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Fourier Analysis of HP (Helmerich & Payne, Inc. Common )


HP (Helmerich & Payne, Inc. Common ) appears to have interesting cyclic behaviour every 146 weeks (3.2379*cosine), 135 weeks (2.9671*sine), and 158 weeks (2.3524*cosine).

HP (Helmerich & Payne, Inc. Common ) has an average price of 18.5 (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 10/15/1980 to 1/17/2017 for HP (Helmerich & Payne, Inc. Common ), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
018.49628   0 
114.04035 -17.9813 (1*2π)/18921,892 weeks
23.08362 -12.91714 (2*2π)/1892946 weeks
3.44886 -8.20074 (3*2π)/1892631 weeks
4.56121 -6.89565 (4*2π)/1892473 weeks
5-1.72752 -5.43566 (5*2π)/1892378 weeks
6-2.04591 -2.93609 (6*2π)/1892315 weeks
7-.69403 -1.8532 (7*2π)/1892270 weeks
8-1.19724 -1.97762 (8*2π)/1892237 weeks
9-.84744 -.36562 (9*2π)/1892210 weeks
10-.83227 -.07177 (10*2π)/1892189 weeks
11.95277 1.18407 (11*2π)/1892172 weeks
122.35236 .64139 (12*2π)/1892158 weeks
133.23792 -1.39737 (13*2π)/1892146 weeks
141.09385 -2.96709 (14*2π)/1892135 weeks
15.50604 -1.5323 (15*2π)/1892126 weeks
161.20484 -1.72411 (16*2π)/1892118 weeks
17.53168 -2.6339 (17*2π)/1892111 weeks
18-.7913 -1.92765 (18*2π)/1892105 weeks
19-.53268 -.97805 (19*2π)/1892100 weeks
20.29898 -.90802 (20*2π)/189295 weeks
21.02656 -1.80116 (21*2π)/189290 weeks
22-.87456 -1.24369 (22*2π)/189286 weeks
23-.79035 -.47793 (23*2π)/189282 weeks
24-.22846 .5384 (24*2π)/189279 weeks
251.21119 -.18084 (25*2π)/189276 weeks
26.95234 -1.18899 (26*2π)/189273 weeks
27.21139 -1.48225 (27*2π)/189270 weeks
28-.11948 -.675 (28*2π)/189268 weeks
29.70425 -.49732 (29*2π)/189265 weeks
30.89266 -1.66609 (30*2π)/189263 weeks
31-.45917 -2.02668 (31*2π)/189261 weeks
32-.91069 -.97531 (32*2π)/189259 weeks
33-.56185 -.5106 (33*2π)/189257 weeks
34-.21074 -.66722 (34*2π)/189256 weeks
35-.88094 -.53621 (35*2π)/189254 weeks
36-.65311 .36067 (36*2π)/189253 weeks
37.50131 .29509 (37*2π)/189251 weeks
38.53052 -.47924 (38*2π)/189250 weeks
39.16853 -.68065 (39*2π)/189249 weeks
40-.43778 -.4184 (40*2π)/189247 weeks
41.07409 .34547 (41*2π)/189246 weeks
42.58333 -.13968 (42*2π)/189245 weeks
43.76204 -.35153 (43*2π)/189244 weeks
44.43191 -.82094 (44*2π)/189243 weeks
45.27806 -.58832 (45*2π)/189242 weeks
46.3743 -.80474 (46*2π)/189241 weeks
47.13815 -1.02439 (47*2π)/189240 weeks
48-.22357 -.89631 (48*2π)/189239 weeks
49-.42217 -.49253 (49*2π)/189239 weeks
50.08277 -.04849 (50*2π)/189238 weeks
51.26434 -.6677 (51*2π)/189237 weeks
52-.07371 -.66938 (52*2π)/189236 weeks
53-.35126 -.49131 (53*2π)/189236 weeks
54-.10399 -.14941 (54*2π)/189235 weeks
55-.00251 -.14218 (55*2π)/189234 weeks
56.17876 -.17406 (56*2π)/189234 weeks
57.16596 -.37947 (57*2π)/189233 weeks
58.0693 -.32024 (58*2π)/189233 weeks
59.25671 -.26385 (59*2π)/189232 weeks
60.24785 -.53681 (60*2π)/189232 weeks
61-.00977 -.51837 (61*2π)/189231 weeks
62-.0385 -.40252 (62*2π)/189231 weeks
63.16015 -.12305 (63*2π)/189230 weeks
64.48684 -.42895 (64*2π)/189230 weeks
65.15488 -.62988 (65*2π)/189229 weeks
66.18976 -.50241 (66*2π)/189229 weeks
67.15775 -.66028 (67*2π)/189228 weeks
68-.04132 -.721 (68*2π)/189228 weeks
69-.22023 -.63792 (69*2π)/189227 weeks
70-.28284 -.40351 (70*2π)/189227 weeks
71-.12995 -.17862 (71*2π)/189227 weeks
72.0382 -.39921 (72*2π)/189226 weeks
73.04683 -.42126 (73*2π)/189226 weeks
74-.13515 -.53478 (74*2π)/189226 weeks
75-.14623 -.24657 (75*2π)/189225 weeks
76-.1099 -.42517 (76*2π)/189225 weeks
77-.22915 -.27006 (77*2π)/189225 weeks
78-.14824 -.16505 (78*2π)/189224 weeks
79.07859 -.10764 (79*2π)/189224 weeks
80.04355 -.32745 (80*2π)/189224 weeks
81.02658 -.26502 (81*2π)/189223 weeks
82.00437 -.33504 (82*2π)/189223 weeks
83-.04685 -.29643 (83*2π)/189223 weeks
84-.02348 -.21433 (84*2π)/189223 weeks
85.12768 -.27862 (85*2π)/189222 weeks
86.00851 -.35356 (86*2π)/189222 weeks
87-.05732 -.30797 (87*2π)/189222 weeks
88.02842 -.19899 (88*2π)/189222 weeks
89.11598 -.3527 (89*2π)/189221 weeks
90.0264 -.33025 (90*2π)/189221 weeks
91.09754 -.29556 (91*2π)/189221 weeks
92.13502 -.39214 (92*2π)/189221 weeks
93.04304 -.48959 (93*2π)/189220 weeks
94-.07209 -.49191 (94*2π)/189220 weeks
95-.16977 -.45507 (95*2π)/189220 weeks
96-.27152 -.339 (96*2π)/189220 weeks
97-.2326 -.07939 (97*2π)/189220 weeks
98.1358 -.099 (98*2π)/189219 weeks
99.0767 -.36051 (99*2π)/189219 weeks
100-.00676 -.44154 (100*2π)/189219 weeks
101-.20468 -.42437 (101*2π)/189219 weeks
102-.23411 -.26961 (102*2π)/189219 weeks
103-.17709 -.15852 (103*2π)/189218 weeks
104-.0283 -.19684 (104*2π)/189218 weeks
105-.10935 -.341 (105*2π)/189218 weeks
106-.20978 -.32728 (106*2π)/189218 weeks
107-.29025 -.17244 (107*2π)/189218 weeks
108-.18623 -.09149 (108*2π)/189218 weeks
109-.12876 -.11947 (109*2π)/189217 weeks
110-.10734 -.03397 (110*2π)/189217 weeks
111.04174 -.03468 (111*2π)/189217 weeks
112.09854 -.14922 (112*2π)/189217 weeks
113.08558 -.26307 (113*2π)/189217 weeks
114-.0488 -.32548 (114*2π)/189217 weeks
115-.12511 -.2434 (115*2π)/189216 weeks
116-.168 -.14803 (116*2π)/189216 weeks
117-.01047 -.06133 (117*2π)/189216 weeks
118.10073 -.23273 (118*2π)/189216 weeks
119-.05373 -.33933 (119*2π)/189216 weeks
120-.14958 -.21668 (120*2π)/189216 weeks
121-.09001 -.15506 (121*2π)/189216 weeks
122-.04445 -.13926 (122*2π)/189216 weeks
123-.07066 -.13542 (123*2π)/189215 weeks
124.01945 -.02401 (124*2π)/189215 weeks
125.14707 -.17514 (125*2π)/189215 weeks
126.03348 -.26559 (126*2π)/189215 weeks
127.03188 -.21595 (127*2π)/189215 weeks
128.03145 -.24936 (128*2π)/189215 weeks
129.04295 -.23646 (129*2π)/189215 weeks
130.01043 -.22824 (130*2π)/189215 weeks
131.07112 -.28936 (131*2π)/189214 weeks
132-.01079 -.35331 (132*2π)/189214 weeks
133-.09656 -.31914 (133*2π)/189214 weeks
134-.14267 -.25441 (134*2π)/189214 weeks
135-.05723 -.21109 (135*2π)/189214 weeks
136-.13869 -.26952 (136*2π)/189214 weeks
137-.15481 -.12921 (137*2π)/189214 weeks
138-.03492 -.07544 (138*2π)/189214 weeks
139.08786 -.21151 (139*2π)/189214 weeks
140-.03898 -.30002 (140*2π)/189214 weeks
141-.10635 -.234 (141*2π)/189213 weeks
142-.1435 -.1877 (142*2π)/189213 weeks
143-.04056 -.1117 (143*2π)/189213 weeks
144-.00002 -.18339 (144*2π)/189213 weeks
145-.04454 -.22775 (145*2π)/189213 weeks
146-.07497 -.22501 (146*2π)/189213 weeks
147-.1067 -.19212 (147*2π)/189213 weeks
148-.09718 -.12721 (148*2π)/189213 weeks
149-.09131 -.18274 (149*2π)/189213 weeks
150-.09063 -.11777 (150*2π)/189213 weeks
151-.01155 -.15256 (151*2π)/189213 weeks
152-.05415 -.18423 (152*2π)/189212 weeks
153-.11108 -.19971 (153*2π)/189212 weeks
154-.07321 -.09506 (154*2π)/189212 weeks
155.0551 -.16045 (155*2π)/189212 weeks
156-.01223 -.29111 (156*2π)/189212 weeks
157-.14702 -.28913 (157*2π)/189212 weeks
158-.14717 -.15633 (158*2π)/189212 weeks
159-.0749 -.17771 (159*2π)/189212 weeks
160-.1459 -.26577 (160*2π)/189212 weeks
161-.22379 -.16091 (161*2π)/189212 weeks
162-.21207 -.04561 (162*2π)/189212 weeks
163-.11373 .01458 (163*2π)/189212 weeks
164.00888 -.00389 (164*2π)/189212 weeks
165.02611 -.17565 (165*2π)/189211 weeks
166-.05574 -.13154 (166*2π)/189211 weeks
167-.02143 -.12528 (167*2π)/189211 weeks
168-.00438 -.10696 (168*2π)/189211 weeks
169.00666 -.19978 (169*2π)/189211 weeks
170-.04404 -.21393 (170*2π)/189211 weeks
171-.07382 -.24038 (171*2π)/189211 weeks
172-.16268 -.18592 (172*2π)/189211 weeks
173-.12322 -.12552 (173*2π)/189211 weeks
174-.15995 -.10077 (174*2π)/189211 weeks
175-.0588 -.04925 (175*2π)/189211 weeks
176-.06824 -.12269 (176*2π)/189211 weeks
177-.04992 -.08909 (177*2π)/189211 weeks
178-.01248 -.13618 (178*2π)/189211 weeks
179-.11351 -.18563 (179*2π)/189211 weeks
180-.18644 -.06087 (180*2π)/189211 weeks
181-.04815 .00012 (181*2π)/189210 weeks
182.03064 -.09648 (182*2π)/189210 weeks
183-.0586 -.19723 (183*2π)/189210 weeks
184-.15054 -.08943 (184*2π)/189210 weeks
185-.00356 -.03707 (185*2π)/189210 weeks
186-.00517 -.21045 (186*2π)/189210 weeks
187-.14231 -.16359 (187*2π)/189210 weeks
188-.14047 -.1105 (188*2π)/189210 weeks
189-.1119 -.06812 (189*2π)/189210 weeks
190-.0593 -.1002 (190*2π)/189210 weeks
191-.14564 -.1299 (191*2π)/189210 weeks
192-.20324 -.05391 (192*2π)/189210 weeks
193-.15756 .11623 (193*2π)/189210 weeks
194.05697 .08486 (194*2π)/189210 weeks
195.07246 -.07156 (195*2π)/189210 weeks
196-.0428 -.14449 (196*2π)/189210 weeks
197-.08369 -.03283 (197*2π)/189210 weeks
198-.01386 .00692 (198*2π)/189210 weeks
199.07168 -.06533 (199*2π)/189210 weeks
200-.00649 -.1341 (200*2π)/18929 weeks
201-.01298 -.10202 (201*2π)/18929 weeks
202-.01307 -.07455 (202*2π)/18929 weeks
203.05864 -.1369 (203*2π)/18929 weeks
204-.04409 -.1754 (204*2π)/18929 weeks
205-.09947 -.15239 (205*2π)/18929 weeks
206-.10968 -.04768 (206*2π)/18929 weeks
207.006 -.04287 (207*2π)/18929 weeks
208.02926 -.14401 (208*2π)/18929 weeks
209-.0422 -.17291 (209*2π)/18929 weeks
210-.08887 -.12067 (210*2π)/18929 weeks
211-.03872 -.0946 (211*2π)/18929 weeks
212-.04215 -.16359 (212*2π)/18929 weeks
213-.10669 -.11478 (213*2π)/18929 weeks
214-.05481 -.1 (214*2π)/18929 weeks
215-.06082 -.11105 (215*2π)/18929 weeks
216-.08505 -.13233 (216*2π)/18929 weeks
217-.14983 -.13598 (217*2π)/18929 weeks
218-.173 -.02556 (218*2π)/18929 weeks
219-.07683 -.02867 (219*2π)/18929 weeks
220-.13197 -.02912 (220*2π)/18929 weeks
221-.07058 .00149 (221*2π)/18929 weeks
222-.14713 -.01546 (222*2π)/18929 weeks
223-.07688 .12849 (223*2π)/18928 weeks
224.03845 .03952 (224*2π)/18928 weeks
225.01886 -.00558 (225*2π)/18928 weeks
226.00532 -.00429 (226*2π)/18928 weeks
227.03566 .02095 (227*2π)/18928 weeks
228.08821 -.01217 (228*2π)/18928 weeks
229.10856 -.09139 (229*2π)/18928 weeks
230.06494 -.14877 (230*2π)/18928 weeks
231-.0278 -.17041 (231*2π)/18928 weeks
232-.07871 -.1083 (232*2π)/18928 weeks
233-.06862 -.06395 (233*2π)/18928 weeks
234-.05895 -.05 (234*2π)/18928 weeks
235-.0329 -.01293 (235*2π)/18928 weeks
236.03648 -.02638 (236*2π)/18928 weeks
237.02787 -.13206 (237*2π)/18928 weeks
238-.09449 -.10643 (238*2π)/18928 weeks
239-.09979 -.02993 (239*2π)/18928 weeks
240-.07896 .02806 (240*2π)/18928 weeks
241-.00023 .06695 (241*2π)/18928 weeks
242.08106 .07462 (242*2π)/18928 weeks
243.18519 -.01668 (243*2π)/18928 weeks
244.1097 -.16736 (244*2π)/18928 weeks
245.00287 -.11651 (245*2π)/18928 weeks
246.04716 -.02223 (246*2π)/18928 weeks
247.12404 -.09187 (247*2π)/18928 weeks
248.0578 -.16598 (248*2π)/18928 weeks
249.03766 -.13405 (249*2π)/18928 weeks
250.03479 -.11602 (250*2π)/18928 weeks
251.07233 -.17197 (251*2π)/18928 weeks
252-.01462 -.2399 (252*2π)/18928 weeks
253-.11952 -.16735 (253*2π)/18927 weeks
254-.10992 -.0385 (254*2π)/18927 weeks
255-.00687 .02118 (255*2π)/18927 weeks
256.11529 -.03287 (256*2π)/18927 weeks
257.09753 -.16535 (257*2π)/18927 weeks
258-.01164 -.20751 (258*2π)/18927 weeks
259-.07935 -.12368 (259*2π)/18927 weeks
260-.02748 -.05064 (260*2π)/18927 weeks
261.05954 -.07246 (261*2π)/18927 weeks
262.06236 -.17178 (262*2π)/18927 weeks
263.01257 -.19212 (263*2π)/18927 weeks
264-.00193 -.22987 (264*2π)/18927 weeks
265-.09013 -.25253 (265*2π)/18927 weeks
266-.17174 -.1558 (266*2π)/18927 weeks
267-.12886 -.06444 (267*2π)/18927 weeks
268-.03929 -.04226 (268*2π)/18927 weeks
269-.03426 -.12628 (269*2π)/18927 weeks
270-.08807 -.12493 (270*2π)/18927 weeks
271-.12074 -.0766 (271*2π)/18927 weeks
272-.11203 -.0128 (272*2π)/18927 weeks
273-.04221 .03256 (273*2π)/18927 weeks
274.04465 -.01443 (274*2π)/18927 weeks
275.04843 -.07684 (275*2π)/18927 weeks
276.03291 -.12688 (276*2π)/18927 weeks
277-.00329 -.12092 (277*2π)/18927 weeks
278-.00862 -.10619 (278*2π)/18927 weeks
279-.03506 -.13985 (279*2π)/18927 weeks
280-.03975 -.0837 (280*2π)/18927 weeks
281-.02112 -.1096 (281*2π)/18927 weeks
282-.01385 -.0722 (282*2π)/18927 weeks
283.02975 -.13057 (283*2π)/18927 weeks
284-.01442 -.20633 (284*2π)/18927 weeks
285-.1157 -.18324 (285*2π)/18927 weeks
286-.13624 -.07699 (286*2π)/18927 weeks
287-.08077 -.03729 (287*2π)/18927 weeks
288-.01747 -.04548 (288*2π)/18927 weeks
289-.0025 -.07984 (289*2π)/18927 weeks
290.01228 -.12275 (290*2π)/18927 weeks
291-.04037 -.17334 (291*2π)/18927 weeks
292-.1145 -.1302 (292*2π)/18926 weeks
293-.08455 -.03458 (293*2π)/18926 weeks
294-.00648 -.01167 (294*2π)/18926 weeks
295.04868 -.08754 (295*2π)/18926 weeks
296.02163 -.16194 (296*2π)/18926 weeks
297-.04469 -.17735 (297*2π)/18926 weeks
298-.1012 -.12312 (298*2π)/18926 weeks
299-.0391 -.07532 (299*2π)/18926 weeks
300-.00051 -.12441 (300*2π)/18926 weeks
301-.08142 -.17458 (301*2π)/18926 weeks
302-.11661 -.08909 (302*2π)/18926 weeks
303-.03452 -.06164 (303*2π)/18926 weeks
304-.00909 -.10158 (304*2π)/18926 weeks
305-.06715 -.16008 (305*2π)/18926 weeks
306-.12146 -.10053 (306*2π)/18926 weeks
307-.08824 -.09238 (307*2π)/18926 weeks
308-.08461 -.05013 (308*2π)/18926 weeks
309-.05253 -.09764 (309*2π)/18926 weeks
310-.106 -.10949 (310*2π)/18926 weeks
311-.12472 -.04222 (311*2π)/18926 weeks
312-.06698 -.00371 (312*2π)/18926 weeks
313-.02265 -.06768 (313*2π)/18926 weeks
314-.07717 -.08466 (314*2π)/18926 weeks
315-.07273 -.04528 (315*2π)/18926 weeks
316-.04114 -.05845 (316*2π)/18926 weeks
317-.05647 -.06946 (317*2π)/18926 weeks
318-.04924 -.09279 (318*2π)/18926 weeks
319-.09424 -.08472 (319*2π)/18926 weeks
320-.10678 -.05147 (320*2π)/18926 weeks
321-.07939 -.01663 (321*2π)/18926 weeks
322-.06093 -.01348 (322*2π)/18926 weeks
323-.04401 -.01796 (323*2π)/18926 weeks
324-.04236 -.03444 (324*2π)/18926 weeks
325-.03944 -.01347 (325*2π)/18926 weeks
326-.03668 -.05027 (326*2π)/18926 weeks
327-.05795 -.03228 (327*2π)/18926 weeks
328-.06796 .014 (328*2π)/18926 weeks
329.00247 .03079 (329*2π)/18926 weeks
330.0233 -.02146 (330*2π)/18926 weeks
331-.00067 -.04882 (331*2π)/18926 weeks
332.00028 -.03901 (332*2π)/18926 weeks
333.01293 -.0231 (333*2π)/18926 weeks
334.0625 -.05428 (334*2π)/18926 weeks
335.0209 -.14094 (335*2π)/18926 weeks
336-.04524 -.11521 (336*2π)/18926 weeks
337-.06835 -.07473 (337*2π)/18926 weeks
338-.00846 -.00942 (338*2π)/18926 weeks
339.05539 -.11369 (339*2π)/18926 weeks
340-.04646 -.15323 (340*2π)/18926 weeks
341-.08107 -.1021 (341*2π)/18926 weeks
342-.07002 -.0492 (342*2π)/18926 weeks
343-.00569 -.06073 (343*2π)/18926 weeks
344-.00847 -.11275 (344*2π)/18926 weeks
345-.06253 -.10803 (345*2π)/18925 weeks
346-.05343 -.09542 (346*2π)/18925 weeks
347-.04875 -.08836 (347*2π)/18925 weeks
348-.0482 -.10575 (348*2π)/18925 weeks
349-.09173 -.0928 (349*2π)/18925 weeks
350-.08273 -.06421 (350*2π)/18925 weeks
351-.03969 -.0535 (351*2π)/18925 weeks
352-.04286 -.11131 (352*2π)/18925 weeks
353-.12296 -.09676 (353*2π)/18925 weeks
354-.10887 -.03647 (354*2π)/18925 weeks
355-.09141 -.01582 (355*2π)/18925 weeks
356-.03132 .00916 (356*2π)/18925 weeks
357-.01908 -.05408 (357*2π)/18925 weeks
358-.03724 -.04685 (358*2π)/18925 weeks
359-.03719 -.04244 (359*2π)/18925 weeks
360-.03338 -.05385 (360*2π)/18925 weeks
361-.04573 -.04782 (361*2π)/18925 weeks
362-.05706 -.05603 (362*2π)/18925 weeks
363-.05208 -.01099 (363*2π)/18925 weeks
364-.01316 -.03037 (364*2π)/18925 weeks
365.00466 -.04013 (365*2π)/18925 weeks
366-.00099 -.09263 (366*2π)/18925 weeks
367-.03843 -.06633 (367*2π)/18925 weeks
368-.01984 -.06796 (368*2π)/18925 weeks
369-.04763 -.05674 (369*2π)/18925 weeks
370-.0122 -.04305 (370*2π)/18925 weeks
371-.02357 -.05892 (371*2π)/18925 weeks
372-.01138 -.04959 (372*2π)/18925 weeks
373-.02323 -.05937 (373*2π)/18925 weeks
374.02154 -.06516 (374*2π)/18925 weeks
375-.00281 -.13706 (375*2π)/18925 weeks
376-.0663 -.12999 (376*2π)/18925 weeks
377-.09728 -.07195 (377*2π)/18925 weeks
378-.04983 -.05117 (378*2π)/18925 weeks
379-.03439 -.07778 (379*2π)/18925 weeks
380-.07095 -.10241 (380*2π)/18925 weeks
381-.09025 -.05762 (381*2π)/18925 weeks
382-.0666 -.04737 (382*2π)/18925 weeks
383-.04731 -.05114 (383*2π)/18925 weeks
384-.05209 -.08268 (384*2π)/18925 weeks
385-.11177 -.07242 (385*2π)/18925 weeks
386-.09102 -.00428 (386*2π)/18925 weeks
387-.0287 -.00982 (387*2π)/18925 weeks
388-.02773 -.05136 (388*2π)/18925 weeks
389-.07174 -.06911 (389*2π)/18925 weeks
390-.08239 -.00277 (390*2π)/1892