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Fourier Analysis of FTD (FTD Companies Inc)


FTD (FTD Companies Inc) appears to have interesting cyclic behaviour every 18 weeks (.5891*sine), 12 weeks (.5756*cosine), and 12 weeks (.3415*sine).

FTD (FTD Companies Inc) has an average price of 27.76 (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 10/10/2013 to 7/17/2017 for FTD (FTD Companies Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
027.75798   0 
1-1.36101 5.38962 (1*2π)/198198 weeks
2-.8259 1.09994 (2*2π)/19899 weeks
3.72812 1.11591 (3*2π)/19866 weeks
4.37974 1.37858 (4*2π)/19850 weeks
5-1.25644 1.17365 (5*2π)/19840 weeks
6.62156 1.36739 (6*2π)/19833 weeks
7.36107 .6485 (7*2π)/19828 weeks
8.44011 .19196 (8*2π)/19825 weeks
9.20825 .46051 (9*2π)/19822 weeks
10-.1698 .39772 (10*2π)/19820 weeks
11.01327 .58911 (11*2π)/19818 weeks
12.1833 .38874 (12*2π)/19817 weeks
13-.17659 -.0355 (13*2π)/19815 weeks
14.05518 .37979 (14*2π)/19814 weeks
15-.08407 .16649 (15*2π)/19813 weeks
16-.01891 .33831 (16*2π)/19812 weeks
17.57557 .34154 (17*2π)/19812 weeks
18.06391 .34926 (18*2π)/19811 weeks
19.23752 -.03177 (19*2π)/19810 weeks
20.003 -.01603 (20*2π)/19810 weeks
21.06129 .05833 (21*2π)/1989 weeks
22-.16921 .14665 (22*2π)/1989 weeks
23-.03607 .40912 (23*2π)/1989 weeks
24.08353 .04691 (24*2π)/1988 weeks
25.14684 .26864 (25*2π)/1988 weeks
26.01318 .19327 (26*2π)/1988 weeks
27.048 .12405 (27*2π)/1987 weeks
28.18664 .23315 (28*2π)/1987 weeks
29.07021 .28348 (29*2π)/1987 weeks
30.14859 .00656 (30*2π)/1987 weeks
31.00177 -.00948 (31*2π)/1986 weeks
32.0865 .31585 (32*2π)/1986 weeks
33.0979 .28583 (33*2π)/1986 weeks
34-.03866 .01381 (34*2π)/1986 weeks
35.02411 .04335 (35*2π)/1986 weeks
36.25024 .25888 (36*2π)/1986 weeks
37.0423 .10804 (37*2π)/1985 weeks
38-.01427 .14153 (38*2π)/1985 weeks
39.13316 .15697 (39*2π)/1985 weeks
40-.07443 -.00307 (40*2π)/1985 weeks
41.10715 .10692 (41*2π)/1985 weeks
42-.01092 .21005 (42*2π)/1985 weeks
43.1241 .14425 (43*2π)/1985 weeks
44-.14917 .14369 (44*2π)/1985 weeks
45.04564 .15792 (45*2π)/1984 weeks
46.00838 -.0215 (46*2π)/1984 weeks
47.05791 .25029 (47*2π)/1984 weeks
48.21757 .17804 (48*2π)/1984 weeks
49-.06337 .05454 (49*2π)/1984 weeks
50.1286 .16817 (50*2π)/1984 weeks
51-.04996 -.11416 (51*2π)/1984 weeks
52.05659 .03231 (52*2π)/1984 weeks
53-.08144 .07878 (53*2π)/1984 weeks
54.04821 .12497 (54*2π)/1984 weeks
55.12021 .00608 (55*2π)/1984 weeks
56-.01462 .03203 (56*2π)/1984 weeks
57.15441 -.03844 (57*2π)/1983 weeks
58.09208 .13448 (58*2π)/1983 weeks
59.00363 .03114 (59*2π)/1983 weeks
60.10873 .03655 (60*2π)/1983 weeks
61.0485 -.02623 (61*2π)/1983 weeks
62-.09975 -.09116 (62*2π)/1983 weeks
63-.03169 .19609 (63*2π)/1983 weeks
64-.05271 -.0409 (64*2π)/1983 weeks
65.08031 .05451 (65*2π)/1983 weeks
66.04604 -.00284 (66*2π)/1983 weeks
67-.01499 .06179 (67*2π)/1983 weeks
68.02447 .0044 (68*2π)/1983 weeks
69.08745 -.00618 (69*2π)/1983 weeks
70.01893 .05395 (70*2π)/1983 weeks
71.0816 .03734 (71*2π)/1983 weeks
72.019 .00649 (72*2π)/1983 weeks
73.11145 -.06301 (73*2π)/1983 weeks
74.07943 .02159 (74*2π)/1983 weeks
75.01583 .07316 (75*2π)/1983 weeks
76.14101 .03426 (76*2π)/1983 weeks
77.01024 .10782 (77*2π)/1983 weeks
78-.02381 .03138 (78*2π)/1983 weeks
79.06825 .0774 (79*2π)/1983 weeks
80.12939 -.01553 (80*2π)/1982 weeks
81.07694 .0594 (81*2π)/1982 weeks
82.04571 -.00259 (82*2π)/1982 weeks
83-.01965 .02836 (83*2π)/1982 weeks
84.07839 -.04727 (84*2π)/1982 weeks
85.05281 .04319 (85*2π)/1982 weeks
86.12561 .04391 (86*2π)/1982 weeks
87.0432 -.0489 (87*2π)/1982 weeks
88-.08791 .10661 (88*2π)/1982 weeks
89.10814 .06464 (89*2π)/1982 weeks
90.02259 .07742 (90*2π)/1982 weeks
91.07805 -.0155 (91*2π)/1982 weeks
92.10414 -.09933 (92*2π)/1982 weeks
93-.00733 -.01571 (93*2π)/1982 weeks
94.07037 .03201 (94*2π)/1982 weeks
95.05246 .0746 (95*2π)/1982 weeks
96-.00408 .00009 (96*2π)/1982 weeks
97-.01708 .02023 (97*2π)/1982 weeks
98.08047 .01515 (98*2π)/1982 weeks
99-.00596   (99*2π)/1982 weeks
100.08047 -.01515 (100*2π)/1982 weeks
101-.01708 -.02023 (101*2π)/1982 weeks
102-.00408 -.00009 (102*2π)/1982 weeks
103.05246 -.0746 (103*2π)/1982 weeks
104.07037 -.03201 (104*2π)/1982 weeks
105-.00733 .01571 (105*2π)/1982 weeks
106.10414 .09933 (106*2π)/1982 weeks
107.07805 .0155 (107*2π)/1982 weeks
108.02259 -.07742 (108*2π)/1982 weeks
109.10814 -.06464 (109*2π)/1982 weeks
110-.08791 -.10661 (110*2π)/1982 weeks
111.0432 .0489 (111*2π)/1982 weeks
112.12561 -.04391 (112*2π)/1982 weeks
113.05281 -.04319 (113*2π)/1982 weeks
114.07839 .04727 (114*2π)/1982 weeks
115-.01965 -.02836 (115*2π)/1982 weeks
116.04571 .00259 (116*2π)/1982 weeks
117.07694 -.0594 (117*2π)/1982 weeks
118.12939 .01553 (118*2π)/1982 weeks
119.06825 -.0774 (119*2π)/1982 weeks
120-.02381 -.03138 (120*2π)/1982 weeks
121.01024 -.10782 (121*2π)/1982 weeks
122.14101 -.03426 (122*2π)/1982 weeks
123.01583 -.07316 (123*2π)/1982 weeks
124.07943 -.02159 (124*2π)/1982 weeks
125.11145 .06301 (125*2π)/1982 weeks
126.019 -.00649 (126*2π)/1982 weeks
127.0816 -.03734 (127*2π)/1982 weeks
128.01893 -.05395 (128*2π)/1982 weeks
129.08745 .00618 (129*2π)/1982 weeks
130.02447 -.0044 (130*2π)/1982 weeks
131-.01499 -.06179 (131*2π)/1982 weeks
132.04604 .00284 (132*2π)/1982 weeks
133.08031 -.05451 (133*2π)/1981 weeks
134-.05271 .0409 (134*2π)/1981 weeks
135-.03169 -.19609 (135*2π)/1981 weeks
136-.09975 .09116 (136*2π)/1981 weeks
137.0485 .02623 (137*2π)/1981 weeks
138.10873 -.03655 (138*2π)/1981 weeks
139.00363 -.03114 (139*2π)/1981 weeks
140.09208 -.13448 (140*2π)/1981 weeks
141.15441 .03844 (141*2π)/1981 weeks
142-.01462 -.03203 (142*2π)/1981 weeks
143.12021 -.00608 (143*2π)/1981 weeks
144.04821 -.12497 (144*2π)/1981 weeks
145-.08144 -.07878 (145*2π)/1981 weeks
146.05659 -.03231 (146*2π)/1981 weeks
147-.04996 .11416 (147*2π)/1981 weeks
148.1286 -.16817 (148*2π)/1981 weeks
149-.06337 -.05454 (149*2π)/1981 weeks
150.21757 -.17804 (150*2π)/1981 weeks
151.05791 -.25029 (151*2π)/1981 weeks
152.00838 .0215 (152*2π)/1981 weeks
153.04564 -.15792 (153*2π)/1981 weeks
154-.14917 -.14369 (154*2π)/1981 weeks
155.1241 -.14425 (155*2π)/1981 weeks
156-.01092 -.21005 (156*2π)/1981 weeks
157.10715 -.10692 (157*2π)/1981 weeks
158-.07443 .00307 (158*2π)/1981 weeks
159.13316 -.15697 (159*2π)/1981 weeks
160-.01427 -.14153 (160*2π)/1981 weeks
161.0423 -.10804 (161*2π)/1981 weeks
162.25024 -.25888 (162*2π)/1981 weeks
163.02411 -.04335 (163*2π)/1981 weeks
164-.03866 -.01381 (164*2π)/1981 weeks
165.0979 -.28583 (165*2π)/1981 weeks
166.0865 -.31585 (166*2π)/1981 weeks
167.00177 .00948 (167*2π)/1981 weeks
168.14859 -.00656 (168*2π)/1981 weeks
169.07021 -.28348 (169*2π)/1981 weeks
170.18664 -.23315 (170*2π)/1981 weeks
171.048 -.12405 (171*2π)/1981 weeks
172.01318 -.19327 (172*2π)/1981 weeks
173.14684 -.26864 (173*2π)/1981 weeks
174.08353 -.04691 (174*2π)/1981 weeks
175-.03607 -.40912 (175*2π)/1981 weeks
176-.16921 -.14665 (176*2π)/1981 weeks
177.06129 -.05833 (177*2π)/1981 weeks
178.003 .01603 (178*2π)/1981 weeks
179.23752 .03177 (179*2π)/1981 weeks
180.06391 -.34926 (180*2π)/1981 weeks
181.57557 -.34154 (181*2π)/1981 weeks
182-.01891 -.33831 (182*2π)/1981 weeks
183-.08407 -.16649 (183*2π)/1981 weeks
184.05518 -.37979 (184*2π)/1981 weeks
185-.17659 .0355 (185*2π)/1981 weeks
186.1833 -.38874 (186*2π)/1981 weeks
187.01327 -.58911 (187*2π)/1981 weeks
188-.1698 -.39772 (188*2π)/1981 weeks
189.20825 -.46051 (189*2π)/1981 weeks
190.44011 -.19196 (190*2π)/1981 weeks
191.36107 -.6485 (191*2π)/1981 weeks
192.62156 -1.36739 (192*2π)/1981 weeks
193-1.25644 -1.17365 (193*2π)/1981 weeks
194.37974 -1.37858 (194*2π)/1981 weeks
195.72812 -1.11591 (195*2π)/1981 weeks
196-.8259 -1.09994 (196*2π)/1981 weeks



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