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Fourier Analysis of I (Intelsat S.A.)


I (Intelsat S.A.) appears to have interesting cyclic behaviour every 17 weeks (.6762*sine), 20 weeks (.5593*sine), and 18 weeks (.458*sine).

I (Intelsat S.A.) has an average price of 11.05 (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 4/18/2013 to 11/6/2017 for I (Intelsat S.A.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
011.0528   0 
12.30646 9.66442 (1*2π)/239239 weeks
2.23659 2.05063 (2*2π)/239120 weeks
3.10822 2.47589 (3*2π)/23980 weeks
4-.0454 1.73158 (4*2π)/23960 weeks
5-.20511 .87163 (5*2π)/23948 weeks
6.3793 1.08041 (6*2π)/23940 weeks
7-.05045 .39619 (7*2π)/23934 weeks
8.20921 .62049 (8*2π)/23930 weeks
9-.08527 .55682 (9*2π)/23927 weeks
10-.16559 .11362 (10*2π)/23924 weeks
11.20946 .30127 (11*2π)/23922 weeks
12.24761 .55927 (12*2π)/23920 weeks
13.2194 .45802 (13*2π)/23918 weeks
14-.04388 .6762 (14*2π)/23917 weeks
15.00758 .23066 (15*2π)/23916 weeks
16-.12953 .40344 (16*2π)/23915 weeks
17-.20195 .22449 (17*2π)/23914 weeks
18.10438 .43477 (18*2π)/23913 weeks
19-.18626 .28544 (19*2π)/23913 weeks
20-.03843 .16625 (20*2π)/23912 weeks
21.10904 .26426 (21*2π)/23911 weeks
22-.21235 .39931 (22*2π)/23911 weeks
23-.00176 .23558 (23*2π)/23910 weeks
24-.24992 .3032 (24*2π)/23910 weeks
25-.14494 -.00976 (25*2π)/23910 weeks
26-.13543 .11908 (26*2π)/2399 weeks
27-.02505 .09971 (27*2π)/2399 weeks
28-.04972 .16903 (28*2π)/2399 weeks
29.05067 .01361 (29*2π)/2398 weeks
30.14598 .12969 (30*2π)/2398 weeks
31-.00882 .19309 (31*2π)/2398 weeks
32.06478 .0411 (32*2π)/2397 weeks
33.12668 .16888 (33*2π)/2397 weeks
34.06213 .17012 (34*2π)/2397 weeks
35.01383 .06846 (35*2π)/2397 weeks
36.11478 .21332 (36*2π)/2397 weeks
37.04634 .02657 (37*2π)/2396 weeks
38.27119 .11594 (38*2π)/2396 weeks
39.11674 .10068 (39*2π)/2396 weeks
40.06799 .14361 (40*2π)/2396 weeks
41.08407 .15989 (41*2π)/2396 weeks
42.11622 .00797 (42*2π)/2396 weeks
43.16751 .16026 (43*2π)/2396 weeks
44.21573 .08672 (44*2π)/2395 weeks
45.19264 .12223 (45*2π)/2395 weeks
46.12402 .31096 (46*2π)/2395 weeks
47.04005 .10216 (47*2π)/2395 weeks
48.14898 .12705 (48*2π)/2395 weeks
49.04727 .11738 (49*2π)/2395 weeks
50.06903 .08763 (50*2π)/2395 weeks
51.1212 .06531 (51*2π)/2395 weeks
52.07368 .10293 (52*2π)/2395 weeks
53.13165 .02345 (53*2π)/2395 weeks
54.1414 .12806 (54*2π)/2394 weeks
55.10054 .1004 (55*2π)/2394 weeks
56.08831 .1034 (56*2π)/2394 weeks
57.07675 .04831 (57*2π)/2394 weeks
58.09356 .07299 (58*2π)/2394 weeks
59-.00252 .04045 (59*2π)/2394 weeks
60.09397 .00738 (60*2π)/2394 weeks
61.13809 .05584 (61*2π)/2394 weeks
62.12494 .05964 (62*2π)/2394 weeks
63.16209 .11265 (63*2π)/2394 weeks
64.00256 .11542 (64*2π)/2394 weeks
65.05256 .03151 (65*2π)/2394 weeks
66.03801 .08222 (66*2π)/2394 weeks
67.00078 .05243 (67*2π)/2394 weeks
68.09721 .05468 (68*2π)/2394 weeks
69.01851 .09326 (69*2π)/2393 weeks
70.05442 -.01023 (70*2π)/2393 weeks
71.06789 .04187 (71*2π)/2393 weeks
72.04161 .03443 (72*2π)/2393 weeks
73.07456 .0671 (73*2π)/2393 weeks
74.09203 .12939 (74*2π)/2393 weeks
75-.03021 .03723 (75*2π)/2393 weeks
76.15879 .0044 (76*2π)/2393 weeks
77.04367 .02054 (77*2π)/2393 weeks
78.14299 .03671 (78*2π)/2393 weeks
79.09295 .06846 (79*2π)/2393 weeks
80.09443 .07891 (80*2π)/2393 weeks
81.0607 .0832 (81*2π)/2393 weeks
82.06444 .04425 (82*2π)/2393 weeks
83.07388 .03434 (83*2π)/2393 weeks
84.02452 .0817 (84*2π)/2393 weeks
85.02548 .0346 (85*2π)/2393 weeks
86.07837 .02443 (86*2π)/2393 weeks
87.04099 .01023 (87*2π)/2393 weeks
88.05287 -.03154 (88*2π)/2393 weeks
89.06582 .0358 (89*2π)/2393 weeks
90.07753 -.02429 (90*2π)/2393 weeks
91.08677 .04649 (91*2π)/2393 weeks
92.05422 .00165 (92*2π)/2393 weeks
93.05776 .02151 (93*2π)/2393 weeks
94.06375 .02367 (94*2π)/2393 weeks
95.06895 -.01108 (95*2π)/2393 weeks
96.08154 .03337 (96*2π)/2392 weeks
97.03567 .02104 (97*2π)/2392 weeks
98.08387 .02149 (98*2π)/2392 weeks
99.01644 .08477 (99*2π)/2392 weeks
100.03506 -.01041 (100*2π)/2392 weeks
101.05379 .00519 (101*2π)/2392 weeks
102.05248 .02863 (102*2π)/2392 weeks
103.03871 .00507 (103*2π)/2392 weeks
104.05522 .03008 (104*2π)/2392 weeks
105.02568 .00196 (105*2π)/2392 weeks
106.05919 -.0072 (106*2π)/2392 weeks
107.08743 -.02905 (107*2π)/2392 weeks
108.09268 .01631 (108*2π)/2392 weeks
109.04812 .01826 (109*2π)/2392 weeks
110.10822 .00206 (110*2π)/2392 weeks
111.09062 .04498 (111*2π)/2392 weeks
112.04647 .02154 (112*2π)/2392 weeks
113.1282 .01096 (113*2π)/2392 weeks
114.05138 .05706 (114*2π)/2392 weeks
115.01437 .02505 (115*2π)/2392 weeks
116.07567 -.04502 (116*2π)/2392 weeks
117.06335 .03689 (117*2π)/2392 weeks
118.076 .01636 (118*2π)/2392 weeks
119.05056 .02187 (119*2π)/2392 weeks
120.05056 -.02187 (120*2π)/2392 weeks
121.076 -.01636 (121*2π)/2392 weeks
122.06335 -.03689 (122*2π)/2392 weeks
123.07567 .04502 (123*2π)/2392 weeks
124.01437 -.02505 (124*2π)/2392 weeks
125.05138 -.05706 (125*2π)/2392 weeks
126.1282 -.01096 (126*2π)/2392 weeks
127.04647 -.02154 (127*2π)/2392 weeks
128.09062 -.04498 (128*2π)/2392 weeks
129.10822 -.00206 (129*2π)/2392 weeks
130.04812 -.01826 (130*2π)/2392 weeks
131.09268 -.01631 (131*2π)/2392 weeks
132.08743 .02905 (132*2π)/2392 weeks
133.05919 .0072 (133*2π)/2392 weeks
134.02568 -.00196 (134*2π)/2392 weeks
135.05522 -.03008 (135*2π)/2392 weeks
136.03871 -.00507 (136*2π)/2392 weeks
137.05248 -.02863 (137*2π)/2392 weeks
138.05379 -.00519 (138*2π)/2392 weeks
139.03506 .01041 (139*2π)/2392 weeks
140.01644 -.08477 (140*2π)/2392 weeks
141.08387 -.02149 (141*2π)/2392 weeks
142.03567 -.02104 (142*2π)/2392 weeks
143.08154 -.03337 (143*2π)/2392 weeks
144.06895 .01108 (144*2π)/2392 weeks
145.06375 -.02367 (145*2π)/2392 weeks
146.05776 -.02151 (146*2π)/2392 weeks
147.05422 -.00165 (147*2π)/2392 weeks
148.08677 -.04649 (148*2π)/2392 weeks
149.07753 .02429 (149*2π)/2392 weeks
150.06582 -.0358 (150*2π)/2392 weeks
151.05287 .03154 (151*2π)/2392 weeks
152.04099 -.01023 (152*2π)/2392 weeks
153.07837 -.02443 (153*2π)/2392 weeks
154.02548 -.0346 (154*2π)/2392 weeks
155.02452 -.0817 (155*2π)/2392 weeks
156.07388 -.03434 (156*2π)/2392 weeks
157.06444 -.04425 (157*2π)/2392 weeks
158.0607 -.0832 (158*2π)/2392 weeks
159.09443 -.07891 (159*2π)/2392 weeks
160.09295 -.06846 (160*2π)/2391 weeks
161.14299 -.03671 (161*2π)/2391 weeks
162.04367 -.02054 (162*2π)/2391 weeks
163.15879 -.0044 (163*2π)/2391 weeks
164-.03021 -.03723 (164*2π)/2391 weeks
165.09203 -.12939 (165*2π)/2391 weeks
166.07456 -.0671 (166*2π)/2391 weeks
167.04161 -.03443 (167*2π)/2391 weeks
168.06789 -.04187 (168*2π)/2391 weeks
169.05442 .01023 (169*2π)/2391 weeks
170.01851 -.09326 (170*2π)/2391 weeks
171.09721 -.05468 (171*2π)/2391 weeks
172.00078 -.05243 (172*2π)/2391 weeks
173.03801 -.08222 (173*2π)/2391 weeks
174.05256 -.03151 (174*2π)/2391 weeks
175.00256 -.11542 (175*2π)/2391 weeks
176.16209 -.11265 (176*2π)/2391 weeks
177.12494 -.05964 (177*2π)/2391 weeks
178.13809 -.05584 (178*2π)/2391 weeks
179.09397 -.00738 (179*2π)/2391 weeks
180-.00252 -.04045 (180*2π)/2391 weeks
181.09356 -.07299 (181*2π)/2391 weeks
182.07675 -.04831 (182*2π)/2391 weeks
183.08831 -.1034 (183*2π)/2391 weeks
184.10054 -.1004 (184*2π)/2391 weeks
185.1414 -.12806 (185*2π)/2391 weeks
186.13165 -.02345 (186*2π)/2391 weeks
187.07368 -.10293 (187*2π)/2391 weeks
188.1212 -.06531 (188*2π)/2391 weeks
189.06903 -.08763 (189*2π)/2391 weeks
190.04727 -.11738 (190*2π)/2391 weeks
191.14898 -.12705 (191*2π)/2391 weeks
192.04005 -.10216 (192*2π)/2391 weeks
193.12402 -.31096 (193*2π)/2391 weeks
194.19264 -.12223 (194*2π)/2391 weeks
195.21573 -.08672 (195*2π)/2391 weeks
196.16751 -.16026 (196*2π)/2391 weeks
197.11622 -.00797 (197*2π)/2391 weeks
198.08407 -.15989 (198*2π)/2391 weeks
199.06799 -.14361 (199*2π)/2391 weeks
200.11674 -.10068 (200*2π)/2391 weeks
201.27119 -.11594 (201*2π)/2391 weeks
202.04634 -.02657 (202*2π)/2391 weeks
203.11478 -.21332 (203*2π)/2391 weeks
204.01383 -.06846 (204*2π)/2391 weeks
205.06213 -.17012 (205*2π)/2391 weeks
206.12668 -.16888 (206*2π)/2391 weeks
207.06478 -.0411 (207*2π)/2391 weeks
208-.00882 -.19309 (208*2π)/2391 weeks
209.14598 -.12969 (209*2π)/2391 weeks
210.05067 -.01361 (210*2π)/2391 weeks
211-.04972 -.16903 (211*2π)/2391 weeks
212-.02505 -.09971 (212*2π)/2391 weeks
213-.13543 -.11908 (213*2π)/2391 weeks
214-.14494 .00976 (214*2π)/2391 weeks
215-.24992 -.3032 (215*2π)/2391 weeks
216-.00176 -.23558 (216*2π)/2391 weeks
217-.21235 -.39931 (217*2π)/2391 weeks
218.10904 -.26426 (218*2π)/2391 weeks
219-.03843 -.16625 (219*2π)/2391 weeks
220-.18626 -.28544 (220*2π)/2391 weeks
221.10438 -.43477 (221*2π)/2391 weeks
222-.20195 -.22449 (222*2π)/2391 weeks
223-.12953 -.40344 (223*2π)/2391 weeks
224.00758 -.23066 (224*2π)/2391 weeks
225-.04388 -.6762 (225*2π)/2391 weeks
226.2194 -.45802 (226*2π)/2391 weeks
227.24761 -.55927 (227*2π)/2391 weeks
228.20946 -.30127 (228*2π)/2391 weeks
229-.16559 -.11362 (229*2π)/2391 weeks
230-.08527 -.55682 (230*2π)/2391 weeks
231.20921 -.62049 (231*2π)/2391 weeks
232-.05045 -.39619 (232*2π)/2391 weeks
233.3793 -1.08041 (233*2π)/2391 weeks
234-.20511 -.87163 (234*2π)/2391 weeks
235-.0454 -1.73158 (235*2π)/2391 weeks
236.10822 -2.47589 (236*2π)/2391 weeks
237.23659 -2.05063 (237*2π)/2391 weeks



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