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Fourier Analysis of SYY (Sysco Corporation Common Stock)


SYY (Sysco Corporation Common Stock) appears to have interesting cyclic behaviour every 152 weeks (1.586*sine), 228 weeks (1.5287*sine), and 207 weeks (1.5108*sine).

SYY (Sysco Corporation Common Stock) has an average price of 11.24 (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 5/8/1973 to 1/9/2017 for SYY (Sysco Corporation Common Stock), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
011.24385   0 
15.73883 -12.86954 (1*2π)/22792,279 weeks
2.28724 -4.51411 (2*2π)/22791,140 weeks
32.90981 -3.09509 (3*2π)/2279760 weeks
41.46098 -4.56228 (4*2π)/2279570 weeks
5.38188 -2.92294 (5*2π)/2279456 weeks
6.39732 -2.499 (6*2π)/2279380 weeks
7.38729 -1.96907 (7*2π)/2279326 weeks
8.50756 -1.85439 (8*2π)/2279285 weeks
9.35496 -1.87094 (9*2π)/2279253 weeks
10.22775 -1.52875 (10*2π)/2279228 weeks
11.19151 -1.51077 (11*2π)/2279207 weeks
12-.07587 -1.19286 (12*2π)/2279190 weeks
13.4307 -.77246 (13*2π)/2279175 weeks
14.74052 -1.23784 (14*2π)/2279163 weeks
15.17001 -1.58601 (15*2π)/2279152 weeks
16-.03375 -1.07695 (16*2π)/2279142 weeks
17.11478 -.98057 (17*2π)/2279134 weeks
18.0966 -.89006 (18*2π)/2279127 weeks
19.24502 -.87626 (19*2π)/2279120 weeks
20.17 -.9469 (20*2π)/2279114 weeks
21.12941 -.97396 (21*2π)/2279109 weeks
22.06566 -.88416 (22*2π)/2279104 weeks
23.0382 -.87461 (23*2π)/227999 weeks
24.00074 -.78279 (24*2π)/227995 weeks
25.02733 -.77684 (25*2π)/227991 weeks
26.01685 -.74331 (26*2π)/227988 weeks
27.06585 -.81469 (27*2π)/227984 weeks
28-.20828 -.89204 (28*2π)/227981 weeks
29-.35474 -.44139 (29*2π)/227979 weeks
30.1293 -.36769 (30*2π)/227976 weeks
31.03889 -.73832 (31*2π)/227974 weeks
32-.17044 -.52828 (32*2π)/227971 weeks
33-.0391 -.44915 (33*2π)/227969 weeks
34-.00099 -.51827 (34*2π)/227967 weeks
35-.10005 -.46588 (35*2π)/227965 weeks
36-.02333 -.41117 (36*2π)/227963 weeks
37.04195 -.41224 (37*2π)/227962 weeks
38.00391 -.54037 (38*2π)/227960 weeks
39-.1425 -.4294 (39*2π)/227958 weeks
40-.04525 -.34317 (40*2π)/227957 weeks
41.0379 -.37372 (41*2π)/227956 weeks
42-.07086 -.41227 (42*2π)/227954 weeks
43-.01668 -.29586 (43*2π)/227953 weeks
44.04344 -.37449 (44*2π)/227952 weeks
45-.04554 -.3541 (45*2π)/227951 weeks
46.05326 -.28576 (46*2π)/227950 weeks
47.09243 -.37278 (47*2π)/227948 weeks
48.04259 -.48731 (48*2π)/227947 weeks
49-.12996 -.46304 (49*2π)/227947 weeks
50-.15284 -.27635 (50*2π)/227946 weeks
51-.01151 -.23882 (51*2π)/227945 weeks
52.00029 -.30166 (52*2π)/227944 weeks
53-.01334 -.3691 (53*2π)/227943 weeks
54-.15391 -.2994 (54*2π)/227942 weeks
55-.0651 -.14391 (55*2π)/227941 weeks
56.06693 -.23193 (56*2π)/227941 weeks
57-.04568 -.28076 (57*2π)/227940 weeks
58.00261 -.20388 (58*2π)/227939 weeks
59-.01826 -.24518 (59*2π)/227939 weeks
60-.02896 -.13093 (60*2π)/227938 weeks
61.1599 -.13609 (61*2π)/227937 weeks
62.15978 -.33509 (62*2π)/227937 weeks
63-.0285 -.34397 (63*2π)/227936 weeks
64.01597 -.19952 (64*2π)/227936 weeks
65.08805 -.30373 (65*2π)/227935 weeks
66-.08008 -.30539 (66*2π)/227935 weeks
67-.01207 -.13094 (67*2π)/227934 weeks
68.10275 -.21171 (68*2π)/227934 weeks
69.03916 -.2661 (69*2π)/227933 weeks
70.04417 -.19278 (70*2π)/227933 weeks
71.12116 -.25929 (71*2π)/227932 weeks
72.05783 -.29449 (72*2π)/227932 weeks
73.08276 -.31131 (73*2π)/227931 weeks
74-.01243 -.3949 (74*2π)/227931 weeks
75-.14944 -.24558 (75*2π)/227930 weeks
76.01446 -.17512 (76*2π)/227930 weeks
77.00026 -.25546 (77*2π)/227930 weeks
78-.04173 -.17997 (78*2π)/227929 weeks
79.09076 -.21491 (79*2π)/227929 weeks
80-.00413 -.3146 (80*2π)/227928 weeks
81-.08614 -.22908 (81*2π)/227928 weeks
82-.01592 -.18843 (82*2π)/227928 weeks
83-.02729 -.17301 (83*2π)/227927 weeks
84.02462 -.17993 (84*2π)/227927 weeks
85-.00612 -.19908 (85*2π)/227927 weeks
86.05617 -.14138 (86*2π)/227927 weeks
87.08295 -.2842 (87*2π)/227926 weeks
88-.07715 -.25493 (88*2π)/227926 weeks
89.01886 -.14649 (89*2π)/227926 weeks
90.02865 -.24752 (90*2π)/227925 weeks
91-.04333 -.23797 (91*2π)/227925 weeks
92-.04852 -.19043 (92*2π)/227925 weeks
93-.04321 -.11294 (93*2π)/227925 weeks
94.08807 -.14286 (94*2π)/227924 weeks
95.04136 -.27217 (95*2π)/227924 weeks
96-.07803 -.21078 (96*2π)/227924 weeks
97-.01925 -.12614 (97*2π)/227923 weeks
98.02376 -.147 (98*2π)/227923 weeks
99.03474 -.15456 (99*2π)/227923 weeks
100.0419 -.18945 (100*2π)/227923 weeks
101.03511 -.17857 (101*2π)/227923 weeks
102.0352 -.19889 (102*2π)/227922 weeks
103.03083 -.20432 (103*2π)/227922 weeks
104.02187 -.20472 (104*2π)/227922 weeks
105.03906 -.21887 (105*2π)/227922 weeks
106-.02 -.26148 (106*2π)/227922 weeks
107-.07864 -.17867 (107*2π)/227921 weeks
108.01481 -.12152 (108*2π)/227921 weeks
109.05142 -.17809 (109*2π)/227921 weeks
110.03249 -.24016 (110*2π)/227921 weeks
111-.03184 -.21391 (111*2π)/227921 weeks
112-.00765 -.19653 (112*2π)/227920 weeks
113-.01816 -.19272 (113*2π)/227920 weeks
114-.01961 -.17616 (114*2π)/227920 weeks
115.02427 -.18027 (115*2π)/227920 weeks
116.00787 -.24133 (116*2π)/227920 weeks
117-.06052 -.21512 (117*2π)/227919 weeks
118-.02546 -.17673 (118*2π)/227919 weeks
119-.03171 -.20495 (119*2π)/227919 weeks
120-.05505 -.19289 (120*2π)/227919 weeks
121-.05096 -.16846 (121*2π)/227919 weeks
122-.04207 -.17112 (122*2π)/227919 weeks
123-.0619 -.17198 (123*2π)/227919 weeks
124-.07001 -.10667 (124*2π)/227918 weeks
125.04085 -.11109 (125*2π)/227918 weeks
126.00653 -.21121 (126*2π)/227918 weeks
127-.03785 -.18157 (127*2π)/227918 weeks
128-.05285 -.18658 (128*2π)/227918 weeks
129-.06109 -.13138 (129*2π)/227918 weeks
130.00865 -.12958 (130*2π)/227918 weeks
131-.00203 -.20194 (131*2π)/227917 weeks
132-.05915 -.2066 (132*2π)/227917 weeks
133-.10271 -.15672 (133*2π)/227917 weeks
134-.05066 -.10393 (134*2π)/227917 weeks
135-.03773 -.12767 (135*2π)/227917 weeks
136-.00182 -.1283 (136*2π)/227917 weeks
137-.01424 -.18816 (137*2π)/227917 weeks
138-.08462 -.17679 (138*2π)/227917 weeks
139-.08883 -.11133 (139*2π)/227916 weeks
140-.0237 -.08183 (140*2π)/227916 weeks
141.01075 -.14315 (141*2π)/227916 weeks
142-.05228 -.1826 (142*2π)/227916 weeks
143-.07029 -.12434 (143*2π)/227916 weeks
144-.05094 -.1226 (144*2π)/227916 weeks
145-.06965 -.11197 (145*2π)/227916 weeks
146-.01869 -.07315 (146*2π)/227916 weeks
147-.01048 -.13597 (147*2π)/227916 weeks
148-.02494 -.12205 (148*2π)/227915 weeks
149-.04381 -.14191 (149*2π)/227915 weeks
150-.04511 -.10191 (150*2π)/227915 weeks
151-.02462 -.09921 (151*2π)/227915 weeks
152-.00225 -.11407 (152*2π)/227915 weeks
153.00647 -.1431 (153*2π)/227915 weeks
154-.04878 -.16871 (154*2π)/227915 weeks
155-.06554 -.12522 (155*2π)/227915 weeks
156-.03895 -.09983 (156*2π)/227915 weeks
157-.0255 -.13004 (157*2π)/227915 weeks
158-.0587 -.12617 (158*2π)/227914 weeks
159-.05615 -.09812 (159*2π)/227914 weeks
160-.02465 -.08478 (160*2π)/227914 weeks
161-.00834 -.10871 (161*2π)/227914 weeks
162-.01454 -.12504 (162*2π)/227914 weeks
163-.03086 -.15018 (163*2π)/227914 weeks
164-.06776 -.12073 (164*2π)/227914 weeks
165-.03765 -.10004 (165*2π)/227914 weeks
166-.04013 -.11357 (166*2π)/227914 weeks
167-.03466 -.11523 (167*2π)/227914 weeks
168-.05232 -.1254 (168*2π)/227914 weeks
169-.0543 -.08684 (169*2π)/227913 weeks
170-.02379 -.12767 (170*2π)/227913 weeks
171-.09365 -.10764 (171*2π)/227913 weeks
172-.04153 -.05461 (172*2π)/227913 weeks
173-.00258 -.09498 (173*2π)/227913 weeks
174-.04694 -.14156 (174*2π)/227913 weeks
175-.07481 -.07494 (175*2π)/227913 weeks
176-.02067 -.09047 (176*2π)/227913 weeks
177-.05318 -.10708 (177*2π)/227913 weeks
178-.05489 -.09423 (178*2π)/227913 weeks
179-.06461 -.09351 (179*2π)/227913 weeks
180-.09068 -.05366 (180*2π)/227913 weeks
181-.02028 -.00819 (181*2π)/227913 weeks
182.01835 -.06916 (182*2π)/227913 weeks
183-.00626 -.09115 (183*2π)/227912 weeks
184-.02004 -.10126 (184*2π)/227912 weeks
185-.03468 -.09031 (185*2π)/227912 weeks
186-.03063 -.06628 (186*2π)/227912 weeks
187.00071 -.08668 (187*2π)/227912 weeks
188-.02949 -.10405 (188*2π)/227912 weeks
189-.03308 -.0779 (189*2π)/227912 weeks
190-.00913 -.08419 (190*2π)/227912 weeks
191-.02381 -.11289 (191*2π)/227912 weeks
192-.04996 -.07691 (192*2π)/227912 weeks
193-.01124 -.08674 (193*2π)/227912 weeks
194-.03733 -.1035 (194*2π)/227912 weeks
195-.0481 -.07883 (195*2π)/227912 weeks
196-.0422 -.06986 (196*2π)/227912 weeks
197-.01528 -.05693 (197*2π)/227912 weeks
198-.01812 -.09593 (198*2π)/227912 weeks
199-.03955 -.06481 (199*2π)/227911 weeks
200-.00933 -.06031 (200*2π)/227911 weeks
201.00957 -.09075 (201*2π)/227911 weeks
202-.0227 -.09198 (202*2π)/227911 weeks
203-.00211 -.10925 (203*2π)/227911 weeks
204-.05693 -.12372 (204*2π)/227911 weeks
205-.06157 -.05885 (205*2π)/227911 weeks
206-.01238 -.07359 (206*2π)/227911 weeks
207-.0401 -.09857 (207*2π)/227911 weeks
208-.05563 -.06457 (208*2π)/227911 weeks
209-.02407 -.05466 (209*2π)/227911 weeks
210-.01768 -.07269 (210*2π)/227911 weeks
211-.0239 -.07566 (211*2π)/227911 weeks
212-.02418 -.07207 (212*2π)/227911 weeks
213-.03127 -.08328 (213*2π)/227911 weeks
214-.02922 -.05115 (214*2π)/227911 weeks
215.00559 -.07181 (215*2π)/227911 weeks
216-.01891 -.10681 (216*2π)/227911 weeks
217-.05577 -.07648 (217*2π)/227911 weeks
218-.01242 -.05571 (218*2π)/227910 weeks
219-.01312 -.08776 (219*2π)/227910 weeks
220-.03562 -.09235 (220*2π)/227910 weeks
221-.03746 -.07163 (221*2π)/227910 weeks
222-.03762 -.0681 (222*2π)/227910 weeks
223-.02117 -.05307 (223*2π)/227910 weeks
224-.00441 -.08022 (224*2π)/227910 weeks
225-.02737 -.09285 (225*2π)/227910 weeks
226-.04101 -.08104 (226*2π)/227910 weeks
227-.03447 -.06976 (227*2π)/227910 weeks
228-.03783 -.07124 (228*2π)/227910 weeks
229-.02622 -.06383 (229*2π)/227910 weeks
230-.03239 -.07666