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# Fourier Analysis of PCOM (Points International Ltd)

PCOM (Points International Ltd) appears to have interesting cyclic behaviour every 24 weeks (.3902*cosine), 25 weeks (.3493*cosine), and 13 weeks (.2473*cosine).

PCOM (Points International Ltd) has an average price of 12.69 (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 2/10/2011 to 4/16/2018 for PCOM (Points International Ltd), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
012.69345   0
1-4.65932 3.61475 (1*2π)/376376 weeks
21.99685 -3.45454 (2*2π)/376188 weeks
3.71632 1.74918 (3*2π)/376125 weeks
4-.67235 -1.38154 (4*2π)/37694 weeks
5.79747 -.04717 (5*2π)/37675 weeks
6-.02969 -.26719 (6*2π)/37663 weeks
7-.14536 .82716 (7*2π)/37654 weeks
8-.3347 -.27154 (8*2π)/37647 weeks
9-.02656 -.39704 (9*2π)/37642 weeks
10-.0105 .10282 (10*2π)/37638 weeks
11-.17313 .14157 (11*2π)/37634 weeks
12.1571 .11963 (12*2π)/37631 weeks
13-.17609 .07958 (13*2π)/37629 weeks
14-.04551 .13199 (14*2π)/37627 weeks
15.34934 .11733 (15*2π)/37625 weeks
16-.39021 -.22408 (16*2π)/37624 weeks
17.20173 -.09048 (17*2π)/37622 weeks
18-.09606 -.31705 (18*2π)/37621 weeks
19.08 -.12398 (19*2π)/37620 weeks
20-.10285 .07673 (20*2π)/37619 weeks
21-.0781 .10258 (21*2π)/37618 weeks
22.01995 .17932 (22*2π)/37617 weeks
23.14561 -.25021 (23*2π)/37616 weeks
24.17532 .26295 (24*2π)/37616 weeks
25-.09406 -.08752 (25*2π)/37615 weeks
26-.02332 .02461 (26*2π)/37614 weeks
27-.06839 .00275 (27*2π)/37614 weeks
28.24728 .06915 (28*2π)/37613 weeks
29-.19272 -.11077 (29*2π)/37613 weeks
30.21306 -.12724 (30*2π)/37613 weeks
31.04165 .15594 (31*2π)/37612 weeks
32.00246 -.07247 (32*2π)/37612 weeks
33.11898 .02243 (33*2π)/37611 weeks
34.02521 -.01047 (34*2π)/37611 weeks
35.0309 -.07082 (35*2π)/37611 weeks
36.24365 .09781 (36*2π)/37610 weeks
37-.03188 .05716 (37*2π)/37610 weeks
38.02901 -.04745 (38*2π)/37610 weeks
39-.00749 -.03442 (39*2π)/37610 weeks
40-.00156 .01763 (40*2π)/3769 weeks
41-.09712 -.07981 (41*2π)/3769 weeks
42.09613 .1098 (42*2π)/3769 weeks
43-.13922 -.01289 (43*2π)/3769 weeks
44-.02814 -.05941 (44*2π)/3769 weeks
45.06534 .14581 (45*2π)/3768 weeks
46-.081 -.04668 (46*2π)/3768 weeks
47.05068 .09629 (47*2π)/3768 weeks
48.002 .04729 (48*2π)/3768 weeks
49-.03151 .088 (49*2π)/3768 weeks
50.07902 .09618 (50*2π)/3768 weeks
51-.15719 -.06003 (51*2π)/3767 weeks
52.18559 .02972 (52*2π)/3767 weeks
53-.12329 .07644 (53*2π)/3767 weeks
54.05539 -.10331 (54*2π)/3767 weeks
55.01387 .03713 (55*2π)/3767 weeks
56-.06089 -.0216 (56*2π)/3767 weeks
57.0278 .0013 (57*2π)/3767 weeks
58-.03267 -.04667 (58*2π)/3766 weeks
59.08123 -.07599 (59*2π)/3766 weeks
60-.05457 .15936 (60*2π)/3766 weeks
61-.04208 -.11638 (61*2π)/3766 weeks
62.11956 .05913 (62*2π)/3766 weeks
63-.05283 -.05024 (63*2π)/3766 weeks
64.04633 -.09889 (64*2π)/3766 weeks
65-.0148 .02928 (65*2π)/3766 weeks
66-.03453 .01993 (66*2π)/3766 weeks
67.03541 -.08613 (67*2π)/3766 weeks
68-.08392 .06822 (68*2π)/3766 weeks
69.02485 -.04273 (69*2π)/3765 weeks
70-.01097 -.05888 (70*2π)/3765 weeks
71.01091 .01498 (71*2π)/3765 weeks
72.07203 .00222 (72*2π)/3765 weeks
73-.06065 -.02172 (73*2π)/3765 weeks
74.06917 .02663 (74*2π)/3765 weeks
75-.0632 -.0377 (75*2π)/3765 weeks
76.02833 .03704 (76*2π)/3765 weeks
77-.07129 -.01459 (77*2π)/3765 weeks
78.08898 .00298 (78*2π)/3765 weeks
79.00323 .02441 (79*2π)/3765 weeks
80.03393 -.00479 (80*2π)/3765 weeks
81.06496 .0275 (81*2π)/3765 weeks
82-.0841 -.03542 (82*2π)/3765 weeks
83.08669 -.00263 (83*2π)/3765 weeks
84-.00601 .1006 (84*2π)/3764 weeks
85-.06327 -.09618 (85*2π)/3764 weeks
86.00507 .04466 (86*2π)/3764 weeks
87.0478 -.05163 (87*2π)/3764 weeks
88-.00392 .00617 (88*2π)/3764 weeks
89-.04269 .00565 (89*2π)/3764 weeks
90-.01215 -.00945 (90*2π)/3764 weeks
91.0331 -.02318 (91*2π)/3764 weeks
92-.05448 .00687 (92*2π)/3764 weeks
93.03807 -.02485 (93*2π)/3764 weeks
94-.03824 .00054 (94*2π)/3764 weeks
95-.04259 .0239 (95*2π)/3764 weeks
96-.00943 -.02432 (96*2π)/3764 weeks
97.04139 .00278 (97*2π)/3764 weeks
98-.0845 -.0029 (98*2π)/3764 weeks
99.01174 .01804 (99*2π)/3764 weeks
100-.03689 -.00548 (100*2π)/3764 weeks
101.01799 .03863 (101*2π)/3764 weeks
102-.04137 .00832 (102*2π)/3764 weeks
103.01527 -.04009 (103*2π)/3764 weeks
104-.02155 .05112 (104*2π)/3764 weeks
105.02608 -.02952 (105*2π)/3764 weeks
106.01109 -.00716 (106*2π)/3764 weeks
107-.03547 -.05818 (107*2π)/3764 weeks
108.0433 .02922 (108*2π)/3763 weeks
109-.02668 -.03756 (109*2π)/3763 weeks
110-.0346 .04676 (110*2π)/3763 weeks
111.01144 -.0457 (111*2π)/3763 weeks
112-.01355 .05973 (112*2π)/3763 weeks
113-.02003 -.02974 (113*2π)/3763 weeks
114.03849 .02255 (114*2π)/3763 weeks
115-.01272 -.01447 (115*2π)/3763 weeks
116.03607 -.03893 (116*2π)/3763 weeks
117.03838 -.00703 (117*2π)/3763 weeks
118-.05077 -.00086 (118*2π)/3763 weeks
119.07568 .05316 (119*2π)/3763 weeks
120-.06493 -.05357 (120*2π)/3763 weeks
121.05573 .01929 (121*2π)/3763 weeks
122-.05116 -.0132 (122*2π)/3763 weeks
123-.00057 .01935 (123*2π)/3763 weeks
124.03648 .01098 (124*2π)/3763 weeks
125-.01683 .02648 (125*2π)/3763 weeks
126.03127 .01863 (126*2π)/3763 weeks
127.00365 .00079 (127*2π)/3763 weeks
128.06229 .02196 (128*2π)/3763 weeks
129-.01711 -.01029 (129*2π)/3763 weeks
130.01074 -.01693 (130*2π)/3763 weeks
131.03691 -.00395 (131*2π)/3763 weeks
132-.03053 .04013 (132*2π)/3763 weeks
133-.01044 .01678 (133*2π)/3763 weeks
134.01301 .054 (134*2π)/3763 weeks
135-.01998 -.02966 (135*2π)/3763 weeks
136.05452 .02797 (136*2π)/3763 weeks
137-.03226 .01026 (137*2π)/3763 weeks
138.02119 .04371 (138*2π)/3763 weeks
139-.037 -.02446 (139*2π)/3763 weeks
140.07363 .00116 (140*2π)/3763 weeks
141-.04632 .01612 (141*2π)/3763 weeks
142.0238 -.0926 (142*2π)/3763 weeks
143-.00019 .03973 (143*2π)/3763 weeks
144-.06895 -.00766 (144*2π)/3763 weeks
145.05006 .00633 (145*2π)/3763 weeks
146-.03304 .00406 (146*2π)/3763 weeks
147.01601 .00325 (147*2π)/3763 weeks
148-.0058 -.01277 (148*2π)/3763 weeks
149-.00603 -.04521 (149*2π)/3763 weeks
150.03575 .04031 (150*2π)/3763 weeks
151-.08626 -.03509 (151*2π)/3762 weeks
152.01142 .00623 (152*2π)/3762 weeks
153-.00432 .00053 (153*2π)/3762 weeks
154-.02052 -.00637 (154*2π)/3762 weeks
155.01443 .03717 (155*2π)/3762 weeks
156.00443 -.06481 (156*2π)/3762 weeks
157-.0116 .06009 (157*2π)/3762 weeks
158-.04265 -.06166 (158*2π)/3762 weeks
159.02316 -.0212 (159*2π)/3762 weeks
160-.01682 .03199 (160*2π)/3762 weeks
161.0225 .0123 (161*2π)/3762 weeks
162-.03265 .00006 (162*2π)/3762 weeks
163.04016 .02209 (163*2π)/3762 weeks
164-.0438 -.03475 (164*2π)/3762 weeks
165.01051 .02495 (165*2π)/3762 weeks
166-.0211 -.03247 (166*2π)/3762 weeks
167-.01999 -.00263 (167*2π)/3762 weeks
168.01886 .03179 (168*2π)/3762 weeks
169.01845 -.01444 (169*2π)/3762 weeks
170-.01839 .001 (170*2π)/3762 weeks
171.03275 .00446 (171*2π)/3762 weeks
172-.01929 -.01382 (172*2π)/3762 weeks
173.02208 -.03035 (173*2π)/3762 weeks
174.03579 .03515 (174*2π)/3762 weeks
175-.06542 -.04619 (175*2π)/3762 weeks
176.02288 .01185 (176*2π)/3762 weeks
177-.01976 -.00676 (177*2π)/3762 weeks
178.02677 -.00558 (178*2π)/3762 weeks
179-.00004 .01049 (179*2π)/3762 weeks
180.00195 -.0141 (180*2π)/3762 weeks
181-.00068 .0074 (181*2π)/3762 weeks
182-.0479 .00234 (182*2π)/3762 weeks
183.04933 -.01133 (183*2π)/3762 weeks
184.011 -.0049 (184*2π)/3762 weeks
185-.01231 -.02225 (185*2π)/3762 weeks
186-.00042 .02764 (186*2π)/3762 weeks
187-.0578 .00366 (187*2π)/3762 weeks
188.01659   (188*2π)/3762 weeks
189-.0578 -.00366 (189*2π)/3762 weeks
190-.00042 -.02764 (190*2π)/3762 weeks
191-.01231 .02225 (191*2π)/3762 weeks
192.011 .0049 (192*2π)/3762 weeks
193.04933 .01133 (193*2π)/3762 weeks
194-.0479 -.00234 (194*2π)/3762 weeks
195-.00068 -.0074 (195*2π)/3762 weeks
196.00195 .0141 (196*2π)/3762 weeks
197-.00004 -.01049 (197*2π)/3762 weeks
198.02677 .00558 (198*2π)/3762 weeks
199-.01976 .00676 (199*2π)/3762 weeks
200.02288 -.01185 (200*2π)/3762 weeks
201-.06542 .04619 (201*2π)/3762 weeks
202.03579 -.03515 (202*2π)/3762 weeks
203.02208 .03035 (203*2π)/3762 weeks
204-.01929 .01382 (204*2π)/3762 weeks
205.03275 -.00446 (205*2π)/3762 weeks
206-.01839 -.001 (206*2π)/3762 weeks
207.01845 .01444 (207*2π)/3762 weeks
208.01886 -.03179 (208*2π)/3762 weeks
209-.01999 .00263 (209*2π)/3762 weeks
210-.0211 .03247 (210*2π)/3762 weeks
211.01051 -.02495 (211*2π)/3762 weeks
212-.0438 .03475 (212*2π)/3762 weeks
213.04016 -.02209 (213*2π)/3762 weeks
214-.03265 -.00006 (214*2π)/3762 weeks
215.0225 -.0123 (215*2π)/3762 weeks
216-.01682 -.03199 (216*2π)/3762 weeks
217.02316 .0212 (217*2π)/3762 weeks
218-.04265 .06166 (218*2π)/3762 weeks
219-.0116 -.06009 (219*2π)/3762 weeks
220.00443 .06481 (220*2π)/3762 weeks
221.01443 -.03717 (221*2π)/3762 weeks
222-.02052 .00637 (222*2π)/3762 weeks
223-.00432 -.00053 (223*2π)/3762 weeks
224.01142 -.00623 (224*2π)/3762 weeks
225-.08626 .03509 (225*2π)/3762 weeks
226.03575 -.04031 (226*2π)/3762 weeks
227-.00603 .04521 (227*2π)/3762 weeks
228-.0058 .01277 (228*2π)/3762 weeks
229.01601 -.00325 (229*2π)/3762 weeks
230-.03304 -.00406 (230*2π)/3762 weeks
231.05006 -.00633 (231*2π)/3762 weeks
232-.06895 .00766 (232*2π)/3762 weeks
233-.00019 -.03973 (233*2π)/3762 weeks
234.0238 .0926 (234*2π)/3762 weeks
235-.04632 -.01612 (235*2π)/3762 weeks
236.07363 -.00116 (236*2π)/3762 weeks
237-.037 .02446 (237*2π)/3762 weeks
238.02119 -.04371 (238*2π)/3762 weeks
239-.03226 -.01026 (239*2π)/3762 weeks
240.05452 -.02797 (240*2π)/3762 weeks
241-.01998 .02966 (241*2π)/3762 weeks
242.01301 -.054 (242*2π)/3762 weeks
243-.01044 -.01678 (243*2π)/3762 weeks
244-.03053 -.04013 (244*2π)/3762 weeks
245.03691 .00395 (245*2π)/3762 weeks
246.01074 .01693 (246*2π)/3762 weeks
247-.01711 .01029 (247*2π)/3762 weeks
248.06229 -.02196 (248*2π)/3762 weeks
249.00365 -.00079 (249*2π)/3762 weeks
250.03127 -.01863 (250*2π)/3762 weeks
251-.01683 -.02648 (251*2π)/3761 weeks
252.03648 -.01098 (252*2π)/3761 weeks
253-.00057 -.01935 (253*2π)/3761 weeks
254-.05116 .0132 (254*2π)/3761 weeks
255.05573 -.01929 (255*2π)/3761 weeks
256-.06493 .05357 (256*2π)/3761 weeks
257.07568 -.05316 (257*2π)/3761 weeks
258-.05077 .00086 (258*2π)/3761 weeks
259.03838 .00703 (259*2π)/3761 weeks
260.03607 .03893 (260*2π)/3761 weeks
261-.01272 .01447 (261*2π)/3761 weeks
262.03849 -.02255 (262*2π)/3761 weeks
263-.02003 .02974 (263*2π)/3761 weeks
264-.01355 -.05973 (264*2π)/3761 weeks
265.01144 .0457 (265*2π)/3761 weeks
266-.0346 -.04676 (266*2π)/3761 weeks
267-.02668 .03756 (267*2π)/3761 weeks
268.0433 -.02922 (268*2π)/3761 weeks
269-.03547 .05818 (269*2π)/3761 weeks
270.01109 .00716 (270*2π)/3761 weeks
271.02608 .02952 (271*2π)/3761 weeks
272-.02155 -.05112 (272*2π)/3761 weeks
273.01527 .04009 (273*2π)/3761 weeks
274-.04137 -.00832 (274*2π)/3761 weeks
275.01799 -.03863 (275*2π)/3761 weeks
276-.03689 .00548 (276*2π)/3761 weeks
277.01174 -.01804 (277*2π)/3761 weeks
278-.0845 .0029 (278*2π)/3761 weeks
279.04139 -.00278 (279*2π)/3761 weeks
280-.00943 .02432 (280*2π)/3761 weeks
281-.04259 -.0239 (281*2π)/3761 weeks
282-.03824 -.00054 (282*2π)/3761 weeks
283.03807 .02485 (283*2π)/3761 weeks
284-.05448 -.00687 (284*2π)/3761 weeks
285.0331 .02318 (285*2π)/3761 weeks
286-.01215 .00945 (286*2π)/3761 weeks
287-.04269 -.00565 (287*2π)/3761 weeks
288-.00392 -.00617 (288*2π)/3761 weeks
289.0478 .05163 (289*2π)/3761 weeks
290.00507 -.04466 (290*2π)/3761 weeks
291-.06327 .09618 (291*2π)/3761 weeks
292-.00601 -.1006 (292*2π)/3761 weeks
293.08669 .00263 (293*2π)/3761 weeks
294-.0841 .03542 (294*2π)/3761 weeks
295.06496 -.0275 (295*2π)/3761 weeks
296.03393 .00479 (296*2π)/3761 weeks
297.00323 -.02441 (297*2π)/3761 weeks
298.08898 -.00298 (298*2π)/3761 weeks
299-.07129 .01459 (299*2π)/3761 weeks
300.02833 -.03704 (300*2π)/3761 weeks
301-.0632 .0377 (301*2π)/3761 weeks
302.06917 -.02663 (302*2π)/3761 weeks
303-.06065 .02172 (303*2π)/3761 weeks
304.07203 -.00222 (304*2π)/3761 weeks
305.01091 -.01498 (305*2π)/3761 weeks
306-.01097 .05888 (306*2π)/3761 weeks
307.02485 .04273 (307*2π)/3761 weeks
308-.08392 -.06822 (308*2π)/3761 weeks
309.03541 .08613 (309*2π)/3761 weeks
310-.03453 -.01993 (310*2π)/3761 weeks
311-.0148 -.02928 (311*2π)/3761 weeks
312.04633 .09889 (312*2π)/3761 weeks
313-.05283 .05024 (313*2π)/3761 weeks
314.11956 -.05913 (314*2π)/3761 weeks
315-.04208 .11638 (315*2π)/3761 weeks
316-.05457 -.15936 (316*2π)/3761 weeks
317.08123 .07599 (317*2π)/3761 weeks
318-.03267 .04667 (318*2π)/3761 weeks
319.0278 -.0013 (319*2π)/3761 weeks
320-.06089 .0216 (320*2π)/3761 weeks
321.01387 -.03713 (321*2π)/3761 weeks
322.05539 .10331 (322*2π)/3761 weeks
323-.12329 -.07644 (323*2π)/3761 weeks
324.18559 -.02972 (324*2π)/3761 weeks
325-.15719 .06003 (325*2π)/3761 weeks
326.07902 -.09618 (326*2π)/3761 weeks
327-.03151 -.088 (327*2π)/3761 weeks
328.002 -.04729 (328*2π)/3761 weeks
329.05068 -.09629 (329*2π)/3761 weeks
330-.081 .04668 (330*2π)/3761 weeks
331.06534 -.14581 (331*2π)/3761 weeks
332-.02814 .05941 (332*2π)/3761 weeks
333-.13922 .01289 (333*2π)/3761 weeks
334.09613 -.1098 (334*2π)/3761 weeks
335-.09712 .07981 (335*2π)/3761 weeks
336-.00156 -.01763 (336*2π)/3761 weeks
337-.00749 .03442 (337*2π)/3761 weeks
338.02901 .04745 (338*2π)/3761 weeks
339-.03188 -.05716 (339*2π)/3761 weeks
340.24365 -.09781 (340*2π)/3761 weeks
341.0309 .07082 (341*2π)/3761 weeks
342.02521 .01047 (342*2π)/3761 weeks
343.11898 -.02243 (343*2π)/3761 weeks
344.00246 .07247 (344*2π)/3761 weeks
345.04165 -.15594 (345*2π)/3761 weeks
346.21306 .12724 (346*2π)/3761 weeks
347-.19272 .11077 (347*2π)/3761 weeks
348.24728 -.06915 (348*2π)/3761 weeks
349-.06839 -.00275 (349*2π)/3761 weeks
350-.02332 -.02461 (350*2π)/3761 weeks
351-.09406 .08752 (351*2π)/3761 weeks
352.17532 -.26295 (352*2π)/3761 weeks
353.14561 .25021 (353*2π)/3761 weeks
354.01995 -.17932 (354*2π)/3761 weeks
355-.0781 -.10258 (355*2π)/3761 weeks
356-.10285 -.07673 (356*2π)/3761 weeks
357.08 .12398 (357*2π)/3761 weeks
358-.09606 .31705 (358*2π)/3761 weeks
359.20173 .09048 (359*2π)/3761 weeks
360-.39021 .22408 (360*2π)/3761 weeks
361.34934 -.11733 (361*2π)/3761 weeks
362-.04551 -.13199 (362*2π)/3761 weeks
363-.17609 -.07958 (363*2π)/3761 weeks
364.1571 -.11963 (364*2π)/3761 weeks
365-.17313 -.14157 (365*2π)/3761 weeks
366-.0105 -.10282 (366*2π)/3761 weeks
367-.02656 .39704 (367*2π)/3761 weeks
368-.3347 .27154 (368*2π)/3761 weeks
369-.14536 -.82716 (369*2π)/3761 weeks
370-.02969 .26719 (370*2π)/3761 weeks
371.79747 .04717 (371*2π)/3761 weeks
372-.67235 1.38154 (372*2π)/3761 weeks
373.71632 -1.74918 (373*2π)/3761 weeks
3741.99685 3.45454 (374*2π)/3761 weeks