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Fourier Analysis of FDX (FedEx Corporation Common Stock)


FDX (FedEx Corporation Common Stock) appears to have interesting cyclic behaviour every 156 weeks (4.1717*sine), 70 weeks (3.9467*sine), and 144 weeks (3.7039*sine).

FDX (FedEx Corporation Common Stock) has an average price of 46.78 (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 4/12/1978 to 1/9/2017 for FDX (FedEx Corporation Common Stock), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
046.77894   0 
120.73594 -44.10074 (1*2π)/20222,022 weeks
22.78809 -16.06245 (2*2π)/20221,011 weeks
39.46931 -14.2996 (3*2π)/2022674 weeks
48.38719 -19.07618 (4*2π)/2022506 weeks
5-1.70075 -16.14091 (5*2π)/2022404 weeks
6-1.76035 -7.64298 (6*2π)/2022337 weeks
71.25809 -9.15459 (7*2π)/2022289 weeks
8-.23842 -9.00091 (8*2π)/2022253 weeks
9-2.69842 -8.20471 (9*2π)/2022225 weeks
10-3.18788 -3.19887 (10*2π)/2022202 weeks
11-.76137 -1.27911 (11*2π)/2022184 weeks
121.45027 -3.00483 (12*2π)/2022169 weeks
131.48981 -4.17166 (13*2π)/2022156 weeks
14-.06544 -3.70388 (14*2π)/2022144 weeks
15.22995 -1.45683 (15*2π)/2022135 weeks
161.36198 -2.64541 (16*2π)/2022126 weeks
171.0861 -2.32222 (17*2π)/2022119 weeks
181.6649 -3.02398 (18*2π)/2022112 weeks
19.35406 -3.5906 (19*2π)/2022106 weeks
20.68423 -3.1067 (20*2π)/2022101 weeks
21.12432 -2.18212 (21*2π)/202296 weeks
222.05578 -2.57369 (22*2π)/202292 weeks
23.38862 -3.37855 (23*2π)/202288 weeks
24.65447 -3.09065 (24*2π)/202284 weeks
25-.1589 -2.33934 (25*2π)/202281 weeks
261.47439 -2.0847 (26*2π)/202278 weeks
27.00222 -3.35787 (27*2π)/202275 weeks
28.07084 -2.31747 (28*2π)/202272 weeks
29.29163 -3.94666 (29*2π)/202270 weeks
30-1.9479 -2.191 (30*2π)/202267 weeks
31-.51388 -.83621 (31*2π)/202265 weeks
32.51698 -1.40663 (32*2π)/202263 weeks
33.34304 -2.5812 (33*2π)/202261 weeks
34-.74782 -1.92478 (34*2π)/202259 weeks
35-.34179 -1.25695 (35*2π)/202258 weeks
36-.17433 -1.29463 (36*2π)/202256 weeks
37.09571 -1.24863 (37*2π)/202255 weeks
38.03668 -1.23846 (38*2π)/202253 weeks
39.86517 -1.5675 (39*2π)/202252 weeks
40-.08279 -2.08299 (40*2π)/202251 weeks
41.17504 -1.46692 (41*2π)/202249 weeks
42.16946 -2.02152 (42*2π)/202248 weeks
43-.75953 -1.41878 (43*2π)/202247 weeks
44-.56859 -1.4174 (44*2π)/202246 weeks
45-.48488 -.44015 (45*2π)/202245 weeks
46.2189 -.84072 (46*2π)/202244 weeks
47.15028 -1.05458 (47*2π)/202243 weeks
48.36588 -.99805 (48*2π)/202242 weeks
49.36205 -.91206 (49*2π)/202241 weeks
50.81852 -1.24814 (50*2π)/202240 weeks
51-.19604 -1.28642 (51*2π)/202240 weeks
52.15873 -1.16302 (52*2π)/202239 weeks
53-.03846 -1.53816 (53*2π)/202238 weeks
54.22281 -1.03987 (54*2π)/202237 weeks
55.14752 -1.30559 (55*2π)/202237 weeks
56-.33672 -.75931 (56*2π)/202236 weeks
57.19642 -1.172 (57*2π)/202235 weeks
58.34315 -1.22743 (58*2π)/202235 weeks
59-.22219 -1.25669 (59*2π)/202234 weeks
60.0201 -.82558 (60*2π)/202234 weeks
61.31969 -.8905 (61*2π)/202233 weeks
62.75017 -1.18276 (62*2π)/202233 weeks
63.01836 -1.60876 (63*2π)/202232 weeks
64-.02351 -1.32302 (64*2π)/202232 weeks
65-.26378 -1.18814 (65*2π)/202231 weeks
66-.23862 -1.13337 (66*2π)/202231 weeks
67-.36302 -.85488 (67*2π)/202230 weeks
68.12631 -.69367 (68*2π)/202230 weeks
69.04778 -.93444 (69*2π)/202229 weeks
70.2513 -.94709 (70*2π)/202229 weeks
71.04239 -1.34812 (71*2π)/202228 weeks
72-.25436 -1.08235 (72*2π)/202228 weeks
73-.11259 -1.12006 (73*2π)/202228 weeks
74-.0239 -.82686 (74*2π)/202227 weeks
75.11448 -1.0443 (75*2π)/202227 weeks
76.04981 -.94858 (76*2π)/202227 weeks
77-.03218 -1.44398 (77*2π)/202226 weeks
78-.45328 -1.17759 (78*2π)/202226 weeks
79-.18903 -.78042 (79*2π)/202226 weeks
80-.26859 -1.36089 (80*2π)/202225 weeks
81-.69123 -1.13092 (81*2π)/202225 weeks
82-.60626 -.74317 (82*2π)/202225 weeks
83-.69652 -.61254 (83*2π)/202224 weeks
84-.41204 -.59988 (84*2π)/202224 weeks
85-.45665 -.40409 (85*2π)/202224 weeks
86-.17874 -.38267 (86*2π)/202224 weeks
87-.24319 -.26993 (87*2π)/202223 weeks
88.00586 -.52734 (88*2π)/202223 weeks
89-.38393 -.54616 (89*2π)/202223 weeks
90.14974 -.12593 (90*2π)/202222 weeks
91.12024 -.6026 (91*2π)/202222 weeks
92-.05425 -.48815 (92*2π)/202222 weeks
93-.05791 -.66115 (93*2π)/202222 weeks
94-.08158 -.44859 (94*2π)/202222 weeks
95-.18566 -.40877 (95*2π)/202221 weeks
96.11217 -.1141 (96*2π)/202221 weeks
97.43443 -.47358 (97*2π)/202221 weeks
98.43312 -.68268 (98*2π)/202221 weeks
99.06561 -.87527 (99*2π)/202220 weeks
100-.00469 -.56813 (100*2π)/202220 weeks
101.30001 -.60228 (101*2π)/202220 weeks
102.18938 -.8088 (102*2π)/202220 weeks
103.1936 -.97015 (103*2π)/202220 weeks
104-.21902 -.74132 (104*2π)/202219 weeks
105.11347 -.68072 (105*2π)/202219 weeks
106.11035 -.85995 (106*2π)/202219 weeks
107-.04455 -.86211 (107*2π)/202219 weeks
108-.22277 -.84225 (108*2π)/202219 weeks
109-.04249 -.51587 (109*2π)/202219 weeks
110.07085 -.72742 (110*2π)/202218 weeks
111.13868 -1.01918 (111*2π)/202218 weeks
112-.37841 -1.16201 (112*2π)/202218 weeks
113-.60813 -.72453 (113*2π)/202218 weeks
114-.26093 -.5149 (114*2π)/202218 weeks
115-.12419 -.69703 (115*2π)/202218 weeks
116-.52135 -.76462 (116*2π)/202217 weeks
117-.49231 -.43518 (117*2π)/202217 weeks
118-.24824 -.39505 (118*2π)/202217 weeks
119-.3882 -.29071 (119*2π)/202217 weeks
120.08883 -.18022 (120*2π)/202217 weeks
121.08564 -.78659 (121*2π)/202217 weeks
122-.30212 -.81243 (122*2π)/202217 weeks
123-.58415 -.47148 (123*2π)/202216 weeks
124-.35196 .02575 (124*2π)/202216 weeks
125.19271 -.39045 (125*2π)/202216 weeks
126-.0415 -.63721 (126*2π)/202216 weeks
127-.19791 -.57873 (127*2π)/202216 weeks
128-.31684 -.36752 (128*2π)/202216 weeks
129-.11862 -.32338 (129*2π)/202216 weeks
130.02177 -.50833 (130*2π)/202216 weeks
131-.36197 -.55789 (131*2π)/202215 weeks
132-.2249 -.24948 (132*2π)/202215 weeks
133-.03997 -.30871 (133*2π)/202215 weeks
134-.12789 -.36664 (134*2π)/202215 weeks
135-.07341 -.34543 (135*2π)/202215 weeks
136.0533 -.42347 (136*2π)/202215 weeks
137-.08733 -.5112 (137*2π)/202215 weeks
138-.16639 -.3333 (138*2π)/202215 weeks
139.00442 -.51252 (139*2π)/202215 weeks
140-.10167 -.36678 (140*2π)/202214 weeks
141-.02396 -.57156 (141*2π)/202214 weeks
142-.24131 -.56368 (142*2π)/202214 weeks
143-.07582 -.31151 (143*2π)/202214 weeks
144-.00621 -.5562 (144*2π)/202214 weeks
145-.4145 -.43075 (145*2π)/202214 weeks
146-.07021 -.17992 (146*2π)/202214 weeks
147.02009 -.43081 (147*2π)/202214 weeks
148.07423 -.4168 (148*2π)/202214 weeks
149-.1128 -.64779 (149*2π)/202214 weeks
150-.27337 -.49309 (150*2π)/202213 weeks
151-.20607 -.61462 (151*2π)/202213 weeks
152-.34936 -.35227 (152*2π)/202213 weeks
153-.16853 -.25659 (153*2π)/202213 weeks
154-.19213 -.3588 (154*2π)/202213 weeks
155-.10687 -.28576 (155*2π)/202213 weeks
156-.12607 -.34242 (156*2π)/202213 weeks
157-.04397 -.38056 (157*2π)/202213 weeks
158-.21009 -.43567 (158*2π)/202213 weeks
159-.22897 -.31952 (159*2π)/202213 weeks
160-.1565 -.19555 (160*2π)/202213 weeks
161-.06302 -.33472 (161*2π)/202213 weeks
162-.09634 -.35731 (162*2π)/202212 weeks
163-.01296 -.35447 (163*2π)/202212 weeks
164-.08685 -.40595 (164*2π)/202212 weeks
165-.12601 -.31487 (165*2π)/202212 weeks
166-.08056 -.34004 (166*2π)/202212 weeks
167-.06873 -.44044 (167*2π)/202212 weeks
168-.1928 -.36993 (168*2π)/202212 weeks
169-.05567 -.25988 (169*2π)/202212 weeks
170-.0401 -.53144 (170*2π)/202212 weeks
171-.2439 -.51185 (171*2π)/202212 weeks
172-.24505 -.34846 (172*2π)/202212 weeks
173-.2612 -.35915 (173*2π)/202212 weeks
174-.39751 -.32861 (174*2π)/202212 weeks
175-.2696 -.00309 (175*2π)/202212 weeks
176.07428 -.24325 (176*2π)/202211 weeks
177-.20923 -.36243 (177*2π)/202211 weeks
178-.17795 -.08316 (178*2π)/202211 weeks
179-.12209 -.05717 (179*2π)/202211 weeks
180.10908 -.2667 (180*2π)/202211 weeks
181-.10822 -.37551 (181*2π)/202211 weeks
182.01635 -.20595 (182*2π)/202211 weeks
183-.05536 -.48217 (183*2π)/202211 weeks
184-.2007 -.21325 (184*2π)/202211 weeks
185.06674 -.22504 (185*2π)/202211 weeks
186-.06864 -.34714 (186*2π)/202211 weeks
187-.05629 -.30373 (187*2π)/202211 weeks
188-.1266 -.31038 (188*2π)/202211 weeks
189-.11691 -.28962 (189*2π)/202211 weeks
190-.03253 -.19671 (190*2π)/202211 weeks
191.07605 -.41254 (191*2π)/202211 weeks
192-.07866 -.46413 (192*2π)/202211 weeks
193-.19988 -.39847 (193*2π)/202210 weeks
194-.17741 -.26017 (194*2π)/202210 weeks
195-.05105 -.3137 (195*2π)/202210 weeks
196-.03983 -.36822 (196*2π)/202210 weeks
197-.21185 -.43873 (197*2π)/202210 weeks
198-.25063 -.12862 (198*2π)/202210 weeks
199.03269 -.21131 (199*2π)/202210 weeks
200-.12365 -.4257 (200*2π)/202210 weeks
201-.19574 -.29787 (201*2π)/202210 weeks
202-.11791 -.22737 (202*2π)/202210 weeks
203-.02568 -.30916 (203*2π)/202210 weeks
204-.08576 -.46989 (204*2π)/202210 weeks
205-.26434 -.43027 (205*2π)/202210 weeks
206-.25644 -.31269 (206*2π)/202210 weeks
207-.31583 -.29395 (207*2π)/202210 weeks
208-.2747 -.17773 (208*2π)/202210 weeks
209-.14747 -.04119 (209*2π)/202210 weeks
210-.01413 -.22534 (210*2π)/202210 weeks
211-.22504 -.29631 (211*2π)/202210 weeks
212-.14941 -.17629 (212*2π)/202210 weeks
213-.15001 -.18148 (213*2π)/20229 weeks
214-.12464 -.10599 (214*2π)/20229 weeks
215-.1047 -.2185 (215*2π)/20229 weeks
216-.07003 -.06427 (216*2π)/20229 weeks
217.02995 -.36521 (217*2π)/20229 weeks
218-.16904 -.23655 (218*2π)/20229 weeks
219-.05197 -.34238 (219*2π)/20229 weeks
220-.21905 -.25135 (220*2π)/20229 weeks
221-.04401 -.20699 (221*2π)/20229 weeks
222-.24931 -.23543 (222*2π)/20229 weeks
223-.02648 -.1187 (223*2π)/20229 weeks
224-.18378 -.31593 (224*2π)/20229 weeks
225-.16375 -.17308 (225*2π)/20229 weeks
226-.25483 -.23375 (226*2π)/20229 weeks
227-.24512 -.00323 (227*2π)/20229 weeks
228-.00696 -.06903 (228*2π)/20229 weeks
229.01297 -.11475 (229*2π)/20229 weeks
230.01178 -.22725 (230*2π)/20229 weeks
231-.11782 -.25014 (231*2π)/20229 weeks
232-.04936 -.18089 (232*2π)/20229 weeks
233-.06975 -.16473 (233*2π)/20229 weeks
234-.00234 -.19591 (234*2π)/20229 weeks
235-.12288 -.34124 (235*2π)/20229 weeks
236-.24978 -.14923 (236*2π)/20229 weeks
237-.05026 -.0526 (237*2π)/20229 weeks
238-.02225 -.04741 (238*2π)/20228 weeks
239.07926 -.23922 (239*2π)/20228 weeks
240-.13268 -.2784 (240*2π)/20228 weeks
241-.10004 -.11549 (241*2π)/20228 weeks
242.01947 -.06616 (242*2π)/20228 weeks
243.10378 -.24663 (243*2π)/20228 weeks
244-.08842 -.23658 (244*2π)/20228 weeks
245.00828 -.18123 (245*2π)/20228 weeks
246-.02122 -.20859 (246*2π)/20228 weeks
247.06468 -.25376 (247*2π)/20228 weeks
248-.13392 -.39733 (248*2π)/20228 weeks
249-.13023 -.19927 (249*2π)/20228 weeks
250-.08769 -.26681 (250*2π)/20228 weeks
251-.07439 -.1134 (251*2π)/20228 weeks
252-.01842 -.19235 (252*2π)/20228 weeks
253-.04923 -.29832 (253*2π)/20228 weeks
254-.0997 -.2642 (254*2π)/20228 weeks
255-.10296 -.19129 (255*2π)/20228 weeks
256-.04921 -.19032 (256*2π)/20228 weeks
257-.04301 -.20391 (257*2π)/20228 weeks
258-.14699 -.24108 (258*2π)/20228 weeks
259-.1314 -.05297 (259*2π)/20228 weeks
260.11285 -.20502 (260*2π)/20228 weeks
261-.10102 -.38357 (261*2π)/20228 weeks
262-.23367 -.21433 (262*2π)/20228 weeks
263-.08911 .00725 (263*2π)/20228 weeks
264.09757 -.14086 (264*2π)/20228 weeks
265.01921 -.24177 (265*2π)/20228 weeks
266.00954 -.26677 (266*2π)/20228 weeks
267-.01444 -.26703 (267*2π)/20228 weeks
268-.10881 -.28188 (268*2π)/20228 weeks
269-.05009 -.25214 (269*2π)/20228 weeks
270-.06994 -.2966 (270*2π)/20227 weeks
271-.13081 -.22549 (271*2π)/20227 weeks
272-.12758 -.19251 (272*2π)/20227 weeks
273-.03436 -.17576 (273*2π)/20227 weeks
274-.0299 -.26694 (274*2π)/20227 weeks
275-.05255 -.2789 (275*2π)/20227 weeks
276-.16352 -.3275 (276*2π)/20227 weeks
277-.24847 -.26939 (277*2π)/20227 weeks
278-.22316 -.0798 (278*2π)/20227 weeks
279-.0644 -.08079 (279*2π)/20227 weeks
280-.10664 -.14772 (280*2π)/20227 weeks
281-.01521 -.17177 (281*2π)/20227 weeks
282-.03611 -.2689 (282*2π)/20227 weeks
283-.05074 -.18557 (283*2π)/20227 weeks
284-.14072 -.21732 (284*2π)/20227 weeks
285-.09146 -.12095 (285*2π)/20227 weeks
286-.10723 -.19756 (286*2π)/20227 weeks
287-.0615 -.09948 (287*2π)/20227 weeks
288.00878 -.1289 (288*2π)/20227 weeks
289.01934 -.23355 (289*2π)/20227 weeks
290-.03867 -.34433 (290*2π)/20227 weeks
291-.14824 -.22133 (291*2π)/20227 weeks
292-.10172 -.12424 (292*2π)/20227 weeks
293.03052 -.19277 (293*2π)/20227 weeks
294-.06405 -.303 (294*2π)/20227 weeks
295-.09766 -.2869 (295*2π)/20227 weeks
296-.18651 -.24801 (296*2π)/20227 weeks
297-.15113 -.09242 (297*2π)/20227 weeks
298.03192 -.21805 (298*2π)/20227 weeks
299-.1503 -.31833 (299*2π)/20227 weeks
300-.17784 -.14582 (300*2π)/20227 weeks
301-.0817 -.12573 (301*2π)/20227 weeks
302-.04935 -.18838 (302*2π)/20227 weeks
303-.05736 -.21122 (303*2π)/20227 weeks
304-.12348 -.19704 (304*2π)/20227 weeks
305-.06111 -.19979 (305*2π)/20227 weeks
306-.13614 -.29185 (306*2π)/20227 weeks
307-.14372 -.16399 (307*2π)/20227 weeks
308-.18173 -.17849 (308*2π)/20227 weeks
309-.12419 -.10903 (309*2π)/20227 weeks
310-.00361 -.14726 (310*2π)/20227 weeks
311-.04807 -.16183 (311*2π)/20227 weeks
312-.06806 -.22824 (312*2π)/20226 weeks
313-.15059 -.22146 (313*2π)/20226 weeks
314-.12081 -.16807 (314*2π)/20226 weeks
315-.07713 -.20499 (315*2π)/20226 weeks
316-.12998 -.12655 (316*2π)/20226 weeks
317-.10155 -.21949 (317*2π)/20226 weeks
318-.14081 -.15271 (318*2π)/20226 weeks
319-.05206 -.13495 (319*2π)/20226 weeks
320-.06519 -.13316 (320*2π)/20226 weeks
321-.07248 -.1652 (321*2π)/20226 weeks
322-.07682 -.20652 (322*2π)/20226 weeks
323-.10747 -.28666 (323*2π)/20226 weeks
324-.16092 -.15148 (324*2π)/20226 weeks
325-.11912 -.07266 (325*2π)/20226 weeks
326-.06578 -.14521 (326*2π)/20226 weeks
327-.05321 -.1921 (327*2π)/20226 weeks
328-.08259 -.19214 (328*2π)/20226 weeks
329-.13014 -.19079 (329*2π)/20226 weeks
330-.10896 -.1361 (330*2π)/20226 weeks
331-.08526 -.19135 (331*2π)/20226 weeks
332-.12314 -.11964 (332*2π)/20226 weeks
333-.04369 -.19751 (333*2π)/20226 weeks
334-.12447 -.18246