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Fourier Analysis of PKY (Parkway Properties, Inc. Common)

PKY (Parkway Properties, Inc. Common) appears to have interesting cyclic behaviour every 227 weeks (.9183*sine), 162 weeks (.7442*cosine), and 78 weeks (.4831*cosine).

PKY (Parkway Properties, Inc. Common) has an average price of 9.3 (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 5/3/1973 to 10/17/2016 for PKY (Parkway Properties, Inc. Common), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
09.29692   0
1.88649 -9.93983 (1*2π)/22682,268 weeks
2-4.29891 -.96534 (2*2π)/22681,134 weeks
31.53849 .08615 (3*2π)/2268756 weeks
42.45123 -.55089 (4*2π)/2268567 weeks
5.88785 -2.88771 (5*2π)/2268454 weeks
6-.85904 -1.37111 (6*2π)/2268378 weeks
7-.23827 -.42058 (7*2π)/2268324 weeks
8-.12946 -.32499 (8*2π)/2268284 weeks
9.36618 -.22162 (9*2π)/2268252 weeks
10.05747 -.91829 (10*2π)/2268227 weeks
11-.37658 -.3328 (11*2π)/2268206 weeks
12-.51926 .08783 (12*2π)/2268189 weeks
13.20638 .66284 (13*2π)/2268174 weeks
14.74417 -.03402 (14*2π)/2268162 weeks
15.41035 -.63912 (15*2π)/2268151 weeks
16.00616 -.5913 (16*2π)/2268142 weeks
17-.29844 -.04313 (17*2π)/2268133 weeks
18.02693 -.02372 (18*2π)/2268126 weeks
19.1042 -.16911 (19*2π)/2268119 weeks
20.02323 -.12108 (20*2π)/2268113 weeks
21.06969 -.16237 (21*2π)/2268108 weeks
22.05571 .02251 (22*2π)/2268103 weeks
23.17605 -.21505 (23*2π)/226899 weeks
24-.05255 -.19473 (24*2π)/226895 weeks
25.07361 .03821 (25*2π)/226891 weeks
26.33062 -.14029 (26*2π)/226887 weeks
27.18724 -.57477 (27*2π)/226884 weeks
28-.31895 -.52453 (28*2π)/226881 weeks
29-.48313 .09252 (29*2π)/226878 weeks
30.04242 .2513 (30*2π)/226876 weeks
31.26074 -.06604 (31*2π)/226873 weeks
32.26128 -.20309 (32*2π)/226871 weeks
33.01629 -.45369 (33*2π)/226869 weeks
34-.26219 -.1679 (34*2π)/226867 weeks
35-.09436 .07978 (35*2π)/226865 weeks
36.15092 .04685 (36*2π)/226863 weeks
37.26638 -.11438 (37*2π)/226861 weeks
38.03673 -.32287 (38*2π)/226860 weeks
39.0087 -.14115 (39*2π)/226858 weeks
40.04679 -.17146 (40*2π)/226857 weeks
41-.02785 -.11439 (41*2π)/226855 weeks
42.0773 -.16378 (42*2π)/226854 weeks
43.12669 -.23702 (43*2π)/226853 weeks
44-.09676 -.21525 (44*2π)/226852 weeks
45-.13723 -.02593 (45*2π)/226850 weeks
46.06404 -.09452 (46*2π)/226849 weeks
47.01093 -.05773 (47*2π)/226848 weeks
48.09701 -.16891 (48*2π)/226847 weeks
49-.08812 -.24018 (49*2π)/226846 weeks
50-.09211 .01015 (50*2π)/226845 weeks
51.0504 -.09812 (51*2π)/226844 weeks
52-.08147 -.11199 (52*2π)/226844 weeks
53-.00672 -.08184 (53*2π)/226843 weeks
54-.02377 -.13049 (54*2π)/226842 weeks
55-.06385 -.1489 (55*2π)/226841 weeks
56-.12161 -.02448 (56*2π)/226841 weeks
57.02432 .06341 (57*2π)/226840 weeks
58.08728 -.08856 (58*2π)/226839 weeks
59.0481 -.20064 (59*2π)/226838 weeks
60-.12706 -.12922 (60*2π)/226838 weeks
61-.05089 .03538 (61*2π)/226837 weeks
62.03826 -.06304 (62*2π)/226837 weeks
63.00882 -.12157 (63*2π)/226836 weeks
64-.03715 -.12835 (64*2π)/226835 weeks
65-.04843 -.04265 (65*2π)/226835 weeks
66.01218 -.12992 (66*2π)/226834 weeks
67-.14507 -.04263 (67*2π)/226834 weeks
68.00004 .04093 (68*2π)/226833 weeks
69.03402 -.1482 (69*2π)/226833 weeks
70-.06857 -.07251 (70*2π)/226832 weeks
71-.10242 -.00673 (71*2π)/226832 weeks
72.02381 .06263 (72*2π)/226832 weeks
73.10126 -.04968 (73*2π)/226831 weeks
74.00366 -.05898 (74*2π)/226831 weeks
75.01429 -.08408 (75*2π)/226830 weeks
76-.01263 -.09744 (76*2π)/226830 weeks
77.00691 -.0418 (77*2π)/226829 weeks
78-.04366 -.08939 (78*2π)/226829 weeks
79-.07211 -.0222 (79*2π)/226829 weeks
80.02321 .01985 (80*2π)/226828 weeks
81.07051 -.08086 (81*2π)/226828 weeks
82.03267 -.10593 (82*2π)/226828 weeks
83-.0811 -.10423 (83*2π)/226827 weeks
84-.11531 .03585 (84*2π)/226827 weeks
85.05545 .08437 (85*2π)/226827 weeks
86.08728 -.07784 (86*2π)/226826 weeks
87-.02027 -.11184 (87*2π)/226826 weeks
88-.04282 -.02137 (88*2π)/226826 weeks
89.01406 .01476 (89*2π)/226825 weeks
90.05821 -.00443 (90*2π)/226825 weeks
91.05288 -.07047 (91*2π)/226825 weeks
92.01618 -.04031 (92*2π)/226825 weeks
93.02466 -.0979 (93*2π)/226824 weeks
94-.04945 -.02703 (94*2π)/226824 weeks
95.0389 .05823 (95*2π)/226824 weeks
96.1215 -.02019 (96*2π)/226824 weeks
97.1356 -.12585 (97*2π)/226823 weeks
98-.0486 -.15535 (98*2π)/226823 weeks
99-.04224 -.0465 (99*2π)/226823 weeks
100.01205 -.04701 (100*2π)/226823 weeks
101-.00161 -.01764 (101*2π)/226822 weeks
102.07418 -.06544 (102*2π)/226822 weeks
103.00507 -.15479 (103*2π)/226822 weeks
104-.09294 -.0502 (104*2π)/226822 weeks
105-.01429 .05149 (105*2π)/226822 weeks
106.08534 -.01766 (106*2π)/226821 weeks
107.0786 -.1149 (107*2π)/226821 weeks
108-.0273 -.16071 (108*2π)/226821 weeks
109-.09612 -.05779 (109*2π)/226821 weeks
110.01193 .01925 (110*2π)/226821 weeks
111.00487 -.06797 (111*2π)/226820 weeks
112.01382 -.05937 (112*2π)/226820 weeks
113.00859 -.08442 (113*2π)/226820 weeks
114-.04946 -.08001 (114*2π)/226820 weeks
115-.04728 -.0368 (115*2π)/226820 weeks
116.00211 .00028 (116*2π)/226820 weeks
117.0418 -.06453 (117*2π)/226819 weeks
118-.04068 -.07863 (118*2π)/226819 weeks
119-.0453 -.05132 (119*2π)/226819 weeks
120-.04317 -.02838 (120*2π)/226819 weeks
121-.02318 .00346 (121*2π)/226819 weeks
122.02073 .01452 (122*2π)/226819 weeks
123.08298 -.05955 (123*2π)/226818 weeks
124-.05436 -.14311 (124*2π)/226818 weeks
125-.12479 -.0538 (125*2π)/226818 weeks
126-.09911 .0768 (126*2π)/226818 weeks
127.0439 .08977 (127*2π)/226818 weeks
128.07765 -.03112 (128*2π)/226818 weeks
129.00773 -.07222 (129*2π)/226818 weeks
130-.00701 -.05679 (130*2π)/226817 weeks
131-.05393 -.02164 (131*2π)/226817 weeks
132-.03728 .01871 (132*2π)/226817 weeks
133.02191 .0484 (133*2π)/226817 weeks
134.13465 -.00667 (134*2π)/226817 weeks
135.04534 -.19616 (135*2π)/226817 weeks
136-.13895 -.10718 (136*2π)/226817 weeks
137-.1227 .04953 (137*2π)/226817 weeks
138.03495 .09772 (138*2π)/226816 weeks
139.10524 -.01546 (139*2π)/226816 weeks
140.05699 -.0914 (140*2π)/226816 weeks
141-.0228 -.12406 (141*2π)/226816 weeks
142-.07741 -.07411 (142*2π)/226816 weeks
143-.04453 .02078 (143*2π)/226816 weeks
144.01559 .00501 (144*2π)/226816 weeks
145.00644 -.0471 (145*2π)/226816 weeks
146-.00481 -.04427 (146*2π)/226816 weeks
147-.01633 -.01426 (147*2π)/226815 weeks
148.01257 -.03448 (148*2π)/226815 weeks
149-.01371 -.03952 (149*2π)/226815 weeks
150.0271 -.03384 (150*2π)/226815 weeks
151.01282 -.0707 (151*2π)/226815 weeks
152-.03371 -.04916 (152*2π)/226815 weeks
153-.02583 -.02901 (153*2π)/226815 weeks
154-.01009 -.01556 (154*2π)/226815 weeks
155-.00991 -.02743 (155*2π)/226815 weeks
156.00087 -.02491 (156*2π)/226815 weeks
157.00789 -.04518 (157*2π)/226814 weeks
158-.02676 -.04177 (158*2π)/226814 weeks
159-.02824 -.01076 (159*2π)/226814 weeks
160.02889 -.01314 (160*2π)/226814 weeks
161.0025 -.03366 (161*2π)/226814 weeks
162.00427 -.04755 (162*2π)/226814 weeks
163-.0178 -.06936 (163*2π)/226814 weeks
164-.04416 -.00764 (164*2π)/226814 weeks
165.00159 -.00161 (165*2π)/226814 weeks
166.03728 -.02704 (166*2π)/226814 weeks
167.00817 -.07056 (167*2π)/226814 weeks
168-.03198 -.05473 (168*2π)/226814 weeks
169-.03006 -.04009 (169*2π)/226813 weeks
170-.04369 -.01094 (170*2π)/226813 weeks
171-.00813 .03752 (171*2π)/226813 weeks
172.06763 -.00527 (172*2π)/226813 weeks
173.06447 -.06555 (173*2π)/226813 weeks
174-.02103 -.07911 (174*2π)/226813 weeks
175-.03203 -.024 (175*2π)/226813 weeks
176.01574 -.03874 (176*2π)/226813 weeks
177-.02031 -.05105 (177*2π)/226813 weeks
178-.01563 -.02896 (178*2π)/226813 weeks
179-.0143 -.02372 (179*2π)/226813 weeks
180-.02144 -.01774 (180*2π)/226813 weeks
181.00694 .00456 (181*2π)/226813 weeks
182.01584 -.03413 (182*2π)/226812 weeks
183.00691 -.04909 (183*2π)/226812 weeks
184-.00468 -.03891 (184*2π)/226812 weeks
185-.0282 -.03494 (185*2π)/226812 weeks
186-.01659 -.0044 (186*2π)/226812 weeks
187.0176 -.00133 (187*2π)/226812 weeks
188.00367 -.0518 (188*2π)/226812 weeks
189-.03978 -.04087 (189*2π)/226812 weeks
190-.01845 -.00868 (190*2π)/226812 weeks
191-.0087 -.02091 (191*2π)/226812 weeks
192-.02107 .00337 (192*2π)/226812 weeks
193.01455 -.02188 (193*2π)/226812 weeks
194-.02606 -.03329 (194*2π)/226812 weeks
195-.04212 .00022 (195*2π)/226812 weeks
196-.01584 .03131 (196*2π)/226812 weeks
197.0471 .01567 (197*2π)/226812 weeks
198.00217 -.03597 (198*2π)/226811 weeks
199.01742 .01594 (199*2π)/226811 weeks
200.05029 -.02353 (200*2π)/226811 weeks
201.00796 -.047 (201*2π)/226811 weeks
202-.00763 -.03739 (202*2π)/226811 weeks
203-.00451 -.0208 (203*2π)/226811 weeks
204.0182 -.0015 (204*2π)/226811 weeks
205.03278 -.03469 (205*2π)/226811 weeks
206.0043 -.07529 (206*2π)/226811 weeks
207-.04475 -.03944 (207*2π)/226811 weeks
208-.0277 .01605 (208*2π)/226811 weeks
209.01372 -.00546 (209*2π)/226811 weeks
210.00457 -.02053 (210*2π)/226811 weeks
211.00824 -.02498 (211*2π)/226811 weeks
212-.00982 -.03219 (212*2π)/226811 weeks
213-.02261 .00345 (213*2π)/226811 weeks
214.03571 .02301 (214*2π)/226811 weeks
215.04491 -.04897 (215*2π)/226811 weeks
216-.00195 -.06771 (216*2π)/226811 weeks
217-.01057 -.03639 (217*2π)/226810 weeks
218-.00836 -.01817 (218*2π)/226810 weeks
219.01051 -.03478 (219*2π)/226810 weeks
220.00492 -.03446 (220*2π)/226810 weeks
221-.00058 -.03649 (221*2π)/226810 weeks
222-.03218 -.05058 (222*2π)/226810 weeks
223-.03902 -.00431 (223*2π)/226810 weeks
224.02618 -.00175 (224*2π)/226810 weeks
225.01656 -.05489 (225*2π)/226810 weeks
226-.01684 -.05783 (226*2π)/226810 weeks
227-.03392 -.02917 (227*2π)/226810 weeks
228-.02367 -.00284 (228*2π)/226810 weeks
229.01124 -.03228 (229*2π)/226810 weeks
230-.00607 -.0201 (230*2π)/226810 weeks
231-.0035 -.04295 (231*2π)/226810 weeks
232-.02372