Back to list of Stocks    See Also: Seasonal Analysis of CMLGenetic Algorithms Stock Portfolio Generator, and Best Months to Buy/Sell Stocks

Fourier Analysis of CML (Coronation Fund Managers Ltd)


CML (Coronation Fund Managers Ltd) appears to have interesting cyclic behaviour every 32 weeks (4.6117*sine), 35 weeks (4.4852*cosine), and 11 weeks (3.5175*cosine).

CML (Coronation Fund Managers Ltd) 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.

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 10/16/2017 for CML (Coronation Fund Managers Ltd), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
09.30328   0 
13.51385 -3.07773 (1*2π)/350350 weeks
21.80147 5.30775 (2*2π)/350175 weeks
35.61258 4.51225 (3*2π)/350117 weeks
4-1.07037 2.7597 (4*2π)/35088 weeks
5.41805 4.49184 (5*2π)/35070 weeks
6-.07369 -2.50046 (6*2π)/35058 weeks
7-4.81173 -.39313 (7*2π)/35050 weeks
8.02175 3.64892 (8*2π)/35044 weeks
93.61955 -3.26228 (9*2π)/35039 weeks
10-4.48524 -2.47384 (10*2π)/35035 weeks
11-.81163 4.61172 (11*2π)/35032 weeks
121.07942 1.52941 (12*2π)/35029 weeks
13-1.54784 2.00068 (13*2π)/35027 weeks
14-.06221 1.85965 (14*2π)/35025 weeks
15-1.15631 .4688 (15*2π)/35023 weeks
16-1.27611 1.96342 (16*2π)/35022 weeks
171.45237 2.64622 (17*2π)/35021 weeks
183.40308 -.88973 (18*2π)/35019 weeks
19-1.47195 -.91341 (19*2π)/35018 weeks
20.66782 4.14976 (20*2π)/35018 weeks
213.1194 -.24153 (21*2π)/35017 weeks
22-1.25376 .1897 (22*2π)/35016 weeks
231.83738 1.83219 (23*2π)/35015 weeks
241.70456 -2.0038 (24*2π)/35015 weeks
25-.46689 -1.80801 (25*2π)/35014 weeks
26.06471 -.69862 (26*2π)/35013 weeks
27-.31859 -1.38857 (27*2π)/35013 weeks
28-1.95314 .9236 (28*2π)/35013 weeks
291.73446 2.10961 (29*2π)/35012 weeks
30.70568 -2.53305 (30*2π)/35012 weeks
31-3.51749 .2462 (31*2π)/35011 weeks
32.08992 1.50647 (32*2π)/35011 weeks
33-.60344 -.63709 (33*2π)/35011 weeks
34-.7429 .53073 (34*2π)/35010 weeks
35-1.09984 .47695 (35*2π)/35010 weeks
36-.10606 2.5123 (36*2π)/35010 weeks
371.51245 1.49213 (37*2π)/3509 weeks
381.19311 .77659 (38*2π)/3509 weeks
39.37941 -.90227 (39*2π)/3509 weeks
40-1.93336 .93568 (40*2π)/3509 weeks
411.75339 2.62116 (41*2π)/3509 weeks
422.35118 -1.40965 (42*2π)/3508 weeks
43-.08643 -1.47855 (43*2π)/3508 weeks
44-.70629 -.02579 (44*2π)/3508 weeks
45.49353 1.55114 (45*2π)/3508 weeks
461.78133 .09265 (46*2π)/3508 weeks
47.87644 -.92077 (47*2π)/3507 weeks
48-.39696 -2.04049 (48*2π)/3507 weeks
49-2.45622 -.19699 (49*2π)/3507 weeks
50.08555 1.20349 (50*2π)/3507 weeks
51-.12912 -.65616 (51*2π)/3507 weeks
52-.30772 .41194 (52*2π)/3507 weeks
53-.27894 .21377 (53*2π)/3507 weeks
54.21259 1.69532 (54*2π)/3506 weeks
551.34455 -.80863 (55*2π)/3506 weeks
56-1.95422 -.3042 (56*2π)/3506 weeks
57.15159 1.46828 (57*2π)/3506 weeks
58-.81404 -.35455 (58*2π)/3506 weeks
59-.08535 2.53271 (59*2π)/3506 weeks
602.96604 -.03411 (60*2π)/3506 weeks
61.04627 -1.52179 (61*2π)/3506 weeks
62-.21081 .6919 (62*2π)/3506 weeks
63.87902 -.26067 (63*2π)/3506 weeks
64-1.04616 -.38611 (64*2π)/3505 weeks
65.05357 1.91357 (65*2π)/3505 weeks
662.18104 -1.39396 (66*2π)/3505 weeks
67-2.45361 -1.61126 (67*2π)/3505 weeks
68.18891 2.50314 (68*2π)/3505 weeks
691.1565 -1.48639 (69*2π)/3505 weeks
70-1.0388 1.07411 (70*2π)/3505 weeks
712.26361 -.22253 (71*2π)/3505 weeks
72-2.19353 -1.78081 (72*2π)/3505 weeks
73-1.17621 2.65336 (73*2π)/3505 weeks
741.48615 .3953 (74*2π)/3505 weeks
75-.27214 -.23237 (75*2π)/3505 weeks
76.26934 .53401 (76*2π)/3505 weeks
77.67007 .08989 (77*2π)/3505 weeks
78.65261 .12549 (78*2π)/3504 weeks
791.1425 -.21221 (79*2π)/3504 weeks
80-.25748 -1.84457 (80*2π)/3504 weeks
81-2.45484 1.03577 (81*2π)/3504 weeks
821.46283 2.06985 (82*2π)/3504 weeks
83.94965 -1.01002 (83*2π)/3504 weeks
84.73395 -.33199 (84*2π)/3504 weeks
85-.17285 -2.37315 (85*2π)/3504 weeks
86-2.25037 .50212 (86*2π)/3504 weeks
87.72336 1.16666 (87*2π)/3504 weeks
88-.23837 -.26842 (88*2π)/3504 weeks
89-.3133 .57732 (89*2π)/3504 weeks
90-.56377 .31757 (90*2π)/3504 weeks
91.2465 1.22876 (91*2π)/3504 weeks
92.50141 -.47411 (92*2π)/3504 weeks
93-.47261 .5005 (93*2π)/3504 weeks
94.81361 .18381 (94*2π)/3504 weeks
95-.18642 .42374 (95*2π)/3504 weeks
96.92217 .81318 (96*2π)/3504 weeks
97.53521 -.21217 (97*2π)/3504 weeks
98.20207 .19529 (98*2π)/3504 weeks
99.30516 .58054 (99*2π)/3504 weeks
1001.71923 -.25366 (100*2π)/3504 weeks
101.01187 -2.00591 (101*2π)/3503 weeks
102-.32669 .36564 (102*2π)/3503 weeks
103.97793 -1.51978 (103*2π)/3503 weeks
104-2.21527 -.6233 (104*2π)/3503 weeks
105.39174 1.70237 (105*2π)/3503 weeks
106.10144 -.91008 (106*2π)/3503 weeks
107-.4137 .82007 (107*2π)/3503 weeks
108.86342 -1.01139 (108*2π)/3503 weeks
109-1.51059 -1.25158 (109*2π)/3503 weeks
110-1.97269 .61007 (110*2π)/3503 weeks
111-.42042 2.20143 (111*2π)/3503 weeks
1121.43433 .70774 (112*2π)/3503 weeks
113-.29366 .23766 (113*2π)/3503 weeks
114.7501 1.17741 (114*2π)/3503 weeks
115.35514 -.37611 (115*2π)/3503 weeks
116-.12359 1.15041 (116*2π)/3503 weeks
1171.42894 -.00991 (117*2π)/3503 weeks
118.0306 -.70941 (118*2π)/3503 weeks
119.00416 .54492 (119*2π)/3503 weeks
1201.32868 .95142 (120*2π)/3503 weeks
1211.99942 -1.41191 (121*2π)/3503 weeks
122-1.13177 -1.02552 (122*2π)/3503 weeks
123.97334 .68516 (123*2π)/3503 weeks
124-.16606 -2.05667 (124*2π)/3503 weeks
125-.80657 .90663 (125*2π)/3503 weeks
1261.61207 -1.70987 (126*2π)/3503 weeks
127-2.99309 -1.82943 (127*2π)/3503 weeks
128-.87573 2.42522 (128*2π)/3503 weeks
1291.02823 -.04476 (129*2π)/3503 weeks
130-.4457 .22212 (130*2π)/3503 weeks
131.5167 -.04693 (131*2π)/3503 weeks
132-.94003 -1.0035 (132*2π)/3503 weeks
133-2.12857 1.06145 (133*2π)/3503 weeks
134.54429 2.21286 (134*2π)/3503 weeks
135.72447 -.49223 (135*2π)/3503 weeks
136-.57915 1.63184 (136*2π)/3503 weeks
1372.52875 .62676 (137*2π)/3503 weeks
138-.24098 -.89604 (138*2π)/3503 weeks
1391.25237 1.26802 (139*2π)/3503 weeks
140.71071 -2.07164 (140*2π)/3503 weeks
141-1.96419 1.04204 (141*2π)/3502 weeks
1422.13869 1.14526 (142*2π)/3502 weeks
143.71516 -1.31364 (143*2π)/3502 weeks
144.72662 -.26496 (144*2π)/3502 weeks
145.31712 -1.70167 (145*2π)/3502 weeks
146-.94672 -.25795 (146*2π)/3502 weeks
147.20977 .40697 (147*2π)/3502 weeks
148.53263 -.79234 (148*2π)/3502 weeks
149-1.17554 -1.23763 (149*2π)/3502 weeks
150-1.18348 .88318 (150*2π)/3502 weeks
151.06293 -.02149 (151*2π)/3502 weeks
152-.64672 .49239 (152*2π)/3502 weeks
153.88545 .10088 (153*2π)/3502 weeks
154-.99374 -.46532 (154*2π)/3502 weeks
155.24546 1.36497 (155*2π)/3502 weeks
156.22952 -.87413 (156*2π)/3502 weeks
157-1.33507 1.07816 (157*2π)/3502 weeks
158.48744 .73826 (158*2π)/3502 weeks
159-.53534 1.16631 (159*2π)/3502 weeks
1602.48136 1.34765 (160*2π)/3502 weeks
1611.21857 -2.13718 (161*2π)/3502 weeks
162-.85151 -.33674 (162*2π)/3502 weeks
163.15937 .3448 (163*2π)/3502 weeks
164.26455 .3929 (164*2π)/3502 weeks
165.40653 .15189 (165*2π)/3502 weeks
166.73199 .17385 (166*2π)/3502 weeks
167.5403 -.91345 (167*2π)/3502 weeks
168-.22454 .02307 (168*2π)/3502 weeks
1691.48527 -.9734 (169*2π)/3502 weeks
170-1.40503 -2.04609 (170*2π)/3502 weeks
171-1.08465 1.47638 (171*2π)/3502 weeks
172.85257 .01407 (172*2π)/3502 weeks
173-.05485 -.09708 (173*2π)/3502 weeks
174.08042 -.68841 (174*2π)/3502 weeks
175-1.40189   (175*2π)/3502 weeks
176.08042 .68841 (176*2π)/3502 weeks
177-.05485 .09708 (177*2π)/3502 weeks
178.85257 -.01407 (178*2π)/3502 weeks
179-1.08465 -1.47638 (179*2π)/3502 weeks
180-1.40503 2.04609 (180*2π)/3502 weeks
1811.48527 .9734 (181*2π)/3502 weeks
182-.22454 -.02307 (182*2π)/3502 weeks
183.5403 .91345 (183*2π)/3502 weeks
184.73199 -.17385 (184*2π)/3502 weeks
185.40653 -.15189 (185*2π)/3502 weeks
186.26455 -.3929 (186*2π)/3502 weeks
187.15937 -.3448 (187*2π)/3502 weeks
188-.85151 .33674 (188*2π)/3502 weeks
1891.21857 2.13718 (189*2π)/3502 weeks
1902.48136 -1.34765 (190*2π)/3502 weeks
191-.53534 -1.16631 (191*2π)/3502 weeks
192.48744 -.73826 (192*2π)/3502 weeks
193-1.33507 -1.07816 (193*2π)/3502 weeks
194.22952 .87413 (194*2π)/3502 weeks
195.24546 -1.36497 (195*2π)/3502 weeks
196-.99374 .46532 (196*2π)/3502 weeks
197.88545 -.10088 (197*2π)/3502 weeks
198-.64672 -.49239 (198*2π)/3502 weeks
199.06293 .02149 (199*2π)/3502 weeks
200-1.18348 -.88318 (200*2π)/3502 weeks
201-1.17554 1.23763 (201*2π)/3502 weeks
202.53263 .79234 (202*2π)/3502 weeks
203.20977 -.40697 (203*2π)/3502 weeks
204-.94672 .25795 (204*2π)/3502 weeks
205.31712 1.70167 (205*2π)/3502 weeks
206.72662 .26496 (206*2π)/3502 weeks
207.71516 1.31364 (207*2π)/3502 weeks
2082.13869 -1.14526 (208*2π)/3502 weeks
209-1.96419 -1.04204 (209*2π)/3502 weeks
210.71071 2.07164 (210*2π)/3502 weeks
2111.25237 -1.26802 (211*2π)/3502 weeks
212-.24098 .89604 (212*2π)/3502 weeks
2132.52875 -.62676 (213*2π)/3502 weeks
214-.57915 -1.63184 (214*2π)/3502 weeks
215.72447 .49223 (215*2π)/3502 weeks
216.54429 -2.21286 (216*2π)/3502 weeks
217-2.12857 -1.06145 (217*2π)/3502 weeks
218-.94003 1.0035 (218*2π)/3502 weeks
219.5167 .04693 (219*2π)/3502 weeks
220-.4457 -.22212 (220*2π)/3502 weeks
2211.02823 .04476 (221*2π)/3502 weeks
222-.87573 -2.42522 (222*2π)/3502 weeks
223-2.99309 1.82943 (223*2π)/3502 weeks
2241.61207 1.70987 (224*2π)/3502 weeks
225-.80657 -.90663 (225*2π)/3502 weeks
226-.16606 2.05667 (226*2π)/3502 weeks
227.97334 -.68516 (227*2π)/3502 weeks
228-1.13177 1.02552 (228*2π)/3502 weeks
2291.99942 1.41191 (229*2π)/3502 weeks
2301.32868 -.95142 (230*2π)/3502 weeks
231.00416 -.54492 (231*2π)/3502 weeks
232.0306 .70941 (232*2π)/3502 weeks
2331.42894 .00991 (233*2π)/3502 weeks
234-.12359 -1.15041 (234*2π)/3501 weeks
235.35514 .37611 (235*2π)/3501 weeks
236.7501 -1.17741 (236*2π)/3501 weeks
237-.29366 -.23766 (237*2π)/3501 weeks
2381.43433 -.70774 (238*2π)/3501 weeks
239-.42042 -2.20143 (239*2π)/3501 weeks
240-1.97269 -.61007 (240*2π)/3501 weeks
241-1.51059 1.25158 (241*2π)/3501 weeks
242.86342 1.01139 (242*2π)/3501 weeks
243-.4137 -.82007 (243*2π)/3501 weeks
244.10144 .91008 (244*2π)/3501 weeks
245.39174 -1.70237 (245*2π)/3501 weeks
246-2.21527 .6233 (246*2π)/3501 weeks
247.97793 1.51978 (247*2π)/3501 weeks
248-.32669 -.36564 (248*2π)/3501 weeks
249.01187 2.00591 (249*2π)/3501 weeks
2501.71923 .25366 (250*2π)/3501 weeks
251.30516 -.58054 (251*2π)/3501 weeks
252.20207 -.19529 (252*2π)/3501 weeks
253.53521 .21217 (253*2π)/3501 weeks
254.92217 -.81318 (254*2π)/3501 weeks
255-.18642 -.42374 (255*2π)/3501 weeks
256.81361 -.18381 (256*2π)/3501 weeks
257-.47261 -.5005 (257*2π)/3501 weeks
258.50141 .47411 (258*2π)/3501 weeks
259.2465 -1.22876 (259*2π)/3501 weeks
260-.56377 -.31757 (260*2π)/3501 weeks
261-.3133 -.57732 (261*2π)/3501 weeks
262-.23837 .26842 (262*2π)/3501 weeks
263.72336 -1.16666 (263*2π)/3501 weeks
264-2.25037 -.50212 (264*2π)/3501 weeks
265-.17285 2.37315 (265*2π)/3501 weeks
266.73395 .33199 (266*2π)/3501 weeks
267.94965 1.01002 (267*2π)/3501 weeks
2681.46283 -2.06985 (268*2π)/3501 weeks
269-2.45484 -1.03577 (269*2π)/3501 weeks
270-.25748 1.84457 (270*2π)/3501 weeks
2711.1425 .21221 (271*2π)/3501 weeks
272.65261 -.12549 (272*2π)/3501 weeks
273.67007 -.08989 (273*2π)/3501 weeks
274.26934 -.53401 (274*2π)/3501 weeks
275-.27214 .23237 (275*2π)/3501 weeks
2761.48615 -.3953 (276*2π)/3501 weeks
277-1.17621 -2.65336 (277*2π)/3501 weeks
278-2.19353 1.78081 (278*2π)/3501 weeks
2792.26361 .22253 (279*2π)/3501 weeks
280-1.0388 -1.07411 (280*2π)/3501 weeks
2811.1565 1.48639 (281*2π)/3501 weeks
282.18891 -2.50314 (282*2π)/3501 weeks
283-2.45361 1.61126 (283*2π)/3501 weeks
2842.18104 1.39396 (284*2π)/3501 weeks
285.05357 -1.91357 (285*2π)/3501 weeks
286-1.04616 .38611 (286*2π)/3501 weeks
287.87902 .26067 (287*2π)/3501 weeks
288-.21081 -.6919 (288*2π)/3501 weeks
289.04627 1.52179 (289*2π)/3501 weeks
2902.96604 .03411 (290*2π)/3501 weeks
291-.08535 -2.53271 (291*2π)/3501 weeks
292-.81404 .35455 (292*2π)/3501 weeks
293.15159 -1.46828 (293*2π)/3501 weeks
294-1.95422 .3042 (294*2π)/3501 weeks
2951.34455 .80863 (295*2π)/3501 weeks
296.21259 -1.69532 (296*2π)/3501 weeks
297-.27894 -.21377 (297*2π)/3501 weeks
298-.30772 -.41194 (298*2π)/3501 weeks
299-.12912 .65616 (299*2π)/3501 weeks
300.08555 -1.20349 (300*2π)/3501 weeks
301-2.45622 .19699 (301*2π)/3501 weeks
302-.39696 2.04049 (302*2π)/3501 weeks
303.87644 .92077 (303*2π)/3501 weeks
3041.78133 -.09265 (304*2π)/3501 weeks
305.49353 -1.55114 (305*2π)/3501 weeks
306-.70629 .02579 (306*2π)/3501 weeks
307-.08643 1.47855 (307*2π)/3501 weeks
3082.35118 1.40965 (308*2π)/3501 weeks
3091.75339 -2.62116 (309*2π)/3501 weeks
310-1.93336 -.93568 (310*2π)/3501 weeks
311.37941 .90227 (311*2π)/3501 weeks
3121.19311 -.77659 (312*2π)/3501 weeks
3131.51245 -1.49213 (313*2π)/3501 weeks
314-.10606 -2.5123 (314*2π)/3501 weeks
315-1.09984 -.47695 (315*2π)/3501 weeks
316-.7429 -.53073 (316*2π)/3501 weeks
317-.60344 .63709 (317*2π)/3501 weeks
318.08992 -1.50647 (318*2π)/3501 weeks
319-3.51749 -.2462 (319*2π)/3501 weeks
320.70568 2.53305 (320*2π)/3501 weeks
3211.73446 -2.10961 (321*2π)/3501 weeks
322-1.95314 -.9236 (322*2π)/3501 weeks
323-.31859 1.38857 (323*2π)/3501 weeks
324.06471 .69862 (324*2π)/3501 weeks
325-.46689 1.80801 (325*2π)/3501 weeks
3261.70456 2.0038 (326*2π)/3501 weeks
3271.83738 -1.83219 (327*2π)/3501 weeks
328-1.25376 -.1897 (328*2π)/3501 weeks
3293.1194 .24153 (329*2π)/3501 weeks
330.66782 -4.14976 (330*2π)/3501 weeks
331-1.47195 .91341 (331*2π)/3501 weeks
3323.40308 .88973 (332*2π)/3501 weeks
3331.45237 -2.64622 (333*2π)/3501 weeks
334-1.27611 -1.96342 (334*2π)/3501 weeks
335-1.15631 -.4688 (335*2π)/3501 weeks
336-.06221 -1.85965 (336*2π)/3501 weeks
337-1.54784 -2.00068 (337*2π)/3501 weeks
3381.07942 -1.52941 (338*2π)/3501 weeks
339-.81163 -4.61172 (339*2π)/3501 weeks
340-4.48524 2.47384 (340*2π)/3501 weeks
3413.61955 3.26228 (341*2π)/3501 weeks
342.02175 -3.64892 (342*2π)/3501 weeks
343-4.81173 .39313 (343*2π)/3501 weeks
344-.07369 2.50046 (344*2π)/3501 weeks
345.41805 -4.49184 (345*2π)/3501 weeks
346-1.07037 -2.7597 (346*2π)/3501 weeks
3475.61258 -4.51225 (347*2π)/3501 weeks
3481.80147 -5.30775 (348*2π)/3501 weeks



Back to list of Stocks