weeks
250.01201 -.14806 (250*2π)/19708 weeks
251-.04357 -.15107 (251*2π)/19708 weeks
252-.02131 -.19103 (252*2π)/19708 weeks
253-.17288 -.13708 (253*2π)/19708 weeks
254-.08348 .00181 (254*2π)/19708 weeks
255.03976 -.09296 (255*2π)/19708 weeks
256-.0994 -.25541 (256*2π)/19708 weeks
257-.28678 -.09041 (257*2π)/19708 weeks
258-.16116 .11825 (258*2π)/19708 weeks
259.02061 .0485 (259*2π)/19708 weeks
260.04508 -.08604 (260*2π)/19708 weeks
261-.11315 -.11535 (261*2π)/19708 weeks
262-.1678 .01482 (262*2π)/19708 weeks
263.00342 .12742 (263*2π)/19707 weeks
264.18611 -.01972 (264*2π)/19707 weeks
265.0617 -.25617 (265*2π)/19707 weeks
266-.2 -.22909 (266*2π)/19707 weeks
267-.23089 .0798 (267*2π)/19707 weeks
268.03185 .08521 (268*2π)/19707 weeks
269.04733 -.09074 (269*2π)/19707 weeks
270-.01183 -.11943 (270*2π)/19707 weeks
271-.06059 -.13037 (271*2π)/19707 weeks
272-.12277 -.11085 (272*2π)/19707 weeks
273-.14527 -.073 (273*2π)/19707 weeks
274-.16815 .03205 (274*2π)/19707 weeks
275-.06717 .11956 (275*2π)/19707 weeks
276.08686 .12952 (276*2π)/19707 weeks
277.15871 -.09455 (277*2π)/19707 weeks
278-.01739 -.18889 (278*2π)/19707 weeks
279-.14049 -.06124 (279*2π)/19707 weeks
280-.06669 .08377 (280*2π)/19707 weeks
281.11951 .03655 (281*2π)/19707 weeks
282.10469 -.14332 (282*2π)/19707 weeks
283-.01915 -.17334 (283*2π)/19707 weeks
284-.05831 -.15675 (284*2π)/19707 weeks
285-.13299 -.09391 (285*2π)/19707 weeks
286-.07571 -.07315 (286*2π)/19707 weeks
287-.11169 -.01402 (287*2π)/19707 weeks
288-.02901 -.04226 (288*2π)/19707 weeks
289-.07737 -.04641 (289*2π)/19707 weeks
290-.0683 .0442 (290*2π)/19707 weeks
291.04829 -.05793 (291*2π)/19707 weeks
292-.08629 -.12096 (292*2π)/19707 weeks
293-.10769 -.05338 (293*2π)/19707 weeks
294-.15557 .03367 (294*2π)/19707 weeks
295-.05365 .13974 (295*2π)/19707 weeks
296.09546 .07436 (296*2π)/19707 weeks
297.11168 -.05471 (297*2π)/19707 weeks
298-.00154 -.10335 (298*2π)/19707 weeks
299.00975 -.03342 (299*2π)/19707 weeks
300.04864 -.11154 (300*2π)/19707 weeks
301-.06296 -.1138 (301*2π)/19707 weeks
302-.09099 -.06562 (302*2π)/19707 weeks
303-.09272 .0337 (303*2π)/19707 weeks
304.02164 .04177 (304*2π)/19706 weeks
305.05725 -.07475 (305*2π)/19706 weeks
306-.02865 -.16136 (306*2π)/19706 weeks
307-.17498 -.0618 (307*2π)/19706 weeks
308-.09167 .07989 (308*2π)/19706 weeks
309.04006 .04573 (309*2π)/19706 weeks
310.05978 -.06655 (310*2π)/19706 weeks
311-.04959 -.11408 (311*2π)/19706 weeks
312-.12971 -.01736 (312*2π)/19706 weeks
313.00683 .12424 (313*2π)/19706 weeks
314.12901 -.01806 (314*2π)/19706 weeks
315.0579 -.18222 (315*2π)/19706 weeks
316-.08206 -.10824 (316*2π)/19706 weeks
317-.06003 .00838 (317*2π)/19706 weeks
318.06597 -.01205 (318*2π)/19706 weeks
319.02899 -.13161 (319*2π)/19706 weeks
320-.04363 -.13263 (320*2π)/19706 weeks
321-.13006 -.05225 (321*2π)/19706 weeks
322-.05267 .03496 (322*2π)/19706 weeks
323.05193 .01895 (323*2π)/19706 weeks
324.05412 -.07906 (324*2π)/19706 weeks
325-.08251 -.11564 (325*2π)/19706 weeks
326-.04141 .02045 (326*2π)/19706 weeks
327.07199 -.04623 (327*2π)/19706 weeks
328.03924 -.14005 (328*2π)/19706 weeks
329-.05335 -.15713 (329*2π)/19706 weeks
330-.08928 -.09311 (330*2π)/19706 weeks
331-.0897 -.02876 (331*2π)/19706 weeks
332-.0186 -.02387 (332*2π)/19706 weeks
333-.02016 -.11219 (333*2π)/19706 weeks
334-.11102 -.11044 (334*2π)/19706 weeks
335-.1523 -.04275 (335*2π)/19706 weeks
336-.10169 .03257 (336*2π)/19706 weeks
337-.01191 .04668 (337*2π)/19706 weeks
338.00868 -.06022 (338*2π)/19706 weeks
339-.04654 -.02167 (339*2π)/19706 weeks
340.01446 -.06436 (340*2π)/19706 weeks
341-.04919 -.16983 (341*2π)/19706 weeks
342-.22494 -.07534 (342*2π)/19706 weeks
343-.18504 .10815 (343*2π)/19706 weeks
344.00901 .141 (344*2π)/19706 weeks
345.04802 .01835 (345*2π)/19706 weeks
346-.00049 -.02771 (346*2π)/19706 weeks
347-.04546 .00771 (347*2π)/19706 weeks
348.02982 .06896 (348*2π)/19706 weeks
349.07572 -.05802 (349*2π)/19706 weeks
350.00161 -.05923 (350*2π)/19706 weeks
351-.00033 -.06135 (351*2π)/19706 weeks
352-.04236 -.02064 (352*2π)/19706 weeks
353.06206 .00118 (353*2π)/19706 weeks
354.04563 -.15556 (354*2π)/19706 weeks
355-.11894 -.11957 (355*2π)/19706 weeks
356-.12531 .03074 (356*2π)/19706 weeks
357.02774 .11663 (357*2π)/19706 weeks
358.12348 -.03738 (358*2π)/19706 weeks
359.00504 -.15489 (359*2π)/19705 weeks
360-.0753