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Fourier Analysis of RENN (Renren Inc)

RENN (Renren Inc) appears to have interesting cyclic behaviour every 36 weeks (2.3342*sine), 21 weeks (1.5481*sine), and 30 weeks (1.3087*sine).

RENN (Renren Inc) has an average price of 17.14 (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 5/4/2011 to 3/19/2018 for RENN (Renren Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
017.14192   0
12.87197 4.82698 (1*2π)/360360 weeks
23.57093 5.3823 (2*2π)/360180 weeks
33.25779 3.48296 (3*2π)/360120 weeks
41.17407 1.29351 (4*2π)/36090 weeks
52.1011 2.02709 (5*2π)/36072 weeks
62.56535 1.50082 (6*2π)/36060 weeks
71.76103 2.24865 (7*2π)/36051 weeks
81.27156 1.93345 (8*2π)/36045 weeks
9.53803 3.03797 (9*2π)/36040 weeks
10.45315 2.33417 (10*2π)/36036 weeks
11-.52022 1.25638 (11*2π)/36033 weeks
12.22067 1.30872 (12*2π)/36030 weeks
13.05196 .95912 (13*2π)/36028 weeks
14.75036 .88857 (14*2π)/36026 weeks
151.03739 .71983 (15*2π)/36024 weeks
16.27914 .95961 (16*2π)/36023 weeks
17.63259 1.5481 (17*2π)/36021 weeks
18.38554 .84083 (18*2π)/36020 weeks
19.03768 .65634 (19*2π)/36019 weeks
20.60131 .81646 (20*2π)/36018 weeks
21.27025 .80259 (21*2π)/36017 weeks
22.43193 .63631 (22*2π)/36016 weeks
23.15829 .60533 (23*2π)/36016 weeks
24.50863 .46598 (24*2π)/36015 weeks
25.57927 .36378 (25*2π)/36014 weeks
26.49961 .34955 (26*2π)/36014 weeks
27.85694 .38006 (27*2π)/36013 weeks
281.03542 .56782 (28*2π)/36013 weeks
29.9974 .73498 (29*2π)/36012 weeks
30.77816 1.00377 (30*2π)/36012 weeks
31.64874 1.07998 (31*2π)/36012 weeks
32.39482 .82167 (32*2π)/36011 weeks
33.3863 .58792 (33*2π)/36011 weeks
34.73476 .6405 (34*2π)/36011 weeks
35.50757 .50621 (35*2π)/36010 weeks
36.68254 .72905 (36*2π)/36010 weeks
37.69534 .87797 (37*2π)/36010 weeks
38.08588 .82632 (38*2π)/3609 weeks
39.37324 .66335 (39*2π)/3609 weeks
40.29995 .5731 (40*2π)/3609 weeks
41.27453 .67575 (41*2π)/3609 weeks
42.4823 .74998 (42*2π)/3609 weeks
43.38688 .64574 (43*2π)/3608 weeks
44.30157 .93875 (44*2π)/3608 weeks
45.05972 .81257 (45*2π)/3608 weeks
46.0522 1.0017 (46*2π)/3608 weeks
47-.04316 .72446 (47*2π)/3608 weeks
48-.19956 .55004 (48*2π)/3608 weeks
49.05828 .6799 (49*2π)/3607 weeks
50-.19305 .73334 (50*2π)/3607 weeks
51-.14219 .4693 (51*2π)/3607 weeks
52-.25733 .43377 (52*2π)/3607 weeks
53-.17618 .22997 (53*2π)/3607 weeks
54-.05242 .17758 (54*2π)/3607 weeks
55-.08874 .13879 (55*2π)/3607 weeks
56.09562 .14804 (56*2π)/3606 weeks
57.14374 .11318 (57*2π)/3606 weeks
58.25106 .14068 (58*2π)/3606 weeks
59.17183 .20447 (59*2π)/3606 weeks
60.03442 .33635 (60*2π)/3606 weeks
61.1466 .20163 (61*2π)/3606 weeks
62-.00591 .11827 (62*2π)/3606 weeks
63.15482 .17769 (63*2π)/3606 weeks
64.16227 .12087 (64*2π)/3606 weeks
65.2003 .11115 (65*2π)/3606 weeks
66.28006 .19879 (66*2π)/3605 weeks
67.14808 .09112 (67*2π)/3605 weeks
68.24584 .14138 (68*2π)/3605 weeks
69.16305 .02307 (69*2π)/3605 weeks
70.27576 -.00192 (70*2π)/3605 weeks
71.2715 .05964 (71*2π)/3605 weeks
72.1526 -.02623 (72*2π)/3605 weeks
73.40399 .02817 (73*2π)/3605 weeks
74.31789 .03228 (74*2π)/3605 weeks
75.30763 .06059 (75*2π)/3605 weeks
76.3344 .14522 (76*2π)/3605 weeks
77.28642 .09106 (77*2π)/3605 weeks
78.24237 .04437 (78*2π)/3605 weeks
79.34536 .08596 (79*2π)/3605 weeks
80.42239 .11163 (80*2π)/3605 weeks
81.36529 .03204 (81*2π)/3604 weeks
82.41953 .13513 (82*2π)/3604 weeks
83.47599 .15968 (83*2π)/3604 weeks
84.28215 .08631 (84*2π)/3604 weeks
85.44505 .09392 (85*2π)/3604 weeks
86.39453 .1888 (86*2π)/3604 weeks
87.4383 .19874 (87*2π)/3604 weeks
88.37201 .2012 (88*2π)/3604 weeks
89.37778 .24119 (89*2π)/3604 weeks
90.39639 .233 (90*2π)/3604 weeks
91.25936 .1824 (91*2π)/3604 weeks
92.37428 .1998 (92*2π)/3604 weeks
93.34358 .15817 (93*2π)/3604 weeks
94.32694 .18592 (94*2π)/3604 weeks
95.44257 .20319 (95*2π)/3604 weeks
96.27003 .22188 (96*2π)/3604 weeks
97.34184 .32777 (97*2π)/3604 weeks
98.28404 .29785 (98*2π)/3604 weeks
99.23493 .19098 (99*2π)/3604 weeks
100.1691 .22006 (100*2π)/3604 weeks
101.25649 .24085 (101*2π)/3604 weeks
102.3425 .19061 (102*2π)/3604 weeks
103.25602 .24235 (103*2π)/3603 weeks
104.16562 .29955 (104*2π)/3603 weeks
105.13566 .26947 (105*2π)/3603 weeks
106.12668 .13525 (106*2π)/3603 weeks
107.07383 .11522 (107*2π)/3603 weeks
108.09496 .09918 (108*2π)/3603 weeks
109.18211 .04264 (109*2π)/3603 weeks
110.13387 .10423 (110*2π)/3603 weeks
111.20531 .06704 (111*2π)/3603 weeks
112.19217 .16167 (112*2π)/3603 weeks
113.15837 -.00833 (113*2π)/3603 weeks
114.2796 -.05355 (114*2π)/3603 weeks
115.27939 .0329 (115*2π)/3603 weeks
116.38172 .02193 (116*2π)/3603 weeks
117.41101 .13389 (117*2π)/3603 weeks
118.32117 .16702 (118*2π)/3603 weeks
119.28856 .11632 (119*2π)/3603 weeks
120.33108 .19577 (120*2π)/3603 weeks
121.18363 .04963 (121*2π)/3603 weeks
122.26668 .02205 (122*2π)/3603 weeks
123.38736 -.01353 (123*2π)/3603 weeks
124.33757 .10277 (124*2π)/3603 weeks
125.35838 .09671 (125*2π)/3603 weeks
126.34548 .11443 (126*2π)/3603 weeks
127.26683 .11108 (127*2π)/3603 weeks
128.30552 .01069 (128*2π)/3603 weeks
129.27844 .06561 (129*2π)/3603 weeks
130.29017 .07591 (130*2π)/3603 weeks
131.45266 .06815 (131*2π)/3603 weeks
132.32124 .2692 (132*2π)/3603 weeks
133.22534 .28848 (133*2π)/3603 weeks
134.16485 .26077 (134*2π)/3603 weeks
135.15117 .14202 (135*2π)/3603 weeks
136.13768 .15813 (136*2π)/3603 weeks
137.14324 .07519 (137*2π)/3603 weeks
138.13318 .03618 (138*2π)/3603 weeks
139.16487 .03006 (139*2π)/3603 weeks
140.15559 .03753 (140*2π)/3603 weeks
141.17903 .07016 (141*2π)/3603 weeks
142.11908 .0303 (142*2π)/3603 weeks
143.21638 -.02112 (143*2π)/3603 weeks
144.22813 -.03848 (144*2π)/3603 weeks
145.28409 .01657 (145*2π)/3602 weeks
146.29012 .00187 (146*2π)/3602 weeks
147.2661 .02836 (147*2π)/3602 weeks
148.22032 .00181 (148*2π)/3602 weeks
149.25585 .03306 (149*2π)/3602 weeks
150.25778 -.06077 (150*2π)/3602 weeks
151.30392 .00713 (151*2π)/3602 weeks
152.2751 -.02298 (152*2π)/3602 weeks
153.30459 .0104 (153*2π)/3602 weeks
154.33098 .03393 (154*2π)/3602 weeks
155.28561 .05224 (155*2π)/3602 weeks
156.20026 -.0329 (156*2π)/3602 weeks
157.29692 .04572 (157*2π)/3602 weeks
158.32967 .01366 (158*2π)/3602 weeks
159.28512 .05625 (159*2π)/3602 weeks
160.32417 .06364 (160*2π)/3602 weeks
161.24828 .14016 (161*2π)/3602 weeks
162.14751 .08929 (162*2π)/3602 weeks
163.12374 .10645 (163*2π)/3602 weeks
164.1341 .03531 (164*2π)/3602 weeks
165.1041 -.03527 (165*2π)/3602 weeks
166.13785 -.0333 (166*2π)/3602 weeks
167.1412 -.10374 (167*2π)/3602 weeks
168.26218 -.07461 (168*2π)/3602 weeks
169.26832 -.02973 (169*2π)/3602 weeks
170.25726 -.13461 (170*2π)/3602 weeks
171.29072 -.06832 (171*2π)/3602 weeks
172.29619 -.07152 (172*2π)/3602 weeks
173.28896 -.02533 (173*2π)/3602 weeks
174.38036 -.09045 (174*2π)/3602 weeks
175.33575 -.01477 (175*2π)/3602 weeks
176.362 -.00873 (176*2π)/3602 weeks
177.34591 -.05479 (177*2π)/3602 weeks
178.31786 .05727 (178*2π)/3602 weeks
179.32695 .01521 (179*2π)/3602 weeks
180.30917   (180*2π)/3602 weeks
181.32695 -.01521 (181*2π)/3602 weeks
182.31786 -.05727 (182*2π)/3602 weeks
183.34591 .05479 (183*2π)/3602 weeks
184.362 .00873 (184*2π)/3602 weeks
185.33575 .01477 (185*2π)/3602 weeks
186.38036 .09045 (186*2π)/3602 weeks
187.28896 .02533 (187*2π)/3602 weeks
188.29619 .07152 (188*2π)/3602 weeks
189.29072 .06832 (189*2π)/3602 weeks
190.25726 .13461 (190*2π)/3602 weeks
191.26832 .02973 (191*2π)/3602 weeks
192.26218 .07461 (192*2π)/3602 weeks
193.1412 .10374 (193*2π)/3602 weeks
194.13785 .0333 (194*2π)/3602 weeks
195.1041 .03527 (195*2π)/3602 weeks
196.1341 -.03531 (196*2π)/3602 weeks
197.12374 -.10645 (197*2π)/3602 weeks
198.14751 -.08929 (198*2π)/3602 weeks
199.24828 -.14016 (199*2π)/3602 weeks
200.32417 -.06364 (200*2π)/3602 weeks
201.28512 -.05625 (201*2π)/3602 weeks
202.32967 -.01366 (202*2π)/3602 weeks
203.29692 -.04572 (203*2π)/3602 weeks
204.20026 .0329 (204*2π)/3602 weeks
205.28561 -.05224 (205*2π)/3602 weeks
206.33098 -.03393 (206*2π)/3602 weeks
207.30459 -.0104 (207*2π)/3602 weeks
208.2751 .02298 (208*2π)/3602 weeks
209.30392 -.00713 (209*2π)/3602 weeks
210.25778 .06077 (210*2π)/3602 weeks
211.25585 -.03306 (211*2π)/3602 weeks
212.22032 -.00181 (212*2π)/3602 weeks
213.2661 -.02836 (213*2π)/3602 weeks
214.29012 -.00187 (214*2π)/3602 weeks
215.28409 -.01657 (215*2π)/3602 weeks
216.22813 .03848 (216*2π)/3602 weeks
217.21638 .02112 (217*2π)/3602 weeks
218.11908 -.0303 (218*2π)/3602 weeks
219.17903 -.07016 (219*2π)/3602 weeks
220.15559 -.03753 (220*2π)/3602 weeks
221.16487 -.03006 (221*2π)/3602 weeks
222.13318 -.03618 (222*2π)/3602 weeks
223.14324 -.07519 (223*2π)/3602 weeks
224.13768 -.15813 (224*2π)/3602 weeks
225.15117 -.14202 (225*2π)/3602 weeks
226.16485 -.26077 (226*2π)/3602 weeks
227.22534 -.28848 (227*2π)/3602 weeks
228.32124 -.2692 (228*2π)/3602 weeks
229.45266 -.06815 (229*2π)/3602 weeks
230.29017 -.07591 (230*2π)/3602 weeks
231.27844 -.06561 (231*2π)/3602 weeks
232.30552 -.01069 (232*2π)/3602 weeks
233.26683 -.11108 (233*2π)/3602 weeks
234.34548 -.11443 (234*2π)/3602 weeks
235.35838 -.09671 (235*2π)/3602 weeks
236.33757 -.10277 (236*2π)/3602 weeks
237.38736 .01353 (237*2π)/3602 weeks
238.26668 -.02205 (238*2π)/3602 weeks
239.18363 -.04963 (239*2π)/3602 weeks
240.33108 -.19577 (240*2π)/3602 weeks
241.28856 -.11632 (241*2π)/3601 weeks
242.32117 -.16702 (242*2π)/3601 weeks
243.41101 -.13389 (243*2π)/3601 weeks
244.38172 -.02193 (244*2π)/3601 weeks
245.27939 -.0329 (245*2π)/3601 weeks
246.2796 .05355 (246*2π)/3601 weeks
247.15837 .00833 (247*2π)/3601 weeks
248.19217 -.16167 (248*2π)/3601 weeks
249.20531 -.06704 (249*2π)/3601 weeks
250.13387 -.10423 (250*2π)/3601 weeks
251.18211 -.04264 (251*2π)/3601 weeks
252.09496 -.09918 (252*2π)/3601 weeks
253.07383 -.11522 (253*2π)/3601 weeks
254.12668 -.13525 (254*2π)/3601 weeks
255.13566 -.26947 (255*2π)/3601 weeks
256.16562 -.29955 (256*2π)/3601 weeks
257.25602 -.24235 (257*2π)/3601 weeks
258.3425 -.19061 (258*2π)/3601 weeks
259.25649 -.24085 (259*2π)/3601 weeks
260.1691 -.22006 (260*2π)/3601 weeks
261.23493 -.19098 (261*2π)/3601 weeks
262.28404 -.29785 (262*2π)/3601 weeks
263.34184 -.32777 (263*2π)/3601 weeks
264.27003 -.22188 (264*2π)/3601 weeks
265.44257 -.20319 (265*2π)/3601 weeks
266.32694 -.18592 (266*2π)/3601 weeks
267.34358 -.15817 (267*2π)/3601 weeks
268.37428 -.1998 (268*2π)/3601 weeks
269.25936 -.1824 (269*2π)/3601 weeks
270.39639 -.233 (270*2π)/3601 weeks
271.37778 -.24119 (271*2π)/3601 weeks
272.37201 -.2012 (272*2π)/3601 weeks
273.4383 -.19874 (273*2π)/3601 weeks
274.39453 -.1888 (274*2π)/3601 weeks
275.44505 -.09392 (275*2π)/3601 weeks
276.28215 -.08631 (276*2π)/3601 weeks
277.47599 -.15968 (277*2π)/3601 weeks
278.41953 -.13513 (278*2π)/3601 weeks
279.36529 -.03204 (279*2π)/3601 weeks
280.42239 -.11163 (280*2π)/3601 weeks
281.34536 -.08596 (281*2π)/3601 weeks
282.24237 -.04437 (282*2π)/3601 weeks
283.28642 -.09106 (283*2π)/3601 weeks
284.3344 -.14522 (284*2π)/3601 weeks
285.30763 -.06059 (285*2π)/3601 weeks
286.31789 -.03228 (286*2π)/3601 weeks
287.40399 -.02817 (287*2π)/3601 weeks
288.1526 .02623 (288*2π)/3601 weeks
289.2715 -.05964 (289*2π)/3601 weeks
290.27576 .00192 (290*2π)/3601 weeks
291.16305 -.02307 (291*2π)/3601 weeks
292.24584 -.14138 (292*2π)/3601 weeks
293.14808 -.09112 (293*2π)/3601 weeks
294.28006 -.19879 (294*2π)/3601 weeks
295.2003 -.11115 (295*2π)/3601 weeks
296.16227 -.12087 (296*2π)/3601 weeks
297.15482 -.17769 (297*2π)/3601 weeks
298-.00591 -.11827 (298*2π)/3601 weeks
299.1466 -.20163 (299*2π)/3601 weeks
300.03442 -.33635 (300*2π)/3601 weeks
301.17183 -.20447 (301*2π)/3601 weeks
302.25106 -.14068 (302*2π)/3601 weeks
303.14374 -.11318 (303*2π)/3601 weeks
304.09562 -.14804 (304*2π)/3601 weeks
305-.08874 -.13879 (305*2π)/3601 weeks
306-.05242 -.17758 (306*2π)/3601 weeks
307-.17618 -.22997 (307*2π)/3601 weeks
308-.25733 -.43377 (308*2π)/3601 weeks
309-.14219 -.4693 (309*2π)/3601 weeks
310-.19305 -.73334 (310*2π)/3601 weeks
311.05828 -.6799 (311*2π)/3601 weeks
312-.19956 -.55004 (312*2π)/3601 weeks
313-.04316 -.72446 (313*2π)/3601 weeks
314.0522 -1.0017 (314*2π)/3601 weeks
315.05972 -.81257 (315*2π)/3601 weeks
316.30157 -.93875 (316*2π)/3601 weeks
317.38688 -.64574 (317*2π)/3601 weeks
318.4823 -.74998 (318*2π)/3601 weeks
319.27453 -.67575 (319*2π)/3601 weeks
320.29995 -.5731 (320*2π)/3601 weeks
321.37324 -.66335 (321*2π)/3601 weeks
322.08588 -.82632 (322*2π)/3601 weeks
323.69534 -.87797 (323*2π)/3601 weeks
324.68254 -.72905 (324*2π)/3601 weeks
325.50757 -.50621 (325*2π)/3601 weeks
326.73476 -.6405 (326*2π)/3601 weeks
327.3863 -.58792 (327*2π)/3601 weeks
328.39482 -.82167 (328*2π)/3601 weeks
329.64874 -1.07998 (329*2π)/3601 weeks
330.77816 -1.00377 (330*2π)/3601 weeks
331.9974 -.73498 (331*2π)/3601 weeks
3321.03542 -.56782 (332*2π)/3601 weeks
333.85694 -.38006 (333*2π)/3601 weeks
334.49961 -.34955 (334*2π)/3601 weeks
335.57927 -.36378 (335*2π)/3601 weeks
336.50863 -.46598 (336*2π)/3601 weeks
337.15829 -.60533 (337*2π)/3601 weeks
338.43193 -.63631 (338*2π)/3601 weeks
339.27025 -.80259 (339*2π)/3601 weeks
340.60131 -.81646 (340*2π)/3601 weeks
341.03768 -.65634 (341*2π)/3601 weeks
342.38554 -.84083 (342*2π)/3601 weeks
343.63259 -1.5481 (343*2π)/3601 weeks
344.27914 -.95961 (344*2π)/3601 weeks
3451.03739 -.71983 (345*2π)/3601 weeks
346.75036 -.88857 (346*2π)/3601 weeks
347.05196 -.95912 (347*2π)/3601 weeks
348.22067 -1.30872 (348*2π)/3601 weeks
349-.52022 -1.25638 (349*2π)/3601 weeks
350.45315 -2.33417 (350*2π)/3601 weeks
351.53803 -3.03797 (351*2π)/3601 weeks
3521.27156 -1.93345 (352*2π)/3601 weeks
3531.76103 -2.24865 (353*2π)/3601 weeks
3542.56535 -1.50082 (354*2π)/3601 weeks
3552.1011 -2.02709 (355*2π)/3601 weeks
3561.17407 -1.29351 (356*2π)/3601 weeks
3573.25779 -3.48296 (357*2π)/3601 weeks
3583.57093 -5.3823 (358*2π)/3601 weeks